| Skill | KeyStage | Name | Direct Link | YouTube URL | Legacy Id (pre Sept22) |
|---|---|---|---|---|---|
| 1 | Secondary, Primary | Exam Practice: Numbers up to 100 | drfrost.org/explorer.php?ssid=4155 | E1 | |
| 1a | Secondary, Primary | Read numbers up to 10 in words and write in numerals. | drfrost.org/explorer.php?ssid=8543 | ||
| 1b | Secondary, Primary | Read numbers up to 10 in numerals and write in words. | drfrost.org/explorer.php?ssid=8544 | ||
| 1c | Secondary, Primary | Count up to 10 objects. | drfrost.org/explorer.php?ssid=8545 | ||
| 1d | Secondary, Primary | Count to 10 using numerals. | drfrost.org/explorer.php?ssid=8546 | ||
| 1e | Secondary, Primary | Read numbers up to 20 in words and write in numerals. | drfrost.org/explorer.php?ssid=4544 | ||
| 1f | Secondary, Primary | Read numbers up to 20 in numerals and write in words. | drfrost.org/explorer.php?ssid=4545 | ||
| 1g | Secondary, Primary | Count up to 20 objects. | drfrost.org/explorer.php?ssid=4546 | ||
| 1h | Secondary, Primary | Count to 20 using numerals. | drfrost.org/explorer.php?ssid=4547 | ||
| 1i | Secondary, Primary | Read numbers up to 100 in words and write in numerals. | drfrost.org/explorer.php?ssid=4548 | ||
| 1j | Secondary, Primary | Read numbers up to 100 in numerals and write in words. | drfrost.org/explorer.php?ssid=4549 | ||
| 1k | Secondary, Primary | Count up to 100 using numerals. | drfrost.org/explorer.php?ssid=4550 | ||
| 1l | Secondary, Primary | Classify and count a set of objects or pictures. | drfrost.org/explorer.php?ssid=8467 | ||
| 2 | Secondary, Primary | Exam Practice: Increasing and decreasing by 1 | drfrost.org/explorer.php?ssid=4156 | E2 | |
| 2a | Secondary, Primary | Increase and decrease numbers up to 10 by 1. | drfrost.org/explorer.php?ssid=8547 | ||
| 2b | Secondary, Primary | Increase and decrease numbers up to 20 by 1. | drfrost.org/explorer.php?ssid=4551 | ||
| 2c | Secondary, Primary | Increase and decrease numbers up to 100 by 1. | drfrost.org/explorer.php?ssid=4552 | ||
| 3 | Secondary, Primary | Exam Practice: Comparing amounts using words | drfrost.org/explorer.php?ssid=4157 | E3 | |
| 3a | Secondary, Primary | Compare up to 10 objects using words. | drfrost.org/explorer.php?ssid=8548 | ||
| 3b | Secondary, Primary | Compare up to 20 objects using words. | drfrost.org/explorer.php?ssid=4553 | ||
| 3c | Secondary, Primary | Compare numbers to 100 using words. | drfrost.org/explorer.php?ssid=4554 | ||
| 4 | Primary | Exam Practice: Counting by skipping in 2s, 3s, 5s or 10s | drfrost.org/explorer.php?ssid=4158 | E4 | |
| 4a | Primary | Count by skipping in 2s starting from 0. | drfrost.org/explorer.php?ssid=4555 | ||
| 4b | Primary | Count by skipping in 5s starting from 0. | drfrost.org/explorer.php?ssid=4556 | ||
| 4c | Primary | Count by skipping in 10s starting from 0. | drfrost.org/explorer.php?ssid=4557 | ||
| 4d | Primary | Count by skipping in 3s starting from 0. | drfrost.org/explorer.php?ssid=4558 | ||
| 4e | Primary | Count by skipping in 2s starting anywhere. | drfrost.org/explorer.php?ssid=4559 | ||
| 4f | Primary | Count by skipping in 5s starting anywhere. | drfrost.org/explorer.php?ssid=4560 | ||
| 4g | Primary | Count by skipping in 10s starting anywhere. | drfrost.org/explorer.php?ssid=4561 | ||
| 4h | Primary | Count by skipping in 3s starting anywhere. | drfrost.org/explorer.php?ssid=4562 | ||
| 5 | Secondary, Primary | Exam Practice: Odd and even numbers | drfrost.org/explorer.php?ssid=547 | E5 | |
| 5a | Secondary, Primary | Identify odd and even numbers. | drfrost.org/explorer.php?ssid=949 | https://www.youtube-nocookie.com/embed/g0RQgowIuMk | K21 |
| 5b | Secondary, Primary | Identify the next or previous odd or even number. | drfrost.org/explorer.php?ssid=4563 | ||
| 6 | Secondary, Primary | Exam Practice: Understanding (positive) whole numbers on a number line | drfrost.org/explorer.php?ssid=546 | E6 | |
| 6a | Secondary, Primary | Count to 10 using a number line. | drfrost.org/explorer.php?ssid=8549 | ||
| 6b | Secondary, Primary | Estimate the value indicated on a number line (up to 10). | drfrost.org/explorer.php?ssid=8550 | ||
| 6c | Secondary, Primary | Count to 20 using a number line. | drfrost.org/explorer.php?ssid=4564 | ||
| 6d | Secondary, Primary | Estimate the value indicated on a number line (up to 20). | drfrost.org/explorer.php?ssid=4565 | ||
| 6e | Secondary, Primary | Count up to 100 using a number line. | drfrost.org/explorer.php?ssid=4566 | ||
| 6f | Secondary, Primary | Estimate the value indicated on a number line (up to 100). | drfrost.org/explorer.php?ssid=4567 | ||
| 7 | Secondary, Primary | Exam Practice: Pictorial addition and subtraction (numbers up to 20) | drfrost.org/explorer.php?ssid=552 | E7 | |
| 7a | Secondary, Primary | Show more/less with a pictorial representation (for numbers up to 10). | drfrost.org/explorer.php?ssid=4568 | ||
| 7b | Secondary, Primary | Describe how many more/less from pictorial representations (for numbers up to 10). | drfrost.org/explorer.php?ssid=4569 | ||
| 7c | Secondary, Primary | Write an addition or subtraction problem from a pictorial representation (for numbers up to 10). | drfrost.org/explorer.php?ssid=4570 | ||
| 7d | Secondary, Primary | Use a pictorial representation to answer an addition or subtraction problem (for numbers up to 10). | drfrost.org/explorer.php?ssid=4571 | ||
| 7e | Secondary, Primary | Show more/less with a pictorial representation (for numbers up to 20). | drfrost.org/explorer.php?ssid=8551 | ||
| 7f | Secondary, Primary | Describe how many more/less from pictorial representations (for numbers up to 20). | drfrost.org/explorer.php?ssid=8552 | ||
| 7g | Secondary, Primary | Write an addition or subtraction problem from a pictorial representation (for numbers up to 20). | drfrost.org/explorer.php?ssid=8553 | ||
| 7h | Secondary, Primary | Use a pictorial representation to answer an addition or subtraction problem (for numbers up to 20). | drfrost.org/explorer.php?ssid=8554 | ||
| 8 | Secondary, Primary | Exam Practice: Number bonds for numbers up to 20 | drfrost.org/explorer.php?ssid=4159 | E8 | |
| 8a | Secondary, Primary | Use number bonds to 10. | drfrost.org/explorer.php?ssid=2322 | ||
| 8b | Secondary, Primary | Use number bonds within 10. | drfrost.org/explorer.php?ssid=8555 | ||
| 8c | Secondary, Primary | Use number bonds to 20. | drfrost.org/explorer.php?ssid=754 | K7 | |
| 8d | Secondary, Primary | Use number bonds to numbers between 10 and 20. | drfrost.org/explorer.php?ssid=2323 | ||
| 9 | Secondary, Primary | Exam Practice: Addition using numbers up to 20 | drfrost.org/explorer.php?ssid=4160 | E9 | |
| 9a | Secondary, Primary | Add single-digit numbers to give an answer up to 10. | drfrost.org/explorer.php?ssid=8556 | ||
| 9b | Secondary, Primary | Add single-digit numbers to give an answer up to 20. | drfrost.org/explorer.php?ssid=4572 | ||
| 9c | Secondary, Primary | Understand zero as the additive identity. | drfrost.org/explorer.php?ssid=4573 | ||
| 9d | Secondary, Primary | Add single-digit and double-digit numbers to give an answer up to 20. | drfrost.org/explorer.php?ssid=4574 | ||
| 9e | Secondary, Primary | Solve missing number addition problems with numbers up to 20. | drfrost.org/explorer.php?ssid=4575 | ||
| 10 | Secondary, Primary | Exam Practice: Subtraction using numbers up to 20 | drfrost.org/explorer.php?ssid=4161 | E10 | |
| 10a | Secondary, Primary | Subtract single-digit numbers to give an answer within 10. | drfrost.org/explorer.php?ssid=8557 | ||
| 10b | Secondary, Primary | Subtract a single-digit number from a double-digit number to give an answer within 20. | drfrost.org/explorer.php?ssid=4576 | ||
| 10c | Secondary, Primary | Subtract two double-digit numbers up to 20. | drfrost.org/explorer.php?ssid=4577 | ||
| 10d | Secondary, Primary | Solve missing number subtraction problems with numbers up to 20. | drfrost.org/explorer.php?ssid=4578 | ||
| 11 | Secondary, Primary | Exam Practice: Multiplication as arrays and repeated addition | drfrost.org/explorer.php?ssid=4162 | E11 | |
| 11a | Secondary, Primary | Use an array to give the value of a repeated addition. | drfrost.org/explorer.php?ssid=4579 | ||
| 11b | Secondary, Primary | Use an array to give the value of a 'lots of' statement. | drfrost.org/explorer.php?ssid=4580 | ||
| 11c | Secondary, Primary | Use repeated addition to double or triple a number, giving an answer up to 20. | drfrost.org/explorer.php?ssid=8749 | ||
| 12 | Secondary, Primary | Exam Practice: Division as grouping and sharing | drfrost.org/explorer.php?ssid=4163 | E12 | |
| 12a | Secondary, Primary | Split objects or an array by sharing equally. | drfrost.org/explorer.php?ssid=4581 | ||
| 12b | Secondary, Primary | Split objects or an array into equal sized groups. | drfrost.org/explorer.php?ssid=4582 | ||
| 12c | Secondary, Primary | Use grouping and sharing to halve a number up to 20. | drfrost.org/explorer.php?ssid=8750 | ||
| 13 | Secondary, Primary | Exam Practice: Understanding directional language | drfrost.org/explorer.php?ssid=4164 | E13 | |
| 13a | Secondary, Primary | Use positional language to describe object placement. | drfrost.org/explorer.php?ssid=4583 | ||
| 13b | Secondary, Primary | Use left/right/up/down to describe directions. | drfrost.org/explorer.php?ssid=4584 | ||
| 13c | Secondary, Primary | Use the language of rotation. | drfrost.org/explorer.php?ssid=4585 | ||
| 13d | Secondary, Primary | Understand compass directions. | drfrost.org/explorer.php?ssid=1443 | K323 | |
| 14 | Secondary, Primary | Exam Practice: Reading integer values off a scale | drfrost.org/explorer.php?ssid=412 | https://www.youtube-nocookie.com/embed/c7TyxqdI2aQ | E14 |
| 14a | Secondary, Primary | Read positive values off a scale with gaps of 1, starting at 0. | drfrost.org/explorer.php?ssid=2320 | ||
| 14b | Secondary, Primary | Read positive values off a scale with gaps of 1, starting at at any number. | drfrost.org/explorer.php?ssid=4586 | ||
| 14c | Secondary, Primary | Read positive values off a scale with gaps of 2, 3, 5 or 10, starting at 0. | drfrost.org/explorer.php?ssid=2324 | ||
| 14d | Secondary, Primary | Read positive values off a scale with gaps of 2, 3, 5 or 10, starting at any number. | drfrost.org/explorer.php?ssid=991 | https://www.youtube-nocookie.com/embed/1dNiD3Sv_Nc | K40 |
| 15 | Secondary, Primary | Exam Practice: Measuring using scales of lengths, mass and capacity | drfrost.org/explorer.php?ssid=538 | E15 | |
| 15a | Secondary, Primary | Describe and compare measurements of capacity read from scales using words. | drfrost.org/explorer.php?ssid=8452 | ||
| 15b | Secondary, Primary | Order three objects by length by use of one measure as a reference unit. | drfrost.org/explorer.php?ssid=4587 | ||
| 15c | Secondary, Primary | Measure a line correct to the nearest millimetre. | drfrost.org/explorer.php?ssid=1405 | K43 | |
| 15d | Secondary, Primary | Draw a line correct to the nearest millimetre. | drfrost.org/explorer.php?ssid=1417 | K44 | |
| 15e | Secondary, Primary | Measure a line correct to the nearest quarter inch. | drfrost.org/explorer.php?ssid=4588 | ||
| 15f | Secondary, Primary | Draw a line correct to the nearest quarter inch. | drfrost.org/explorer.php?ssid=4589 | ||
| 15g | Secondary, Primary | Read the measurement for a capacity. | drfrost.org/explorer.php?ssid=4590 | ||
| 15h | Secondary, Primary | Read a measurement for mass. | drfrost.org/explorer.php?ssid=4591 | ||
| 15i | Secondary, Primary | Read a positive temperature off a thermometer. | drfrost.org/explorer.php?ssid=4592 | ||
| 15j | Secondary, Primary | Read measurements of other scales, e.g. speed or pressure. | drfrost.org/explorer.php?ssid=4593 | ||
| 15k | Secondary, Primary | Compare and order measurements of length, mass and capacity read from scales. | drfrost.org/explorer.php?ssid=4594 | ||
| 16 | Secondary, Primary | Exam Practice: Describing time | drfrost.org/explorer.php?ssid=4165 | E16 | |
| 16a | Secondary, Primary | Understand sequencing of events. | drfrost.org/explorer.php?ssid=4595 | ||
| 16b | Secondary, Primary | Know and use days of the week. | drfrost.org/explorer.php?ssid=4596 | ||
| 16c | Secondary, Primary | Know and use months of the year. | drfrost.org/explorer.php?ssid=4597 | ||
| 16d | Secondary, Primary | Know and use basic equivalences of time. | drfrost.org/explorer.php?ssid=4598 | ||
| 17 | Secondary, Primary | Exam Practice: Understanding place value involving tens and ones | drfrost.org/explorer.php?ssid=4166 | E17 | |
| 17a | Secondary, Primary | Partition a number into tens and ones. | drfrost.org/explorer.php?ssid=4599 | ||
| 17b | Secondary, Primary | Describe the place value of a digit of a number up to 100. | drfrost.org/explorer.php?ssid=4600 | ||
| 17c | Secondary, Primary | Compare numbers up to 100 using inequalities. | drfrost.org/explorer.php?ssid=4601 | ||
| 17d | Secondary, Primary | Order whole numbers up to 100 which are units or multiples of ten. | drfrost.org/explorer.php?ssid=8468 | ||
| 17e | Secondary, Primary | Order any numbers up to 100. | drfrost.org/explorer.php?ssid=4602 | ||
| 18 | Secondary, Primary | Exam Practice: Number bonds for numbers up to 100 | drfrost.org/explorer.php?ssid=4167 | E18 | |
| 18a | Secondary, Primary | Use number bonds to 100 using multiples of 10 only. | drfrost.org/explorer.php?ssid=4603 | ||
| 18b | Secondary, Primary | Use number bonds to 100 from any number. | drfrost.org/explorer.php?ssid=4604 | ||
| 18c | Secondary, Primary | Use number bonds to numbers between 10 and 100, given a multiple of 10. | drfrost.org/explorer.php?ssid=4605 | ||
| 18d | Secondary, Primary | Use number bonds to numbers between 10 and 100, given any number. | drfrost.org/explorer.php?ssid=4606 | ||
| 19 | Secondary, Primary | Exam Practice: Adding numbers up to 2 digits with answers up to 100 | drfrost.org/explorer.php?ssid=4168 | E19 | |
| 19a | Secondary, Primary | Add numbers up to 100 using pictorial representations. | drfrost.org/explorer.php?ssid=4607 | ||
| 19b | Secondary, Primary | Add single-digit and double-digit numbers to give an answer up to 100 using mental methods. | drfrost.org/explorer.php?ssid=4608 | ||
| 19c | Secondary, Primary | Add double-digit numbers to give an answer up to 100 using mental methods. | drfrost.org/explorer.php?ssid=4609 | ||
| 19d | Secondary, Primary | Solve missing number addition problems with numbers up to 100. | drfrost.org/explorer.php?ssid=4610 | ||
| 19e | Secondary, Primary | Solve worded problems requiring addition of numbers to 100. | drfrost.org/explorer.php?ssid=4611 | ||
| 20 | Secondary, Primary | Exam Practice: Subtracting numbers up to 2 digits | drfrost.org/explorer.php?ssid=4169 | E20 | |
| 20a | Secondary, Primary | Subtract numbers up to 100 using pictorial representations. | drfrost.org/explorer.php?ssid=4612 | ||
| 20b | Secondary, Primary | Subtract single-digit and double-digit numbers to give an answer up to 100 using mental methods. | drfrost.org/explorer.php?ssid=4613 | ||
| 20c | Secondary, Primary | Subtract double-digit numbers to give an answer up to 100 using mental methods. | drfrost.org/explorer.php?ssid=4614 | ||
| 20d | Secondary, Primary | Solve missing number subtraction problems with numbers up to 100. | drfrost.org/explorer.php?ssid=4615 | ||
| 20e | Secondary, Primary | Solve worded problems requiring subtraction of numbers to 100. | drfrost.org/explorer.php?ssid=4616 | ||
| 21 | Secondary, Primary | Exam Practice: Properties of addition and subtraction | drfrost.org/explorer.php?ssid=4170 | E21 | |
| 21a | Secondary, Primary | Fact families with addition and subtraction. | drfrost.org/explorer.php?ssid=1721 | ||
| 21b | Secondary, Primary | Understand addition and subtraction as inverses. | drfrost.org/explorer.php?ssid=4617 | ||
| 21c | Secondary, Primary | Understand that addition is commutative and subtraction is not. | drfrost.org/explorer.php?ssid=4618 | ||
| 21d | Secondary, Primary | Use commutativity and partitioning to complete mental addition and subtraction problems to 100. | drfrost.org/explorer.php?ssid=4619 | ||
| 22 | Secondary, Primary | Exam Practice: Make up monetary values with coins and notes, with no decimal notation (GBP/Euro/Dollars) | drfrost.org/explorer.php?ssid=549 | E22 | |
| 22a | Secondary, Primary | Use coins and notes to make up values in British pounds. | drfrost.org/explorer.php?ssid=4620 | ||
| 22b | Secondary, Primary | Use coins and notes to make up values in British pence. | drfrost.org/explorer.php?ssid=4621 | ||
| 22c | Secondary, Primary | Use coins and notes to make up values in Euros. | drfrost.org/explorer.php?ssid=4622 | ||
| 22d | Secondary, Primary | Use coins and notes to make up values in cents (Euros). | drfrost.org/explorer.php?ssid=4623 | ||
| 22e | Secondary, Primary | Use coins and notes to make up values in US Dollars. | drfrost.org/explorer.php?ssid=4624 | ||
| 22f | Secondary, Primary | Use coins and notes to make up values in cents (US). | drfrost.org/explorer.php?ssid=4625 | ||
| 23 | Secondary, Primary | Exam Practice: Multiplication and division notation | drfrost.org/explorer.php?ssid=4171 | E23 | |
| 23a | Secondary, Primary | Write a multiplication from a given array. | drfrost.org/explorer.php?ssid=4626 | ||
| 23b | Secondary, Primary | Write a division from a given array. | drfrost.org/explorer.php?ssid=4627 | ||
| 24 | Secondary, Primary | Exam Practice: The 2, 5 and 10 times tables | drfrost.org/explorer.php?ssid=4172 | E24 | |
| 24a | Secondary, Primary | Know the 2 times table. | drfrost.org/explorer.php?ssid=4628 | ||
| 24b | Secondary, Primary | Know the 5 times table. | drfrost.org/explorer.php?ssid=4629 | ||
| 24c | Secondary, Primary | Know the 10 times table. | drfrost.org/explorer.php?ssid=4630 | ||
| 25 | Secondary, Primary | Exam Practice: Introduction to 2D shapes | drfrost.org/explorer.php?ssid=4173 | E25 | |
| 25a | Secondary, Primary | Identify rectangles, squares, triangles and circles. | drfrost.org/explorer.php?ssid=4631 | ||
| 25b | Secondary, Primary | Know the names of polygons. | drfrost.org/explorer.php?ssid=992 | https://www.youtube-nocookie.com/embed/PKPLJA3SlG0 | K93 |
| 25c | Secondary, Primary | Classify and count a set of shapes according to their names or properties. | drfrost.org/explorer.php?ssid=8524 | ||
| 25d | Secondary, Primary | Identify vertical and horizontal lines of symmetry. | drfrost.org/explorer.php?ssid=4632 | ||
| 25e | Secondary, Primary | Compose simple shapes to form larger shapes. | drfrost.org/explorer.php?ssid=4633 | ||
| 26 | Secondary, Primary | Exam Practice: Recognising and using halves, quarters and thirds | drfrost.org/explorer.php?ssid=4174 | E26 | |
| 26a | Secondary, Primary | Identify a half, a quarter and a third from bar models. | drfrost.org/explorer.php?ssid=4634 | ||
| 26b | Secondary, Primary | Identify a half of a shape or set of objects. | drfrost.org/explorer.php?ssid=4635 | ||
| 26c | Secondary, Primary | Identify a quarter of a shape or set of objects. | drfrost.org/explorer.php?ssid=4636 | ||
| 26d | Secondary, Primary | Identify a third of a shape or set of objects. | drfrost.org/explorer.php?ssid=4637 | ||
| 26e | Secondary, Primary | Identify \frac{2}{4}, \frac{3}{4} and \frac{2}{3} from bar models. | drfrost.org/explorer.php?ssid=8875 | ||
| 26f | Secondary, Primary | Identify \frac{2}{4}, \frac{3}{4} and \frac{2}{3} of a shape or set of objects. | drfrost.org/explorer.php?ssid=8876 | ||
| 26g | Secondary, Primary | Count in steps of half, quarter or third. | drfrost.org/explorer.php?ssid=4638 | ||
| 26h | Secondary, Primary | Read a half, quarter or third off a number line. | drfrost.org/explorer.php?ssid=4639 | ||
| 26i | Secondary, Primary | Place a half, quarter or third on a number line. | drfrost.org/explorer.php?ssid=4640 | ||
| 27 | Secondary, Primary | Exam Practice: Reading values from a table of discrete or categorical data | drfrost.org/explorer.php?ssid=408 | E27 | |
| 27a | Secondary, Primary | Read a frequency from a frequency table. | drfrost.org/explorer.php?ssid=2343 | ||
| 27b | Secondary, Primary | Read a single value from a table of discrete or categorical data. | drfrost.org/explorer.php?ssid=8525 | ||
| 27c | Secondary, Primary | Determine the items in a table within an associated category or description. | drfrost.org/explorer.php?ssid=8469 | ||
| 27d | Secondary, Primary | Determine the item in a table with the lowest or highest frequency. | drfrost.org/explorer.php?ssid=4641 | ||
| 27e | Secondary, Primary | Determine the item in a table with the lowest or highest associated numerical value. | drfrost.org/explorer.php?ssid=8526 | ||
| 27f | Secondary, Primary | Determine the number of items with a frequency in a given range. | drfrost.org/explorer.php?ssid=8527 | ||
| 27g | Secondary, Primary | Determine the items or number of items in a table with an associated numerical value in a range. | drfrost.org/explorer.php?ssid=8470 | ||
| 27h | Secondary, Primary | Compare items in a table using an associated frequency. | drfrost.org/explorer.php?ssid=8528 | ||
| 27i | Secondary, Primary | Compare items in a table using an associated numerical value. | drfrost.org/explorer.php?ssid=8471 | ||
| 27j | Secondary, Primary | Calculate the total from a frequency table. | drfrost.org/explorer.php?ssid=4642 | ||
| 27k | Secondary, Primary | Calculate a total from a table of data. | drfrost.org/explorer.php?ssid=8529 | ||
| 27l | Secondary, Primary | Calculate a difference from a frequency table. | drfrost.org/explorer.php?ssid=4643 | ||
| 27m | Secondary, Primary | Calculate a difference from a table of data. | drfrost.org/explorer.php?ssid=8530 | ||
| 27n | Secondary, Primary | Calculate a missing value from a frequency table. | drfrost.org/explorer.php?ssid=4644 | ||
| 28 | Secondary, Primary | Exam Practice: Tally charts (discrete and categorical data) | drfrost.org/explorer.php?ssid=4175 | E28 | |
| 28a | Secondary, Primary | Interpret a discrete or categorical tally chart to give a frequency table. | drfrost.org/explorer.php?ssid=989 | https://www.youtube-nocookie.com/embed/y-7f6Jnz14g | K80 |
| 28b | Secondary, Primary | Complete a discrete or categorical tally chart from given data, including frequencies. | drfrost.org/explorer.php?ssid=4645 | ||
| 28c | Secondary, Primary | Interpret a grouped tally chart to give a frequency table. | drfrost.org/explorer.php?ssid=4646 | ||
| 28d | Secondary, Primary | Complete a grouped tally chart from given data, including frequencies. | drfrost.org/explorer.php?ssid=4647 | ||
| 29 | Secondary, Primary | Exam Practice: Block diagrams | drfrost.org/explorer.php?ssid=4176 | E29 | |
| 29a | Secondary, Primary | Read a frequency from a block diagram. | drfrost.org/explorer.php?ssid=4648 | ||
| 29b | Secondary, Primary | Complete a block diagram. | drfrost.org/explorer.php?ssid=4649 | ||
| 29c | Secondary, Primary | Determine the value with the lowest or highest frequency in a block diagram. | drfrost.org/explorer.php?ssid=4650 | ||
| 29d | Secondary, Primary | Calculate the total frequency from a block diagram. | drfrost.org/explorer.php?ssid=4651 | ||
| 29e | Secondary, Primary | Calculate a difference from a block diagram. | drfrost.org/explorer.php?ssid=4652 | ||
| 30 | Secondary, Primary | Exam Practice: Line and dot plots | drfrost.org/explorer.php?ssid=4177 | E30 | |
| 30a | Secondary, Primary | Read a frequency from a line or dot plot. | drfrost.org/explorer.php?ssid=4653 | ||
| 30b | Secondary, Primary | Complete a line or dot plot. | drfrost.org/explorer.php?ssid=4654 | ||
| 30c | Secondary, Primary | Determine the value with the lowest or highest frequency in a line or dot plot. | drfrost.org/explorer.php?ssid=4655 | ||
| 30d | Secondary, Primary | Calculate the total frequency from a line or dot plot. | drfrost.org/explorer.php?ssid=4656 | ||
| 30e | Secondary, Primary | Calculate a difference from a line or dot plot. | drfrost.org/explorer.php?ssid=4657 | ||
| 31 | Secondary, Primary | Exam Practice: Pictograms | drfrost.org/explorer.php?ssid=409 | https://www.youtube-nocookie.com/embed/DL80AEcRgL0 | E31 |
| 31a | Secondary, Primary | Read a frequency from a pictogram. | drfrost.org/explorer.php?ssid=990 | https://www.youtube-nocookie.com/embed/iqRNSCfZIzs | K81 |
| 31b | Primary, Secondary | Determine the value with the lowest or highest frequency in a pictogram. | drfrost.org/explorer.php?ssid=2227 | ||
| 31c | Secondary, Primary | Complete a pictogram from a given frequency and key. | drfrost.org/explorer.php?ssid=2228 | ||
| 31d | Secondary, Primary | Calculate the total frequency from a pictogram. | drfrost.org/explorer.php?ssid=2273 | ||
| 31e | Secondary, Primary | Complete a pictogram from a given total and key. | drfrost.org/explorer.php?ssid=2308 | ||
| 31f | Secondary, Primary | Calculate a difference from a pictogram. | drfrost.org/explorer.php?ssid=2274 | ||
| 31g | Secondary, Primary | Determine the key for a pictogram given a frequency, difference or total. | drfrost.org/explorer.php?ssid=2283 | ||
| 31h | Secondary, Primary | Complete a pictogram where the key must first be determined given a frequency or difference. | drfrost.org/explorer.php?ssid=2309 | ||
| 32 | Secondary, Primary | Exam Practice: Introduction to 3D shapes | drfrost.org/explorer.php?ssid=4178 | E32 | |
| 32a | Secondary, Primary | Recognise cubes, cuboids, pyramids, spheres, and cones. | drfrost.org/explorer.php?ssid=4658 | ||
| 32b | Secondary, Primary | Count the number of faces, edges or vertices of cubes, cuboids, pyramids, spheres, and cones. | drfrost.org/explorer.php?ssid=4659 | ||
| 33 | Secondary, Primary | Exam Practice: Tell the time using an analogue clock | drfrost.org/explorer.php?ssid=420 | E33 | |
| 33a | Secondary, Primary | Determine times at o'clock and half past from an analogue clock. | drfrost.org/explorer.php?ssid=4660 | ||
| 33b | Secondary, Primary | Determine times at 15 minute intervals using an analogue clock. | drfrost.org/explorer.php?ssid=4661 | ||
| 33c | Secondary, Primary | Determine times at 5 minute intervals using an analogue clock. | drfrost.org/explorer.php?ssid=2329 | ||
| 33d | Secondary, Primary | Tell the time from an analogue clock to the nearest minute. | drfrost.org/explorer.php?ssid=1269 | https://www.youtube-nocookie.com/embed/0aMOl_75FFc | K68 |
| 33e | Secondary, Primary | Determine the difference between two times on an analogue clock. | drfrost.org/explorer.php?ssid=4662 | ||
| 34 | Secondary, Primary | Exam Practice: Numbers above 100 | drfrost.org/explorer.php?ssid=403 | https://www.youtube-nocookie.com/embed/SJGN3lGo_q8 | E34 |
| 34a | Secondary, Primary | Read numbers up to 200 in words and writing in numerals. | drfrost.org/explorer.php?ssid=4663 | ||
| 34b | Secondary, Primary | Read numbers up to 200 in numerals and writing in words. | drfrost.org/explorer.php?ssid=4664 | ||
| 34c | Secondary, Primary | Count with numbers up to 200. | drfrost.org/explorer.php?ssid=4665 | ||
| 34d | Secondary, Primary | Use number bonds within 200. | drfrost.org/explorer.php?ssid=8686 | ||
| 34e | Secondary, Primary | Use number bonds to 200. | drfrost.org/explorer.php?ssid=4666 | ||
| 34f | Secondary, Primary | Estimate the value indicated on a number line (up to 200). | drfrost.org/explorer.php?ssid=4667 | ||
| 34g | Secondary, Primary | Read numbers up to 1000 in words and writing in numerals. | drfrost.org/explorer.php?ssid=1300 | https://www.youtube-nocookie.com/embed/hVgSppOl2ck | K3 |
| 34h | Secondary, Primary | Read numbers up to 1000 in numerals and writing in words. | drfrost.org/explorer.php?ssid=1301 | https://www.youtube-nocookie.com/embed/HdReM16hRrU | K4 |
| 34i | Secondary, Primary | Count with numbers up to 1000. | drfrost.org/explorer.php?ssid=4668 | ||
| 34j | Secondary, Primary | Use number bonds within and to 1000. | drfrost.org/explorer.php?ssid=4669 | ||
| 34k | Secondary, Primary | Estimate the value indicated on a number line (up to 1000). | drfrost.org/explorer.php?ssid=4670 | ||
| 34l | Secondary, Primary | Read numbers up to 1 million in words and writing in numerals. | drfrost.org/explorer.php?ssid=1431 | https://www.youtube-nocookie.com/embed/WZ2X8isB_Kk | K5 |
| 34m | Secondary, Primary | Read numbers up to 1 million in numerals and writing in words. | drfrost.org/explorer.php?ssid=1432 | https://www.youtube-nocookie.com/embed/u68x7XFGJH0 | K6 |
| 34n | Secondary, Primary | Count with numbers up to 1 million. | drfrost.org/explorer.php?ssid=4671 | ||
| 34o | Secondary, Primary | Use number bonds within and to 1 million. | drfrost.org/explorer.php?ssid=4672 | ||
| 34p | Secondary, Primary | Estimate the value indicated on a number line (up to 1 million). | drfrost.org/explorer.php?ssid=4673 | ||
| 34q | Secondary, Primary | Read numbers over 1 million in words and writing in numerals. | drfrost.org/explorer.php?ssid=4674 | ||
| 34r | Secondary, Primary | Read numbers over 1 million in numerals and writing in words. | drfrost.org/explorer.php?ssid=4675 | ||
| 34s | Secondary, Primary | Count with numbers over 1 million. | drfrost.org/explorer.php?ssid=4676 | ||
| 35 | Secondary, Primary | Exam Practice: Place value above the 100s digit | drfrost.org/explorer.php?ssid=4179 | E35 | |
| 35a | Secondary, Primary | Partition a number up to 200 into ones, tens and hundreds. | drfrost.org/explorer.php?ssid=4677 | ||
| 35b | Secondary, Primary | Describe the place value of a digit of a number up to 200. | drfrost.org/explorer.php?ssid=4678 | ||
| 35c | Secondary, Primary | Increase and decrease numbers up to 200 by 1 or 10. | drfrost.org/explorer.php?ssid=4679 | ||
| 35d | Secondary, Primary | Partition a number up to 1000 into ones, tens and hundreds. | drfrost.org/explorer.php?ssid=1633 | ||
| 35e | Secondary, Primary | Describe the place value of a digit of a number up to 1000. | drfrost.org/explorer.php?ssid=4680 | ||
| 35f | Secondary, Primary | Increase and decrease numbers up to 1000 by 1, 10 or 100. | drfrost.org/explorer.php?ssid=4681 | ||
| 35g | Secondary, Primary | Partition a number up to 1 million into powers of 10. | drfrost.org/explorer.php?ssid=4682 | ||
| 35h | Secondary, Primary | Describe the place value of a digit of a number up to 1 million. | drfrost.org/explorer.php?ssid=4683 | ||
| 35i | Secondary, Primary | Increase and decrease numbers up to 1 million by powers of 10. | drfrost.org/explorer.php?ssid=4684 | ||
| 35j | Secondary, Primary | Partition a number over 1 million into powers of 10. | drfrost.org/explorer.php?ssid=4685 | ||
| 35k | Secondary, Primary | Describe the place value of a digit of a number over 1 million. | drfrost.org/explorer.php?ssid=4686 | ||
| 35l | Secondary, Primary | Increase and decrease numbers over 1 million by powers of 10. | drfrost.org/explorer.php?ssid=4687 | ||
| 35m | Secondary, Primary | Arrange digits to create a number fitting a certain criteria. | drfrost.org/explorer.php?ssid=8328 | ||
| 36 | Secondary, Primary | Exam Practice: Comparing and ordering positive numbers above 100 | drfrost.org/explorer.php?ssid=4180 | E36 | |
| 36a | Secondary, Primary | Compare numbers up to 200 using inequalities. | drfrost.org/explorer.php?ssid=4688 | ||
| 36b | Secondary, Primary | Order numbers up to 200. | drfrost.org/explorer.php?ssid=4689 | ||
| 36c | Secondary, Primary | Compare numbers up to 1000 using inequalities. | drfrost.org/explorer.php?ssid=4690 | ||
| 36d | Secondary, Primary | Order numbers up to 1000 which are units, multiples of 10 or multiples of 100. | drfrost.org/explorer.php?ssid=8472 | ||
| 36e | Secondary, Primary | Order any numbers up to 1000. | drfrost.org/explorer.php?ssid=590 | https://www.youtube-nocookie.com/embed/FuZNqFdE_AI | K1 |
| 36f | Secondary, Primary | Compare numbers up to 1 million using inequalities. | drfrost.org/explorer.php?ssid=4691 | ||
| 36g | Secondary, Primary | Order numbers up to 1 million. | drfrost.org/explorer.php?ssid=4692 | ||
| 36h | Secondary, Primary | Compare numbers over 1 million using inequalities. | drfrost.org/explorer.php?ssid=4693 | ||
| 36i | Secondary, Primary | Order numbers over 1 million. | drfrost.org/explorer.php?ssid=4694 | ||
| 37 | Secondary, Primary | Exam Practice: Rounding a number to nearest 10, 100, 1000 and beyond | drfrost.org/explorer.php?ssid=41 | https://www.youtube-nocookie.com/embed/aqyat9LEjWY | E37 |
| 37a | Secondary, Primary | Round a number to the nearest ten. | drfrost.org/explorer.php?ssid=4695 | ||
| 37b | Secondary, Primary | Round a number to the nearest hundred. | drfrost.org/explorer.php?ssid=4696 | ||
| 37c | Secondary, Primary | Round a number to the nearest thousand. | drfrost.org/explorer.php?ssid=4697 | ||
| 37d | Secondary, Primary | Round a number to a given place value beyond thousands. | drfrost.org/explorer.php?ssid=4698 | ||
| 38 | Primary | Exam Practice: Further counting by skipping | drfrost.org/explorer.php?ssid=4181 | E38 | |
| 38a | Primary | Count by skipping in 4s and 8s starting from 0. | drfrost.org/explorer.php?ssid=4699 | ||
| 38b | Primary | Count by skipping in 6s, 7s and 9s starting from 0. | drfrost.org/explorer.php?ssid=4700 | ||
| 38c | Primary | Count by skipping in 100s starting from 0. | drfrost.org/explorer.php?ssid=4701 | ||
| 38d | Primary | Count by skipping in 50s starting from 0. | drfrost.org/explorer.php?ssid=4702 | ||
| 38e | Primary | Count by skipping in thousands and other powers of 10 starting from 0. | drfrost.org/explorer.php?ssid=4703 | ||
| 38f | Primary | Count by skipping in 4s and 8s starting anywhere. | drfrost.org/explorer.php?ssid=4704 | ||
| 38g | Primary | Count by skipping in 6s, 7s and 9s starting anywhere. | drfrost.org/explorer.php?ssid=4705 | ||
| 38h | Primary | Count by skipping in 100s starting anywhere. | drfrost.org/explorer.php?ssid=4706 | ||
| 38i | Primary | Count by skipping in 50s starting anywhere. | drfrost.org/explorer.php?ssid=4707 | ||
| 38j | Primary | Count by skipping in thousands and other powers of 10 starting anywhere. | drfrost.org/explorer.php?ssid=4708 | ||
| 39 | Secondary, Primary | Exam Practice: Mental addition and subtraction strategies | drfrost.org/explorer.php?ssid=4182 | E39 | |
| 39a | Secondary, Primary | Solve single-step addition problems using part-whole models. | drfrost.org/explorer.php?ssid=1634 | ||
| 39b | Secondary, Primary | Solve single-step subtraction problems using part-whole models. | drfrost.org/explorer.php?ssid=8310 | ||
| 39c | Secondary, Primary | Solve multi-step addition problems using part-whole models. | drfrost.org/explorer.php?ssid=4709 | ||
| 39d | Secondary, Primary | Use flexible partitioning. | drfrost.org/explorer.php?ssid=4710 | ||
| 39e | Secondary, Primary | Solve multi-step addition problems using partitioning, number bonds and commutativity. | drfrost.org/explorer.php?ssid=4711 | ||
| 39f | Secondary, Primary | Solve multi-step subtraction problems using part-whole models. | drfrost.org/explorer.php?ssid=4712 | ||
| 39g | Secondary, Primary | Solve multi-step subtraction problems using partitioning and number bonds. | drfrost.org/explorer.php?ssid=4713 | ||
| 39h | Secondary, Primary | Solve multi-step addition and subtraction problems using part-whole models. | drfrost.org/explorer.php?ssid=4714 | ||
| 39i | Secondary, Primary | Solve multi-step addition and subtraction problems using partitioning and number bonds. | drfrost.org/explorer.php?ssid=4715 | ||
| 40 | Secondary, Primary | Exam Practice: Column addition | drfrost.org/explorer.php?ssid=376 | https://www.youtube-nocookie.com/embed/RIotd3KnZ2Q | E40 |
| 40a | Secondary, Primary | Add integers up to 2 digit + 2 digit with a written method. | drfrost.org/explorer.php?ssid=4716 | ||
| 40b | Secondary, Primary | Add integers up to 3 digit + 3 digit with a written method. | drfrost.org/explorer.php?ssid=755 | https://www.youtube-nocookie.com/embed/dcCGLSW1jl8 | K8 |
| 40c | Secondary, Primary | Add integers up to 4 digit + 4 digit with a written method. | drfrost.org/explorer.php?ssid=4717 | ||
| 40d | Secondary, Primary | Add integers up to 5 digit + 5 digit with a written method. | drfrost.org/explorer.php?ssid=1612 | ||
| 40e | Secondary, Primary | Add up to 4 integers using a written method. | drfrost.org/explorer.php?ssid=4718 | ||
| 40f | Secondary, Primary | Write and complete a column addition from a worded problem. | drfrost.org/explorer.php?ssid=4719 | ||
| 40g | Secondary, Primary | Solve missing number addition problems with numbers of up to 5 digits. | drfrost.org/explorer.php?ssid=8376 | ||
| 40h | Secondary, Primary | Find missing digits in a column addition. | drfrost.org/explorer.php?ssid=1640 | ||
| 41 | Secondary, Primary | Exam Practice: Column subtraction | drfrost.org/explorer.php?ssid=4183 | E41 | |
| 41a | Secondary, Primary | Subtract integers up to 2 digit - 2 digit with a written method. | drfrost.org/explorer.php?ssid=4720 | ||
| 41b | Secondary, Primary | Subtract integers up to 2 digit - 2 digit with a written method with exchanging. | drfrost.org/explorer.php?ssid=4721 | ||
| 41c | Secondary, Primary | Subtract integers up to 3 digit - 3 digit with a written method. | drfrost.org/explorer.php?ssid=756 | https://www.youtube-nocookie.com/embed/LBTpkrjP8WM | K9 |
| 41d | Secondary, Primary | Subtract integers up to 3 digit - 3 digit with a written method with exchanging. | drfrost.org/explorer.php?ssid=757 | https://www.youtube-nocookie.com/embed/AguzNffgyBA | K10 |
| 41e | Secondary, Primary | Subtract integers up to 4 digit - 4 digit with a written method. | drfrost.org/explorer.php?ssid=4722 | ||
| 41f | Secondary, Primary | Subtract integers up to 5 digit - 5 digit with a written method. | drfrost.org/explorer.php?ssid=1613 | ||
| 41g | Secondary, Primary | Write and complete a column subtraction from a worded problem. | drfrost.org/explorer.php?ssid=4723 | ||
| 41h | Secondary, Primary | Solve missing number subtraction problems with numbers of up to 5 digits. | drfrost.org/explorer.php?ssid=8377 | ||
| 41i | Secondary, Primary | Find missing digits in a column subtraction. | drfrost.org/explorer.php?ssid=4724 | ||
| 42 | Secondary, Primary | Exam Practice: Times tables up to 12 \times 12 | drfrost.org/explorer.php?ssid=4184 | E42 | |
| 42a | Secondary, Primary | Know the 3 times table. | drfrost.org/explorer.php?ssid=4725 | ||
| 42b | Secondary, Primary | Know the 4 times table. | drfrost.org/explorer.php?ssid=4726 | ||
| 42c | Secondary, Primary | Know the 8 times table. | drfrost.org/explorer.php?ssid=4727 | ||
| 42d | Secondary, Primary | Know all times tables up to 12\times12 | drfrost.org/explorer.php?ssid=4728 | ||
| 43 | Secondary, Primary | Exam Practice: Properties of multiplication and division | drfrost.org/explorer.php?ssid=4185 | E43 | |
| 43a | Secondary, Primary | Fact families with multiplication and division | drfrost.org/explorer.php?ssid=1723 | ||
| 43b | Secondary, Primary | Understand multiplication and division as inverses. | drfrost.org/explorer.php?ssid=4729 | ||
| 43c | Secondary, Primary | Understand halving and doubling as inverses. | drfrost.org/explorer.php?ssid=8498 | ||
| 43d | Secondary, Primary | Understand that multiplication is commutative and division is not. | drfrost.org/explorer.php?ssid=4730 | ||
| 43e | Secondary, Primary | Work out the result of a related multiplication using addition or subtraction. | drfrost.org/explorer.php?ssid=1718 | ||
| 43f | Secondary, Primary | Work out the result of a related division using addition or subtraction. | drfrost.org/explorer.php?ssid=8331 | ||
| 43g | Secondary, Primary | Determine a missing number in a multiplication or division problem. | drfrost.org/explorer.php?ssid=4732 | ||
| 44 | Secondary, Primary | Exam Practice: Multiplying numbers by 1 or 0 and divide by 1 | drfrost.org/explorer.php?ssid=4186 | E44 | |
| 44a | Secondary, Primary | Multiplication and division by 1 (the multiplicative identity). | drfrost.org/explorer.php?ssid=4733 | ||
| 44b | Secondary, Primary | Multiplication by 0. | drfrost.org/explorer.php?ssid=4734 | ||
| 45 | Secondary, Primary | Exam Practice: Multiplying and dividing by 10, 100, 1000 etc, excluding decimals | drfrost.org/explorer.php?ssid=404 | https://www.youtube-nocookie.com/embed/DhndjuSKwKQ | E45 |
| 45a | Secondary, Primary | Multiply integers by 10. | drfrost.org/explorer.php?ssid=626 | https://www.youtube-nocookie.com/embed/9Fk7E62mYIA | K11 |
| 45b | Secondary, Primary | Multiply integers by 100 or 1000. | drfrost.org/explorer.php?ssid=4735 | ||
| 45c | Secondary, Primary | Divide integers by 10. | drfrost.org/explorer.php?ssid=627 | https://www.youtube-nocookie.com/embed/T4956zM6ZZ4 | K15 |
| 45d | Secondary, Primary | Divide integers by 100 or 1000. | drfrost.org/explorer.php?ssid=4736 | ||
| 45e | Secondary, Primary | Multiply and divide integers by powers of 10, greater than 1000. | drfrost.org/explorer.php?ssid=4737 | ||
| 45f | Secondary, Primary | Multiply integers by multiples of 10, 100 and 1000. | drfrost.org/explorer.php?ssid=4738 | ||
| 45g | Secondary, Primary | Divide integers by multiples of 10, 100 and 1000. | drfrost.org/explorer.php?ssid=8879 | ||
| 46 | Secondary, Primary | Exam Practice: The Commutative and Associative Laws | drfrost.org/explorer.php?ssid=550 | E46 | |
| 46a | Secondary, Primary | Understand the commutative law for addition. | drfrost.org/explorer.php?ssid=4739 | ||
| 46b | Secondary, Primary | Understand the commutative law for multiplication. | drfrost.org/explorer.php?ssid=4740 | ||
| 46c | Secondary, Primary | Understand the associative law for addition. | drfrost.org/explorer.php?ssid=4741 | ||
| 46d | Secondary, Primary | Understand the associative law for multiplication. | drfrost.org/explorer.php?ssid=4742 | ||
| 46e | Secondary, Primary | Determine associativity or commutativity in a calculation. | drfrost.org/explorer.php?ssid=2062 | ||
| 46f | Secondary, Primary | Add or subtract three numbers efficiently using commutativity. | drfrost.org/explorer.php?ssid=2059 | ||
| 46g | Secondary, Primary | Multiply three numbers efficiently using commutativity. | drfrost.org/explorer.php?ssid=2058 | ||
| 46h | Secondary, Primary | Add numbers efficiently using associativity. | drfrost.org/explorer.php?ssid=8779 | ||
| 46i | Secondary, Primary | Multiply numbers efficiently using associativity. | drfrost.org/explorer.php?ssid=4731 | ||
| 47 | Secondary, Primary | Exam Practice: The Distributive Law and the area model for multiplication | drfrost.org/explorer.php?ssid=4187 | E47 | |
| 47a | Secondary, Primary | Understand the Distributive Law. | drfrost.org/explorer.php?ssid=4743 | ||
| 47b | Secondary, Primary | Understand the area model for multiplication. | drfrost.org/explorer.php?ssid=4744 | ||
| 47c | Secondary, Primary | Use the distributive law to complete mental multiplication calculations. | drfrost.org/explorer.php?ssid=4745 | ||
| 48 | Secondary, Primary | Exam Practice: Related number facts with place value | drfrost.org/explorer.php?ssid=4188 | E48 | |
| 48a | Secondary, Primary | Work out an addition or subtraction calculation using a given fact and an understanding of place value. | drfrost.org/explorer.php?ssid=1691 | ||
| 48b | Secondary, Primary | Work out a multiplication using a given multiplication fact and knowledge of place value, where one number changes. | drfrost.org/explorer.php?ssid=4746 | ||
| 48c | Secondary, Primary | Work out a division using a given division fact and knowledge of place value, where one number changes. | drfrost.org/explorer.php?ssid=4747 | ||
| 48d | Secondary, Primary | Work out a division using a given multiplication fact and knowledge of place value, where one number changes. | drfrost.org/explorer.php?ssid=8693 | ||
| 48e | Secondary, Primary | Work out a multiplication using a given multiplication fact and knowledge of place value, where both numbers change. | drfrost.org/explorer.php?ssid=8694 | ||
| 48f | Secondary, Primary | Work out a division using a given division fact and knowledge of place value, where both numbers change. | drfrost.org/explorer.php?ssid=8695 | ||
| 48g | Secondary, Primary | Work out a division using a given multiplication fact and knowledge of place value, where both numbers change. | drfrost.org/explorer.php?ssid=8696 | ||
| 49 | Secondary, Primary | Exam Practice: Dividing a large number by a 1 digit number using partitioning | drfrost.org/explorer.php?ssid=553 | E49 | |
| 49a | Secondary, Primary | Divide a 2-digit number by a 1-digit number by partitioning using place value. | drfrost.org/explorer.php?ssid=4748 | ||
| 49b | Secondary, Primary | Divide a number with >3 digits by a 1-digit number by partitioning using place value. | drfrost.org/explorer.php?ssid=1636 | ||
| 49c | Secondary, Primary | Divide a 2-digit number by a 1-digit number by partitioning using flexible partitioning. | drfrost.org/explorer.php?ssid=4749 | ||
| 49d | Secondary, Primary | Divide a number with >3 digits by a 1-digit number by partitioning using flexible partitioning. | drfrost.org/explorer.php?ssid=4750 | ||
| 50 | Secondary, Primary | Exam Practice: Solving one-step and two-step arithmetic problems, including working with money in the same unit | drfrost.org/explorer.php?ssid=371 | E50 | |
| 50a | Secondary, Primary | Solve an arithmetic problem involving addition or subtraction of integers within the same unit, including money. | drfrost.org/explorer.php?ssid=1419 | K24 | |
| 50b | Secondary, Primary | Solve an arithmetic problem involving multiplication or division of integers within the same unit, including money. | drfrost.org/explorer.php?ssid=1440 | K25 | |
| 50c | Secondary, Primary | Solve an arithmetic problem involving two-steps of addition or subtraction of integers within the same unit, including money. | drfrost.org/explorer.php?ssid=4751 | ||
| 50d | Secondary, Primary | Solve an arithmetic problem involving two-steps of multiplication or division of integers within the same unit, including money. | drfrost.org/explorer.php?ssid=4752 | ||
| 50e | Secondary, Primary | Solve an arithmetic problem involving two-steps, one addition/subtraction and the other multiplication of integers within the same unit, including money. | drfrost.org/explorer.php?ssid=4753 | ||
| 50f | Secondary, Primary | Solve an arithmetic problem involving two-steps, one addition/subtraction and the other division of integers within the same unit, including money. | drfrost.org/explorer.php?ssid=4754 | ||
| 51 | Secondary, Primary | Exam Practice: Checking calculations | drfrost.org/explorer.php?ssid=4189 | E51 | |
| 51a | Secondary, Primary | Check addition and subtraction calculations using the inverse. | drfrost.org/explorer.php?ssid=4755 | ||
| 51b | Secondary, Primary | Check multiplication and division calculations using the inverse. | drfrost.org/explorer.php?ssid=4756 | ||
| 51c | Secondary, Primary | Check arithmetic calculations by estimation. | drfrost.org/explorer.php?ssid=4757 | ||
| 52 | Secondary, Primary | Exam Practice: Multiples of a number | drfrost.org/explorer.php?ssid=574 | E52 | |
| 52a | Secondary, Primary | Identify multiples of a number from 1 to 12. | drfrost.org/explorer.php?ssid=1684 | ||
| 52b | Secondary, Primary | Identify multiples of a number greater than 12. | drfrost.org/explorer.php?ssid=4758 | ||
| 52c | Secondary, Primary | Write the first 3 multiples of a number. | drfrost.org/explorer.php?ssid=604 | https://www.youtube-nocookie.com/embed/WEaKRZ4dkSI | K60 |
| 52d | Secondary, Primary | Write all the multiples of a number in a range. | drfrost.org/explorer.php?ssid=1702 | ||
| 53 | Secondary, Primary | Exam Practice: Factors of a number | drfrost.org/explorer.php?ssid=27 | https://www.youtube-nocookie.com/embed/vnetli2ToaE | E53 |
| 53a | Secondary, Primary | Identify a factor of a number. | drfrost.org/explorer.php?ssid=8320 | ||
| 53b | Secondary, Primary | Find factor pairs of a number. | drfrost.org/explorer.php?ssid=1665 | ||
| 53c | Secondary, Primary | List all factors of a number. | drfrost.org/explorer.php?ssid=603 | https://www.youtube-nocookie.com/embed/AoqVb96vCZM | K59 |
| 54 | Secondary, Primary | Exam Practice: Recognising and using fractions with denominators to 12 | drfrost.org/explorer.php?ssid=4190 | E54 | |
| 54a | Secondary, Primary | Identify fifths and tenths from bar models. | drfrost.org/explorer.php?ssid=4759 | ||
| 54b | Secondary, Primary | Identify fifths and tenths of a shape or set of objects. | drfrost.org/explorer.php?ssid=4760 | ||
| 54c | Secondary, Primary | Identify fractions with denominators up to 12 from bar models. | drfrost.org/explorer.php?ssid=4761 | ||
| 54d | Secondary, Primary | Identify fractions with denominators up to 12 of a shape or set of objects. | drfrost.org/explorer.php?ssid=4762 | ||
| 54e | Secondary, Primary | Recognise one whole as a fraction with the same numerator and denominator. | drfrost.org/explorer.php?ssid=4768 | ||
| 54f | Secondary, Primary | Recognise whole number as a fraction with denominator of one. | drfrost.org/explorer.php?ssid=4769 | ||
| 54g | Secondary, Primary | Write a whole number as a fraction with any denominator. | drfrost.org/explorer.php?ssid=4770 | ||
| 54h | Secondary, Primary | Count in steps of a unit fraction with denominator up to 12, within a whole. | drfrost.org/explorer.php?ssid=4763 | ||
| 54i | Secondary, Primary | Read unit fractions with a denominator up to 12 off a number line, within a whole. | drfrost.org/explorer.php?ssid=4765 | ||
| 54j | Secondary, Primary | Place unit fractions with a denominator up to 12 on a number line, within a whole. | drfrost.org/explorer.php?ssid=4766 | ||
| 54k | Secondary, Primary | Count in steps of a non-unit fraction with denominator up to 12, within a whole. | drfrost.org/explorer.php?ssid=4764 | ||
| 54l | Secondary, Primary | Read non-unit fractions with a denominator up to 12 off a number line, within a whole. | drfrost.org/explorer.php?ssid=4767 | ||
| 54m | Secondary, Primary | Place non-unit fractions with a denominator up to 12 on a number line, within a whole. | drfrost.org/explorer.php?ssid=4771 | ||
| 54n | Secondary, Primary | Read fractions with a denominator up to 12 off a number line, going beyond a whole. | drfrost.org/explorer.php?ssid=8890 | ||
| 54o | Secondary, Primary | Place fractions with a denominator up to 12 on a number line, going beyond a whole. | drfrost.org/explorer.php?ssid=8891 | ||
| 54p | Secondary, Primary | Count in steps of a fraction with denominator up to 12, going beyond a whole. | drfrost.org/explorer.php?ssid=8892 | ||
| 54q | Secondary, Primary | Read measures involving fractions off a scale. | drfrost.org/explorer.php?ssid=8893 | ||
| 54r | Secondary, Primary | Identify equivalent fractions using bar models and other diagrams. | drfrost.org/explorer.php?ssid=4772 | ||
| 54s | Secondary, Primary | Problem solve with fractions of shapes shaded. | drfrost.org/explorer.php?ssid=8597 | ||
| 55 | Secondary, Primary | Exam Practice: Comparing and ordering fractions where one part is the same | drfrost.org/explorer.php?ssid=4191 | E55 | |
| 55a | Secondary, Primary | Compare fractions with the same denominator using bar models and number lines. | drfrost.org/explorer.php?ssid=4773 | ||
| 55b | Secondary, Primary | Compare fractions with the same denominator. | drfrost.org/explorer.php?ssid=4774 | ||
| 55c | Secondary, Primary | Order fractions with the same denominator. | drfrost.org/explorer.php?ssid=4775 | ||
| 55d | Secondary, Primary | Compare unit fractions using bar models and number lines. | drfrost.org/explorer.php?ssid=4776 | ||
| 55e | Secondary, Primary | Order unit fractions using bar models and number lines. | drfrost.org/explorer.php?ssid=4777 | ||
| 55f | Secondary, Primary | Compare unit fractions. | drfrost.org/explorer.php?ssid=4778 | ||
| 55g | Secondary, Primary | Compare fractions with the same numerator using bar models and number lines. | drfrost.org/explorer.php?ssid=4779 | ||
| 55h | Secondary, Primary | Compare fractions with the same numerator. | drfrost.org/explorer.php?ssid=4780 | ||
| 55i | Secondary, Primary | Order fractions with the same numerator. | drfrost.org/explorer.php?ssid=4781 | ||
| 56 | Secondary, Primary | Exam Practice: Adding and subtracting fractions with the same denominator | drfrost.org/explorer.php?ssid=584 | E56 | |
| 56a | Secondary, Primary | Add proper fractions with the same denominator, within a whole. | drfrost.org/explorer.php?ssid=594 | https://www.youtube-nocookie.com/embed/jx0CO38kmio | K169 |
| 56b | Secondary, Primary | Add proper fractions with the same denominator, with total greater than a whole, expressing the answer as an improper fraction. | drfrost.org/explorer.php?ssid=4782 | ||
| 56c | Secondary, Primary | Add improper fractions with the same denominator, with total greater than a whole, expressing the answer as an improper fraction. | drfrost.org/explorer.php?ssid=4783 | ||
| 56d | Secondary, Primary | Subtract proper fractions with the same denominator, within a whole. | drfrost.org/explorer.php?ssid=4784 | ||
| 56e | Secondary, Primary | Subtract from improper fractions with the same denominator, expressing the answer as an improper fraction. | drfrost.org/explorer.php?ssid=4785 | ||
| 56f | Secondary, Primary | Subtract proper fractions from one. | drfrost.org/explorer.php?ssid=8351 | ||
| 57 | Secondary, Primary | Exam Practice: Fractions of an amount | drfrost.org/explorer.php?ssid=24 | https://www.youtube-nocookie.com/embed/Jc9P678qu1o | E57 |
| 57a | Secondary, Primary | Calculate a half, quarter or third of a given quantity. | drfrost.org/explorer.php?ssid=4786 | ||
| 57b | Secondary, Primary | Calculate two-thirds of a given quantity. | drfrost.org/explorer.php?ssid=4787 | ||
| 57c | Secondary, Primary | Calculate three-quarters of a given quantity. | drfrost.org/explorer.php?ssid=4788 | ||
| 57d | Secondary, Primary | Calculate a unit fraction of a given quantity (with denominator up to 12). | drfrost.org/explorer.php?ssid=1823 | https://www.youtube-nocookie.com/embed/sqU1HJMTye8 | |
| 57e | Secondary, Primary | Calculate a non-unit fraction of a given quantity (with denominator up to 12). | drfrost.org/explorer.php?ssid=597 | https://www.youtube-nocookie.com/embed/jm6qoetSKpU | K183 |
| 58 | Secondary, Primary | Exam Practice: Roman numerals | drfrost.org/explorer.php?ssid=569 | E58 | |
| 58a | Secondary, Primary | Read Roman numerals less than 10. | drfrost.org/explorer.php?ssid=1938 | ||
| 58b | Secondary, Primary | Read Roman numerals less than 100. | drfrost.org/explorer.php?ssid=1277 | https://www.youtube-nocookie.com/embed/x34ccSF7RBM | K226 |
| 58c | Secondary, Primary | Read Roman numerals less than 500. | drfrost.org/explorer.php?ssid=1454 | K227 | |
| 58d | Secondary, Primary | Read Roman numerals less than 5000. | drfrost.org/explorer.php?ssid=1739 | ||
| 58e | Secondary, Primary | Tell the time using an analogue clock with Roman Numeral markings. | drfrost.org/explorer.php?ssid=4789 | ||
| 59 | Secondary, Primary | Exam Practice: Time conversions | drfrost.org/explorer.php?ssid=380 | E59 | |
| 59a | Secondary, Primary | Convert from hours to minutes. | drfrost.org/explorer.php?ssid=8437 | ||
| 59b | Secondary, Primary | Convert from hours and minutes to minutes. | drfrost.org/explorer.php?ssid=1270 | https://www.youtube-nocookie.com/embed/cwfHn5btsk8 | K64 |
| 59c | Secondary, Primary | Convert from minutes to seconds. | drfrost.org/explorer.php?ssid=1271 | https://www.youtube-nocookie.com/embed/tp5J1XfTSTM | K65 |
| 59d | Secondary, Primary | Convert from weeks to days. | drfrost.org/explorer.php?ssid=1273 | https://www.youtube-nocookie.com/embed/K-ne4CFEGq8 | K67 |
| 59e | Secondary, Primary | Convert from years to months. | drfrost.org/explorer.php?ssid=1272 | https://www.youtube-nocookie.com/embed/kVsbAHh3TdY | K66 |
| 59f | Secondary, Primary | Convert from minutes to hours. | drfrost.org/explorer.php?ssid=8438 | ||
| 59g | Secondary, Primary | Convert from minutes to hours and minutes | drfrost.org/explorer.php?ssid=1581 | K758 | |
| 59h | Secondary, Primary | Convert from seconds to minutes and seconds. | drfrost.org/explorer.php?ssid=1582 | K759 | |
| 59i | Secondary, Primary | Convert from days to weeks. | drfrost.org/explorer.php?ssid=4790 | ||
| 59j | Secondary, Primary | Convert from months to years. | drfrost.org/explorer.php?ssid=4791 | ||
| 60 | Secondary, Primary | Exam Practice: Reading times on digital clocks | drfrost.org/explorer.php?ssid=421 | https://www.youtube-nocookie.com/embed/Uz8_xKutjW8 | E60 |
| 60a | Secondary, Primary | Write a time on a 12-hour digital clock for a time in hours or 15 minute intervals in words. | drfrost.org/explorer.php?ssid=8473 | ||
| 60b | Secondary, Primary | Write a time in words given a time in hours or 15 minute intervals on a 12-hour digital clock. | drfrost.org/explorer.php?ssid=8474 | ||
| 60c | Secondary, Primary | Write a time on a 12-hour digital clock for a time in 5 minute intervals in words. | drfrost.org/explorer.php?ssid=8475 | ||
| 60d | Secondary, Primary | Write a time in words given a time in 5 minute intervals on a 12-hour digital clock. | drfrost.org/explorer.php?ssid=8476 | ||
| 60e | Secondary, Primary | Write a time on a 24-hour digital clock for a time in 5 minute intervals. | drfrost.org/explorer.php?ssid=4795 | ||
| 60f | Secondary, Primary | Write a time in words given a time in 5 minute intervals on a 24-hour digital clock. | drfrost.org/explorer.php?ssid=8477 | ||
| 60g | Secondary, Primary | Convert from the 12-hour clock to the 24-hour clock. | drfrost.org/explorer.php?ssid=1275 | https://www.youtube-nocookie.com/embed/mnreww2pgNg | K69 |
| 60h | Secondary, Primary | Convert from the 24-hour clock to the 12-hour clock. | drfrost.org/explorer.php?ssid=4792 | ||
| 60i | Secondary, Primary | Convert from a 12-hour clock to an analogue clock. | drfrost.org/explorer.php?ssid=4793 | ||
| 60j | Secondary, Primary | Convert from a 24-hour clock to an analogue clock. | drfrost.org/explorer.php?ssid=4794 | ||
| 61 | Secondary, Primary | Exam Practice: Difference between two times or the end time after a time has elapsed | drfrost.org/explorer.php?ssid=145 | E61 | |
| 61a | Secondary, Primary | Calculate the difference between two times where the end time has a greater number of minutes. | drfrost.org/explorer.php?ssid=4796 | ||
| 61b | Secondary, Primary | Calculate the difference between any two times. | drfrost.org/explorer.php?ssid=1274 | https://www.youtube-nocookie.com/embed/n6aLbsLWbjw | K70 |
| 61c | Secondary, Primary | Calculate the new time after a period of time in hours and minutes has elapsed, without overflow into the next hour. | drfrost.org/explorer.php?ssid=4797 | ||
| 61d | Secondary, Primary | Calculate the new time after a period of time less than an hour has elapsed, with overflow into the next hour. | drfrost.org/explorer.php?ssid=4798 | ||
| 61e | Secondary, Primary | Calculate the new time after a period of time given in hours and minutes has elapsed, with overflow. | drfrost.org/explorer.php?ssid=1434 | K71 | |
| 61f | Secondary, Primary | Calculate the new time after a longer period of time has elapsed given in minutes. | drfrost.org/explorer.php?ssid=4799 | ||
| 61g | Secondary, Primary | Calculate the number of equal interval periods within a time that has elapsed. | drfrost.org/explorer.php?ssid=4800 | ||
| 62 | Secondary, Primary | Exam Practice: Identifying right-angles and relating to other angles and turns | drfrost.org/explorer.php?ssid=4192 | E62 | |
| 62a | Secondary, Primary | Identify full turns, half turns and quarter turns. | drfrost.org/explorer.php?ssid=4801 | ||
| 62b | Secondary, Primary | Recognise a right-angle and describe other turns in relation to it. | drfrost.org/explorer.php?ssid=4802 | ||
| 62c | Secondary, Primary | Compare and order angles up to two right angles by size. | drfrost.org/explorer.php?ssid=1279 | K100 | |
| 62d | Secondary, Primary | Compare and order angles up to a full turn by size. | drfrost.org/explorer.php?ssid=4803 | ||
| 63 | Secondary, Primary | Exam Practice: Identifying vertical, horizontal, parallel and perpendicular lines | drfrost.org/explorer.php?ssid=555 | E63 | |
| 63a | Secondary, Primary | Identify vertical and horizontal lines. | drfrost.org/explorer.php?ssid=4804 | ||
| 63b | Secondary, Primary | Identify pairs of perpendicular and parallel lines. | drfrost.org/explorer.php?ssid=1276 | https://www.youtube-nocookie.com/embed/WvY39WpbiSY | K303 |
| 63c | Secondary, Primary | Identify parallel lines in context. | drfrost.org/explorer.php?ssid=4805 | ||
| 63d | Secondary, Primary | Identify perpendicular lines in context. | drfrost.org/explorer.php?ssid=4806 | ||
| 64 | Secondary, Primary | Exam Practice: Measuring perimeter for 2D shapes | drfrost.org/explorer.php?ssid=4193 | E64 | |
| 64a | Secondary, Primary | Determine the perimeter of a rectangle by counting unit lengths. | drfrost.org/explorer.php?ssid=4807 | ||
| 64b | Secondary, Primary | Determine the perimeter of a more general rectilinear shape by counting unit lengths. | drfrost.org/explorer.php?ssid=1452 | K109 | |
| 65 | Secondary, Primary | Exam Practice: Bar charts | drfrost.org/explorer.php?ssid=336 | E65 | |
| 65a | Secondary, Primary | Identify a bar from a bar chart or vertical line chart. | drfrost.org/explorer.php?ssid=2288 | ||
| 65b | Secondary, Primary | Identify a frequency from a bar chart or vertical line chart. | drfrost.org/explorer.php?ssid=952 | https://www.youtube-nocookie.com/embed/x1u2bXAA0a4 | K83 |
| 65c | Secondary, Primary | Draw a bar chart or vertical line chart. | drfrost.org/explorer.php?ssid=835 | https://www.youtube-nocookie.com/embed/uXvwfpnRDrA | K82 |
| 65d | Secondary, Primary | Identify bars or lines with the highest or lowest frequency. | drfrost.org/explorer.php?ssid=4808 | ||
| 65e | Secondary, Primary | Identify bars or lines in a frequency range. | drfrost.org/explorer.php?ssid=4809 | ||
| 65f | Secondary, Primary | Identify the total frequency from a bar chart or vertical line chart. | drfrost.org/explorer.php?ssid=2289 | ||
| 65g | Secondary, Primary | Identify a difference from a bar chart or vertical line chart. | drfrost.org/explorer.php?ssid=4810 | ||
| 65h | Secondary, Primary | Use frequencies from a bar chart or vertical line chart where each bar or line represents a number of occurrences to calculate a total. | drfrost.org/explorer.php?ssid=2290 | ||
| 65i | Secondary, Primary | Draw a bar chart or vertical line chart from a given pictogram. | drfrost.org/explorer.php?ssid=4811 | ||
| 65j | Secondary, Primary | Make a simple calculation using a frequency from a bar chart or vertical line chart (integer calculations only). | drfrost.org/explorer.php?ssid=4812 | ||
| 65k | Secondary, Primary | Identify problems with a bar chart or vertical line chart. | drfrost.org/explorer.php?ssid=4813 | ||
| 65l | Secondary, Primary | Draw a bar chart for continuous, grouped data (no inequalities). | drfrost.org/explorer.php?ssid=4814 | ||
| 65m | Secondary, Primary | Interpret a bar chart for continuous, grouped data (no inequalities). | drfrost.org/explorer.php?ssid=4815 | ||
| 66 | Secondary, Primary | Exam Practice: Short column multiplication | drfrost.org/explorer.php?ssid=4194 | E66 | |
| 66a | Secondary, Primary | Multiply a 2-digit integer (>12) by a single-digit integer. | drfrost.org/explorer.php?ssid=4816 | ||
| 66b | Secondary, Primary | Multiply a 3-digit integer by a single-digit integer. | drfrost.org/explorer.php?ssid=4817 | ||
| 66c | Secondary, Primary | Multiply integers with 4 or more digits by a single-digit integer. | drfrost.org/explorer.php?ssid=622 | https://www.youtube-nocookie.com/embed/LAiBy51LT34 | K12 |
| 66d | Secondary, Primary | Determine missing digits in short multiplication calculations. | drfrost.org/explorer.php?ssid=4818 | ||
| 67 | Secondary, Primary | Exam Practice: Long column multiplication | drfrost.org/explorer.php?ssid=328 | https://www.youtube-nocookie.com/embed/tz1Ey-I28eQ | E67 |
| 67a | Secondary, Primary | Multiply a 2-digit integer by a 2-digit integer. | drfrost.org/explorer.php?ssid=1488 | https://www.youtube-nocookie.com/embed/w_vsu6zEhkk | K706 |
| 67b | Secondary, Primary | Multiply a 3-digit integer by a 2-digit integer. | drfrost.org/explorer.php?ssid=1383 | K13 | |
| 67c | Secondary, Primary | Multiply a 4-digit integer by a 2-digit integer. | drfrost.org/explorer.php?ssid=4819 | ||
| 67d | Secondary, Primary | Multiply integers with more than 4 digits by a 2-digit integer. | drfrost.org/explorer.php?ssid=4820 | ||
| 67e | Secondary, Primary | Multiply any integer by a 3-digit integer. | drfrost.org/explorer.php?ssid=623 | https://www.youtube-nocookie.com/embed/aI5nee12i-g | K14 |
| 67f | Secondary, Primary | Determine missing digits in long multiplication calculations. | drfrost.org/explorer.php?ssid=4821 | ||
| 68 | Secondary, Primary | Exam Practice: Recognising and using tenths, hundredths and thousandths | drfrost.org/explorer.php?ssid=4195 | E68 | |
| 68a | Secondary, Primary | Recognise tenths using pictorial representations. | drfrost.org/explorer.php?ssid=4822 | ||
| 68b | Secondary, Primary | Recognise hundredths using pictorial representations. | drfrost.org/explorer.php?ssid=4823 | ||
| 68c | Secondary, Primary | Convert between tenths and hundredths. | drfrost.org/explorer.php?ssid=4824 | ||
| 68d | Secondary, Primary | Recognise thousandths using pictorial representations. | drfrost.org/explorer.php?ssid=4825 | ||
| 68e | Secondary, Primary | Convert between thousandths, hundredths and tenths. | drfrost.org/explorer.php?ssid=4826 | ||
| 68f | Secondary, Primary | Partition a fraction into tenths, hundredths and thousandths. | drfrost.org/explorer.php?ssid=8702 | ||
| 68g | Secondary, Primary | Read tenths, hundredths and thousandths off a number line. | drfrost.org/explorer.php?ssid=4827 | ||
| 68h | Secondary, Primary | Place tenths, hundredths and thousandths on a number line. | drfrost.org/explorer.php?ssid=4828 | ||
| 69 | Secondary, Primary | Exam Practice: Place value of the tenths, hundredths and thousandths digits | drfrost.org/explorer.php?ssid=377 | https://www.youtube-nocookie.com/embed/PkIBZ60Oqjc | E69 |
| 69a | Secondary, Primary | Know the place value of digits in decimal numbers up to 3 decimal places. | drfrost.org/explorer.php?ssid=758 | https://www.youtube-nocookie.com/embed/oDKjiWQAkaY | K27 |
| 69b | Secondary, Primary | Recognise decimals of up to three digits on pictorial representations. | drfrost.org/explorer.php?ssid=4834 | ||
| 69c | Secondary, Primary | Convert from fractional to decimal forms of tenths. | drfrost.org/explorer.php?ssid=4829 | ||
| 69d | Secondary, Primary | Convert from fractional to decimal forms of hundredths. | drfrost.org/explorer.php?ssid=4830 | ||
| 69e | Secondary, Primary | Convert from fractional to decimal forms of thousandths. | drfrost.org/explorer.php?ssid=4831 | ||
| 69f | Secondary, Primary | Partition a decimal of up to 3 decimal places into fractional form. | drfrost.org/explorer.php?ssid=8703 | ||
| 69g | Secondary, Primary | Convert from decimal to fractional forms of tenths. | drfrost.org/explorer.php?ssid=8704 | ||
| 69h | Secondary, Primary | Convert from decimal to fractional forms of hundredths. | drfrost.org/explorer.php?ssid=8705 | ||
| 69i | Secondary, Primary | Convert from decimal to fractional forms of thousandths. | drfrost.org/explorer.php?ssid=8706 | ||
| 69j | Secondary, Primary | Partition a decimal of up to 3 decimal places in decimal form. | drfrost.org/explorer.php?ssid=4832 | ||
| 69k | Secondary, Primary | Partition a fraction into decimal form with up to 3 decimal places. | drfrost.org/explorer.php?ssid=8701 | ||
| 69l | Secondary, Primary | Place numbers with one decimal place on a number line. | drfrost.org/explorer.php?ssid=1339 | https://www.youtube-nocookie.com/embed/G1v09bpAioM | K41 |
| 69m | Secondary, Primary | Place numbers with two decimal places on a number line. | drfrost.org/explorer.php?ssid=4835 | ||
| 69n | Secondary, Primary | Place numbers with three decimal places on a number line. | drfrost.org/explorer.php?ssid=4836 | ||
| 69o | Secondary, Primary | Write down a decimal number as shown on a number line. | drfrost.org/explorer.php?ssid=1340 | https://www.youtube-nocookie.com/embed/G1v09bpAioM | K42 |
| 69p | Secondary, Primary | Read a decimal value off a scale split into powers of ten. | drfrost.org/explorer.php?ssid=8478 | ||
| 69q | Secondary, Primary | Know the place value of digits in decimal numbers beyond 3 decimal places. | drfrost.org/explorer.php?ssid=4837 | ||
| 69r | Secondary, Primary | Give a number that is 0.5 more or less than a given integer. | drfrost.org/explorer.php?ssid=8479 | ||
| 69s | Secondary, Primary | Give a number that is 0.1 more or less than a given integer. | drfrost.org/explorer.php?ssid=8480 | ||
| 70 | Secondary, Primary | Exam Practice: Multiplying and dividing by 10, 100, 1000, including decimals | drfrost.org/explorer.php?ssid=40 | https://www.youtube-nocookie.com/embed/bWZLt3hJ_Cg | E70 |
| 70a | Secondary, Primary | Multiply decimals with 1 decimal place by 10, 100 or 1000. | drfrost.org/explorer.php?ssid=4838 | ||
| 70b | Secondary, Primary | Multiply decimals with up to 3 decimal places by 10, 100 or 1000. | drfrost.org/explorer.php?ssid=4839 | ||
| 70c | Secondary, Primary | Multiply decimals with up to 3 decimal places by positive powers of 10, greater than 1000. | drfrost.org/explorer.php?ssid=614 | https://www.youtube-nocookie.com/embed/XfXQ246BRoU | K29 |
| 70d | Secondary, Primary | Divide integers by 10, 100 or 1000, to give an answer with up to 3 decimal places. | drfrost.org/explorer.php?ssid=4840 | ||
| 70e | Secondary, Primary | Divide decimals with 1 decimal place by 10, 100 or 1000. | drfrost.org/explorer.php?ssid=4841 | ||
| 70f | Secondary, Primary | Divide decimals with up to 3 decimal places by 10, 100 or 1000. | drfrost.org/explorer.php?ssid=4842 | ||
| 70g | Secondary, Primary | Divide integers and decimals by positive powers of 10, greater than 1000. | drfrost.org/explorer.php?ssid=615 | https://www.youtube-nocookie.com/embed/Bt58yQDKI7I | K30 |
| 71 | Secondary, Primary | Exam Practice: Compare decimals | drfrost.org/explorer.php?ssid=4196 | E71 | |
| 71a | Secondary, Primary | Compare decimals with 1 decimal place using inequalities. | drfrost.org/explorer.php?ssid=4843 | ||
| 71b | Secondary, Primary | Order decimals with 1 decimal place. | drfrost.org/explorer.php?ssid=4844 | ||
| 71c | Secondary, Primary | Compare decimals with up to 2 decimal places using inequalities. | drfrost.org/explorer.php?ssid=4845 | ||
| 71d | Secondary, Primary | Order decimals with up to 2 decimal places. | drfrost.org/explorer.php?ssid=4846 | ||
| 71e | Secondary, Primary | Compare decimals with up to 3 decimal places using inequalities. | drfrost.org/explorer.php?ssid=4847 | ||
| 71f | Secondary, Primary | Order decimals with up to 3 decimal places. | drfrost.org/explorer.php?ssid=4848 | ||
| 71g | Secondary, Primary | Compare decimals with more than 3 decimal places using inequalities. | drfrost.org/explorer.php?ssid=4849 | ||
| 71h | Secondary, Primary | Order decimals with more than 3 decimal places. | drfrost.org/explorer.php?ssid=4850 | ||
| 72 | Secondary, Primary | Exam Practice: Number bonds for numbers between 0 and 1 | drfrost.org/explorer.php?ssid=4197 | E72 | |
| 72a | Secondary, Primary | Use number bonds to 1 with 1 decimal place. | drfrost.org/explorer.php?ssid=4851 | ||
| 72b | Secondary, Primary | Use number bonds to 1 with 2 decimal places. | drfrost.org/explorer.php?ssid=4852 | ||
| 72c | Secondary, Primary | Use number bonds to 1 with 3 decimal places. | drfrost.org/explorer.php?ssid=4853 | ||
| 72d | Secondary, Primary | Use number bonds to numbers with 1 decimal place. | drfrost.org/explorer.php?ssid=4854 | ||
| 72e | Secondary, Primary | Use number bonds to numbers with 2 decimal places. | drfrost.org/explorer.php?ssid=4855 | ||
| 72f | Secondary, Primary | Use number bonds to numbers with 3 decimal places. | drfrost.org/explorer.php?ssid=4856 | ||
| 72g | Secondary, Primary | Use number bonds to a given integer with up to 3 decimal places. | drfrost.org/explorer.php?ssid=8360 | ||
| 73 | Secondary, Primary | Exam Practice: Making up monetary values with coins and notes, with decimal notation (GBP/Euro/Dollars) | drfrost.org/explorer.php?ssid=4198 | E73 | |
| 73a | Secondary, Primary | Write monetary values given in British pounds and pence in decimal form. | drfrost.org/explorer.php?ssid=4857 | ||
| 73b | Secondary, Primary | Partition money written in decimal form into British pounds and pence. | drfrost.org/explorer.php?ssid=4858 | ||
| 73c | Secondary, Primary | Write monetary values given in Euros and cents in decimal form. | drfrost.org/explorer.php?ssid=4859 | ||
| 73d | Secondary, Primary | Partition money written in decimal form into Euros and cents. | drfrost.org/explorer.php?ssid=4860 | ||
| 73e | Secondary, Primary | Write monetary values given in US Dollars and cents in decimal form. | drfrost.org/explorer.php?ssid=4861 | ||
| 73f | Secondary, Primary | Partition money written in decimal form into US Dollars and Cents. | drfrost.org/explorer.php?ssid=4862 | ||
| 73g | Secondary, Primary | Use number bonds to the nearest £1. | drfrost.org/explorer.php?ssid=4863 | ||
| 73h | Secondary, Primary | Use coins and notes to make up values in British pounds in decimal notation. | drfrost.org/explorer.php?ssid=4864 | ||
| 73i | Secondary, Primary | Use coins and notes to make up values in Euros in decimal notation. | drfrost.org/explorer.php?ssid=4865 | ||
| 73j | Secondary, Primary | Use coins and notes to make up values in US Dollars in decimal notation. | drfrost.org/explorer.php?ssid=4866 | ||
| 73k | Secondary, Primary | Compare and order monetary values in British pounds. | drfrost.org/explorer.php?ssid=4867 | ||
| 73l | Secondary, Primary | Compare and order monetary values in Euros. | drfrost.org/explorer.php?ssid=4868 | ||
| 73m | Secondary, Primary | Compare and order monetary values in US Dollars. | drfrost.org/explorer.php?ssid=4869 | ||
| 74 | Secondary, Primary | Exam Practice: Adding and subtracting decimal numbers | drfrost.org/explorer.php?ssid=37 | https://www.youtube-nocookie.com/embed/0Xu_vUVgBu4 | E74 |
| 74a | Secondary, Primary | Add two decimal numbers with the same number of decimal places, up to thousandths. | drfrost.org/explorer.php?ssid=4870 | ||
| 74b | Secondary, Primary | Add two decimal numbers with a different number of decimal places, up to thousandths. | drfrost.org/explorer.php?ssid=616 | https://www.youtube-nocookie.com/embed/yf30WKg3R3w | K31 |
| 74c | Secondary, Primary | Subtract two decimal numbers with the same number of decimal places, up to thousandths. | drfrost.org/explorer.php?ssid=4871 | ||
| 74d | Secondary, Primary | Subtract two decimal numbers with a different number of decimal places, up to thousandths. | drfrost.org/explorer.php?ssid=617 | https://www.youtube-nocookie.com/embed/XDyirhwIkO0 | K32 |
| 74e | Secondary, Primary | Subtract a decimal from an integer. | drfrost.org/explorer.php?ssid=8350 | ||
| 74f | Secondary, Primary | Add and subtract multiple decimals. | drfrost.org/explorer.php?ssid=4872 | ||
| 75 | Secondary, Primary | Exam Practice: Rounding a number to a given number of decimal places | drfrost.org/explorer.php?ssid=42 | https://www.youtube-nocookie.com/embed/Ti6Ixehp4dc | E75 |
| 75a | Secondary, Primary | Round a number to the nearest whole. | drfrost.org/explorer.php?ssid=4876 | ||
| 75b | Secondary, Primary | Round a number to 1 decimal place. | drfrost.org/explorer.php?ssid=4877 | ||
| 75c | Secondary, Primary | Round a number to 2 or more decimal places. | drfrost.org/explorer.php?ssid=629 | https://www.youtube-nocookie.com/embed/LSGPDaYDffE | K63 |
| 76 | Secondary, Primary | Exam Practice: Types of angle | drfrost.org/explorer.php?ssid=405 | https://www.youtube-nocookie.com/embed/xGYRXdbbb-U | E76 |
| 76a | Secondary, Primary | Identify the type of angle from drawn form. | drfrost.org/explorer.php?ssid=953 | https://www.youtube-nocookie.com/embed/O8WifnkYklg | K99 |
| 76b | Secondary, Primary | Identify the type of angle in numeric form. | drfrost.org/explorer.php?ssid=4878 | ||
| 76c | Secondary, Primary | Identify angles of a certain type in a given shape. | drfrost.org/explorer.php?ssid=4879 | ||
| 77 | Secondary, Primary | Exam Practice: Types of quadrilaterals and triangles | drfrost.org/explorer.php?ssid=111 | https://www.youtube-nocookie.com/embed/S1D65Nxm8d8 | E77 |
| 77a | Secondary, Primary | Know the names of different types of triangles. | drfrost.org/explorer.php?ssid=1362 | https://www.youtube-nocookie.com/embed/6pq7wwEcNqY | K94 |
| 77b | Secondary, Primary | Know the names of quadrilaterals. | drfrost.org/explorer.php?ssid=1433 | https://www.youtube-nocookie.com/embed/DX3tpJ-9nyI | K95 |
| 78 | Secondary, Primary | Exam Practice: Properties of polygons | drfrost.org/explorer.php?ssid=142 | https://www.youtube-nocookie.com/embed/nTamcBQWg94 | E78 |
| 78a | Secondary, Primary | Distinguish between regular and irregular polygons. | drfrost.org/explorer.php?ssid=4880 | ||
| 78b | Secondary, Primary | Identify lines of symmetry in 2D shapes. | drfrost.org/explorer.php?ssid=995 | https://www.youtube-nocookie.com/embed/m0aRF0ovXHY | K97 |
| 78c | Secondary, Primary | Draw or modify a diagram to achieve a given line symmetry. | drfrost.org/explorer.php?ssid=8361 | ||
| 78d | Secondary, Primary | Draw the line of symmetry where only one line of symmetry exists. | drfrost.org/explorer.php?ssid=4881 | ||
| 78e | Secondary, Primary | Understand the definition of different triangles and their properties. | drfrost.org/explorer.php?ssid=8385 | ||
| 78f | Secondary, Primary | Understand the definition of different quadrilaterals and their properties. | drfrost.org/explorer.php?ssid=993 | https://www.youtube-nocookie.com/embed/zveG9syhgpA | K96 |
| 78g | Secondary, Primary | Identify shapes which tessellate with themselves. | drfrost.org/explorer.php?ssid=4882 | ||
| 79 | Secondary, Primary | Exam Practice: Perimeter of a 2D shape by adding lengths | drfrost.org/explorer.php?ssid=572 | E79 | |
| 79a | Secondary, Primary | Calculate the perimeter of a 2D shape by adding lengths. | drfrost.org/explorer.php?ssid=763 | https://www.youtube-nocookie.com/embed/HLSd4bxCfFA | K110 |
| 79b | Secondary, Primary | Calculate the perimeter of a regular polygon given one of its sides. | drfrost.org/explorer.php?ssid=4883 | ||
| 79c | Secondary, Primary | Calculate the perimeter of a rectangle. | drfrost.org/explorer.php?ssid=1421 | https://www.youtube-nocookie.com/embed/Y5b7xyJ68R0 | K111 |
| 79d | Secondary, Primary | Calculate the perimeter of an isosceles triangle. | drfrost.org/explorer.php?ssid=4884 | ||
| 79e | Secondary, Primary | Calculate the side length of a regular polygon given its perimeter. | drfrost.org/explorer.php?ssid=4885 | ||
| 79f | Secondary, Primary | Calculate a side length of a rectangle given its perimeter. | drfrost.org/explorer.php?ssid=1341 | https://www.youtube-nocookie.com/embed/GkED2EzrlFc | K112 |
| 79g | Secondary, Primary | Calculate a side length within an isosceles triangle given its perimeter. | drfrost.org/explorer.php?ssid=4886 | ||
| 79h | Secondary, Primary | Determine the perimeter of a regular polygon given a shared side with another shape. | drfrost.org/explorer.php?ssid=8728 | ||
| 79i | Secondary, Primary | Determine lengths in a square, rectangle, or an equilateral or isosceles triangle, given that two shapes have the same perimeter. | drfrost.org/explorer.php?ssid=4887 | ||
| 79j | Secondary, Primary | Determine lengths of a rectangle or square formed by splitting or putting together other rectangles, squares or triangles. | drfrost.org/explorer.php?ssid=4888 | ||
| 80 | Secondary, Primary | Exam Practice: Area of shapes by counting squares | drfrost.org/explorer.php?ssid=571 | E80 | |
| 80a | Secondary, Primary | Determine the area of a rectangle by counting squares. | drfrost.org/explorer.php?ssid=2155 | ||
| 80b | Secondary, Primary | Determine the area of rectilinear shapes by counting squares. | drfrost.org/explorer.php?ssid=1278 | https://www.youtube-nocookie.com/embed/CJjI5vqvYgA | K113 |
| 80c | Secondary, Primary | Determine the area of shapes involving half squares. | drfrost.org/explorer.php?ssid=2131 | ||
| 80d | Secondary, Primary | Estimate the area of a curved shape by counting squares. | drfrost.org/explorer.php?ssid=8362 | ||
| 81 | Secondary, Primary | Exam Practice: Reflecting a shape in a mirror line (no axes) | drfrost.org/explorer.php?ssid=4199 | E81 | |
| 81a | Secondary, Primary | Reflect a shape in a vertical or horizontal mirror line which touches the shape. | drfrost.org/explorer.php?ssid=4889 | ||
| 81b | Secondary, Primary | Reflect a shape in a vertical or horizontal line which does not touch the shape. | drfrost.org/explorer.php?ssid=4890 | ||
| 81c | Secondary, Primary | Complete a shape by reflecting in its vertical or horizontal mirror line. | drfrost.org/explorer.php?ssid=4891 | ||
| 81d | Secondary, Primary | Reflect a shape against a diagonal line. | drfrost.org/explorer.php?ssid=4892 | ||
| 81e | Secondary, Primary | Draw the mirror line between a shape and its reflection. | drfrost.org/explorer.php?ssid=8731 | ||
| 82 | Secondary, Primary | Exam Practice: Translating a shape using directional language (no axes) | drfrost.org/explorer.php?ssid=4200 | E82 | |
| 82a | Secondary, Primary | Translate a shape on a unit grid using directional language. | drfrost.org/explorer.php?ssid=4893 | ||
| 82b | Secondary, Primary | Describe a translation on a unit grid using directional language. | drfrost.org/explorer.php?ssid=4894 | ||
| 83 | Secondary, Primary | Exam Practice: Coordinates in the first quadrant | drfrost.org/explorer.php?ssid=134 | https://www.youtube-nocookie.com/embed/hTApq20qKr4 | E83 |
| 83a | Secondary, Primary | Plot a point to complete a shape in the first quadrant. | drfrost.org/explorer.php?ssid=2317 | https://www.youtube-nocookie.com/embed/R9FekV-suSI | |
| 83b | Secondary, Primary | Determine the coordinate of a point in the first quadrant. | drfrost.org/explorer.php?ssid=857 | https://www.youtube-nocookie.com/embed/jUZSCH4IvLg | K122 |
| 83c | Secondary, Primary | Plot a point in the first quadrant given its coordinates. | drfrost.org/explorer.php?ssid=797 | https://www.youtube-nocookie.com/embed/d1GwA_0Vcco | K123 |
| 83d | Secondary, Primary | Read a point on the positive x or y axis. | drfrost.org/explorer.php?ssid=1997 | https://www.youtube-nocookie.com/embed/36yj7C46y4I | |
| 83e | Secondary, Primary | Plot a point on the positive x or y axis. | drfrost.org/explorer.php?ssid=1970 | ||
| 83f | Secondary, Primary | Use a scale to find the distance between two points with the same x- or y-coordinate in the first quadrant. | drfrost.org/explorer.php?ssid=4895 | https://www.youtube-nocookie.com/embed/PIidFFmGFNw | |
| 83g | Secondary, Primary | Use a scale to find the horizontal or vertical distance between any two points in the first quadrant. | drfrost.org/explorer.php?ssid=4896 | https://www.youtube-nocookie.com/embed/35V4XZs2HQo | |
| 84 | Secondary, Primary | Exam Practice: Map grid references | drfrost.org/explorer.php?ssid=4201 | E84 | |
| 84a | Secondary, Primary | Using 2 figure grid references. | drfrost.org/explorer.php?ssid=4897 | ||
| 84b | Secondary, Primary | Using 4 figure grid references. | drfrost.org/explorer.php?ssid=4898 | ||
| 84c | Secondary, Primary | Using 6 figure grid references. | drfrost.org/explorer.php?ssid=4899 | ||
| 85 | Secondary, Primary | Exam Practice: Counting up and down with negative numbers | drfrost.org/explorer.php?ssid=4202 | E85 | |
| 85a | Secondary, Primary | Count backwards through zero. | drfrost.org/explorer.php?ssid=4900 | ||
| 85b | Secondary, Primary | Count upwards beginning at a negative number. | drfrost.org/explorer.php?ssid=4901 | ||
| 85c | Secondary, Primary | Count backwards beginning at a negative number. | drfrost.org/explorer.php?ssid=4902 | ||
| 85d | Secondary, Primary | Skip count backwards through zero. | drfrost.org/explorer.php?ssid=4903 | ||
| 85e | Secondary, Primary | Skip counting beginning at a negative number. | drfrost.org/explorer.php?ssid=4904 | ||
| 85f | Secondary, Primary | Read negative integers off a number line. | drfrost.org/explorer.php?ssid=4905 | ||
| 85g | Secondary, Primary | Place negative integers on a number line. | drfrost.org/explorer.php?ssid=4906 | ||
| 85h | Secondary, Primary | Read a negative decimal off a number line. | drfrost.org/explorer.php?ssid=1385 | https://www.youtube-nocookie.com/embed/zwhOTX_pXBY | K185 |
| 85i | Secondary, Primary | Place a negative decimal on a number line. | drfrost.org/explorer.php?ssid=4907 | ||
| 86 | Secondary, Primary | Exam Practice: Comparing and ordering positive and negative numbers | drfrost.org/explorer.php?ssid=406 | https://www.youtube-nocookie.com/embed/NKidNS1AurE | E86 |
| 86a | Secondary, Primary | Compare two integers where one is negative using inequalities. | drfrost.org/explorer.php?ssid=4908 | ||
| 86b | Secondary, Primary | Compare two integers where both are negative using inequalities. | drfrost.org/explorer.php?ssid=1395 | K338 | |
| 86c | Secondary, Primary | Order a set of negative integers. | drfrost.org/explorer.php?ssid=4909 | ||
| 86d | Secondary, Primary | Order a set of positive and negative integers. | drfrost.org/explorer.php?ssid=902 | https://www.youtube-nocookie.com/embed/RR0fROLPCQ4 | K186 |
| 86e | Secondary, Primary | Compare two numbers (including decimals) where at least one is negative using inequalities. | drfrost.org/explorer.php?ssid=4910 | ||
| 86f | Secondary, Primary | Order a set of positive and negative numbers (including decimals). | drfrost.org/explorer.php?ssid=4911 | ||
| 86g | Secondary, Primary | Recognise the absolute value of a positive or negative integer to compare their size. | drfrost.org/explorer.php?ssid=4912 | ||
| 87 | Secondary, Primary | Exam Practice: Using negative numbers in context | drfrost.org/explorer.php?ssid=570 | E87 | |
| 87a | Secondary, Primary | Read negative numbers from a thermometer. | drfrost.org/explorer.php?ssid=4913 | ||
| 87b | Secondary, Primary | Calculate a new value after a decrease, where the original is positive and the new one is negative. | drfrost.org/explorer.php?ssid=4914 | ||
| 87c | Secondary, Primary | Calculate a new value after an increase, where the original is negative and the new one is positive. | drfrost.org/explorer.php?ssid=4915 | ||
| 87d | Secondary, Primary | Calculate the difference between two values where one is positive and one is negative. | drfrost.org/explorer.php?ssid=4916 | ||
| 87e | Secondary, Primary | Calculate a new value after a decrease, where both the original and new value are negative. | drfrost.org/explorer.php?ssid=4917 | ||
| 87f | Secondary, Primary | Calculate a new value after an increase, where both the original and new value are negative. | drfrost.org/explorer.php?ssid=4918 | ||
| 87g | Secondary, Primary | Calculate the difference between two values where both are negative. | drfrost.org/explorer.php?ssid=4919 | ||
| 88 | Secondary, Primary | Exam Practice: Power notation and calculate simple powers, e.g. squares, cubes | drfrost.org/explorer.php?ssid=55 | https://www.youtube-nocookie.com/embed/u3V9aJFkTiM | E88 |
| 88a | Secondary, Primary | Use power notation to describe a repeated multiplication. | drfrost.org/explorer.php?ssid=8687 | ||
| 88b | Secondary, Primary | Identify square numbers. | drfrost.org/explorer.php?ssid=947 | https://www.youtube-nocookie.com/embed/yv0wZ-QCgSo | K22 |
| 88c | Secondary, Primary | Identify cube numbers. | drfrost.org/explorer.php?ssid=948 | https://www.youtube-nocookie.com/embed/kj7ApsmRpbQ | K23 |
| 88d | Secondary, Primary | Calculate squares or cubes of a number. | drfrost.org/explorer.php?ssid=605 | https://www.youtube-nocookie.com/embed/D34oUmyuwPY | K18 |
| 89 | Secondary, Primary | Exam Practice: Completing short divisions with no remainders | drfrost.org/explorer.php?ssid=329 | https://www.youtube-nocookie.com/embed/qre2IGmKKAo | E89 |
| 89a | Secondary, Primary | Use short division to divide a two-digit integer by a single-digit integer, with an integer answer and no remainders. | drfrost.org/explorer.php?ssid=4920 | ||
| 89b | Secondary, Primary | Use short division to divide a three-digit or four-digit integer by a single-digit integer, with an integer answer and no remainders. | drfrost.org/explorer.php?ssid=624 | https://www.youtube-nocookie.com/embed/S3oF6N4r1jc | K16 |
| 90 | Secondary, Primary | Exam Practice: Completing long divisions with no remainders | drfrost.org/explorer.php?ssid=4203 | E90 | |
| 90a | Secondary, Primary | Use long division to divide any integer by a single-digit integer, with an integer answer and no remainders. | drfrost.org/explorer.php?ssid=4921 | ||
| 90b | Secondary, Primary | Use long division to divide any integer by a double-digit integer, with an integer answer and no remainders. | drfrost.org/explorer.php?ssid=625 | https://www.youtube-nocookie.com/embed/2-udnEJkcHM | K17 |
| 91 | Secondary, Primary | Exam Practice: Completing divisions with remainders as integers | drfrost.org/explorer.php?ssid=4204 | E91 | |
| 91a | Secondary, Primary | Divide a two-digit integer by a single-digit integer, with integer remainder. | drfrost.org/explorer.php?ssid=4922 | ||
| 91b | Secondary, Primary | Divide a three-digit or four-digit integer by a single-digit integer, with integer remainder. | drfrost.org/explorer.php?ssid=1639 | ||
| 91c | Secondary, Primary | Divide any integer by a double-digit integer, with integer remainder. | drfrost.org/explorer.php?ssid=1644 | ||
| 91d | Secondary, Primary | Interpret integer remainders in context. | drfrost.org/explorer.php?ssid=1682 | ||
| 92 | Secondary, Primary | Exam Practice: Completing divisions with remainders as fractions and decimals | drfrost.org/explorer.php?ssid=4205 | E92 | |
| 92a | Secondary, Primary | Divide any integer by a single-digit integer, giving the remainder as a fraction. | drfrost.org/explorer.php?ssid=1643 | ||
| 92b | Secondary, Primary | Divide any integer by a single-digit integer, giving the remainder as a decimal. | drfrost.org/explorer.php?ssid=1641 | ||
| 92c | Secondary, Primary | Divide any integer by a double-digit integer, giving the remainder as a fraction. | drfrost.org/explorer.php?ssid=1645 | ||
| 92d | Secondary, Primary | Divide any integer by a double-digit integer, giving the remainder as a decimal. | drfrost.org/explorer.php?ssid=1646 | ||
| 92e | Secondary, Primary | Interpret fraction and decimal remainders in context. | drfrost.org/explorer.php?ssid=4923 | ||
| 93 | Secondary, Primary | Exam Practice: Halfway between two numbers | drfrost.org/explorer.php?ssid=4206 | E93 | |
| 93a | Secondary, Primary | Find the number halfway between two integers. | drfrost.org/explorer.php?ssid=4924 | ||
| 93b | Secondary, Primary | Find an integer given another and their halfway point. | drfrost.org/explorer.php?ssid=4925 | ||
| 94 | Secondary, Primary | Exam Practice: Common multiples by listing | drfrost.org/explorer.php?ssid=558 | E94 | |
| 94a | Secondary, Primary | Identify common multiples of 2 numbers by listing. | drfrost.org/explorer.php?ssid=8745 | ||
| 94b | Secondary, Primary | Identify common multiples of more than 2 numbers by listing. | drfrost.org/explorer.php?ssid=4926 | ||
| 94c | Secondary, Primary | Solve problems in context using common multiples by listing. | drfrost.org/explorer.php?ssid=1674 | ||
| 95 | Secondary, Primary | Exam Practice: Common factors by listing | drfrost.org/explorer.php?ssid=559 | E95 | |
| 95a | Secondary, Primary | Identify common factors of 2 numbers by listing. | drfrost.org/explorer.php?ssid=4927 | ||
| 95b | Secondary, Primary | Identify common factors of more than 2 numbers by listing. | drfrost.org/explorer.php?ssid=4928 | ||
| 95c | Secondary, Primary | Solve problems in context using common factors by listing. | drfrost.org/explorer.php?ssid=8746 | ||
| 96 | Secondary, Primary | Exam Practice: Highest Common Factor and Lowest Common Multiple by listing | drfrost.org/explorer.php?ssid=4207 | E96 | |
| 96a | Secondary, Primary | Determine the LCM of two numbers using a listing strategy. | drfrost.org/explorer.php?ssid=890 | https://www.youtube-nocookie.com/embed/rv6ZiR-mlXY | K219 |
| 96b | Secondary, Primary | Determine the LCM of more than two numbers using a listing strategy. | drfrost.org/explorer.php?ssid=4929 | ||
| 96c | Secondary, Primary | Determine the HCF of two numbers using a listing strategy. | drfrost.org/explorer.php?ssid=889 | https://www.youtube-nocookie.com/embed/OSbXpoyKJUQ | K216 |
| 96d | Secondary, Primary | Determine the HCF of more than two numbers using a listing strategy. | drfrost.org/explorer.php?ssid=4930 | ||
| 96e | Secondary, Primary | Use the Lowest Common Multiple in an applied setting. | drfrost.org/explorer.php?ssid=4931 | ||
| 96f | Secondary, Primary | Use the Highest Common Factor in an applied setting. | drfrost.org/explorer.php?ssid=4932 | ||
| 97 | Secondary, Primary | Exam Practice: Prime numbers | drfrost.org/explorer.php?ssid=29 | https://www.youtube-nocookie.com/embed/kiJPCy3kqq4 | E97 |
| 97a | Secondary, Primary | Determine whether a number is prime, up to 20. | drfrost.org/explorer.php?ssid=4933 | ||
| 97b | Secondary, Primary | Determine whether a number is prime, up to 100. | drfrost.org/explorer.php?ssid=4934 | ||
| 97c | Secondary, Primary | List prime numbers in a range or prime numbers in sequence after a stated prime. | drfrost.org/explorer.php?ssid=4935 | ||
| 97d | Secondary, Primary | Determine whether a given number is prime, even/odd, square and cube. | drfrost.org/explorer.php?ssid=4936 | ||
| 97e | Secondary, Primary | Use the sieve of Eratosthenes to determine the list of all primes up to a given number. | drfrost.org/explorer.php?ssid=4937 | ||
| 98 | Secondary, Primary | Exam Practice: Fractional equivalence using factors and multiples | drfrost.org/explorer.php?ssid=4208 | E98 | |
| 98a | Secondary, Primary | Find an equivalent fraction through multiplication of the numerator and denominator. | drfrost.org/explorer.php?ssid=963 | https://www.youtube-nocookie.com/embed/ibZoRXljTq8 | K46 |
| 98b | Secondary, Primary | Find an equivalent fraction through division of the numerator and denominator. | drfrost.org/explorer.php?ssid=4938 | ||
| 98c | Secondary, Primary | Determine if fractions are equivalent. | drfrost.org/explorer.php?ssid=4939 | ||
| 98d | Secondary, Primary | Write a fraction in simplest form. | drfrost.org/explorer.php?ssid=596 | https://www.youtube-nocookie.com/embed/5HKxLyrdc6c | K47 |
| 98e | Secondary, Primary | Determine if a fraction is written in simplest form. | drfrost.org/explorer.php?ssid=4940 | ||
| 98f | Secondary, Primary | Write a proportion shown pictorially as a fraction in its simplest form. | drfrost.org/explorer.php?ssid=8799 | ||
| 98g | Secondary, Primary | Write a proportion expressed numerically as a fraction in its simplest form. | drfrost.org/explorer.php?ssid=1467 | K704 | |
| 98h | Secondary, Primary | Interpret values from a graph or table and give the result as a fraction in simplest form. | drfrost.org/explorer.php?ssid=4941 | ||
| 99 | Secondary, Primary | Exam Practice: Comparing and ordering fractions where the denominators are multiples of each other | drfrost.org/explorer.php?ssid=4209 | E99 | |
| 99a | Secondary, Primary | Compare two fractions where denominators are multiples of each other using inequalities. | drfrost.org/explorer.php?ssid=4942 | ||
| 99b | Secondary, Primary | Order fractions where denominators are multiples of each other. | drfrost.org/explorer.php?ssid=4943 | ||
| 100 | Secondary, Primary | Exam Practice: Adding and subtracting fractions where the denominators are multiples of each other | drfrost.org/explorer.php?ssid=4210 | E100 | |
| 100a | Secondary, Primary | Add fractions with different denominators where one fraction needs changing. | drfrost.org/explorer.php?ssid=1483 | https://www.youtube-nocookie.com/embed/yGrj8867rAc | K705 |
| 100b | Secondary, Primary | Subtract fractions with different denominators where one fraction needs changing. | drfrost.org/explorer.php?ssid=4944 | ||
| 101 | Secondary, Primary | Exam Practice: Converting between mixed numbers and improper fractions | drfrost.org/explorer.php?ssid=23 | https://www.youtube-nocookie.com/embed/iaEkkoUhWqk | E101 |
| 101a | Secondary, Primary | Write an improper fraction as a mixed number. | drfrost.org/explorer.php?ssid=601 | https://www.youtube-nocookie.com/embed/W6261sjDu_w | K171 |
| 101b | Secondary, Primary | Write a mixed number as an improper fraction. | drfrost.org/explorer.php?ssid=602 | https://www.youtube-nocookie.com/embed/y0EBOCG36D4 | K172 |
| 101c | Secondary, Primary | Compare mixed numbers and fractions with the same denominator using inequality symbols. | drfrost.org/explorer.php?ssid=4945 | ||
| 101d | Secondary, Primary | Order mixed numbers and fractions with the same denominator. | drfrost.org/explorer.php?ssid=4946 | ||
| 101e | Secondary, Primary | Compare mixed numbers and fractions where one denominator is a multiple of the another using inequality symbols. | drfrost.org/explorer.php?ssid=4947 | ||
| 101f | Secondary, Primary | Order mixed numbers and fractions where one denominator is a multiple of the another. | drfrost.org/explorer.php?ssid=4948 | ||
| 102 | Secondary, Primary | Exam Practice: Adding and subtracting mixed numbers with the same denominator | drfrost.org/explorer.php?ssid=4211 | E102 | |
| 102a | Secondary, Primary | Add proper or improper fractions with the same denominator, with total greater than a whole, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=4949 | ||
| 102b | Secondary, Primary | Add mixed numbers with the same denominators, where no regrouping is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=4950 | ||
| 102c | Secondary, Primary | Add mixed numbers with the same denominators, where regrouping is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=8352 | ||
| 102d | Secondary, Primary | Subtract improper fractions with the same denominators, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=4951 | ||
| 102e | Secondary, Primary | Subtract proper fractions or mixed numbers from an integer, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=8353 | ||
| 102f | Secondary, Primary | Subtract mixed numbers with the same denominators, where no exchange is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=8354 | ||
| 102g | Secondary, Primary | Subtract mixed numbers with the same denominators, where an exchange is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=4952 | ||
| 103 | Secondary, Primary | Exam Practice: Adding and subtracting mixed numbers where one denominator is a multiple of another | drfrost.org/explorer.php?ssid=4212 | E103 | |
| 103a | Secondary, Primary | Add proper or improper fractions where one denominator is a multiple of another, with total greater than a whole, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=4953 | ||
| 103b | Secondary, Primary | Add mixed numbers where one denominator is a multiple of another, where no regrouping is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=4954 | ||
| 103c | Secondary, Primary | Add mixed numbers where one denominator is a multiple of another, where regrouping is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=8355 | ||
| 103d | Secondary, Primary | Subtract improper fractions where one denominator is a multiple of another, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=4955 | ||
| 103e | Secondary, Primary | Subtract mixed numbers where one denominator is a multiple of another, where no exchange is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=8356 | ||
| 103f | Secondary, Primary | Subtract mixed numbers where one denominator is a multiple of another, where an exchange is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=4956 | ||
| 104 | Secondary, Primary | Exam Practice: Basic fraction and decimal equivalence | drfrost.org/explorer.php?ssid=4213 | E104 | |
| 104a | Secondary, Primary | Recognise decimal equivalents for a whole, half, a quarter and three quarters. | drfrost.org/explorer.php?ssid=4957 | ||
| 104b | Secondary, Primary | Determine decimal equivalents for tenths. | drfrost.org/explorer.php?ssid=4958 | ||
| 104c | Secondary, Primary | Determine decimal equivalents for fifths. | drfrost.org/explorer.php?ssid=4959 | ||
| 104d | Secondary, Primary | Place decimal numbers on a number line split into steps of a half, quarter or fifth. | drfrost.org/explorer.php?ssid=8795 | ||
| 104e | Secondary, Primary | Write down a decimal number as shown on a number line split into steps of a half, quarter or fifth. | drfrost.org/explorer.php?ssid=8796 | ||
| 104f | Secondary, Primary | Read a decimal value off a scale split into steps of a half, quarter or fifth. | drfrost.org/explorer.php?ssid=8797 | ||
| 104g | Secondary, Primary | Determine decimal equivalents for fractions with denominators that are factors of 100. | drfrost.org/explorer.php?ssid=4960 | ||
| 104h | Secondary, Primary | Determine decimal equivalents for fractions with denominators that are multiples of 100. | drfrost.org/explorer.php?ssid=4961 | ||
| 104i | Secondary, Primary | Determine fraction equivalents for decimals, where the denominators are factors and multiples of 100. | drfrost.org/explorer.php?ssid=4962 | ||
| 104j | Secondary, Primary | Find the sum or difference of decimals and fractions. | drfrost.org/explorer.php?ssid=8773 | ||
| 104k | Secondary, Primary | Convert from hours or minutes with a decimal part. | drfrost.org/explorer.php?ssid=8794 | ||
| 104l | Secondary, Primary | Convert from hours and minutes or minutes and seconds to a decimal. | drfrost.org/explorer.php?ssid=4978 | ||
| 105 | Secondary, Primary | Exam Practice: Percentages as values out of 100 and converting between fractions and percentages | drfrost.org/explorer.php?ssid=4214 | E105 | |
| 105a | Secondary, Primary | Determine what percentage of a shape is shaded for a grid size of 100. | drfrost.org/explorer.php?ssid=1407 | https://www.youtube-nocookie.com/embed/E-0tUEdo_6U | K50 |
| 105b | Secondary, Primary | Convert between percentages and fractions with denominator of 100. | drfrost.org/explorer.php?ssid=4963 | ||
| 105c | Secondary, Primary | Recognise percentage equivalents for a whole, half, a quarter and three quarters. | drfrost.org/explorer.php?ssid=4964 | ||
| 105d | Secondary, Primary | Determine percentage equivalents for fifths. | drfrost.org/explorer.php?ssid=4965 | ||
| 105e | Secondary, Primary | Determine percentage equivalents for fractions with denominators that are factors of 100. | drfrost.org/explorer.php?ssid=4966 | ||
| 105f | Secondary, Primary | Determine percentage equivalents for fractions with denominators that are multiples of 100. | drfrost.org/explorer.php?ssid=4967 | ||
| 105g | Secondary, Primary | Determine fraction equivalents for percentages, where the denominators are factors and multiples of 100. | drfrost.org/explorer.php?ssid=4968 | ||
| 106 | Secondary, Primary | Exam Practice: Basic percentage and decimal equivalence | drfrost.org/explorer.php?ssid=4215 | E106 | |
| 106a | Secondary, Primary | Convert a percentage up to 100% to a decimal with up to 2 decimal places. | drfrost.org/explorer.php?ssid=643 | https://www.youtube-nocookie.com/embed/wMMmm9Mdznw | K56 |
| 106b | Secondary, Primary | Convert a decimal with 1 decimal place to a percentage. | drfrost.org/explorer.php?ssid=642 | https://www.youtube-nocookie.com/embed/BdNm1tn9rvk | K55 |
| 106c | Secondary, Primary | Convert a decimal with 2 decimal places to a percentage. | drfrost.org/explorer.php?ssid=4969 | ||
| 107 | Secondary, Primary | Exam Practice: Converting between metric units of measure | drfrost.org/explorer.php?ssid=153 | E107 | |
| 107a | Secondary, Primary | Understand prefixes used for metric units of measure. | drfrost.org/explorer.php?ssid=8598 | ||
| 107b | Secondary, Primary | Convert metric units of length from smaller units to bigger units. | drfrost.org/explorer.php?ssid=708 | https://www.youtube-nocookie.com/embed/6C948JCQguc | K127 |
| 107c | Secondary, Primary | Convert metric units of length from bigger units to smaller units. | drfrost.org/explorer.php?ssid=709 | https://www.youtube-nocookie.com/embed/ccEETbyIpS4 | K128 |
| 107d | Secondary, Primary | Convert units of mass by multiplying. | drfrost.org/explorer.php?ssid=1354 | https://www.youtube-nocookie.com/embed/T1qnGgqxJ5o | K130 |
| 107e | Secondary, Primary | Convert units of mass by dividing. | drfrost.org/explorer.php?ssid=1355 | https://www.youtube-nocookie.com/embed/FcRa8Q0o1tU | K131 |
| 107f | Secondary, Primary | Convert units of capacity by multiplying. | drfrost.org/explorer.php?ssid=1356 | https://www.youtube-nocookie.com/embed/DkE_yXtngUM | K132 |
| 107g | Secondary, Primary | Convert units of capacity by dividing. | drfrost.org/explorer.php?ssid=1357 | https://www.youtube-nocookie.com/embed/9Hh9zVNOf1Y | K133 |
| 107h | Secondary, Primary | Compare and order measurements in different metric units where conversion is required. | drfrost.org/explorer.php?ssid=4970 | ||
| 107i | Secondary, Primary | Calculate with metric measures of length, which may require conversion. | drfrost.org/explorer.php?ssid=1373 | https://www.youtube-nocookie.com/embed/IlbFK1Er7yc | K129 |
| 107j | Secondary, Primary | Calculate with metric measures of mass or capacity, which may require conversion. | drfrost.org/explorer.php?ssid=8709 | ||
| 107k | Secondary, Primary | Choose an appropriate metric unit for real-life measurements. | drfrost.org/explorer.php?ssid=8599 | ||
| 108 | Secondary, Primary | Exam Practice: Equivalence of metric and imperial units (inches, pints, pounds and miles) | drfrost.org/explorer.php?ssid=381 | https://www.youtube-nocookie.com/embed/DClfLfRIV0M | E108 |
| 108a | Secondary, Primary | Identify imperial units of capacity, mass and length. | drfrost.org/explorer.php?ssid=4971 | ||
| 108b | Secondary, Primary | Choose an appropriate imperial or metric unit for real-life measurements. | drfrost.org/explorer.php?ssid=4972 | ||
| 108c | Secondary, Primary | Convert between imperial measures using a given conversion rate. | drfrost.org/explorer.php?ssid=8336 | ||
| 108d | Secondary, Primary | Convert between miles and kilometres or between feet/inches and centimetres. | drfrost.org/explorer.php?ssid=4973 | ||
| 108e | Secondary, Primary | Convert between pounds and kilograms. | drfrost.org/explorer.php?ssid=4974 | ||
| 108f | Secondary, Primary | Convert between litres and pints and between litres and gallons. | drfrost.org/explorer.php?ssid=4975 | ||
| 108g | Secondary, Primary | Make calculations involving a conversion between imperial measures using a given conversion rate. | drfrost.org/explorer.php?ssid=8337 | ||
| 108h | Secondary, Primary | Make calculations involving a conversion between two imperial measures and between imperial and metric. | drfrost.org/explorer.php?ssid=4976 | ||
| 108i | Secondary, Primary | Make further calculations, for example involving cost, after a conversion between metric and imperial units. | drfrost.org/explorer.php?ssid=4977 | ||
| 109 | Secondary, Primary | Exam Practice: Measuring and drawing non-reflex angles in degrees with a protractor | drfrost.org/explorer.php?ssid=580 | E109 | |
| 109a | Secondary, Primary | Measure a non-reflex angle with a protractor. | drfrost.org/explorer.php?ssid=1117 | https://www.youtube-nocookie.com/embed/3WiaVjLNsO4 | K105 |
| 109b | Secondary, Primary | Draw a non-reflex angle with a protractor. | drfrost.org/explorer.php?ssid=1118 | https://www.youtube-nocookie.com/embed/sO56ozfCVws | K106 |
| 110 | Secondary, Primary | Exam Practice: Sum of the angles on a straight line and angles around a point | drfrost.org/explorer.php?ssid=119 | https://www.youtube-nocookie.com/embed/xngyacmFs5k | E110 |
| 110a | Secondary, Primary | Know the properties of angles on a straight line. | drfrost.org/explorer.php?ssid=656 | https://www.youtube-nocookie.com/embed/9UhdqszBxf4 | K103 |
| 110b | Secondary, Primary | Know the properties of angles about a point. | drfrost.org/explorer.php?ssid=657 | https://www.youtube-nocookie.com/embed/xeSTV0PDQaY | K104 |
| 110c | Secondary, Primary | Know the properties of angles in a right angle. | drfrost.org/explorer.php?ssid=8363 | https://www.youtube-nocookie.com/embed/KpTRKtRgveY | |
| 111 | Secondary, Primary | Exam Practice: Measuring and drawing reflex angles in degrees with a protractor | drfrost.org/explorer.php?ssid=4216 | E111 | |
| 111a | Secondary, Primary | Determine the size of a reflex angle by measuring the conjugate angle with a protractor. | drfrost.org/explorer.php?ssid=4979 | ||
| 111b | Secondary, Primary | Draw a reflex angle by drawing its conjugate with a protractor. | drfrost.org/explorer.php?ssid=4980 | ||
| 112 | Secondary, Primary | Exam Practice: Estimating the size of an angle | drfrost.org/explorer.php?ssid=4217 | E112 | |
| 112a | Secondary, Primary | Estimate the size of a non-reflex angle. | drfrost.org/explorer.php?ssid=1285 | https://www.youtube-nocookie.com/embed/WC2UzzL_vCI | K101 |
| 112b | Secondary, Primary | Estimate the size of a reflex angle. | drfrost.org/explorer.php?ssid=4981 | ||
| 113 | Secondary, Primary | Exam Practice: Reading and using timetables and distance charts | drfrost.org/explorer.php?ssid=146 | E113 | |
| 113a | Secondary, Primary | Find a time using a timetable. | drfrost.org/explorer.php?ssid=1430 | K86 | |
| 113b | Secondary, Primary | Make calculations from bus/train timetables. | drfrost.org/explorer.php?ssid=1453 | K87 | |
| 113c | Secondary, Primary | Read and interpret a distance chart. | drfrost.org/explorer.php?ssid=1460 | K88 | |
| 113d | Secondary, Primary | Make calculations from a distance chart. | drfrost.org/explorer.php?ssid=1732 | ||
| 113e | Secondary, Primary | Calculate the time in another time zone, given the local time. | drfrost.org/explorer.php?ssid=8339 | ||
| 113f | Secondary, Primary | Solve problems involving time elapsed in two different time zones. | drfrost.org/explorer.php?ssid=8340 | ||
| 114 | Secondary, Primary | Exam Practice: Interpreting and presenting data in simple graphs | drfrost.org/explorer.php?ssid=557 | E114 | |
| 114a | Secondary, Primary | Interpret a line graph. | drfrost.org/explorer.php?ssid=4982 | ||
| 114b | Secondary, Primary | Interpret a scatter graph. | drfrost.org/explorer.php?ssid=4983 | ||
| 114c | Secondary, Primary | Interpret a time graph. | drfrost.org/explorer.php?ssid=4984 | ||
| 114d | Secondary, Primary | Interpret other simple graphical representations. | drfrost.org/explorer.php?ssid=8334 | ||
| 115 | Secondary, Primary | Exam Practice: Order of operations (no powers and roots) | drfrost.org/explorer.php?ssid=108 | https://www.youtube-nocookie.com/embed/XQfDJqhCiFw | E115 |
| 115a | Secondary, Primary | Evaluate calculations with two operations. | drfrost.org/explorer.php?ssid=773 | https://www.youtube-nocookie.com/embed/ucdu7vBmZRo | K193 |
| 115b | Secondary, Primary | Evaluate calculations with three operations. | drfrost.org/explorer.php?ssid=1028 | https://www.youtube-nocookie.com/embed/I6XHvED8b7E | K194 |
| 115c | Secondary, Primary | Evaluate calculations with brackets and at least 3 operations. | drfrost.org/explorer.php?ssid=1029 | https://www.youtube-nocookie.com/embed/OSF0rmTM2q0 | K195 |
| 115d | Secondary, Primary | Evaluate calculations where operations are within a fraction. | drfrost.org/explorer.php?ssid=8800 | ||
| 115e | Secondary, Primary | Add operations to expressions to make a target value. | drfrost.org/explorer.php?ssid=8600 | ||
| 115f | Secondary, Primary | Add brackets to the expressions to make a target value. | drfrost.org/explorer.php?ssid=4985 | ||
| 116 | Secondary, Primary | Exam Practice: Comparing and ordering fractions with different denominators. | drfrost.org/explorer.php?ssid=4218 | E116 | |
| 116a | Secondary, Primary | Compare two fractions with different denominators using inequalities. | drfrost.org/explorer.php?ssid=4986 | ||
| 116b | Secondary, Primary | Order fractions where denominators are different. | drfrost.org/explorer.php?ssid=4987 | ||
| 116c | Secondary, Primary | Compare mixed numbers and fractions with different denominators using inequalities. | drfrost.org/explorer.php?ssid=8293 | ||
| 116d | Secondary, Primary | Order mixed numbers and fractions with different denominators. | drfrost.org/explorer.php?ssid=8294 | ||
| 117 | Secondary, Primary | Exam Practice: Adding and subtracting fractions with any denominator | drfrost.org/explorer.php?ssid=4219 | E117 | |
| 117a | Secondary, Primary | Add fractions with different denominators, expressing the answer as a proper or improper fraction. | drfrost.org/explorer.php?ssid=595 | https://www.youtube-nocookie.com/embed/KNoP3qhGqnc | K170 |
| 117b | Secondary, Primary | Subtract fractions with different denominators, expressing the answer as a proper or improper fraction. | drfrost.org/explorer.php?ssid=8357 | ||
| 117c | Secondary, Primary | Determine the remaining fraction given other proportions of the whole. | drfrost.org/explorer.php?ssid=4988 | ||
| 118 | Secondary, Primary | Exam Practice: Adding and subtracting mixed numbers with different denominators | drfrost.org/explorer.php?ssid=19 | https://www.youtube-nocookie.com/embed/cNEYdIz4MvM | E118 |
| 118a | Secondary, Primary | Add proper or improper fractions with different denominators, with total greater than a whole, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=4989 | ||
| 118b | Secondary, Primary | Add mixed numbers with different denominators, where no regrouping is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=1868 | ||
| 118c | Secondary, Primary | Add mixed numbers with different denominators, where regrouping is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=1883 | ||
| 118d | Secondary, Primary | Subtract improper fractions with different denominators, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=8660 | ||
| 118e | Secondary, Primary | Subtract mixed numbers with different denominators, where no exchange is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=8659 | ||
| 118f | Secondary, Primary | Subtract mixed numbers with different denominators, where an exchange is required, expressing the answer as a mixed number. | drfrost.org/explorer.php?ssid=600 | https://www.youtube-nocookie.com/embed/lgNc3O8NUGE | K178 |
| 119 | Secondary, Primary | Exam Practice: Multiplying fractions and mixed numbers by an integer | drfrost.org/explorer.php?ssid=4220 | E119 | |
| 119a | Secondary, Primary | Multiply a fraction by an integer. | drfrost.org/explorer.php?ssid=1366 | https://www.youtube-nocookie.com/embed/KADWfYU8yFE | K174 |
| 119b | Secondary, Primary | Multiply a mixed number by an integer. | drfrost.org/explorer.php?ssid=1367 | https://www.youtube-nocookie.com/embed/q-IqrpEgGXo | K181 |
| 120 | Secondary, Primary | Exam Practice: Multiplying proper fractions with no simplifying | drfrost.org/explorer.php?ssid=4221 | E120 | |
| 120a | Secondary, Primary | Multiply a fraction by a fraction with no simplification required. | drfrost.org/explorer.php?ssid=4990 | ||
| 120b | Secondary, Primary | Square a fraction. | drfrost.org/explorer.php?ssid=4991 | ||
| 121 | Secondary, Primary | Exam Practice: Dividing fractions by integers | drfrost.org/explorer.php?ssid=562 | E121 | |
| 121a | Secondary, Primary | Divide a fraction by an integer. | drfrost.org/explorer.php?ssid=1368 | https://www.youtube-nocookie.com/embed/_oqPYMWrREY | K176 |
| 121b | Secondary, Primary | Divide a mixed number by an integer. | drfrost.org/explorer.php?ssid=4992 | ||
| 121c | Secondary, Primary | Find the number halfway between two fractions. | drfrost.org/explorer.php?ssid=4993 | ||
| 121d | Secondary, Primary | Find a fraction given another fraction and their halfway point. | drfrost.org/explorer.php?ssid=4994 | ||
| 122 | Secondary, Primary | Exam Practice: Multiplying a decimal (up to 2dp) by an integer | drfrost.org/explorer.php?ssid=560 | E122 | |
| 122a | Secondary, Primary | Multiply a decimal by an integer. | drfrost.org/explorer.php?ssid=1196 | https://www.youtube-nocookie.com/embed/k6DxDIgBg0E | K33 |
| 123 | Secondary, Primary | Exam Practice: Multiplying decimal numbers | drfrost.org/explorer.php?ssid=38 | https://www.youtube-nocookie.com/embed/-nIljKtJiT4 | E123 |
| 123a | Secondary, Primary | Calculate a decimal multiplication using a given multiplication fact and knowledge of place value. | drfrost.org/explorer.php?ssid=1365 | https://www.youtube-nocookie.com/embed/S8IvAcW9XU0 | K39 |
| 123b | Secondary, Primary | Multiply decimals by 0.1, 0.01, and 0.001. | drfrost.org/explorer.php?ssid=618 | https://www.youtube-nocookie.com/embed/3977zwOIqPM | K37 |
| 123c | Secondary, Primary | Multiply decimals using equivalent fractions. | drfrost.org/explorer.php?ssid=1497 | K708 | |
| 123d | Secondary, Primary | Multiply decimals by considering a simple related integer multiplication, then use place value to scale the answer. | drfrost.org/explorer.php?ssid=8697 | ||
| 123e | Secondary, Primary | Multiply decimals by considering a related column multiplication, then use place value to scale the answer. | drfrost.org/explorer.php?ssid=2178 | ||
| 124 | Secondary, Primary | Exam Practice: Dividing a decimal (up to 2dp) by an integer | drfrost.org/explorer.php?ssid=561 | E124 | |
| 124a | Secondary, Primary | Divide a decimal by a single-digit integer where there is no final remainder. | drfrost.org/explorer.php?ssid=1337 | https://www.youtube-nocookie.com/embed/oTCTnOVs4vY | K35 |
| 124b | Secondary, Primary | Divide a decimal by a single-digit integer where the final remainder creates additional digits. | drfrost.org/explorer.php?ssid=4995 | ||
| 124c | Secondary, Primary | Find the number halfway between two decimals. | drfrost.org/explorer.php?ssid=4996 | ||
| 124d | Secondary, Primary | Find a number given a decimal and their halfway point. | drfrost.org/explorer.php?ssid=4997 | ||
| 125 | Secondary, Primary | Exam Practice: Dividing decimal numbers | drfrost.org/explorer.php?ssid=39 | https://www.youtube-nocookie.com/embed/AYjkIDSf640 | E125 |
| 125a | Secondary, Primary | Calculate a decimal division using a given division fact. | drfrost.org/explorer.php?ssid=8698 | ||
| 125b | Secondary, Primary | Calculate a decimal division using a given multiplication fact. | drfrost.org/explorer.php?ssid=8688 | ||
| 125c | Secondary, Primary | Divide decimals using division of equivalent fractions. | drfrost.org/explorer.php?ssid=8725 | ||
| 125d | Secondary, Primary | Divide decimals by 0.1, 0.01, and 0.001. | drfrost.org/explorer.php?ssid=619 | https://www.youtube-nocookie.com/embed/GZZStSfeY7s | K38 |
| 125e | Secondary, Primary | Divide an integer by a decimal by considering a related integer division, then use place value to scale the answer. | drfrost.org/explorer.php?ssid=8373 | ||
| 125f | Secondary, Primary | Divide decimals by considering a related integer division, then use place value to scale the answer. | drfrost.org/explorer.php?ssid=4998 | ||
| 125g | Secondary, Primary | Divide a decimal by a decimal by writing as an equivalent fraction with an integer denominator. | drfrost.org/explorer.php?ssid=1348 | https://www.youtube-nocookie.com/embed/W_U9Pu2KD0A | K36 |
| 125h | Secondary, Primary | Divide an integer by a decimal by writing as an equivalent fraction with an integer denominator. | drfrost.org/explorer.php?ssid=8374 | ||
| 126 | Secondary, Primary | Exam Practice: Worded problems with all four arithmetic operations and decimals, excluding money | drfrost.org/explorer.php?ssid=4222 | E126 | |
| 126a | Secondary, Primary | Solve an arithmetic worded problem involving addition or subtraction, including decimals. | drfrost.org/explorer.php?ssid=5000 | ||
| 126b | Secondary, Primary | Solve an arithmetic worded problem involving multiplication or division, including decimals. | drfrost.org/explorer.php?ssid=5001 | ||
| 126c | Secondary, Primary | Solve an arithmetic worded problem involving two-steps of addition or subtraction, including decimals. | drfrost.org/explorer.php?ssid=5002 | ||
| 126d | Secondary, Primary | Solve an arithmetic worded problem involving two-steps of multiplication or division, including decimals. | drfrost.org/explorer.php?ssid=5003 | ||
| 126e | Secondary, Primary | Solve an arithmetic worded problem involving two-steps, one addition/subtraction and the other multiplication, including decimals. | drfrost.org/explorer.php?ssid=5004 | ||
| 126f | Secondary, Primary | Solve an arithmetic worded problem involving two-steps, one addition/subtraction and the other division, including decimals. | drfrost.org/explorer.php?ssid=5005 | ||
| 127 | Secondary, Primary | Exam Practice: Calculating with money in decimal notation (GBP/EUR/USD) | drfrost.org/explorer.php?ssid=4223 | E127 | |
| 127a | Secondary, Primary | Calculate the total cost given the cost of each item. | drfrost.org/explorer.php?ssid=5006 | ||
| 127b | Secondary, Primary | Calculate the difference in cost or the amount of change to be given from one item. | drfrost.org/explorer.php?ssid=8358 | ||
| 127c | Secondary, Primary | Compare the cost of two different deals. | drfrost.org/explorer.php?ssid=8915 | ||
| 127d | Secondary, Primary | Calculate the cost of each item given the total cost of items of only one type. | drfrost.org/explorer.php?ssid=5007 | ||
| 127e | Secondary, Primary | Determine how many items can be bought for a total amount using mental methods. | drfrost.org/explorer.php?ssid=5008 | ||
| 127f | Secondary, Primary | Determine how many items can be bought for a total amount by division. | drfrost.org/explorer.php?ssid=5009 | ||
| 127g | Secondary, Primary | Calculate the total cost of multiple items and divide it equally. | drfrost.org/explorer.php?ssid=5010 | ||
| 127h | Secondary, Primary | Determine the change due after buying multiple items. | drfrost.org/explorer.php?ssid=8359 | ||
| 127i | Secondary, Primary | Determine the amount per item of one type given the total amount spent and the remaining cost. | drfrost.org/explorer.php?ssid=5011 | ||
| 127j | Secondary, Primary | Determine the amount per item of one type given the total amount spent and cost of items of the other types. | drfrost.org/explorer.php?ssid=5012 | ||
| 127k | Secondary, Primary | Determine the number of items that can be purchased with a remaining amount. | drfrost.org/explorer.php?ssid=8747 | ||
| 127l | Secondary, Primary | Make a simple calculation using a frequency from a bar chart, vertical line chart or pictogram. | drfrost.org/explorer.php?ssid=8577 | ||
| 128 | Secondary, Primary | Exam Practice: Multiplicative scaling with integer scale factors and ratio notation | drfrost.org/explorer.php?ssid=4224 | E128 | |
| 128a | Secondary, Primary | Work out a related multiplication using a given multiplication fact, where one number is scaled. | drfrost.org/explorer.php?ssid=1429 | K26 | |
| 128b | Secondary, Primary | Work out a related division using a given division fact, where one number is scaled. | drfrost.org/explorer.php?ssid=8407 | ||
| 128c | Secondary, Primary | Work out a related division using a given multiplication fact, where one number is scaled. | drfrost.org/explorer.php?ssid=8700 | ||
| 128d | Secondary, Primary | Solve problems using 'for every' or similar language using repeated addition. | drfrost.org/explorer.php?ssid=5013 | ||
| 128e | Secondary, Primary | Solve problems using 'for every' or similar language using multiplication. | drfrost.org/explorer.php?ssid=5014 | ||
| 128f | Secondary, Primary | Write unequal shares in ratio notation from a diagram (no simplifying). | drfrost.org/explorer.php?ssid=5015 | ||
| 128g | Secondary, Primary | Write unequal shares in ratio notation (no simplifying) | drfrost.org/explorer.php?ssid=5016 | ||
| 128h | Secondary, Primary | Solve problems involving unequal shares written in ratio notation using repeated addition. | drfrost.org/explorer.php?ssid=5017 | ||
| 128i | Secondary, Primary | Solve problems involving unequal shares written in ratio notation using multiplication. | drfrost.org/explorer.php?ssid=5018 | ||
| 128j | Secondary, Primary | Calculate lengths based on a proportional relationship. | drfrost.org/explorer.php?ssid=5019 | ||
| 128k | Secondary, Primary | Scale recipes with integer scale factors. | drfrost.org/explorer.php?ssid=5020 | ||
| 128l | Secondary, Primary | Calculate cost using multiplicative reasoning. | drfrost.org/explorer.php?ssid=5021 | ||
| 129 | Secondary, Primary | Exam Practice: Similar shapes with integer scale factors | drfrost.org/explorer.php?ssid=4225 | E129 | |
| 129a | Secondary, Primary | Represent the relationship between two lengths in similar shapes in ratio notation. | drfrost.org/explorer.php?ssid=5022 | ||
| 129b | Secondary, Primary | Calculate a missing length on a similar shape using an integer scale factor. | drfrost.org/explorer.php?ssid=5023 | ||
| 129c | Secondary, Primary | Calculate the integer scale factor between two similar shapes. | drfrost.org/explorer.php?ssid=5024 | ||
| 130 | Secondary, Primary | Exam Practice: Calculating a simple percentage of an amount, using chunking | drfrost.org/explorer.php?ssid=51 | https://www.youtube-nocookie.com/embed/m6iDDrIeRZ4 | E130 |
| 130a | Secondary, Primary | Calculate 50% of an amount without a calculator. | drfrost.org/explorer.php?ssid=8481 | ||
| 130b | Secondary, Primary | Calculate 10% of an amount without a calculator. | drfrost.org/explorer.php?ssid=8482 | ||
| 130c | Secondary, Primary | Calculate 5% of an amount without a calculator. | drfrost.org/explorer.php?ssid=8499 | ||
| 130d | Secondary, Primary | Calculate 1% of an amount without a calculator. | drfrost.org/explorer.php?ssid=8483 | ||
| 130e | Secondary, Primary | Calculate 25% of an amount without a calculator. | drfrost.org/explorer.php?ssid=8484 | ||
| 130f | Secondary, Primary | Calculate the percentage of an amount without a calculator, using chunking with multiples of 10%. | drfrost.org/explorer.php?ssid=833 | https://www.youtube-nocookie.com/embed/CMC6D87uK4I | K209 |
| 130g | Secondary, Primary | Calculate the percentage of an amount without a calculator, using chunking with multiples of 5%. | drfrost.org/explorer.php?ssid=1601 | ||
| 130h | Secondary, Primary | Calculate the percentage of an amount without a calculator using 1% chunks. | drfrost.org/explorer.php?ssid=1850 | ||
| 130i | Secondary, Primary | Combine different percentages of amounts or find a remaining amount. | drfrost.org/explorer.php?ssid=5025 | ||
| 130j | Secondary, Primary | Solve problems involving a fraction of an amount and a simple percentage of an amount. | drfrost.org/explorer.php?ssid=5026 | ||
| 131 | Secondary, Primary | Exam Practice: Pie charts with simple fractions and percentages | drfrost.org/explorer.php?ssid=4226 | E131 | |
| 131a | Secondary, Primary | Make simple statements about a given pie chart. | drfrost.org/explorer.php?ssid=5027 | ||
| 131b | Secondary, Primary | Determine the fraction represented by a sector of a pie chart, where it is split into equal sectors. | drfrost.org/explorer.php?ssid=5028 | ||
| 131c | Secondary, Primary | Interpret the frequency of a sector in a pie chart, where it is split into equal sectors. | drfrost.org/explorer.php?ssid=5029 | ||
| 131d | Secondary, Primary | Draw pie charts, where it is split into equal sectors. | drfrost.org/explorer.php?ssid=5030 | ||
| 131e | Secondary, Primary | Determine the fraction represented by a sector of a pie chart, using a protractor to measure the sector angles (factors of 360). | drfrost.org/explorer.php?ssid=5031 | ||
| 131f | Secondary, Primary | Interpret the frequency represented a sector in a pie chart, using a protractor to measure the sector angles (factors of 360). | drfrost.org/explorer.php?ssid=5032 | ||
| 131g | Secondary, Primary | Determine the angle for a sector of a pie chart, where the total is a factor or multiple of 360. | drfrost.org/explorer.php?ssid=5033 | ||
| 131h | Secondary, Primary | Determine the percentage represented by a sector of a pie chart, given angle measures (factors of 360). | drfrost.org/explorer.php?ssid=5034 | ||
| 131i | Secondary, Primary | Interpret the frequency represented a sector in a pie chart, using percentages. | drfrost.org/explorer.php?ssid=5035 | ||
| 131j | Secondary, Primary | Compare sectors of two pie charts, given the fraction or percentage of the sector and a total. | drfrost.org/explorer.php?ssid=5036 | ||
| 132 | Secondary, Primary | Exam Practice: Mean as an average | drfrost.org/explorer.php?ssid=567 | E132 | |
| 132a | Secondary, Primary | Calculate the mean of listed data. | drfrost.org/explorer.php?ssid=666 | https://www.youtube-nocookie.com/embed/csbfXQk4Jrk | K236 |
| 132b | Secondary, Primary | Determine the total given the mean of a set of data and the total number of data points. | drfrost.org/explorer.php?ssid=5037 | ||
| 132c | Secondary, Primary | Determine a missing number from a list given the mean. | drfrost.org/explorer.php?ssid=5038 | ||
| 132d | Secondary, Primary | Compare two sets of data using the mean. | drfrost.org/explorer.php?ssid=8500 | ||
| 133 | Secondary, Primary | Exam Practice: Function machines | drfrost.org/explorer.php?ssid=410 | https://www.youtube-nocookie.com/embed/ztobXGrpdyQ | E133 |
| 133a | Secondary, Primary | Calculate the output of a one-step function machine. | drfrost.org/explorer.php?ssid=8689 | https://www.youtube-nocookie.com/embed/iQXj4XK6KaM | |
| 133b | Secondary, Primary | Calculate the input of a one-step function machine. | drfrost.org/explorer.php?ssid=8690 | https://www.youtube-nocookie.com/embed/JJKMlsWn74E | |
| 133c | Secondary, Primary | Determine a missing operation in a one-step function machine. | drfrost.org/explorer.php?ssid=8691 | https://www.youtube-nocookie.com/embed/jg_LTAL9KQg | |
| 133d | Secondary, Primary | Calculate the output of a two-step function machine. | drfrost.org/explorer.php?ssid=759 | https://www.youtube-nocookie.com/embed/EevJEWEryus | K365 |
| 133e | Secondary, Primary | Calculate the input of a two-step function machine. | drfrost.org/explorer.php?ssid=760 | https://www.youtube-nocookie.com/embed/hzAmsrm9toM | K366 |
| 133f | Secondary, Primary | Determine a missing operation in a two-step function machine. | drfrost.org/explorer.php?ssid=2224 | https://www.youtube-nocookie.com/embed/8a362cUFhEc | |
| 134 | Secondary, Primary | Exam Practice: Algebraic thinking | drfrost.org/explorer.php?ssid=373 | E134 | |
| 134a | Secondary, Primary | Determine possible values for items given some constraints (no algebraic notation). | drfrost.org/explorer.php?ssid=5039 | ||
| 134b | Secondary, Primary | Determine possible values for items given a relationship between them (no algebraic notation). | drfrost.org/explorer.php?ssid=5040 | ||
| 134c | Secondary, Primary | Determine possible values of variables given some constraints (with algebraic notation). | drfrost.org/explorer.php?ssid=5041 | ||
| 134d | Secondary, Primary | Determine possible values of variables given a relationship (with algebraic notation). | drfrost.org/explorer.php?ssid=5042 | ||
| 134e | Secondary, Primary | Determine missing numbers in a 3\times3 magic square. | drfrost.org/explorer.php?ssid=5043 | ||
| 134f | Secondary, Primary | Work out missing numbers in a structure with overlapping lines. | drfrost.org/explorer.php?ssid=5044 | ||
| 134g | Secondary, Primary | Reason about moves in a game involving placement of pieces in a structure. | drfrost.org/explorer.php?ssid=8842 | ||
| 135 | Secondary, Primary | Exam Practice: Introduction to sequences | drfrost.org/explorer.php?ssid=4227 | E135 | |
| 135a | Secondary, Primary | Describe patterns with 2D shapes. | drfrost.org/explorer.php?ssid=5045 | ||
| 135b | Secondary, Primary | Complete patterns with 2D shapes. | drfrost.org/explorer.php?ssid=5046 | ||
| 135c | Secondary, Primary | Describe a given number pattern. | drfrost.org/explorer.php?ssid=5047 | ||
| 135d | Secondary, Primary | Continue a given number pattern. | drfrost.org/explorer.php?ssid=5048 | ||
| 136 | Secondary, Primary | Exam Practice: Basic substitution with positive integers (limited to addition, subtraction, division and multiplication) | drfrost.org/explorer.php?ssid=568 | E136 | |
| 136a | Secondary, Primary | Substitute positive integers into expressions with one variable (single operation). | drfrost.org/explorer.php?ssid=706 | https://www.youtube-nocookie.com/embed/pV8wWhLq1hU | K136 |
| 136b | Secondary, Primary | Substitute positive integers into expressions with one variable (single operation plus constant). | drfrost.org/explorer.php?ssid=1302 | https://www.youtube-nocookie.com/embed/F472MujeUl4 | K137 |
| 136c | Secondary, Primary | Substitute positive integers into simple expressions with more than one variable. | drfrost.org/explorer.php?ssid=5049 | ||
| 136d | Secondary, Primary | Substitute positive integers into a simple worded formula. | drfrost.org/explorer.php?ssid=5050 | ||
| 136e | Secondary, Primary | Determine the value of a variable given an equation and the value of one variable within it. | drfrost.org/explorer.php?ssid=5051 | ||
| 137 | Secondary, Primary | Exam Practice: Drawing 2D shapes to scale given dimensions and angles | drfrost.org/explorer.php?ssid=4228 | E137 | |
| 137a | Secondary, Primary | Draw a rectangle or square given the side lengths using a ruler. | drfrost.org/explorer.php?ssid=5052 | ||
| 137b | Secondary, Primary | Draw a square or rectangle given its perimeter. | drfrost.org/explorer.php?ssid=5053 | ||
| 137c | Secondary, Primary | Draw a triangle given the side lengths and angles, using a ruler and protractor. | drfrost.org/explorer.php?ssid=5054 | ||
| 137d | Secondary, Primary | Draw a regular polygon given its side lengths and the angle between them. | drfrost.org/explorer.php?ssid=5055 | ||
| 138 | Secondary, Primary | Exam Practice: Area of a rectangle by using the formula | drfrost.org/explorer.php?ssid=573 | E138 | |
| 138a | Secondary, Primary | Calculate the area of a rectangle. | drfrost.org/explorer.php?ssid=664 | https://www.youtube-nocookie.com/embed/woMfkfjdM48 | K114 |
| 138b | Secondary, Primary | Calculate the area of a square. | drfrost.org/explorer.php?ssid=8583 | ||
| 138c | Secondary, Primary | Calculate a side of a rectangle given its area. | drfrost.org/explorer.php?ssid=665 | https://www.youtube-nocookie.com/embed/ZBAGUx4ZHU0 | K115 |
| 138d | Secondary, Primary | Calculate a side of a square given its area. | drfrost.org/explorer.php?ssid=8584 | ||
| 138e | Secondary, Primary | Determine the perimeter of a rectangle given its area and one side length. | drfrost.org/explorer.php?ssid=5056 | ||
| 138f | Secondary, Primary | Determine the perimeter of a square given its area. | drfrost.org/explorer.php?ssid=8585 | ||
| 138g | Secondary, Primary | Determine the whole number of small rectangles that can fit exactly within a larger one. | drfrost.org/explorer.php?ssid=5057 | ||
| 138h | Secondary, Primary | Determine an area given a perimeter of a rectangle or square. | drfrost.org/explorer.php?ssid=5058 | ||
| 138i | Secondary, Primary | Calculate a cost based on the area of a rectangle. | drfrost.org/explorer.php?ssid=5059 | ||
| 138j | Secondary, Primary | Determine a length in a composite rectangular shape using its area. | drfrost.org/explorer.php?ssid=8843 | ||
| 138k | Secondary, Primary | Solve problems involving tiling congruent rectangles within a larger rectangle. | drfrost.org/explorer.php?ssid=8601 | ||
| 139 | Secondary, Primary | Exam Practice: Area of a parallelogram | drfrost.org/explorer.php?ssid=585 | E139 | |
| 139a | Secondary, Primary | Calculate the area of a parallelogram. | drfrost.org/explorer.php?ssid=672 | https://www.youtube-nocookie.com/embed/KpXQCmah_oQ | K296 |
| 139b | Secondary, Primary | Calculate the area of a parallelogram requiring subtraction of lengths. | drfrost.org/explorer.php?ssid=2176 | ||
| 139c | Secondary, Primary | Calculate the base or height of a parallelogram given its area. | drfrost.org/explorer.php?ssid=673 | https://www.youtube-nocookie.com/embed/KPOSxpf2TiA | K297 |
| 139d | Secondary, Primary | Calculate the area of a parallelogram given the base, the height and another length. | drfrost.org/explorer.php?ssid=1257 | K298 | |
| 140 | Secondary, Primary | Exam Practice: Area of a triangle | drfrost.org/explorer.php?ssid=124 | https://www.youtube-nocookie.com/embed/DYZfxwCXMgA | E140 |
| 140a | Secondary, Primary | Find the area of a triangle. | drfrost.org/explorer.php?ssid=670 | https://www.youtube-nocookie.com/embed/5LfNOCcQdZ8 | K119 |
| 140b | Secondary, Primary | Find the base or height of a triangle given its area. | drfrost.org/explorer.php?ssid=671 | https://www.youtube-nocookie.com/embed/42cZch-B9kw | K120 |
| 140c | Secondary, Primary | Find the area of a triangle given the base, the height and another length. | drfrost.org/explorer.php?ssid=1252 | K121 | |
| 141 | Primary, Primary | Exam Practice: Basic terms in relation to circles | drfrost.org/explorer.php?ssid=564 | E141 | |
| 141a | Primary, Primary | Identify the radius, diameter and circumference of a circle. | drfrost.org/explorer.php?ssid=2119 | ||
| 141b | Primary, Primary | Understand the relationship between the radius and diameter of a circle. | drfrost.org/explorer.php?ssid=2120 | ||
| 141c | Primary, Primary | Recognise semicircles and quarter circles. | drfrost.org/explorer.php?ssid=5060 | ||
| 142 | Secondary, Primary | Exam Practice: Properties of prisms and cylinders | drfrost.org/explorer.php?ssid=4229 | E142 | |
| 142a | Secondary, Primary | Recognise and name prisms and cylinders. | drfrost.org/explorer.php?ssid=5061 | ||
| 142b | Secondary, Primary | Understand properties of prisms and cylinders. | drfrost.org/explorer.php?ssid=5062 | ||
| 143 | Secondary, Primary | Exam Practice: Nets of 3D shapes | drfrost.org/explorer.php?ssid=563 | E143 | |
| 143a | Secondary, Primary | Identify a 3D shape from its net. | drfrost.org/explorer.php?ssid=1116 | K336 | |
| 143b | Secondary, Primary | Identify a net from a given 3D shape. | drfrost.org/explorer.php?ssid=5063 | ||
| 143c | Secondary, Primary | Determine the number of edges, faces and vertices of a 3D shape given its net. | drfrost.org/explorer.php?ssid=1473 | K337 | |
| 143d | Secondary, Primary | Draw an accurate net of a cuboid. | drfrost.org/explorer.php?ssid=8789 | ||
| 143e | Secondary, Primary | Draw an accurate net of a prism. | drfrost.org/explorer.php?ssid=8790 | ||
| 144 | Secondary, Primary | Exam Practice: Volume of rectilinear prisms using unit length blocks | drfrost.org/explorer.php?ssid=4230 | E144 | |
| 144a | Secondary, Primary | Determine the volume of a cuboid by counting cubes. | drfrost.org/explorer.php?ssid=1284 | https://www.youtube-nocookie.com/embed/KnE4QtCABxE | K310 |
| 144b | Secondary, Primary | Determine the volume of prism with rectilinear cross-section by counting cubes. | drfrost.org/explorer.php?ssid=5064 | ||
| 145 | Secondary, Primary | Exam Practice: Volume of a cube or cuboid | drfrost.org/explorer.php?ssid=114 | https://www.youtube-nocookie.com/embed/6s288k0rDbc | E145 |
| 145a | Secondary, Primary | Calculate the volume of a cuboid. | drfrost.org/explorer.php?ssid=675 | https://www.youtube-nocookie.com/embed/YieuL7PsKLA | K311 |
| 145b | Secondary, Primary | Calculate the volume of a cube. | drfrost.org/explorer.php?ssid=5065 | ||
| 145c | Secondary, Primary | Calculate the volume of a cuboid from its net. | drfrost.org/explorer.php?ssid=8806 | ||
| 146 | Secondary | Exam Practice: Platonic solids | drfrost.org/explorer.php?ssid=4231 | E146 | |
| 146a | Secondary | Know the definition of a Platonic solid and recognise the 5 such solids. | drfrost.org/explorer.php?ssid=5066 | ||
| 146b | Secondary | Determine the number of vertices, faces of edges of a Platonic solid. | drfrost.org/explorer.php?ssid=5067 | ||
| 147 | Secondary, Primary | Exam Practice: Vertically opposite angles | drfrost.org/explorer.php?ssid=565 | E147 | |
| 147a | Secondary, Primary | Identify a vertically opposite angle. | drfrost.org/explorer.php?ssid=637 | https://www.youtube-nocookie.com/embed/H2B9ZzissmM | K307 |
| 147b | Secondary, Primary | Use vertically opposite angles and angles on a straight line or around a point to find a missing angle. | drfrost.org/explorer.php?ssid=5068 | https://www.youtube-nocookie.com/embed/aOT1-08GJr8 | |
| 148 | Secondary, Primary | Exam Practice: Properties of triangle lengths | drfrost.org/explorer.php?ssid=4232 | E148 | |
| 148a | Secondary, Primary | Use the triangle inequality to reason about the lengths of sides of a triangle. | drfrost.org/explorer.php?ssid=5069 | ||
| 148b | Secondary, Primary | Use the angle-side relationship to order the side lengths or angles of a triangle. | drfrost.org/explorer.php?ssid=5070 | ||
| 149 | Secondary, Primary | Exam Practice: Sum of angles in a triangle | drfrost.org/explorer.php?ssid=118 | https://www.youtube-nocookie.com/embed/7Q3cDMkz9HE | E149 |
| 149a | Secondary, Primary | Know the properties of angles in a triangle. | drfrost.org/explorer.php?ssid=655 | https://www.youtube-nocookie.com/embed/ogicOXBVSaY | K107 |
| 149b | Secondary, Primary | Know the interior angle of an equilateral triangle. | drfrost.org/explorer.php?ssid=8920 | ||
| 149c | Secondary, Primary | Use the exterior angle property of a triangle with an extended side. | drfrost.org/explorer.php?ssid=1262 | https://www.youtube-nocookie.com/embed/SQfW6mqHJ58 | K108 |
| 149d | Secondary, Primary | Use two extended sides of a triangle to determine an angle. | drfrost.org/explorer.php?ssid=5071 | https://www.youtube-nocookie.com/embed/Jun6a_RJOgI | |
| 149e | Secondary, Primary | Combine angles in a triangle with angles around a point, vertically opposite angles and extended sides. | drfrost.org/explorer.php?ssid=5072 | https://www.youtube-nocookie.com/embed/2ZXL2jEs7RY | |
| 150 | Secondary, Primary | Exam Practice: Base angles of an isosceles triangle | drfrost.org/explorer.php?ssid=158 | https://www.youtube-nocookie.com/embed/1GuKEZj1PyY | E150 |
| 150a | Secondary, Primary | Determine an angle in an isosceles triangle given one of the other angles. | drfrost.org/explorer.php?ssid=654 | https://www.youtube-nocookie.com/embed/uzQqnG5BWaU | K301 |
| 150b | Secondary, Primary | Determine an angle in a diagram involving an isosceles triangle with an extended side. | drfrost.org/explorer.php?ssid=1900 | https://www.youtube-nocookie.com/embed/eTq6JZn8mvo | |
| 150c | Secondary, Primary | Determine an angle using multiple angle laws in a diagram that involves an isosceles triangle. | drfrost.org/explorer.php?ssid=1899 | https://www.youtube-nocookie.com/embed/F4mu1av1EZc | |
| 151 | Secondary, Primary | Exam Practice: Sum of angles in a quadrilateral | drfrost.org/explorer.php?ssid=121 | https://www.youtube-nocookie.com/embed/v34sVtg3J5o | E151 |
| 151a | Secondary, Primary | Determine an angle in a quadrilateral given its other angles. | drfrost.org/explorer.php?ssid=967 | https://www.youtube-nocookie.com/embed/1GPG7qrzIyI | K309 |
| 151b | Secondary, Primary | Determine an angle involving a quadrilateral with an extended side. | drfrost.org/explorer.php?ssid=2248 | https://www.youtube-nocookie.com/embed/CYH8_YEi4rM | |
| 151c | Secondary, Primary | Determine an angle in a kite. | drfrost.org/explorer.php?ssid=2264 | https://www.youtube-nocookie.com/embed/2gwFbJTbTlQ | |
| 151d | Secondary, Primary | Determine an angle using multiple angle laws in a diagram that involves a quadrilateral. | drfrost.org/explorer.php?ssid=2265 | https://www.youtube-nocookie.com/embed/iVTjniixMWg | |
| 152 | Secondary, Primary | Exam Practice: Coordinates in all four quadrants | drfrost.org/explorer.php?ssid=4233 | E152 | |
| 152a | Secondary, Primary | Plot a point to complete a shape in any quadrant. | drfrost.org/explorer.php?ssid=1936 | ||
| 152b | Secondary, Primary | Determine the coordinate of a point in any quadrant. | drfrost.org/explorer.php?ssid=856 | https://www.youtube-nocookie.com/embed/lQl4ychwhAI | K124 |
| 152c | Secondary, Primary | Plot a point in any quadrant given its coordinates. | drfrost.org/explorer.php?ssid=845 | https://www.youtube-nocookie.com/embed/nC-nfkCZeqY | K125 |
| 152d | Secondary, Primary | Determine a coordinate on the x or y axis horizontal or vertical from another point. | drfrost.org/explorer.php?ssid=1962 | ||
| 152e | Secondary, Primary | Use a scale to find the distance between two points with the same x- or y-coordinate in any quadrants. | drfrost.org/explorer.php?ssid=5073 | ||
| 152f | Secondary, Primary | Use a scale to find the horizontal or vertical distance between any two points in any quadrants. | drfrost.org/explorer.php?ssid=5074 | ||
| 152g | Secondary, Primary | Determine the coordinates of a vertex of a rectangle, given two other points. | drfrost.org/explorer.php?ssid=1969 | ||
| 152h | Secondary, Primary | Determine the coordinates of a vertex of a square, rectangle or parallelogram, given the 3 other coordinates. | drfrost.org/explorer.php?ssid=1307 | https://www.youtube-nocookie.com/embed/1qcmi4f5JL4 | K126 |
| 152i | Secondary, Primary | Draw a line parallel to another through a given point. | drfrost.org/explorer.php?ssid=8801 | ||
| 152j | Secondary, Primary | Draw a line perpendicular to another through a given point. | drfrost.org/explorer.php?ssid=8802 | ||
| 152k | Secondary, Primary | Problem solve with coordinates involving reflections or symmetry or shapes. | drfrost.org/explorer.php?ssid=2020 | ||
| 152l | Secondary, Primary | Problem solve with coordinates and translated shapes. | drfrost.org/explorer.php?ssid=2048 | ||
| 152m | Secondary, Primary | Problem solve with coordinates and congruent rectangles with a connection at a single point. | drfrost.org/explorer.php?ssid=2086 | ||
| 152n | Secondary, Primary | Problem solve with coordinates involving repeated congruent shapes with a shared side length. | drfrost.org/explorer.php?ssid=2087 | ||
| 152o | Secondary, Primary | Problem solve with coordinates involving repeated congruent shapes along a shared axis. | drfrost.org/explorer.php?ssid=2088 | ||
| 153 | Secondary, Primary | Exam Practice: Reflecting a shape on axes using a given mirror line | drfrost.org/explorer.php?ssid=566 | E153 | |
| 153a | Secondary, Primary | Reflect a shape in the x or y axes. | drfrost.org/explorer.php?ssid=1370 | https://www.youtube-nocookie.com/embed/rss8WsmX-RY | K275 |
| 153b | Secondary, Primary | Reflect a shape against a vertical or horizontal line drawn on axes. | drfrost.org/explorer.php?ssid=1280 | https://www.youtube-nocookie.com/embed/sxI_O6pZcis | K273 |
| 153c | Secondary, Primary | Reflect a shape against a diagonal line drawn on axes. | drfrost.org/explorer.php?ssid=851 | https://www.youtube-nocookie.com/embed/9xtnxNQ8jog | K274 |
| 154 | Secondary, Primary | Exam Practice: Translating a shape on axes using directional language | drfrost.org/explorer.php?ssid=556 | E154 | |
| 154a | Secondary, Primary | Translate a shape on axes using directional language. | drfrost.org/explorer.php?ssid=1371 | https://www.youtube-nocookie.com/embed/j9vQtIqYYpM | K279 |
| 154b | Secondary, Primary | Describe a translation on axes using directional language. | drfrost.org/explorer.php?ssid=5075 | ||
| 155 | Secondary | Exam Practice: Adding or subtracting a mixture of positive and negative numbers | drfrost.org/explorer.php?ssid=1 | https://www.youtube-nocookie.com/embed/pDjBuX8qgy0 | E155 |
| 155a | Secondary | Use x and -x as additive inverses. | drfrost.org/explorer.php?ssid=5077 | ||
| 155b | Secondary | Add a negative integer to a positive integer, using counters to support. | drfrost.org/explorer.php?ssid=8710 | ||
| 155c | Secondary | Add a positive integer to a negative integer, using counters to support. | drfrost.org/explorer.php?ssid=8711 | ||
| 155d | Secondary | Add a negative integer to a negative integer, using counters to support. | drfrost.org/explorer.php?ssid=8712 | ||
| 155e | Secondary | Rewrite a subtraction as an addition of the additive inverse. | drfrost.org/explorer.php?ssid=8718 | ||
| 155f | Secondary | Subtract two positive numbers resulting in a negative answer, using counters to support. | drfrost.org/explorer.php?ssid=8713 | ||
| 155g | Secondary | Subtract a positive integer from a negative integer, using counters to support. | drfrost.org/explorer.php?ssid=8714 | ||
| 155h | Secondary | Subtract a negative integer from a positive integer, using counters to support. | drfrost.org/explorer.php?ssid=8715 | ||
| 155i | Secondary | Subtract a negative integer from a negative integer, using counters to support. | drfrost.org/explorer.php?ssid=8716 | ||
| 155j | Secondary | Add a negative integer to any positive integer. | drfrost.org/explorer.php?ssid=5076 | ||
| 155k | Secondary | Add a positive integer to any negative integer. | drfrost.org/explorer.php?ssid=1391 | https://www.youtube-nocookie.com/embed/2DjCOmkisII | K187 |
| 155l | Secondary | Add a negative integer to any negative integer. | drfrost.org/explorer.php?ssid=698 | https://www.youtube-nocookie.com/embed/YE-pO1JNH74 | K189 |
| 155m | Secondary | Subtract two positive numbers resulting in a negative answer. | drfrost.org/explorer.php?ssid=8375 | ||
| 155n | Secondary | Subtract a positive integer from any negative integer. | drfrost.org/explorer.php?ssid=699 | https://www.youtube-nocookie.com/embed/NLwnmlIQH8g | K188 |
| 155o | Secondary | Subtract a negative integer from any positive integer. | drfrost.org/explorer.php?ssid=700 | https://www.youtube-nocookie.com/embed/oiBUV1_pinA | K190 |
| 155p | Secondary | Subtract a negative integer from any negative integer. | drfrost.org/explorer.php?ssid=5078 | ||
| 155q | Secondary | Determine a missing number in an addition or subtraction with one or more negative numbers. | drfrost.org/explorer.php?ssid=5079 | ||
| 155r | Secondary | Add and subtract more than two positive and negative numbers. | drfrost.org/explorer.php?ssid=5080 | ||
| 155s | Secondary | Add decimal numbers where one or both are negative. | drfrost.org/explorer.php?ssid=5081 | ||
| 155t | Secondary | Subtract decimal numbers where one or both are negative. | drfrost.org/explorer.php?ssid=5082 | ||
| 155u | Secondary | Add fractions where one or both are negative. | drfrost.org/explorer.php?ssid=5083 | ||
| 155v | Secondary | Subtract fractions where one or both are negative. | drfrost.org/explorer.php?ssid=5084 | ||
| 156 | Secondary | Exam Practice: Multiplying or dividing a mixture of positive and negative numbers | drfrost.org/explorer.php?ssid=2 | https://www.youtube-nocookie.com/embed/S-UEdTAe1-w | E156 |
| 156a | Secondary | Multiply a positive integer and a negative integer. | drfrost.org/explorer.php?ssid=701 | https://www.youtube-nocookie.com/embed/qWMYcpmeZeo | K191 |
| 156b | Secondary | Multiply two negative integers. | drfrost.org/explorer.php?ssid=5085 | ||
| 156c | Secondary | Divide a positive integer and a negative integer. | drfrost.org/explorer.php?ssid=702 | https://www.youtube-nocookie.com/embed/XwXpMezXqEY | K192 |
| 156d | Secondary | Divide two negative integers. | drfrost.org/explorer.php?ssid=5086 | ||
| 156e | Secondary | Determine a missing number in a multiplication or division with one or more negative numbers. | drfrost.org/explorer.php?ssid=5087 | ||
| 156f | Secondary | Complete a multiplication grid involving negative integers. | drfrost.org/explorer.php?ssid=5088 | ||
| 156g | Secondary | Multiply decimal numbers where one or both are negative. | drfrost.org/explorer.php?ssid=5089 | ||
| 156h | Secondary | Multiply fractions where one or both are negative. | drfrost.org/explorer.php?ssid=5090 | ||
| 156i | Secondary | Divide decimal numbers where one or both are negative. | drfrost.org/explorer.php?ssid=5091 | ||
| 156j | Secondary | Divide fractions where one or both are negative. | drfrost.org/explorer.php?ssid=5092 | ||
| 156k | Secondary | Determine two whole numbers which have a certain sum and a certain product, where at least one of the numbers is negative. | drfrost.org/explorer.php?ssid=5093 | ||
| 156l | Secondary | Multiply or divide more than two positive and negative numbers. | drfrost.org/explorer.php?ssid=5094 | ||
| 156m | Secondary | Calculate expressions involving negative numbers using order of operations (no powers or roots). | drfrost.org/explorer.php?ssid=5095 | ||
| 156n | Secondary | Calculate the number halfway between a positive and a negative number. | drfrost.org/explorer.php?ssid=5096 | ||
| 156o | Secondary | Calculate the number halfway between two negative numbers. | drfrost.org/explorer.php?ssid=5097 | ||
| 156p | Secondary | Determine a number given another and their midpoint, where at least one is negative. | drfrost.org/explorer.php?ssid=5098 | ||
| 157 | Secondary | Exam Practice: Roots and further powers | drfrost.org/explorer.php?ssid=60 | https://www.youtube-nocookie.com/embed/uDgwcgnTtao | E157 |
| 157a | Secondary | Recognise powers of 2, 3, 4, 5 and 10. | drfrost.org/explorer.php?ssid=5099 | ||
| 157b | Secondary | Calculate an integer power of an integer which is possibly negative. | drfrost.org/explorer.php?ssid=1350 | K441 | |
| 157c | Secondary | Find a square root of a square number. | drfrost.org/explorer.php?ssid=1164 | https://www.youtube-nocookie.com/embed/31WNK25NnFI | K19 |
| 157d | Secondary | Estimate the square root of a non-square number. | drfrost.org/explorer.php?ssid=5100 | ||
| 157e | Secondary | Find the cube root of a cube number. | drfrost.org/explorer.php?ssid=1165 | https://www.youtube-nocookie.com/embed/6ShneYYJ038 | K20 |
| 157f | Secondary | Find the square or cube root of any number using a calculator. | drfrost.org/explorer.php?ssid=8719 | ||
| 157g | Secondary | Calculate the nth root of an integer for n \ge 4 | drfrost.org/explorer.php?ssid=5101 | ||
| 157h | Secondary | Calculate expressions involving roots and powers using order of operations. | drfrost.org/explorer.php?ssid=5102 | ||
| 157i | Secondary | Determine the unknown power in an expression involving positive indices, given its numeric equivalent. | drfrost.org/explorer.php?ssid=5103 | ||
| 157j | Secondary | Determine the unknown base in an expression involving positive indices, given its numeric equivalent. | drfrost.org/explorer.php?ssid=5104 | ||
| 158 | Secondary | Exam Practice: Numerical index laws (basic) | drfrost.org/explorer.php?ssid=56 | https://www.youtube-nocookie.com/embed/Z_WCKeO-liY | E158 |
| 158a | Secondary | Use laws of indices for multiplying powers with numeric bases. | drfrost.org/explorer.php?ssid=645 | https://www.youtube-nocookie.com/embed/oodzA4Qqn-I | K432 |
| 158b | Secondary | Use laws of indices for dividing powers with numeric bases. | drfrost.org/explorer.php?ssid=646 | https://www.youtube-nocookie.com/embed/yUKJi5ZTFhY | K433 |
| 158c | Secondary | Use laws of indices for raising a power to a power with a numeric base. | drfrost.org/explorer.php?ssid=647 | https://www.youtube-nocookie.com/embed/hGXRddq5Owk | K434 |
| 158d | Secondary | Use laws of indices for both multiplying and dividing powers. | drfrost.org/explorer.php?ssid=5105 | ||
| 158e | Secondary | Use laws of indices for multiplying, dividing and power of a power. | drfrost.org/explorer.php?ssid=8602 | ||
| 158f | Secondary | Raise a number to the power of 0. | drfrost.org/explorer.php?ssid=5106 | ||
| 158g | Secondary | Determine the unknown power in an expression involving index laws. | drfrost.org/explorer.php?ssid=5107 | ||
| 158h | Secondary | Determine the base in an expression involving index laws with positive indices, given its numeric equivalent. | drfrost.org/explorer.php?ssid=5108 | ||
| 159 | Secondary | Exam Practice: Reciprocals | drfrost.org/explorer.php?ssid=4234 | E159 | |
| 159a | Secondary | Understand reciprocals as multiplicative inverses. | drfrost.org/explorer.php?ssid=5109 | ||
| 159b | Secondary | Calculate the reciprocal of an integer. | drfrost.org/explorer.php?ssid=5110 | ||
| 159c | Secondary | Calculate the reciprocal of a unit fraction. | drfrost.org/explorer.php?ssid=5111 | ||
| 159d | Secondary | Calculate the reciprocal of a general fraction. | drfrost.org/explorer.php?ssid=5112 | ||
| 159e | Secondary | Calculate the reciprocal of a mixed number. | drfrost.org/explorer.php?ssid=5113 | ||
| 159f | Secondary | Calculate the reciprocal of a decimal. | drfrost.org/explorer.php?ssid=1941 | ||
| 160 | Secondary | Exam Practice: Using a scientific calculator | drfrost.org/explorer.php?ssid=331 | E160 | |
| 160a | Secondary | Use a calculator to determine the value of calculations using basic arithmetic operations, potentially including brackets. | drfrost.org/explorer.php?ssid=5114 | ||
| 160b | Secondary | Use a calculator to determine the value of calculations involving a square or square root. | drfrost.org/explorer.php?ssid=5115 | ||
| 160c | Secondary | Use a calculator to determine the value of calculations involving powers greater than 2. | drfrost.org/explorer.php?ssid=5116 | ||
| 160d | Secondary | Use a calculator to determine the value of a calculation involving fractions. | drfrost.org/explorer.php?ssid=5117 | ||
| 160e | Secondary | Use a calculator to determine the value of complex calculations involving cube or other nth roots | drfrost.org/explorer.php?ssid=5118 | ||
| 161 | Secondary | Exam Practice: Prime factorisation of a number | drfrost.org/explorer.php?ssid=26 | https://www.youtube-nocookie.com/embed/c6Q3Tor_22w | E161 |
| 161a | Secondary | Write a number below 100 as the product of its prime factors. | drfrost.org/explorer.php?ssid=606 | https://www.youtube-nocookie.com/embed/wngb2azw1lY | K215 |
| 161b | Secondary | Write a number over 100 as the product of its prime factors. | drfrost.org/explorer.php?ssid=1864 | https://www.youtube-nocookie.com/embed/SK7SfoiqlSA | |
| 161c | Secondary | Write a product as the product of its prime factors. | drfrost.org/explorer.php?ssid=1692 | https://www.youtube-nocookie.com/embed/SNhP0_pvgsQ | |
| 161d | Secondary | Write a product as the product of its prime factors, where some powers are algebraic. | drfrost.org/explorer.php?ssid=1874 | https://www.youtube-nocookie.com/embed/h0jsRa5uVJ4 | |
| 162 | Secondary | Exam Practice: Lowest Common Multiple or Highest Common Factor by prime factorisation | drfrost.org/explorer.php?ssid=28 | https://www.youtube-nocookie.com/embed/WRN1LJDcQ-I | E162 |
| 162a | Secondary | Determine the HCF of two numbers which are already prime factorised. | drfrost.org/explorer.php?ssid=775 | https://www.youtube-nocookie.com/embed/vO30opV_ItE | K217 |
| 162b | Secondary | Determine the LCM of two numbers which are already prime factorised. | drfrost.org/explorer.php?ssid=776 | https://www.youtube-nocookie.com/embed/uIOKEnQeoCE | K220 |
| 162c | Secondary | Determine the Highest Common Factor (HCF) of 2 numbers by prime factorising. | drfrost.org/explorer.php?ssid=607 | https://www.youtube-nocookie.com/embed/vO30opV_ItE | K218 |
| 162d | Secondary | Determine the Lowest Common Multiple (LCM) of 2 numbers by prime factorising. | drfrost.org/explorer.php?ssid=608 | https://www.youtube-nocookie.com/embed/uIOKEnQeoCE | K221 |
| 162e | Secondary | Determine the Highest Common Factor (HCF) of more than 2 numbers by prime factorising. | drfrost.org/explorer.php?ssid=5119 | ||
| 162f | Secondary | Determine the Lowest Common Multiple (LCM) of more than 2 numbers by prime factorising. | drfrost.org/explorer.php?ssid=5120 | ||
| 162g | Secondary | Write a fraction in simplest form by prime factorisation to find the HCF. | drfrost.org/explorer.php?ssid=8316 | ||
| 162h | Secondary | Determine the HCF of two or more algebraic expressions. | drfrost.org/explorer.php?ssid=1567 | K747 | |
| 162i | Secondary | Determine the LCM of two or more algebraic expressions. | drfrost.org/explorer.php?ssid=1568 | K748 | |
| 162j | Secondary | Solve problems involving LCM and HCF where one or more of the numbers is unknown. | drfrost.org/explorer.php?ssid=5121 | ||
| 163 | Secondary | Exam Practice: Divisibility laws from 3 to 11 and dealing with larger divisors | drfrost.org/explorer.php?ssid=30 | E163 | |
| 163a | Secondary | Know if a number is divisible by 2, 3, 4, 5, 6, 8, 9 or 10. | drfrost.org/explorer.php?ssid=1607 | https://www.youtube-nocookie.com/embed/dDGN8NkD1bA | |
| 163b | Secondary | Know if a number is divisible by 11. | drfrost.org/explorer.php?ssid=1608 | https://www.youtube-nocookie.com/embed/RBVFmzNAFRs | |
| 163c | Secondary | Determine an unknown digit to make a number divisible by 3, 4, 6, 8 or 9. | drfrost.org/explorer.php?ssid=2051 | https://www.youtube-nocookie.com/embed/DJfFFsA9JHY | |
| 163d | Secondary | Know if a number is divisible by a large number by combining divisibility rules. | drfrost.org/explorer.php?ssid=5122 | https://www.youtube-nocookie.com/embed/y19Chqeew9M | |
| 164 | Secondary | Exam Practice: Properties of a number based on its prime factorisation (e.g. identify factors, if it is square, trailing zeroes) | drfrost.org/explorer.php?ssid=31 | E164 | |
| 164a | Secondary | Identify specific factors of a number expressed as a product of powers. | drfrost.org/explorer.php?ssid=5123 | ||
| 164b | Secondary | Know the properties of the prime factorisation of a square or cube number. | drfrost.org/explorer.php?ssid=5124 | ||
| 164c | Secondary | Work out the number of digits of a number or the number of trailing zeroes where the number is expressed as a product of factors. | drfrost.org/explorer.php?ssid=5125 | ||
| 164d | Secondary | Identify the number of factors of a number by using its prime factorisation. | drfrost.org/explorer.php?ssid=5126 | ||
| 165 | Secondary | Exam Practice: Multiplying proper fractions requiring simplification | drfrost.org/explorer.php?ssid=582 | E165 | |
| 165a | Secondary | Multiply a fraction by a fraction, requiring simplification. | drfrost.org/explorer.php?ssid=598 | https://www.youtube-nocookie.com/embed/wvRIN7Z_jns | K173 |
| 165b | Secondary | Square and square root fractions. | drfrost.org/explorer.php?ssid=1507 | K711 | |
| 165c | Secondary | Calculate an integer power of a fraction which is possibly negative. | drfrost.org/explorer.php?ssid=1386 | K442 | |
| 165d | Secondary | Combine fractions to determine the fraction of a whole represented by a subgroup. | drfrost.org/explorer.php?ssid=5127 | ||
| 165e | Secondary | Multiply fractions by a quantity to compare against a total capacity. | drfrost.org/explorer.php?ssid=5128 | ||
| 166 | Secondary | Exam Practice: Dividing proper fractions | drfrost.org/explorer.php?ssid=583 | E166 | |
| 166a | Secondary | Divide a fraction by a fraction, where no simplification is required. | drfrost.org/explorer.php?ssid=5129 | ||
| 166b | Secondary | Divide a fraction by a fraction, requiring simplification. | drfrost.org/explorer.php?ssid=599 | https://www.youtube-nocookie.com/embed/9JCOv1eTfEM | K175 |
| 166c | Secondary | Divide an integer by a fraction. | drfrost.org/explorer.php?ssid=1465 | K177 | |
| 166d | Secondary | Calculate values involving a mixture of arithmetic operations on fractional values. | drfrost.org/explorer.php?ssid=5130 | ||
| 166e | Secondary | Simplify complex fractions where the numerator and denominator are both fractions. | drfrost.org/explorer.php?ssid=5131 | ||
| 166f | Secondary | Simplify complex fractions where the numerator or denominator has an addition or subtraction of fractions. | drfrost.org/explorer.php?ssid=8508 | ||
| 166g | Secondary | Simplify complex fractions where the numerator has an multiplication of fractions. | drfrost.org/explorer.php?ssid=8509 | ||
| 167 | Secondary | Exam Practice: Multiplying fractions involving a mixed number | drfrost.org/explorer.php?ssid=20 | https://www.youtube-nocookie.com/embed/wrVlqKtX9rg | E167 |
| 167a | Secondary | Multiply mixed numbers. | drfrost.org/explorer.php?ssid=746 | https://www.youtube-nocookie.com/embed/rAoOeNbih7U | K179 |
| 167b | Secondary | Combine multiplication of fractions with addition/subtraction. | drfrost.org/explorer.php?ssid=5132 | ||
| 168 | Secondary | Exam Practice: Dividing fractions involving a mixed number | drfrost.org/explorer.php?ssid=21 | https://www.youtube-nocookie.com/embed/In5d6yv3Q3Y | E168 |
| 168a | Secondary | Determine the quantity of a unit fraction within a mixed number. | drfrost.org/explorer.php?ssid=1939 | ||
| 168b | Secondary | Divide non-mixed numbers, converting the answer to a mixed number. | drfrost.org/explorer.php?ssid=1940 | ||
| 168c | Secondary | Divide a mixed number by a mixed number. | drfrost.org/explorer.php?ssid=747 | https://www.youtube-nocookie.com/embed/BH9FWoWlNMs | K180 |
| 168d | Secondary | Divide a mixed number by a integer. | drfrost.org/explorer.php?ssid=1389 | https://www.youtube-nocookie.com/embed/Q7L__W6rdtw | K182 |
| 168e | Secondary | Divide mixed numbers in context. | drfrost.org/explorer.php?ssid=2093 | ||
| 168f | Secondary | Calculate the mean of fractional values. | drfrost.org/explorer.php?ssid=2112 | ||
| 169 | Secondary | Exam Practice: Fractional increase and decrease | drfrost.org/explorer.php?ssid=4235 | E169 | |
| 169a | Secondary | Determine an amount after a fractional increase. | drfrost.org/explorer.php?ssid=1824 | https://www.youtube-nocookie.com/embed/OiC1UfOv1CY | |
| 169b | Secondary | Determine an amount after a fractional decrease. | drfrost.org/explorer.php?ssid=5133 | ||
| 170 | Secondary | Exam Practice: Fractional original value problems | drfrost.org/explorer.php?ssid=25 | https://www.youtube-nocookie.com/embed/9jMH9ry_Mks | E170 |
| 170a | Secondary | Determine the amount before a unit fraction of it was taken. | drfrost.org/explorer.php?ssid=1840 | https://www.youtube-nocookie.com/embed/qapRP8-3mx4 | |
| 170b | Secondary | Determine the amount before a fraction of it was taken. | drfrost.org/explorer.php?ssid=1369 | https://www.youtube-nocookie.com/embed/BAOhkg2tcAo | K184 |
| 170c | Secondary | Determine a fraction of an amount given another fraction of that amount. | drfrost.org/explorer.php?ssid=1841 | https://www.youtube-nocookie.com/embed/Hc4zrkYbIl8 | |
| 170d | Secondary | Determine the original amount after a fractional increase or decrease. | drfrost.org/explorer.php?ssid=1842 | https://www.youtube-nocookie.com/embed/C_9CZ8f9qek | |
| 170e | Secondary | Determine a total amount when the amount of a remaining quantity is provided. | drfrost.org/explorer.php?ssid=1844 | https://www.youtube-nocookie.com/embed/HIgacOKpoog | |
| 170f | Secondary | Determine the total number of items to subsequently calculate a dependent amount, e.g. cost or weight. | drfrost.org/explorer.php?ssid=1843 | https://www.youtube-nocookie.com/embed/PA_Cq-5jRhE | |
| 170g | Secondary | Determine the original amount where the difference between two fractions of an amount is given. | drfrost.org/explorer.php?ssid=1845 | https://www.youtube-nocookie.com/embed/hTADmx1WrOo | |
| 170h | Secondary | Solve problems where a single fraction of a quantity is taken combined with some other fixed quantity. | drfrost.org/explorer.php?ssid=1848 | https://www.youtube-nocookie.com/embed/6eHdJESTyV8 | |
| 170i | Secondary | Solve problems where two fractions of amount are taken, when combined with some other fixed quantity. | drfrost.org/explorer.php?ssid=1851 | https://www.youtube-nocookie.com/embed/8fkuXMXouSI | |
| 170j | Secondary | Determine an original amount where a fraction of a fraction or a fraction of a remaining amount is involved. | drfrost.org/explorer.php?ssid=1854 | https://www.youtube-nocookie.com/embed/JKeXAXZHyfI | |
| 171 | Secondary | Exam Practice: Problem solving involving a fraction of an amount | drfrost.org/explorer.php?ssid=4236 | E171 | |
| 171a | Secondary | Determine the amount left given the fractions of an amount in other groups. | drfrost.org/explorer.php?ssid=1911 | ||
| 171b | Secondary | Combine a mixture of fractions of amounts with other amounts. | drfrost.org/explorer.php?ssid=1825 | https://www.youtube-nocookie.com/embed/w2OEktG2fp4 | |
| 171c | Secondary | Determine a fraction of a fraction of an amount. | drfrost.org/explorer.php?ssid=1846 | https://www.youtube-nocookie.com/embed/Xj9xWjvZWck | |
| 171d | Secondary | Combine fractions of amounts from multiple groups. | drfrost.org/explorer.php?ssid=1830 | https://www.youtube-nocookie.com/embed/0dOXKxDVVIg | |
| 171e | Secondary | Determine the total of a physical quantity where costs or weights are assigned to each group. | drfrost.org/explorer.php?ssid=1838 | https://www.youtube-nocookie.com/embed/HDWYcefLiMQ | |
| 171f | Secondary | Problem solve with pay or cost, involving fractions of amounts. | drfrost.org/explorer.php?ssid=1849 | https://www.youtube-nocookie.com/embed/1pPfny_zFn4 | |
| 171g | Secondary | Determine the fraction left after taking a fraction of a remaining amount. | drfrost.org/explorer.php?ssid=1910 | ||
| 172 | Secondary | Exam Practice: Converting between terminating decimals, fractions and percentages less than 100% | drfrost.org/explorer.php?ssid=34 | https://www.youtube-nocookie.com/embed/-qa1yzGSP2Q | E172 |
| 172a | Secondary | Determine what percentage of a shape is shaded for more general grid sizes. | drfrost.org/explorer.php?ssid=1343 | K52 | |
| 172b | Secondary | Convert a fraction to a non-recurring decimal using equivalent fractions and place value. | drfrost.org/explorer.php?ssid=5134 | ||
| 172c | Secondary | Convert a fraction to a percentage, where the denominator is a factor or multiple of 10, 100 or 1000. | drfrost.org/explorer.php?ssid=640 | https://www.youtube-nocookie.com/embed/gQyuE9tERgk | K51 |
| 172d | Secondary | Convert a fraction to a percentage, by use of equivalent fractions. | drfrost.org/explorer.php?ssid=5135 | ||
| 172e | Secondary | Convert a fraction to a non-recurring decimal using division. | drfrost.org/explorer.php?ssid=639 | https://www.youtube-nocookie.com/embed/WgaKzY6cslY | K53 |
| 172f | Secondary | Convert a fraction to a percentage via an equivalent decimal. | drfrost.org/explorer.php?ssid=5136 | ||
| 172g | Secondary | Convert a non-recurring decimal to a fraction. | drfrost.org/explorer.php?ssid=641 | https://www.youtube-nocookie.com/embed/0NaL-F-h86U | K54 |
| 172h | Secondary | Convert a decimal with up to 3 decimal places to a percentage. | drfrost.org/explorer.php?ssid=5137 | ||
| 172i | Secondary | Convert a percentage to a decimal with up to 3 decimal places. | drfrost.org/explorer.php?ssid=5138 | ||
| 172j | Secondary | Convert a percentage to a fraction. | drfrost.org/explorer.php?ssid=644 | https://www.youtube-nocookie.com/embed/UQU442ZJh9I | K57 |
| 173 | Secondary | Exam Practice: Converting from a fraction to a recurring decimal or a percentage | drfrost.org/explorer.php?ssid=35 | https://www.youtube-nocookie.com/embed/O04JAIm5HXY | E173 |
| 173a | Secondary | Convert a fraction to a recurring decimal. | drfrost.org/explorer.php?ssid=1572 | K752 | |
| 173b | Secondary | Recognise common recurring percentages as fractions. | drfrost.org/explorer.php?ssid=5139 | ||
| 174 | Secondary | Exam Practice: Converting between terminating decimals, fractions and percentages greater than 100% | drfrost.org/explorer.php?ssid=4237 | E174 | |
| 174a | Secondary | Convert a decimal with up to 3 decimal places to a percentage greater than 100%. | drfrost.org/explorer.php?ssid=5140 | ||
| 174b | Secondary | Convert a percentage greater than 100% to a decimal with up to 3 decimal places. | drfrost.org/explorer.php?ssid=5141 | ||
| 174c | Secondary | Convert a percentage greater than 100% to a mixed number or improper fraction. | drfrost.org/explorer.php?ssid=5142 | ||
| 174d | Secondary | Convert a mixed number or improper fraction to a non-recurring decimal using division. | drfrost.org/explorer.php?ssid=5143 | ||
| 174e | Secondary | Convert a mixed number or improper fraction to a percentage, by division to a decimal. | drfrost.org/explorer.php?ssid=5144 | ||
| 174f | Secondary | Convert a non-recurring decimal to a mixed number or improper fraction. | drfrost.org/explorer.php?ssid=5145 | ||
| 175 | Secondary | Exam Practice: Comparing and ordering fractions, decimal and percentages | drfrost.org/explorer.php?ssid=378 | E175 | |
| 175a | Secondary | Compare a given decimal and percentage using inequalities. | drfrost.org/explorer.php?ssid=5148 | ||
| 175b | Secondary | Compare a given fraction and decimal using inequalities. | drfrost.org/explorer.php?ssid=5146 | ||
| 175c | Secondary | Compare a given fraction and percentage using inequalities. | drfrost.org/explorer.php?ssid=5147 | ||
| 175d | Secondary | Order a mixture of fractions, decimals and percentages. | drfrost.org/explorer.php?ssid=1372 | https://www.youtube-nocookie.com/embed/yXziTEWRRCw | K58 |
| 176 | Secondary | Exam Practice: Multiplicative scaling and numerical proportion relationships | drfrost.org/explorer.php?ssid=68 | https://www.youtube-nocookie.com/embed/Drx3i7fwU90 | E176 |
| 176a | Secondary | Work out a related multiplication using a given multiplication fact, where both numbers are scaled. | drfrost.org/explorer.php?ssid=8408 | ||
| 176b | Secondary | Work out a related division using a given division fact, where both numbers are scaled. | drfrost.org/explorer.php?ssid=8409 | ||
| 176c | Secondary | Work out a related division using a given multiplication fact, where both numbers are scaled. | drfrost.org/explorer.php?ssid=8410 | ||
| 176d | Secondary | Solve direct proportion problems using an integer scale factor. | drfrost.org/explorer.php?ssid=1298 | https://www.youtube-nocookie.com/embed/eBSfyU64VtY | K230 |
| 176e | Secondary | Solve direct proportion problems using a non-integer scale factor. | drfrost.org/explorer.php?ssid=5149 | ||
| 176f | Secondary | Complete a table of values for variables in direct proportion (without powers). | drfrost.org/explorer.php?ssid=5150 | ||
| 176g | Secondary | Determine if a linear relationship is a proportional relationship. | drfrost.org/explorer.php?ssid=5722 | ||
| 176h | Secondary | Use multiplicative reasoning in a recipe to determine the amount of an ingredient needed for a new quantity. | drfrost.org/explorer.php?ssid=1314 | https://www.youtube-nocookie.com/embed/13mWOpvcRwk | K231 |
| 176i | Secondary | Use multiplicative reasoning in a recipe to determine the amount of an ingredient needed given another scaled ingredient. | drfrost.org/explorer.php?ssid=8792 | ||
| 176j | Secondary | Use multiplicative reasoning in a recipe to determine the quantity of items that can be made. | drfrost.org/explorer.php?ssid=8793 | ||
| 176k | Secondary | Use multiplicative reasoning in a recipe to determine the maximum quantity of items that can be made. | drfrost.org/explorer.php?ssid=5151 | ||
| 176l | Secondary | Use multiplicative reasoning in a recipe to determine if there is enough of a certain ingredient. | drfrost.org/explorer.php?ssid=5152 | ||
| 176m | Secondary | Use proportion to solve best value problems. | drfrost.org/explorer.php?ssid=1315 | https://www.youtube-nocookie.com/embed/kSDLWDeY1qg | K233 |
| 176n | Secondary | Solve inverse proportion problems using a scaling method. | drfrost.org/explorer.php?ssid=1299 | https://www.youtube-nocookie.com/embed/qGS4s0RuATs | K232 |
| 176o | Secondary | Complete a table of values for variables in inverse proportion. | drfrost.org/explorer.php?ssid=5153 | ||
| 176p | Secondary | Determine if two variables are in direct or inverse proportion from a given table of values. | drfrost.org/explorer.php?ssid=5154 | ||
| 177 | Secondary | Exam Practice: Exchange rates | drfrost.org/explorer.php?ssid=455 | E177 | |
| 177a | Secondary | Use an exchange rate to calculate an amount by multiplying. | drfrost.org/explorer.php?ssid=1312 | https://www.youtube-nocookie.com/embed/sFoIfbjhnf4 | K234 |
| 177b | Secondary | Use an exchange rate to calculate an amount by dividing. | drfrost.org/explorer.php?ssid=1313 | https://www.youtube-nocookie.com/embed/xKX-dedgV24 | K235 |
| 177c | Secondary | Calculate an exchange rate from two equivalent costs. | drfrost.org/explorer.php?ssid=8669 | ||
| 177d | Secondary | Determine a difference between costs in two different currencies or compare two values. | drfrost.org/explorer.php?ssid=2276 | ||
| 177e | Secondary | Determine the maximum number of notes in one currency that can be obtained with an amount in another currency. | drfrost.org/explorer.php?ssid=2346 | ||
| 177f | Secondary | Use two exchange rates to compare values. | drfrost.org/explorer.php?ssid=2347 | ||
| 177g | Secondary | Solve a problem with multiple arithmetic operations, involving two currencies. | drfrost.org/explorer.php?ssid=2348 | ||
| 177h | Secondary | Use a conversion between two units of mass or volume along with different currencies. | drfrost.org/explorer.php?ssid=2349 | ||
| 177i | Secondary | Solve problems involving fluctuating exchange rates. | drfrost.org/explorer.php?ssid=5155 | ||
| 177j | Secondary | Solve problems involving exchange rates and commission. | drfrost.org/explorer.php?ssid=5156 | ||
| 178 | Secondary | Exam Practice: Conversion graphs | drfrost.org/explorer.php?ssid=414 | E178 | |
| 178a | Secondary | Draw a conversion graph. | drfrost.org/explorer.php?ssid=1463 | K91 | |
| 178b | Secondary | Use a conversion graph within the scale. | drfrost.org/explorer.php?ssid=1464 | K92 | |
| 178c | Secondary | Use a conversion graph for a value outside the scale. | drfrost.org/explorer.php?ssid=5157 | ||
| 179 | Secondary | Exam Practice: Geometric notation for shapes and lines | drfrost.org/explorer.php?ssid=581 | E179 | |
| 179a | Secondary | Use three-letter angle notation. | drfrost.org/explorer.php?ssid=1384 | https://www.youtube-nocookie.com/embed/sXyk8eeSqnE | K102 |
| 179b | Secondary | Use lettered notation to identify a line segment or a shape. | drfrost.org/explorer.php?ssid=5158 | ||
| 179c | Secondary | Use notation to represent parallel and perpendicular lines. | drfrost.org/explorer.php?ssid=5159 | ||
| 179d | Secondary | Use notation to represent equal side lengths and angles. | drfrost.org/explorer.php?ssid=5160 | ||
| 180 | Secondary | Exam Practice: Perimeter of rectilinear shapes | drfrost.org/explorer.php?ssid=4238 | E180 | |
| 180a | Secondary | Find the perimeter of a composite rectilinear shape. | drfrost.org/explorer.php?ssid=1310 | https://www.youtube-nocookie.com/embed/JKxm0-UaK3c | K116 |
| 180b | Secondary | Find the perimeter of shapes made from several congruent rectangles. | drfrost.org/explorer.php?ssid=1286 | K117 | |
| 181 | Secondary | Exam Practice: Area of composite rectilinear shapes | drfrost.org/explorer.php?ssid=4239 | E181 | |
| 181a | Secondary | Find the area of a composite rectilinear shape where all side lengths are given. | drfrost.org/explorer.php?ssid=8860 | ||
| 181b | Secondary | Find the area of a composite rectilinear shape where some side lengths are missing. | drfrost.org/explorer.php?ssid=1224 | https://www.youtube-nocookie.com/embed/-zDWva2jNs8 | K118 |
| 181c | Secondary | Determine a length in a rectilinear shape using its area. | drfrost.org/explorer.php?ssid=5161 | ||
| 181d | Secondary | Determine a cost or quantity required associated with a composite rectilinear shape. | drfrost.org/explorer.php?ssid=5162 | ||
| 182 | Secondary | Exam Practice: Area of composite shapes (no circles) | drfrost.org/explorer.php?ssid=127 | https://www.youtube-nocookie.com/embed/7kp1xSIChNE | E182 |
| 182a | Secondary | Calculate the area of a composite shape involving a triangle and a rectangle, given all lengths. | drfrost.org/explorer.php?ssid=2073 | ||
| 182b | Secondary | Determine the area of a composite shape involving a triangle and a rectangle and missing side lengths. | drfrost.org/explorer.php?ssid=2041 | ||
| 182c | Secondary | Determine the area of a composite shape involving a triangle and a rectangle, and the area of a simple part. | drfrost.org/explorer.php?ssid=2074 | ||
| 182d | Secondary | Determine a length in a composite shape involving a triangle and a rectangle, and the total area. | drfrost.org/explorer.php?ssid=8882 | ||
| 182e | Secondary | Determine the area of a non-standard quadrilateral drawn on a square grid. | drfrost.org/explorer.php?ssid=5163 | ||
| 182f | Secondary | Determine the area of a triangle or a rotated rectangle inside another rectangle. | drfrost.org/explorer.php?ssid=5164 | ||
| 182g | Secondary | Solve problems involving dividing the area of a rectilinear shape for a given quantity. | drfrost.org/explorer.php?ssid=5165 | ||
| 182h | Secondary | Solve problems involving dividing the area of a rectilinear shape and calculating costs. | drfrost.org/explorer.php?ssid=8685 | ||
| 182i | Secondary | Determine the area of a pentagon formed from a rectangle and a triangle. | drfrost.org/explorer.php?ssid=5166 | ||
| 182j | Secondary | Determine the area of a hexagon formed from a rectangle and a trapezium. | drfrost.org/explorer.php?ssid=2109 | ||
| 182k | Secondary | Determine the area of a hexagon formed from a rectangle and two triangles. | drfrost.org/explorer.php?ssid=5167 | ||
| 183 | Secondary | Exam Practice: Area of kites | drfrost.org/explorer.php?ssid=4240 | E183 | |
| 183a | Secondary | Calculate the area of a kite involving right-angles. | drfrost.org/explorer.php?ssid=2023 | ||
| 183b | Secondary | Calculate the area of a kite given the length of its two diagonals. | drfrost.org/explorer.php?ssid=5168 | ||
| 184 | Secondary | Exam Practice: Area of trapeziums | drfrost.org/explorer.php?ssid=125 | https://www.youtube-nocookie.com/embed/aKqIc1fmjGc | E184 |
| 184a | Secondary | Calculate the area of a trapezium. | drfrost.org/explorer.php?ssid=674 | https://www.youtube-nocookie.com/embed/a5laQQJgR-w | K299 |
| 184b | Secondary | Determine a length in a trapezium given its area. | drfrost.org/explorer.php?ssid=1288 | https://www.youtube-nocookie.com/embed/8ScDWTrmFZg | K300 |
| 184c | Secondary | Solve problems involving cost with the area of a trapezium. | drfrost.org/explorer.php?ssid=2064 | ||
| 184d | Secondary | Determine the length or area within a compound shape involving or forming a trapezium. | drfrost.org/explorer.php?ssid=2065 | ||
| 184e | Secondary | Determine the length or area within a compound shape formed by two polygons (one non-rectangular), given the total area. | drfrost.org/explorer.php?ssid=5236 | ||
| 185 | Secondary | Exam Practice: Related area problems | drfrost.org/explorer.php?ssid=4241 | E185 | |
| 185a | Secondary | Determine the area of a rectangle with the same perimeter as a triangle. | drfrost.org/explorer.php?ssid=8814 | ||
| 185b | Secondary | Determine the side length or perimeter of a rectangle with the same area as a triangle. | drfrost.org/explorer.php?ssid=2055 | ||
| 185c | Secondary | Determine the base or height of a triangle with the same area as a rectangle. | drfrost.org/explorer.php?ssid=2056 | ||
| 185d | Secondary | Determine the side lengths of rectangles and triangles with related areas. | drfrost.org/explorer.php?ssid=2012 | ||
| 185e | Secondary | Determine the side lengths of rectangles and trapezia with related areas. | drfrost.org/explorer.php?ssid=5169 | ||
| 185f | Secondary | Determine the side lengths of triangles and trapezia with related areas. | drfrost.org/explorer.php?ssid=5170 | ||
| 186 | Secondary | Exam Practice: Estimating measures in context | drfrost.org/explorer.php?ssid=4242 | E186 | |
| 186a | Secondary | Suggest a suitable unit of measurement for a physical quantity. | drfrost.org/explorer.php?ssid=5171 | ||
| 186b | Secondary | Estimate the physical measurement of objects. | drfrost.org/explorer.php?ssid=5172 | ||
| 186c | Secondary | Estimate a value from limited information using Fermi estimation. | drfrost.org/explorer.php?ssid=5173 | ||
| 187 | Secondary | Exam Practice: Rounding a number to a given number of significant figures | drfrost.org/explorer.php?ssid=43 | https://www.youtube-nocookie.com/embed/CKTmUZauibk | E187 |
| 187a | Secondary | Identify the digit of a given significant figure in a number. | drfrost.org/explorer.php?ssid=8732 | ||
| 187b | Secondary | Identify the place value of a given significant figure in a number. | drfrost.org/explorer.php?ssid=8734 | ||
| 187c | Secondary | Round a large number to 1 significant figure. | drfrost.org/explorer.php?ssid=8736 | ||
| 187d | Secondary | Round a small number to 1 significant figure. | drfrost.org/explorer.php?ssid=8917 | ||
| 187e | Secondary | Round a large number to 2 or more significant figures. | drfrost.org/explorer.php?ssid=8737 | ||
| 187f | Secondary | Round a small number to 2 or more significant figures. | drfrost.org/explorer.php?ssid=8918 | ||
| 188 | Secondary | Exam Practice: Estimating the result of a calculation by first rounding each number | drfrost.org/explorer.php?ssid=44 | https://www.youtube-nocookie.com/embed/Y7Qmot2vWe8 | E188 |
| 188a | Secondary | Estimate the answer of a simple calculation using rounding to significant figures. | drfrost.org/explorer.php?ssid=806 | https://www.youtube-nocookie.com/embed/mmebHnp_qeU | K224 |
| 188b | Secondary | Estimate the result of a division by a decimal using rounding to significant figures. | drfrost.org/explorer.php?ssid=807 | https://www.youtube-nocookie.com/embed/cTapGue8CKU | K225 |
| 188c | Secondary | Estimate a value from a problem in context with a single arithmetic operation. | drfrost.org/explorer.php?ssid=5174 | ||
| 188d | Secondary | Estimate a value from a problem in context with multiple arithmetic operations. | drfrost.org/explorer.php?ssid=8877 | ||
| 188e | Secondary | Determine a better estimate to a calculation using rounding not to significant figures. | drfrost.org/explorer.php?ssid=8603 | ||
| 188f | Secondary | Determine whether an estimated value is an underestimate or overestimate. | drfrost.org/explorer.php?ssid=8921 | ||
| 189 | Secondary | Exam Practice: Rounding errors (round-off errors) | drfrost.org/explorer.php?ssid=4243 | E189 | |
| 189a | Secondary | Determine the rounding error (round-off error) when the result of a calculation is rounded. | drfrost.org/explorer.php?ssid=5175 | ||
| 189b | Secondary | Determine the effect of early rounding on subsequent calculation with that value. | drfrost.org/explorer.php?ssid=5176 | ||
| 190 | Secondary | Exam Practice: Algebraic terminology | drfrost.org/explorer.php?ssid=4244 | E190 | |
| 190a | Secondary | Distinguish between constants, variables, terms, expressions, equations and formulae. | drfrost.org/explorer.php?ssid=5177 | https://www.youtube-nocookie.com/embed/GwoT1OtF-uE | |
| 191 | Secondary | Exam Practice: Multiplying single algebraic terms (no index laws) | drfrost.org/explorer.php?ssid=4 | https://www.youtube-nocookie.com/embed/QhWFFoxCTqI | E191 |
| 191a | Secondary | Multiply an algebraic term involving one variable by a positive integer. | drfrost.org/explorer.php?ssid=5178 | https://www.youtube-nocookie.com/embed/bPYpcYwLp-c | |
| 191b | Secondary | Multiply two or more algebraic terms with no coefficients, in one variable only. | drfrost.org/explorer.php?ssid=8569 | https://www.youtube-nocookie.com/embed/rNQZxuCY6gY | |
| 191c | Secondary | Multiply an algebraic term involving multiple variables by a positive integer. | drfrost.org/explorer.php?ssid=5179 | https://www.youtube-nocookie.com/embed/Rkm0n6Ep8l4 | |
| 191d | Secondary | Multiply algebraic terms with positive coefficients, giving an answer with no powers. | drfrost.org/explorer.php?ssid=5180 | https://www.youtube-nocookie.com/embed/Y_okuqPef0w | |
| 191e | Secondary | Multiply algebraic terms with positive coefficients, giving an answer with a maximum power of 2. | drfrost.org/explorer.php?ssid=610 | https://www.youtube-nocookie.com/embed/AZpfWcwWxWQ | K148 |
| 191f | Secondary | Multiply algebraic terms with negative coefficients, giving an answer with a maximum power of 2. | drfrost.org/explorer.php?ssid=5181 | https://www.youtube-nocookie.com/embed/Ftq24IY8kUA | |
| 192 | Secondary | Exam Practice: Dividing single algebraic terms (no index laws) | drfrost.org/explorer.php?ssid=5 | https://www.youtube-nocookie.com/embed/thSfyYxJJIE | E192 |
| 192a | Secondary | Divide an algebraic term involving one variable by a positive integer. | drfrost.org/explorer.php?ssid=5182 | https://www.youtube-nocookie.com/embed/hJYlWVBLPO4 | |
| 192b | Secondary | Divide an algebraic term involving multiple variables by a positive integer (maximum power of 2). | drfrost.org/explorer.php?ssid=2036 | https://www.youtube-nocookie.com/embed/umOmh1ZyXio | |
| 192c | Secondary | Divide an algebraic term by an algebraic term with coefficient of 1 (maximum power of 2). | drfrost.org/explorer.php?ssid=2037 | https://www.youtube-nocookie.com/embed/tUVMbs_885o | |
| 192d | Secondary | Divide algebraic terms with positive coefficients (maximum power of 2). | drfrost.org/explorer.php?ssid=2038 | https://www.youtube-nocookie.com/embed/UiXYRH3D7YY | |
| 192e | Secondary | Divide algebraic terms with negative coefficients (maximum power of 2). | drfrost.org/explorer.php?ssid=5183 | https://www.youtube-nocookie.com/embed/zivbTCoj39w | |
| 192f | Secondary | Combine multiplication and division of algebraic terms. | drfrost.org/explorer.php?ssid=2039 | https://www.youtube-nocookie.com/embed/6TpNjGIwz8o | |
| 193 | Secondary | Exam Practice: Collecting like terms | drfrost.org/explorer.php?ssid=3 | https://www.youtube-nocookie.com/embed/PC8q9cyCgjI | E193 |
| 193a | Secondary | Add algebraic terms containing the same variable. | drfrost.org/explorer.php?ssid=1748 | https://www.youtube-nocookie.com/embed/8NdzmTWgUVs | |
| 193b | Secondary | Add and subtract algebraic terms containing the same variable. | drfrost.org/explorer.php?ssid=762 | https://www.youtube-nocookie.com/embed/aPS8KIsLFYs | K141 |
| 193c | Secondary | Collect like terms involving multiple variables, which are positive and without powers. | drfrost.org/explorer.php?ssid=1361 | https://www.youtube-nocookie.com/embed/HnHIX0nT3KE | K142 |
| 193d | Secondary | Collect like terms involving multiple variables and without powers. | drfrost.org/explorer.php?ssid=609 | https://www.youtube-nocookie.com/embed/6jbxQm0kXz0 | K143 |
| 193e | Secondary | Collect like terms with powers. | drfrost.org/explorer.php?ssid=761 | https://www.youtube-nocookie.com/embed/s32zrAyXr5o | K144 |
| 193f | Secondary | Collect like terms with powers and combinations of two variables within each term. | drfrost.org/explorer.php?ssid=1722 | https://www.youtube-nocookie.com/embed/fdq_Kg6aF0Q | |
| 194 | Secondary | Exam Practice: Algebraic index laws (basic) | drfrost.org/explorer.php?ssid=4245 | E194 | |
| 194a | Secondary | Use laws of indices for multiplying powers with algebraic bases. | drfrost.org/explorer.php?ssid=5184 | https://www.youtube-nocookie.com/embed/EGCaCGk7ReM | |
| 194b | Secondary | Use laws of indices for terms with numerical bases and algebraic powers. | drfrost.org/explorer.php?ssid=8404 | https://www.youtube-nocookie.com/embed/tWo4EWHaVc0 | |
| 194c | Secondary | Use laws of indices for dividing powers with algebraic bases. | drfrost.org/explorer.php?ssid=5185 | https://www.youtube-nocookie.com/embed/YuDC93jh_Tk | |
| 194d | Secondary | Multiply algebraic terms with powers. | drfrost.org/explorer.php?ssid=611 | https://www.youtube-nocookie.com/embed/k0QM-jHI_ZE | K149 |
| 194e | Secondary | Divide algebraic terms with powers. | drfrost.org/explorer.php?ssid=613 | https://www.youtube-nocookie.com/embed/3frvtCrX9i4 | K151 |
| 194f | Secondary | Raise an algebraic term to the power of 0. | drfrost.org/explorer.php?ssid=5186 | https://www.youtube-nocookie.com/embed/EYMPif4Uhdc | |
| 194g | Secondary | Use laws of indices for raising a power to a power with an algebraic base. | drfrost.org/explorer.php?ssid=5187 | https://www.youtube-nocookie.com/embed/tJ2NQBSgidQ | |
| 194h | Secondary | Simplify an expression using multiple index laws with a single algebraic variable. | drfrost.org/explorer.php?ssid=1518 | https://www.youtube-nocookie.com/embed/SXQyFKWWopI | K718 |
| 194i | Secondary | Simplify an expression using multiple index laws with a single algebraic variable and fractional indices. | drfrost.org/explorer.php?ssid=5188 | https://www.youtube-nocookie.com/embed/5GPGbZ0Zduk | |
| 194j | Secondary | Raise an algebraic term to a positive integer power. | drfrost.org/explorer.php?ssid=817 | https://www.youtube-nocookie.com/embed/AMLmbvG7g0I | K439 |
| 194k | Secondary | Raise an algebraic term containing fractional indices to a positive integer power. | drfrost.org/explorer.php?ssid=5189 | https://www.youtube-nocookie.com/embed/RQJmc08Aca8 | |
| 194l | Secondary | Simplify an expression using multiple index laws with multiple algebraic variables. | drfrost.org/explorer.php?ssid=5190 | https://www.youtube-nocookie.com/embed/K62Ozs2y4PU | |
| 194m | Secondary | Split a fraction using index laws where the exponents are fractional. | drfrost.org/explorer.php?ssid=5191 | https://www.youtube-nocookie.com/embed/-TawtDdX-AQ | |
| 194n | Secondary | Determine the unknown power in an expression involving index laws with positive indices given its algebraic equivalent. | drfrost.org/explorer.php?ssid=8400 | https://www.youtube-nocookie.com/embed/oRHkG94E9Qw | |
| 195 | Secondary | Exam Practice: Function machines involving decimals, negative numbers and algebraic inputs | drfrost.org/explorer.php?ssid=4246 | E195 | |
| 195a | Secondary | Calculate the input or output of a function machine involving a negative value. | drfrost.org/explorer.php?ssid=2246 | https://www.youtube-nocookie.com/embed/mTYMr_0Vqss | |
| 195b | Secondary | Calculate the input or output of a function machine involving a decimal value. | drfrost.org/explorer.php?ssid=2364 | https://www.youtube-nocookie.com/embed/t8-5F-yMN6k | |
| 195c | Secondary | Calculate the input or output of a function machine involving a fractional value. | drfrost.org/explorer.php?ssid=2365 | https://www.youtube-nocookie.com/embed/BnYOU_z62Nw | |
| 195d | Secondary | Determine an algebraic expression for the output of a function machine. | drfrost.org/explorer.php?ssid=2240 | https://www.youtube-nocookie.com/embed/1K9P1_MAvBU | |
| 195e | Secondary | Determine the missing operation in a function machine given a single variable as the input and an algebraic expression as the output. | drfrost.org/explorer.php?ssid=2366 | https://www.youtube-nocookie.com/embed/S8_13heJWAY | |
| 196 | Secondary | Exam Practice: Further substitution with positive integers (including powers, roots and brackets) | drfrost.org/explorer.php?ssid=103 | https://www.youtube-nocookie.com/embed/Cnu4wcuGEMw | E196 |
| 196a | Secondary | Substitute positive integers into an expression with one variable, including powers, roots and brackets. | drfrost.org/explorer.php?ssid=1030 | https://www.youtube-nocookie.com/embed/_3dQufRJ8Oo | K138 |
| 196b | Secondary | Substitute positive integers into an expression with two variables, including powers, roots and brackets. | drfrost.org/explorer.php?ssid=1031 | https://www.youtube-nocookie.com/embed/2HMz6TRh2Qg | K139 |
| 196c | Secondary | Substitute positive integers into an algebraic formula with two variables to find the value of the subject. | drfrost.org/explorer.php?ssid=8421 | ||
| 197 | Secondary | Exam Practice: Substitution with decimals, negative integers and fractions | drfrost.org/explorer.php?ssid=4247 | E197 | |
| 197a | Secondary | Substitute decimals into basic basic algebraic expressions and formulae involving arithmetic operations. | drfrost.org/explorer.php?ssid=5192 | ||
| 197b | Secondary | Substitute decimals into more general basic algebraic expressions and formulae, including powers, roots and brackets. | drfrost.org/explorer.php?ssid=5193 | ||
| 197c | Secondary | Substitute decimals into basic algebraic expressions and formulae with variables on the denominator. | drfrost.org/explorer.php?ssid=5194 | ||
| 197d | Secondary | Substitute decimals into formulae with two variables to find the value of the subject. | drfrost.org/explorer.php?ssid=8422 | ||
| 197e | Secondary | Substitute negative numbers into basic algebraic expressions and formulae involving arithmetic operations. | drfrost.org/explorer.php?ssid=5195 | ||
| 197f | Secondary | Substitute negative numbers into more general basic algebraic expressions and formulae, including powers, roots and brackets. | drfrost.org/explorer.php?ssid=1032 | https://www.youtube-nocookie.com/embed/WUXkIx8R5v0 | K140 |
| 197g | Secondary | Substitute negative numbers into basic algebraic expressions and formulae with variables on the denominator. | drfrost.org/explorer.php?ssid=5196 | ||
| 197h | Secondary | Convert temperatures between Fahrenheit and Celsius using a formula. | drfrost.org/explorer.php?ssid=8586 | ||
| 197i | Secondary | Substitute fractions into basic basic algebraic expressions and formulae involving arithmetic operations. | drfrost.org/explorer.php?ssid=5197 | ||
| 197j | Secondary | Substitute fractions into more general basic algebraic expressions and formulae, including powers, roots and brackets. | drfrost.org/explorer.php?ssid=5198 | ||
| 197k | Secondary | Substitute fractions into basic algebraic expressions and formulae with variables on the denominator. | drfrost.org/explorer.php?ssid=1944 | ||
| 198 | Secondary | Exam Practice: Forming algebraic expressions and formulae from a given context | drfrost.org/explorer.php?ssid=104 | E198 | |
| 198a | Secondary | Form an expression with one operation and one variable. | drfrost.org/explorer.php?ssid=1347 | https://www.youtube-nocookie.com/embed/s6GJzO1Ff-4 | K165 |
| 198b | Secondary | Write a formula connecting variables with one operation. | drfrost.org/explorer.php?ssid=5199 | ||
| 198c | Secondary | Form an expression with one variable and two operations. | drfrost.org/explorer.php?ssid=1352 | https://www.youtube-nocookie.com/embed/gxfkCU-xrwY | K166 |
| 198d | Secondary | Write an expression or formula connecting multiple variables, including for total quantity or cost. | drfrost.org/explorer.php?ssid=5200 | ||
| 198e | Secondary | Write a formula connecting two variables from a rule written in words. | drfrost.org/explorer.php?ssid=5201 | ||
| 198f | Secondary | Write an expression or formula for the perimeter of a 2D shape. | drfrost.org/explorer.php?ssid=1349 | https://www.youtube-nocookie.com/embed/rrUAJP6fMEI | K168 |
| 198g | Secondary | Write an expression or formula for the area of a standard 2D shape. | drfrost.org/explorer.php?ssid=5202 | ||
| 198h | Secondary | Write an expression or formula for the area of a composite or rectilinear shape. | drfrost.org/explorer.php?ssid=1508 | https://www.youtube-nocookie.com/embed/YjTMqrjxfGM | K712 |
| 198i | Secondary | Determine an expression for an unknown side length given the perimeter or area of a 2D shape. | drfrost.org/explorer.php?ssid=5203 | ||
| 199 | Secondary | Exam Practice: Solving linear equations where the variable appears on one side of the equation only | drfrost.org/explorer.php?ssid=17 | https://www.youtube-nocookie.com/embed/Da9cfL1Iauk | E199 |
| 199a | Secondary | Understand balancing algebraic equations where the same operation is applied to both sides of the equality. | drfrost.org/explorer.php?ssid=5204 | ||
| 199b | Secondary | Solve a one-step linear equation involving addition or subtraction. | drfrost.org/explorer.php?ssid=635 | https://www.youtube-nocookie.com/embed/TCIi4C2YzRM | K145 |
| 199c | Secondary | Solve a one-step linear equation involving multiplication or division. | drfrost.org/explorer.php?ssid=8803 | ||
| 199d | Secondary | Solve a two-step equation of the form ax+b=c where the solution is a positive integer. | drfrost.org/explorer.php?ssid=658 | https://www.youtube-nocookie.com/embed/5JU9Uh4nq-A | K146 |
| 199e | Secondary | Solve a two-step equation of the form \frac{x}{a}+b=c or \frac{1}{a}x+b=c where the solution is a positive integer. | drfrost.org/explorer.php?ssid=8675 | ||
| 199f | Secondary | Solve a two-step equation of the form ax+b=c where the solution is a negative integer. | drfrost.org/explorer.php?ssid=2129 | ||
| 199g | Secondary | Solve a two-step equation of the form \frac{x}{a}+b=c or \frac{1}{a}x+b=c where the solution is a negative integer. | drfrost.org/explorer.php?ssid=8844 | ||
| 199h | Secondary | Solve a two-step equation of the form ax+b=c where the solution is a terminating decimal or a fraction. | drfrost.org/explorer.php?ssid=2134 | ||
| 199i | Secondary | Solve a linear equation requiring simplification to the form ax+b=c where the solution is an integer. | drfrost.org/explorer.php?ssid=2168 | ||
| 199j | Secondary | Solve a linear equation requiring simplification to the form ax+b=c where the solution is a positive or negative terminating decimal or a fraction. | drfrost.org/explorer.php?ssid=5205 | ||
| 199k | Secondary | Solve a linear equation the form a-x=b | drfrost.org/explorer.php?ssid=8804 | ||
| 199l | Secondary | Solve a linear equation the form a-bx=c | drfrost.org/explorer.php?ssid=842 | https://www.youtube-nocookie.com/embed/VDKMWvBTGwA | K370 |
| 199m | Secondary | Solve a linear equation the form a-\frac{1}{b}x=c or a-\frac{x}{b}=c | drfrost.org/explorer.php?ssid=8845 | ||
| 200 | Secondary | Exam Practice: Solving equations involving integer powers and their roots as inverses | drfrost.org/explorer.php?ssid=415 | https://www.youtube-nocookie.com/embed/AZg6ngfFlt4 | E200 |
| 200a | Secondary | Solve a one-step equation involving a variable squared. | drfrost.org/explorer.php?ssid=5206 | ||
| 200b | Secondary | Solve a one-step equation involving a variable cubed. | drfrost.org/explorer.php?ssid=8314 | ||
| 200c | Secondary | Solve a one-step equation involving a power of a variable where the power is 4 or above. | drfrost.org/explorer.php?ssid=8315 | ||
| 200d | Secondary | Solve a one-step equation involving a square root of a variable. | drfrost.org/explorer.php?ssid=5207 | ||
| 200e | Secondary | Solve a one-step equation involving a cube root of a variable. | drfrost.org/explorer.php?ssid=5208 | ||
| 200f | Secondary | Solve a one-step equation involving the nth root of a variable, where n>3 | drfrost.org/explorer.php?ssid=5209 | ||
| 200g | Secondary | Solve a two-step equation involving a power of a variable. | drfrost.org/explorer.php?ssid=1686 | ||
| 200h | Secondary | Solve a two-step equation involving the nth root of a variable. | drfrost.org/explorer.php?ssid=5210 | ||
| 200i | Secondary | Solve a multi-step equation involving powers and roots of a variable. | drfrost.org/explorer.php?ssid=5211 | ||
| 200j | Secondary | Solve an equation where a power or root is involved on the denominator of a fraction. | drfrost.org/explorer.php?ssid=5212 | ||
| 201 | Secondary | Exam Practice: Changing the subject where the variable appears once only, excluding brackets | drfrost.org/explorer.php?ssid=14 | https://www.youtube-nocookie.com/embed/y-cGpOFCB3Q | E201 |
| 201a | Secondary | Change the subject of a linear formula requiring a single step. | drfrost.org/explorer.php?ssid=1008 | https://www.youtube-nocookie.com/embed/euTMpMDGtQE | K359 |
| 201b | Secondary | Change the subject of a linear formula requiring two steps (including simple divisions). | drfrost.org/explorer.php?ssid=974 | https://www.youtube-nocookie.com/embed/5a3L6Q1uymI | K360 |
| 201c | Secondary | Change the subject of a formula where the subject is multiplied or divided by more than one constant or variable. | drfrost.org/explorer.php?ssid=2339 | ||
| 201d | Secondary | Change the subject of a formula where the subject appears on the denominator of a fraction. | drfrost.org/explorer.php?ssid=2337 | ||
| 201e | Secondary | Change the subject of a linear formula where the coefficient of the subject is negative. | drfrost.org/explorer.php?ssid=2341 | ||
| 201f | Secondary | Change the subject of a simple formula where the subject is squared. | drfrost.org/explorer.php?ssid=979 | https://www.youtube-nocookie.com/embed/3xqx7C1opW4 | K363 |
| 201g | Secondary | Change the subject of a simple formula with a power of the subject. | drfrost.org/explorer.php?ssid=2340 | ||
| 201h | Secondary | Change the subject of a simple formula with a root of the subject. | drfrost.org/explorer.php?ssid=977 | https://www.youtube-nocookie.com/embed/JhaQGWmEJs8 | K364 |
| 202 | Secondary | Exam Practice: Distinguishing between different types of sequences | drfrost.org/explorer.php?ssid=4248 | E202 | |
| 202a | Secondary | Identify named sequences such as square numbers, cube numbers, triangular numbers and the Fibonacci sequence. | drfrost.org/explorer.php?ssid=5213 | ||
| 202b | Secondary | Identify if a sequence is linear, quadratic or geometric. | drfrost.org/explorer.php?ssid=5214 | ||
| 203 | Secondary | Exam Practice: Describing, generating and continuing sequences using term-to-term rules | drfrost.org/explorer.php?ssid=419 | https://www.youtube-nocookie.com/embed/HpvmiG4-4Ys | E203 |
| 203a | Secondary | Describe the term-to-term rule of a sequence. | drfrost.org/explorer.php?ssid=1979 | ||
| 203b | Secondary | Draw the next term in a pictorial sequence. | drfrost.org/explorer.php?ssid=5215 | ||
| 203c | Secondary | Draw a later term in a pictorial sequence. | drfrost.org/explorer.php?ssid=8322 | ||
| 203d | Secondary | Determine the number of items (e.g. squares) in a subsequent shape, following an arithmetic sequence. | drfrost.org/explorer.php?ssid=1980 | ||
| 203e | Secondary | Generate an arithmetic sequence given the first term and the common difference. | drfrost.org/explorer.php?ssid=5216 | ||
| 203f | Secondary | Generate a quadratic sequence given the first two terms and the common second difference. | drfrost.org/explorer.php?ssid=5217 | ||
| 203g | Secondary | Generate a geometric sequence given the first term and the common ratio. | drfrost.org/explorer.php?ssid=5218 | ||
| 203h | Secondary | Determine the next term(s) in an arithmetic sequence. | drfrost.org/explorer.php?ssid=1163 | https://www.youtube-nocookie.com/embed/1Cq5nPggsIY | K158 |
| 203i | Secondary | Determine the next term(s) in a quadratic sequence. | drfrost.org/explorer.php?ssid=5219 | ||
| 203j | Secondary | Determine the next term(s) in a geometric sequence. | drfrost.org/explorer.php?ssid=1757 | ||
| 203k | Secondary | Determine a later term in an arithmetic sequence. | drfrost.org/explorer.php?ssid=2005 | ||
| 203l | Secondary | Determine a later term in a quadratic sequence. | drfrost.org/explorer.php?ssid=1992 | ||
| 203m | Secondary | Determine a later term in a geometric sequence. | drfrost.org/explorer.php?ssid=1586 | K761 | |
| 203n | Secondary | Determine a missing term in an arithmetic sequence with a single gap. | drfrost.org/explorer.php?ssid=1991 | ||
| 203o | Secondary | Determine missing terms in an arithmetic sequence with consecutive gaps. | drfrost.org/explorer.php?ssid=8880 | ||
| 203p | Secondary | Determine the difference between non-consecutive terms of an arithmetic sequence. | drfrost.org/explorer.php?ssid=8881 | ||
| 203q | Secondary | Determine a missing term in a geometric sequence with a single gap. | drfrost.org/explorer.php?ssid=1731 | ||
| 203r | Secondary | Continue a Fibonacci-style sequence. | drfrost.org/explorer.php?ssid=1736 | https://www.youtube-nocookie.com/embed/03KPPtuYUaA | |
| 203s | Secondary | Continue an arithmetic sequence where terms are algebraic. | drfrost.org/explorer.php?ssid=5220 | ||
| 203t | Secondary | Continue a geometric sequence where terms are algebraic. | drfrost.org/explorer.php?ssid=1735 | ||
| 203u | Secondary | Continue a Fibonacci-type sequence where terms are algebraic. | drfrost.org/explorer.php?ssid=5221 | ||
| 204 | Secondary | Exam Practice: Generating terms of a sequence given a position-to-term rule | drfrost.org/explorer.php?ssid=76 | https://www.youtube-nocookie.com/embed/IqcVmglS36A | E204 |
| 204a | Secondary | Generate any term in a sequence using a linear nth term. | drfrost.org/explorer.php?ssid=888 | https://www.youtube-nocookie.com/embed/TmasnxrjPas | K163 |
| 204b | Secondary | Generate the first few terms of a sequence given a linear nth term. | drfrost.org/explorer.php?ssid=1752 | ||
| 204c | Secondary | Generate terms in a sequence using a quadratic nth term. | drfrost.org/explorer.php?ssid=5222 | ||
| 204d | Secondary | Generate terms in a sequence using a geometric nth term. | drfrost.org/explorer.php?ssid=5223 | ||
| 204e | Secondary | Generate terms in a sequence using an nth term with brackets or powers greater than 2. | drfrost.org/explorer.php?ssid=1049 | https://www.youtube-nocookie.com/embed/rpDKPQkQ8Fo | K164 |
| 204f | Secondary | Generate terms in a sequence using a fractional nth term. | drfrost.org/explorer.php?ssid=8748 | ||
| 205 | Secondary | Exam Practice: nth term formula for arithmetic sequences (no standard formulae) | drfrost.org/explorer.php?ssid=78 | https://www.youtube-nocookie.com/embed/ujsVk8zqqFA | E205 |
| 205a | Secondary | Determine the nth term formula for an arithmetic sequence by comparison to an | drfrost.org/explorer.php?ssid=5224 | ||
| 205b | Secondary | Determine the nth term formula for an ascending arithmetic sequence. | drfrost.org/explorer.php?ssid=750 | https://www.youtube-nocookie.com/embed/scFJlXIM2WA | K160 |
| 205c | Secondary | Determine the nth term formula for a descending arithmetic sequence. | drfrost.org/explorer.php?ssid=1378 | https://www.youtube-nocookie.com/embed/8S-ZgTxjpbc | K161 |
| 205d | Secondary | Determine the nth term formula for shapes in a sequence. | drfrost.org/explorer.php?ssid=2066 | ||
| 205e | Secondary | Determine the nth term for a linear sequence with fractional terms. | drfrost.org/explorer.php?ssid=5225 | ||
| 205f | Secondary | Determine the nth term formula for an ascending arithmetic sequence where n is algebraic. | drfrost.org/explorer.php?ssid=2089 | ||
| 205g | Secondary | Use an existing formula for a linear sequence to determine the formula for a similar sequence. | drfrost.org/explorer.php?ssid=5226 | ||
| 205h | Secondary | Determine the formula for a linear sequence given non-consecutive terms. | drfrost.org/explorer.php?ssid=8511 | ||
| 206 | Secondary | Exam Practice: Determining if a term belongs in an arithmetic sequence | drfrost.org/explorer.php?ssid=81 | https://www.youtube-nocookie.com/embed/ahgHYPquFK0 | E206 |
| 206a | Secondary | Determine whether a number is a term in an arithmetic sequence using properties such as evenness/oddness. | drfrost.org/explorer.php?ssid=8907 | ||
| 206b | Secondary | Determine whether a number is a term in an arithmetic sequence using algebra. | drfrost.org/explorer.php?ssid=1338 | https://www.youtube-nocookie.com/embed/L9ld4zWtg18 | K162 |
| 206c | Secondary | Determine the term number of a particular term in an arithmetic sequence. | drfrost.org/explorer.php?ssid=2138 | ||
| 206d | Secondary | Determine the term in an arithmetic sequence closest to a particular number. | drfrost.org/explorer.php?ssid=2139 | ||
| 207 | Secondary | Exam Practice: Mode, median, range from listed data | drfrost.org/explorer.php?ssid=340 | https://www.youtube-nocookie.com/embed/MDv7JYfw7eY | E207 |
| 207a | Secondary | Determine the mode from listed data. | drfrost.org/explorer.php?ssid=669 | https://www.youtube-nocookie.com/embed/SeH31kH5VUA | K237 |
| 207b | Secondary | Determine the median from listed data. | drfrost.org/explorer.php?ssid=667 | https://www.youtube-nocookie.com/embed/00xV5v85Gqw | K238 |
| 207c | Secondary | Calculate the range from listed data. | drfrost.org/explorer.php?ssid=668 | https://www.youtube-nocookie.com/embed/4cs6RrYWd0w | K239 |
| 207d | Secondary | Determine the median, mode and range from a table. | drfrost.org/explorer.php?ssid=1894 | ||
| 207e | Secondary | Determine the median, mode and range from a chart. | drfrost.org/explorer.php?ssid=1901 | ||
| 207f | Secondary | Select an appropriate average for a given context. | drfrost.org/explorer.php?ssid=1914 | ||
| 207g | Secondary | Compare two sets of data using the range. | drfrost.org/explorer.php?ssid=8501 | ||
| 207h | Secondary | Compare two sets of data using median and the range. | drfrost.org/explorer.php?ssid=1916 | ||
| 207i | Secondary | Determine the effect of an additional very large or very small value on the median and mean. | drfrost.org/explorer.php?ssid=5227 | ||
| 207j | Secondary | Determine the change to the data that results in a change of the median, mode or range. | drfrost.org/explorer.php?ssid=1915 | ||
| 207k | Secondary | Determine the median, mode and range from a list of algebraic data. | drfrost.org/explorer.php?ssid=1919 | ||
| 207l | Secondary | Determine a list of integers given information about their mean, median, range and mode. | drfrost.org/explorer.php?ssid=958 | https://www.youtube-nocookie.com/embed/DV5kUU5uBbw | K241 |
| 208 | Secondary | Exam Practice: Combining means or dealing with changes to a mean | drfrost.org/explorer.php?ssid=343 | https://www.youtube-nocookie.com/embed/QpM3ZpIICCE | E208 |
| 208a | Secondary | Determine an unknown value given the mean and the other listed values. | drfrost.org/explorer.php?ssid=957 | https://www.youtube-nocookie.com/embed/IinVQwJjU1o | K240 |
| 208b | Secondary | Determine the value that resulted in a change of mean. | drfrost.org/explorer.php?ssid=970 | https://www.youtube-nocookie.com/embed/h2ufot_DGfg | K242 |
| 208c | Secondary | Determine the resulting mean when a value is removed or added. | drfrost.org/explorer.php?ssid=971 | https://www.youtube-nocookie.com/embed/fn6RFYVkUvw | K243 |
| 208d | Secondary | Determine the combined mean of two groups. | drfrost.org/explorer.php?ssid=972 | https://www.youtube-nocookie.com/embed/gPDUOY0-VyE | K244 |
| 208e | Secondary | Determine the mean of one group given the combined mean and the mean of the other group. | drfrost.org/explorer.php?ssid=973 | https://www.youtube-nocookie.com/embed/pDl5dBGV04A | K245 |
| 209 | Secondary | Exam Practice: Circumference of a full circle | drfrost.org/explorer.php?ssid=476 | E209 | |
| 209a | Secondary | Calculate the circumference of a full circle given its radius. | drfrost.org/explorer.php?ssid=711 | https://www.youtube-nocookie.com/embed/DQMt2ukfvAI | K287 |
| 209b | Secondary | Calculate the circumference of a full circle given its diameter. | drfrost.org/explorer.php?ssid=713 | https://www.youtube-nocookie.com/embed/dTOnq14So7I | K288 |
| 209c | Secondary | Calculate the exact circumference of a full circle. | drfrost.org/explorer.php?ssid=1597 | https://www.youtube-nocookie.com/embed/xvDeeyZxIQ4 | |
| 209d | Secondary | Determine the radius or diameter of a full circle given its circumference. | drfrost.org/explorer.php?ssid=717 | https://www.youtube-nocookie.com/embed/lvpLbJyfbho | K289 |
| 209e | Secondary | Determine a cost involving the circumference of a full circle. | drfrost.org/explorer.php?ssid=1998 | https://www.youtube-nocookie.com/embed/Om20vkBZonk | |
| 209f | Secondary | Determine the circumference of a full circle given the area or perimeter of a square it is inscribed in. | drfrost.org/explorer.php?ssid=2011 | https://www.youtube-nocookie.com/embed/vVs3mkklRk0 | |
| 209g | Secondary | Determine the number of revolutions of a wheel across a given distance. | drfrost.org/explorer.php?ssid=2022 | https://www.youtube-nocookie.com/embed/3kFdUghaBog | |
| 210 | Secondary | Exam Practice: Area of a full circle | drfrost.org/explorer.php?ssid=126 | https://www.youtube-nocookie.com/embed/jOwlhcRGwdk | E210 |
| 210a | Secondary | Calculate the area of a full circle given its radius. | drfrost.org/explorer.php?ssid=710 | https://www.youtube-nocookie.com/embed/1YGiqKY2PC8 | K290 |
| 210b | Secondary | Calculate the area of a full circle given its diameter. | drfrost.org/explorer.php?ssid=712 | https://www.youtube-nocookie.com/embed/QVi_tRrz9gc | K291 |
| 210c | Secondary | Calculate the exact area of a full circle. | drfrost.org/explorer.php?ssid=1598 | https://www.youtube-nocookie.com/embed/54SvdWGx-0s | |
| 210d | Secondary | Determine the radius of a circle given its area. | drfrost.org/explorer.php?ssid=716 | https://www.youtube-nocookie.com/embed/7NKUIrloxgI | K292 |
| 210e | Secondary | Determine the area of a circle given its circumference. | drfrost.org/explorer.php?ssid=8861 | ||
| 210f | Secondary | Determine the circumference of a circle given its area. | drfrost.org/explorer.php?ssid=8862 | ||
| 210g | Secondary | Determine missing lengths in a circle or a rectangle with related areas. | drfrost.org/explorer.php?ssid=5228 | https://www.youtube-nocookie.com/embed/p7wpGIporMw | |
| 210h | Secondary | Determine missing lengths in a circle or a triangle with related areas. | drfrost.org/explorer.php?ssid=5229 | https://www.youtube-nocookie.com/embed/Sn-XVce3vNc | |
| 211 | Secondary | Exam Practice: Area or perimeter of simple fractions of circles | drfrost.org/explorer.php?ssid=477 | E211 | |
| 211a | Secondary | Calculate the area of a simple fraction of a circle. | drfrost.org/explorer.php?ssid=714 | https://www.youtube-nocookie.com/embed/R-koceQeDLc | K294 |
| 211b | Secondary | Determine the perimeter of a simple fraction of a circle. | drfrost.org/explorer.php?ssid=715 | https://www.youtube-nocookie.com/embed/K5Z1ZuYwVd4 | K293 |
| 211c | Secondary | Calculate the exact area of a simple fraction of a circle. | drfrost.org/explorer.php?ssid=1599 | https://www.youtube-nocookie.com/embed/JNyxE_9TBHA | |
| 211d | Secondary | Determine the exact perimeter of a simple fraction of a circle. | drfrost.org/explorer.php?ssid=1600 | https://www.youtube-nocookie.com/embed/YnzS0UAocwg | |
| 211e | Secondary | Solve problems involving the cost of covering a fraction of a circle or the quantity of materials needed. | drfrost.org/explorer.php?ssid=2034 | https://www.youtube-nocookie.com/embed/2Yw2YhHtzFI | |
| 211f | Secondary | Equate the area of fractions of circles or full circles to determine a length. | drfrost.org/explorer.php?ssid=2035 | https://www.youtube-nocookie.com/embed/cNqKVv_ISZY | |
| 211g | Secondary | Determine the shaded area where a semicircle is enclosed in a rectangle. | drfrost.org/explorer.php?ssid=5230 | https://www.youtube-nocookie.com/embed/M_FaiPHbGdE | |
| 212 | Secondary | Exam Practice: Perimeter of compound shapes that includes curved edges | drfrost.org/explorer.php?ssid=351 | E212 | |
| 212a | Secondary | Determine the perimeter of a standard running track. | drfrost.org/explorer.php?ssid=2094 | ||
| 212b | Secondary | Determine the perimeter of a compound shape involving a rectangle and a fraction of a circle. | drfrost.org/explorer.php?ssid=2095 | ||
| 213 | Secondary | Exam Practice: Area of composite shapes involving circles | drfrost.org/explorer.php?ssid=4249 | E213 | |
| 213a | Secondary | Determine the area of an annulus/ring. | drfrost.org/explorer.php?ssid=5231 | ||
| 213b | Secondary | Determine the area of a fraction of an annulus/ring. | drfrost.org/explorer.php?ssid=5232 | ||
| 213c | Secondary | Determine the shaded area where a circle is enclosed in a square. | drfrost.org/explorer.php?ssid=5233 | ||
| 213d | Secondary | Determine the shaded area where one or more circles is enclosed in a rectangle. | drfrost.org/explorer.php?ssid=1602 | https://www.youtube-nocookie.com/embed/nmjUy3_OaFQ | |
| 213e | Secondary | Determine the exact shaded area where one or more circles is enclosed in a rectangle. | drfrost.org/explorer.php?ssid=1603 | https://www.youtube-nocookie.com/embed/nmjUy3_OaFQ | |
| 213f | Secondary | Determine the remaining area where a semicircle is cut from a quarter circle. | drfrost.org/explorer.php?ssid=2110 | ||
| 213g | Secondary | Determine the area of a polygon joined to a fraction of a circle. | drfrost.org/explorer.php?ssid=2180 | ||
| 213h | Secondary | Determine the area of a segment formed within a quarter circle. | drfrost.org/explorer.php?ssid=5234 | ||
| 213i | Secondary | Solve problems involving cost and a composite shape with curved areas. | drfrost.org/explorer.php?ssid=5235 | ||
| 214 | Secondary | Exam Practice: Determining what percentage one number is of another | drfrost.org/explorer.php?ssid=49 | https://www.youtube-nocookie.com/embed/-j0LFo1TKBg | E214 |
| 214a | Secondary | Determine what percentage one number is of another. | drfrost.org/explorer.php?ssid=883 | https://www.youtube-nocookie.com/embed/KJT1fti5lwU | K207 |
| 214b | Secondary | Determine an unknown percentage in two related percentages of different amounts. | drfrost.org/explorer.php?ssid=8878 | ||
| 215 | Secondary | Exam Practice: Percentage change | drfrost.org/explorer.php?ssid=50 | https://www.youtube-nocookie.com/embed/3cVed2FkrYY | E215 |
| 215a | Secondary | Calculate a percentage change with a calculator. | drfrost.org/explorer.php?ssid=1268 | https://www.youtube-nocookie.com/embed/3n8i3Ca5qcQ | K208 |
| 215b | Secondary | Calculate percentage profit or loss when selling items at a fixed price. | drfrost.org/explorer.php?ssid=2172 | ||
| 215c | Secondary | Calculate percentage profit or loss when selling items at variable prices. | drfrost.org/explorer.php?ssid=2179 | ||
| 215d | Secondary | Calculate a percentage change in context (excluding profit/loss). | drfrost.org/explorer.php?ssid=2266 | ||
| 216 | Secondary | Exam Practice: Percentage error and relative error | drfrost.org/explorer.php?ssid=4250 | E216 | |
| 216a | Secondary | Calculate percentage error. | drfrost.org/explorer.php?ssid=2242 | ||
| 216b | Secondary | Calculate relative error. | drfrost.org/explorer.php?ssid=5237 | ||
| 217 | Secondary | Exam Practice: Percentage of an amount, greater than 100%, by chunking | drfrost.org/explorer.php?ssid=4251 | E217 | |
| 217a | Secondary | Calculate a percentage of an amount (greater than 100%) by chunking. | drfrost.org/explorer.php?ssid=5238 | ||
| 218 | Secondary | Exam Practice: Percentage of an amount, by multiplying by an equivalent fraction | drfrost.org/explorer.php?ssid=4252 | E218 | |
| 218a | Secondary | Rewrite a percentage calculation using an equivalent fraction. | drfrost.org/explorer.php?ssid=5239 | ||
| 218b | Secondary | Calculate a percentage of an amount (less than 100%) by multiplication by an equivalent fraction. | drfrost.org/explorer.php?ssid=5240 | ||
| 218c | Secondary | Calculate a percentage of an amount (greater than 100%) by multiplication by an equivalent fraction. | drfrost.org/explorer.php?ssid=5241 | ||
| 219 | Secondary | Exam Practice: Percentage of an amount, using decimal multipliers | drfrost.org/explorer.php?ssid=537 | E219 | |
| 219a | Secondary | Determine the decimal multiplier for a percentage less than 100%. | drfrost.org/explorer.php?ssid=1202 | https://www.youtube-nocookie.com/embed/zNh1_IGyqbE | K211 |
| 219b | Secondary | Calculate the percentage of an amount (less than 100%) using decimal multipliers. | drfrost.org/explorer.php?ssid=620 | https://www.youtube-nocookie.com/embed/16Cw4UIYW74 | K213 |
| 219c | Secondary | Determine the decimal multiplier for a percentage greater than 100%. | drfrost.org/explorer.php?ssid=5242 | ||
| 219d | Secondary | Calculate the percentage of an amount (greater than 100%) using decimal multipliers. | drfrost.org/explorer.php?ssid=5243 | ||
| 219e | Secondary | Determine the decimal multiplier where the percentage is a decimal. | drfrost.org/explorer.php?ssid=1292 | https://www.youtube-nocookie.com/embed/wWfI-RNuYXc | K212 |
| 219f | Secondary | Calculate the amount after simple interest. | drfrost.org/explorer.php?ssid=969 | https://www.youtube-nocookie.com/embed/lACnWvGArhg | K426 |
| 219g | Secondary | Calculate the simple interest rate from the starting and final amounts in the account. | drfrost.org/explorer.php?ssid=8785 | ||
| 219h | Secondary | Calculate the amount of time for an amount to increase under simple interest. | drfrost.org/explorer.php?ssid=8864 | ||
| 219i | Secondary | Solve a multi-step problem in context involving a percentage of an amount. | drfrost.org/explorer.php?ssid=1876 | https://www.youtube-nocookie.com/embed/fdlMYi5j-VM | |
| 219j | Secondary | Determine the percentage of some portion of an amount. | drfrost.org/explorer.php?ssid=1886 | https://www.youtube-nocookie.com/embed/JUdKlhKVfYo | |
| 220 | Secondary | Exam Practice: Value after a simple percentage change, using non-calculator methods | drfrost.org/explorer.php?ssid=52 | https://www.youtube-nocookie.com/embed/YIkRY0curBc | E220 |
| 220a | Secondary | Increase or decrease an amount by a percentage using chunking. | drfrost.org/explorer.php?ssid=834 | https://www.youtube-nocookie.com/embed/9HdjlMAhBbw | K210 |
| 220b | Secondary | Solve problems in context involving percentage changes and arithmetic operations, without a calculator. | drfrost.org/explorer.php?ssid=5244 | ||
| 220c | Secondary | Solve value for money problems involving a percentage change without a calculator. | drfrost.org/explorer.php?ssid=5245 | ||
| 221 | Secondary | Exam Practice: Value after a general percentage change, using decimal multipliers | drfrost.org/explorer.php?ssid=536 | E221 | |
| 221a | Secondary | Determine the decimal multiplier that would lead to a percentage increase or decrease. | drfrost.org/explorer.php?ssid=1875 | https://www.youtube-nocookie.com/embed/3F9LpJEyGLE | |
| 221b | Secondary | Increase or decrease an amount by a percentage with a calculator. | drfrost.org/explorer.php?ssid=621 | https://www.youtube-nocookie.com/embed/AsW_3-w7vHA | K214 |
| 221c | Secondary | Solve a multi-step problem in context involving a percentage change with decimal multipliers. | drfrost.org/explorer.php?ssid=1895 | https://www.youtube-nocookie.com/embed/2fnHP-44Gtg | |
| 221d | Secondary | Solve value for money problems involving a percentage change with a calculator. | drfrost.org/explorer.php?ssid=5246 | ||
| 222 | Secondary | Exam Practice: Reverse percentage problems using chunking | drfrost.org/explorer.php?ssid=4253 | E222 | |
| 222a | Secondary | Calculate the original value given a percentage of the value. | drfrost.org/explorer.php?ssid=8558 | ||
| 222b | Secondary | Calculate the original value before a percentage increase using chunking. | drfrost.org/explorer.php?ssid=5247 | ||
| 222c | Secondary | Calculate the original value before a percentage decrease using chunking. | drfrost.org/explorer.php?ssid=5248 | ||
| 223 | Secondary | Exam Practice: Reverse percentage problems using decimal multipliers | drfrost.org/explorer.php?ssid=53 | https://www.youtube-nocookie.com/embed/48KHVQJfwPc | E223 |
| 223a | Secondary | Calculate the original value given a percentage of the value using decimal multipliers. | drfrost.org/explorer.php?ssid=8559 | ||
| 223b | Secondary | Calculate the original value before a percentage increase using decimal multipliers. | drfrost.org/explorer.php?ssid=744 | https://www.youtube-nocookie.com/embed/BrpHQyMFI48 | K424 |
| 223c | Secondary | Calculate the original value before a percentage decrease using decimal multipliers. | drfrost.org/explorer.php?ssid=8560 | ||
| 223d | Secondary | Calculate the original value given the value of a percentage increase or decrease, using decimal multipliers. | drfrost.org/explorer.php?ssid=745 | https://www.youtube-nocookie.com/embed/aIcEnfI0hDY | K425 |
| 223e | Secondary | Calculate the value of a percentage increase or decrease given the value after the change, using decimal multipliers. | drfrost.org/explorer.php?ssid=8832 | ||
| 223f | Secondary | Calculate the final value given only the percentage increase or decrease and its value, using decimal multipliers. | drfrost.org/explorer.php?ssid=8833 | ||
| 224 | Secondary | Exam Practice: Simplifying ratios and forming ratios from a given context | drfrost.org/explorer.php?ssid=66 | https://www.youtube-nocookie.com/embed/7_UQJ82Et2M | E224 |
| 224a | Secondary | Write a ratio with two parts in its simplest form. | drfrost.org/explorer.php?ssid=955 | https://www.youtube-nocookie.com/embed/26IywWqJb6g | K196 |
| 224b | Secondary | Write a ratio with three parts in its simplest form. | drfrost.org/explorer.php?ssid=5249 | ||
| 224c | Secondary | Determine a ratio in simplest form from a diagram. | drfrost.org/explorer.php?ssid=5250 | ||
| 224d | Secondary | Write a ratio in the form 1 : n or n : 1. | drfrost.org/explorer.php?ssid=956 | https://www.youtube-nocookie.com/embed/9q-SwK4n0MA | K197 |
| 224e | Secondary | Simplify a ratio involving mismatched metric units or time. | drfrost.org/explorer.php?ssid=1569 | K749 | |
| 224f | Secondary | Determine a ratio from a given graph or chart. | drfrost.org/explorer.php?ssid=8865 | ||
| 224g | Secondary | Determine a ratio from a given context involving arithmetic operations, fractions of an amount and percentages. | drfrost.org/explorer.php?ssid=1441 | K200 | |
| 224h | Secondary | Determine a ratio from a given context involving area or perimeter. | drfrost.org/explorer.php?ssid=8867 | ||
| 224i | Secondary | Write a simple multiplicative relationship in words as a ratio. | drfrost.org/explorer.php?ssid=8866 | ||
| 224j | Secondary | Convert an equation involving two variables into a ratio. | drfrost.org/explorer.php?ssid=1255 | https://www.youtube-nocookie.com/embed/7ou72pnJ47s | K695 |
| 224k | Secondary | Write a numeric ratio as a linear function. | drfrost.org/explorer.php?ssid=8815 | ||
| 225 | Secondary | Exam Practice: Finding a quantity within a ratio where either the total amount, a particular amount or a difference in an amount is given | drfrost.org/explorer.php?ssid=67 | https://www.youtube-nocookie.com/embed/bp4Auq5CZTk | E225 |
| 225a | Secondary | Share an amount into a ratio with two parts. | drfrost.org/explorer.php?ssid=704 | https://www.youtube-nocookie.com/embed/iN7nEIkxD5o | K202 |
| 225b | Secondary | Share an amount into a ratio with three parts. | drfrost.org/explorer.php?ssid=705 | https://www.youtube-nocookie.com/embed/yu6l8tGIn80 | K203 |
| 225c | Secondary | Determine a value in a ratio when the total of the parts is given. | drfrost.org/explorer.php?ssid=5252 | ||
| 225d | Secondary | Determine a value in a ratio when one amount is given. | drfrost.org/explorer.php?ssid=1267 | https://www.youtube-nocookie.com/embed/6ldL4hoCTfM | K205 |
| 225e | Secondary | Determine a value in a ratio when the difference between two amounts is given. | drfrost.org/explorer.php?ssid=1266 | https://www.youtube-nocookie.com/embed/_3VqXZZEibw | K204 |
| 225f | Secondary | Share quantities in a ratio to subsequently calculate cost. | drfrost.org/explorer.php?ssid=5253 | ||
| 225g | Secondary | Solve problems involving sharing in a ratio and angle facts. | drfrost.org/explorer.php?ssid=8859 | ||
| 226 | Secondary | Exam Practice: Relationship between fractions, percentages and ratio | drfrost.org/explorer.php?ssid=4254 | E226 | |
| 226a | Secondary | Determine the fraction of the whole represented by each part of a given ratio. | drfrost.org/explorer.php?ssid=5254 | ||
| 226b | Secondary | Determine the percentage of the whole represented by each part of a given ratio. | drfrost.org/explorer.php?ssid=5255 | ||
| 226c | Secondary | Convert fractional amounts to a ratio. | drfrost.org/explorer.php?ssid=5251 | ||
| 226d | Secondary | Solve problems involving fractions, percentages and ratios. | drfrost.org/explorer.php?ssid=5256 | ||
| 227 | Secondary | Exam Practice: Combining ratios and proportions into a single ratio | drfrost.org/explorer.php?ssid=534 | E227 | |
| 227a | Secondary | Combine two ratios to form one. | drfrost.org/explorer.php?ssid=1256 | https://www.youtube-nocookie.com/embed/pFl10x2Vazg | K206 |
| 227b | Secondary | Combine two ratios to determine what fraction or percentage of items are a particular type. | drfrost.org/explorer.php?ssid=1877 | https://www.youtube-nocookie.com/embed/SNIIDW3Yppw | |
| 227c | Secondary | Combine two ratios involving algebraic terms. | drfrost.org/explorer.php?ssid=1878 | https://www.youtube-nocookie.com/embed/2NHdHTQXngw | |
| 227d | Secondary | Determine a value in a ratio when another ratio and an amount is given. | drfrost.org/explorer.php?ssid=1879 | https://www.youtube-nocookie.com/embed/M8bh4uTbMWc | |
| 227e | Secondary | Combine two three-part ratios to form one. | drfrost.org/explorer.php?ssid=1887 | https://www.youtube-nocookie.com/embed/o-JgNJ07JjY | |
| 227f | Secondary | Combine ratios in order to reflect on the total possible quantity of items. | drfrost.org/explorer.php?ssid=1888 | https://www.youtube-nocookie.com/embed/mSCiyQMpy4k | |
| 227g | Secondary | Problem solve involving combining ratios and lengths. | drfrost.org/explorer.php?ssid=1889 | https://www.youtube-nocookie.com/embed/CGbBnQKiOfk | |
| 227h | Secondary | Combine ratios where the second ratio is a subdivision of one of the parts of the first. | drfrost.org/explorer.php?ssid=1893 | https://www.youtube-nocookie.com/embed/AvLkhQYt6wM | |
| 227i | Secondary | Combine ratios where the second two ratios are subdivisions of each part of the first. | drfrost.org/explorer.php?ssid=1897 | https://www.youtube-nocookie.com/embed/X8jfRb4Pq10 | |
| 227j | Secondary | Form a four-part ratio. | drfrost.org/explorer.php?ssid=1566 | https://www.youtube-nocookie.com/embed/XU566aVi5gM | K746 |
| 228 | Secondary | Exam Practice: Front elevation, side elevation and plan of a 3D shape | drfrost.org/explorer.php?ssid=402 | https://www.youtube-nocookie.com/embed/LAtTeUmSBBE | E228 |
| 228a | Secondary | Draw the front elevation, side elevation or plan of a shape made from 1 \,\textrm{cm}^3 blocks. | drfrost.org/explorer.php?ssid=5257 | ||
| 228b | Secondary | Draw the front elevation, side elevation or plan of a 3D shape on squared paper. | drfrost.org/explorer.php?ssid=1014 | https://www.youtube-nocookie.com/embed/pqD0Obttzyc | K545 |
| 229 | Secondary | Exam Practice: Draw 3D shapes on isometric paper. | drfrost.org/explorer.php?ssid=4255 | E229 | |
| 229a | Secondary | Draw a shape made of 1 \,\textrm{cm}^3 blocks on isometric paper. | drfrost.org/explorer.php?ssid=5258 | ||
| 229b | Secondary | Draw cubes and cuboids to scale on isometric paper. | drfrost.org/explorer.php?ssid=5259 | ||
| 229c | Secondary | Draw triangular prisms on isometric paper. | drfrost.org/explorer.php?ssid=5260 | ||
| 229d | Secondary | Draw prisms with rectilinear cross-sections on isometric paper. | drfrost.org/explorer.php?ssid=5261 | ||
| 229e | Secondary | Draw a 3D shape on isometric paper given its net. | drfrost.org/explorer.php?ssid=5262 | ||
| 229f | Secondary | Draw a 3D shape on isometric paper, given its plan and elevations. | drfrost.org/explorer.php?ssid=5263 | ||
| 230 | Secondary | Exam Practice: Problem solving involving volume of a cuboid | drfrost.org/explorer.php?ssid=4256 | E230 | |
| 230a | Secondary | Calculate an unknown dimension of a cuboid given its volume. | drfrost.org/explorer.php?ssid=1363 | https://www.youtube-nocookie.com/embed/QbbqCyiGyAI | K312 |
| 230b | Secondary | Calculate an unknown dimension of a cube given its volume. | drfrost.org/explorer.php?ssid=5264 | ||
| 230c | Secondary | Solve problems involving a fixed volume to fill or to fill with using a cuboid. | drfrost.org/explorer.php?ssid=8670 | ||
| 230d | Secondary | Solve problems involving the depth of a filled container. | drfrost.org/explorer.php?ssid=1918 | https://www.youtube-nocookie.com/embed/04_mQG5EQlA | |
| 230e | Secondary | Solve problems involving the capacity of one cuboid in terms of the volume of another. | drfrost.org/explorer.php?ssid=1924 | ||
| 230f | Secondary | Solve problems involving fitting copies of a smaller cuboid into a larger one. | drfrost.org/explorer.php?ssid=8671 | ||
| 230g | Secondary | Solve problems involving cuboids with equal volume. | drfrost.org/explorer.php?ssid=1925 | ||
| 230h | Secondary | Form an expression for the volume of a cuboid or cube, involving simple variable side lengths only. | drfrost.org/explorer.php?ssid=5265 | ||
| 231 | Secondary | Exam Practice: Volume of a prism | drfrost.org/explorer.php?ssid=113 | https://www.youtube-nocookie.com/embed/4aGCTP4XYtw | E231 |
| 231a | Secondary | Determine the volume of a prism by counting cubes in the cross-section. | drfrost.org/explorer.php?ssid=5266 | ||
| 231b | Secondary | Calculate the volume of a prism, given the area of the cross-section. | drfrost.org/explorer.php?ssid=5267 | ||
| 231c | Secondary | Calculate the volume of a prism, where the area of the cross-section must be calculated. | drfrost.org/explorer.php?ssid=778 | https://www.youtube-nocookie.com/embed/XkmjAxDJ71M | K313 |
| 231d | Secondary | Calculate the volume of a prism where the cross section is a compound shape. | drfrost.org/explorer.php?ssid=1659 | ||
| 231e | Secondary | Determine an unknown dimension in a triangular prism given the volume. | drfrost.org/explorer.php?ssid=1535 | https://www.youtube-nocookie.com/embed/F1Zkr7hszKY | K731 |
| 231f | Secondary | Determine the volume of a composite solid made from other prisms joined together. | drfrost.org/explorer.php?ssid=5268 | ||
| 231g | Secondary | Determine the volume of a solid involving one prism cut out of another. | drfrost.org/explorer.php?ssid=5269 | ||
| 231h | Secondary | Form an expression for the volume of a prism, involving simple variable side lengths only. | drfrost.org/explorer.php?ssid=5270 | ||
| 232 | Secondary | Exam Practice: Surface area of a cuboid and prisms | drfrost.org/explorer.php?ssid=379 | https://www.youtube-nocookie.com/embed/EHsP0fGlQkM | E232 |
| 232a | Secondary | Calculate the surface area of a cuboid. | drfrost.org/explorer.php?ssid=676 | https://www.youtube-nocookie.com/embed/gi-cuUDmJw0 | K315 |
| 232b | Secondary | Calculate the surface area of a cube. | drfrost.org/explorer.php?ssid=5271 | ||
| 232c | Secondary | Calculate the surface area of a solid by counting congruent square faces. | drfrost.org/explorer.php?ssid=8570 | ||
| 232d | Secondary | Form an expression for the surface area of a cuboid, involving simple variable side lengths only. | drfrost.org/explorer.php?ssid=5272 | ||
| 232e | Secondary | Determine the side length of a cube given its surface area. | drfrost.org/explorer.php?ssid=5273 | ||
| 232f | Secondary | Determine a missing dimension of a cuboid given its surface area and two other dimensions. | drfrost.org/explorer.php?ssid=5274 | ||
| 232g | Secondary | Determine the surface area of a cube given its volume. | drfrost.org/explorer.php?ssid=5275 | ||
| 232h | Secondary | Determine the volume of a cube given its surface area. | drfrost.org/explorer.php?ssid=5276 | ||
| 232i | Secondary | Calculate the surface area of a prism. | drfrost.org/explorer.php?ssid=1027 | https://www.youtube-nocookie.com/embed/G1yv3mfPg_Y | K314 |
| 232j | Secondary | Form an expression for the surface area of a prism, involving simple variable side lengths only. | drfrost.org/explorer.php?ssid=5277 | ||
| 232k | Secondary | Determine a missing dimension of a prism given its surface area and other dimensions. | drfrost.org/explorer.php?ssid=5278 | ||
| 232l | Secondary | Calculate costs using a surface area. | drfrost.org/explorer.php?ssid=1505 | K709 | |
| 233 | Secondary | Exam Practice: Volume of a cylinder | drfrost.org/explorer.php?ssid=394 | https://www.youtube-nocookie.com/embed/JOqKkrBBJHQ | E233 |
| 233a | Secondary | Calculate the volume of a cylinder from its radius and height. | drfrost.org/explorer.php?ssid=813 | https://www.youtube-nocookie.com/embed/hZdcXE83LxU | K316 |
| 233b | Secondary | Calculate the volume of a cylinder from its diameter and height. | drfrost.org/explorer.php?ssid=814 | https://www.youtube-nocookie.com/embed/ZhHpG0jXlCM | K317 |
| 233c | Secondary | Calculate the volume of a semi-cylinder from its diameter or radius. | drfrost.org/explorer.php?ssid=8271 | ||
| 233d | Secondary | Determine an unknown dimension of a cylinder given its volume. | drfrost.org/explorer.php?ssid=1533 | K729 | |
| 233e | Secondary | Determine an unknown dimension of a semi-cylinder given its volume. | drfrost.org/explorer.php?ssid=8272 | ||
| 233f | Secondary | Determine the volume of a composite solid, one of them cylindrical. | drfrost.org/explorer.php?ssid=5279 | ||
| 233g | Secondary | Determine the volume of a solid involving one solid cut out of another, one of them cylindrical. | drfrost.org/explorer.php?ssid=5280 | ||
| 233h | Secondary | Determine the volume of a composite solid, one of them semi-cylindrical. | drfrost.org/explorer.php?ssid=8273 | ||
| 233i | Secondary | Solve problems involving cylinders or a cylinder and cuboid with equal volume. | drfrost.org/explorer.php?ssid=5281 | ||
| 233j | Secondary | Determine an expression for a volume, involving simple variable side lengths only. | drfrost.org/explorer.php?ssid=5282 | ||
| 234 | Secondary | Exam Practice: Surface area of a cylinder | drfrost.org/explorer.php?ssid=425 | https://www.youtube-nocookie.com/embed/dRfozegH8TE | E234 |
| 234a | Secondary | Calculate the surface area of a cylinder from its radius and height. | drfrost.org/explorer.php?ssid=1382 | https://www.youtube-nocookie.com/embed/Yo0t7a1_qr8 | K318 |
| 234b | Secondary | Calculate the surface area of a cylinder from its diameter and height. | drfrost.org/explorer.php?ssid=1381 | https://www.youtube-nocookie.com/embed/yW-Vorzr1NM | K319 |
| 234c | Secondary | Calculate the surface area of a semi-cylinder from its diameter or radius. | drfrost.org/explorer.php?ssid=8274 | ||
| 234d | Secondary | Determine the height of a cylinder given its surface area. | drfrost.org/explorer.php?ssid=1534 | K730 | |
| 234e | Secondary | Solve problems involving coating or covering a cylinder. | drfrost.org/explorer.php?ssid=2299 | ||
| 234f | Secondary | Determine the surface area of a cylinder given the volume and a length. | drfrost.org/explorer.php?ssid=2300 | ||
| 234g | Secondary | Determine the surface area of a composite solid, involving a cylinder. | drfrost.org/explorer.php?ssid=2363 | ||
| 234h | Secondary | Determine the surface area of a composite solid, involving a semi-cylinder. | drfrost.org/explorer.php?ssid=8276 | ||
| 235 | Secondary | Exam Practice: Reading and interpreting ungrouped frequency tables | drfrost.org/explorer.php?ssid=416 | https://www.youtube-nocookie.com/embed/x0hRBgO47oo | E235 |
| 235a | Secondary | Read frequency values from ungrouped frequency tables. | drfrost.org/explorer.php?ssid=1401 | https://www.youtube-nocookie.com/embed/9xOsjkfe4lY | K246 |
| 235b | Secondary | Form an ungrouped frequency table from discrete data. | drfrost.org/explorer.php?ssid=703 | https://www.youtube-nocookie.com/embed/Kf3tsCFWIGA | K247 |
| 235c | Secondary | Calculate the total from an ungrouped frequency table. | drfrost.org/explorer.php?ssid=1436 | https://www.youtube-nocookie.com/embed/d716EPk27pk | K248 |
| 235d | Secondary | Determine an unknown frequency in an ungrouped frequency table, given the total. | drfrost.org/explorer.php?ssid=5283 | ||
| 236 | Secondary | Exam Practice: Mean from ungrouped frequency tables | drfrost.org/explorer.php?ssid=342 | https://www.youtube-nocookie.com/embed/Ufl4WNDlCXA | E236 |
| 236a | Secondary | Calculate mean from ungrouped frequency tables. | drfrost.org/explorer.php?ssid=742 | https://www.youtube-nocookie.com/embed/PknjEHjGsos | K249 |
| 236b | Secondary | Determine an unknown frequency in an ungrouped frequency table, given the mean. | drfrost.org/explorer.php?ssid=5284 | ||
| 236c | Secondary | Determine the mean from a pictogram. | drfrost.org/explorer.php?ssid=5285 | ||
| 236d | Secondary | Determine the mean from a bar chart. | drfrost.org/explorer.php?ssid=5286 | ||
| 237 | Secondary | Exam Practice: Median, mode and range from ungrouped frequency tables | drfrost.org/explorer.php?ssid=4257 | E237 | |
| 237a | Secondary | Determine the median from an ungrouped frequency table. | drfrost.org/explorer.php?ssid=1394 | https://www.youtube-nocookie.com/embed/-Uwe-x9FUrk | K252 |
| 237b | Secondary | Determine the mode from an ungrouped frequency table. | drfrost.org/explorer.php?ssid=1387 | https://www.youtube-nocookie.com/embed/d31sB8NM27k | K250 |
| 237c | Secondary | Calculate the range from an ungrouped frequency table. | drfrost.org/explorer.php?ssid=1402 | https://www.youtube-nocookie.com/embed/vn5Lw8Y75tw | K251 |
| 238 | Secondary | Exam Practice: Two-way tables | drfrost.org/explorer.php?ssid=413 | https://www.youtube-nocookie.com/embed/7QvcSidIuhk | E238 |
| 238a | Secondary | Read values off a two-way table. | drfrost.org/explorer.php?ssid=5287 | ||
| 238b | Secondary | Complete a partially filled two-way table. | drfrost.org/explorer.php?ssid=965 | https://www.youtube-nocookie.com/embed/CdPxbM5FkIU | K84 |
| 238c | Secondary | Complete an empty two-way table using written information. | drfrost.org/explorer.php?ssid=5288 | ||
| 238d | Secondary | Use written information to determine an unknown frequency, via use of a two-way table. | drfrost.org/explorer.php?ssid=5289 | ||
| 238e | Secondary | Determine a percentage from a two-way table. | drfrost.org/explorer.php?ssid=8561 | ||
| 239 | Secondary | Exam Practice: Dual and stacked bar charts | drfrost.org/explorer.php?ssid=4258 | E239 | |
| 239a | Secondary | Read off a single value from a dual bar chart. | drfrost.org/explorer.php?ssid=5290 | ||
| 239b | Secondary | Calculate the difference between values in a dual bar chart. | drfrost.org/explorer.php?ssid=5291 | ||
| 239c | Secondary | Identify a value pair with the highest or lowest overall total. | drfrost.org/explorer.php?ssid=5292 | ||
| 239d | Secondary | Identify value pairs with a given total or constraint. | drfrost.org/explorer.php?ssid=5293 | ||
| 239e | Secondary | Calculate the total of each data set in a dual bar chart. | drfrost.org/explorer.php?ssid=5294 | ||
| 239f | Secondary | Read off a single value from a stacked bar chart. | drfrost.org/explorer.php?ssid=5295 | ||
| 239g | Secondary | Calculate totals from a stacked bar chart. | drfrost.org/explorer.php?ssid=5296 | ||
| 239h | Secondary | Calculate the difference between values in a stacked bar chart. | drfrost.org/explorer.php?ssid=5297 | ||
| 239i | Secondary | Interpret a back-to-back bar chart. | drfrost.org/explorer.php?ssid=5298 | ||
| 240 | Secondary | Exam Practice: Stem-and-leaf diagrams | drfrost.org/explorer.php?ssid=407 | E240 | |
| 240a | Secondary | Draw a stem-and-leaf diagram. | drfrost.org/explorer.php?ssid=723 | https://www.youtube-nocookie.com/embed/AZPCcHqG6uA | K261 |
| 240b | Secondary | Interpret a stem-and-leaf diagram. | drfrost.org/explorer.php?ssid=5299 | ||
| 240c | Secondary | Determine the mode from a stem-and-leaf diagram. | drfrost.org/explorer.php?ssid=726 | https://www.youtube-nocookie.com/embed/o0yl5xDJQw0 | K264 |
| 240d | Secondary | Calculate the range from a stem-and-leaf diagram. | drfrost.org/explorer.php?ssid=727 | https://www.youtube-nocookie.com/embed/cnUZx9nt9XQ | K265 |
| 240e | Secondary | Determine the median from a stem-and-leaf diagram. | drfrost.org/explorer.php?ssid=725 | https://www.youtube-nocookie.com/embed/1bAhrqOZegk | K263 |
| 240f | Secondary | Calculate the mean from a stem-and-leaf diagram. | drfrost.org/explorer.php?ssid=724 | K262 | |
| 240g | Secondary | Draw a back-to-back stem-and-leaf diagram. | drfrost.org/explorer.php?ssid=5300 | ||
| 240h | Secondary | Interpret data in a back-to-back stem-and-leaf diagram. | drfrost.org/explorer.php?ssid=5301 | ||
| 240i | Secondary | Compare data sets using stem-and-leaf diagrams. | drfrost.org/explorer.php?ssid=5302 | ||
| 240j | Secondary | Determine a change to the range or median given updated data in a stem-and-leaf diagrams. | drfrost.org/explorer.php?ssid=5303 | ||
| 241 | Secondary | Exam Practice: Frequency trees | drfrost.org/explorer.php?ssid=4259 | E241 | |
| 241a | Secondary | Read values off a frequency tree. | drfrost.org/explorer.php?ssid=5304 | ||
| 241b | Secondary | Draw a frequency tree from written information. | drfrost.org/explorer.php?ssid=1012 | https://www.youtube-nocookie.com/embed/PcCFVFzga04 | K85 |
| 242 | Secondary | Exam Practice: Construct Venn diagrams | drfrost.org/explorer.php?ssid=358 | https://www.youtube-nocookie.com/embed/7s8bN0J7jbE | E242 |
| 242a | Secondary | Understand what is represented by each region or group of regions in a Venn diagram with 2 sets. | drfrost.org/explorer.php?ssid=5305 | ||
| 242b | Secondary | Draw a Venn diagram to indicate relationships between different groups. | drfrost.org/explorer.php?ssid=5306 | ||
| 242c | Secondary | Construct a Venn diagram with 2 sets from a list of elements. | drfrost.org/explorer.php?ssid=1626 | ||
| 242d | Secondary | Construct a Venn diagram with 2 sets given totals. | drfrost.org/explorer.php?ssid=1041 | https://www.youtube-nocookie.com/embed/2426CiY-sOg | K465 |
| 242e | Secondary | Construct a Venn diagram for mutually exclusive events. | drfrost.org/explorer.php?ssid=5307 | ||
| 242f | Secondary | Construct a Venn diagram where one set is a subset of another. | drfrost.org/explorer.php?ssid=5308 | ||
| 242g | Secondary | Construct a Venn diagram with 3 sets given totals. | drfrost.org/explorer.php?ssid=1133 | https://www.youtube-nocookie.com/embed/_3PdqHV0qhk | K466 |
| 242h | Secondary | Determine the value of a variable given algebraic frequencies in a Venn diagram. | drfrost.org/explorer.php?ssid=8439 | ||
| 243 | Secondary | Exam Practice: Union, intersection and complements of sets, including the universal and empty sets | drfrost.org/explorer.php?ssid=359 | https://www.youtube-nocookie.com/embed/4fu0NsDhc_g | E243 |
| 243a | Secondary | Recognise set notation for the universal set, union, intersection and complement from a shaded Venn diagram with 2 sets. | drfrost.org/explorer.php?ssid=1316 | https://www.youtube-nocookie.com/embed/b1ZetSJaQkw | K467 |
| 243b | Secondary | Understand notation for subsets, membership and empty sets. | drfrost.org/explorer.php?ssid=5309 | ||
| 243c | Secondary | Recognise set notation for the set difference from a shaded Venn diagram with 2 sets. | drfrost.org/explorer.php?ssid=5310 | ||
| 243d | Secondary | Combine various elements of set notation for a Venn diagram with 2 sets, including associativity and distributivity of notation. | drfrost.org/explorer.php?ssid=5311 | ||
| 243e | Secondary | Write a contextual interpretation of an expression using set notation. | drfrost.org/explorer.php?ssid=8604 | ||
| 243f | Secondary | Recognise set notation for the universal set, union, intersection and complement from a shaded Venn diagram with 3 sets. | drfrost.org/explorer.php?ssid=5312 | ||
| 243g | Secondary | List elements using set notation. | drfrost.org/explorer.php?ssid=1570 | K750 | |
| 243h | Secondary | Determine the number of elements in a set given a list. | drfrost.org/explorer.php?ssid=1571 | K751 | |
| 243i | Secondary | Determine the number of elements in a set given a Venn diagram of frequencies. | drfrost.org/explorer.php?ssid=5313 | ||
| 243j | Secondary | Construct a Venn diagram of frequencies given numbers of elements in various sets. | drfrost.org/explorer.php?ssid=5314 | ||
| 243k | Secondary | Determine the number of elements in a given set by constructing a Venn diagram of frequencies. | drfrost.org/explorer.php?ssid=8440 | ||
| 244 | Secondary | Exam Practice: Scatter graphs and correlation | drfrost.org/explorer.php?ssid=338 | E244 | |
| 244a | Secondary | Plot points on a scatter graph. | drfrost.org/explorer.php?ssid=894 | https://www.youtube-nocookie.com/embed/yHRU5zmOXnI | K258 |
| 244b | Secondary | Interpret points on a scatter graph. | drfrost.org/explorer.php?ssid=2315 | ||
| 244c | Secondary | Identify an outlier on a scatter graph. | drfrost.org/explorer.php?ssid=2293 | ||
| 244d | Secondary | State the correlation represented on a scatter graph. | drfrost.org/explorer.php?ssid=896 | https://www.youtube-nocookie.com/embed/KKq9yvBNr8g | K259 |
| 244e | Secondary | State the strength of the correlation represented on a scatter graph. | drfrost.org/explorer.php?ssid=2330 | ||
| 244f | Secondary | Interpret the correlation represented on a scatter graph. | drfrost.org/explorer.php?ssid=2331 | ||
| 244g | Secondary | Appreciate that correlation does not imply causality. | drfrost.org/explorer.php?ssid=8510 | ||
| 244h | Secondary | Calculate the mean from some points on a scatter diagram. | drfrost.org/explorer.php?ssid=2279 | ||
| 244i | Secondary | Summarise data from a scatter graph. | drfrost.org/explorer.php?ssid=2332 | ||
| 245 | Secondary | Exam Practice: Line of best fit | drfrost.org/explorer.php?ssid=4260 | E245 | |
| 245a | Secondary | Plot a line of best fit on a scatter graph. | drfrost.org/explorer.php?ssid=5315 | ||
| 245b | Secondary | Use a line of best fit on a scatter graph. | drfrost.org/explorer.php?ssid=897 | https://www.youtube-nocookie.com/embed/wfRz4ygeqGk | K260 |
| 245c | Secondary | Plot and then use a line of best fit on a scatter graph. | drfrost.org/explorer.php?ssid=5316 | ||
| 245d | Secondary | Understand interpolation and extrapolation on a scatter graph. | drfrost.org/explorer.php?ssid=5317 | ||
| 245e | Secondary | Calculate the mean point from a scatter diagram. | drfrost.org/explorer.php?ssid=8306 | ||
| 245f | Secondary | Plot a line of best fit using the mean point. | drfrost.org/explorer.php?ssid=5318 | ||
| 246 | Secondary | Exam Practice: Pie charts with any proportion | drfrost.org/explorer.php?ssid=337 | E246 | |
| 246a | Secondary | Draw a pie chart where the total is a factor or multiple of 360. | drfrost.org/explorer.php?ssid=5319 | ||
| 246b | Secondary | Draw a pie chart where the total is not a factor or multiple of 360. | drfrost.org/explorer.php?ssid=1036 | https://www.youtube-nocookie.com/embed/L2a98g8Lx_k | K267 |
| 246c | Secondary | Interpret a pie chart with marked angles, but no totals given. | drfrost.org/explorer.php?ssid=5320 | ||
| 246d | Secondary | Determine the frequency from a pie chart given marked angles and a total which is a factor or multiple of 360. | drfrost.org/explorer.php?ssid=5321 | ||
| 246e | Secondary | Determine the frequency from a pie chart given marked angles and any total. | drfrost.org/explorer.php?ssid=1051 | https://www.youtube-nocookie.com/embed/7VWgRl4roIY | K266 |
| 246f | Secondary | Determine the frequency from a pie chart given the frequency and angle of a segment. | drfrost.org/explorer.php?ssid=5322 | ||
| 246g | Secondary | Determine the frequency from a pie chart given the total or the frequency of a segment, where angles must be measured. | drfrost.org/explorer.php?ssid=5323 | ||
| 246h | Secondary | Understand the limitations of pie charts. | drfrost.org/explorer.php?ssid=5324 | ||
| 246i | Secondary | Compare pie charts with no totals. | drfrost.org/explorer.php?ssid=5325 | ||
| 246j | Secondary | Compare pie charts given totals or the frequency of a segment. | drfrost.org/explorer.php?ssid=5326 | ||
| 246k | Secondary | Compare data sets in pie charts and other representations. | drfrost.org/explorer.php?ssid=5327 | ||
| 247 | Secondary | Exam Practice: Probabilities using worded terms or placed on a number line between 0 and 1 | drfrost.org/explorer.php?ssid=411 | https://www.youtube-nocookie.com/embed/noJMMJXSdb0 | E247 |
| 247a | Secondary | Determine the most likely or least likely event from a list. | drfrost.org/explorer.php?ssid=5328 | ||
| 247b | Secondary | Describe probabilities using worded terms. | drfrost.org/explorer.php?ssid=997 | https://www.youtube-nocookie.com/embed/E_qUD_BnY7M | K72 |
| 247c | Secondary | Find possible outcomes given a worded probability. | drfrost.org/explorer.php?ssid=5329 | ||
| 247d | Secondary | Compare likelihood between events. | drfrost.org/explorer.php?ssid=5330 | ||
| 247e | Secondary | Determine outcomes based on relative likelihood of events. | drfrost.org/explorer.php?ssid=5331 | ||
| 247f | Secondary | Understand the probability scale from 0 to 1. | drfrost.org/explorer.php?ssid=5332 | ||
| 248 | Secondary | Exam Practice: Theoretical probabilities using counts | drfrost.org/explorer.php?ssid=350 | https://www.youtube-nocookie.com/embed/hhDVWfZpyps | E248 |
| 248a | Secondary | Determine a single probability using counts. | drfrost.org/explorer.php?ssid=960 | https://www.youtube-nocookie.com/embed/wQmT7RCd6Gk | K75 |
| 248b | Secondary | Determine the probability of an event not occurring using counts. | drfrost.org/explorer.php?ssid=1414 | https://www.youtube-nocookie.com/embed/zDs_iDULoNU | K79 |
| 248c | Secondary | Determine the probability of one event or another occurring using counts. | drfrost.org/explorer.php?ssid=5333 | ||
| 248d | Secondary | Place an event on a probability scale from 0 to 1. | drfrost.org/explorer.php?ssid=998 | K73 | |
| 248e | Secondary | Determine a probability using the total frequency in a two-way table. | drfrost.org/explorer.php?ssid=1435 | K76 | |
| 248f | Secondary | Determine a probability within a subgroup of a two-way table. | drfrost.org/explorer.php?ssid=5334 | ||
| 248g | Secondary | Determine a probability using the total frequency in a frequency tree. | drfrost.org/explorer.php?ssid=5335 | ||
| 248h | Secondary | Determine a probability within a subgroup of a frequency tree. | drfrost.org/explorer.php?ssid=5336 | ||
| 249 | Secondary | Exam Practice: Sample space diagrams | drfrost.org/explorer.php?ssid=348 | https://www.youtube-nocookie.com/embed/b9CGpXA6_8U | E249 |
| 249a | Secondary | List combined outcomes (not in a table) where one or both sets of outcomes are non-numeric. | drfrost.org/explorer.php?ssid=5337 | ||
| 249b | Secondary | List combined outcomes in a table, where one or both sets of outcomes are non-numeric. | drfrost.org/explorer.php?ssid=961 | https://www.youtube-nocookie.com/embed/ycZFfocWZhs | K74 |
| 249c | Secondary | List combined outcomes using a sample space, using an arithmetic operator. | drfrost.org/explorer.php?ssid=5338 | ||
| 249d | Secondary | Determine a probability from a given sample space. | drfrost.org/explorer.php?ssid=1466 | https://www.youtube-nocookie.com/embed/4YraYzuPf7A | K77 |
| 249e | Secondary | Determine the probability of a combined outcome where the sample space is not given. | drfrost.org/explorer.php?ssid=5339 | ||
| 250 | Secondary | Exam Practice: Probabilities of mutually exclusive events | drfrost.org/explorer.php?ssid=384 | https://www.youtube-nocookie.com/embed/HMH6a2iYzkY | E250 |
| 250a | Secondary | Determine the probability of an event not happening. | drfrost.org/explorer.php?ssid=5340 | ||
| 250b | Secondary | Determine the probability of one event or another mutually exclusive event occurring. | drfrost.org/explorer.php?ssid=5341 | ||
| 250c | Secondary | Determine a probability of a mutually exclusive event from given information. | drfrost.org/explorer.php?ssid=5342 | ||
| 250d | Secondary | Determine probabilities of mutually exclusive events with a given relationship. | drfrost.org/explorer.php?ssid=962 | https://www.youtube-nocookie.com/embed/HkIYqf502QU | K78 |
| 250e | Secondary | Find possible outcomes given numeric probabilities of mutually exclusive events. | drfrost.org/explorer.php?ssid=5343 | ||
| 250f | Secondary | Determine the frequency of an outcome given its theoretical probability and the total frequency. | drfrost.org/explorer.php?ssid=8885 | ||
| 250g | Secondary | Determine the total frequency given the frequency of an outcome and its theoretical probability. | drfrost.org/explorer.php?ssid=8886 | ||
| 250h | Secondary | Use the frequency of one outcome to find the frequency of another given their theoretical probabilities. | drfrost.org/explorer.php?ssid=8887 | ||
| 251 | Secondary | Exam Practice: Experimental probabilities and bias | drfrost.org/explorer.php?ssid=346 | https://www.youtube-nocookie.com/embed/F0QK_OromkQ | E251 |
| 251a | Secondary | Determine the relative frequency of an outcome from given data. | drfrost.org/explorer.php?ssid=1048 | https://www.youtube-nocookie.com/embed/k1BoFfN4uWI | K269 |
| 251b | Secondary | Determine the number of objects added or removed given a change in relative frequency. | drfrost.org/explorer.php?ssid=8786 | ||
| 251c | Secondary | Understand how the number of trials affects the reliability of an experiment | drfrost.org/explorer.php?ssid=5345 | ||
| 251d | Secondary | Use a theoretical probability to work out an expected value for a fair event. | drfrost.org/explorer.php?ssid=5346 | ||
| 251e | Secondary | Use a theoretical probability to work out an expected value for a biased event. | drfrost.org/explorer.php?ssid=1047 | https://www.youtube-nocookie.com/embed/HNWtOeT5-7g | K270 |
| 251f | Secondary | Use a relative frequency to estimate an expected value. | drfrost.org/explorer.php?ssid=8908 | ||
| 251g | Secondary | Determine if an experiment is biased. | drfrost.org/explorer.php?ssid=5347 | ||
| 251h | Secondary | Work out an expected value from a table with missing probabilities in the table. | drfrost.org/explorer.php?ssid=5348 | ||
| 251i | Secondary | Use expected values to calculate profit. | drfrost.org/explorer.php?ssid=5349 | ||
| 251j | Secondary | Solve a problem involving expected counts. | drfrost.org/explorer.php?ssid=8531 | ||
| 252 | Secondary | Exam Practice: Expanding a single bracket | drfrost.org/explorer.php?ssid=69 | https://www.youtube-nocookie.com/embed/VzS_qsrEtfM | E252 |
| 252a | Secondary | Expand a single bracket with a positive integer on the front. | drfrost.org/explorer.php?ssid=592 | https://www.youtube-nocookie.com/embed/czs5WUzlJPw | K153 |
| 252b | Secondary | Expand a single bracket with a negative integer on the front. | drfrost.org/explorer.php?ssid=8305 | https://www.youtube-nocookie.com/embed/tBQBsxChJ8A | |
| 252c | Secondary | Expand a single bracket with an algebraic term at the front. | drfrost.org/explorer.php?ssid=1359 | https://www.youtube-nocookie.com/embed/wIPF3OJ7Kpc | K157 |
| 252d | Secondary | Expand a single bracket with each term involving one variable or constant, using index laws. | drfrost.org/explorer.php?ssid=5350 | https://www.youtube-nocookie.com/embed/n7bpQi1R6oo | |
| 252e | Secondary | Expand a single bracket with each term involving multiple variables or constants, using index laws. | drfrost.org/explorer.php?ssid=1360 | https://www.youtube-nocookie.com/embed/jol46Rcp55Y | K435 |
| 252f | Secondary | Simplify an expression where a single bracket is added to other terms. | drfrost.org/explorer.php?ssid=1358 | https://www.youtube-nocookie.com/embed/zNMZKBfJ7Ak | K154 |
| 252g | Secondary | Expand and simplify the sum of two sets of single brackets in one variable with integer multipliers. | drfrost.org/explorer.php?ssid=707 | https://www.youtube-nocookie.com/embed/tnQPM54w7rA | K155 |
| 252h | Secondary | Expand and simplify the sum of two sets of single brackets in multiple variables with integer multipliers. | drfrost.org/explorer.php?ssid=8816 | https://www.youtube-nocookie.com/embed/tnQPM54w7rA | |
| 252i | Secondary | Simplify an expression where a single bracket is subtracted from other terms. | drfrost.org/explorer.php?ssid=8720 | https://www.youtube-nocookie.com/embed/_6hOUgC5zGg | |
| 252j | Secondary | Expand and simplify the difference of two sets of single brackets with integer multipliers. | drfrost.org/explorer.php?ssid=1240 | https://www.youtube-nocookie.com/embed/PyumeICHMnI | K156 |
| 252k | Secondary | Expand and simplify expressions with two sets of single brackets involving subtraction of a bracket with no coefficient. | drfrost.org/explorer.php?ssid=2111 | https://www.youtube-nocookie.com/embed/Px2aMdigjqk | |
| 252l | Secondary | Expand and simplify two sets of single brackets, where multipliers are variables or terms. | drfrost.org/explorer.php?ssid=2128 | https://www.youtube-nocookie.com/embed/tkLdCmczzGE | |
| 253 | Secondary | Exam Practice: Factorising out a single term | drfrost.org/explorer.php?ssid=71 | https://www.youtube-nocookie.com/embed/biXEdyg2bYA | E253 |
| 253a | Secondary | Factorise out a common numeric factor from an expression. | drfrost.org/explorer.php?ssid=777 | https://www.youtube-nocookie.com/embed/DB6TjBVxYHs | K348 |
| 253b | Secondary | Factorise out a common single variable from an expression. | drfrost.org/explorer.php?ssid=1238 | https://www.youtube-nocookie.com/embed/vViglKOwRnk | K349 |
| 253c | Secondary | Factorise out a common algebraic factor involving index laws. | drfrost.org/explorer.php?ssid=1040 | https://www.youtube-nocookie.com/embed/y4EOzJ4ZISU | K350 |
| 253d | Secondary | Factorise out a common algebraic factor involving index laws for an expression with three or more terms. | drfrost.org/explorer.php?ssid=5351 | ||
| 253e | Secondary | Expand an expression then factorise fully by taking out a single term. | drfrost.org/explorer.php?ssid=5352 | ||
| 254 | Secondary | Exam Practice: Solving linear equations where the variable appears on one side of the equation only, including brackets | drfrost.org/explorer.php?ssid=4261 | E254 | |
| 254a | Secondary | Solve a linear equation with brackets and positive integer only solutions. | drfrost.org/explorer.php?ssid=1375 | https://www.youtube-nocookie.com/embed/lFbMuRHonNs | K152 |
| 254b | Secondary | Solve a linear equation with brackets and positive fractional solutions. | drfrost.org/explorer.php?ssid=5355 | ||
| 254c | Secondary | Solve an equation with brackets where the solution may be written as a positive or negative terminating decimal or a fraction. | drfrost.org/explorer.php?ssid=2177 | ||
| 254d | Secondary | Solve an equation with brackets and requiring simplification, with the variable on one side. | drfrost.org/explorer.php?ssid=1455 | https://www.youtube-nocookie.com/embed/5W7se3kShXY | K372 |
| 254e | Secondary | Solve an equation with brackets and a possible negative coefficient of the unknown. | drfrost.org/explorer.php?ssid=5356 | ||
| 255 | Secondary | Exam Practice: Custom operators | drfrost.org/explorer.php?ssid=4262 | E255 | |
| 255a | Secondary | Calculate the output of a binary operator given its definition. | drfrost.org/explorer.php?ssid=5357 | ||
| 255b | Secondary | Calculate the output of two instances of a custom binary operator composed together. | drfrost.org/explorer.php?ssid=5358 | ||
| 255c | Secondary | Determine one of the inputs of a custom binary operator given the output. | drfrost.org/explorer.php?ssid=5359 | ||
| 256 | Secondary | Exam Practice: Finding integer solutions to linear equations (linear Diophantine equations) | drfrost.org/explorer.php?ssid=33 | E256 | |
| 256a | Secondary | Determine positive integer solutions to ax + by = k | drfrost.org/explorer.php?ssid=5360 | ||
| 256b | Secondary | Determine positive integer solutions to a problem in context that can be modelled as an equation of the form ax + by = k | drfrost.org/explorer.php?ssid=5361 | ||
| 257 | Secondary | Exam Practice: Solving linear equations where the variable appears on both sides of the equation | drfrost.org/explorer.php?ssid=429 | https://www.youtube-nocookie.com/embed/l-za234E9F4 | E257 |
| 257a | Secondary | Solve a linear equation with unknown on both sides. | drfrost.org/explorer.php?ssid=841 | https://www.youtube-nocookie.com/embed/JTy8JL70n6k | K367 |
| 257b | Secondary | Solve a linear equation with unknowns on both sides where the leading term is a constant. | drfrost.org/explorer.php?ssid=2196 | ||
| 257c | Secondary | Solve a linear equation with unknowns on both sides and brackets on one side. | drfrost.org/explorer.php?ssid=1239 | https://www.youtube-nocookie.com/embed/10Tv78eF9Z8 | K368 |
| 257d | Secondary | Solve a linear equation with unknowns and brackets on both sides. | drfrost.org/explorer.php?ssid=2270 | ||
| 257e | Secondary | Solve a linear equation with unknowns on both sides and brackets requiring simplification. | drfrost.org/explorer.php?ssid=843 | https://www.youtube-nocookie.com/embed/pMdqwf4N_bw | K369 |
| 257f | Secondary | Solve a linear equation with two sets of brackets on one side requiring simplification. | drfrost.org/explorer.php?ssid=2232 | ||
| 258 | Secondary | Exam Practice: Solving linear equations involving fractions | drfrost.org/explorer.php?ssid=360 | https://www.youtube-nocookie.com/embed/IHgy9iAk-wU | E258 |
| 258a | Secondary | Solve equations of the form \frac{ax}{b}=c | drfrost.org/explorer.php?ssid=8676 | ||
| 258b | Secondary | Solve equations of the form \frac{x+a}{b}=c | drfrost.org/explorer.php?ssid=8677 | ||
| 258c | Secondary | Solve equations of the form \frac{ax}{b}+c=d or \frac{ax+b}{c}=d | drfrost.org/explorer.php?ssid=1496 | https://www.youtube-nocookie.com/embed/Q4uBjCH7hJs | K707 |
| 258d | Secondary | Solve equations of the form \frac{ax+b}{c}=\frac{d}{e} | drfrost.org/explorer.php?ssid=1074 | https://www.youtube-nocookie.com/embed/nyIxaZmbIoE | K373 |
| 258e | Secondary | Solve equations of the form \frac{a}{bx}=c | drfrost.org/explorer.php?ssid=5362 | ||
| 258f | Secondary | Solve equations of the form \frac{a}{bx}+c=d | drfrost.org/explorer.php?ssid=5364 | ||
| 258g | Secondary | Solve equations of the form \frac{a}{bx+c}=d | drfrost.org/explorer.php?ssid=1606 | https://www.youtube-nocookie.com/embed/rAug794m24U | |
| 258h | Secondary | Solve equations of the form \frac{ax}{b}=cx+d | drfrost.org/explorer.php?ssid=5363 | ||
| 258i | Secondary | Solve equations of the form \frac{ax}{b}+c=dx+e or \frac{ax+b}{c}=dx+e | drfrost.org/explorer.php?ssid=8608 | ||
| 258j | Secondary | Solve equations of the form \frac{ax+b}{c}=dx+e | drfrost.org/explorer.php?ssid=1075 | https://www.youtube-nocookie.com/embed/RAfC856gEH4 | K371 |
| 258k | Secondary | Solve equations of the form \frac{ax+b}{c}=\frac{dx+e}{f} | drfrost.org/explorer.php?ssid=8605 | ||
| 258l | Secondary | Solve equations of the form \frac{ax+b}{cx}=d | drfrost.org/explorer.php?ssid=8606 | ||
| 258m | Secondary | Solve equations of the form \frac{ax+b}{cx+d}=e | drfrost.org/explorer.php?ssid=8607 | ||
| 258n | Secondary | Solve equations of the form \frac{ax+b}{c}+\frac{dx+e}{f}=gx+h | drfrost.org/explorer.php?ssid=1506 | K710 | |
| 258o | Secondary | Solve equations of the form \frac{ax+b}{c}=\frac{dx+e}{f}+gx+h | drfrost.org/explorer.php?ssid=8609 | ||
| 259 | Secondary | Exam Practice: Forming and solving linear equations from a given context (excluding angles) | drfrost.org/explorer.php?ssid=498 | E259 | |
| 259a | Secondary | Form and solve a linear equation for a given context involving a single occurrence of the variable. | drfrost.org/explorer.php?ssid=1761 | https://www.youtube-nocookie.com/embed/825zWGD2sr8 | |
| 259b | Secondary | Form and solve a linear equation using a given a formula and the value of multiple variables. | drfrost.org/explorer.php?ssid=8425 | ||
| 259c | Secondary | Form and solve a linear equation for the perimeter of a 2D shape. | drfrost.org/explorer.php?ssid=1311 | https://www.youtube-nocookie.com/embed/BJdu8LrgIgU | K332 |
| 259d | Secondary | Form and solve a linear equation for the area of a simple 2D shape. | drfrost.org/explorer.php?ssid=1696 | ||
| 259e | Secondary | Form and solve a linear equation for the area of a trapezium. | drfrost.org/explorer.php?ssid=1778 | ||
| 259f | Secondary | Form and solve a linear equation for the area of two 2D shapes. | drfrost.org/explorer.php?ssid=1717 | https://www.youtube-nocookie.com/embed/hE8DTVfchuA | |
| 259g | Secondary | Form and solve a linear equation for the volume of a cuboid or cube. | drfrost.org/explorer.php?ssid=5365 | ||
| 259h | Secondary | Form and solve a linear equation for the volume of a prism. | drfrost.org/explorer.php?ssid=5366 | ||
| 259i | Secondary | Form and solve a linear equation for the surface area of a cuboid or cube. | drfrost.org/explorer.php?ssid=5367 | ||
| 259j | Secondary | Form and solve a linear equation for the surface area of a prism. | drfrost.org/explorer.php?ssid=5368 | ||
| 259k | Secondary | Form and solve a linear equation for the total cost of a purchase. | drfrost.org/explorer.php?ssid=5369 | ||
| 259l | Secondary | Form and solve a linear equation involving a relationship between two or more items. | drfrost.org/explorer.php?ssid=5370 | ||
| 259m | Secondary | Form and solve a linear equation involving a relationship between two or more items, including fractions. | drfrost.org/explorer.php?ssid=5371 | ||
| 259n | Secondary | Form and solve a linear equation involving percentage and/or fractions of amounts. | drfrost.org/explorer.php?ssid=5372 | ||
| 259o | Secondary | Form and solve a linear equation relating to the relationship between two or more items requiring use of the mean average. | drfrost.org/explorer.php?ssid=5373 | ||
| 259p | Secondary | Form and solve a linear equation with an unknown on one side for given a function machine. | drfrost.org/explorer.php?ssid=5374 | ||
| 259q | Secondary | Form and solve a linear equation for a function machine where the input and output are equal. | drfrost.org/explorer.php?ssid=5375 | ||
| 259r | Secondary | Form and solve a linear equation for a function machine where the input and output are related. | drfrost.org/explorer.php?ssid=5376 | ||
| 259s | Secondary | Form and solve a linear equation for a given relationship between two sequences. | drfrost.org/explorer.php?ssid=5377 | ||
| 260 | Secondary | Exam Practice: Changing the subject of a formula where the subject appears once only, including brackets | drfrost.org/explorer.php?ssid=4263 | E260 | |
| 260a | Secondary | Change the subject of a linear formula involving multiplication using brackets. | drfrost.org/explorer.php?ssid=975 | https://www.youtube-nocookie.com/embed/iHPjLpYEBMI | K361 |
| 260b | Secondary | Change the subject of a linear formula requiring two steps resulting in a bracket. | drfrost.org/explorer.php?ssid=978 | https://www.youtube-nocookie.com/embed/9_ZVbMIsOSQ | K362 |
| 260c | Secondary | Change the subject of a formula with brackets and fractions. | drfrost.org/explorer.php?ssid=2354 | ||
| 260d | Secondary | Change the subject of a formula where the subject is squared and with additional steps. | drfrost.org/explorer.php?ssid=8311 | ||
| 260e | Secondary | Change the subject of a formula where the subject is cubed (or a higher power) and with additional steps. | drfrost.org/explorer.php?ssid=8312 | ||
| 260f | Secondary | Change the subject of a formula with brackets and where the subject is raised to a power. | drfrost.org/explorer.php?ssid=2356 | ||
| 260g | Secondary | Change the subject of a formula with brackets raised to a power. | drfrost.org/explorer.php?ssid=2357 | ||
| 260h | Secondary | Change the subject of a formula with fractions and powers. | drfrost.org/explorer.php?ssid=2358 | ||
| 260i | Secondary | Change the subject of a formula with roots and additional steps. | drfrost.org/explorer.php?ssid=2360 | ||
| 260j | Secondary | Change the subject of a formula where the subject appears on the denominator of a fraction, resulting in a bracket. | drfrost.org/explorer.php?ssid=1754 | ||
| 260k | Secondary | Change the subject of a formula where the coefficient of the subject is negative and the subject appears on the denominator of a fraction. | drfrost.org/explorer.php?ssid=2361 | ||
| 261 | Secondary | Exam Practice: Interior and exterior angles of regular and irregular polygons | drfrost.org/explorer.php?ssid=332 | https://www.youtube-nocookie.com/embed/wZo6cLD_Q2I | E261 |
| 261a | Secondary | Calculate the interior angle sum of a polygon given its number of sides. | drfrost.org/explorer.php?ssid=1609 | https://www.youtube-nocookie.com/embed/xquRv-hprpI | |
| 261b | Secondary | Determine missing angles in a non-regular polygon. | drfrost.org/explorer.php?ssid=659 | https://www.youtube-nocookie.com/embed/URkWXLBCwik | K479 |
| 261c | Secondary | Determine interior angles of a polygon where there is a relationship given between some angles. | drfrost.org/explorer.php?ssid=1945 | https://www.youtube-nocookie.com/embed/HBagbIgm1aw | |
| 261d | Secondary | Calculate the size of the exterior angles of a regular polygon. | drfrost.org/explorer.php?ssid=660 | https://www.youtube-nocookie.com/embed/DpRMRA7Dwxk | K477 |
| 261e | Secondary | Calculate the size of the interior angles of a regular polygon. | drfrost.org/explorer.php?ssid=661 | https://www.youtube-nocookie.com/embed/IrljumKsjcU | K480 |
| 261f | Secondary | Determine the remaining angle around a point where two or more polygons meet. | drfrost.org/explorer.php?ssid=1946 | https://www.youtube-nocookie.com/embed/Y2eR9fWlEBc | |
| 261g | Secondary | Determine an angle formed in a shape using sides or extended sides of polygons. | drfrost.org/explorer.php?ssid=1947 | https://www.youtube-nocookie.com/embed/psj9SXYRZ9I | |
| 261h | Secondary | Determine the number of sides of a regular polygon given the size of its exterior angles. | drfrost.org/explorer.php?ssid=662 | https://www.youtube-nocookie.com/embed/o3Ly6cTL9fY | K478 |
| 261i | Secondary | Determine the number of sides of a regular polygon given the size of its interior angles. | drfrost.org/explorer.php?ssid=663 | https://www.youtube-nocookie.com/embed/ZbTudLycBnE | K481 |
| 261j | Secondary | Determine the number of sides of a polygon given a ratio between its interior and exterior angles. | drfrost.org/explorer.php?ssid=1948 | https://www.youtube-nocookie.com/embed/DxTy09eClO8 | |
| 261k | Secondary | Determine angles in polygons within regular polygons. | drfrost.org/explorer.php?ssid=1520 | https://www.youtube-nocookie.com/embed/fsC_AcqWgjM | K719 |
| 261l | Secondary | Determine if a regular polygon will tessellate. | drfrost.org/explorer.php?ssid=5378 | https://www.youtube-nocookie.com/embed/2ihV65-lBn8 | |
| 261m | Secondary | Determine the number of sides of an unknown regular polygon required to complete a tessellation. | drfrost.org/explorer.php?ssid=1949 | https://www.youtube-nocookie.com/embed/5PPerb1lwXc | |
| 261n | Secondary | Write a geometric proof using angle facts, including those for polygons. | drfrost.org/explorer.php?ssid=8401 | https://www.youtube-nocookie.com/embed/d-CUVFtDZBQ | |
| 262 | Secondary | Exam Practice: Alternate, corresponding and cointerior angles | drfrost.org/explorer.php?ssid=120 | https://www.youtube-nocookie.com/embed/vO7qId0X5ds | E262 |
| 262a | Secondary | Recognise alternate, corresponding and co-interior (allied) angles. | drfrost.org/explorer.php?ssid=1248 | https://www.youtube-nocookie.com/embed/pzDA-MUgMyQ | K304 |
| 262b | Secondary | Determine an angle using alternate angles on parallel lines. | drfrost.org/explorer.php?ssid=630 | https://www.youtube-nocookie.com/embed/tHk10Url7Kc | K305 |
| 262c | Secondary | Determine an angle using corresponding angles on parallel lines. | drfrost.org/explorer.php?ssid=636 | https://www.youtube-nocookie.com/embed/1vI69DMvioc | K306 |
| 262d | Secondary | Determine an angle using co-interior (allied) angles on parallel lines. | drfrost.org/explorer.php?ssid=638 | https://www.youtube-nocookie.com/embed/l2OfWvr97KI | K308 |
| 262e | Secondary | Determine if a given pair of lines is parallel using alternate, corresponding or co-interior angle rules. | drfrost.org/explorer.php?ssid=5379 | https://www.youtube-nocookie.com/embed/J4hAHGWqNDU | |
| 262f | Secondary | Determine angles in a parallelogram or rhombus. | drfrost.org/explorer.php?ssid=5380 | https://www.youtube-nocookie.com/embed/zzhdTsSmXI0 | |
| 262g | Secondary | Determine angles in a trapezium. | drfrost.org/explorer.php?ssid=5381 | https://www.youtube-nocookie.com/embed/d5qHNIKNT6w | |
| 262h | Secondary | Determine an angle using alternate or corresponding angles combined with vertically opposite angles. | drfrost.org/explorer.php?ssid=5382 | https://www.youtube-nocookie.com/embed/Qy49Xr8t9lk | |
| 262i | Secondary | Determine an angle in a triangle using angles on parallel lines. | drfrost.org/explorer.php?ssid=1184 | https://www.youtube-nocookie.com/embed/YhiX9UM_ZIk | K302 |
| 262j | Secondary | Determine an angle in a complex diagram involving multiple angle laws and parallel lines. | drfrost.org/explorer.php?ssid=5383 | https://www.youtube-nocookie.com/embed/4g7IPvJXH8I | |
| 262k | Secondary | Determine an angle in a complex diagram involving a parallelogram or rhombus. | drfrost.org/explorer.php?ssid=5384 | ||
| 262l | Secondary | Write a geometric proof using angle facts, including those for polygons and on parallel lines. | drfrost.org/explorer.php?ssid=8402 | ||
| 263 | Secondary | Exam Practice: Algebraic expressions and equations using angle facts | drfrost.org/explorer.php?ssid=122 | https://www.youtube-nocookie.com/embed/zo3KOe8fwGQ | E263 |
| 263a | Secondary | Determine an algebraic expression for an angle involving angles on a line or angles about a point, where angles are given as algebraic terms only. | drfrost.org/explorer.php?ssid=1912 | ||
| 263b | Secondary | Determine an algebraic expression for an angle involving angles on a line or angles about a point, where angles are given as general expressions. | drfrost.org/explorer.php?ssid=5385 | ||
| 263c | Secondary | Determine an algebraic expression for an angle in a triangle, quadrilateral or extended line, where angles are given as general expressions. | drfrost.org/explorer.php?ssid=5386 | ||
| 263d | Secondary | Determine algebraic expressions for angle involving parallel lines, where angles are given as general expressions. | drfrost.org/explorer.php?ssid=5387 | ||
| 263e | Secondary | Form and solve an equation using algebraic angles to determine an unknown angle on a line or angles around a point. | drfrost.org/explorer.php?ssid=1909 | ||
| 263f | Secondary | Form and solve an equation using algebraic angles to determine an unknown angle from angles in a triangle or quadrilateral. | drfrost.org/explorer.php?ssid=1913 | ||
| 263g | Secondary | Form and solve an equation using algebraic angles to determine an unknown angle in a parallelogram, rhombus or trapezium. | drfrost.org/explorer.php?ssid=5388 | ||
| 263h | Secondary | Form and solve an equation using algebraic angles to determine an unknown angle involving parallel lines. | drfrost.org/explorer.php?ssid=5389 | ||
| 263i | Secondary | Form and solve an equation using algebraic angles to determine an unknown angles in a polygon. | drfrost.org/explorer.php?ssid=8333 | ||
| 264 | Secondary | Exam Practice: Bearings (excluding trigonometry) | drfrost.org/explorer.php?ssid=369 | E264 | |
| 264a | Secondary | Know the correspondence between bearings and compass directions. | drfrost.org/explorer.php?ssid=1981 | https://www.youtube-nocookie.com/embed/ggFioN1O2VY | |
| 264b | Secondary | Calculate a bearing using a simple diagram. | drfrost.org/explorer.php?ssid=987 | https://www.youtube-nocookie.com/embed/zwBZi48N6FE | K324 |
| 264c | Secondary | Measure a bearing using a protractor. | drfrost.org/explorer.php?ssid=1982 | https://www.youtube-nocookie.com/embed/xq_FLzbo4eM | |
| 264d | Secondary | Calculate a bearing using angles on parallel lines. | drfrost.org/explorer.php?ssid=988 | https://www.youtube-nocookie.com/embed/pc168-OHZeI | K325 |
| 264e | Secondary | Use the bearing of one object from another to calculate the bearing of the opposite. | drfrost.org/explorer.php?ssid=2115 | https://www.youtube-nocookie.com/embed/jiDfMcJnhLU | |
| 264f | Secondary | Calculate bearings using a mixture of parallel lines and isosceles triangles. | drfrost.org/explorer.php?ssid=2108 | https://www.youtube-nocookie.com/embed/GVyI_yA_l5I | |
| 265 | Secondary | Exam Practice: Midpoint of two points | drfrost.org/explorer.php?ssid=136 | https://www.youtube-nocookie.com/embed/1zASK082ZHQ | E265 |
| 265a | Secondary | Find the midpoint of two points which have been plotted. | drfrost.org/explorer.php?ssid=1983 | ||
| 265b | Secondary | Find the midpoint of two points given as coordinates. | drfrost.org/explorer.php?ssid=880 | https://www.youtube-nocookie.com/embed/xseTCpiVjGc | K320 |
| 265c | Secondary | Find a coordinate given another and their midpoint. | drfrost.org/explorer.php?ssid=881 | https://www.youtube-nocookie.com/embed/bbws5_NWLQM | K322 |
| 265d | Secondary | Solve problems involving the midpoint of two points where some values are unknown. | drfrost.org/explorer.php?ssid=1988 | ||
| 266 | Secondary | Exam Practice: Splitting a line segment in a ratio | drfrost.org/explorer.php?ssid=4264 | E266 | |
| 266a | Secondary | Find the coordinates of the middle of three points in a line given the ratio of the distances between them. | drfrost.org/explorer.php?ssid=882 | https://www.youtube-nocookie.com/embed/esB_uK-WJHU | K321 |
| 266b | Secondary | Find the coordinates of the last of three points in a line given the ratio of the distances between them. | drfrost.org/explorer.php?ssid=5390 | ||
| 266c | Secondary | Find the coordinates of one of three points on a line given a multiplicative relationship for the distances between them. | drfrost.org/explorer.php?ssid=5391 | ||
| 266d | Secondary | Find the coordinates of one of three points in a line given a ratio of the distances between two points and the whole line segment. | drfrost.org/explorer.php?ssid=5392 | ||
| 266e | Secondary | Solve problems involving two points divided into a ratio where some values are unknown. | drfrost.org/explorer.php?ssid=5393 | ||
| 267 | Secondary | Exam Practice: Plotting a straight line from a table of values | drfrost.org/explorer.php?ssid=4265 | E267 | |
| 267a | Secondary | Complete a table of values for a linear graph with a positive integer coefficient of x | drfrost.org/explorer.php?ssid=1235 | https://www.youtube-nocookie.com/embed/Y8PbsC05PqA | K388 |
| 267b | Secondary | Complete a table of values for a linear graph with a negative integer coefficient of x | drfrost.org/explorer.php?ssid=5394 | ||
| 267c | Secondary | Complete a table of values for a linear graph with a fractional coefficient of x | drfrost.org/explorer.php?ssid=5395 | ||
| 267d | Secondary | Plot a linear graph using a completed table of values. | drfrost.org/explorer.php?ssid=5396 | ||
| 267e | Secondary | Complete a table of values and plot the corresponding linear graph. | drfrost.org/explorer.php?ssid=5397 | ||
| 267f | Secondary | Plot a linear graph using only two points. | drfrost.org/explorer.php?ssid=5398 | ||
| 268 | Secondary | Exam Practice: Relationship between a line and its equation | drfrost.org/explorer.php?ssid=89 | https://www.youtube-nocookie.com/embed/D-lhiZFNrow | E268 |
| 268a | Secondary | Determine whether a point lies on a line given its equation in the form y = mx + c | drfrost.org/explorer.php?ssid=1406 | https://www.youtube-nocookie.com/embed/PUZK13UlTHk | K394 |
| 268b | Secondary | Determine whether a point lies on a line given its equation in the form ax + by = c | drfrost.org/explorer.php?ssid=2191 | ||
| 268c | Secondary | Determine the missing x or y coordinate given the equation of a straight line. | drfrost.org/explorer.php?ssid=2192 | ||
| 268d | Secondary | Use a linear graph to determine a y-value for a given x-value. | drfrost.org/explorer.php?ssid=8562 | ||
| 268e | Secondary | Draw a line with equation x=a, y=b, y=x or y=-x | drfrost.org/explorer.php?ssid=1241 | https://www.youtube-nocookie.com/embed/zow4xzc8oGE | K389 |
| 269 | Secondary | Exam Practice: x and y intercepts of a line | drfrost.org/explorer.php?ssid=4266 | E269 | |
| 269a | Secondary | Determine the x or y intercept of a straight line which is drawn. | drfrost.org/explorer.php?ssid=837 | https://www.youtube-nocookie.com/embed/RZCiW_iX9nw | K399 |
| 269b | Secondary | Determine the x or y intercept of a straight line given an equation by substitution of 0. | drfrost.org/explorer.php?ssid=1397 | https://www.youtube-nocookie.com/embed/zMApPWEBjuE | K395 |
| 269c | Secondary | Determine the midpoint of the line segment between the x and y intercepts of a straight line. | drfrost.org/explorer.php?ssid=5399 | ||
| 269d | Secondary | Find the area enclosed by a straight line and its intercepts with the axes. | drfrost.org/explorer.php?ssid=5400 | ||
| 269e | Secondary | Find the coordinate of a point between the x and y intercepts in a particular ratio. | drfrost.org/explorer.php?ssid=1690 | https://www.youtube-nocookie.com/embed/-LNSHoWhFl8 | |
| 270 | Secondary | Exam Practice: Gradient of a line | drfrost.org/explorer.php?ssid=90 | https://www.youtube-nocookie.com/embed/fnKIlkGBfeE | E270 |
| 270a | Secondary | Determine a positive integer gradient of a line by counting unit squares. | drfrost.org/explorer.php?ssid=5401 | ||
| 270b | Secondary | Determine a negative integer gradient of a line by counting unit squares. | drfrost.org/explorer.php?ssid=8872 | ||
| 270c | Secondary | Determine a fractional gradient of a line by counting unit squares. | drfrost.org/explorer.php?ssid=8386 | ||
| 270d | Secondary | Determine the gradient of a slope triangle. | drfrost.org/explorer.php?ssid=5402 | ||
| 270e | Secondary | Determine the gradient of a straight line which is drawn with a supporting triangle. | drfrost.org/explorer.php?ssid=5403 | ||
| 270f | Secondary | Determine the gradient of a straight line which is drawn on axes with scale in ones. | drfrost.org/explorer.php?ssid=5404 | ||
| 270g | Secondary | Determine the gradient of a straight line which is drawn on axes with unusual scale. | drfrost.org/explorer.php?ssid=836 | https://www.youtube-nocookie.com/embed/OxYk4R1cey4 | K396 |
| 270h | Secondary | Determine the gradient of a line given a sketch of two points on the axes (not to scale). | drfrost.org/explorer.php?ssid=5405 | ||
| 270i | Secondary | Determine the gradient of a line given two pairs of coordinates, where all coordinates are positive. | drfrost.org/explorer.php?ssid=692 | https://www.youtube-nocookie.com/embed/mHzvAzd6HGQ | K397 |
| 270j | Secondary | Determine the gradient of a line given two pairs of coordinates, where 1 or 2 coordinates are negative. | drfrost.org/explorer.php?ssid=8873 | ||
| 270k | Secondary | Determine the gradient of a line given two pairs of coordinates, where 3 or 4 coordinates are negative. | drfrost.org/explorer.php?ssid=8874 | ||
| 270l | Secondary | Determine the unknown x or y coordinate given two points and the value of the gradient. | drfrost.org/explorer.php?ssid=5406 | ||
| 270m | Secondary | Determine an algebraic expression for the gradient of a line given two points. | drfrost.org/explorer.php?ssid=5408 | ||
| 270n | Secondary | Determine whether three points are collinear. | drfrost.org/explorer.php?ssid=5409 | ||
| 270o | Secondary | Determine the unknown x or y coordinate given three points which lie on a straight line. | drfrost.org/explorer.php?ssid=5407 | ||
| 271 | Secondary | Exam Practice: Understanding the equation of a straight line, y=mx+c | drfrost.org/explorer.php?ssid=91 | https://www.youtube-nocookie.com/embed/-oB1lIM0nHs | E271 |
| 271a | Secondary | Write the equation of a line in the form y=mx+c given a gradient and y-intercept. | drfrost.org/explorer.php?ssid=5410 | ||
| 271b | Secondary | Determine the gradient or y-intercept of a line given its equation in the form y = mx + c | drfrost.org/explorer.php?ssid=1253 | https://www.youtube-nocookie.com/embed/CjU-C5177Us | K398 |
| 271c | Secondary | Write the equation of a line in the form ax+by=c given a gradient and y-intercept. | drfrost.org/explorer.php?ssid=5411 | ||
| 271d | Secondary | Determine the gradient or y-intercept of a line given its equation in the form ax + by = c or ax + by + c = 0 | drfrost.org/explorer.php?ssid=1254 | https://www.youtube-nocookie.com/embed/dvx9QJZyq9g | K404 |
| 271e | Secondary | Determine the steepest line from a set of equations. | drfrost.org/explorer.php?ssid=5412 | ||
| 272 | Secondary | Exam Practice: Determining the equation of a straight line | drfrost.org/explorer.php?ssid=92 | https://www.youtube-nocookie.com/embed/v-9C9Og0SrU | E272 |
| 272a | Secondary | Determine the equation of a straight line given in the form x=a, y=b, y=x or y=-x | drfrost.org/explorer.php?ssid=1102 | https://www.youtube-nocookie.com/embed/2e1C1uH6zkg | K400 |
| 272b | Secondary | Determine the equation of a straight line in y=mx+c form which is drawn, where m is a positive integer. | drfrost.org/explorer.php?ssid=838 | https://www.youtube-nocookie.com/embed/gWATRVIyL-Y | K401 |
| 272c | Secondary | Determine the equation of a straight line in y=mx+c form which is drawn, where m is a negative integer. | drfrost.org/explorer.php?ssid=8846 | ||
| 272d | Secondary | Determine the equation of a straight line in y=mx+c form which is drawn, where m is fractional. | drfrost.org/explorer.php?ssid=8847 | ||
| 272e | Secondary | Determine the equation of a straight line in ax+by=c form which is drawn. | drfrost.org/explorer.php?ssid=5413 | ||
| 272f | Secondary | Determine the equation of a straight line in y=mx+c form given its gradient and a point, where the gradient is an integer. | drfrost.org/explorer.php?ssid=1695 | https://www.youtube-nocookie.com/embed/vAXa-tvU0CU | |
| 272g | Secondary | Determine the equation of a straight line in y=mx+c form given a non-integer gradient and a point. | drfrost.org/explorer.php?ssid=689 | https://www.youtube-nocookie.com/embed/vAXa-tvU0CU | K402 |
| 272h | Secondary | Determine the equation of a straight line in ax+by=c form given a gradient and a point. | drfrost.org/explorer.php?ssid=5414 | ||
| 272i | Secondary | Determine the equation of a straight line in the form y=mx+c given two points. | drfrost.org/explorer.php?ssid=735 | https://www.youtube-nocookie.com/embed/MTrQvt8Dag0 | K403 |
| 272j | Secondary | Determine the equation of a straight line in the form ax + by = c given two points. | drfrost.org/explorer.php?ssid=5415 | ||
| 272k | Secondary | Determine the equation of the median of a triangle given its coordinates. | drfrost.org/explorer.php?ssid=5416 | ||
| 273 | Secondary | Exam Practice: Drawing a line from its equation | drfrost.org/explorer.php?ssid=88 | https://www.youtube-nocookie.com/embed/-15NrddYXos | E273 |
| 273a | Secondary | Draw a line from its equation given in the form y=mx+c when the gradient is positive. | drfrost.org/explorer.php?ssid=798 | https://www.youtube-nocookie.com/embed/xAIJ3Zki24o | K390 |
| 273b | Secondary | Draw a line from its equation given in the form y=mx+c when the gradient is negative. | drfrost.org/explorer.php?ssid=799 | https://www.youtube-nocookie.com/embed/IP1xJr9bjnU | K391 |
| 273c | Secondary | Draw a line from its equation given in the form y=mx+c when the gradient is a fraction. | drfrost.org/explorer.php?ssid=800 | https://www.youtube-nocookie.com/embed/5P7vPnNMFto | K392 |
| 273d | Secondary | Draw a line with an equation given in the form x+y=a | drfrost.org/explorer.php?ssid=5417 | ||
| 273e | Secondary | Draw a line with an equation given in the form ax+by=c | drfrost.org/explorer.php?ssid=1303 | https://www.youtube-nocookie.com/embed/wCjr7KVxU1A | K393 |
| 274 | Secondary | Exam Practice: Equations of parallel lines | drfrost.org/explorer.php?ssid=93 | https://www.youtube-nocookie.com/embed/JO_xha-5EwU | E274 |
| 274a | Secondary | Determine if two straight lines are parallel from their equations in the form y=mx+c | drfrost.org/explorer.php?ssid=5418 | ||
| 274b | Secondary | Determine if two straight lines are parallel from their equations, requiring rearrangement with addition and subtraction only. | drfrost.org/explorer.php?ssid=8888 | ||
| 274c | Secondary | Determine if two straight lines are parallel from their equations, requiring rearrangement with multiplication and division. | drfrost.org/explorer.php?ssid=8889 | ||
| 274d | Secondary | Find an equation of a line parallel to another in the form y=mx+c | drfrost.org/explorer.php?ssid=736 | https://www.youtube-nocookie.com/embed/ugNY9ag08Gg | K405 |
| 274e | Secondary | Find an equation of a line parallel to another given in the form ax+by=c | drfrost.org/explorer.php?ssid=5419 | ||
| 274f | Secondary | Find an equation of a line in the form y=mx+c which is parallel to the line segment connecting two points. | drfrost.org/explorer.php?ssid=5420 | ||
| 274g | Secondary | Find an equation of a line in the form ax+by=c which is parallel to the line segment connecting two points. | drfrost.org/explorer.php?ssid=5421 | ||
| 275 | Secondary | Exam Practice: Solving linear simultaneous equations/systems of equations using graphical methods | drfrost.org/explorer.php?ssid=84 | E275 | |
| 275a | Secondary | Solve linear simultaneous equations/systems of equations using an existing plot of each line. | drfrost.org/explorer.php?ssid=1760 | ||
| 275b | Secondary | Solve linear simultaneous equations/systems of equations by first plotting each line. | drfrost.org/explorer.php?ssid=5422 | ||
| 276 | Secondary | Exam Practice: Solving linear simultaneous equations/systems of equations using elimination or substitution | drfrost.org/explorer.php?ssid=82 | https://www.youtube-nocookie.com/embed/XWNropJ5pn0 | E276 |
| 276a | Secondary | Solve linear simultaneous equations/systems of equations where one unknown has equal positive coefficients. | drfrost.org/explorer.php?ssid=1018 | https://www.youtube-nocookie.com/embed/BueMJH0h3e8 | K376 |
| 276b | Secondary | Solve linear simultaneous equations/systems of equations where one unknown has equal negative coefficients. | drfrost.org/explorer.php?ssid=8441 | ||
| 276c | Secondary | Solve linear simultaneous equations/systems of equations where one unknown has equal coefficients with different signs. | drfrost.org/explorer.php?ssid=1022 | https://www.youtube-nocookie.com/embed/3OUQpUl1pg0 | K377 |
| 276d | Secondary | Solve linear simultaneous equations/systems of equations where one equation needs to be scaled. | drfrost.org/explorer.php?ssid=1751 | ||
| 276e | Secondary | Solve linear simultaneous equations/systems of equations where both equations need to be scaled. | drfrost.org/explorer.php?ssid=1023 | https://www.youtube-nocookie.com/embed/8ZEdxhitNqQ | K378 |
| 276f | Secondary | Solve linear simultaneous equations/systems of equations requiring rearrangement by elimination. | drfrost.org/explorer.php?ssid=1174 | K774 | |
| 276g | Secondary | Solve linear simultaneous equations/systems of equations by substitution. | drfrost.org/explorer.php?ssid=1555 | K742 | |
| 276h | Secondary | Solve non-linear simultaneous equations/systems of equations where y is the subject of both equations, to give a linear equation to be solved. | drfrost.org/explorer.php?ssid=5423 | ||
| 276i | Secondary | Form and solve linear simultaneous equations/systems of equations for a given non-geometric context. | drfrost.org/explorer.php?ssid=1026 | https://www.youtube-nocookie.com/embed/CeA_Uqp9hwg | K380 |
| 276j | Secondary | Form and solve linear simultaneous equations/systems of equations for a given geometric context. | drfrost.org/explorer.php?ssid=8521 | ||
| 276k | Secondary | Solve linear simultaneous equations/systems of equations to determine the point of intersection of two lines. | drfrost.org/explorer.php?ssid=1025 | K375 | |
| 277 | Secondary | Exam Practice: Converting from a recurring decimal to a fraction | drfrost.org/explorer.php?ssid=36 | https://www.youtube-nocookie.com/embed/Je9sKSmPThE | E277 |
| 277a | Secondary | Round a recurring decimal to given number of decimal places. | drfrost.org/explorer.php?ssid=8411 | ||
| 277b | Secondary | Convert from a recurring decimal to a fraction with a single digit recurring. | drfrost.org/explorer.php?ssid=821 | https://www.youtube-nocookie.com/embed/LjQ5VmPx97U | K469 |
| 277c | Secondary | Convert from a recurring decimal to a fraction with two or more digits recurring. | drfrost.org/explorer.php?ssid=830 | https://www.youtube-nocookie.com/embed/wJfCuhrmIGA | K470 |
| 277d | Secondary | Convert from a recurring decimal to a fraction where some digits do not recur. | drfrost.org/explorer.php?ssid=831 | https://www.youtube-nocookie.com/embed/_UufLnymjx8 | K471 |
| 277e | Secondary | Add or subtract two recurring decimals. | drfrost.org/explorer.php?ssid=8412 | ||
| 277f | Secondary | Multiply or divide two recurring decimals. | drfrost.org/explorer.php?ssid=5424 | ||
| 277g | Secondary | Convert a recurring decimal with a variable as a digit to a fraction. | drfrost.org/explorer.php?ssid=5425 | ||
| 278 | Secondary | Exam Practice: Reflecting a shape in a line with given equation | drfrost.org/explorer.php?ssid=6 | https://www.youtube-nocookie.com/embed/NSPvXW6M3Ps | E278 |
| 278a | Secondary | Reflect a shape against a vertical or horizontal line with a given equation. | drfrost.org/explorer.php?ssid=850 | https://www.youtube-nocookie.com/embed/yijLg88zRAg | K489 |
| 278b | Secondary | Reflect a shape against a diagonal line with a given equation. | drfrost.org/explorer.php?ssid=1475 | K490 | |
| 279 | Secondary | Exam Practice: Describing a reflection | drfrost.org/explorer.php?ssid=7 | https://www.youtube-nocookie.com/embed/wZmdzlsnkJ4 | E279 |
| 279a | Secondary | Describe a reflection in a vertical or horizontal line on a set of axes. | drfrost.org/explorer.php?ssid=852 | https://www.youtube-nocookie.com/embed/0ffVS3ijEd0 | K491 |
| 279b | Secondary | Describe a reflection in a diagonal line on a set of axes. | drfrost.org/explorer.php?ssid=853 | https://www.youtube-nocookie.com/embed/_s25lIaNJ6Q | K492 |
| 280 | Secondary | Exam Practice: Rotational symmetry | drfrost.org/explorer.php?ssid=144 | https://www.youtube-nocookie.com/embed/uoLkjhC-InU | E280 |
| 280a | Secondary | Identify the order of rotational symmetry. | drfrost.org/explorer.php?ssid=996 | https://www.youtube-nocookie.com/embed/uoLkjhC-InU | K98 |
| 280b | Secondary | Identify shapes with a given order of rotational symmetry from their name. | drfrost.org/explorer.php?ssid=5426 | ||
| 280c | Secondary | Draw or modify a diagram to achieve a rotational symmetry of a given order. | drfrost.org/explorer.php?ssid=8325 | ||
| 281 | Secondary | Exam Practice: Rotating a shape by a given angle around a given point | drfrost.org/explorer.php?ssid=10 | https://www.youtube-nocookie.com/embed/WgKHtet5dNU | E281 |
| 281a | Secondary | Rotate a shape by 90^{\circ}, 180^{\circ} or 270^{\circ} about a point on a grid. | drfrost.org/explorer.php?ssid=5427 | ||
| 281b | Secondary | Rotate a shape by 90^{\circ}, 180^{\circ} or 270^{\circ} on axes, about the origin, using tracing paper. | drfrost.org/explorer.php?ssid=2318 | ||
| 281c | Secondary | Rotate a shape by by 90^{\circ}, 180^{\circ} or 270^{\circ} on axes, about any point, using tracing paper. | drfrost.org/explorer.php?ssid=802 | K276 | |
| 281d | Secondary | Rotate a shape by 90^{\circ} or 270^{\circ}on axes, about any point, without tracing paper. | drfrost.org/explorer.php?ssid=5428 | ||
| 281e | Secondary | Rotate a shape by 180^{\circ} on axes, about any point, without tracing paper. | drfrost.org/explorer.php?ssid=5429 | ||
| 282 | Secondary | Exam Practice: Describing a rotation | drfrost.org/explorer.php?ssid=11 | https://www.youtube-nocookie.com/embed/TahCIk3iDCE | E282 |
| 282a | Secondary | Describe a rotation centred at the origin. | drfrost.org/explorer.php?ssid=854 | https://www.youtube-nocookie.com/embed/N-PlllnzOWs | K282 |
| 282b | Secondary | Describe a rotation centred at any point. | drfrost.org/explorer.php?ssid=855 | https://www.youtube-nocookie.com/embed/rH8ap8kJTWg | K283 |
| 282c | Secondary | Use positive and negative numbers to describe the direction of a rotation. | drfrost.org/explorer.php?ssid=5430 | ||
| 283 | Secondary | Exam Practice: Scale drawings including map scales | drfrost.org/explorer.php?ssid=132 | https://www.youtube-nocookie.com/embed/6H_h_YrLf-M | E283 |
| 283a | Secondary | Determine the measurement of a real-life object given a measurement on a model and a ratio in the form 1:n | drfrost.org/explorer.php?ssid=5431 | ||
| 283b | Secondary | Determine the measurement of a model given the real-life measurement and a ratio in the form 1:n | drfrost.org/explorer.php?ssid=5432 | ||
| 283c | Secondary | Determine and use a scale, given the measure of the real-life and scaled objects. | drfrost.org/explorer.php?ssid=8426 | ||
| 283d | Secondary | Estimate the measurement of a real-life object given a scale drawing and another real-life measurement. | drfrost.org/explorer.php?ssid=5433 | ||
| 283e | Secondary | Estimate the measurement of a real-life object given a scale drawing and an estimation of another real-life object. | drfrost.org/explorer.php?ssid=5434 | ||
| 283f | Secondary | Use a map scale to find an actual distance. | drfrost.org/explorer.php?ssid=1376 | https://www.youtube-nocookie.com/embed/61MN_RknWA4 | K543 |
| 283g | Secondary | Use a map scale to find a distance on a map. | drfrost.org/explorer.php?ssid=8442 | ||
| 283h | Secondary | Use a map scale given in the form 1:n to find an actual distance. | drfrost.org/explorer.php?ssid=1377 | https://www.youtube-nocookie.com/embed/jgwxNzCUW14 | K544 |
| 283i | Secondary | Use a map to estimate a distance given another distance on the map. | drfrost.org/explorer.php?ssid=8443 | ||
| 283j | Secondary | Complete scale drawings with bearings. | drfrost.org/explorer.php?ssid=5435 | ||
| 284 | Secondary | Exam Practice: Constructions with lines and angles | drfrost.org/explorer.php?ssid=131 | https://www.youtube-nocookie.com/embed/b35saVAV21o | E284 |
| 284a | Secondary | Understand Euclid's Postulates that form the basis of constructing diagrams with a straight edge and compass. | drfrost.org/explorer.php?ssid=5436 | ||
| 284b | Secondary | Construct a circle with a given radius. | drfrost.org/explorer.php?ssid=5437 | ||
| 284c | Secondary | Construct the perpendicular bisector of a line. | drfrost.org/explorer.php?ssid=1127 | K533 | |
| 284d | Secondary | Construct the bisector of an angle. | drfrost.org/explorer.php?ssid=1128 | K534 | |
| 284e | Secondary | Construct a line perpendicular to another line, passing through a given point. | drfrost.org/explorer.php?ssid=1415 | K536 | |
| 284f | Secondary | Construct a line perpendicular to another line, passing through a given point on the line. | drfrost.org/explorer.php?ssid=1416 | K537 | |
| 284g | Secondary | Construct a line segment of a given length on a given ray | drfrost.org/explorer.php?ssid=5438 | ||
| 284h | Secondary | Construct a division of a line segment into two equal segments. | drfrost.org/explorer.php?ssid=5439 | ||
| 284i | Secondary | Construct a division of a line segment into three equal segments. | drfrost.org/explorer.php?ssid=5440 | ||
| 284j | Secondary | Construct a division of a line segment into more than three equal segments. | drfrost.org/explorer.php?ssid=5441 | ||
| 284k | Secondary | Construct a 60 degree angle. | drfrost.org/explorer.php?ssid=5442 | ||
| 284l | Secondary | Construct a 30 degree angle. | drfrost.org/explorer.php?ssid=5443 | ||
| 284m | Secondary | Construct a 90 degree angle. | drfrost.org/explorer.php?ssid=5444 | ||
| 284n | Secondary | Construct a 45 degree angle. | drfrost.org/explorer.php?ssid=5445 | ||
| 284o | Secondary | Construct a parallelogram given the length of the sides and the measure of the angles. | drfrost.org/explorer.php?ssid=5446 | ||
| 284p | Secondary | Construct a hexagon inside a circle. | drfrost.org/explorer.php?ssid=5447 | ||
| 284q | Secondary | Construct a square given one of the sides. | drfrost.org/explorer.php?ssid=5448 | ||
| 284r | Secondary | Determine the centre of rotation between a shape and its image by constructing perpendicular bisectors. | drfrost.org/explorer.php?ssid=5449 | ||
| 285 | Secondary | Exam Practice: Loci | drfrost.org/explorer.php?ssid=133 | E285 | |
| 285a | Secondary | Construct the locus of the points away from two given points. | drfrost.org/explorer.php?ssid=1411 | K538 | |
| 285b | Secondary | Construct the locus of the points away from at least two line segments. | drfrost.org/explorer.php?ssid=1412 | K539 | |
| 285c | Secondary | Construct the locus of the points away from a point and a line segment. | drfrost.org/explorer.php?ssid=1413 | K540 | |
| 285d | Secondary | Construct the locus of the points away from a shape. | drfrost.org/explorer.php?ssid=1469 | K541 | |
| 285e | Secondary | Construct the locus of the points equidistant from two points. | drfrost.org/explorer.php?ssid=1470 | K542 | |
| 285f | Secondary | Construct the locus of points given multiple criteria. | drfrost.org/explorer.php?ssid=8791 | ||
| 286 | Secondary | Exam Practice: Drawing and constructing triangles | drfrost.org/explorer.php?ssid=4267 | E286 | |
| 286a | Secondary | Construct an equilateral triangle given one of its edges. | drfrost.org/explorer.php?ssid=5450 | ||
| 286b | Secondary | Construct a triangle given two angles and a side (ASA). | drfrost.org/explorer.php?ssid=1353 | K535 | |
| 286c | Secondary | Construct a triangle given a right-angle, another angle and a side (ASA). | drfrost.org/explorer.php?ssid=5451 | ||
| 286d | Secondary | Construct a triangle given three sides (SSS). | drfrost.org/explorer.php?ssid=5452 | ||
| 286e | Secondary | Construct a triangle given two sides and their included angle (SAS). | drfrost.org/explorer.php?ssid=5453 | ||
| 286f | Secondary | Construct a right-angled triangle given the lengths of the hypotenuse and another side. | drfrost.org/explorer.php?ssid=5454 | ||
| 287 | Secondary | Exam Practice: Fractals | drfrost.org/explorer.php?ssid=4268 | E287 | |
| 287a | Secondary | Understand properties of fractals. | drfrost.org/explorer.php?ssid=5455 | ||
| 287b | Secondary | Know the names of common fractal types. | drfrost.org/explorer.php?ssid=5456 | ||
| 287c | Secondary | Use a fractal rule to construct a shape to a particular depth. | drfrost.org/explorer.php?ssid=5457 | ||
| 287d | Secondary | Appreciate the occurrence of fractal features in natural phenomena. | drfrost.org/explorer.php?ssid=5458 | ||
| 288 | Secondary | Exam Practice: Pythagoras' theorem in 2D (excluding surds) | drfrost.org/explorer.php?ssid=137 | https://www.youtube-nocookie.com/embed/SaU9vS6HJEs | E288 |
| 288a | Secondary | Use Pythagoras' theorem to calculate the hypotenuse of a right-angled triangle. | drfrost.org/explorer.php?ssid=718 | https://www.youtube-nocookie.com/embed/1U9hMmNtGgo | K504 |
| 288b | Secondary | Use Pythagoras' theorem to calculate a shorter side of a right-angled triangle. | drfrost.org/explorer.php?ssid=719 | https://www.youtube-nocookie.com/embed/MJTMhKRiorI | K505 |
| 288c | Secondary | Determine if a triangle is right-angled or if it is possible to construct (converse of Pythagoras' theorem). | drfrost.org/explorer.php?ssid=959 | https://www.youtube-nocookie.com/embed/pjvo_fTa9KU | K506 |
| 288d | Secondary | Use Pythagoras' theorem to find a length in an isosceles triangle. | drfrost.org/explorer.php?ssid=1193 | https://www.youtube-nocookie.com/embed/vp2Xn5sGGCY | K508 |
| 288e | Secondary | Use Pythagoras' theorem to find the area of a triangle. | drfrost.org/explorer.php?ssid=2014 | https://www.youtube-nocookie.com/embed/ibcy0Ro6UhQ | |
| 288f | Secondary | Use the area of a triangle to find a length. | drfrost.org/explorer.php?ssid=2052 | https://www.youtube-nocookie.com/embed/86Tenxw6UQQ | |
| 288g | Secondary | Use Pythagoras' theorem to find the area of a kite. | drfrost.org/explorer.php?ssid=8817 | https://www.youtube-nocookie.com/embed/H8xijQsCT34 | |
| 288h | Secondary | Use Pythagoras' theorem to solve problems involving movement in cardinal directions. | drfrost.org/explorer.php?ssid=2057 | https://www.youtube-nocookie.com/embed/eHnNNwZcLTI | |
| 288i | Secondary | Use Pythagoras' theorem to find a cost or other physical quantity involving the perimeter of a shape. | drfrost.org/explorer.php?ssid=2071 | https://www.youtube-nocookie.com/embed/o4cp_rrCU0w | |
| 288j | Secondary | Use Pythagoras' theorem to find a cost or other physical quantity involving the area of a shape. | drfrost.org/explorer.php?ssid=2072 | https://www.youtube-nocookie.com/embed/U9OPnpFN-lo | |
| 288k | Secondary | Use Pythagoras' theorem twice for two triangles with a shared shorter side. | drfrost.org/explorer.php?ssid=1226 | https://www.youtube-nocookie.com/embed/2nxt3yFVs9k | K509 |
| 288l | Secondary | Use Pythagoras' theorem twice where a hypotenuse and a shorter length are shared. | drfrost.org/explorer.php?ssid=1617 | https://www.youtube-nocookie.com/embed/g2bn0bGmGtY | |
| 288m | Secondary | Use Pythagoras' theorem twice where a right-angled triangle is inscribed into another. | drfrost.org/explorer.php?ssid=1681 | https://www.youtube-nocookie.com/embed/xsdkhBAiAFQ | |
| 288n | Secondary | Use Pythagoras' theorem to find the area or circumference of a circle from an inscribed triangle or rectangle | drfrost.org/explorer.php?ssid=8724 | https://www.youtube-nocookie.com/embed/eVkCo0VSGb0 | |
| 288o | Secondary | Use Pythagoras' theorem to find the perimeter of a compound shape that involves a circle. | drfrost.org/explorer.php?ssid=2067 | https://www.youtube-nocookie.com/embed/egPj41h-IOY | |
| 288p | Secondary | Use Pythagoras' theorem to determine the area of a compound shape that involves a circle. | drfrost.org/explorer.php?ssid=2069 | https://www.youtube-nocookie.com/embed/qbQLk-7cyY4 | |
| 288q | Secondary | Use Pythagoras' theorem to determine a length in a trapezium. | drfrost.org/explorer.php?ssid=2107 | https://www.youtube-nocookie.com/embed/rB4T6DMnjcQ | |
| 288r | Secondary | Determine the perimeter of a polygon formed from triangles. | drfrost.org/explorer.php?ssid=2135 | https://www.youtube-nocookie.com/embed/y7_Ym-uVMF8 | |
| 288s | Secondary | Use the length of the diagonal of a square to find its side length. | drfrost.org/explorer.php?ssid=2194 | https://www.youtube-nocookie.com/embed/GIVOG7CW1ZI | |
| 288t | Secondary | Determine a length related to the side of an octagon enclosed in a square. | drfrost.org/explorer.php?ssid=8751 | https://www.youtube-nocookie.com/embed/4eHDttlt_us | |
| 288u | Secondary | Determine a length involving touching circles. | drfrost.org/explorer.php?ssid=2203 | https://www.youtube-nocookie.com/embed/Wx-2FvUWePI | |
| 288v | Secondary | Prove Pythagoras' theorem and its converse. | drfrost.org/explorer.php?ssid=5459 | https://www.youtube-nocookie.com/embed/uICzJdMY5E0 | |
| 289 | Secondary | Exam Practice: Distance between two points given their coordinates | drfrost.org/explorer.php?ssid=367 | https://www.youtube-nocookie.com/embed/ubyFqGudR_s | E289 |
| 289a | Secondary | Use Pythagoras' theorem to find the distance between two points. | drfrost.org/explorer.php?ssid=788 | https://www.youtube-nocookie.com/embed/-XxWqKmrq-U | K507 |
| 289b | Secondary | Use Pythagoras' theorem to determine the perimeter of a rectangle on a coordinate grid. | drfrost.org/explorer.php?ssid=5460 | https://www.youtube-nocookie.com/embed/9JRnMqJuv0c | |
| 289c | Secondary | Use Pythagoras' theorem to determine the perimeter of a rectangle given the coordinates of its vertices. | drfrost.org/explorer.php?ssid=8848 | https://www.youtube-nocookie.com/embed/382OCIfJJ10 | |
| 290 | Secondary | Exam Practice: Properties of congruent shapes | drfrost.org/explorer.php?ssid=4269 | E290 | |
| 290a | Secondary | Identify congruent shapes. | drfrost.org/explorer.php?ssid=5461 | ||
| 290b | Secondary | Identify angles and lengths in congruent shapes. | drfrost.org/explorer.php?ssid=5462 | ||
| 290c | Secondary | Identify whether two triangles are congruent by SSS, SAS, ASA or RHS. | drfrost.org/explorer.php?ssid=5463 | ||
| 291 | Secondary | Exam Practice: Properties of similar shapes | drfrost.org/explorer.php?ssid=4270 | E291 | |
| 291a | Secondary | Determine an angle in a shape similar to another. | drfrost.org/explorer.php?ssid=5464 | ||
| 291b | Secondary | Determine an angle in a shape similar to another with unknown angles. | drfrost.org/explorer.php?ssid=5465 | ||
| 291c | Secondary | Determine the scale factor between two similar shapes. | drfrost.org/explorer.php?ssid=5466 | ||
| 291d | Secondary | Identify similar shapes. | drfrost.org/explorer.php?ssid=8653 | ||
| 291e | Secondary | Determine if two shapes are similar given their lengths, considering the ratio of corresponding lengths in the shapes. | drfrost.org/explorer.php?ssid=5467 | ||
| 291f | Secondary | Determine if two shapes are similar given their lengths, considering the ratio of lengths within the shapes. | drfrost.org/explorer.php?ssid=5468 | ||
| 292 | Secondary | Exam Practice: Determine unknown lengths in similar shapes | drfrost.org/explorer.php?ssid=139 | https://www.youtube-nocookie.com/embed/DJfaDL9JPyo | E292 |
| 292a | Secondary | Determine unknown lengths given two separate similar shapes. | drfrost.org/explorer.php?ssid=734 | https://www.youtube-nocookie.com/embed/wlWIGPNbU1k | K520 |
| 292b | Secondary | Determine unknown lengths given two similar triangles with one vertex in common. | drfrost.org/explorer.php?ssid=728 | https://www.youtube-nocookie.com/embed/ZtX87R6zgDM | K521 |
| 292c | Secondary | Determine unknown lengths given two similar shapes where one is inscribed inside the other. | drfrost.org/explorer.php?ssid=732 | https://www.youtube-nocookie.com/embed/rCUh4spSAhM | K522 |
| 292d | Secondary | Determine missing lengths given two similar shapes and information about their perimeters. | drfrost.org/explorer.php?ssid=5469 | ||
| 292e | Secondary | Calculate the amount of trimming required when enlarging an image from one size to another. | drfrost.org/explorer.php?ssid=5470 | ||
| 292f | Secondary | Determine unknown lengths given two similar shapes where one is inscribed inside the other and requires subtraction. | drfrost.org/explorer.php?ssid=733 | https://www.youtube-nocookie.com/embed/j7lxlY9Wdw0 | K523 |
| 292g | Secondary | Determine an unknown shorter length on the coinciding side of one shape inscribed inside another. | drfrost.org/explorer.php?ssid=5471 | ||
| 292h | Secondary | Determine a length using similar triangles combined with Pythagoras' theorem. | drfrost.org/explorer.php?ssid=5472 | ||
| 292i | Secondary | Use similar triangles to split a length in a ratio. | drfrost.org/explorer.php?ssid=5473 | ||
| 293 | Secondary | Exam Practice: Midpoint theorem and intercept theorem | drfrost.org/explorer.php?ssid=4271 | E293 | |
| 293a | Secondary | Use the intercept theorem to find an unknown length on a smaller triangle. | drfrost.org/explorer.php?ssid=5475 | ||
| 293b | Secondary | Determine lengths using the intercept theorem in a triangle where multiple lines parallel to a side have been added. | drfrost.org/explorer.php?ssid=5476 | ||
| 293c | Secondary | Prove the midpoint theorem. | drfrost.org/explorer.php?ssid=5477 | ||
| 293d | Secondary | Use the midpoint theorem to reason about angles or lengths in a triangle where two midpoints have been joined. | drfrost.org/explorer.php?ssid=5478 | ||
| 293e | Secondary | Use the midpoint theorem to find the perimeter of a triangle formed by joining the midpoints of a larger triangle. | drfrost.org/explorer.php?ssid=5479 | ||
| 293f | Secondary | Use the intercept theorem to find unknown lengths in a diagram where a parallelogram is inscribed inside a triangle. | drfrost.org/explorer.php?ssid=5480 | ||
| 293g | Secondary | Use the converse of the midpoint theorem. | drfrost.org/explorer.php?ssid=5481 | ||
| 294 | Secondary | Exam Practice: Describing an enlargement/dilation for a positive integer scale factor | drfrost.org/explorer.php?ssid=13 | https://www.youtube-nocookie.com/embed/frfbJCqYf5Y | E294 |
| 294a | Secondary | Identify the scale factor of enlargement/dilation. | drfrost.org/explorer.php?ssid=2186 | ||
| 294b | Secondary | Describe an enlargement/dilation with an integer scale factor. | drfrost.org/explorer.php?ssid=858 | https://www.youtube-nocookie.com/embed/C-Ri_p-kz04 | K286 |
| 295 | Secondary | Exam Practice: Enlarging/dilating a shape by a given positive integer scale factor around a given centre of enlargement/dilation. | drfrost.org/explorer.php?ssid=12 | https://www.youtube-nocookie.com/embed/EbVnFbA4O5w | E295 |
| 295a | Secondary | Enlarge/dilate a shape by a positive integer scale factor with no given centre of enlargement/dilation. | drfrost.org/explorer.php?ssid=8587 | ||
| 295b | Secondary | Enlarge/dilate a shape by a positive integer scale factor around a given centre of enlargement/dilation. | drfrost.org/explorer.php?ssid=803 | https://www.youtube-nocookie.com/embed/i3_SRGPc1Bc | K285 |
| 296 | Secondary | Exam Practice: Describing an enlargement/dilation for a positive decimal or positive fractional scale factor | drfrost.org/explorer.php?ssid=578 | E296 | |
| 296a | Secondary | Describe an enlargement/dilation with a unit fraction scale factor. | drfrost.org/explorer.php?ssid=5482 | ||
| 296b | Secondary | Describe an enlargement/dilation with a decimal/fractional scale factor less than one. | drfrost.org/explorer.php?ssid=859 | https://www.youtube-nocookie.com/embed/J7xIqspTw3Q | K495 |
| 296c | Secondary | Describe an enlargement/dilation with a decimal/fractional scale factor greater than one. | drfrost.org/explorer.php?ssid=5483 | ||
| 297 | Secondary | Exam Practice: Enlarging/dilating a shape by a decimal or fractional scale factor | drfrost.org/explorer.php?ssid=579 | E297 | |
| 297a | Secondary | Enlarge/dilate a shape by a unit fraction scale factor. | drfrost.org/explorer.php?ssid=5484 | ||
| 297b | Secondary | Enlarge/dilate a shape by a decimal or fractional scale factor less than one. | drfrost.org/explorer.php?ssid=805 | https://www.youtube-nocookie.com/embed/OtXz8iA2Zxs | K494 |
| 297c | Secondary | Enlarge/dilate a shape by a decimal or fractional scale factor greater than one. | drfrost.org/explorer.php?ssid=5485 | ||
| 298 | Secondary | Exam Practice: Negative indices | drfrost.org/explorer.php?ssid=57 | https://www.youtube-nocookie.com/embed/RBPbRrHSCVs | E298 |
| 298a | Secondary | Raise a whole number to a negative integer power. | drfrost.org/explorer.php?ssid=648 | https://www.youtube-nocookie.com/embed/nGRL49vG1PA | K436 |
| 298b | Secondary | Raise a fraction to a negative integer power. | drfrost.org/explorer.php?ssid=649 | https://www.youtube-nocookie.com/embed/BRHrDcQEFao | K437 |
| 298c | Secondary | Raise a decimal to a negative integer power. | drfrost.org/explorer.php?ssid=8343 | ||
| 298d | Secondary | Raise an algebraic term to a negative integer power. | drfrost.org/explorer.php?ssid=818 | https://www.youtube-nocookie.com/embed/vNLeaAm9UVU | K440 |
| 298e | Secondary | Write a fraction with an algebraic term on the denominator as a power of x | drfrost.org/explorer.php?ssid=1621 | ||
| 298f | Secondary | Raise an algebraic fraction to a negative integer power. | drfrost.org/explorer.php?ssid=2267 | ||
| 298g | Secondary | Determine the unknown power in an expression involving negative indices, given its equivalent value as a fraction. | drfrost.org/explorer.php?ssid=2258 | ||
| 298h | Secondary | Determine the unknown base in an expression involving negative indices, given its equivalent as a fraction. | drfrost.org/explorer.php?ssid=2310 | ||
| 298i | Secondary | Determine the unknown power or base in an expression involving negative indices, given its equivalent as a decimal. | drfrost.org/explorer.php?ssid=2314 | ||
| 298j | Secondary | Determine the unknown power in an expression involving index laws and negative indices, given its numeric equivalent. | drfrost.org/explorer.php?ssid=2268 | ||
| 298k | Secondary | Determine the unknown base in an expression involving index laws and negative indices, given its numeric equivalent. | drfrost.org/explorer.php?ssid=2311 | ||
| 299 | Secondary | Exam Practice: Expanding two brackets | drfrost.org/explorer.php?ssid=70 | https://www.youtube-nocookie.com/embed/QwAwH5qiA1Y | E299 |
| 299a | Secondary | Expand double brackets given in the form (x+a)(x+b) | drfrost.org/explorer.php?ssid=5486 | https://www.youtube-nocookie.com/embed/Fu3UfgcFiVc | |
| 299b | Secondary | Expand double brackets given in the form (x- a)(x- b) | drfrost.org/explorer.php?ssid=632 | https://www.youtube-nocookie.com/embed/T1KG1Q9AXfQ | K351 |
| 299c | Secondary | Expand double brackets given in the form (x + a)(x - b) | drfrost.org/explorer.php?ssid=8723 | https://www.youtube-nocookie.com/embed/l43UvD8Yyvw | |
| 299d | Secondary | Expand double brackets given in the form (x-a)(x+a) | drfrost.org/explorer.php?ssid=1351 | https://www.youtube-nocookie.com/embed/ZdQ9HC4KB9k | K354 |
| 299e | Secondary | Expand double brackets given in the form (x \pm a)^2 | drfrost.org/explorer.php?ssid=1295 | https://www.youtube-nocookie.com/embed/oXtG1JxXyPU | K353 |
| 299f | Secondary | Expand double brackets given in the form (ax \pm b)(cx \pm d) | drfrost.org/explorer.php?ssid=633 | https://www.youtube-nocookie.com/embed/y0kIV_rvR9Y | K352 |
| 299g | Secondary | Expand double brackets given in the form (ax-b)(ax+b) | drfrost.org/explorer.php?ssid=5487 | https://www.youtube-nocookie.com/embed/QNkmN1Os8qU | |
| 299h | Secondary | Expand double brackets given in the form (a \pm bx)(c \pm dx) | drfrost.org/explorer.php?ssid=5488 | https://www.youtube-nocookie.com/embed/GsuPJ0EMNIQ | |
| 299i | Secondary | Expand double brackets involving binomial expressions with multiple variables. | drfrost.org/explorer.php?ssid=5489 | https://www.youtube-nocookie.com/embed/i5RmMFb-zm4 | |
| 299j | Secondary | Expand double brackets with up to three terms in a single bracket. | drfrost.org/explorer.php?ssid=5490 | https://www.youtube-nocookie.com/embed/E8LWcdZknjU | |
| 299k | Secondary | Expand double brackets given in the form (ax \pm b)(cx^2 \pm dx \pm e) | drfrost.org/explorer.php?ssid=1013 | https://www.youtube-nocookie.com/embed/a1dhEi_eMbA | K763 |
| 299l | Secondary | Expand a single term and two brackets given in the form ax(bx \pm c)(dx \pm e) | drfrost.org/explorer.php?ssid=2015 | https://www.youtube-nocookie.com/embed/T3ZsF8tWnnY | |
| 299m | Secondary | Expand double brackets involving index laws. | drfrost.org/explorer.php?ssid=5491 | https://www.youtube-nocookie.com/embed/Kt5sMcFGxSA | |
| 299n | Secondary | Expand and simplify the sum of a double and single bracket expansion. | drfrost.org/explorer.php?ssid=1403 | https://www.youtube-nocookie.com/embed/3jZhlmQXQVc | K356 |
| 299o | Secondary | Expand and simplify the difference of a double and single bracket expansion. | drfrost.org/explorer.php?ssid=8722 | https://www.youtube-nocookie.com/embed/TQDZpN-BgHc | |
| 299p | Secondary | Expand and simplify the sum of two double bracket expansions. | drfrost.org/explorer.php?ssid=5492 | https://www.youtube-nocookie.com/embed/x8gqr-4cR2k | |
| 299q | Secondary | Expand and simplify the difference of two double bracket expansions. | drfrost.org/explorer.php?ssid=1400 | https://www.youtube-nocookie.com/embed/LxWeb-t1RlU | K355 |
| 299r | Secondary | Expand an expression given in the form (ax \pm b)^2 \pm (cx\pm d)^2 | drfrost.org/explorer.php?ssid=2017 | https://www.youtube-nocookie.com/embed/7TAbB7uxxmc | |
| 299s | Secondary | Expand an expression given in the form (a\pm\frac{b}{x})^2 | drfrost.org/explorer.php?ssid=2018 | https://www.youtube-nocookie.com/embed/zyWH8DhU2Kk | |
| 300 | Secondary | Exam Practice: Expanding three (or more) brackets | drfrost.org/explorer.php?ssid=501 | E300 | |
| 300a | Secondary | Expand an expression given in the form (x \pm a)(x \pm b)(x \pm c) | drfrost.org/explorer.php?ssid=1650 | https://www.youtube-nocookie.com/embed/BuacIrsxZ6g | |
| 300b | Secondary | Expand an expression given in the form (x \pm a)(bx \pm c)(dx \pm e) | drfrost.org/explorer.php?ssid=5494 | ||
| 300c | Secondary | Expand an expression given in the form (ax \pm b)(cx \pm d)(ex \pm f) | drfrost.org/explorer.php?ssid=634 | https://www.youtube-nocookie.com/embed/GyqOPBdGcHo | K357 |
| 300d | Secondary | Expand an expression given in the form (ax \pm b)^3 | drfrost.org/explorer.php?ssid=1294 | https://www.youtube-nocookie.com/embed/kpMH9JabDQA | K358 |
| 300e | Secondary | Expand an expression given in the form (ax+b)^2(cx+d) | drfrost.org/explorer.php?ssid=1994 | https://www.youtube-nocookie.com/embed/hxqegvamG9c | |
| 300f | Secondary | Expand an expression given in the form (ax+b)^3+(cx+d)^2 | drfrost.org/explorer.php?ssid=2009 | https://www.youtube-nocookie.com/embed/QdhWhTMVgIk | |
| 301 | Secondary | Exam Practice: Conversion of large numbers to and from standard form/scientific notation | drfrost.org/explorer.php?ssid=45 | https://www.youtube-nocookie.com/embed/v2m_PKVVLwQ | E301 |
| 301a | Secondary | Determine the smallest or largest value from numbers greater than 1 written in standard form/scientific notation. | drfrost.org/explorer.php?ssid=5495 | ||
| 301b | Secondary | Order a set of large numbers given in standard form/scientific notation, without converting to ordinary numbers. | drfrost.org/explorer.php?ssid=8283 | ||
| 301c | Secondary | Convert a large number to standard form/scientific notation. | drfrost.org/explorer.php?ssid=789 | https://www.youtube-nocookie.com/embed/S_3w3bpPQfM | K444 |
| 301d | Secondary | Convert a large number in standard form/scientific notation to a normal number. | drfrost.org/explorer.php?ssid=791 | https://www.youtube-nocookie.com/embed/KPcVaXrh198 | K446 |
| 301e | Secondary | Convert a large number given in the form a \times 10^b, where a \ge 10 and b is positive, to standard form/scientific notation. | drfrost.org/explorer.php?ssid=790 | https://www.youtube-nocookie.com/embed/0sWuPH0AIBQ | K447 |
| 301f | Secondary | Order a mixture of larger numbers given in standard form/scientific notation and ordinary numbers. | drfrost.org/explorer.php?ssid=1448 | K443 | |
| 301g | Secondary | Order a mixture of larger numbers given in standard form/scientific notation, ordinary numbers and a \times 10^b form, where a \ge 10 and b is positive. | drfrost.org/explorer.php?ssid=8282 | ||
| 302 | Secondary | Exam Practice: Conversion of small numbers to and from standard form/scientific notation | drfrost.org/explorer.php?ssid=46 | https://www.youtube-nocookie.com/embed/3pUioUlapFw | E302 |
| 302a | Secondary | Determine the smallest or largest value from numbers less than 1 written in standard form/scientific notation. | drfrost.org/explorer.php?ssid=8787 | ||
| 302b | Secondary | Order a set of small numbers given in standard form/scientific notation, without converting to ordinary numbers. | drfrost.org/explorer.php?ssid=8286 | ||
| 302c | Secondary | Convert a small number to standard form/scientific notation. | drfrost.org/explorer.php?ssid=1263 | https://www.youtube-nocookie.com/embed/nsl2604P89o | K445 |
| 302d | Secondary | Convert a small number in standard form/scientific notation to a normal number. | drfrost.org/explorer.php?ssid=2355 | ||
| 302e | Secondary | Convert a number given in the form a \times 10^b, where a <1 or a \ge 10, to standard form/scientific notation. | drfrost.org/explorer.php?ssid=2350 | ||
| 302f | Secondary | Order a mixture of small numbers given in standard form/scientific notation and ordinary numbers. | drfrost.org/explorer.php?ssid=2351 | ||
| 302g | Secondary | Order a mixture of small numbers given in standard form/scientific notation, ordinary numbers and a \times 10^b form, where a <1 or a \ge 10 and b is negative. | drfrost.org/explorer.php?ssid=8285 | ||
| 303 | Secondary | Exam Practice: Adding or subtracting numbers in standard form/scientific notation | drfrost.org/explorer.php?ssid=48 | https://www.youtube-nocookie.com/embed/8ozX1iXs_GI | E303 |
| 303a | Secondary | Add or subtract numbers in standard form/scientific notation by use of a scientific calculator. | drfrost.org/explorer.php?ssid=8344 | ||
| 303b | Secondary | Add or subtract large numbers in standard form/scientific notation by conversion to ordinary numbers. | drfrost.org/explorer.php?ssid=795 | https://www.youtube-nocookie.com/embed/pdsE38Z8UmA | K448 |
| 303c | Secondary | Add or subtract small numbers in standard form/scientific notation by conversion to ordinary numbers. | drfrost.org/explorer.php?ssid=796 | https://www.youtube-nocookie.com/embed/4XbZpicZ0Ng | K449 |
| 303d | Secondary | Add or subtract large numbers in standard form/scientific notation by use of equivalent powers of 10. | drfrost.org/explorer.php?ssid=5496 | ||
| 303e | Secondary | Add or subtract small numbers in standard form/scientific notation by use of equivalent powers of 10. | drfrost.org/explorer.php?ssid=5497 | ||
| 304 | Secondary | Exam Practice: Multiplying and dividing numbers in standard form/scientific notation | drfrost.org/explorer.php?ssid=47 | https://www.youtube-nocookie.com/embed/BWNWVZF41rA | E304 |
| 304a | Secondary | Multiply or divide numbers in standard form/scientific notation by use of a scientific calculator. | drfrost.org/explorer.php?ssid=8345 | ||
| 304b | Secondary | Multiply numbers in standard form/scientific notation with only positive powers where no index adjustment is required. | drfrost.org/explorer.php?ssid=2373 | ||
| 304c | Secondary | Divide numbers in standard form/scientific notation with only positive powers where no index adjustment is required. | drfrost.org/explorer.php?ssid=2377 | ||
| 304d | Secondary | Multiply numbers in standard form/scientific notation with only positive powers where index adjustment is required. | drfrost.org/explorer.php?ssid=2375 | ||
| 304e | Secondary | Divide numbers in standard form/scientific notation with only positive powers where index adjustment is required. | drfrost.org/explorer.php?ssid=2372 | ||
| 304f | Secondary | Multiply numbers in standard form/scientific notation with a mixture of positive and negative powers where index adjustment may be required. | drfrost.org/explorer.php?ssid=2376 | ||
| 304g | Secondary | Divide numbers in standard form/scientific notation where the first power is negative and where index adjustment may be required. | drfrost.org/explorer.php?ssid=2379 | ||
| 304h | Secondary | Divide numbers in standard form/scientific notation where the second power is negative and where index adjustment may be required. | drfrost.org/explorer.php?ssid=794 | https://www.youtube-nocookie.com/embed/wAF2i7JMh9w | K452 |
| 304i | Secondary | Complete calculations in standard form combining an addition/subtraction with a multiplication/division by use of a scientific calculator. | drfrost.org/explorer.php?ssid=8413 | ||
| 304j | Secondary | Raise an algebraic expression in standard form to a positive integer power, converting back to standard form. | drfrost.org/explorer.php?ssid=5498 | ||
| 305 | Secondary | Exam Practice: Bases of number systems and counting in different bases | drfrost.org/explorer.php?ssid=430 | E305 | |
| 305a | Secondary | Count in bases other than base 10. | drfrost.org/explorer.php?ssid=5499 | ||
| 305b | Secondary | Identify the base of a number system. | drfrost.org/explorer.php?ssid=5500 | ||
| 306 | Secondary | Exam Practice: Converting numbers to decimal from another base | drfrost.org/explorer.php?ssid=431 | E306 | |
| 306a | Secondary | Convert numbers to decimal from binary. | drfrost.org/explorer.php?ssid=1855 | https://www.youtube-nocookie.com/embed/6uDIPxV7VhA | |
| 306b | Secondary | Convert numbers to decimal from any base between 3 and 9. | drfrost.org/explorer.php?ssid=1858 | https://www.youtube-nocookie.com/embed/LAlLv8ddgpY | |
| 306c | Secondary | Convert numbers to decimal from any base greater than 10. | drfrost.org/explorer.php?ssid=1859 | https://www.youtube-nocookie.com/embed/nLzcKkcZnyo | |
| 306d | Secondary | Write an expression, in terms of n for the value of a number in decimal, when written in base n | drfrost.org/explorer.php?ssid=5501 | ||
| 307 | Secondary | Exam Practice: Converting a number from decimal to another base. | drfrost.org/explorer.php?ssid=432 | E307 | |
| 307a | Secondary | Convert numbers from decimal to binary. | drfrost.org/explorer.php?ssid=1861 | ||
| 307b | Secondary | Convert numbers from decimal to any base between 3 and 9. | drfrost.org/explorer.php?ssid=1862 | ||
| 307c | Secondary | Convert numbers from decimal to any base greater than 10. | drfrost.org/explorer.php?ssid=1863 | ||
| 308 | Secondary | Exam Practice: Converting to and from other ancient number systems | drfrost.org/explorer.php?ssid=4272 | E308 | |
| 308a | Secondary | Convert a number from Egyptian numeral hieroglyphs to decimal. | drfrost.org/explorer.php?ssid=5502 | ||
| 308b | Secondary | Convert a number from Mayan (base 20) to decimal. | drfrost.org/explorer.php?ssid=5503 | ||
| 308c | Secondary | Convert a number from Babylonian (base 60) to decimal. | drfrost.org/explorer.php?ssid=5504 | ||
| 308d | Secondary | Convert a number from Cistercian numerals to decimal. | drfrost.org/explorer.php?ssid=5505 | ||
| 309 | Secondary | Exam Practice: Understanding algebraic statements of inequality | drfrost.org/explorer.php?ssid=87 | https://www.youtube-nocookie.com/embed/aospnqxvk2w | E309 |
| 309a | Secondary | Represent a one-ended inequality on a number line. | drfrost.org/explorer.php?ssid=1121 | https://www.youtube-nocookie.com/embed/JKSbMlBdeyA | K341 |
| 309b | Secondary | Interpret a one-ended inequality represented on a number line. | drfrost.org/explorer.php?ssid=1055 | https://www.youtube-nocookie.com/embed/iKJN-j4eIu4 | K342 |
| 309c | Secondary | Represent a two-ended inequality on a number line. | drfrost.org/explorer.php?ssid=5506 | ||
| 309d | Secondary | Interpret a two-ended inequality represented on a number line. | drfrost.org/explorer.php?ssid=5507 | ||
| 309e | Secondary | List the integer values represented by an inequality on a number line. | drfrost.org/explorer.php?ssid=5508 | ||
| 309f | Secondary | List the integer values represented by an algebraic statement of inequality. | drfrost.org/explorer.php?ssid=8338 | ||
| 310 | Secondary | Exam Practice: Upper and lower bound of rounded values or identifying an error interval | drfrost.org/explorer.php?ssid=156 | https://www.youtube-nocookie.com/embed/sfrT6b8QoXM | E310 |
| 310a | Secondary | Calculate bounds of a number rounded to the nearest 1, 10, 100, 1000. | drfrost.org/explorer.php?ssid=808 | https://www.youtube-nocookie.com/embed/OwzB3rcsWR8 | K453 |
| 310b | Secondary | Calculate bounds of a number rounded to a given number of decimal places. | drfrost.org/explorer.php?ssid=809 | https://www.youtube-nocookie.com/embed/2j9h0Y-DY-I | K454 |
| 310c | Secondary | Calculate bounds of a number rounded to a given number of significant figures. | drfrost.org/explorer.php?ssid=810 | https://www.youtube-nocookie.com/embed/CsaqPmsDV3Q | K455 |
| 310d | Secondary | Determine the error interval of a rounded number. | drfrost.org/explorer.php?ssid=1120 | https://www.youtube-nocookie.com/embed/4l6Q6IdYkQc | K456 |
| 311 | Secondary | Exam Practice: Forming a grouped frequency table (using inequality notation) | drfrost.org/explorer.php?ssid=4273 | E311 | |
| 311a | Secondary | Read off frequency values from grouped frequency tables. | drfrost.org/explorer.php?ssid=2344 | ||
| 311b | Secondary | Form a grouped frequency table. | drfrost.org/explorer.php?ssid=722 | https://www.youtube-nocookie.com/embed/kR-nhxuin84 | K253 |
| 311c | Secondary | Understand the limitations of grouped data. | drfrost.org/explorer.php?ssid=8397 | ||
| 312 | Secondary | Exam Practice: Estimating the mean from grouped frequency tables | drfrost.org/explorer.php?ssid=387 | https://www.youtube-nocookie.com/embed/lAWcjzTaj6c | E312 |
| 312a | Secondary | Explain why midpoints are used to make estimates from grouped frequency tables. | drfrost.org/explorer.php?ssid=5509 | ||
| 312b | Secondary | Estimate the total from a grouped frequency table. | drfrost.org/explorer.php?ssid=1437 | https://www.youtube-nocookie.com/embed/Catys9NjVvc | K254 |
| 312c | Secondary | Estimate the mean from a grouped frequency table. | drfrost.org/explorer.php?ssid=743 | https://www.youtube-nocookie.com/embed/Jgd-GrmEGiY | K255 |
| 312d | Secondary | Determine an unknown frequency given an estimated mean for a grouped frequency table. | drfrost.org/explorer.php?ssid=5510 | ||
| 313 | Secondary | Exam Practice: Modal and median class interval and estimate of the range from a grouped frequency table | drfrost.org/explorer.php?ssid=4274 | E313 | |
| 313a | Secondary | Identify the modal class from a grouped frequency table. | drfrost.org/explorer.php?ssid=1388 | https://www.youtube-nocookie.com/embed/cJzf3yxizC0 | K256 |
| 313b | Secondary | Identify the class interval of the median for a grouped frequency table. | drfrost.org/explorer.php?ssid=1425 | https://www.youtube-nocookie.com/embed/Am9Fj9A0Vr8 | K257 |
| 313c | Secondary | Determine possible maximum and minimum ranges from grouped frequency tables. | drfrost.org/explorer.php?ssid=5511 | ||
| 314 | Secondary | Exam Practice: Histograms of equal class width | drfrost.org/explorer.php?ssid=4275 | E314 | |
| 314a | Secondary | Complete a histogram with equal class widths using a frequency table. | drfrost.org/explorer.php?ssid=5512 | ||
| 314b | Secondary | Calculate the frequency of a given range on a histogram with equal widths. | drfrost.org/explorer.php?ssid=5513 | ||
| 314c | Secondary | Calculate a proportion or probability from a histogram with equal class widths. | drfrost.org/explorer.php?ssid=8323 | ||
| 315 | Secondary | Exam Practice: Frequency polygons | drfrost.org/explorer.php?ssid=335 | https://www.youtube-nocookie.com/embed/Tpw76PK3zxY | E315 |
| 315a | Secondary | Interpret a frequency polygon for ungrouped data. | drfrost.org/explorer.php?ssid=5514 | ||
| 315b | Secondary | Draw a frequency polygon for ungrouped data. | drfrost.org/explorer.php?ssid=1054 | https://www.youtube-nocookie.com/embed/MppB0LJJOmY | K268 |
| 315c | Secondary | Interpret a frequency polygon for grouped data. | drfrost.org/explorer.php?ssid=5515 | ||
| 315d | Secondary | Draw a frequency polygon for grouped data. | drfrost.org/explorer.php?ssid=5516 | ||
| 315e | Secondary | Compare data sets using frequency polygons. | drfrost.org/explorer.php?ssid=5517 | ||
| 316 | Secondary | Exam Practice: Analysing graphical representations | drfrost.org/explorer.php?ssid=4276 | E316 | |
| 316a | Secondary | Determine the most suitable graphical representation for a set of data. | drfrost.org/explorer.php?ssid=5518 | ||
| 316b | Secondary | Determine the modal value or class interval from a given graphical representation. | drfrost.org/explorer.php?ssid=5519 | ||
| 316c | Secondary | Determine the median value or class interval from a given graphical representation. | drfrost.org/explorer.php?ssid=5520 | ||
| 316d | Secondary | Determine the range or an estimate of the range from a given graphical representation. | drfrost.org/explorer.php?ssid=5521 | ||
| 316e | Secondary | Determine the mean or an estimate of the mean value from a given graphical representation. | drfrost.org/explorer.php?ssid=5522 | ||
| 316f | Secondary | Understand how graphical representations can be used to mislead. | drfrost.org/explorer.php?ssid=5523 | ||
| 317 | Secondary | Exam Practice: Further terms in relation to circles, including chord and segment | drfrost.org/explorer.php?ssid=130 | https://www.youtube-nocookie.com/embed/KtvUWq_6ji0 | E317 |
| 317a | Secondary | Identify tangents, chords, arcs, sectors and segments of a circle. | drfrost.org/explorer.php?ssid=5524 | ||
| 317b | Secondary | Understand and use the relationship between a chord and its perpendicular bisector. | drfrost.org/explorer.php?ssid=5525 | ||
| 317c | Secondary | Determine the length of a perpendicular bisector of a chord in a circle. | drfrost.org/explorer.php?ssid=2118 | ||
| 317d | Secondary | Use the property that equal chords are equidistant from the centre of a circle. | drfrost.org/explorer.php?ssid=5526 | ||
| 318 | Secondary | Exam Practice: Arc length of more general sectors | drfrost.org/explorer.php?ssid=370 | https://www.youtube-nocookie.com/embed/ftfKqYOV1pU | E318 |
| 318a | Secondary | Calculate the arc length of a sector of a circle. | drfrost.org/explorer.php?ssid=1544 | https://www.youtube-nocookie.com/embed/Z2TX1j6L6Lc | K739 |
| 318b | Secondary | Calculate the perimeter of a sector of a circle. | drfrost.org/explorer.php?ssid=721 | https://www.youtube-nocookie.com/embed/KG7TmtN5LoM | K498 |
| 318c | Secondary | Determine the angle of a sector given its arc length and radius. | drfrost.org/explorer.php?ssid=786 | https://www.youtube-nocookie.com/embed/_p69pN_x4rU | K500 |
| 318d | Secondary | Determine the radius of a sector given its arc length and angle. | drfrost.org/explorer.php?ssid=785 | https://www.youtube-nocookie.com/embed/4ONZUnSTTRY | K499 |
| 318e | Secondary | Determine the perimeter of a portion of an annulus. | drfrost.org/explorer.php?ssid=2220 | ||
| 319 | Secondary | Exam Practice: Area of more general sectors | drfrost.org/explorer.php?ssid=575 | E319 | |
| 319a | Secondary | Calculate the area of the sector of a circle. | drfrost.org/explorer.php?ssid=720 | https://www.youtube-nocookie.com/embed/VQ2oYjLIGlM | K501 |
| 319b | Secondary | Determine the angle of a sector given its area and radius. | drfrost.org/explorer.php?ssid=787 | https://www.youtube-nocookie.com/embed/ECTZMzpGf5I | K503 |
| 319c | Secondary | Determine the radius of a sector given its area and angle. | drfrost.org/explorer.php?ssid=784 | https://www.youtube-nocookie.com/embed/j2LnyqJlCXU | K502 |
| 319d | Secondary | Determine the area of a portion of an annulus given the area of a sector. | drfrost.org/explorer.php?ssid=5527 | ||
| 319e | Secondary | Determine the area of a sector given its arc length. | drfrost.org/explorer.php?ssid=2218 | ||
| 319f | Secondary | Determine the perimeter or arc length of a sector given its area. | drfrost.org/explorer.php?ssid=2217 | ||
| 320 | Secondary | Exam Practice: Further constructions involving relationships of triangles and circles | drfrost.org/explorer.php?ssid=4277 | E320 | |
| 320a | Secondary | Construct the circumcentre and circumcircle of a triangle. | drfrost.org/explorer.php?ssid=5528 | ||
| 320b | Secondary | Construct the incentre and incircle of a triangle. | drfrost.org/explorer.php?ssid=5529 | ||
| 320c | Secondary | Construct a tangent to a circle at a point. | drfrost.org/explorer.php?ssid=5530 | ||
| 320d | Secondary | Construct the centroid of a triangle. | drfrost.org/explorer.php?ssid=5531 | ||
| 320e | Secondary | Construct the orthocentre of a triangle. | drfrost.org/explorer.php?ssid=5532 | ||
| 321 | Secondary | Exam Practice: Trigonometry to determine side lengths in a right-angled triangle | drfrost.org/explorer.php?ssid=147 | https://www.youtube-nocookie.com/embed/r6xuUjwyKek | E321 |
| 321a | Secondary | Label sides relative to a given angle in a right-angled triangle. | drfrost.org/explorer.php?ssid=729 | https://www.youtube-nocookie.com/embed/cHdxdEmgT4w | K482 |
| 321b | Secondary | Select a trigonometric ratio. | drfrost.org/explorer.php?ssid=1536 | https://www.youtube-nocookie.com/embed/O3XR8m9yJq0 | K732 |
| 321c | Secondary | Use \sin, \cos and \tan to determine an unknown shorter length in a right-angled triangle. | drfrost.org/explorer.php?ssid=591 | https://www.youtube-nocookie.com/embed/IowDUc54xV4 | K483 |
| 321d | Secondary | Use \sin, \cos and \tan to determine the hypotenuse or adjacent side in a right-angled triangle. | drfrost.org/explorer.php?ssid=730 | https://www.youtube-nocookie.com/embed/YkUWvbrF8FQ | K484 |
| 321e | Secondary | Use Pythagoras' theorem then trigonometry to determine an unknown side. | drfrost.org/explorer.php?ssid=1227 | https://www.youtube-nocookie.com/embed/3HazNgPcZYc | K485 |
| 321f | Secondary | Use trigonometry twice to determine side lengths on triangles with a shared side. | drfrost.org/explorer.php?ssid=8364 | https://www.youtube-nocookie.com/embed/k9mSAfmaRUI | |
| 321g | Secondary | Determine a length in a right-angled triangle by first using a ratio to determine the angles. | drfrost.org/explorer.php?ssid=1725 | https://www.youtube-nocookie.com/embed/xtdTazaW8u0 | |
| 321h | Secondary | Determine lengths involving angles of depression or elevation. | drfrost.org/explorer.php?ssid=1952 | https://www.youtube-nocookie.com/embed/DoXnxTyISqU | |
| 321i | Secondary | Use trigonometry to determine the perimeter or a length within an isosceles triangle. | drfrost.org/explorer.php?ssid=5533 | https://www.youtube-nocookie.com/embed/6WVDDLLuYi4 | |
| 321j | Secondary | Use trigonometry to determine the perimeter or a length within a trapezium. | drfrost.org/explorer.php?ssid=1953 | https://www.youtube-nocookie.com/embed/-M9WGhAv3Gk | |
| 321k | Secondary | Use trigonometry to determine the area of a right-angled triangle. | drfrost.org/explorer.php?ssid=1954 | https://www.youtube-nocookie.com/embed/4kdCyxzRN1I | |
| 321l | Secondary | Use trigonometry to determine the area of an isosceles triangle. | drfrost.org/explorer.php?ssid=1955 | https://www.youtube-nocookie.com/embed/tBFHiXhOdQA | |
| 321m | Secondary | Determine a length within one triangle inscribed inside another. | drfrost.org/explorer.php?ssid=1956 | https://www.youtube-nocookie.com/embed/YsNM2tAxC3Y | |
| 321n | Secondary | Determine a length of an isosceles triangle with an inscribed circle. | drfrost.org/explorer.php?ssid=1957 | ||
| 321o | Secondary | Determine the area of an isosceles triangle with an inscribed circle. | drfrost.org/explorer.php?ssid=2061 | https://www.youtube-nocookie.com/embed/cdshMwd73jw | |
| 321p | Secondary | Use trigonometry to determine the area of the kite created by two radii and two tangents of a circle. | drfrost.org/explorer.php?ssid=1958 | https://www.youtube-nocookie.com/embed/OKeI5Yvya8c | |
| 321q | Secondary | Determine the lengths of a right-angled triangle to calculate the perimeter of a compound shape. | drfrost.org/explorer.php?ssid=1960 | https://www.youtube-nocookie.com/embed/buWbnJhj5uc | |
| 321r | Secondary | Use trigonometry to determine a length in a bearings problem involving a right-angled triangle. | drfrost.org/explorer.php?ssid=8858 | ||
| 321s | Secondary | Use trigonometry to determine the area enclosed between two tangents and the arc of a circle. | drfrost.org/explorer.php?ssid=1959 | https://www.youtube-nocookie.com/embed/LrBUBmLzubI | |
| 322 | Secondary | Exam Practice: Trigonometry to determine angles in a right-angled triangle | drfrost.org/explorer.php?ssid=148 | https://www.youtube-nocookie.com/embed/5brkGmejvqU | E322 |
| 322a | Secondary | Use inverse trigonometric functions to solve \sin x = a using a calculator. | drfrost.org/explorer.php?ssid=1759 | https://www.youtube-nocookie.com/embed/aHBXJq5QCEM | |
| 322b | Secondary | Use trigonometry to determine unknown angles in a right-angled triangle. | drfrost.org/explorer.php?ssid=731 | https://www.youtube-nocookie.com/embed/tmw76U5EeTg | K486 |
| 322c | Secondary | Use Pythagoras' theorem then trigonometry to determine an unknown angle. | drfrost.org/explorer.php?ssid=1225 | https://www.youtube-nocookie.com/embed/FqBYdbcSoxw | K487 |
| 322d | Secondary | Understand and identify angles of elevation and depression (no trigonometry required). | drfrost.org/explorer.php?ssid=8834 | ||
| 322e | Secondary | Use trigonometry to determine angles of elevation and depression. | drfrost.org/explorer.php?ssid=1675 | https://www.youtube-nocookie.com/embed/mPSA9kvpTGY | |
| 322f | Secondary | Determine an angle when a ratio of sides is given. | drfrost.org/explorer.php?ssid=2142 | https://www.youtube-nocookie.com/embed/X1ruXb00z6c | |
| 322g | Secondary | Determine an angle in an isosceles triangle (no cosine rule/Law of Cosines). | drfrost.org/explorer.php?ssid=2145 | https://www.youtube-nocookie.com/embed/vUIujoIAkP8 | |
| 322h | Secondary | Use trigonometry to determine a length followed by an angle. | drfrost.org/explorer.php?ssid=2146 | https://www.youtube-nocookie.com/embed/e6noeMruB5Q | |
| 322i | Secondary | Determine an angle in a scalene triangle drawn on a unit grid, where a side length is aligned to the grid. | drfrost.org/explorer.php?ssid=2147 | https://www.youtube-nocookie.com/embed/Q99Un-qcux0 | |
| 322j | Secondary | Determine an angle in a scalene triangle drawn on a unit grid, where side lengths are not aligned to the grid. | drfrost.org/explorer.php?ssid=8290 | https://www.youtube-nocookie.com/embed/eM352eGkgJQ | |
| 322k | Secondary | Use trigonometry to determine an angle in inscribed triangles. | drfrost.org/explorer.php?ssid=2148 | https://www.youtube-nocookie.com/embed/xOFIkBgFksg | |
| 322l | Secondary | Determine an angle in a trapezium using Pythagoras' theorem or three of the lengths. | drfrost.org/explorer.php?ssid=2149 | ||
| 322m | Secondary | Determine an angle in a trapezium using its area and parallel sides. | drfrost.org/explorer.php?ssid=2150 | https://www.youtube-nocookie.com/embed/NIsEVP0j63U | |
| 322n | Secondary | Use trigonometry to determine an angle in a bearings problem involving a right-angled triangle. | drfrost.org/explorer.php?ssid=8444 | https://www.youtube-nocookie.com/embed/feqSlb2Utjg | |
| 322o | Secondary | Use trigonometry to determine an arc length given tangents and radii of a circle. | drfrost.org/explorer.php?ssid=2151 | https://www.youtube-nocookie.com/embed/7A8TYcJA440 | |
| 322p | Secondary | Calculate the gradient of a line given its angle of inclination or depression. | drfrost.org/explorer.php?ssid=8532 | https://www.youtube-nocookie.com/embed/AmlysMmNhMM | |
| 322q | Secondary | Calculate the angle of inclination given two points on a straight line. | drfrost.org/explorer.php?ssid=8533 | https://www.youtube-nocookie.com/embed/6I-afPeNsew | |
| 323 | Secondary | Exam Practice: Converting between units of area and volume | drfrost.org/explorer.php?ssid=154 | https://www.youtube-nocookie.com/embed/6xEMe5M9VJg | E323 |
| 323a | Secondary | Convert metric units of area by multiplying. | drfrost.org/explorer.php?ssid=1211 | https://www.youtube-nocookie.com/embed/FxRCoWfVt_E | K529 |
| 323b | Secondary | Convert metric units of area by dividing. | drfrost.org/explorer.php?ssid=1212 | https://www.youtube-nocookie.com/embed/Y4McxXelJvw | K530 |
| 323c | Secondary | Convert metric units of volume by multiplying. | drfrost.org/explorer.php?ssid=1213 | https://www.youtube-nocookie.com/embed/e2v1ZyfhmIE | K531 |
| 323d | Secondary | Convert metric units of volume by dividing. | drfrost.org/explorer.php?ssid=1214 | https://www.youtube-nocookie.com/embed/lizhx89P7Ug | K532 |
| 323e | Secondary | Convert from units of capacity to units of volume. | drfrost.org/explorer.php?ssid=1282 | K135 | |
| 323f | Secondary | Convert from units of volume to units of capacity. | drfrost.org/explorer.php?ssid=1283 | K134 | |
| 323g | Secondary | Write an algebraic expression for an area or volume resulting from a unit conversion. | drfrost.org/explorer.php?ssid=8905 | ||
| 324 | Secondary | Exam Practice: Relationship between scale factors of length, area and volume | drfrost.org/explorer.php?ssid=140 | https://www.youtube-nocookie.com/embed/ao0GmorAq3I | E324 |
| 324a | Secondary | Determine the scale factor of area for two similar shapes given the scale factor of length. | drfrost.org/explorer.php?ssid=8571 | ||
| 324b | Secondary | Determine the area of a shape, given the area of a similar shape and a length on each. | drfrost.org/explorer.php?ssid=824 | https://www.youtube-nocookie.com/embed/efHHb2-wUnI | K524 |
| 324c | Secondary | Determine an unknown length of a shape, given the area of two similar shapes and one of their side lengths. | drfrost.org/explorer.php?ssid=5534 | ||
| 324d | Secondary | Determine the scale factor of volume for two similar solids given the scale factor of length. | drfrost.org/explorer.php?ssid=8572 | ||
| 324e | Secondary | Determine the volume of a solid, given the volume of a similar solid and a length on each. | drfrost.org/explorer.php?ssid=826 | https://www.youtube-nocookie.com/embed/SoMC_burbac | K525 |
| 324f | Secondary | Determine an unknown length of a solid, given the volume of two similar solids and one of their side lengths. | drfrost.org/explorer.php?ssid=5535 | ||
| 324g | Secondary | Determine the area/volume of a solid, given the area/volume of a similar solid and a length on each. | drfrost.org/explorer.php?ssid=8573 | ||
| 324h | Secondary | Determine the surface area of a similar solid when the volumes are given. | drfrost.org/explorer.php?ssid=825 | https://www.youtube-nocookie.com/embed/bCvYK5ba4Ug | K526 |
| 324i | Secondary | Determine the volume of a similar solid when the surface areas are given. | drfrost.org/explorer.php?ssid=827 | https://www.youtube-nocookie.com/embed/u411Iper_bM | K527 |
| 324j | Secondary | Determine the length/surface area/volume for a similar solid when the scale factor is given in ratio form. | drfrost.org/explorer.php?ssid=828 | https://www.youtube-nocookie.com/embed/cYFDbET1njU | K528 |
| 324k | Secondary | Determine the ratio of the length/surface area/volume for two similar solids given a scale factor of another quantity. | drfrost.org/explorer.php?ssid=8575 | ||
| 324l | Secondary | Solve problems involving two similar solids when the scale factor for length/surface area/volume is given in percentage difference form. | drfrost.org/explorer.php?ssid=8574 | ||
| 324m | Secondary | Appreciate that scale factor of mass is the same as scale factor of volume where the material is the same. | drfrost.org/explorer.php?ssid=2237 | ||
| 324n | Secondary | Determine an actual area given an area on the map. | drfrost.org/explorer.php?ssid=1575 | K754 | |
| 324o | Secondary | Determine an area on a map given the actual area. | drfrost.org/explorer.php?ssid=1576 | K755 | |
| 324p | Secondary | Determine an area for inscribed triangles. | drfrost.org/explorer.php?ssid=2269 | ||
| 324q | Secondary | Form an equation relating areas in inscribed triangles. | drfrost.org/explorer.php?ssid=2281 | ||
| 324r | Secondary | Use the area of a shape to determine the increase in area to a similar shape that it is inscribed in. | drfrost.org/explorer.php?ssid=2287 | ||
| 324s | Secondary | Use the area of a shape to determine the increase in area from a similar shape inscribed in it. | drfrost.org/explorer.php?ssid=2307 | ||
| 324t | Secondary | Use the area of increase from an enlarged shape to determine the area of the original shape. | drfrost.org/explorer.php?ssid=2325 | ||
| 324u | Secondary | Solve problems involving similarity of a frustum and its original cone or pyramid. | drfrost.org/explorer.php?ssid=2326 | ||
| 325 | Secondary | Exam Practice: Speed calculations for a single journey | drfrost.org/explorer.php?ssid=155 | https://www.youtube-nocookie.com/embed/J_r_TopXCME | E325 |
| 325a | Secondary | Calculate the average speed given the distance and time. | drfrost.org/explorer.php?ssid=739 | https://www.youtube-nocookie.com/embed/hkF8L21LJrk | K512 |
| 325b | Secondary | Calculate the average speed when the time is given in hours and minutes. | drfrost.org/explorer.php?ssid=5536 | ||
| 325c | Secondary | Calculate the distance given the average speed and time. | drfrost.org/explorer.php?ssid=740 | https://www.youtube-nocookie.com/embed/3y5aSr1qRhg | K513 |
| 325d | Secondary | Calculate the time given the average speed and distance. | drfrost.org/explorer.php?ssid=741 | https://www.youtube-nocookie.com/embed/gCybJxJ4YKo | K514 |
| 325e | Secondary | Calculate the end time on a 12 or 24 hour clock using a calculation involving speed, distance and time. | drfrost.org/explorer.php?ssid=5539 | ||
| 325f | Secondary | Calculate a speed or distance using a timetable. | drfrost.org/explorer.php?ssid=5537 | ||
| 325g | Secondary | Solve problems involving speed with unit conversions | drfrost.org/explorer.php?ssid=1742 | ||
| 325h | Secondary | Calculate speed or time using the perimeter of a shape. | drfrost.org/explorer.php?ssid=5538 | ||
| 326 | Secondary | Exam Practice: Speed calculations for multiple journeys or a journey in stages | drfrost.org/explorer.php?ssid=4278 | E326 | |
| 326a | Secondary | Determine the speed, distance or time in the second part of a journey. | drfrost.org/explorer.php?ssid=5540 | https://www.youtube-nocookie.com/embed/ltnAwkmfxHk | |
| 326b | Secondary | Determine the average speed by combining two parts of a journey. | drfrost.org/explorer.php?ssid=1399 | https://www.youtube-nocookie.com/embed/dS_XfcLcPEs | K515 |
| 326c | Secondary | Use a speed, distance or time calculation from one journey to make a calculation about another journey. | drfrost.org/explorer.php?ssid=5541 | https://www.youtube-nocookie.com/embed/qNTo045WniE | |
| 327 | Secondary | Exam Practice: Constructing and reading distance-time graphs | drfrost.org/explorer.php?ssid=395 | E327 | |
| 327a | Secondary | State the distance from a point using a distance-time graph. | drfrost.org/explorer.php?ssid=2278 | ||
| 327b | Secondary | State the time of specific events on a distance-time graph. | drfrost.org/explorer.php?ssid=2161 | ||
| 327c | Secondary | State the duration of specific events on a distance-time graph. | drfrost.org/explorer.php?ssid=2162 | ||
| 327d | Secondary | Calculate a speed on a distance-time graph. | drfrost.org/explorer.php?ssid=1125 | K327 | |
| 327e | Secondary | Construct a distance-time graph from provided information. | drfrost.org/explorer.php?ssid=1124 | https://www.youtube-nocookie.com/embed/fEGH5satAEw | K326 |
| 327f | Secondary | Problem solve from a distance-time graph using speed-distance-time calculations. | drfrost.org/explorer.php?ssid=8906 | ||
| 328 | Secondary | Exam Practice: Density | drfrost.org/explorer.php?ssid=400 | https://www.youtube-nocookie.com/embed/XZM9k8j1dOc | E328 |
| 328a | Secondary | Calculate the density given the mass and the volume. | drfrost.org/explorer.php?ssid=1289 | https://www.youtube-nocookie.com/embed/H_o8tewYAjk | K517 |
| 328b | Secondary | Calculate the mass given the density and the volume. | drfrost.org/explorer.php?ssid=1290 | https://www.youtube-nocookie.com/embed/eAzRq-9fRTQ | K518 |
| 328c | Secondary | Calculate the volume given the density and the mass. | drfrost.org/explorer.php?ssid=1291 | https://www.youtube-nocookie.com/embed/f-ipLI__7DA | K519 |
| 328d | Secondary | Solve problems involving mass, density and volume of a cuboid or prism (excluding cylinders). | drfrost.org/explorer.php?ssid=5542 | ||
| 328e | Secondary | Solve problems involving mass, density and volume of a cylinder. | drfrost.org/explorer.php?ssid=5543 | ||
| 328f | Secondary | Solve problems using mass, density and volume, involving mixed units. | drfrost.org/explorer.php?ssid=5544 | ||
| 328g | Secondary | Solve problems involving two densities. | drfrost.org/explorer.php?ssid=1445 | K516 | |
| 329 | Secondary | Exam Practice: Pressure | drfrost.org/explorer.php?ssid=4279 | E329 | |
| 329a | Secondary | Calculate pressure, force or area where two of the values are provided. | drfrost.org/explorer.php?ssid=5545 | ||
| 329b | Secondary | Calculate pressure, force or area where two of the values are provided and have mixed units. | drfrost.org/explorer.php?ssid=8774 | ||
| 329c | Secondary | Solve problems involving pressure, force and area involving a surface or 3D shape. | drfrost.org/explorer.php?ssid=5546 | ||
| 329d | Secondary | Solve problems involving pressure, force and area involving a surface or 3D shape, involving mixed units. | drfrost.org/explorer.php?ssid=8775 | ||
| 330 | Secondary | Exam Practice: Other compound measures (excluding speed, pressure and density) | drfrost.org/explorer.php?ssid=4280 | E330 | |
| 330a | Secondary | Calculate general compound measures, such as rate of flow. | drfrost.org/explorer.php?ssid=5547 | ||
| 330b | Secondary | Determine the time to fill or empty a container given the rate of flow. | drfrost.org/explorer.php?ssid=1577 | K756 | |
| 330c | Secondary | Solve problems involving rate of flow in more complex solids. | drfrost.org/explorer.php?ssid=5548 | ||
| 331 | Secondary | Exam Practice: Convert between units for compound measures | drfrost.org/explorer.php?ssid=4281 | E331 | |
| 331a | Secondary | Convert between compound measures where only the first unit changes. | drfrost.org/explorer.php?ssid=5549 | ||
| 331b | Secondary | Convert between compound measures where only the second unit changes. | drfrost.org/explorer.php?ssid=5550 | ||
| 331c | Secondary | Convert between compound measures where both units change. | drfrost.org/explorer.php?ssid=5551 | ||
| 331d | Secondary | Convert between m/s and km/h. | drfrost.org/explorer.php?ssid=2090 | ||
| 331e | Secondary | Convert between N/cm^2 and N/m^2 | drfrost.org/explorer.php?ssid=5552 | ||
| 331f | Secondary | Convert between g/cm^3 and kg/m^3 | drfrost.org/explorer.php?ssid=5553 | ||
| 332 | Secondary | Exam Practice: Real-life linear graphs | drfrost.org/explorer.php?ssid=4282 | E332 | |
| 332a | Secondary | Determine the output of a linear model. | drfrost.org/explorer.php?ssid=8894 | ||
| 332b | Secondary | Determine the gradient of a straight line which is drawn in context. | drfrost.org/explorer.php?ssid=5554 | ||
| 332c | Secondary | Determine the y-intercept of a straight line which is drawn in context. | drfrost.org/explorer.php?ssid=5555 | ||
| 332d | Secondary | Interpret the gradient of a straight line which is drawn in context. | drfrost.org/explorer.php?ssid=5556 | ||
| 332e | Secondary | Interpret the y-intercept of a straight line which is drawn in context. | drfrost.org/explorer.php?ssid=5557 | ||
| 332f | Secondary | Determine the equation of a straight line which is drawn in context. | drfrost.org/explorer.php?ssid=5558 | ||
| 332g | Secondary | Interpret the gradient and y-intercept of a line of best fit. | drfrost.org/explorer.php?ssid=8307 | ||
| 332h | Secondary | Determine the equation of a line of best fit. | drfrost.org/explorer.php?ssid=8308 | ||
| 332i | Secondary | Make connections between the shape of a graph and the story of a phenomenon. | drfrost.org/explorer.php?ssid=5559 | ||
| 333 | Secondary | Exam Practice: Infinite number sets | drfrost.org/explorer.php?ssid=4283 | E333 | |
| 333a | Secondary | Determine whether a number is in \mathbb{N} and/or \mathbb{Z} | drfrost.org/explorer.php?ssid=5560 | ||
| 333b | Secondary | Determine if a number is rational or irrational. | drfrost.org/explorer.php?ssid=5561 | ||
| 333c | Secondary | Determine whether a number is in \mathbb{N}, \mathbb{Z}, \mathbb{R} and/or \mathbb{Q} | drfrost.org/explorer.php?ssid=5562 | ||
| 333d | Secondary | Represent an inequality on a number line, considering only a given infinite number set. | drfrost.org/explorer.php?ssid=5563 | ||
| 334 | Secondary | Exam Practice: Simplifying surds | drfrost.org/explorer.php?ssid=62 | https://www.youtube-nocookie.com/embed/LDH_VS1fwYE | E334 |
| 334a | Secondary | Simplify a surd. | drfrost.org/explorer.php?ssid=678 | https://www.youtube-nocookie.com/embed/_sOlar67n8Q | K673 |
| 334b | Secondary | Simplify a multiple of a surd. | drfrost.org/explorer.php?ssid=1327 | https://www.youtube-nocookie.com/embed/CM4ORTTyY5E | K674 |
| 334c | Secondary | Write a surd in the form \sqrt{a} | drfrost.org/explorer.php?ssid=1618 | https://www.youtube-nocookie.com/embed/PSvaPo56dDc | |
| 334d | Secondary | Simplify a surd of a fraction or mixed number. | drfrost.org/explorer.php?ssid=8919 | ||
| 335 | Secondary | Exam Practice: Multiplying and dividing surds | drfrost.org/explorer.php?ssid=366 | https://www.youtube-nocookie.com/embed/XiuLvyXyRxY | E335 |
| 335a | Secondary | Multiply two surds or a surd and a non-surd. | drfrost.org/explorer.php?ssid=681 | https://www.youtube-nocookie.com/embed/oje4wceCRrY | K675 |
| 335b | Secondary | Square a surd. | drfrost.org/explorer.php?ssid=5565 | ||
| 335c | Secondary | Multiply multiples of surds. | drfrost.org/explorer.php?ssid=1985 | https://www.youtube-nocookie.com/embed/B5OcuvQQsWY | |
| 335d | Secondary | Square a multiple of a surd. | drfrost.org/explorer.php?ssid=1986 | https://www.youtube-nocookie.com/embed/bW2BdKo9V_M | |
| 335e | Secondary | Multiply two surds that require simplifying. | drfrost.org/explorer.php?ssid=682 | https://www.youtube-nocookie.com/embed/xg2FjpqB8fg | K676 |
| 335f | Secondary | Divide two surds. | drfrost.org/explorer.php?ssid=683 | https://www.youtube-nocookie.com/embed/CfX7K9lBx7c | K677 |
| 335g | Secondary | Divide two surds that require simplifying. | drfrost.org/explorer.php?ssid=1733 | https://www.youtube-nocookie.com/embed/QVmWAGIpPhw | |
| 335h | Secondary | Multiply or divide surds with algebra. | drfrost.org/explorer.php?ssid=1619 | https://www.youtube-nocookie.com/embed/dcOwRSBNpDU | |
| 335i | Secondary | Generate a geometric sequence with a surd as common ratio. | drfrost.org/explorer.php?ssid=5566 | ||
| 336 | A Level, Secondary | Exam Practice: Adding and subtracting surds | drfrost.org/explorer.php?ssid=61 | https://www.youtube-nocookie.com/embed/O0Hm8oAgrPI | E336 |
| 336a | A Level, Secondary | Add or subtract surds with the same root. | drfrost.org/explorer.php?ssid=679 | https://www.youtube-nocookie.com/embed/zIPsPUHMsL4 | K678 |
| 336b | A Level, Secondary | Add or subtract surds that require simplifying. | drfrost.org/explorer.php?ssid=680 | https://www.youtube-nocookie.com/embed/vlqatolhDwc | K679 |
| 336c | A Level, Secondary | Reason about the sum, difference and product of a mixture of rational and irrational numbers. | drfrost.org/explorer.php?ssid=8863 | ||
| 337 | Secondary | Exam Practice: Expanding brackets with surds | drfrost.org/explorer.php?ssid=4284 | E337 | |
| 337a | Secondary | Expand a single bracket with surds. | drfrost.org/explorer.php?ssid=685 | https://www.youtube-nocookie.com/embed/3Q9HxC3TgAE | K680 |
| 337b | Secondary | Expand a single bracket with surds, where simplification of surds is required. | drfrost.org/explorer.php?ssid=1987 | https://www.youtube-nocookie.com/embed/JrWRh-MYsqY | |
| 337c | Secondary | Expand two brackets involving surds given in the form (a+\sqrt{b})(c+\sqrt{b}) | drfrost.org/explorer.php?ssid=867 | https://www.youtube-nocookie.com/embed/9SpdRhVL2TM | K681 |
| 337d | Secondary | Expand two brackets with surds, where simplification of surds is required. | drfrost.org/explorer.php?ssid=869 | https://www.youtube-nocookie.com/embed/eLPnx0ANuso | K682 |
| 337e | Secondary | Expand two brackets involving multiples of surds. | drfrost.org/explorer.php?ssid=870 | https://www.youtube-nocookie.com/embed/tR2bBd4D7OM | K683 |
| 337f | Secondary | Square a bracket involving surds. | drfrost.org/explorer.php?ssid=871 | https://www.youtube-nocookie.com/embed/FKdFK5Dtkqg | K684 |
| 337g | Secondary | Multiply three brackets involving surds. | drfrost.org/explorer.php?ssid=1990 | https://www.youtube-nocookie.com/embed/-LrZUmdQDWM | |
| 337h | Secondary | Compare coefficients of surds and non-surds to determine values of variables. | drfrost.org/explorer.php?ssid=1993 | https://www.youtube-nocookie.com/embed/VryGlnNEbIw | |
| 338 | Secondary | Exam Practice: Pythagoras' Theorem with surds | drfrost.org/explorer.php?ssid=4285 | E338 | |
| 338a | Secondary | Use Pythagoras' theorem giving the answer in simplified surd form. | drfrost.org/explorer.php?ssid=5567 | https://www.youtube-nocookie.com/embed/I8LvK0H9GhI | |
| 338b | Secondary | Use Pythagoras' theorem to find the distance between two points in simplified surd form. | drfrost.org/explorer.php?ssid=1673 | https://www.youtube-nocookie.com/embed/b1RnFfW42_w | |
| 338c | Secondary | Use Pythagoras' theorem with sides which are surd terms. | drfrost.org/explorer.php?ssid=5568 | https://www.youtube-nocookie.com/embed/WavoGftazx8 | |
| 338d | Secondary | Use Pythagoras' theorem with sides which are surd expressions. | drfrost.org/explorer.php?ssid=1999 | https://www.youtube-nocookie.com/embed/d0b93aLIbNw | |
| 338e | Secondary | Determine the perimeter of a composite shape in surd form, where a missing side is found by use of Pythagoras' theorem. | drfrost.org/explorer.php?ssid=5569 | https://www.youtube-nocookie.com/embed/-lsKZRH6Gdw | |
| 338f | Secondary | Determine the area of a composite shape in surd form, where a missing side is found by use of Pythagoras' theorem. | drfrost.org/explorer.php?ssid=5570 | https://www.youtube-nocookie.com/embed/MrJNSbD4W3s | |
| 339 | Secondary | Exam Practice: Solving linear inequalities in one variable | drfrost.org/explorer.php?ssid=85 | https://www.youtube-nocookie.com/embed/h20HXgEgUq0 | E339 |
| 339a | Secondary | Solve a linear inequality in one variable with one step. | drfrost.org/explorer.php?ssid=1605 | https://www.youtube-nocookie.com/embed/vAlrKVT3dYM | |
| 339b | Secondary | Solve a linear inequality in one variable with two steps. | drfrost.org/explorer.php?ssid=1122 | https://www.youtube-nocookie.com/embed/WT8sdeti_wI | K343 |
| 339c | Secondary | Solve a linear inequality in one variable involving simple fractions. | drfrost.org/explorer.php?ssid=5571 | ||
| 339d | Secondary | Solve a linear inequality in one variable involving brackets. | drfrost.org/explorer.php?ssid=8729 | ||
| 339e | Secondary | Solve a linear inequality in one variable involving brackets and fractions. | drfrost.org/explorer.php?ssid=8730 | ||
| 339f | Secondary | Solve a linear inequality in one variable where the coefficient of x is negative. | drfrost.org/explorer.php?ssid=1468 | K344 | |
| 339g | Secondary | Determine the greatest or least integer which satisfies a linear inequality in one variable. | drfrost.org/explorer.php?ssid=5572 | ||
| 339h | Secondary | Solve and represent the solution of a one-ended linear inequality in one variable on a number line. | drfrost.org/explorer.php?ssid=5573 | ||
| 339i | Secondary | Solve and represent the solution of a linear inequality in one variable, with solutions in a given infinite number set. | drfrost.org/explorer.php?ssid=5574 | ||
| 340 | Secondary | Exam Practice: Solving linear inequalities with one variable on both sides | drfrost.org/explorer.php?ssid=4286 | E340 | |
| 340a | Secondary | Solve a linear inequality with the unknown on both sides. | drfrost.org/explorer.php?ssid=1247 | https://www.youtube-nocookie.com/embed/UWl8oZvuF7g | K345 |
| 340b | Secondary | Solve a linear inequality with brackets and the unknown on both sides. | drfrost.org/explorer.php?ssid=1802 | ||
| 340c | Secondary | Solve a linear inequality involving a single fraction and the unknown on both sides. | drfrost.org/explorer.php?ssid=8830 | ||
| 340d | Secondary | Solve a linear inequality involving multiple fractions and the unknown on both sides. | drfrost.org/explorer.php?ssid=8831 | ||
| 341 | Secondary | Exam Practice: Solving two-ended linear inequalities | drfrost.org/explorer.php?ssid=4287 | E341 | |
| 341a | Secondary | Solve a two-ended linear inequality in one variable with a single step. | drfrost.org/explorer.php?ssid=1245 | https://www.youtube-nocookie.com/embed/WL8lKEb_WiY | K346 |
| 341b | Secondary | Solve a two-ended linear inequality in one variable with two steps. | drfrost.org/explorer.php?ssid=1246 | https://www.youtube-nocookie.com/embed/y_RVu9_ExLE | K347 |
| 341c | Secondary | Solve a two-ended linear inequality in one variable involving fractions. | drfrost.org/explorer.php?ssid=5575 | ||
| 341d | Secondary | Solve a two-ended linear inequality in one variable and list the integer values which satisfy it. | drfrost.org/explorer.php?ssid=5576 | ||
| 341e | Secondary | Solve a two-ended linear inequality in one variable which has a negative coefficient. | drfrost.org/explorer.php?ssid=5577 | ||
| 341f | Secondary | Solve and represent the solution of a two-ended linear inequality in one variable on a number line. | drfrost.org/explorer.php?ssid=5578 | ||
| 341g | Secondary | Combine two inequalities where one implies the other. | drfrost.org/explorer.php?ssid=8826 | ||
| 341h | Secondary | Combine two inequalities with an overlapping range. | drfrost.org/explorer.php?ssid=8827 | ||
| 341i | Secondary | Combine two more complex inequalities involving an 'or'/disjunction. | drfrost.org/explorer.php?ssid=8828 | ||
| 341j | Secondary | Solve a pair of linear inequalities in one variable and state the integer values that satisfy both. | drfrost.org/explorer.php?ssid=5579 | ||
| 341k | Secondary | Solve a more complex two-ended linear inequality where the variable appears in the outer expressions. | drfrost.org/explorer.php?ssid=8829 | ||
| 342 | Secondary | Exam Practice: Forming and solving linear inequalities from a given context | drfrost.org/explorer.php?ssid=4288 | E342 | |
| 342a | Secondary | Form and solve a one-ended linear inequality in one variable. | drfrost.org/explorer.php?ssid=5580 | ||
| 342b | Secondary | Consider possible solutions to a one-ended linear inequality from two variables, given information about one or both variables. | drfrost.org/explorer.php?ssid=5581 | ||
| 342c | Secondary | Form and solve a two-ended linear inequality in one variable. | drfrost.org/explorer.php?ssid=5582 | ||
| 343 | Secondary | Exam Practice: Inequalities for expressions given a restricted domain on the variables | drfrost.org/explorer.php?ssid=4289 | E343 | |
| 343a | Secondary | Determine the set of values satisfying a linear inequality of a variable, given a restricted domain. | drfrost.org/explorer.php?ssid=5583 | ||
| 343b | Secondary | Determine the set of values satisfying a linear inequality of a function of a variable, given a restricted domain. | drfrost.org/explorer.php?ssid=5584 | ||
| 343c | Secondary | Determine the set of values satisfying a linear inequality involving two unknowns and two restricted domains. | drfrost.org/explorer.php?ssid=5585 | ||
| 343d | Secondary | Determine the set of values satisfying a linear inequality involving a function of two unknowns and two restricted domains. | drfrost.org/explorer.php?ssid=5586 | ||
| 344 | Secondary | Exam Practice: Types of data | drfrost.org/explorer.php?ssid=4290 | E344 | |
| 344a | Secondary | Classify data as qualitative or quantitative. | drfrost.org/explorer.php?ssid=5587 | ||
| 344b | Secondary | Classify quantitative data as discrete or continuous. | drfrost.org/explorer.php?ssid=2214 | ||
| 344c | Secondary | Classify data as categorical, ordinal, bivariate or multivariate. | drfrost.org/explorer.php?ssid=5588 | ||
| 344d | Secondary | Classify data as primary or secondary. | drfrost.org/explorer.php?ssid=5589 | ||
| 344e | Secondary | Understand the advantages and disadvantages of using primary and secondary data. | drfrost.org/explorer.php?ssid=5590 | ||
| 345 | A Level, Secondary | Exam Practice: Populations and censuses versus sampling | drfrost.org/explorer.php?ssid=4291 | E345 | |
| 345a | A Level, Secondary | Understand the difference between a census and a sample. | drfrost.org/explorer.php?ssid=5591 | ||
| 345b | A Level, Secondary | Identify the population and sampling frame. | drfrost.org/explorer.php?ssid=5592 | ||
| 346 | Secondary | Exam Practice: Data collection methods (excluding experiments) | drfrost.org/explorer.php?ssid=333 | E346 | |
| 346a | Secondary | Identify a described data collection method. | drfrost.org/explorer.php?ssid=5593 | ||
| 346b | Secondary | Create or critique a data collection sheet. | drfrost.org/explorer.php?ssid=5594 | ||
| 346c | Secondary | Understand question types that are used in questionnaires and when they are appropriate. | drfrost.org/explorer.php?ssid=5595 | ||
| 346d | Secondary | Critique questionnaire questions. | drfrost.org/explorer.php?ssid=2215 | ||
| 346e | Secondary | Write a suitable questionnaire question. | drfrost.org/explorer.php?ssid=2216 | ||
| 346f | Secondary | Know the advantages and disadvantages of using interviews or anonymous questionnaires. | drfrost.org/explorer.php?ssid=5596 | ||
| 346g | Secondary | Understand the need for a pilot study or survey. | drfrost.org/explorer.php?ssid=5597 | ||
| 347 | Secondary | Exam Practice: Statistical experiments | drfrost.org/explorer.php?ssid=4292 | E347 | |
| 347a | Secondary | Identify the explanatory and response variable in an investigation. | drfrost.org/explorer.php?ssid=5598 | ||
| 347b | Secondary | Identify the type of experiment conducted from a description. | drfrost.org/explorer.php?ssid=5599 | ||
| 347c | Secondary | Understand the advantages and disadvantages of different types of experiment. | drfrost.org/explorer.php?ssid=5600 | ||
| 347d | Secondary | Understand the importance of identifying and controlling extraneous variables. | drfrost.org/explorer.php?ssid=5601 | ||
| 347e | Secondary | Use control groups and matched pairs. | drfrost.org/explorer.php?ssid=5602 | ||
| 347f | Secondary | Understand the importance of blind and double blind trials. | drfrost.org/explorer.php?ssid=5603 | ||
| 347g | Secondary | Use completely random and randomised block designs. | drfrost.org/explorer.php?ssid=8262 | ||
| 348 | A Level, Secondary | Exam Practice: Simple random sampling | drfrost.org/explorer.php?ssid=4293 | E348 | |
| 348a | A Level, Secondary | Define random and biased samples. | drfrost.org/explorer.php?ssid=5604 | ||
| 348b | A Level, Secondary | Describe how to take a random sample. | drfrost.org/explorer.php?ssid=5605 | ||
| 348c | A Level, Secondary | Complete a random sample of the sampling frame using a random number table or random number generator. | drfrost.org/explorer.php?ssid=5606 | ||
| 349 | Secondary | Exam Practice: Non-random sampling | drfrost.org/explorer.php?ssid=4294 | E349 | |
| 349a | Secondary | Identify a described non-random sampling method. | drfrost.org/explorer.php?ssid=5607 | ||
| 349b | Secondary | Understand the advantages and disadvantages of non-random sampling methods. | drfrost.org/explorer.php?ssid=5608 | ||
| 349c | Secondary | Discuss the suitability of a given sampling method. | drfrost.org/explorer.php?ssid=5609 | ||
| 350 | A Level, Secondary | Exam Practice: Stratified sampling | drfrost.org/explorer.php?ssid=334 | E350 | |
| 350a | A Level, Secondary | Take a stratified sample by one category. | drfrost.org/explorer.php?ssid=1137 | https://www.youtube-nocookie.com/embed/cxlNHItH5UI | K271 |
| 350b | A Level, Secondary | Take a stratified sample by more than one category. | drfrost.org/explorer.php?ssid=5610 | ||
| 350c | A Level, Secondary | Understand when taking a stratified sample is appropriate. | drfrost.org/explorer.php?ssid=5611 | ||
| 351 | Secondary | Exam Practice: Capture-Recapture | drfrost.org/explorer.php?ssid=4295 | E351 | |
| 351a | Secondary | Use the capture-recapture method to estimate the size of a population. | drfrost.org/explorer.php?ssid=1309 | https://www.youtube-nocookie.com/embed/BlanMLOCazQ | K272 |
| 351b | Secondary | Understand the assumptions made in the Petersen capture-recapture method. | drfrost.org/explorer.php?ssid=5612 | ||
| 352 | Secondary | Exam Practice: Planning a statistical enquiry | drfrost.org/explorer.php?ssid=4296 | E352 | |
| 352a | Secondary | Write a hypothesis for an investigation. | drfrost.org/explorer.php?ssid=5613 | ||
| 352b | Secondary | Describe the data needed to investigate a hypothesis. | drfrost.org/explorer.php?ssid=5614 | ||
| 352c | Secondary | Understand constraints on designing an investigation. | drfrost.org/explorer.php?ssid=5615 | ||
| 352d | Secondary | Understand the difference between raw and processed data. | drfrost.org/explorer.php?ssid=5616 | ||
| 352e | Secondary | Justify the size of data groups when grouping data. | drfrost.org/explorer.php?ssid=5617 | ||
| 352f | Secondary | Know how to deal with problems in the data including data cleaning. | drfrost.org/explorer.php?ssid=5618 | ||
| 352g | Secondary | Suggest suitable data summaries or representations to be used in an investigation. | drfrost.org/explorer.php?ssid=5619 | ||
| 352h | Secondary | Evaluate a plan for a statistical enquiry. | drfrost.org/explorer.php?ssid=5620 | ||
| 353 | A Level, Secondary | Exam Practice: Probability of independent and successive independent events (including tree diagrams) | drfrost.org/explorer.php?ssid=347 | https://www.youtube-nocookie.com/embed/yJva4ph-KEE | E353 |
| 353a | A Level, Secondary | Draw a tree diagram to represent successive independent events. | drfrost.org/explorer.php?ssid=861 | https://www.youtube-nocookie.com/embed/aqZwLt7iUBY | K562 |
| 353b | A Level, Secondary | Deal with a single chain of outcomes involving successive independent events, using a tree diagram. | drfrost.org/explorer.php?ssid=863 | https://www.youtube-nocookie.com/embed/KIDSG4W6IFI | K563 |
| 353c | A Level, Secondary | Deal with a single chain of outcomes involving successive independent events, without using a tree diagram. | drfrost.org/explorer.php?ssid=5621 | ||
| 353d | A Level, Secondary | Deal with multiple different chains of outcomes involving successive independent events, using a tree diagram. | drfrost.org/explorer.php?ssid=864 | https://www.youtube-nocookie.com/embed/MT2nJf01-YM | K564 |
| 353e | A Level, Secondary | Deal with multiple different chains of outcomes involving successive independent events, without using a tree diagram. | drfrost.org/explorer.php?ssid=5622 | ||
| 353f | A Level, Secondary | Determine the probability of achieving a given sum from multiple values, with item replacement. | drfrost.org/explorer.php?ssid=5623 | ||
| 353g | A Level, Secondary | Determine the probability of a first success occurring after a certain number of trials. | drfrost.org/explorer.php?ssid=5624 | ||
| 353h | A Level, Secondary | Determine the probability of a chain of outcomes given the probability of another chain of outcomes. | drfrost.org/explorer.php?ssid=5625 | ||
| 353i | A Level, Secondary | Determine the probability of at least one occurrence of an event given a larger number of trials. | drfrost.org/explorer.php?ssid=5626 | ||
| 353j | A Level, Secondary | Determine the probability of succeeding within a fixed number of trials. | drfrost.org/explorer.php?ssid=5627 | ||
| 353k | A Level, Secondary | Determine the probability of reaching a point via a random route on a grid. | drfrost.org/explorer.php?ssid=5628 | ||
| 353l | A Level, Secondary | Determine the probability of an outcome in a probability tree given the combined probability. | drfrost.org/explorer.php?ssid=8588 | ||
| 354 | A Level, Secondary | Exam Practice: Successive dependent events, i.e. sampling without replacement (including tree diagrams) | drfrost.org/explorer.php?ssid=349 | https://www.youtube-nocookie.com/embed/UMKClPTcOzo | E354 |
| 354a | A Level, Secondary | Draw a tree diagram to represent successive dependent events. | drfrost.org/explorer.php?ssid=862 | https://www.youtube-nocookie.com/embed/D50XkefUMFs | K565 |
| 354b | A Level, Secondary | Deal with a single chain of outcomes involving successive dependent events. | drfrost.org/explorer.php?ssid=865 | https://www.youtube-nocookie.com/embed/u8lbulZL7Ls | K566 |
| 354c | A Level, Secondary | Deal with multiple different chains of outcomes involving successive dependent events. | drfrost.org/explorer.php?ssid=866 | https://www.youtube-nocookie.com/embed/0tr0NuPj39E | K567 |
| 354d | A Level, Secondary | Deal with three or more chains of outcomes involving successive dependent events. | drfrost.org/explorer.php?ssid=5629 | ||
| 354e | A Level, Secondary | Determine the probability of achieving a given sum or product from multiple values, without item replacement. | drfrost.org/explorer.php?ssid=5630 | ||
| 354f | A Level, Secondary | Determine the probability of successive events by grouping outcomes (e.g. into odd and even). | drfrost.org/explorer.php?ssid=1687 | https://www.youtube-nocookie.com/embed/quUtSdw-em8 | |
| 355 | A Level, Secondary | Exam Practice: Probabilities from Venn diagrams (no set notation) | drfrost.org/explorer.php?ssid=303 | E355 | |
| 355a | A Level, Secondary | Determine missing probabilities in a Venn diagram. | drfrost.org/explorer.php?ssid=8445 | ||
| 355b | A Level, Secondary | Calculate probabilities of mutually exclusive events from given probabilities. | drfrost.org/explorer.php?ssid=1233 | K845 | |
| 355c | A Level, Secondary | Calculate probabilities of a single region using a Venn diagram with two non-mutually exclusive sets. | drfrost.org/explorer.php?ssid=1538 | K734 | |
| 355d | A Level, Secondary | Calculate probabilities of multiple regions using a Venn diagram with two non-mutually exclusive sets. | drfrost.org/explorer.php?ssid=8446 | ||
| 355e | A Level, Secondary | Calculate probabilities using a Venn diagram with three non-mutually exclusive sets. | drfrost.org/explorer.php?ssid=1539 | K735 | |
| 355f | A Level, Secondary | Calculate probabilities by drawing a Venn diagram with two non-mutually exclusive sets. | drfrost.org/explorer.php?ssid=1342 | https://www.youtube-nocookie.com/embed/-88kdSHqXQU | K568 |
| 355g | A Level, Secondary | Calculate probabilities by drawing a Venn diagram with three non-mutually exclusive sets. | drfrost.org/explorer.php?ssid=1344 | K569 | |
| 355h | A Level, Secondary | Determine a probability where the selection is made from a subgroup of a Venn diagram. | drfrost.org/explorer.php?ssid=5631 | ||
| 355i | A Level, Secondary | Calculate an unknown variable in algebraic frequencies, given a probability when a selection is made from a subgroup of the Venn diagram. | drfrost.org/explorer.php?ssid=8868 | ||
| 355j | A Level, Secondary | Determine whether two events are independent using a Venn diagram. | drfrost.org/explorer.php?ssid=8447 | ||
| 356 | A Level, Secondary | Exam Practice: Probabilities from Venn diagrams using set notation | drfrost.org/explorer.php?ssid=4297 | E356 | |
| 356a | A Level, Secondary | Use set notation to calculate probabilities of mutually exclusive events from a Venn diagram filled with frequencies. | drfrost.org/explorer.php?ssid=5632 | ||
| 356b | A Level, Secondary | Use set notation to calculate probabilities of non-mutually exclusive events from a Venn diagram filled with frequencies. | drfrost.org/explorer.php?ssid=1134 | https://www.youtube-nocookie.com/embed/7zaJTqVeDO4 | K468 |
| 356c | A Level, Secondary | Use set notation to calculate probabilities of non-mutually exclusive events from a Venn diagram filled with elements. | drfrost.org/explorer.php?ssid=1632 | ||
| 356d | A Level, Secondary | Calculate a probability involving set notation by constructing a Venn diagram. | drfrost.org/explorer.php?ssid=8448 | ||
| 357 | A Level, Secondary | Exam Practice: Conditional probability (no set notation) | drfrost.org/explorer.php?ssid=304 | E357 | |
| 357a | A Level, Secondary | Determine a conditional probability from a two-way table. | drfrost.org/explorer.php?ssid=5633 | ||
| 357b | A Level, Secondary | Determine a conditional probability from a frequency tree. | drfrost.org/explorer.php?ssid=5634 | ||
| 357c | A Level, Secondary | Determine a conditional probability from a probability tree. | drfrost.org/explorer.php?ssid=5635 | ||
| 357d | A Level, Secondary | Determine a conditional probability from a Venn diagram filled with frequencies. | drfrost.org/explorer.php?ssid=5636 | ||
| 357e | A Level, Secondary | Determine a conditional probability from a Venn diagram filled with elements. | drfrost.org/explorer.php?ssid=5637 | ||
| 358 | A Level, Secondary | Exam Practice: Expressing a power using a different base | drfrost.org/explorer.php?ssid=59 | https://www.youtube-nocookie.com/embed/84dobFhaHJc | E358 |
| 358a | A Level, Secondary | Express a power using a different base. | drfrost.org/explorer.php?ssid=1726 | ||
| 358b | A Level, Secondary | Use change of base to form a linear formula. | drfrost.org/explorer.php?ssid=1188 | https://www.youtube-nocookie.com/embed/oENEM7aB_FE | K767 |
| 358c | A Level, Secondary | Use index laws and change of base to write as a single index. | drfrost.org/explorer.php?ssid=1522 | K721 | |
| 358d | A Level, Secondary | Solve equations by transforming to the same base, leading to a linear equation. | drfrost.org/explorer.php?ssid=1511 | K713 | |
| 358e | A Level, Secondary | Change the subject of the formula by transforming to the same base. | drfrost.org/explorer.php?ssid=5638 | ||
| 359 | Secondary | Exam Practice: Calculating values after compound percentage changes | drfrost.org/explorer.php?ssid=54 | https://www.youtube-nocookie.com/embed/ldGnUUnEnAA | E359 |
| 359a | Secondary | Understand the difference between simple and compound interest. | drfrost.org/explorer.php?ssid=5639 | ||
| 359b | Secondary | Calculate a value after a compound percentage increase. | drfrost.org/explorer.php?ssid=884 | https://www.youtube-nocookie.com/embed/tIlKzp8LwdQ | K427 |
| 359c | Secondary | Calculate a value after a compound percentage decrease. | drfrost.org/explorer.php?ssid=885 | https://www.youtube-nocookie.com/embed/mY5ND_KZviY | K428 |
| 359d | Secondary | Calculate a value after several compound percentage changes. | drfrost.org/explorer.php?ssid=1773 | ||
| 359e | Secondary | Determine a percentage change after one period to subsequently determine further compound changes. | drfrost.org/explorer.php?ssid=8821 | ||
| 359f | Secondary | Compare the performance of different bank accounts. | drfrost.org/explorer.php?ssid=5641 | ||
| 359g | Secondary | Calculate the overall percentage change equivalent to a multiple compound percentage changes. | drfrost.org/explorer.php?ssid=5642 | ||
| 359h | Secondary | Calculate the annual simple interest rate equivalent to a compound change. | drfrost.org/explorer.php?ssid=8805 | ||
| 359i | Secondary | Calculate a percentage change within a compound change consisting of different percentages. | drfrost.org/explorer.php?ssid=5643 | ||
| 360 | Secondary | Exam Practice: Financial maths (excluding compound interest) | drfrost.org/explorer.php?ssid=4298 | E360 | |
| 360a | Secondary | Complete a bank statement. | drfrost.org/explorer.php?ssid=1537 | K733 | |
| 360b | Secondary | Complete information in a utility or phone bill. | drfrost.org/explorer.php?ssid=8914 | ||
| 360c | Secondary | Solve problems involving wages and a salaries, including commission. | drfrost.org/explorer.php?ssid=5644 | ||
| 360d | Secondary | Solve problems involving budgeting. | drfrost.org/explorer.php?ssid=5645 | ||
| 360e | Secondary | Calculate profit margin and mark up. | drfrost.org/explorer.php?ssid=5646 | ||
| 360f | Secondary | Solve problems with an upfront fee and regular payments thereafter. | drfrost.org/explorer.php?ssid=5648 | ||
| 360g | Secondary | Solve problems involving VAT. | drfrost.org/explorer.php?ssid=5647 | ||
| 360h | Secondary | Complete calculation of income tax or other taxes with different tax bands. | drfrost.org/explorer.php?ssid=5649 | ||
| 360i | Secondary | Complete calculation of National Insurance payments. | drfrost.org/explorer.php?ssid=8507 | ||
| 360j | Secondary | Calculate net pay after tax and other deductions. | drfrost.org/explorer.php?ssid=5650 | ||
| 360k | Secondary | Complete calculations involving student loans interest and repayments. | drfrost.org/explorer.php?ssid=5652 | ||
| 360l | Secondary | Complete calculations involving mortgages. | drfrost.org/explorer.php?ssid=5653 | ||
| 360m | Secondary | Interpret a demand curve showing the relationship between price and demand. | drfrost.org/explorer.php?ssid=5654 | ||
| 361 | Secondary | Exam Practice: Compound percentage problems with unknown period or step percentage change | drfrost.org/explorer.php?ssid=510 | https://www.youtube-nocookie.com/embed/ldGnUUnEnAA | E361 |
| 361a | Secondary | Determine time before a value reaches a given value given some known compound percentage change. | drfrost.org/explorer.php?ssid=887 | https://www.youtube-nocookie.com/embed/4dicXO70m5Y | K429 |
| 361b | Secondary | Determine the time before a value reaches some multiple of the original, given some known compound percentage change. | drfrost.org/explorer.php?ssid=886 | https://www.youtube-nocookie.com/embed/kYXvKSB7_5s | K430 |
| 361c | Secondary | Determine the value before a compound percentage change. | drfrost.org/explorer.php?ssid=1648 | ||
| 361d | Secondary | Determine the value of the percentage during a compound percentage change. | drfrost.org/explorer.php?ssid=1649 | ||
| 361e | Secondary | Determine a percentage change from a compound change to subsequently determine further compound changes. | drfrost.org/explorer.php?ssid=5640 | ||
| 361f | Secondary | Determine each percentage change given a compound change and the start and end amounts. | drfrost.org/explorer.php?ssid=1449 | K431 | |
| 362 | Secondary | Exam Practice: Factorising quadratic expressions given in the form x^2 + bx + c | drfrost.org/explorer.php?ssid=72 | https://www.youtube-nocookie.com/embed/5p79yczPWQc | E362 |
| 362a | Secondary | Factorise quadratic expressions given in the form x^2 +bx + c | drfrost.org/explorer.php?ssid=684 | https://www.youtube-nocookie.com/embed/fg0PPJotzHQ | K381 |
| 362b | Secondary | Factorise quadratic expressions given in the form x^2 - bx + c | drfrost.org/explorer.php?ssid=687 | https://www.youtube-nocookie.com/embed/OGrItAAPQm8 | K382 |
| 362c | Secondary | Factorise quadratic expressions given in the form x^2 +bx - c | drfrost.org/explorer.php?ssid=688 | https://www.youtube-nocookie.com/embed/vec6IQY1wz8 | K383 |
| 362d | Secondary | Factorise quadratic expressions given in the form x^2 - bx - c | drfrost.org/explorer.php?ssid=690 | https://www.youtube-nocookie.com/embed/7EGsomxRCkg | K384 |
| 362e | Secondary | Prove that two expressions are equivalent (involving quadratic factorisation). | drfrost.org/explorer.php?ssid=5655 | https://www.youtube-nocookie.com/embed/bXILY-5TcSg | |
| 363 | Secondary | Exam Practice: Factorising the difference of two squares | drfrost.org/explorer.php?ssid=74 | https://www.youtube-nocookie.com/embed/S3JXkf5X97Y | E363 |
| 363a | Secondary | Factorise the difference of two squares given in the form x^2 - a^2 or a^2 - x^2 | drfrost.org/explorer.php?ssid=691 | https://www.youtube-nocookie.com/embed/i9h1g8_TEEw | K385 |
| 363b | Secondary | Factorise the difference of two squares given in the form kx^2-a^2, where k is a square number. | drfrost.org/explorer.php?ssid=1059 | https://www.youtube-nocookie.com/embed/sJSKQHR8j28 | K764 |
| 363c | Secondary | Factorise the difference of two squares given in the form ax^2-by^2, where a and b are square numbers. | drfrost.org/explorer.php?ssid=2195 | https://www.youtube-nocookie.com/embed/lcaA_luzIsc | |
| 363d | Secondary | Factorise the difference of two squares given in the form ax^2-by^2, where a and b have a common numeric factor. | drfrost.org/explorer.php?ssid=1428 | https://www.youtube-nocookie.com/embed/IbfD9GGxYOo | K386 |
| 363e | Secondary | Factorise the difference of two squares given in the form axy^2-bxz^2, where a and b may have a common numeric factor. | drfrost.org/explorer.php?ssid=8291 | https://www.youtube-nocookie.com/embed/OOBRpyr3vIY | |
| 363f | Secondary | Factorise the difference of two squares given in the form ay^n x^2-by^n z^2, where a and b may have a common numeric factor. | drfrost.org/explorer.php?ssid=8292 | https://www.youtube-nocookie.com/embed/PTEfCJQful8 | |
| 363g | Secondary | Factorise the difference of two squares to evaluate a numerical calculation. | drfrost.org/explorer.php?ssid=1713 | https://www.youtube-nocookie.com/embed/P4Xv-swy3uA | |
| 364 | Secondary | Exam Practice: Factorising a quadratic where the coefficient of the x^2 term is not 1 | drfrost.org/explorer.php?ssid=73 | https://www.youtube-nocookie.com/embed/cbbEFYpeWV8 | E364 |
| 364a | Secondary | Factorise quadratic expressions given in the form ax^2 +bx+c with a>1 | drfrost.org/explorer.php?ssid=738 | https://www.youtube-nocookie.com/embed/wgnk9n6Xl_8 | K387 |
| 364b | Secondary | Factorise quadratic expressions given in the form ax^2-bx+c with a>1 | drfrost.org/explorer.php?ssid=1637 | https://www.youtube-nocookie.com/embed/wu1gz7XVcM0 | |
| 364c | Secondary | Factorise quadratic expressions given in the form ax^2 + bx - c with a>1 | drfrost.org/explorer.php?ssid=2197 | https://www.youtube-nocookie.com/embed/2-AREKLMq1s | |
| 364d | Secondary | Factorise quadratic expressions given in the form ax^2 -bx - c with a>1 | drfrost.org/explorer.php?ssid=1638 | https://www.youtube-nocookie.com/embed/b_4w8EesCoA | |
| 364e | Secondary | Factorise quadratic expressions given in the form ax^2 \pm bx \pm c where a>1 and a, b and c share a common factor. | drfrost.org/explorer.php?ssid=2334 | https://www.youtube-nocookie.com/embed/mEndykhxqOw | |
| 364f | Secondary | Factorise quadratic expressions requiring rearrangement to the form ax^2 \pm bx \pm c with a>1 | drfrost.org/explorer.php?ssid=2374 | https://www.youtube-nocookie.com/embed/Mq2pCOlGoYQ | |
| 364g | Secondary | Factorise quadratic expressions given in the form -x^2 \pm bx \pm c | drfrost.org/explorer.php?ssid=8295 | https://www.youtube-nocookie.com/embed/hUxL_qrp4Pg | |
| 364h | Secondary | Factorise quadratic expressions given in the form ax^2 \pm bx \pm c with a< -1 | drfrost.org/explorer.php?ssid=8296 | https://www.youtube-nocookie.com/embed/o7a-yVuQUQk | |
| 365 | Secondary | Exam Practice: Factorising more difficult expressions by combining factorisation techniques or substitution of a variable | drfrost.org/explorer.php?ssid=75 | E365 | |
| 365a | Secondary | Factorise an expression with a common bracket, without powers. | drfrost.org/explorer.php?ssid=8738 | https://www.youtube-nocookie.com/embed/FoxwJlmGIng | |
| 365b | Secondary | Factorise an expression with a common bracket and further brackets, without powers. | drfrost.org/explorer.php?ssid=8739 | https://www.youtube-nocookie.com/embed/sJSKQHR8j28 | |
| 365c | Secondary | Factorise an expression with a common bracket where one is squared. | drfrost.org/explorer.php?ssid=1704 | https://www.youtube-nocookie.com/embed/OygvEisfBOs | |
| 365d | Secondary | Factorise an expression with a common bracket with more general powers. | drfrost.org/explorer.php?ssid=8740 | https://www.youtube-nocookie.com/embed/NG2j7Hx4LNg | |
| 365e | Secondary | Factorise expressions including some factorised and expanded parts by finding a common bracketed factor. | drfrost.org/explorer.php?ssid=5656 | https://www.youtube-nocookie.com/embed/83UmuZhhO1g | |
| 365f | Secondary | Factorise an expression in multiple variables without powers by grouping into pairs of terms. | drfrost.org/explorer.php?ssid=1628 | https://www.youtube-nocookie.com/embed/oSDtUyMVxtY | |
| 365g | Secondary | Factorise an expression in multiple variables with powers by grouping into pairs of terms. | drfrost.org/explorer.php?ssid=8741 | https://www.youtube-nocookie.com/embed/pOIDDh1V4yM | |
| 365h | Secondary | Factorise quadratic expressions given in the form ax^2 \pm bxy \pm cy^2 | drfrost.org/explorer.php?ssid=2068 | https://www.youtube-nocookie.com/embed/yY2zoZWc1f8 | |
| 365i | Secondary | Factorise a cubic expression by first taking out a common factor. | drfrost.org/explorer.php?ssid=8742 | https://www.youtube-nocookie.com/embed/l9WvKdEwmbY | |
| 365j | Secondary | Factorise a cubic expression by grouping into pairs of terms. | drfrost.org/explorer.php?ssid=5658 | https://www.youtube-nocookie.com/embed/xesvATjROIw | |
| 365k | Secondary | Factorise a cubic expression by equating coefficients when given one factor. | drfrost.org/explorer.php?ssid=8297 | ||
| 365l | Secondary | Factorise a quartic expression using the difference of two squares. | drfrost.org/explorer.php?ssid=5659 | https://www.youtube-nocookie.com/embed/XPW8lURoEfw | |
| 365m | Secondary | Factorise and simplify a difference of two squared binomials in the same variable. | drfrost.org/explorer.php?ssid=5657 | https://www.youtube-nocookie.com/embed/bTn6suwtZHw | |
| 365n | Secondary | Factorise and simplify a difference of two squared binomials with multiple variables. | drfrost.org/explorer.php?ssid=8743 | https://www.youtube-nocookie.com/embed/uyIGY3809rM | |
| 365o | Secondary | Factorise an expression using the substitution of a linear expression to reduce to a standard quadratic form. | drfrost.org/explorer.php?ssid=1521 | https://www.youtube-nocookie.com/embed/4zHQHsJjxic | K720 |
| 365p | Secondary | Factorise an expression using the substitution of a variable or expression with a power to reduce to quadratic form. | drfrost.org/explorer.php?ssid=5660 | https://www.youtube-nocookie.com/embed/fEcVGaJXwQU | |
| 365q | Secondary | Factorise expressions where the number of terms in an unfactorised group is more than two. | drfrost.org/explorer.php?ssid=8744 | ||
| 366 | Secondary | Exam Practice: Plotting quadratic graphs from a table of values | drfrost.org/explorer.php?ssid=96 | https://www.youtube-nocookie.com/embed/ciRxmAHvYH0 | E366 |
| 366a | Secondary | Determine whether a point lies on a curve given a quadratic equation. | drfrost.org/explorer.php?ssid=8324 | ||
| 366b | Secondary | Complete a table of values for a quadratic graph with x^2 coefficient of 1. | drfrost.org/explorer.php?ssid=1034 | https://www.youtube-nocookie.com/embed/hS4VxPH9unE | K414 |
| 366c | Secondary | Complete a table of values for a quadratic graph with positive integer coefficient of x^2 | drfrost.org/explorer.php?ssid=5661 | ||
| 366d | Secondary | Complete a table of values for a quadratic graph with negative integer coefficient of x^2 | drfrost.org/explorer.php?ssid=5662 | ||
| 366e | Secondary | Complete a table of values for a quadratic graph with fractional coefficient of x^2 | drfrost.org/explorer.php?ssid=5663 | ||
| 366f | Secondary | Plot a quadratic graph using a completed table of values. | drfrost.org/explorer.php?ssid=5664 | ||
| 366g | Secondary | Complete a table of values and plot the corresponding quadratic graph. | drfrost.org/explorer.php?ssid=1035 | https://www.youtube-nocookie.com/embed/GfUwv6wPkMY | K415 |
| 367 | Secondary | Exam Practice: Solving quadratic equations by factorisation | drfrost.org/explorer.php?ssid=16 | https://www.youtube-nocookie.com/embed/Idk4R_baULA | E367 |
| 367a | Secondary | Solve quadratic equations given in the form (ax+b)(cx+d) = 0 | drfrost.org/explorer.php?ssid=1642 | https://www.youtube-nocookie.com/embed/p5uFjZb-ep8 | |
| 367b | Secondary | Solve quadratic equations given in the form x^2 \pm bx \pm c = 0, solvable by factorisation. | drfrost.org/explorer.php?ssid=769 | https://www.youtube-nocookie.com/embed/B735l744Lxc | K615 |
| 367c | Secondary | Solve quadratic equations requiring rearrangement to the form x^2 \pm bx \pm c = 0 by factorising. | drfrost.org/explorer.php?ssid=771 | https://www.youtube-nocookie.com/embed/EM1aWR7Sbsc | K616 |
| 367d | Secondary | Solve quadratic equations given in the form ax^2 \pm bx \pm c = 0, requiring factorising. | drfrost.org/explorer.php?ssid=868 | https://www.youtube-nocookie.com/embed/ZxMikp8SLd4 | K617 |
| 367e | Secondary | Solve quadratic equations requiring rearrangement to the form ax^2 \pm bx \pm c = 0 by factorising. | drfrost.org/explorer.php?ssid=774 | https://www.youtube-nocookie.com/embed/S307YyWBvRg | K618 |
| 367f | Secondary | Solve a quadratic equation of the form x^2-a^2=0 or x^2=a^2 by factorisation. | drfrost.org/explorer.php?ssid=8317 | https://www.youtube-nocookie.com/embed/qf88yVN8mVM | |
| 367g | Secondary | Solve a quadratic equation of the form ax^2-b^2=0 or ax^2=b^2 by factorisation. | drfrost.org/explorer.php?ssid=8849 | https://www.youtube-nocookie.com/embed/EO_9hqAZJ78 | |
| 367h | Secondary | Determine the original quadratic equation given its integer solutions. | drfrost.org/explorer.php?ssid=5665 | https://www.youtube-nocookie.com/embed/qrYR1XNsdgw | |
| 367i | Secondary | Determine the original quadratic equation given its non-integer solutions. | drfrost.org/explorer.php?ssid=5666 | https://www.youtube-nocookie.com/embed/x3xDY4q7OCY | |
| 368 | Secondary | Exam Practice: Quadratic graphs and their features | drfrost.org/explorer.php?ssid=105 | https://www.youtube-nocookie.com/embed/6KgAsvNSc4E | E368 |
| 368a | Secondary | Determine the y-intercept of a quadratic graph with equation given in the form y=x^2+bx+c | drfrost.org/explorer.php?ssid=1140 | https://www.youtube-nocookie.com/embed/4bZmvY_fKt0 | K421 |
| 368b | Secondary | Determine the x-intercepts of a quadratic graph with equation given in the form y=x^2+bx+c | drfrost.org/explorer.php?ssid=1141 | https://www.youtube-nocookie.com/embed/7eDzoUVGGHE | K422 |
| 368c | Secondary | Determine the y-intercept of a quadratic graph with equation given in the form y=(x+a)(x+b) | drfrost.org/explorer.php?ssid=5667 | https://www.youtube-nocookie.com/embed/3JElOe5WsfY | |
| 368d | Secondary | Determine the x-intercepts of a quadratic graph with equation given in the form y=(x+a)(x+b) | drfrost.org/explorer.php?ssid=5668 | https://www.youtube-nocookie.com/embed/ImT0A4LJsGU | |
| 368e | Secondary | Determine the x- and y-intercepts of a quadratic graph with equation given in the form y=ax^2+bx+c | drfrost.org/explorer.php?ssid=1142 | https://www.youtube-nocookie.com/embed/IDD6UKkQvhY | K423 |
| 368f | Secondary | Determine the x- and y-intercepts of a quadratic graph with equation given in the form y=(ax+b)(cx+d) | drfrost.org/explorer.php?ssid=5669 | https://www.youtube-nocookie.com/embed/Yzo4Ma6hUHM | |
| 368g | Secondary | Sketch a quadratic graph given in the form y=(x+a)(x+b), including its intercepts only. | drfrost.org/explorer.php?ssid=1772 | https://www.youtube-nocookie.com/embed/EeZNkbU0Sao | |
| 368h | Secondary | Sketch a quadratic graph given in the form y=(ax+b)(cx+d), including its intercepts only. | drfrost.org/explorer.php?ssid=5670 | https://www.youtube-nocookie.com/embed/QbN_GOlW2tY | |
| 368i | Secondary | Sketch a quadratic graph in the form y=x^2+bx+c, including its intercepts only. | drfrost.org/explorer.php?ssid=1770 | https://www.youtube-nocookie.com/embed/d-JEpdYrGaA | |
| 368j | Secondary | Sketch a quadratic graph of the form y=ax^2+bx+c, including its intercepts only. | drfrost.org/explorer.php?ssid=5671 | https://www.youtube-nocookie.com/embed/s0YpMmXiqL8 | |
| 368k | Secondary | Sketch a quadratic graph of the form y=-x^2+bx+c, including its intercepts only. | drfrost.org/explorer.php?ssid=5672 | https://www.youtube-nocookie.com/embed/jsy31mTdi1g | |
| 368l | Secondary | Sketch a quadratic graph of the form y=-ax^2+bx+c, including its intercepts only. | drfrost.org/explorer.php?ssid=5673 | https://www.youtube-nocookie.com/embed/PkuDPYl86g0 | |
| 368m | Secondary | Identify a sketch of a quadratic graph of the form y = x^2 + a or y = a - x^2, including intercepts only. | drfrost.org/explorer.php?ssid=5674 | https://www.youtube-nocookie.com/embed/Q0EOq_vAZXY | |
| 368n | Secondary | Identify a sketch of a quadratic graph given its equation. | drfrost.org/explorer.php?ssid=5675 | https://www.youtube-nocookie.com/embed/dyueQ34UiyY | |
| 368o | Secondary | Determine the equation of the line of symmetry of a sketched quadratic graph. | drfrost.org/explorer.php?ssid=8835 | https://www.youtube-nocookie.com/embed/l0ip94jMzss | |
| 368p | Secondary | Determine the line of symmetry of a quadratic graph from its equation. | drfrost.org/explorer.php?ssid=8595 | https://www.youtube-nocookie.com/embed/dfkxKVFKZSY | |
| 368q | Secondary | Determine a root of a sketched graph given the turning point and another root. | drfrost.org/explorer.php?ssid=8770 | https://www.youtube-nocookie.com/embed/Q3WsUqM0MJM | |
| 368r | Secondary | Determine the coordinate of the turning point of a quadratic using symmetry and a sketch of the graph. | drfrost.org/explorer.php?ssid=5676 | https://www.youtube-nocookie.com/embed/fMV6rdhgo9g | |
| 368s | Secondary | Determine the equation of a quadratic function from its graph. | drfrost.org/explorer.php?ssid=950 | https://www.youtube-nocookie.com/embed/wcnNURkLV0s | K769 |
| 368t | Secondary | Determine an unknown constant in a quadratic function given a point on the curve and a sketch. | drfrost.org/explorer.php?ssid=5677 | https://www.youtube-nocookie.com/embed/_44n0zCVOzc | |
| 369 | Secondary | Exam Practice: nth term formula for a quadratic sequence | drfrost.org/explorer.php?ssid=79 | https://www.youtube-nocookie.com/embed/vpnSZtct26s | E369 |
| 369a | Secondary | Determine the nth term formula of a quadratic sequence by comparison to n^2 | drfrost.org/explorer.php?ssid=2117 | ||
| 369b | Secondary | Determine the nth term formula of a quadratic sequence in the form n^2+c | drfrost.org/explorer.php?ssid=2123 | ||
| 369c | Secondary | Determine the nth term formula of a quadratic sequence in the form n^2 +bn for positive b | drfrost.org/explorer.php?ssid=2124 | ||
| 369d | Secondary | Determine the nth term formula of a quadratic sequence in the form n^2 +bn for negative b | drfrost.org/explorer.php?ssid=2133 | ||
| 369e | Secondary | Determine the nth term formula of a quadratic sequence in the form n^2+bn+c | drfrost.org/explorer.php?ssid=2136 | ||
| 369f | Secondary | Determine the nth term formula of a quadratic sequence in the form an^2+c | drfrost.org/explorer.php?ssid=1670 | ||
| 369g | Secondary | Determine the nth term formula of a quadratic sequence in the form an^2 +bn | drfrost.org/explorer.php?ssid=1678 | ||
| 369h | Secondary | Determine the nth term formula of a quadratic sequence in the form an^2+bn+c | drfrost.org/explorer.php?ssid=751 | https://www.youtube-nocookie.com/embed/5Er_L4H1GSE | K406 |
| 369i | Secondary | Determine the nth term formula of a quadratic sequence in the form an^2+bn+c where a is negative | drfrost.org/explorer.php?ssid=2113 | ||
| 369j | Secondary | Determine the coefficients of a quadratic nth term rule given information about the terms in the sequence. | drfrost.org/explorer.php?ssid=2114 | ||
| 369k | Secondary | Determine the position of a term in a quadratic sequence. | drfrost.org/explorer.php?ssid=2116 | ||
| 369l | Secondary | Use an existing formula for a quadratic sequence to determine the formula for a similar sequence. | drfrost.org/explorer.php?ssid=2144 | ||
| 370 | Secondary | Exam Practice: nth term formula for a geometric sequence | drfrost.org/explorer.php?ssid=80 | E370 | |
| 370a | Secondary | Determine the nth term for a geometric sequence of the form a^n for positive integers a. | drfrost.org/explorer.php?ssid=5679 | https://www.youtube-nocookie.com/embed/m9UvZdfry_I | |
| 370b | Secondary | Determine the nth term for a geometric sequence of the form ka^n for positive integers a. | drfrost.org/explorer.php?ssid=752 | https://www.youtube-nocookie.com/embed/8LwUW1r9SvI | K407 |
| 370c | Secondary | Determine the nth term for a geometric sequence of the form ka^n where all terms are negative. | drfrost.org/explorer.php?ssid=5680 | https://www.youtube-nocookie.com/embed/XOLvhnX2bhU | |
| 370d | Secondary | Determine the nth term for a geometric sequence of the form ka^n for negative integers a. | drfrost.org/explorer.php?ssid=8405 | https://www.youtube-nocookie.com/embed/N90iHFsm_fk | |
| 370e | Secondary | Determine the nth term for a geometric sequence of the form ka^n for decimal or fractional a. | drfrost.org/explorer.php?ssid=5681 | https://www.youtube-nocookie.com/embed/w85-Wfd1WrM | |
| 370f | Secondary | Determine the nth term for a geometric sequence of the form ka^n where a is a surd. | drfrost.org/explorer.php?ssid=5682 | https://www.youtube-nocookie.com/embed/4Ye4kvCVbHQ | |
| 370g | Secondary | Determine the common ratio of a geometric sequence where the terms are expressed algebraically. | drfrost.org/explorer.php?ssid=5683 | https://www.youtube-nocookie.com/embed/ynH8r5zHG9M | |
| 371 | Secondary | Exam Practice: nth term formula more complicated sequences | drfrost.org/explorer.php?ssid=4299 | E371 | |
| 371a | Secondary | Determine the nth term formula of a sequence, where the numerator and denominator are linear sequences to be found. | drfrost.org/explorer.php?ssid=5684 | ||
| 371b | Secondary | Determine the nth term formula of a sequence, where at least one of the numerator or denominator is quadratic. | drfrost.org/explorer.php?ssid=5685 | ||
| 371c | Secondary | Determine the nth term formula of a sequence where at least one of the numerator or denominator is geometric. | drfrost.org/explorer.php?ssid=5686 | ||
| 371d | Secondary | Determine the nth term formula for a cubic sequence. | drfrost.org/explorer.php?ssid=5687 | ||
| 372 | Secondary | Exam Practice: Column vector notation | drfrost.org/explorer.php?ssid=4300 | E372 | |
| 372a | Secondary | Identify the vector associated with a movement. | drfrost.org/explorer.php?ssid=5688 | ||
| 372b | Secondary | Identify the column vector from a given diagram. | drfrost.org/explorer.php?ssid=5689 | ||
| 372c | Secondary | Draw a vector from a given column vector. | drfrost.org/explorer.php?ssid=5690 | ||
| 373 | Secondary | Exam Practice: Adding, subtracting and scaling column vectors | drfrost.org/explorer.php?ssid=157 | https://www.youtube-nocookie.com/embed/mt_RdPIbLlw | E373 |
| 373a | Secondary | Multiply a column vector by a positive scalar. | drfrost.org/explorer.php?ssid=5691 | ||
| 373b | Secondary | Draw a positive scalar multiple of a vector. | drfrost.org/explorer.php?ssid=5692 | ||
| 373c | Secondary | Multiply a column vector by a negative scalar. | drfrost.org/explorer.php?ssid=5693 | ||
| 373d | Secondary | Draw a negative scalar multiple of a vector. | drfrost.org/explorer.php?ssid=5694 | ||
| 373e | Secondary | Add or subtract vectors written in column vector form. | drfrost.org/explorer.php?ssid=1056 | https://www.youtube-nocookie.com/embed/CjtvHA2Cgdw | K649 |
| 373f | Secondary | Draw the addition or subtraction of column vectors. | drfrost.org/explorer.php?ssid=5695 | ||
| 373g | Secondary | Add or subtract scalar multiples of vectors. | drfrost.org/explorer.php?ssid=1058 | https://www.youtube-nocookie.com/embed/wtAXHkNCNyg | K651 |
| 373h | Secondary | Solve equations formed in vector notation. | drfrost.org/explorer.php?ssid=5696 | ||
| 373i | Secondary | Solve linear simultaneous equations/systems of equations formed with vector notation. | drfrost.org/explorer.php?ssid=5697 | ||
| 373j | Secondary | Solve problems involving vectors where the points form a given shape. | drfrost.org/explorer.php?ssid=8610 | ||
| 374 | Secondary | Exam Practice: Translations of shapes by a vector | drfrost.org/explorer.php?ssid=8 | https://www.youtube-nocookie.com/embed/EUdGPC3SJf4 | E374 |
| 374a | Secondary | Translate a shape horizontally or vertically using a vector. | drfrost.org/explorer.php?ssid=5698 | ||
| 374b | Secondary | Translate a shape by a vector involving positive values. | drfrost.org/explorer.php?ssid=5699 | ||
| 374c | Secondary | Translate a shape by any vector. | drfrost.org/explorer.php?ssid=801 | https://www.youtube-nocookie.com/embed/ZdJgVCH_WJc | K280 |
| 375 | Secondary | Exam Practice: Describing translations using vector notation | drfrost.org/explorer.php?ssid=9 | https://www.youtube-nocookie.com/embed/tgxpTTotBz0 | E375 |
| 375a | Secondary | Describe a translation in a horizontal or vertical direction using vector notation. | drfrost.org/explorer.php?ssid=2173 | ||
| 375b | Secondary | Describe a translation using vector notation with positive numbers only. | drfrost.org/explorer.php?ssid=2174 | ||
| 375c | Secondary | Describe any translation using vector notation. | drfrost.org/explorer.php?ssid=849 | https://www.youtube-nocookie.com/embed/BWWcg_IOG5E | K281 |
| 376 | Secondary | Exam Practice: Enlargement/dilation of shapes by a negative scale factor | drfrost.org/explorer.php?ssid=4301 | E376 | |
| 376a | Secondary | Enlarge/dilate a shape by a negative scale factor. | drfrost.org/explorer.php?ssid=804 | https://www.youtube-nocookie.com/embed/K45RrS0NvTM | K493 |
| 376b | Secondary | Enlarge/dilate a shape by a negative and fractional scale factor. | drfrost.org/explorer.php?ssid=1427 | https://www.youtube-nocookie.com/embed/EPeLMNMX590 | K497 |
| 377 | Secondary | Exam Practice: Describing enlargements/dilations for a negative scale factor | drfrost.org/explorer.php?ssid=4302 | E377 | |
| 377a | Secondary | Describe an enlargement/dilation with a negative scale factor. | drfrost.org/explorer.php?ssid=860 | https://www.youtube-nocookie.com/embed/QmvCjLPx7zE | K496 |
| 377b | Secondary | Describe an enlargement/dilation with a negative and fractional scale factor. | drfrost.org/explorer.php?ssid=5700 | ||
| 378 | Secondary | Exam Practice: Combining transformations | drfrost.org/explorer.php?ssid=4303 | E378 | |
| 378a | Secondary | Complete two transformations on a given shape. | drfrost.org/explorer.php?ssid=5701 | ||
| 378b | Secondary | Describe the single transformation of a shape following two translations. | drfrost.org/explorer.php?ssid=5702 | ||
| 378c | Secondary | Describe the single transformation of a shape following two rotations. | drfrost.org/explorer.php?ssid=5703 | ||
| 378d | Secondary | Describe the single transformation of a shape following two horizontal and/or vertical reflections. | drfrost.org/explorer.php?ssid=5704 | ||
| 378e | Secondary | Describe the single transformation of a shape following any two reflections. | drfrost.org/explorer.php?ssid=5705 | ||
| 378f | Secondary | Describe the single transformation of a shape following a combination of two different transformations. | drfrost.org/explorer.php?ssid=5706 | ||
| 379 | Secondary | Exam Practice: Invariant points | drfrost.org/explorer.php?ssid=4304 | E379 | |
| 379a | Secondary | Give the coordinate of an invariant point for a given transformation. | drfrost.org/explorer.php?ssid=5707 | ||
| 379b | Secondary | Give the coordinate of an invariant point for a given combination of transformations. | drfrost.org/explorer.php?ssid=5708 | ||
| 379c | Secondary | Describe a transformation that would leave a given point invariant. | drfrost.org/explorer.php?ssid=5709 | ||
| 380 | Secondary | Exam Practice: Listing all combinations | drfrost.org/explorer.php?ssid=65 | https://www.youtube-nocookie.com/embed/cLvrDx-30Jo | E380 |
| 380a | Secondary | List combinations of items from two or more groups. | drfrost.org/explorer.php?ssid=5710 | ||
| 380b | Secondary | List all possible orderings of items. | drfrost.org/explorer.php?ssid=5711 | ||
| 380c | Secondary | List all possible routes between two points in a graph. | drfrost.org/explorer.php?ssid=5712 | ||
| 381 | Secondary | Exam Practice: Product rule for counting (Fundamental Counting Principle) | drfrost.org/explorer.php?ssid=64 | https://www.youtube-nocookie.com/embed/slevVi3goQk | E381 |
| 381a | Secondary | Determine the number of combinations when an item is taken from each group. | drfrost.org/explorer.php?ssid=2159 | ||
| 381b | Secondary | Determine the number of combinations when an item is repeatedly taken from the same group, but with replacement. | drfrost.org/explorer.php?ssid=2185 | ||
| 381c | Secondary | Use the number of combinations to determine the number of items in a group. | drfrost.org/explorer.php?ssid=2187 | ||
| 381d | Secondary | Determine the number of combinations when multiple items are taken from the same group, where order matters. | drfrost.org/explorer.php?ssid=2189 | ||
| 381e | Secondary | Determine the number of combinations when an item is taken from only some of the groups. | drfrost.org/explorer.php?ssid=2190 | ||
| 381f | Secondary | Determine the number of combinations when the selection from one or more groups must be a given type. | drfrost.org/explorer.php?ssid=8869 | ||
| 381g | Secondary | Use the number of combinations to determine a probability or fraction. | drfrost.org/explorer.php?ssid=2204 | ||
| 381h | Secondary | Determine the number of combinations when two items are taken from the same group, where order does not matter. | drfrost.org/explorer.php?ssid=2209 | ||
| 381i | Secondary | Determine the number of combinations when multiple forms of a list are produced, with some items taken from the same group. | drfrost.org/explorer.php?ssid=2208 | ||
| 381j | Secondary | Use the number of combinations from multiple forms of a list to determine a probability or fraction. | drfrost.org/explorer.php?ssid=2271 | ||
| 382 | Secondary | Exam Practice: Non-multiplicative approaches to counting, including case analysis | drfrost.org/explorer.php?ssid=385 | E382 | |
| 382a | Secondary | Use listing strategies to find the number of combinations that result in a given property. | drfrost.org/explorer.php?ssid=5713 | ||
| 382b | Secondary | Solve problems by use of case analysis. | drfrost.org/explorer.php?ssid=5714 | ||
| 383 | Secondary | Exam Practice: Truncating a number to a given number of decimal places | drfrost.org/explorer.php?ssid=383 | https://www.youtube-nocookie.com/embed/P9NVIheNOdw | E383 |
| 383a | Secondary | Truncate a number to a given number of decimal places or to a whole number. | drfrost.org/explorer.php?ssid=1396 | https://www.youtube-nocookie.com/embed/OfTNgSg99_k | K457 |
| 383b | Secondary | Calculate bounds of a number truncated to a given number of decimal places. | drfrost.org/explorer.php?ssid=1078 | https://www.youtube-nocookie.com/embed/wQwj6sVOMzg | K458 |
| 383c | Secondary | Identify the error interval for a truncated number. | drfrost.org/explorer.php?ssid=5715 | ||
| 384 | Secondary | Exam Practice: Using lower and upper bounds within calculations to calculate a further lower/upper bound | drfrost.org/explorer.php?ssid=388 | https://www.youtube-nocookie.com/embed/VqRVIEWAzQs | E384 |
| 384a | Secondary | Calculate a further bound for a given formula involving a multiplication. | drfrost.org/explorer.php?ssid=1080 | https://www.youtube-nocookie.com/embed/o9KGaTJMM-w | K460 |
| 384b | Secondary | Calculate a further bound for a given formula involving an addition. | drfrost.org/explorer.php?ssid=1082 | https://www.youtube-nocookie.com/embed/2OgeM3HwFA0 | K459 |
| 384c | Secondary | Calculate a further bound for a given formula involving a subtraction. | drfrost.org/explorer.php?ssid=1083 | https://www.youtube-nocookie.com/embed/891T3-gSXgY | K461 |
| 384d | Secondary | Calculate a further bound for a given formula involving a division. | drfrost.org/explorer.php?ssid=1081 | https://www.youtube-nocookie.com/embed/sN8gtyj-KcY | K462 |
| 384e | Secondary | Calculate a lower or upper bound for a speed, distance or time calculation. | drfrost.org/explorer.php?ssid=5716 | ||
| 384f | Secondary | Calculate a further bound for a given formula involving multiple arithmetic operations. | drfrost.org/explorer.php?ssid=1084 | https://www.youtube-nocookie.com/embed/UkDv8UJL_L8 | K463 |
| 384g | Secondary | Calculate a further bound and specify the value to a suitable degree of accuracy. | drfrost.org/explorer.php?ssid=1138 | https://www.youtube-nocookie.com/embed/k0_I-LN60u4 | K464 |
| 385 | Secondary | Exam Practice: Tolerance | drfrost.org/explorer.php?ssid=4305 | E385 | |
| 385a | Secondary | Write a minimum and maximum measurement in tolerance form. | drfrost.org/explorer.php?ssid=5717 | ||
| 385b | Secondary | Write the tolerance form from a given context. | drfrost.org/explorer.php?ssid=5718 | ||
| 385c | Secondary | Find the maximum and minimum from a tolerance written as a percentage. | drfrost.org/explorer.php?ssid=5719 | ||
| 385d | Secondary | Write a tolerance from a given context when the tolerance is written as a percentage. | drfrost.org/explorer.php?ssid=5720 | ||
| 385e | Secondary | Accumulate error (by addition or subtraction only). | drfrost.org/explorer.php?ssid=5721 | ||
| 386 | Secondary | Exam Practice: Algebraic direct and inverse proportion | drfrost.org/explorer.php?ssid=355 | https://www.youtube-nocookie.com/embed/JVbNzRe0hKE | E386 |
| 386a | Secondary | Determine the formula connecting two variables which are directly proportional. | drfrost.org/explorer.php?ssid=811 | https://www.youtube-nocookie.com/embed/xk497iF8MGE | K472 |
| 386b | Secondary | Determine the formula connecting two variables which are directly proportional involving powers/roots. | drfrost.org/explorer.php?ssid=846 | K473 | |
| 386c | Secondary | Determine the formula connecting two variables which are inversely proportional. | drfrost.org/explorer.php?ssid=812 | https://www.youtube-nocookie.com/embed/qGfghjjASLQ | K474 |
| 386d | Secondary | Determine the formula connecting two variables which are inversely proportional involving powers/roots. | drfrost.org/explorer.php?ssid=847 | K475 | |
| 386e | Secondary | Determine and then use the formula connecting two variables which are directly proportional, possibly involving powers/roots. | drfrost.org/explorer.php?ssid=8909 | ||
| 386f | Secondary | Determine and then use the formula connecting two variables which are inversely proportional, possibly involving powers/roots. | drfrost.org/explorer.php?ssid=8910 | ||
| 386g | Secondary | Complete a table of values for a directly proportional relationship. | drfrost.org/explorer.php?ssid=2272 | ||
| 386h | Secondary | Complete a table of values for an inversely proportional relationship. | drfrost.org/explorer.php?ssid=5723 | ||
| 386i | Secondary | Decide on the proportional relationship between two variables given two pairs of values. | drfrost.org/explorer.php?ssid=2282 | ||
| 386j | Secondary | Determine a formula to connect two proportional relationships with a common variable. | drfrost.org/explorer.php?ssid=1610 | ||
| 386k | Secondary | Use the constant of proportionality for direct or inverse proportion involving a percentage change. | drfrost.org/explorer.php?ssid=1510 | K975 | |
| 386l | Secondary | Determine a formula for a directly or inversely proportional relationship where the inputs are algebraic. | drfrost.org/explorer.php?ssid=2297 | ||
| 387 | Secondary | Exam Practice: Simplifying single algebraic fractions by cancelling common factors | drfrost.org/explorer.php?ssid=356 | https://www.youtube-nocookie.com/embed/RfFqb93M4U4 | E387 |
| 387a | Secondary | Simplify a factorised algebraic fraction. | drfrost.org/explorer.php?ssid=1446 | https://www.youtube-nocookie.com/embed/ZR7ItaSpe2I | K411 |
| 387b | Secondary | Simplify algebraic fractions where linear factorisation of one of the numerator or denominator is required. | drfrost.org/explorer.php?ssid=1545 | https://www.youtube-nocookie.com/embed/qwdOLaLI0is | K740 |
| 387c | Secondary | Simplify algebraic fractions where linear factorisation of both the numerator and denominator is required. | drfrost.org/explorer.php?ssid=1546 | https://www.youtube-nocookie.com/embed/R1nQV2lrRDU | K741 |
| 387d | Secondary | Simplify algebraic fractions where factorisation of a simple quadratic on the numerator or denominator is required. | drfrost.org/explorer.php?ssid=1236 | https://www.youtube-nocookie.com/embed/ZzS1hdihiOQ | K412 |
| 387e | Secondary | Simplify algebraic fractions where factorisation of a simple quadratic on both the numerator and denominator is required. | drfrost.org/explorer.php?ssid=1237 | https://www.youtube-nocookie.com/embed/1IfM07KM2wE | K413 |
| 387f | Secondary | Simplify algebraic fractions where factorisation of a non-monic quadratic expression on the numerator or denominator is required. | drfrost.org/explorer.php?ssid=5725 | ||
| 387g | Secondary | Simplify algebraic fractions where factorisation of a non-monic quadratic expression on both the numerator and denominator is required. | drfrost.org/explorer.php?ssid=8335 | ||
| 387h | Secondary | Simplify algebraic fractions where one factorised term is a negative of another. | drfrost.org/explorer.php?ssid=5726 | ||
| 388 | Secondary | Exam Practice: Multiplying and dividing algebraic fractions | drfrost.org/explorer.php?ssid=357 | https://www.youtube-nocookie.com/embed/PMXJGwzW1AM | E388 |
| 388a | Secondary | Multiply algebraic fractions with single terms on the numerators and denominators. | drfrost.org/explorer.php?ssid=1153 | https://www.youtube-nocookie.com/embed/wX202wCRmss | K409 |
| 388b | Secondary | Divide algebraic fractions with single terms on the numerators and denominators. | drfrost.org/explorer.php?ssid=1154 | https://www.youtube-nocookie.com/embed/9cS5X5YOF9E | K410 |
| 388c | Secondary | Multiply algebraic fractions with bracketed expressions on the numerators and denominators. | drfrost.org/explorer.php?ssid=8534 | https://www.youtube-nocookie.com/embed/Li4RLySr8a0 | |
| 388d | Secondary | Divide algebraic fractions with bracketed expressions on the numerators and denominators. | drfrost.org/explorer.php?ssid=8535 | https://www.youtube-nocookie.com/embed/gFIdzhTk2vQ | |
| 388e | Secondary | Multiply algebraic fractions requiring prior simple factorisation. | drfrost.org/explorer.php?ssid=8536 | https://www.youtube-nocookie.com/embed/GGeLi8VpDV4 | |
| 388f | Secondary | Divide algebraic fractions requiring prior simple factorisation. | drfrost.org/explorer.php?ssid=8537 | https://www.youtube-nocookie.com/embed/ThzHYHLgVtk | |
| 388g | Secondary | Multiply algebraic fractions requiring prior factorisation including monic quadratic expressions. | drfrost.org/explorer.php?ssid=1937 | https://www.youtube-nocookie.com/embed/cBgLcK-FNMM | |
| 388h | Secondary | Divide algebraic fractions requiring prior factorisation including monic quadratic expressions. | drfrost.org/explorer.php?ssid=1942 | https://www.youtube-nocookie.com/embed/hoGy_6dTLWY | |
| 388i | Secondary | Multiply algebraic fractions requiring prior factorisation, including non-monic quadratic expressions. | drfrost.org/explorer.php?ssid=1943 | https://www.youtube-nocookie.com/embed/zFxnJlZKhxc | |
| 388j | Secondary | Divide algebraic fractions requiring prior factorisation, including non-monic quadratic expressions. | drfrost.org/explorer.php?ssid=1950 | https://www.youtube-nocookie.com/embed/Z66n9s4F08s | |
| 389 | Secondary | Exam Practice: Adding and subtracting algebraic fractions (no factorisation of denominators required) | drfrost.org/explorer.php?ssid=18 | https://www.youtube-nocookie.com/embed/PQWQQRRpUlQ | E389 |
| 389a | Secondary | Add and subtract algebraic fractions with integer denominators and single terms on the numerators. | drfrost.org/explorer.php?ssid=1096 | https://www.youtube-nocookie.com/embed/IJa8_uWgFvc | K408 |
| 389b | Secondary | Add and subtract algebraic fractions with integer denominators and linear expressions on the numerators. | drfrost.org/explorer.php?ssid=8611 | ||
| 389c | Secondary | Add and subtract algebraic fractions with linear expressions on numerator and the same denominator. | drfrost.org/explorer.php?ssid=8612 | ||
| 389d | Secondary | Add and subtract algebraic fractions with linear expressions on numerator and different denominators. | drfrost.org/explorer.php?ssid=8613 | ||
| 389e | Secondary | Add or subtract algebraic fractions with algebraic denominators made of single terms. | drfrost.org/explorer.php?ssid=1540 | https://www.youtube-nocookie.com/embed/RzojiUG3jgA | K736 |
| 389f | Secondary | Add algebraic fractions with algebraic linear denominators. | drfrost.org/explorer.php?ssid=1155 | https://www.youtube-nocookie.com/embed/nA0KBAKTp7M | K605 |
| 389g | Secondary | Subtract algebraic fractions with algebraic linear denominators. | drfrost.org/explorer.php?ssid=1244 | https://www.youtube-nocookie.com/embed/uUYnGCrGD4Y | K606 |
| 389h | Secondary | Add or subtract a mixture of fractional and non-fractional terms. | drfrost.org/explorer.php?ssid=1963 | https://www.youtube-nocookie.com/embed/qZu2SOi7y6s | |
| 389i | Secondary | Add or subtract algebraic fractions with a factorised quadratic expression in one denominator. | drfrost.org/explorer.php?ssid=1964 | https://www.youtube-nocookie.com/embed/c2fr5lnyQmA | |
| 389j | Secondary | Combine multiplication or division of algebraic fractions, not requiring prior factorisation of the denominators, with an addition or subtraction. | drfrost.org/explorer.php?ssid=5728 | ||
| 389k | Secondary | Change the subject of a formula involving algebraic fractions, where the subject is in the denominator. | drfrost.org/explorer.php?ssid=2362 | ||
| 390 | A Level, Secondary | Exam Practice: Adding and subtracting algebraic fractions, requiring prior factorisation of the denominators | drfrost.org/explorer.php?ssid=361 | https://www.youtube-nocookie.com/embed/oSy_5CWt3Dg | E390 |
| 390a | A Level, Secondary | Add or subtract algebraic fractions where non-quadratic factorising is required (changing one denominator). | drfrost.org/explorer.php?ssid=8563 | https://www.youtube-nocookie.com/embed/m2PFNBrzxog | |
| 390b | A Level, Secondary | Add or subtract algebraic fractions where non-quadratic factorising is required (changing two denominators). | drfrost.org/explorer.php?ssid=8654 | https://www.youtube-nocookie.com/embed/M_0e037cM-o | |
| 390c | A Level, Secondary | Add or subtract algebraic fractions where quadratic factorising is required (changing one denominator). | drfrost.org/explorer.php?ssid=1672 | https://www.youtube-nocookie.com/embed/qHMCSIxUJsI | |
| 390d | A Level, Secondary | Add or subtract algebraic fractions where quadratic factorising is required (changing two denominators). | drfrost.org/explorer.php?ssid=1677 | https://www.youtube-nocookie.com/embed/rK3VjQ5oTzE | |
| 390e | A Level, Secondary | Add or subtract three fractions requiring prior factorisation. | drfrost.org/explorer.php?ssid=5727 | https://www.youtube-nocookie.com/embed/YARxmWmhtm0 | |
| 390f | A Level, Secondary | Combine multiplication or division of algebraic fractions, requiring prior factorisation of the denominators, with an addition or subtraction. | drfrost.org/explorer.php?ssid=1620 | https://www.youtube-nocookie.com/embed/T5P0U9fSZwk | |
| 391 | Secondary | Exam Practice: Changing the subject of a formula where the subject appears multiple times | drfrost.org/explorer.php?ssid=15 | https://www.youtube-nocookie.com/embed/AtoHt5-jpFk | E391 |
| 391a | Secondary | Change the subject of a formula where the subject appears on the same side twice. | drfrost.org/explorer.php?ssid=980 | https://www.youtube-nocookie.com/embed/UYeklmx3f4o | K572 |
| 391b | Secondary | Change the subject of a formula where the subject appears on the same side twice as a square term. | drfrost.org/explorer.php?ssid=2304 | ||
| 391c | Secondary | Change the subject of a formula where the subject appears on both sides. | drfrost.org/explorer.php?ssid=981 | https://www.youtube-nocookie.com/embed/NTNj__TosfI | K573 |
| 391d | Secondary | Change the subject of a formula where the subject appears twice on a fraction. | drfrost.org/explorer.php?ssid=982 | https://www.youtube-nocookie.com/embed/5ehDvtjZi-o | K574 |
| 391e | Secondary | Change the subject of a formula where the subject appears twice with a square root. | drfrost.org/explorer.php?ssid=983 | https://www.youtube-nocookie.com/embed/Qx6iYTwLqLo | K575 |
| 391f | Secondary | Change the subject of a formula where the subject appears twice on a fraction as a term with power 2 or higher. | drfrost.org/explorer.php?ssid=2305 | ||
| 391g | Secondary | Change the subject of a formula where the subject appears on both sides of the equation, with a fractional term on one side. | drfrost.org/explorer.php?ssid=8321 | ||
| 391h | Secondary | Change the subject of a formula where the subject appears twice with a single fractional term on each side of the equation. | drfrost.org/explorer.php?ssid=2306 | ||
| 391i | Secondary | Change the subject of the formula with multiple fractions, where the subject is in a numerator. | drfrost.org/explorer.php?ssid=8384 | ||
| 391j | Secondary | Change the subject of the formula with multiple fractions, where the subject is in a denominator. | drfrost.org/explorer.php?ssid=1623 | https://www.youtube-nocookie.com/embed/a-gZnDHGqVc | |
| 392 | A Level, Secondary | Exam Practice: Rationalising the denominator where the denominator consists of a single surd term | drfrost.org/explorer.php?ssid=586 | E392 | |
| 392a | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a}{\sqrt{b}} | drfrost.org/explorer.php?ssid=686 | https://www.youtube-nocookie.com/embed/0sSjrJfz6UQ | K685 |
| 392b | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a}{b\sqrt{c}} | drfrost.org/explorer.php?ssid=8614 | ||
| 392c | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a}{\sqrt{b}} and where subsequent simplification is required. | drfrost.org/explorer.php?ssid=2027 | https://www.youtube-nocookie.com/embed/p_WoUulAKws | |
| 392d | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a\sqrt{b}}{c\sqrt{d}} | drfrost.org/explorer.php?ssid=8683 | ||
| 392e | A Level, Secondary | Simplify expressions given in the form \frac{a + \sqrt{b}}{\sqrt{c}} | drfrost.org/explorer.php?ssid=2031 | https://www.youtube-nocookie.com/embed/X5smkgYqVGY | |
| 392f | A Level, Secondary | Rationalise the denominator of a fraction to subsequently add or subtract surds. | drfrost.org/explorer.php?ssid=2029 | ||
| 392g | A Level, Secondary | Solve equations given in the form (a\sqrt{b})x = c or (a\sqrt{b})x = c\sqrt{d} | drfrost.org/explorer.php?ssid=8684 | ||
| 392h | A Level, Secondary | Simplify \left(\frac{a}{\sqrt{b}}\right)^n where n is large. | drfrost.org/explorer.php?ssid=2032 | https://www.youtube-nocookie.com/embed/flzGFaSKOOE | |
| 393 | A Level, Secondary | Exam Practice: Rationalising the denominator where the denominator consists of a surd and a second term | drfrost.org/explorer.php?ssid=63 | https://www.youtube-nocookie.com/embed/wiBovf97ihc | E393 |
| 393a | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a}{b + \sqrt{c}} | drfrost.org/explorer.php?ssid=2046 | ||
| 393b | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a\sqrt{b}}{c + \sqrt{d}} | drfrost.org/explorer.php?ssid=8680 | ||
| 393c | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a}{\sqrt{b} + \sqrt{c}} or \frac{a\sqrt{b}}{\sqrt{c} + \sqrt{d}} | drfrost.org/explorer.php?ssid=1139 | https://www.youtube-nocookie.com/embed/aZmdegR1JTw | K688 |
| 393d | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a}{b + c\sqrt{d}} or \frac{a\sqrt{b}}{c + d\sqrt{e}} | drfrost.org/explorer.php?ssid=8681 | ||
| 393e | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a + \sqrt{b}}{c + \sqrt{b}} | drfrost.org/explorer.php?ssid=872 | https://www.youtube-nocookie.com/embed/GkdPm1qjlEA | K686 |
| 393f | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a+\sqrt{b}}{c+\sqrt{d}}, where simplification of a surd is required. | drfrost.org/explorer.php?ssid=2045 | ||
| 393g | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a + b\sqrt{c}}{d + e\sqrt{c}} | drfrost.org/explorer.php?ssid=873 | https://www.youtube-nocookie.com/embed/qxqFsazeTdk | K687 |
| 393h | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a+b\sqrt{c}}{d+e\sqrt{f}}, where simplification is required. | drfrost.org/explorer.php?ssid=2042 | ||
| 393i | A Level, Secondary | Rationalise the denominator of a fraction where either the numerator or the denominator is squared. | drfrost.org/explorer.php?ssid=2047 | ||
| 393j | A Level, Secondary | Solve equations given in the form x(a + b\sqrt{c}) = d or x(a + b\sqrt{c}) = d+e\sqrt{f} | drfrost.org/explorer.php?ssid=2044 | ||
| 393k | A Level, Secondary | Solve equations given in the form x(a + b\sqrt{c}) = d+e\sqrt{f} | drfrost.org/explorer.php?ssid=8682 | ||
| 393l | A Level, Secondary | Solve equations with surds and unknowns on both sides. | drfrost.org/explorer.php?ssid=2043 | ||
| 394 | A Level, Secondary | Exam Practice: Fractional indices | drfrost.org/explorer.php?ssid=58 | https://www.youtube-nocookie.com/embed/E-gq8eq105I | E394 |
| 394a | A Level, Secondary | Raise a number to the power of one half. | drfrost.org/explorer.php?ssid=2125 | ||
| 394b | A Level, Secondary | Raise a number to the power of a unit fraction. | drfrost.org/explorer.php?ssid=650 | https://www.youtube-nocookie.com/embed/cmP8DoNjP6c | K689 |
| 394c | A Level, Secondary | Determine the unknown power in an expression involving unit fractions as indices, given its numeric equivalent. | drfrost.org/explorer.php?ssid=5729 | ||
| 394d | A Level, Secondary | Determine the unknown base in an expression involving unit fractions as indices, given its numeric equivalent. | drfrost.org/explorer.php?ssid=5730 | ||
| 394e | A Level, Secondary | Raise a fraction to the power of a unit fraction. | drfrost.org/explorer.php?ssid=652 | https://www.youtube-nocookie.com/embed/_OPbhcaouZs | K691 |
| 394f | A Level, Secondary | Raise a number to the power of a non-unit fraction. | drfrost.org/explorer.php?ssid=2075 | ||
| 394g | A Level, Secondary | Raise a fraction to the power of a non-unit fraction. | drfrost.org/explorer.php?ssid=2076 | ||
| 394h | A Level, Secondary | Determine the unknown power in an expression involving non-unit fractions as indices, given its numeric equivalent. | drfrost.org/explorer.php?ssid=5731 | ||
| 394i | A Level, Secondary | Determine the unknown base in an expression involving non-unit fractions as indices, given its numeric equivalent. | drfrost.org/explorer.php?ssid=5732 | ||
| 394j | A Level, Secondary | Raise a number to the power of a negative fraction. | drfrost.org/explorer.php?ssid=651 | https://www.youtube-nocookie.com/embed/uN135i-Sefk | K690 |
| 394k | A Level, Secondary | Raise a fraction to the power of a negative fraction. | drfrost.org/explorer.php?ssid=653 | https://www.youtube-nocookie.com/embed/ND5Ls34mRd4 | K692 |
| 394l | A Level, Secondary | Raise an algebraic term to the power of a positive unit fraction. | drfrost.org/explorer.php?ssid=819 | https://www.youtube-nocookie.com/embed/2yavvH_Un3w | K693 |
| 394m | A Level, Secondary | Raise an algebraic term to the power of any positive fraction. | drfrost.org/explorer.php?ssid=5733 | ||
| 394n | A Level, Secondary | Raise an algebraic term to the power of a negative fraction. | drfrost.org/explorer.php?ssid=820 | https://www.youtube-nocookie.com/embed/ZabULuxYCrs | K694 |
| 394o | A Level, Secondary | Raise an algebraic fraction to the power of a negative fraction. | drfrost.org/explorer.php?ssid=2077 | ||
| 394p | A Level, Secondary | Write a power with a unit fractional index as a surd expression. | drfrost.org/explorer.php?ssid=8341 | ||
| 394q | A Level, Secondary | Write a power with a non-unit fractional index as a surd expression. | drfrost.org/explorer.php?ssid=8342 | ||
| 394r | A Level, Secondary | Write a surd expression in one variable as a power of that variable (or value). | drfrost.org/explorer.php?ssid=2085 | ||
| 394s | A Level, Secondary | Write a collection of terms in the form ax^b | drfrost.org/explorer.php?ssid=1281 | K762 | |
| 394t | A Level, Secondary | Simplify an algebraic fraction using index laws with negative and fractional powers and surd notation. | drfrost.org/explorer.php?ssid=976 | K766 | |
| 394u | A Level, Secondary | Write a fraction as a collection of terms by splitting the fraction. | drfrost.org/explorer.php?ssid=1498 | K967 | |
| 394v | A Level, Secondary | Raise an algebraic expression in standard form to a fractional power and convert back to standard form. | drfrost.org/explorer.php?ssid=5734 | ||
| 395 | A Level, Secondary | Exam Practice: Solving equations involving negative and fractional powers and surds | drfrost.org/explorer.php?ssid=4306 | E395 | |
| 395a | A Level, Secondary | Solve equations given in the form x^{-1} = a | drfrost.org/explorer.php?ssid=5735 | ||
| 395b | A Level, Secondary | Solve equations given in the form x^{-a} = b | drfrost.org/explorer.php?ssid=5736 | ||
| 395c | A Level, Secondary | Solve equations given in the form x^\frac{1}{a} = b | drfrost.org/explorer.php?ssid=5737 | ||
| 395d | A Level, Secondary | Solve equations given in the form x^\frac{a}{b} = c resulting in integer solutions. | drfrost.org/explorer.php?ssid=2126 | ||
| 395e | A Level, Secondary | Solve equations given in the form x^\frac{a}{b} = c resulting in solutions in surd form. | drfrost.org/explorer.php?ssid=2132 | ||
| 395f | A Level, Secondary | Solve equations given in the form x^{-\frac{a}{b}} = c | drfrost.org/explorer.php?ssid=5738 | ||
| 395g | A Level, Secondary | Solve equations requiring rearrangement, leading to x^a=b where a is a fraction. | drfrost.org/explorer.php?ssid=1676 | ||
| 395h | A Level, Secondary | Solve equations where a root or fractional power is involved requiring operations with surds. | drfrost.org/explorer.php?ssid=5739 | ||
| 395i | A Level, Secondary | Solve equations with negative and fractional powers, then manipulate these values. | drfrost.org/explorer.php?ssid=5740 | ||
| 396 | Secondary | Exam Practice: Quartiles from discrete data | drfrost.org/explorer.php?ssid=341 | https://www.youtube-nocookie.com/embed/JZWRp2ANCg0 | E396 |
| 396a | Secondary | Find quartiles of listed data. | drfrost.org/explorer.php?ssid=1398 | https://www.youtube-nocookie.com/embed/d1jUs4FceAQ | K552 |
| 396b | Secondary | Find the interquartile range of listed data. | drfrost.org/explorer.php?ssid=1422 | https://www.youtube-nocookie.com/embed/uXT0v3Zx6uk | K553 |
| 396c | Secondary | Find the semi-interquartile range of listed data. | drfrost.org/explorer.php?ssid=5741 | ||
| 396d | Secondary | Determine the upper and lower quartiles from a stem-and-leaf diagram. | drfrost.org/explorer.php?ssid=1439 | K554 | |
| 396e | Secondary | Determine the interquartile range from a stem-and-leaf diagram. | drfrost.org/explorer.php?ssid=1758 | ||
| 396f | Secondary | Compare two sets of data based on their medians and interquartile ranges. | drfrost.org/explorer.php?ssid=5742 | ||
| 396g | Secondary | Determine the lower or upper quartile from an ungrouped frequency table. | drfrost.org/explorer.php?ssid=2158 | ||
| 397 | Secondary | Exam Practice: Deciles and percentiles from discrete data | drfrost.org/explorer.php?ssid=4307 | E397 | |
| 397a | Secondary | Find deciles of listed data. | drfrost.org/explorer.php?ssid=5743 | ||
| 397b | Secondary | Find percentiles of listed data. | drfrost.org/explorer.php?ssid=5744 | ||
| 397c | Secondary | Find the inter-decile range of listed data. | drfrost.org/explorer.php?ssid=5745 | ||
| 397d | Secondary | Find the inter-percentile range of listed data. | drfrost.org/explorer.php?ssid=5746 | ||
| 397e | Secondary | Compare two sets of data using deciles and percentiles, or the inter-decile or inter-percentile ranges. | drfrost.org/explorer.php?ssid=5747 | ||
| 398 | Secondary | Exam Practice: Cumulative frequency graphs | drfrost.org/explorer.php?ssid=344 | https://www.youtube-nocookie.com/embed/sfxNFPWfn14 | E398 |
| 398a | Secondary | Form a cumulative frequency table from a grouped frequency table. | drfrost.org/explorer.php?ssid=1579 | K757 | |
| 398b | Secondary | Interpret a cumulative frequency table. | drfrost.org/explorer.php?ssid=8399 | ||
| 398c | Secondary | Draw a cumulative frequency curve given a continuous cumulative frequency table. | drfrost.org/explorer.php?ssid=815 | https://www.youtube-nocookie.com/embed/pKH4XjD4S9M | K557 |
| 398d | Secondary | Draw a cumulative frequency curve given a continuous, grouped frequency table. | drfrost.org/explorer.php?ssid=816 | https://www.youtube-nocookie.com/embed/mhvDfyc_IIM | K558 |
| 398e | Secondary | Use a cumulative frequency curve to estimate the median. | drfrost.org/explorer.php?ssid=839 | https://www.youtube-nocookie.com/embed/4yQck0Or7Pk | K559 |
| 398f | Secondary | Use a cumulative frequency curve to estimate the interquartile range. | drfrost.org/explorer.php?ssid=840 | https://www.youtube-nocookie.com/embed/K2G-hEvhHtM | K560 |
| 398g | Secondary | Use a cumulative frequency curve to estimate values. | drfrost.org/explorer.php?ssid=1076 | https://www.youtube-nocookie.com/embed/9stxtowIyKk | K561 |
| 398h | Secondary | Use a cumulative frequency curve to estimate a percentile or decile. | drfrost.org/explorer.php?ssid=5748 | ||
| 398i | Secondary | Use a cumulative frequency curve to estimate the inter-decile or inter-percentile range. | drfrost.org/explorer.php?ssid=5749 | ||
| 398j | Secondary | Form a cumulative frequency table from a discrete, ungrouped frequency table. | drfrost.org/explorer.php?ssid=5750 | ||
| 398k | Secondary | Draw a cumulative frequency step-polygon given a discrete, ungrouped frequency table. | drfrost.org/explorer.php?ssid=5751 | ||
| 398l | Secondary | Compare the distribution of two cumulative frequency graphs. | drfrost.org/explorer.php?ssid=8398 | ||
| 399 | Secondary | Exam Practice: Box plots / box and whisker diagrams (excluding outliers) | drfrost.org/explorer.php?ssid=345 | https://www.youtube-nocookie.com/embed/lIcj_NjZlZU | E399 |
| 399a | Secondary | Interpret a box plot. | drfrost.org/explorer.php?ssid=898 | https://www.youtube-nocookie.com/embed/e3SPUZLszRY | K555 |
| 399b | Secondary | Draw a box plot where the quartiles have been calculated. | drfrost.org/explorer.php?ssid=1039 | https://www.youtube-nocookie.com/embed/deNsGhWY-8A | K556 |
| 399c | Secondary | Draw a box plot using listed data. | drfrost.org/explorer.php?ssid=5752 | ||
| 399d | Secondary | Draw a box plot from a cumulative frequency diagram. | drfrost.org/explorer.php?ssid=1750 | ||
| 399e | Secondary | Understand the proportions shown in a box plot. | drfrost.org/explorer.php?ssid=5753 | ||
| 399f | Secondary | Compare the distribution of two box plots. | drfrost.org/explorer.php?ssid=1811 | ||
| 400 | Secondary | Exam Practice: Time series and moving averages | drfrost.org/explorer.php?ssid=4308 | E400 | |
| 400a | Secondary | Draw a time-series graph. | drfrost.org/explorer.php?ssid=1458 | K90 | |
| 400b | Secondary | Read a time-series graph. | drfrost.org/explorer.php?ssid=1457 | K89 | |
| 400c | Secondary | Draw a trend line on a time-series graph. | drfrost.org/explorer.php?ssid=5754 | ||
| 400d | Secondary | Describe the trend of a given time series graph. | drfrost.org/explorer.php?ssid=5755 | ||
| 400e | Secondary | Understand and interpret seasonal variation. | drfrost.org/explorer.php?ssid=5756 | ||
| 400f | Secondary | Calculate a four-point moving average. | drfrost.org/explorer.php?ssid=5757 | ||
| 400g | Secondary | Calculate a moving average with a given number of points. | drfrost.org/explorer.php?ssid=5758 | ||
| 400h | Secondary | Use a moving average to plot a trend line. | drfrost.org/explorer.php?ssid=5759 | ||
| 400i | Secondary | Calculate the mean seasonal variation. | drfrost.org/explorer.php?ssid=5760 | ||
| 400j | Secondary | Use mean seasonal variation and the trend line to give a predicted future value. | drfrost.org/explorer.php?ssid=5761 | ||
| 400k | Secondary | Justify the use of a given number of points for a moving average or the validity of a prediction. | drfrost.org/explorer.php?ssid=5762 | ||
| 401 | A Level, Secondary | Exam Practice: Histograms and frequency density (unequal class widths) | drfrost.org/explorer.php?ssid=339 | https://www.youtube-nocookie.com/embed/yvVOFvXTY3s | E401 |
| 401a | A Level, Secondary | Complete a histogram from a frequency table. | drfrost.org/explorer.php?ssid=876 | https://www.youtube-nocookie.com/embed/yvYLF8Tg764 | K623 |
| 401b | A Level, Secondary | Complete a frequency table from a histogram. | drfrost.org/explorer.php?ssid=877 | https://www.youtube-nocookie.com/embed/tNomKD1fvkA | K624 |
| 401c | A Level, Secondary | Use a single frequency to determine another for a given range on a histogram. | drfrost.org/explorer.php?ssid=878 | https://www.youtube-nocookie.com/embed/WAUKD2E_Lh8 | K625 |
| 401d | A Level, Secondary | Determine the total frequency from a histogram given one frequency. | drfrost.org/explorer.php?ssid=879 | https://www.youtube-nocookie.com/embed/0D2ijgv6Jl8 | K626 |
| 401e | A Level, Secondary | Estimate a frequency in a given range from a histogram. | drfrost.org/explorer.php?ssid=5763 | ||
| 401f | A Level, Secondary | Determine a probability or proportion of a range from a histogram. | drfrost.org/explorer.php?ssid=5764 | ||
| 401g | A Level, Secondary | Find the dimensions of a histogram bar. | drfrost.org/explorer.php?ssid=1093 | K844 | |
| 401h | A Level, Secondary | Estimate the mean from a histogram. | drfrost.org/explorer.php?ssid=5765 | ||
| 401i | A Level, Secondary | Estimate the median from a histogram. | drfrost.org/explorer.php?ssid=5766 | ||
| 401j | A Level, Secondary | Estimate a quartile, decile or percentile from a histogram. | drfrost.org/explorer.php?ssid=5767 | ||
| 401k | A Level, Secondary | Compare two sets of data by considering their histograms. | drfrost.org/explorer.php?ssid=8395 | ||
| 402 | Secondary | Exam Practice: Understanding skewness | drfrost.org/explorer.php?ssid=4309 | E402 | |
| 402a | Secondary | Determine whether data is unimodal or bimodal. | drfrost.org/explorer.php?ssid=8672 | ||
| 402b | Secondary | Identify where data is clustered. | drfrost.org/explorer.php?ssid=8673 | ||
| 402c | Secondary | Describe the skewness of a given frequency diagram or histogram. | drfrost.org/explorer.php?ssid=5768 | ||
| 402d | Secondary | Describe the skewness of a given box plot. | drfrost.org/explorer.php?ssid=5769 | ||
| 402e | Secondary | Determine skewness of a data set by comparing its mean, median and mode. | drfrost.org/explorer.php?ssid=5770 | ||
| 402f | Secondary | Compare two sets of data by considering their skewness. | drfrost.org/explorer.php?ssid=5771 | ||
| 403 | Secondary | Exam Practice: Comparing data sets using different representations | drfrost.org/explorer.php?ssid=4310 | E403 | |
| 403a | Secondary | Compare two data sets, where one is represented in a diagram and the other as a set of summary statistics. | drfrost.org/explorer.php?ssid=5772 | ||
| 403b | Secondary | Compare two data sets, where each is represented with a different statistical diagram. | drfrost.org/explorer.php?ssid=5773 | ||
| 404 | Secondary | Exam Practice: Cavalieri's principle | drfrost.org/explorer.php?ssid=4311 | E404 | |
| 404a | Secondary | Apply Cavalieri's principle in 2D. | drfrost.org/explorer.php?ssid=5774 | ||
| 404b | Secondary | Apply Cavalieri's principle in 3D. | drfrost.org/explorer.php?ssid=5775 | ||
| 405 | Secondary | Exam Practice: Volume of a pyramid, cone or sphere | drfrost.org/explorer.php?ssid=115 | https://www.youtube-nocookie.com/embed/TNnauy1E0gw | E405 |
| 405a | Secondary | Calculate the volume of a pyramid. | drfrost.org/explorer.php?ssid=781 | https://www.youtube-nocookie.com/embed/X7OWPOii4Y8 | K662 |
| 405b | Secondary | Determine an unknown dimension of a pyramid given its volume. | drfrost.org/explorer.php?ssid=1529 | https://www.youtube-nocookie.com/embed/J6QOr7BVz0k | K725 |
| 405c | Secondary | Calculate the volume of a cone. | drfrost.org/explorer.php?ssid=1003 | https://www.youtube-nocookie.com/embed/EAX950Orq98 | K663 |
| 405d | Secondary | Determine the height of a cone given its volume. | drfrost.org/explorer.php?ssid=1006 | https://www.youtube-nocookie.com/embed/pkfs8H8E2Wo | K664 |
| 405e | Secondary | Determine the radius or diameter of a cone given its volume. | drfrost.org/explorer.php?ssid=1005 | https://www.youtube-nocookie.com/embed/QDMakCHENko | K665 |
| 405f | Secondary | Calculate the volume of a sphere. | drfrost.org/explorer.php?ssid=999 | https://www.youtube-nocookie.com/embed/-oYEaZtRY-E | K657 |
| 405g | Secondary | Determine the radius or diameter of a sphere given its volume. | drfrost.org/explorer.php?ssid=1002 | https://www.youtube-nocookie.com/embed/xK9xcPJjXJ8 | K659 |
| 405h | Secondary | Calculate the volume of a hemisphere. | drfrost.org/explorer.php?ssid=1000 | https://www.youtube-nocookie.com/embed/Tb6Gzf3rE58 | K658 |
| 405i | Secondary | Determine the radius or diameter of a hemisphere given its volume. | drfrost.org/explorer.php?ssid=1530 | K726 | |
| 405j | Secondary | Determine a density or mass using the volume of a pyramid, cone or sphere. | drfrost.org/explorer.php?ssid=5776 | ||
| 405k | Secondary | Form and solve equations in one variable where the volume of a pyramid or cone is given. | drfrost.org/explorer.php?ssid=5777 | ||
| 405l | Secondary | Determine the quantity of one solid that makes up the volume of another where at least one has a curved surface. | drfrost.org/explorer.php?ssid=8414 | ||
| 405m | Secondary | Form an expression for the volume of a pyramid, cone or sphere with algebraic lengths | drfrost.org/explorer.php?ssid=8576 | ||
| 405n | Secondary | Equate volumes of solids, where at least one has a curved surface, with all but one length known, to determine that length. | drfrost.org/explorer.php?ssid=5778 | ||
| 405o | Secondary | Equate volumes of solids, where at least one has a curved surface and there is a ratio between two lengths, to determine an unknown. | drfrost.org/explorer.php?ssid=5779 | ||
| 405p | Secondary | Equate volumes of solids, where at least one has a curved surface, involving algebraic lengths, to obtain an equation for one variable in terms of another. | drfrost.org/explorer.php?ssid=5780 | ||
| 405q | Secondary | Problem solve involving ratios and volumes of solids, where at least one has a curved surface, to find a length. | drfrost.org/explorer.php?ssid=5781 | ||
| 405r | Secondary | Determine the volume of a cone given its net. | drfrost.org/explorer.php?ssid=5782 | ||
| 405s | Secondary | Determine the volume inside one solid but outside another, where at least one has a curved surface. | drfrost.org/explorer.php?ssid=5783 | ||
| 406 | Secondary | Exam Practice: Surface area of a cone or sphere/hemisphere | drfrost.org/explorer.php?ssid=116 | E406 | |
| 406a | Secondary | Calculate the surface area of a square-based pyramid given the side length of the base and the altitude of the lateral face. | drfrost.org/explorer.php?ssid=8502 | ||
| 406b | Secondary | Calculate the surface area of a square-based pyramid given the side length of the base and the slant height. | drfrost.org/explorer.php?ssid=8503 | ||
| 406c | Secondary | Calculate the surface area of a square-based pyramid given the side length of the base and the vertical height. | drfrost.org/explorer.php?ssid=8504 | ||
| 406d | Secondary | Determine the surface area of a cone given the slanted height. | drfrost.org/explorer.php?ssid=1010 | https://www.youtube-nocookie.com/embed/Ygc3occoSck | K667 |
| 406e | Secondary | Calculate the surface area of a cone given the perpendicular height. | drfrost.org/explorer.php?ssid=1011 | https://www.youtube-nocookie.com/embed/KyeHi2WinJY | K666 |
| 406f | Secondary | Determine the slanted height of a cone given the surface area. | drfrost.org/explorer.php?ssid=8279 | ||
| 406g | Secondary | Determine the radius of a cone given the surface area. | drfrost.org/explorer.php?ssid=8280 | ||
| 406h | Secondary | Determine the perpendicular height of a cone given the surface area. | drfrost.org/explorer.php?ssid=8281 | ||
| 406i | Secondary | Determine the surface area of a cone given the volume. | drfrost.org/explorer.php?ssid=5788 | ||
| 406j | Secondary | Determine the volume of a cone given the surface area. | drfrost.org/explorer.php?ssid=5789 | ||
| 406k | Secondary | Calculate the surface area of a sphere. | drfrost.org/explorer.php?ssid=1007 | https://www.youtube-nocookie.com/embed/hG2TpAew2Co | K660 |
| 406l | Secondary | Calculate the surface area of a hemisphere. | drfrost.org/explorer.php?ssid=1424 | https://www.youtube-nocookie.com/embed/OZtmPxtXhX8 | K661 |
| 406m | Secondary | Determine the radius of a sphere given its surface area. | drfrost.org/explorer.php?ssid=1532 | K727 | |
| 406n | Secondary | Determine the radius of a hemisphere given its surface area. | drfrost.org/explorer.php?ssid=1531 | K728 | |
| 406o | Secondary | Determine the surface area of a sphere given its volume, or vice versa. | drfrost.org/explorer.php?ssid=5786 | ||
| 406p | Secondary | Determine the surface area of a hemisphere or quarter sphere given its volume. | drfrost.org/explorer.php?ssid=5787 | ||
| 406q | Secondary | Determine the surface area of a compound solid with curved faces. | drfrost.org/explorer.php?ssid=5784 | ||
| 406r | Secondary | Equate the surface area of solids, with all but one length known, to determine that length. | drfrost.org/explorer.php?ssid=5785 | ||
| 406s | Secondary | Equate the surface area of solids, involving algebraic lengths, to obtain an equation for one variable in terms of another. | drfrost.org/explorer.php?ssid=5790 | ||
| 407 | Secondary | Exam Practice: Volume of more complex compound 3D shapes | drfrost.org/explorer.php?ssid=117 | https://www.youtube-nocookie.com/embed/z5OOZNcQqeA | E407 |
| 407a | Secondary | Calculate the volume of a compound solid comprising of a cylinder and a cuboid. | drfrost.org/explorer.php?ssid=5791 | ||
| 407b | Secondary | Calculate the volume of a compound solid comprising of a pyramid and a cuboid. | drfrost.org/explorer.php?ssid=5792 | ||
| 407c | Secondary | Calculate the volume of a frustum of a cone or pyramid. | drfrost.org/explorer.php?ssid=1009 | https://www.youtube-nocookie.com/embed/0ihDuFhSc8M | K668 |
| 407d | Secondary | Calculate the volume of a compound solid comprising of a cone and a hemisphere. | drfrost.org/explorer.php?ssid=1795 | ||
| 407e | Secondary | Calculate the volume of a compound solid comprising of a cylinder and a hemisphere. | drfrost.org/explorer.php?ssid=5793 | ||
| 407f | Secondary | Calculate the volume of a compound solid comprising of a cylinder and a cone. | drfrost.org/explorer.php?ssid=5794 | ||
| 407g | Secondary | Find a the missing dimension in a compound solid where at least one of the parts has a curve surface and the total volume is given. | drfrost.org/explorer.php?ssid=8580 | ||
| 407h | Secondary | Find a the missing dimension in a frustum given its volume. | drfrost.org/explorer.php?ssid=8581 | ||
| 407i | Secondary | Determine the volume of a compound solid where the volume of one solid is given. | drfrost.org/explorer.php?ssid=5795 | ||
| 407j | Secondary | Equate volumes of solids, where one is a frustum, involving algebraic lengths, to obtain an equation for one variable in terms of another. | drfrost.org/explorer.php?ssid=8818 | ||
| 407k | Secondary | Solve rates of flow problems involving compound solids. | drfrost.org/explorer.php?ssid=5796 | ||
| 408 | Secondary | Exam Practice: Surface area of more complex compound 3D shapes | drfrost.org/explorer.php?ssid=4312 | E408 | |
| 408a | Secondary | Calculate the surface area of a compound solid comprising of a pyramid and a cuboid. | drfrost.org/explorer.php?ssid=5797 | ||
| 408b | Secondary | Calculate the surface area of a frustum of a cone. | drfrost.org/explorer.php?ssid=5798 | ||
| 408c | Secondary | Calculate the surface area of a compound solid comprising of a cone and a hemisphere. | drfrost.org/explorer.php?ssid=5799 | ||
| 408d | Secondary | Calculate the surface area of a compound solid comprising of a cylinder and a hemisphere. | drfrost.org/explorer.php?ssid=5800 | ||
| 408e | Secondary | Calculate the surface area of a compound solid comprising of a cylinder and a cone. | drfrost.org/explorer.php?ssid=5801 | ||
| 408f | Secondary | Calculate the surface area of a compound solid comprising of a semi-cylinder and a cuboid. | drfrost.org/explorer.php?ssid=8769 | ||
| 408g | Secondary | Calculate the surface area of a compound solid comprising of a cylinder and a cube. | drfrost.org/explorer.php?ssid=5802 | ||
| 408h | Secondary | Determine the surface area of a compound solid where the volume of one solid is given. | drfrost.org/explorer.php?ssid=5803 | ||
| 408i | Secondary | Determine the surface area of a compound solid given its volume. | drfrost.org/explorer.php?ssid=5804 | ||
| 409 | Secondary | Exam Practice: 3D coordinates | drfrost.org/explorer.php?ssid=135 | E409 | |
| 409a | Secondary | Interpret a 3D coordinate in a modelled context. | drfrost.org/explorer.php?ssid=8768 | ||
| 409b | Secondary | Determine the 3D coordinate of a vertex on a cube or cuboid. | drfrost.org/explorer.php?ssid=5805 | ||
| 409c | Secondary | Determine the midpoint of two 3D coordinates or a coordinate given the midpoint and one of the points. | drfrost.org/explorer.php?ssid=5806 | ||
| 409d | Secondary | Determine the 3D coordinate of a midpoint of an edge or face on a cube or cuboid. | drfrost.org/explorer.php?ssid=5807 | ||
| 409e | Secondary | Determine a 3D coordinate on a pyramid or triangular prism. | drfrost.org/explorer.php?ssid=5808 | ||
| 409f | Secondary | Determine the coordinates of a point that shares a 3D line in a ratio. | drfrost.org/explorer.php?ssid=5809 | ||
| 410 | Secondary | Exam Practice: Pythagoras' theorem in 3D shapes | drfrost.org/explorer.php?ssid=138 | https://www.youtube-nocookie.com/embed/hh1jZKSM4UE | E410 |
| 410a | Secondary | Calculate the length of a space diagonal of a cuboid using Pythagoras' theorem. | drfrost.org/explorer.php?ssid=1194 | https://www.youtube-nocookie.com/embed/6nBYRRPhNN0 | K511 |
| 410b | Secondary | Calculate the length of a face diagonal of a cuboid using Pythagoras' theorem. | drfrost.org/explorer.php?ssid=1195 | https://www.youtube-nocookie.com/embed/G6LeXI_Qz80 | K510 |
| 410c | Secondary | Calculate the side length of a prism using Pythagoras' theorem. | drfrost.org/explorer.php?ssid=8513 | https://www.youtube-nocookie.com/embed/Ii-44Q4QdbA | |
| 410d | Secondary | Calculate the length of a face diagonal of a prism using Pythagoras' theorem. | drfrost.org/explorer.php?ssid=1671 | https://www.youtube-nocookie.com/embed/2NXUhWXza6g | |
| 410e | Secondary | Calculate the length of a space diagonal of a prism. | drfrost.org/explorer.php?ssid=5810 | https://www.youtube-nocookie.com/embed/bH1605jiujE | |
| 410f | Secondary | Determine the height of a square or rectangular based pyramid. | drfrost.org/explorer.php?ssid=5811 | https://www.youtube-nocookie.com/embed/tMFhvhq8Yqo | |
| 410g | Secondary | Determine a length of a sloped edge of a square or rectangular based pyramid. | drfrost.org/explorer.php?ssid=5812 | https://www.youtube-nocookie.com/embed/HKojY02PoQM | |
| 410h | Secondary | Determine the distance between two 3D coordinates. | drfrost.org/explorer.php?ssid=8767 | https://www.youtube-nocookie.com/embed/5KvNpD3BJwM | |
| 411 | Secondary | Exam Practice: Trigonometry in 3D shapes (right-angled only) | drfrost.org/explorer.php?ssid=576 | E411 | |
| 411a | Secondary | Calculate the angle between a line and a plane in a cuboid. | drfrost.org/explorer.php?ssid=1146 | https://www.youtube-nocookie.com/embed/totOyFxPp8I | K641 |
| 411b | Secondary | Calculate the angle between a sloped edge and the base of a pyramid. | drfrost.org/explorer.php?ssid=1306 | https://www.youtube-nocookie.com/embed/tBf5vHTJyhg | K642 |
| 411c | Secondary | Calculate the angle between two opposite slant edges of a pyramid. | drfrost.org/explorer.php?ssid=5813 | ||
| 411d | Secondary | Determine the angle between a line and a plane in a triangular prism using its lengths. | drfrost.org/explorer.php?ssid=5814 | ||
| 411e | Secondary | Determine the angle between a line and a plane in a triangular prism using another angle. | drfrost.org/explorer.php?ssid=5815 | ||
| 411f | Secondary | Calculate a length in a triangular prism using given angles and lengths. | drfrost.org/explorer.php?ssid=5816 | ||
| 411g | Secondary | Calculate an angle in a general prism using given angles and lengths. | drfrost.org/explorer.php?ssid=8485 | ||
| 411h | Secondary | Calculate a length in a general prism using given angles and lengths. | drfrost.org/explorer.php?ssid=8486 | ||
| 411i | Secondary | Calculate a length in a right-angled tetrahedron given angles and lengths. | drfrost.org/explorer.php?ssid=5817 | ||
| 411j | Secondary | Determine the angle between the sloped plane and the base of a right-angled tetrahedron. | drfrost.org/explorer.php?ssid=5818 | ||
| 411k | Secondary | Determine the angle between a sloped face and the base of a pyramid. | drfrost.org/explorer.php?ssid=5819 | ||
| 412 | Secondary | Exam Practice: Exact trigonometric values | drfrost.org/explorer.php?ssid=152 | https://www.youtube-nocookie.com/embed/7t_SK-wJfFI | E412 |
| 412a | Secondary | Know exact trigonometric ratios. | drfrost.org/explorer.php?ssid=822 | https://www.youtube-nocookie.com/embed/ojmP7GLS5Q4 | K488 |
| 412b | Secondary | Calculate the value of an expression using exact trigonometric ratios. | drfrost.org/explorer.php?ssid=8519 | ||
| 412c | Secondary | Calculate a length in a single right-angled triangle using exact trigonometric ratios. | drfrost.org/explorer.php?ssid=5820 | ||
| 412d | Secondary | Determine a length by using an exact trigonometric ratio combined with Pythagoras or further trigonometry. | drfrost.org/explorer.php?ssid=5821 | ||
| 412e | Secondary | Determine an area of composite shape involving a sector and a triangle using exact trigonometric values. | drfrost.org/explorer.php?ssid=8895 | ||
| 413 | Secondary | Exam Practice: Completing the square to put an expression in the form (x+a)^2 + b | drfrost.org/explorer.php?ssid=107 | https://www.youtube-nocookie.com/embed/sQooemMboCw | E413 |
| 413a | Secondary | Complete the square for quadratic expressions given in the form x^2 + bx + c where b is even. | drfrost.org/explorer.php?ssid=748 | https://www.youtube-nocookie.com/embed/XCqR1w9cou4 | K580 |
| 413b | Secondary | Complete the square for quadratic expressions given in the form x^2 + bx + c where b is odd. | drfrost.org/explorer.php?ssid=1753 | https://www.youtube-nocookie.com/embed/wM2qFqIaIB0 | |
| 413c | Secondary | Complete the square for quadratic expressions given in the form x^2 + bx + c where b is algebraic. | drfrost.org/explorer.php?ssid=1611 | https://www.youtube-nocookie.com/embed/lTn3AtSe2P0 | |
| 413d | Secondary | Complete the square for quadratic expressions given in the form x^2 + bx + c where b is a surd. | drfrost.org/explorer.php?ssid=5822 | https://www.youtube-nocookie.com/embed/lXdp7xECd8A | |
| 414 | Secondary | Exam Practice: Completing the square to put an expression in the form a(x+b)^2 + c | drfrost.org/explorer.php?ssid=509 | https://www.youtube-nocookie.com/embed/sQooemMboCw | E414 |
| 414a | Secondary | Complete the square for quadratic expressions given in the form ax^2 + bx + c, where a is positive. | drfrost.org/explorer.php?ssid=749 | https://www.youtube-nocookie.com/embed/fLj1cDKJsQM | K581 |
| 414b | Secondary | Complete the square for quadratic expressions given in the form ax^2 + bx + c, where a is negative. | drfrost.org/explorer.php?ssid=1015 | https://www.youtube-nocookie.com/embed/kUoStGhP5EY | K768 |
| 415 | Secondary | Exam Practice: Solving quadratic equations by completing the square | drfrost.org/explorer.php?ssid=110 | https://www.youtube-nocookie.com/embed/Ypo9PKsiD8k | E415 |
| 415a | Secondary | Solve a quadratic equation when given in completed square form. | drfrost.org/explorer.php?ssid=1720 | ||
| 415b | Secondary | Solve a quadratic equation by completing the square. | drfrost.org/explorer.php?ssid=8346 | ||
| 416 | Secondary | Exam Practice: Minimum or maximum point of a quadratic graph by completing the square | drfrost.org/explorer.php?ssid=106 | https://www.youtube-nocookie.com/embed/bIH8FVngi2U | E416 |
| 416a | Secondary | Determine the minimum point of a quadratic graph when given in completed square form. | drfrost.org/explorer.php?ssid=1714 | https://www.youtube-nocookie.com/embed/nfys3hXt7U8 | |
| 416b | Secondary | Determine the original quadratic function given the maximum or minimum point. | drfrost.org/explorer.php?ssid=1716 | https://www.youtube-nocookie.com/embed/lOHS0cj2CeQ | |
| 416c | Secondary | Determine the maximum point of a quadratic graph when given in completed square form. | drfrost.org/explorer.php?ssid=1715 | https://www.youtube-nocookie.com/embed/HXkW4WEZ9xQ | |
| 416d | Secondary | Determine the minimum point of a quadratic graph. | drfrost.org/explorer.php?ssid=772 | https://www.youtube-nocookie.com/embed/nBPgTjcMlrs | K582 |
| 416e | Secondary | Determine the maximum point of a quadratic graph. | drfrost.org/explorer.php?ssid=844 | https://www.youtube-nocookie.com/embed/mDm6fWmM9kQ | K583 |
| 416f | Secondary | Determine the equation of the line of symmetry for a quadratic graph by completing the square. | drfrost.org/explorer.php?ssid=1418 | https://www.youtube-nocookie.com/embed/NJDvbHdkuis | K584 |
| 416g | Secondary | Sketch a quadratic graph, including its intercepts and turning point by completing the square. | drfrost.org/explorer.php?ssid=1563 | https://www.youtube-nocookie.com/embed/R_P8XVmY4_4 | K743 |
| 416h | Secondary | Use information from a scenario, modelled as a quadratic curve to find the horizontal or vertical distance to the turning point. | drfrost.org/explorer.php?ssid=8596 | https://www.youtube-nocookie.com/embed/5GzCOPfJ8-U | |
| 416i | Secondary | Use information from a scenario, modelled as a quadratic curve with a given turning point, to determine the equation of the curve. | drfrost.org/explorer.php?ssid=8329 | https://www.youtube-nocookie.com/embed/a-quSH2ocZY | |
| 416j | Secondary | Use information from a scenario, modelled as a quadratic curve with a given turning point, to determine the width of the curve for a particular height. | drfrost.org/explorer.php?ssid=8319 | https://www.youtube-nocookie.com/embed/e2azk3-d1W0 | |
| 417 | Secondary | Exam Practice: Quadratic formula to solve quadratic equations | drfrost.org/explorer.php?ssid=109 | https://www.youtube-nocookie.com/embed/q0vb8ybymKI | E417 |
| 417a | Secondary | Solve a quadratic equation to get exact solutions. | drfrost.org/explorer.php?ssid=782 | https://www.youtube-nocookie.com/embed/m6BTCVHtKak | K619 |
| 417b | Secondary | Solve a quadratic equation using the quadratic formula to get numeric solutions. | drfrost.org/explorer.php?ssid=783 | https://www.youtube-nocookie.com/embed/m6BTCVHtKak | K620 |
| 417c | Secondary | Solve quadratic equations using the quadratic formula, requiring rearrangement. | drfrost.org/explorer.php?ssid=5823 | ||
| 417d | Secondary | Determine the original quadratic equation given use of the quadratic formula. | drfrost.org/explorer.php?ssid=5824 | ||
| 418 | Secondary | Exam Practice: Forming quadratic or non-linear equations from a given context (excluding probability problems) | drfrost.org/explorer.php?ssid=499 | E418 | |
| 418a | Secondary | Form a quadratic expression or equation from the area of a rectangle. | drfrost.org/explorer.php?ssid=1662 | https://www.youtube-nocookie.com/embed/YM39s9xWowk | |
| 418b | Secondary | Form a quadratic expression or equation using sides of a right-angled triangle where the area is known. | drfrost.org/explorer.php?ssid=5825 | ||
| 418c | Secondary | Form a quadratic expression or equation from the area of a more complex rectilinear shape. | drfrost.org/explorer.php?ssid=5826 | ||
| 418d | Secondary | Form a quadratic expression or equation from the area of a trapezium. | drfrost.org/explorer.php?ssid=1664 | https://www.youtube-nocookie.com/embed/xh6ZvbsG7mM | |
| 418e | Secondary | Form and solve a quadratic expression or equation for the area of a trapezium inside a rectangle. | drfrost.org/explorer.php?ssid=1657 | ||
| 418f | Secondary | Form and solve a quadratic equation by equating the area of two shapes. | drfrost.org/explorer.php?ssid=8347 | ||
| 418g | Secondary | Form and solve a quadratic equation using the sides of a right-angled triangle using Pythagoras' Theorem. | drfrost.org/explorer.php?ssid=1656 | ||
| 418h | Secondary | Form and solve a quadratic equation using sides of a right-angled triangle where a perimeter is known. | drfrost.org/explorer.php?ssid=5827 | ||
| 418i | Secondary | Form and solve a quadratic equation using the dimensions of a cuboid where the volume is known or where two volumes are equal. | drfrost.org/explorer.php?ssid=5828 | ||
| 418j | Secondary | Form and solve a quadratic equation using the dimensions of a cuboid where the surface area is known. | drfrost.org/explorer.php?ssid=5829 | ||
| 418k | Secondary | Form and solve a quadratic equation using the dimensions of a prism where the volume is known. | drfrost.org/explorer.php?ssid=5830 | ||
| 418l | Secondary | Form and solve a quadratic equation to determine the radius or diameter of a cylinder given its surface area. | drfrost.org/explorer.php?ssid=8403 | ||
| 418m | Secondary | Form and solve a quadratic equation to determine an unknown dimension of a semi-cylinder given its surface area. | drfrost.org/explorer.php?ssid=8275 | ||
| 418n | Secondary | Form and solve a quadratic equation using the dimensions of a cone where the surface area is known. | drfrost.org/explorer.php?ssid=8348 | ||
| 418o | Secondary | Form an expression for the volume of a cuboid given its net. | drfrost.org/explorer.php?ssid=8578 | ||
| 418p | Secondary | Write a non-linear expression in one variable by rearranging known relationships between two variables. | drfrost.org/explorer.php?ssid=8582 | ||
| 419 | A Level, Secondary | Exam Practice: Solving non-linear simultaneous equations/systems of equations by substitution | drfrost.org/explorer.php?ssid=83 | https://www.youtube-nocookie.com/embed/2_n1KKPzmm8 | E419 |
| 419a | A Level, Secondary | Use a given value of x or y to verify a point of intersection of two graphs with given equations. | drfrost.org/explorer.php?ssid=8896 | ||
| 419b | A Level, Secondary | Solve non-linear simultaneous equations/systems of equations where y is the subject of both equations, to give a quadratic equation to be solved. | drfrost.org/explorer.php?ssid=1085 | https://www.youtube-nocookie.com/embed/vpfpFrcBE8A | K570 |
| 419c | A Level, Secondary | Solve non-linear simultaneous equations/systems of equations by substitution, where one includes a product or division of two variables and the other has x or y as the subject. | drfrost.org/explorer.php?ssid=5833 | ||
| 419d | A Level, Secondary | Solve non-linear simultaneous equations/systems of equations with one equation given in the form x^2 + y^2 = a and the other where x or y is the subject. | drfrost.org/explorer.php?ssid=1159 | https://www.youtube-nocookie.com/embed/mcJCVfqGJR4 | K571 |
| 419e | A Level, Secondary | Solve simultaneous equations/systems of equations given in the form ax + by = c and x^2 + y^2 = d | drfrost.org/explorer.php?ssid=1304 | K775 | |
| 419f | A Level, Secondary | Solve simultaneous equations/systems of equations with variables in denominator of fractions e.g. \frac{x}{y}+\frac{2y}{x}=4 and y=x-2 | drfrost.org/explorer.php?ssid=5834 | ||
| 419g | A Level, Secondary | Form and solve non-linear simultaneous equations/systems of equations for a given context. | drfrost.org/explorer.php?ssid=8522 | ||
| 420 | Secondary | Exam Practice: Plotting simple cubic graphs | drfrost.org/explorer.php?ssid=4313 | E420 | |
| 420a | Secondary | Complete a table of values for a cubic graph. | drfrost.org/explorer.php?ssid=5835 | ||
| 420b | Secondary | Plot a cubic graph in the form y=ax^3 using a completed table of values. | drfrost.org/explorer.php?ssid=8912 | ||
| 420c | Secondary | Plot a cubic graph using a completed table of values with positive coefficient of x^3 | drfrost.org/explorer.php?ssid=5838 | ||
| 420d | Secondary | Plot a cubic graph using a completed table of values with negative coefficient of x^3 | drfrost.org/explorer.php?ssid=8913 | ||
| 420e | Secondary | Complete a table of values and plot the corresponding cubic graph. | drfrost.org/explorer.php?ssid=5839 | https://www.youtube-nocookie.com/embed/vA9zaxktXks | |
| 421 | Secondary | Exam Practice: Using graphs to find approximate solutions to quadratic equations | drfrost.org/explorer.php?ssid=99 | E421 | |
| 421a | Secondary | Determine the number of solutions to f(x)=g(x) given graphs of y=f(x) and y=g(x) | drfrost.org/explorer.php?ssid=8898 | ||
| 421b | Secondary | Determine the number of solutions to an equation that can be rearranged to f(x)=g(x) given graphs of y=f(x) and y=g(x) | drfrost.org/explorer.php?ssid=8899 | ||
| 421c | Secondary | Determine the range of values for k in f(x)=k given the graph of y=f(x) and the number of solutions. | drfrost.org/explorer.php?ssid=8900 | ||
| 421d | Secondary | Determine approximate solutions to a quadratic equation using a graph. | drfrost.org/explorer.php?ssid=1815 | ||
| 421e | Secondary | Solve simultaneous equations/systems of equations using graphical methods, where one is linear and the other is quadratic or a given curved graph. | drfrost.org/explorer.php?ssid=1037 | K374 | |
| 421f | Secondary | Draw a horizontal line to determine approximate solutions to a quadratic equation. | drfrost.org/explorer.php?ssid=1123 | https://www.youtube-nocookie.com/embed/EAInxAQnfdU | K608 |
| 421g | Secondary | Draw a non-horizontal line to determine approximate solutions to a quadratic equation. | drfrost.org/explorer.php?ssid=1324 | https://www.youtube-nocookie.com/embed/4ellJ6ww-yA | K609 |
| 421h | Secondary | Draw a line to determine approximate solutions to a quadratic equation requiring rearrangement. | drfrost.org/explorer.php?ssid=1325 | https://www.youtube-nocookie.com/embed/LYsEQfT9r5I | K610 |
| 421i | Secondary | Draw a straight line to determine approximate solutions to a cubic equation, which may require rearrangement. | drfrost.org/explorer.php?ssid=8332 | ||
| 421j | Secondary | Draw a straight line to determine approximate solutions to a more general equation, which may require rearrangement. | drfrost.org/explorer.php?ssid=8388 | ||
| 421k | Secondary | Use technology to solve a more general equation. | drfrost.org/explorer.php?ssid=8589 | ||
| 422 | Secondary | Exam Practice: Plotting reciprocal graphs | drfrost.org/explorer.php?ssid=4314 | E422 | |
| 422a | Secondary | Complete a table of values for a graph with equation y=\frac{a}{x} | drfrost.org/explorer.php?ssid=1136 | K612 | |
| 422b | Secondary | Complete a table of values for a graph with equation y=-\frac{a}{x} | drfrost.org/explorer.php?ssid=5840 | ||
| 422c | Secondary | Complete a table of values for a graph with equation y=\frac{a}{x^2} or y=-\frac{a}{x^2} | drfrost.org/explorer.php?ssid=5841 | ||
| 422d | Secondary | Plot a graph of y=\frac{a}{x} or y=-\frac{a}{x} using a completed table of values. | drfrost.org/explorer.php?ssid=5842 | ||
| 422e | Secondary | Plot a graph of y=\frac{a}{x^2} or y=-\frac{a}{x^2} using a completed table of values. | drfrost.org/explorer.php?ssid=8911 | ||
| 422f | Secondary | Complete a table of values and plot the corresponding reciprocal graph. | drfrost.org/explorer.php?ssid=5843 | ||
| 422g | Secondary | Determine the number of solutions to an equation involving a reciprocal term and a straight line or quadratic curve. | drfrost.org/explorer.php?ssid=8369 | ||
| 422h | Secondary | Plot a graph involving an equation with a mixture of reciprocal and linear terms. | drfrost.org/explorer.php?ssid=8520 | ||
| 423 | Secondary | Exam Practice: Plotting exponential graphs | drfrost.org/explorer.php?ssid=4315 | E423 | |
| 423a | Secondary | Complete a table of values for an exponential graph with equation y=a^x for positive integer a | drfrost.org/explorer.php?ssid=5844 | https://www.youtube-nocookie.com/embed/1PKpXMprkvE | |
| 423b | Secondary | Complete a table of values for an exponential graph with equation y=ka^x for positive integers a and k | drfrost.org/explorer.php?ssid=1573 | https://www.youtube-nocookie.com/embed/uCVUQ86crrc | K753 |
| 423c | Secondary | Complete a table of values for an exponential graph with equation y=a^{-x} for positive integer a | drfrost.org/explorer.php?ssid=5845 | https://www.youtube-nocookie.com/embed/dykRP_HTGbY | |
| 423d | Secondary | Complete a table of values for an exponential graph with equation y=a^{x} for fractional a | drfrost.org/explorer.php?ssid=8493 | https://www.youtube-nocookie.com/embed/5OqtEkUt5VA | |
| 423e | Secondary | Plot an exponential graph using a completed table of values. | drfrost.org/explorer.php?ssid=1135 | https://www.youtube-nocookie.com/embed/3QXx_wC-Wtk | K611 |
| 423f | Secondary | Plot exponential graphs of the form y=ka^x+b | drfrost.org/explorer.php?ssid=5846 | https://www.youtube-nocookie.com/embed/ijYKfB8fJtI | |
| 423g | Secondary | Complete a table of values and plot the corresponding exponential graph. | drfrost.org/explorer.php?ssid=5847 | https://www.youtube-nocookie.com/embed/MxE9DFkTw9w | |
| 424 | A Level, Secondary | Exam Practice: Properties of exponential graphs | drfrost.org/explorer.php?ssid=4316 | E424 | |
| 424a | A Level, Secondary | Identify the y-intercept of an exponential graph given in the form y=a^x | drfrost.org/explorer.php?ssid=5848 | https://www.youtube-nocookie.com/embed/07WJvc1k974 | |
| 424b | A Level, Secondary | Identify the y-intercept of an exponential graph given in the form y=ka^x | drfrost.org/explorer.php?ssid=5849 | https://www.youtube-nocookie.com/embed/Xf7YUl-Ky68 | |
| 424c | A Level, Secondary | Interpret the value of k in an exponential model y = ka^x in context. | drfrost.org/explorer.php?ssid=5850 | https://www.youtube-nocookie.com/embed/W56cM1XXXBY | |
| 424d | A Level, Secondary | Interpret the value of a in an exponential model y = ka^x in context. | drfrost.org/explorer.php?ssid=5851 | https://www.youtube-nocookie.com/embed/lp3M94ldMQE | |
| 424e | A Level, Secondary | Identify the y-intercept of an exponential graph given in the form y=ka^{x} +b or y=ka^{-x} + b | drfrost.org/explorer.php?ssid=5853 | https://www.youtube-nocookie.com/embed/tUg9HCrPZ38 | |
| 424f | A Level, Secondary | Identify asymptotes given an exponential graph. | drfrost.org/explorer.php?ssid=5854 | https://www.youtube-nocookie.com/embed/PMzJ1MX2Wxs | |
| 424g | A Level, Secondary | Identify asymptotes given the equation of an exponential graph of the form y=ka^x + b for positive integer a | drfrost.org/explorer.php?ssid=5855 | https://www.youtube-nocookie.com/embed/1WffG2D3eWc | |
| 424h | A Level, Secondary | Identify asymptotes given the equation of an exponential graph of the form y=ka^{-x} + b | drfrost.org/explorer.php?ssid=8494 | https://www.youtube-nocookie.com/embed/BTR91ojS4zY | |
| 424i | A Level, Secondary | Identify asymptotes given the equation of an exponential graph of the form y=ka^x + b for fractional a | drfrost.org/explorer.php?ssid=8495 | https://www.youtube-nocookie.com/embed/uLE_-WLo2XM | |
| 425 | Secondary | Exam Practice: Determining the values of p and q in the exponential function y = pq^x | drfrost.org/explorer.php?ssid=100 | https://www.youtube-nocookie.com/embed/9cHBsfER4ik | E425 |
| 425a | Secondary | Determine the values of k and a in the exponential function y = ka^x | drfrost.org/explorer.php?ssid=1099 | https://www.youtube-nocookie.com/embed/wSsnrLZNT4I | K607 |
| 425b | Secondary | Use a graph to determine the function y = ka^x | drfrost.org/explorer.php?ssid=2097 | https://www.youtube-nocookie.com/embed/mAK4V8cI7Cc | |
| 425c | Secondary | Determine an exponential model y = ka^x from two data points to make a prediction. | drfrost.org/explorer.php?ssid=2182 | https://www.youtube-nocookie.com/embed/PBWM8YBBMiQ | |
| 425d | Secondary | Determine an exponential model y = ka^x +b from two data points to make a prediction. | drfrost.org/explorer.php?ssid=8318 | ||
| 426 | Secondary | Exam Practice: Recognising the shape of basic forms of cubic, reciprocal and exponential graphs based on their equations | drfrost.org/explorer.php?ssid=426 | https://www.youtube-nocookie.com/embed/FVfjEuLxe90 | E426 |
| 426a | Secondary | Sketch the basic quadratic (y=x^2), cubic (y=x^3), reciprocal (y=1/x) and exponential (y=a^x) graphs. | drfrost.org/explorer.php?ssid=5856 | ||
| 426b | Secondary | Recognise the shape of simple quadratic, cubic, reciprocal and exponential graphs. | drfrost.org/explorer.php?ssid=5857 | ||
| 426c | Secondary | Recognise graphs for directly proportional and inversely proportional relationships. | drfrost.org/explorer.php?ssid=2294 | ||
| 427 | Secondary | Exam Practice: Recognising the shape of more complex forms of quadratic, cubic, reciprocal and exponential graphs based on their equations | drfrost.org/explorer.php?ssid=4317 | E427 | |
| 427a | Secondary | Use the shape of more general linear, quadratic, cubic, reciprocal and exponential graphs and match to a given equation. | drfrost.org/explorer.php?ssid=1144 | https://www.youtube-nocookie.com/embed/TbZn2Lyewoc | K613 |
| 427b | Secondary | Identify a particular quadratic graph amongst other quadratic graphs. | drfrost.org/explorer.php?ssid=5858 | ||
| 427c | Secondary | Identify a particular cubic graph amongst other cubic graphs. | drfrost.org/explorer.php?ssid=5859 | ||
| 427d | Secondary | Identify a particular reciprocal graph amongst other reciprocal graphs. | drfrost.org/explorer.php?ssid=5860 | ||
| 427e | Secondary | Identify a particular exponential graph amongst other exponential graphs. | drfrost.org/explorer.php?ssid=5861 | ||
| 428 | A Level | Exam Practice: Choosing a model given the shape of data | drfrost.org/explorer.php?ssid=4318 | E428 | |
| 428a | A Level | Decide between a linear, quadratic and exponential model based on the shape of bivariate data. | drfrost.org/explorer.php?ssid=5862 | ||
| 428b | A Level | Informally assess the suitability of a linear, quadratic or exponential model based on the (absolute) residuals. | drfrost.org/explorer.php?ssid=5863 | ||
| 428c | A Level | Linearise a graph showing a directly proportional relationship. | drfrost.org/explorer.php?ssid=5864 | ||
| 429 | Secondary | Exam Practice: Angles in quadrants | drfrost.org/explorer.php?ssid=4319 | E429 | |
| 429a | Secondary | Identify the initial and terminal side of an angle. | drfrost.org/explorer.php?ssid=5865 | ||
| 429b | Secondary | Calculate the angle between the initial and terminal sides for an angle in the standard position. | drfrost.org/explorer.php?ssid=5866 | ||
| 429c | Secondary | Identify coterminal angles. | drfrost.org/explorer.php?ssid=5867 | ||
| 429d | Secondary | Calculate the reference angle for an angle between 0 and 360 degrees. | drfrost.org/explorer.php?ssid=5868 | ||
| 429e | Secondary | Calculate the reference angle for an angle above 360 degrees. | drfrost.org/explorer.php?ssid=5869 | ||
| 430 | Secondary | Exam Practice: Using the unit circle to find trigonometric values above 90^{\circ} | drfrost.org/explorer.php?ssid=4320 | E430 | |
| 430a | Secondary | Use the unit circle to find \sin, \cos or \tan of a multiple of 90^{\circ} | drfrost.org/explorer.php?ssid=5870 | ||
| 430b | Secondary | Use the unit circle to find \sin, \cos or \tan of a value in the second quadrant. | drfrost.org/explorer.php?ssid=5871 | ||
| 430c | Secondary | Use the unit circle to find \sin, \cos or \tan of a value in the third or fourth quadrant. | drfrost.org/explorer.php?ssid=5872 | ||
| 430d | Secondary | Use the unit circle to find \sin, \cos or \tan of angles above 360 degrees. | drfrost.org/explorer.php?ssid=5873 | ||
| 431 | Secondary | Exam Practice: Plotting and recognising graphs of trigonometric functions | drfrost.org/explorer.php?ssid=98 | https://www.youtube-nocookie.com/embed/1rghC25XnHY | E431 |
| 431a | Secondary | Plot and recognise graphs of y = \sin(x) and y = \cos(x) in degrees. | drfrost.org/explorer.php?ssid=1143 | https://www.youtube-nocookie.com/embed/7hpTzJiEnMo | K621 |
| 431b | Secondary | Plot and recognise the graph y = \tan(x) in degrees. | drfrost.org/explorer.php?ssid=2171 | https://www.youtube-nocookie.com/embed/7jkrFvSy2oQ | |
| 431c | Secondary | Appreciate the relationship between \sin and \cos for complementary angles. | drfrost.org/explorer.php?ssid=2345 | https://www.youtube-nocookie.com/embed/wNLl4Fx0igM | |
| 431d | Secondary | Understand the amplitude, period and midline of a trigonometric function using its graph. | drfrost.org/explorer.php?ssid=2359 | https://www.youtube-nocookie.com/embed/EUT795ao_JI | |
| 432 | Secondary | Exam Practice: Function notation and calculating outputs or inputs or a function | drfrost.org/explorer.php?ssid=392 | https://www.youtube-nocookie.com/embed/F8g8urV7ZZw | E432 |
| 432a | Secondary | Calculate the output of a function, given the input. | drfrost.org/explorer.php?ssid=832 | https://www.youtube-nocookie.com/embed/RoOwcP6UxpM | K590 |
| 432b | Secondary | Determine an output for a given scenario modelled as a quadratic function. | drfrost.org/explorer.php?ssid=8819 | ||
| 432c | Secondary | Write a function that represents a function machine. | drfrost.org/explorer.php?ssid=2286 | ||
| 432d | Secondary | Determine the input of a linear function, given the output. | drfrost.org/explorer.php?ssid=1801 | ||
| 432e | Secondary | Determine the input of a non-linear function, given the output. | drfrost.org/explorer.php?ssid=2301 | ||
| 432f | Secondary | Determine an expression using transformations of a function with a single variable input. | drfrost.org/explorer.php?ssid=2303 | ||
| 432g | Secondary | Determine an expression for f(...) with more general algebraic inputs. | drfrost.org/explorer.php?ssid=2302 | ||
| 432h | Secondary | Determine an expression for a combination of f(...) with different inputs. | drfrost.org/explorer.php?ssid=2312 | ||
| 432i | Secondary | Determine an expression using transformations of a function with different inputs. | drfrost.org/explorer.php?ssid=2313 | ||
| 432j | Secondary | Solve equations given in the form f(...) = k for more general algebraic inputs. | drfrost.org/explorer.php?ssid=2321 | ||
| 432k | Secondary | Determine an input for a given scenario modelled as a quadratic function. | drfrost.org/explorer.php?ssid=8820 | ||
| 432l | Secondary | Solve equations where the output of two functions is equated, leading to a linear equation. | drfrost.org/explorer.php?ssid=2327 | ||
| 432m | Secondary | Solve equations where the output of two functions is equated, leading to a quadratic equation. | drfrost.org/explorer.php?ssid=2328 | ||
| 433 | Secondary | Exam Practice: Graph representation of functions | drfrost.org/explorer.php?ssid=539 | E433 | |
| 433a | Secondary | Determine the output of a function using a graph. | drfrost.org/explorer.php?ssid=2102 | ||
| 433b | Secondary | Determine the roots of a function using a graph. | drfrost.org/explorer.php?ssid=8389 | ||
| 433c | Secondary | Solve f(x) = k, for some fixed k, using a graph. | drfrost.org/explorer.php?ssid=2103 | ||
| 433d | Secondary | Solve f(x) = k, using a graph, where k must be calculated. | drfrost.org/explorer.php?ssid=8390 | ||
| 433e | Secondary | Solve f(x) = g(x), using a graph, where y=g(x) must be drawn. | drfrost.org/explorer.php?ssid=8391 | ||
| 433f | Secondary | Determine the range of values of k for which f(x) = k has a particular number of solutions. | drfrost.org/explorer.php?ssid=2104 | ||
| 434 | Secondary | Exam Practice: Solving simple trigonometric equations, e.g. \sin(x) = k, using a graph | drfrost.org/explorer.php?ssid=386 | E434 | |
| 434a | Secondary | Recognise the values for which the output of a trigonometric function is equal. | drfrost.org/explorer.php?ssid=8415 | ||
| 434b | Secondary | Recognise the values for which the output of a trigonometric function is equal but one term is negated. | drfrost.org/explorer.php?ssid=8416 | ||
| 434c | Secondary | Determine the number of solutions of a trigonometric equation, in the form \sin(x) = k or \cos(x) = k. | drfrost.org/explorer.php?ssid=2098 | ||
| 434d | Secondary | Use a graph to solve equations given in the form \sin(x) = k or \cos(x) = k in the range 0 to 360 degrees. | drfrost.org/explorer.php?ssid=2099 | ||
| 434e | Secondary | Use a graph to solve equations given in the form \tan(x) = k in the range 0 to 360 degrees. | drfrost.org/explorer.php?ssid=2370 | ||
| 434f | Secondary | Use a graph to solve equations given in the form \sin(x) = k or \cos(x) = k in a range greater than 0 to 360 degrees. | drfrost.org/explorer.php?ssid=1447 | K622 | |
| 434g | Secondary | Use a graph to solve equations given in the form \tan(x) = k in a range greater than 0 to 360 degrees. | drfrost.org/explorer.php?ssid=2371 | ||
| 434h | Secondary | Use a graph to solve equations given in the form \tan(x) = k in a range greater than 0 to 360 degree, given only a graph for 0 to 360 degrees. | drfrost.org/explorer.php?ssid=2100 | ||
| 434i | Secondary | Solve equations given in the form \sin(x) = \sin(k) | drfrost.org/explorer.php?ssid=2101 | ||
| 434j | Secondary | Solve equations given in the form \sin(x) = -\sin(k) | drfrost.org/explorer.php?ssid=2160 | ||
| 434k | Secondary | Solve equations of the form \sin(x) = k or \cos(x) = k where evaluation of exact trig values is first required. | drfrost.org/explorer.php?ssid=8367 | ||
| 434l | Secondary | Determine the number of solutions of a more complex equation involving a trigonometric term. | drfrost.org/explorer.php?ssid=8368 | ||
| 435 | Secondary | Exam Practice: Composite functions (excluding exponentials and modulus) | drfrost.org/explorer.php?ssid=391 | https://www.youtube-nocookie.com/embed/7Ksdo3zA448 | E435 |
| 435a | Secondary | Calculate the numeric output of a composite function. | drfrost.org/explorer.php?ssid=1157 | https://www.youtube-nocookie.com/embed/Cz5LaMAcSZc | K595 |
| 435b | Secondary | Determine the algebraic output of a composite function where both functions are linear. | drfrost.org/explorer.php?ssid=1476 | K596 | |
| 435c | Secondary | Determine the algebraic output of a composite function where at least one function is quadratic. | drfrost.org/explorer.php?ssid=1774 | ||
| 435d | Secondary | Determine the algebraic output of a composite function for more general functions. | drfrost.org/explorer.php?ssid=5874 | ||
| 435e | Secondary | Identify the constituent functions that make up a composite function. | drfrost.org/explorer.php?ssid=5875 | ||
| 435f | Secondary | Solve an equation involving a composite function, leading to a linear equation. | drfrost.org/explorer.php?ssid=5876 | ||
| 435g | Secondary | Solve an equation involving a composite function, leading to a quadratic equation. | drfrost.org/explorer.php?ssid=5877 | ||
| 435h | Secondary | Determine ff(x) for functions given in the form f(x) = \frac{ax+b}{cx+d} | drfrost.org/explorer.php?ssid=5878 | ||
| 435i | Secondary | Determine the output of a composite function where at least one the functions are in graph form. | drfrost.org/explorer.php?ssid=8678 | ||
| 436 | Secondary | Exam Practice: Inverse functions (excluding exponentials and modulus) | drfrost.org/explorer.php?ssid=390 | https://www.youtube-nocookie.com/embed/TQNqHeAnfC8 | E436 |
| 436a | Secondary | Determine the inverse function for an expression with one operation. | drfrost.org/explorer.php?ssid=5879 | ||
| 436b | Secondary | Determine the inverse function for a linear expression. | drfrost.org/explorer.php?ssid=1073 | https://www.youtube-nocookie.com/embed/B6Q8yjOTHIQ | K592 |
| 436c | Secondary | Determine the value of inverse function for a given input. | drfrost.org/explorer.php?ssid=5880 | ||
| 436d | Secondary | Determine the inverse function where f(x) = \frac{ax+b}{cx+d} | drfrost.org/explorer.php?ssid=1179 | K887 | |
| 436e | Secondary | Determine the inverse function for a quadratic expression. | drfrost.org/explorer.php?ssid=1738 | ||
| 436f | Secondary | Determine the inverse function of a composite function. | drfrost.org/explorer.php?ssid=5881 | ||
| 436g | Secondary | Solve an equation involving both a composite and inverse function. | drfrost.org/explorer.php?ssid=5882 | ||
| 436h | Secondary | Simplify f^{-1} f(x) and understand self-inverse functions. | drfrost.org/explorer.php?ssid=5883 | ||
| 437 | Secondary | Exam Practice: Domain and range of simple functions | drfrost.org/explorer.php?ssid=424 | E437 | |
| 437a | Secondary | Determine the range of a linear function for a given domain. | drfrost.org/explorer.php?ssid=5884 | ||
| 437b | Secondary | Determine the range of values that should be excluded from the domain of a reciprocal function or root function. | drfrost.org/explorer.php?ssid=5885 | ||
| 437c | Secondary | Determine the range of a quadratic function in completed square form. | drfrost.org/explorer.php?ssid=5886 | ||
| 437d | Secondary | Determine the range of a quadratic function with a given domain. | drfrost.org/explorer.php?ssid=5887 | ||
| 437e | Secondary | Determine the domain or range of a function in graph form. | drfrost.org/explorer.php?ssid=5888 | ||
| 437f | Secondary | Determine the domain of a function for a given range. | drfrost.org/explorer.php?ssid=8396 | ||
| 438 | Secondary | Exam Practice: Properties of functions | drfrost.org/explorer.php?ssid=4321 | E438 | |
| 438a | Secondary | Recognise odd functions and even functions from their graphs. | drfrost.org/explorer.php?ssid=5889 | ||
| 438b | Secondary | Determine if a function is odd, even or neither from its algebraic definition. | drfrost.org/explorer.php?ssid=5890 | ||
| 438c | Secondary | Recognise periodic functions from their graphs. | drfrost.org/explorer.php?ssid=5891 | ||
| 439 | Secondary | Exam Practice: Trial and improvement to approximate a solution to an equation | drfrost.org/explorer.php?ssid=352 | E439 | |
| 439a | Secondary | Use trial and improvement to approximate a solution to an equation given in the form f(x)=k | drfrost.org/explorer.php?ssid=5892 | ||
| 439b | Secondary | Use trial and improvement to approximate a solution to an equation formed from a given context. | drfrost.org/explorer.php?ssid=5893 | ||
| 440 | Secondary | Exam Practice: General iterative processes | drfrost.org/explorer.php?ssid=4322 | E440 | |
| 440a | Secondary | Use a general iterative formula given an initial value. | drfrost.org/explorer.php?ssid=5894 | ||
| 440b | Secondary | Write an iterative formula from a given context. | drfrost.org/explorer.php?ssid=5895 | ||
| 440c | Secondary | Use an iterative formula to generate a periodic sequence and solve problems using the periodicity. | drfrost.org/explorer.php?ssid=5896 | ||
| 440d | Secondary | Determine an unknown in an iterative formula using two given values. | drfrost.org/explorer.php?ssid=5897 | ||
| 441 | Secondary | Exam Practice: Fixed point iteration to approximate a solution to an equation | drfrost.org/explorer.php?ssid=393 | E441 | |
| 441a | Secondary | Rearrange an equation into the form x = g(x) ('fixed point iteration') for subsequent use in an iterative method. | drfrost.org/explorer.php?ssid=5898 | ||
| 441b | Secondary | Appreciate the significance of a sign change in identifying an interval for the root of an equation. | drfrost.org/explorer.php?ssid=5899 | ||
| 441c | Secondary | Approximate a solution to an equation using (fixed point) iteration. | drfrost.org/explorer.php?ssid=1147 | K589 | |
| 442 | Secondary | Exam Practice: Circle theorems | drfrost.org/explorer.php?ssid=129 | https://www.youtube-nocookie.com/embed/3XCiG7Rp4dk | E442 |
| 442a | Secondary | Know that the angle at the centre is twice the angle at the circumference. | drfrost.org/explorer.php?ssid=677 | https://www.youtube-nocookie.com/embed/mRs1_u6yCsg | K645 |
| 442b | Secondary | Know that angles in the same segment are equal. | drfrost.org/explorer.php?ssid=693 | https://www.youtube-nocookie.com/embed/jNuG1-wTPdc | K646 |
| 442c | Secondary | Know that the angle in a semicircle is 90 degrees. | drfrost.org/explorer.php?ssid=694 | https://www.youtube-nocookie.com/embed/ldBN402lMd4 | K643 |
| 442d | Secondary | Know that opposite angles in a cyclic quadrilateral add to 180. | drfrost.org/explorer.php?ssid=695 | https://www.youtube-nocookie.com/embed/nfAFJ58EGiA | K647 |
| 442e | Secondary | Know that the angle between a tangent and the radius at the point of contact is 90. | drfrost.org/explorer.php?ssid=696 | https://www.youtube-nocookie.com/embed/CV1d6vvRDcE | K644 |
| 442f | Secondary | Know that the angle between the tangent and a chord is equal to the angle in the alternate segment (alternate segment theorem / tangent-chord theorem). | drfrost.org/explorer.php?ssid=697 | https://www.youtube-nocookie.com/embed/5WsiIgooaz4 | K648 |
| 442g | Secondary | Know that tangents which meet at the same point are equal in length (possibly involving other circle theorems). | drfrost.org/explorer.php?ssid=1697 | https://www.youtube-nocookie.com/embed/3QB9T_ePanQ | |
| 442h | Secondary | Use Pythagoras' theorem alongside circle theorems. | drfrost.org/explorer.php?ssid=1562 | https://www.youtube-nocookie.com/embed/tdegfy46xpo | K744 |
| 442i | Secondary | Determine an angle in an arrowhead centred at the circle centre. | drfrost.org/explorer.php?ssid=2221 | https://www.youtube-nocookie.com/embed/FKBEl6CiTg8 | |
| 442j | Secondary | Use the theorems: angle at the centre is double the angle at the circumference and the radii of a circle are equal in length. | drfrost.org/explorer.php?ssid=1693 | https://www.youtube-nocookie.com/embed/L78RUzfmQxY | |
| 442k | Secondary | Use the theorems: the angle between tangent and radius is 90 and radii of a circle are equal in length. | drfrost.org/explorer.php?ssid=2026 | https://www.youtube-nocookie.com/embed/gH2_5WLdEoM | |
| 442l | Secondary | Use the theorems: the angle at the centre is double the angle at circumference and the angle between a radius and a tangent is 90, using a quadrilateral inside the circle. | drfrost.org/explorer.php?ssid=2030 | https://www.youtube-nocookie.com/embed/GKQ2bFb_Q2o | |
| 442m | Secondary | Use the theorems: the angle at the centre is double the angle at the circumference and the angle between a radius and a tangent is 90, using a quadrilateral outside the circle. | drfrost.org/explorer.php?ssid=2040 | https://www.youtube-nocookie.com/embed/SQbL3NoF4Oc | |
| 442n | Secondary | Use the theorems: the angle at the centre is double the angle at the circumference and opposite angles in a cyclic quadrilateral add to 180. | drfrost.org/explorer.php?ssid=2050 | https://www.youtube-nocookie.com/embed/-qVIWB5Lzwk | |
| 442o | Secondary | Use the theorems: angles in same segment are equal and an angle in a semicircle is 90. | drfrost.org/explorer.php?ssid=2053 | https://www.youtube-nocookie.com/embed/Hw6LrhtrLCI | |
| 442p | Secondary | Use the theorems: opposite angles in a cyclic quadrilateral add to 180 and an angle in a semicircle is 90. | drfrost.org/explorer.php?ssid=2070 | https://www.youtube-nocookie.com/embed/kvMAOvCIySo | |
| 442q | Secondary | Use the theorems: the angle at the centre is double the angle at the circumference and the alternate segment theorem. | drfrost.org/explorer.php?ssid=2079 | https://www.youtube-nocookie.com/embed/kMA0UGf310Q | |
| 442r | Secondary | Use the theorems: the angle between a radius and a tangent is 90 and the alternate segment theorem. | drfrost.org/explorer.php?ssid=2091 | https://www.youtube-nocookie.com/embed/5TMcJdy8DC0 | |
| 442s | Secondary | Use the theorems: opposite angles of cyclic quadrilateral add to 180 and the alternate segment theorem. | drfrost.org/explorer.php?ssid=2092 | https://www.youtube-nocookie.com/embed/h0y3giHUfic | |
| 442t | Secondary | Use the theorems: opposite angles of cyclic quadrilateral add to 180 and the alternate segment theorem, with an isosceles triangle. | drfrost.org/explorer.php?ssid=2175 | https://www.youtube-nocookie.com/embed/EVNrv2zHxNM | |
| 442u | Secondary | Use parallel lines combined with the theorems: opposite angles in a cyclic quadrilateral add to 180 and alternate segment theorem. | drfrost.org/explorer.php?ssid=2245 | https://www.youtube-nocookie.com/embed/tz-dpqaIzjA | |
| 442v | Secondary | Solve problems involving triangles intersecting to form a cyclic quadrilateral. | drfrost.org/explorer.php?ssid=2252 | https://www.youtube-nocookie.com/embed/twizoKKSYtI | |
| 442w | Secondary | Form and solve linear equations using circle theorems. | drfrost.org/explorer.php?ssid=5900 | https://www.youtube-nocookie.com/embed/SdibMCZ2YlQ | |
| 442x | Secondary | Form and solve simultaneous equations using circle theorems. | drfrost.org/explorer.php?ssid=5901 | ||
| 442y | Secondary | Know that tangents from a point to the circle are equal in length. | drfrost.org/explorer.php?ssid=5902 | ||
| 442z | Secondary | Determine the angle between a tangent and an extended side. | drfrost.org/explorer.php?ssid=5903 | https://www.youtube-nocookie.com/embed/TQCk5MlhIUE | |
| 443 | Secondary | Exam Practice: Intersecting chord and intersecting secant theorems | drfrost.org/explorer.php?ssid=423 | https://www.youtube-nocookie.com/embed/Bua6NRzcF5Y | E443 |
| 443a | Secondary | Use the intersecting chord theorem to determine an unknown length. | drfrost.org/explorer.php?ssid=1461 | K669 | |
| 443b | Secondary | Use the intersecting chord theorem to determine the radius of a circle. | drfrost.org/explorer.php?ssid=5904 | ||
| 443c | Secondary | Use the intersecting secant theorem to form and solve a linear equation. | drfrost.org/explorer.php?ssid=1462 | K670 | |
| 443d | Secondary | Use the intersecting secant theorem to form and solve a quadratic equation. | drfrost.org/explorer.php?ssid=5905 | ||
| 443e | Secondary | Combine the intersecting chord and intersecting secant theorems. | drfrost.org/explorer.php?ssid=5906 | ||
| 444 | Secondary | Exam Practice: Proofs of circle theorems | drfrost.org/explorer.php?ssid=4323 | E444 | |
| 444a | Secondary | Prove that the angle at the centre of a circle is twice the angle at the circumference. | drfrost.org/explorer.php?ssid=5907 | ||
| 444b | Secondary | Prove that angles in the same segment are equal. | drfrost.org/explorer.php?ssid=5908 | ||
| 444c | Secondary | Prove that opposite angles of a cyclic quadrilateral add to 180^\circ | drfrost.org/explorer.php?ssid=5909 | ||
| 444d | Secondary | Prove the alternate segment theorem / tangent-chord theorem. | drfrost.org/explorer.php?ssid=5910 | ||
| 444e | Secondary | Prove the intersecting chord theorem. | drfrost.org/explorer.php?ssid=5911 | ||
| 444f | Secondary | Prove the intersecting secant theorem. | drfrost.org/explorer.php?ssid=5912 | ||
| 445 | A Level, Secondary | Exam Practice: Equations of perpendicular lines | drfrost.org/explorer.php?ssid=94 | https://www.youtube-nocookie.com/embed/zEHxOjR7mmQ | E445 |
| 445a | A Level, Secondary | Determine the gradient of a line perpendicular to another with a given gradient. | drfrost.org/explorer.php?ssid=1647 | ||
| 445b | A Level, Secondary | Determine whether two lines are perpendicular given their equations (no rearrangement). | drfrost.org/explorer.php?ssid=1379 | https://www.youtube-nocookie.com/embed/-pqSlgOR0lk | K576 |
| 445c | A Level, Secondary | Determine whether two lines are perpendicular given their equations (rearrangement required). | drfrost.org/explorer.php?ssid=1380 | https://www.youtube-nocookie.com/embed/ZowrDc5jZrg | K577 |
| 445d | A Level, Secondary | Determine whether two lines are perpendicular by calculating their gradients. | drfrost.org/explorer.php?ssid=8371 | ||
| 445e | A Level, Secondary | Find an equation of a line perpendicular to another that passes through a given point. | drfrost.org/explorer.php?ssid=737 | https://www.youtube-nocookie.com/embed/eC9uFJy84uw | K578 |
| 445f | A Level, Secondary | Find an equation of a line perpendicular to another that passes through a given point (rearrangement required). | drfrost.org/explorer.php?ssid=5913 | ||
| 445g | A Level, Secondary | Determine the equation of a line perpendicular to another line that passes through two given points. | drfrost.org/explorer.php?ssid=5914 | ||
| 445h | A Level, Secondary | Determine the point of intersection of a line with a given equation and its perpendicular with a given y-intercept. | drfrost.org/explorer.php?ssid=8365 | ||
| 445i | A Level, Secondary | Determine a missing coordinate on a line given another is perpendicular to it. | drfrost.org/explorer.php?ssid=8372 | ||
| 445j | A Level, Secondary | Determine a point on a line which is closest to another point. | drfrost.org/explorer.php?ssid=8366 | ||
| 445k | A Level, Secondary | Determine the equation of an altitude of a triangle. | drfrost.org/explorer.php?ssid=5915 | ||
| 445l | A Level, Secondary | Determine the equation of the perpendicular bisector of two points, or the diagonal of a kite given the other. | drfrost.org/explorer.php?ssid=5916 | ||
| 445m | A Level, Secondary | Solve problems involving the intersection of perpendicular lines with the coordinate axes. | drfrost.org/explorer.php?ssid=5917 | ||
| 445n | A Level, Secondary | Determine the equation of the diagonal of a kite given the coordinates of the vertices on the other diagonal. | drfrost.org/explorer.php?ssid=5918 | ||
| 445o | A Level, Secondary | Determine the coordinates of a point on a kite given one diagonal and another point. | drfrost.org/explorer.php?ssid=5919 | ||
| 445p | A Level, Secondary | Determine the area of a rectangle whose diagonal is a coordinate axis. | drfrost.org/explorer.php?ssid=5920 | ||
| 445q | A Level, Secondary | Show that points make geometric shapes when connected using gradients of parallel and perpendicular lines and their lengths. | drfrost.org/explorer.php?ssid=5921 | ||
| 445r | A Level, Secondary | Determine the area of a triangle given the coordinates of its three vertices, by finding the perpendicular to a line that goes through two of the vertices. | drfrost.org/explorer.php?ssid=5922 | ||
| 446 | Secondary | Exam Practice: Graphs of circles centred at the origin | drfrost.org/explorer.php?ssid=97 | https://www.youtube-nocookie.com/embed/kKBGlZ0lhNU | E446 |
| 446a | Secondary | Appreciate that a point on the circumference of a circle centred at the origin satisfies its equation. | drfrost.org/explorer.php?ssid=2200 | ||
| 446b | Secondary | Plot the graph of a circle centred at the origin. | drfrost.org/explorer.php?ssid=1098 | https://www.youtube-nocookie.com/embed/9m2IjCNw9XQ | K417 |
| 446c | Secondary | Determine the radius of a circle given its equation. | drfrost.org/explorer.php?ssid=1426 | https://www.youtube-nocookie.com/embed/fpX2t1P4U9I | K420 |
| 446d | Secondary | Determine the equation of a circle centred at the origin given its radius. | drfrost.org/explorer.php?ssid=1044 | https://www.youtube-nocookie.com/embed/c5JH6BVO_ro | K419 |
| 446e | Secondary | Determine the equation of a circle centred at the origin which is drawn. | drfrost.org/explorer.php?ssid=1042 | https://www.youtube-nocookie.com/embed/qc1cxIR4rPk | K418 |
| 446f | Secondary | Determine the equation of a circle centred at the origin, using a point given on the circumference. | drfrost.org/explorer.php?ssid=2205 | ||
| 446g | Secondary | Determine an area or circumference of a circle centred at the origin given its equation. | drfrost.org/explorer.php?ssid=2206 | ||
| 446h | Secondary | Determine the equation of a circle centred at the origin given its area or circumference. | drfrost.org/explorer.php?ssid=2207 | ||
| 446i | Secondary | Determine an area or perimeter of a portion of an annulus, given the equations of the circles centred at the origin. | drfrost.org/explorer.php?ssid=2210 | ||
| 446j | Secondary | Use trigonometry to solve problems involving unknown points on a circle centred at the origin. | drfrost.org/explorer.php?ssid=8661 | ||
| 447 | Secondary | Exam Practice: Equation of a tangent to a circle centred at the origin | drfrost.org/explorer.php?ssid=389 | https://www.youtube-nocookie.com/embed/N1j0BmTxwVM | E447 |
| 447a | Secondary | Determine the equation of a tangent to a circle centred at the origin. | drfrost.org/explorer.php?ssid=1404 | https://www.youtube-nocookie.com/embed/5nlVm8NXrTM | K579 |
| 447b | Secondary | Determine the x-intercept or y-intercept of a tangent to a circle centred at the origin. | drfrost.org/explorer.php?ssid=1977 | https://www.youtube-nocookie.com/embed/pCMQ-WgftWs | |
| 447c | Secondary | Determine the area of a triangle formed by a tangent to a circle centred at the origin. | drfrost.org/explorer.php?ssid=1978 | https://www.youtube-nocookie.com/embed/gWg3YgSdxEs | |
| 448 | A Level, Secondary | Exam Practice: Graph transformations of y = f(x+a) and y = f(x) + a | drfrost.org/explorer.php?ssid=95 | https://www.youtube-nocookie.com/embed/rZDKPySPHwM | E448 |
| 448a | A Level, Secondary | Sketch the graph y = f(x + a) given the graph of y = f(x) | drfrost.org/explorer.php?ssid=5923 | ||
| 448b | A Level, Secondary | Sketch the graph y = f(x) + a given the graph of y = f(x) | drfrost.org/explorer.php?ssid=5924 | ||
| 448c | A Level, Secondary | Understand the effect on a point under the transformation y = f(x + a) | drfrost.org/explorer.php?ssid=779 | https://www.youtube-nocookie.com/embed/tVeSBMpVIOk | K585 |
| 448d | A Level, Secondary | Understand the effect on a point under the transformation y = f(x) + a | drfrost.org/explorer.php?ssid=780 | https://www.youtube-nocookie.com/embed/Jr_gbVwmReY | K586 |
| 448e | A Level, Secondary | Apply transformations y=f(x+a) and y=f(x)+a in a table. | drfrost.org/explorer.php?ssid=1769 | ||
| 448f | A Level, Secondary | Sketch the graphs of trigonometric functions y=\sin(x)+a or y=\sin(x+a) | drfrost.org/explorer.php?ssid=2353 | ||
| 448g | A Level, Secondary | Determine the equation in f(x) after a translation of a given graph to f(x)+a and f(x+a) | drfrost.org/explorer.php?ssid=2352 | ||
| 448h | A Level, Secondary | Determine the new equation of a function after a translation by \begin{pmatrix}a\\0\end{pmatrix} or \begin{pmatrix}0\\a\end{pmatrix} | drfrost.org/explorer.php?ssid=2333 | ||
| 449 | A Level, Secondary | Exam Practice: Graph transformations of y = f(-x) and y = -f(x) | drfrost.org/explorer.php?ssid=544 | E449 | |
| 449a | A Level, Secondary | Sketch a graph of y = -f(x) given the graph of y = f(x) | drfrost.org/explorer.php?ssid=2143 | ||
| 449b | A Level, Secondary | Sketch a graph of y = f(-x) given the graph of y = f(x) | drfrost.org/explorer.php?ssid=2163 | ||
| 449c | A Level, Secondary | Understand the effect on a point under the transformation y = -f(x) | drfrost.org/explorer.php?ssid=968 | https://www.youtube-nocookie.com/embed/Da_56RdYKGw | K587 |
| 449d | A Level, Secondary | Understand the effect on a point under the transformation y = f(-x) | drfrost.org/explorer.php?ssid=2165 | ||
| 449e | A Level, Secondary | Sketch the graphs of trigonometric functions y=-\sin(x) or y=\sin(-x) | drfrost.org/explorer.php?ssid=2261 | ||
| 449f | A Level, Secondary | Determine the equation in f(x) notation after a reflection of a given graph in one axis only. | drfrost.org/explorer.php?ssid=2275 | ||
| 449g | A Level, Secondary | Determine the new equation of a function after a reflection in one axis only. | drfrost.org/explorer.php?ssid=5925 | ||
| 450 | A Level, Secondary | Exam Practice: Graph transformations of y = f(ax) and y = af(x) (dilations) | drfrost.org/explorer.php?ssid=543 | E450 | |
| 450a | A Level, Secondary | Sketch a graph of y = af(x) given the graph of y = f(x), where a>0 | drfrost.org/explorer.php?ssid=2167 | ||
| 450b | A Level, Secondary | Sketch a graph of y = f(ax) given the graph of y = f(x), where a>0 | drfrost.org/explorer.php?ssid=2166 | ||
| 450c | A Level, Secondary | Sketch a graph of y = af(x) given the graph of y = f(x), where a<0 | drfrost.org/explorer.php?ssid=2259 | ||
| 450d | A Level, Secondary | Sketch a graph of y = f(ax) given the graph of y = f(x), where a<0 | drfrost.org/explorer.php?ssid=2260 | ||
| 450e | A Level, Secondary | Understand the effect on a point under the transformation y = af(x) | drfrost.org/explorer.php?ssid=2183 | ||
| 450f | A Level, Secondary | Understand the effect on a point under the transformation y = f(ax) | drfrost.org/explorer.php?ssid=2184 | ||
| 450g | A Level, Secondary | Apply transformations y=f(ax) and y=af(x) in a table. | drfrost.org/explorer.php?ssid=5926 | ||
| 450h | A Level, Secondary | Sketch the graphs of trigonometric functions y = a\sin(x) or y = \sin(ax) | drfrost.org/explorer.php?ssid=2188 | ||
| 450i | A Level, Secondary | Determine the new equation in f(x) notation after the transformation of a given graph to y=af(x) or y=f(ax) | drfrost.org/explorer.php?ssid=2233 | ||
| 450j | A Level, Secondary | Determine the new equation of a function after a scaling transformation y=f(ax) or y=af(x) | drfrost.org/explorer.php?ssid=5927 | ||
| 450k | A Level, Secondary | Determine a vertical scaling on an exponential graph equivalent to a horizontal translation, or vice versa. | drfrost.org/explorer.php?ssid=8564 | https://www.youtube-nocookie.com/embed/bzhZ5dIjPEo | |
| 451 | A Level, Secondary | Exam Practice: Combinations of graph transformations | drfrost.org/explorer.php?ssid=4324 | E451 | |
| 451a | A Level, Secondary | Sketch the graph y = f(x + a) + b given the graph of y = f(x) | drfrost.org/explorer.php?ssid=2298 | ||
| 451b | A Level, Secondary | Sketch the graph y = af(bx) given the graph of y = f(x) | drfrost.org/explorer.php?ssid=5928 | ||
| 451c | A Level, Secondary | Sketch the graph af(x)+b, af(x+b) and f(ax)+b given the graph of y = f(x) | drfrost.org/explorer.php?ssid=2316 | ||
| 451d | A Level, Secondary | Sketch the graph of a trigonometric function given in the form y = \sin(x + a) + b | drfrost.org/explorer.php?ssid=1513 | K714 | |
| 451e | A Level, Secondary | Sketch the graph of a trigonometric function given in the form y = a\sin(bx) | drfrost.org/explorer.php?ssid=5929 | ||
| 451f | A Level, Secondary | Sketch the graph of a trigonometric function given in the form y = a\sin(x+b), y = a\sin(x)+b or y = \sin(ax)+b | drfrost.org/explorer.php?ssid=5930 | ||
| 451g | A Level, Secondary | Determine the constants of a trigonometric function given in the form y = a\sin(x+b), y =a\sin(bx)+c or y = a\sin(x+b) + c given its sketch. | drfrost.org/explorer.php?ssid=2199 | ||
| 451h | A Level, Secondary | Determine the equation in f(x) notation after a translation of a given graph to y = f(x + a) + b | drfrost.org/explorer.php?ssid=5931 | ||
| 451i | A Level, Secondary | Determine the equation in f(x) notation after the transformation of a given graph to y = af(bx) | drfrost.org/explorer.php?ssid=5932 | ||
| 451j | A Level, Secondary | Determine the equation in f(x) notation after the transformation of a given graph to y = af(x)+b, y = af(x+b) or y = f(ax)+b | drfrost.org/explorer.php?ssid=5933 | ||
| 451k | A Level, Secondary | Determine the new equation of a function after a translation by a given vector \begin{pmatrix}a\\b\end{pmatrix} | drfrost.org/explorer.php?ssid=5934 | ||
| 451l | A Level, Secondary | Determine the new equation of a function after transformations given in the form y = af(bx) | drfrost.org/explorer.php?ssid=5935 | ||
| 451m | A Level, Secondary | Determine the new equation of a function after a combination of transformations, y = af(x)+b, y = af(x+b) and y = f(ax)+b | drfrost.org/explorer.php?ssid=5936 | ||
| 452 | A Level, Secondary | Exam Practice: Graphs of root functions | drfrost.org/explorer.php?ssid=4325 | E452 | |
| 452a | A Level, Secondary | Sketch the graph of y=x^{1/2} or y=\sqrt{x} | drfrost.org/explorer.php?ssid=5937 | ||
| 452b | A Level, Secondary | Sketch the graph of y=ax^{1/2} or y=a\sqrt{x} | drfrost.org/explorer.php?ssid=5938 | ||
| 452c | A Level, Secondary | Sketch the graph of y=ax^{-1/2} or y=\frac{a}{\sqrt{x}} | drfrost.org/explorer.php?ssid=5939 | ||
| 452d | A Level, Secondary | Sketch a graph of y = a\sqrt{x+b} | drfrost.org/explorer.php?ssid=5940 | ||
| 452e | A Level, Secondary | Sketch a graph of y = a\sqrt[3]{x+b} | drfrost.org/explorer.php?ssid=5941 | ||
| 453 | Secondary | Exam Practice: Testing conjectures and identifying counterexamples | drfrost.org/explorer.php?ssid=101 | https://www.youtube-nocookie.com/embed/BW9oKyy3eEg | E453 |
| 453a | Secondary | Give a counterexample to show that a conjecture is false using properties of numbers. | drfrost.org/explorer.php?ssid=5942 | https://www.youtube-nocookie.com/embed/M4AT7zjlnXU | |
| 453b | Secondary | Determine which conjecture is disproved by a given counterexample. | drfrost.org/explorer.php?ssid=5943 | ||
| 453c | Secondary | Determine a counterexample by substitution into an algebraic expression. | drfrost.org/explorer.php?ssid=5944 | https://www.youtube-nocookie.com/embed/SQOD0mbiO4U | |
| 453d | Secondary | Consider the validity of more general algebraic statements, including constraints on the variables or relationships between expressions. | drfrost.org/explorer.php?ssid=5945 | https://www.youtube-nocookie.com/embed/SDz6dNCXce8 | |
| 454 | Secondary | Exam Practice: Algebraic proofs involving integers | drfrost.org/explorer.php?ssid=102 | https://www.youtube-nocookie.com/embed/cIiw609iT-Y | E454 |
| 454a | Secondary | Identify expressions that represent a multiple of an integer. | drfrost.org/explorer.php?ssid=1148 | https://www.youtube-nocookie.com/embed/RGFF9zafkh4 | K598 |
| 454b | Secondary | Identify expressions that represent odd/even integers. | drfrost.org/explorer.php?ssid=1150 | https://www.youtube-nocookie.com/embed/nvZdPltdYqc | K597 |
| 454c | Secondary | Prove that a given algebraic expression is always odd/even, requiring bracket expansion. | drfrost.org/explorer.php?ssid=8855 | ||
| 454d | Secondary | Prove that a given algebraic expression is always odd/even (no bracket expansion). | drfrost.org/explorer.php?ssid=1149 | https://www.youtube-nocookie.com/embed/iKuEN4TKEOQ | K601 |
| 454e | Secondary | Prove that a given algebraic expression is always a multiple of a number (no bracket expansion). | drfrost.org/explorer.php?ssid=2225 | https://www.youtube-nocookie.com/embed/S7ziBZ5Z8R8 | |
| 454f | Secondary | Prove that a given algebraic expression is always a multiple of a number, requiring bracket expansion. | drfrost.org/explorer.php?ssid=8856 | ||
| 454g | Secondary | Prove that a given algebraic expression is always something less or something more than a multiple of a number. | drfrost.org/explorer.php?ssid=8825 | ||
| 454h | Secondary | Use expressions for consecutive integers. | drfrost.org/explorer.php?ssid=1151 | https://www.youtube-nocookie.com/embed/GQxuEKksOp0 | K599 |
| 454i | Secondary | Prove that a sum of consecutive integers has some given property. | drfrost.org/explorer.php?ssid=2229 | https://www.youtube-nocookie.com/embed/XFdKCTywqnE | |
| 454j | Secondary | Prove that the sum or difference of the squares of consecutive integers has some given property. | drfrost.org/explorer.php?ssid=2235 | https://www.youtube-nocookie.com/embed/89VyWbwW6lc | |
| 454k | Secondary | Use expressions for consecutive odd/even integers. | drfrost.org/explorer.php?ssid=1152 | https://www.youtube-nocookie.com/embed/2foXLbkHDdw | K600 |
| 454l | Secondary | Prove that a sum of consecutive odd or even integers has some given property. | drfrost.org/explorer.php?ssid=2236 | https://www.youtube-nocookie.com/embed/czK5wn-ev8M | |
| 454m | Secondary | Prove that a sum of the squares of consecutive odd or even integers has some given property. | drfrost.org/explorer.php?ssid=2241 | https://www.youtube-nocookie.com/embed/8dW_9ea_F34 | |
| 454n | Secondary | Use expressions for different odd/even integers, not necessarily consecutive. | drfrost.org/explorer.php?ssid=2234 | https://www.youtube-nocookie.com/embed/GBi6MhvAcjY | |
| 454o | Secondary | Prove a property about some arithmetic combination of two different odd/even numbers, not necessarily consecutive. | drfrost.org/explorer.php?ssid=2243 | https://www.youtube-nocookie.com/embed/iBIwml8uhBw | |
| 454p | Secondary | Form and solve an equation using relationships between consecutive integers/evens/odds. | drfrost.org/explorer.php?ssid=2249 | https://www.youtube-nocookie.com/embed/kJ_AJ4kvgIo | |
| 454q | Secondary | Prove that an algebraic expression is a perfect square. | drfrost.org/explorer.php?ssid=2256 | https://www.youtube-nocookie.com/embed/s1Edynq-58I | |
| 455 | Secondary | Exam Practice: Equating coefficients in an identity f(x) \equiv g(x) | drfrost.org/explorer.php?ssid=577 | E455 | |
| 455a | Secondary | Equate coefficients to determine constants in an identity. | drfrost.org/explorer.php?ssid=1541 | https://www.youtube-nocookie.com/embed/aJmIHTmGo6Q | K737 |
| 455b | Secondary | Equate coefficients to determine constants in an identity requiring two single bracket expansions. | drfrost.org/explorer.php?ssid=1542 | https://www.youtube-nocookie.com/embed/zFya8CW8pb4 | K738 |
| 455c | Secondary | Equate coefficients to determine constants in an identity requiring expanding double brackets. | drfrost.org/explorer.php?ssid=2019 | ||
| 455d | Secondary | Equate coefficients to determine constants in an identity, involving a combination of single and double bracket expansions. | drfrost.org/explorer.php?ssid=2033 | ||
| 456 | Secondary | Exam Practice: Inequalities in two variables, including their representation on a plane. | drfrost.org/explorer.php?ssid=353 | https://www.youtube-nocookie.com/embed/iln-BONbRz0 | E456 |
| 456a | Secondary | Identify a region in 2D indicated by an inequality in the form x < a and y < a | drfrost.org/explorer.php?ssid=1158 | K604 | |
| 456b | Secondary | Identify a region in 2D indicated by a linear inequality in two variables. | drfrost.org/explorer.php?ssid=8857 | ||
| 456c | Secondary | Identify regions in 2D indicated by two inequalities in the form x < a and y < a | drfrost.org/explorer.php?ssid=1515 | https://www.youtube-nocookie.com/embed/MtDWoFaSj3E | K716 |
| 456d | Secondary | Identify regions in 2D indicated by two linear inequalities where at least one is in two variables. | drfrost.org/explorer.php?ssid=5947 | ||
| 456e | Secondary | Identify regions in 2D indicated by three or more linear inequalities where at least one is in two variables. | drfrost.org/explorer.php?ssid=1516 | https://www.youtube-nocookie.com/embed/MrhvFclpk7U | K717 |
| 456f | Secondary | Consider possible solutions to a one-ended linear inequality in two variables, given information about one or both variables. | drfrost.org/explorer.php?ssid=5948 | ||
| 456g | Secondary | Consider possible solutions to a two-ended linear inequality in two variables, given information about one or both variables. | drfrost.org/explorer.php?ssid=5949 | ||
| 456h | Secondary | Determine a fixed number of integer solutions which satisfy a given set of linear inequalities in two variables. | drfrost.org/explorer.php?ssid=5950 | ||
| 456i | Secondary | State the maximum or minimum value of an expression related to one or more linear inequalities in two variables shown on a graph. | drfrost.org/explorer.php?ssid=5951 | ||
| 456j | Secondary | Determine the linear inequalities represented by a region on a graph. | drfrost.org/explorer.php?ssid=5953 | ||
| 456k | Secondary | Determine the linear inequality that results in a region with a given area. | drfrost.org/explorer.php?ssid=5952 | ||
| 456l | Secondary | Form a one-ended linear inequality in two variables from a given context. | drfrost.org/explorer.php?ssid=5954 | ||
| 456m | Secondary | Form a two-ended linear inequality in two variables from a given context. | drfrost.org/explorer.php?ssid=5955 | ||
| 456n | Secondary | Form a set of linear inequalities in two variables from a given context and determine a solution set. | drfrost.org/explorer.php?ssid=5956 | ||
| 456o | Secondary | Consider the validity of related linear inequalities in two variables, given others known to be true. | drfrost.org/explorer.php?ssid=5957 | ||
| 456p | Secondary | Identify regions in 2D indicated by a mixture of linear and quadratic inequalities. | drfrost.org/explorer.php?ssid=8901 | ||
| 456q | Secondary | Determine the linear and quadratic inequalities represented by a region on a graph. | drfrost.org/explorer.php?ssid=8902 | ||
| 457 | Secondary | Exam Practice: Set builder notation | drfrost.org/explorer.php?ssid=4326 | E457 | |
| 457a | Secondary | Use set notation to represent a single one-ended or two-ended range of values for a variable. | drfrost.org/explorer.php?ssid=5958 | ||
| 457b | Secondary | Use set notation to represent multiple ranges of values for a variable. | drfrost.org/explorer.php?ssid=5959 | ||
| 457c | Secondary | Use set notation to represent more advanced discrete sets, e.g. odd numbers. | drfrost.org/explorer.php?ssid=5960 | ||
| 458 | A Level, Secondary | Exam Practice: Solving quadratic inequalities | drfrost.org/explorer.php?ssid=86 | https://www.youtube-nocookie.com/embed/NfxMCCrwcJY | E458 |
| 458a | A Level, Secondary | Solve quadratic inequalities given in the form x^2 + bx + c > 0 or x^2 + bx + c < 0 | drfrost.org/explorer.php?ssid=937 | https://www.youtube-nocookie.com/embed/BkU2ct9_T5o | K602 |
| 458b | A Level, Secondary | Solve quadratic inequalities given in the form x^2 + bx> 0 or x^2 +bx < 0 | drfrost.org/explorer.php?ssid=5961 | ||
| 458c | A Level, Secondary | Solve quadratic inequalities given in the form x^2 - a^2> 0 or x^2 - a^2 < 0 | drfrost.org/explorer.php?ssid=5962 | ||
| 458d | A Level, Secondary | Solve inequalities requiring rearrangement to the form x^2 + bx + c > 0 or x^2 + bx + c < 0 | drfrost.org/explorer.php?ssid=1974 | https://www.youtube-nocookie.com/embed/tPiWCrLw8sw | |
| 458e | A Level, Secondary | Solve inequalities requiring expanding brackets and rearrangement to the form x^2 + bx + c > 0 or x^2 + bx + c < 0 | drfrost.org/explorer.php?ssid=5963 | ||
| 458f | A Level, Secondary | Solve quadratic inequalities given in the form ax^2 + bx + c > 0 or ax^2 + bx + c < 0 | drfrost.org/explorer.php?ssid=5964 | ||
| 458g | A Level, Secondary | Solve quadratic inequalities requiring rearrangement to the form ax^2 + bx + c > 0 or ax^2 + bx + c < 0 | drfrost.org/explorer.php?ssid=936 | https://www.youtube-nocookie.com/embed/2onyWoJIk9k | K603 |
| 458h | A Level, Secondary | Solve quadratic inequalities requiring expanding brackets and rearrangement to the form ax^2 + bx + c > 0 or ax^2 + bx + c < 0 | drfrost.org/explorer.php?ssid=5965 | ||
| 458i | A Level, Secondary | Solve quadratic inequalities given in the form ax^2 > bx or ax^2 < bx | drfrost.org/explorer.php?ssid=5966 | ||
| 458j | A Level, Secondary | Solve quadratic inequalities given in the form ax^2 > b or ax^2 < b | drfrost.org/explorer.php?ssid=1975 | https://www.youtube-nocookie.com/embed/LlrFQi3xdxY | |
| 458k | A Level, Secondary | Solve quadratic inequalities given in the form -x^2 + bx + c > 0 or -x^2 + bx + c < 0 | drfrost.org/explorer.php?ssid=1976 | https://www.youtube-nocookie.com/embed/P_dONvKtsNc | |
| 458l | A Level, Secondary | Solve quadratic inequalities given in the form f(x) < g(x), where at least one of these expressions is quadratic. | drfrost.org/explorer.php?ssid=5967 | ||
| 458m | A Level, Secondary | Solve quadratic inequalities involving a division by a positive algebraic expression. | drfrost.org/explorer.php?ssid=1796 | https://www.youtube-nocookie.com/embed/Ms886WTYZ9A | |
| 458n | A Level, Secondary | Express the solution of a quadratic inequality using set notation. | drfrost.org/explorer.php?ssid=5968 | ||
| 458o | A Level, Secondary | Combine a linear and a quadratic inequality. | drfrost.org/explorer.php?ssid=1797 | https://www.youtube-nocookie.com/embed/Ik21a78Vt0c | |
| 458p | A Level, Secondary | Form and solve a quadratic inequality to find the terms in a quadratic sequence that fulfil certain criteria. | drfrost.org/explorer.php?ssid=5969 | ||
| 458q | A Level, Secondary | Form and solve a quadratic inequality for a given context. | drfrost.org/explorer.php?ssid=8349 | ||
| 459 | Secondary | Exam Practice: Understanding and drawing speed-time graphs | drfrost.org/explorer.php?ssid=396 | E459 | |
| 459a | Secondary | Determine the maximum and minimum speed reached on a speed-time graph. | drfrost.org/explorer.php?ssid=5970 | ||
| 459b | Secondary | Determine when a speed-time graph shows uniform acceleration, uniform deceleration or maintaining a constant speed. | drfrost.org/explorer.php?ssid=5971 | ||
| 459c | Secondary | Draw a speed-time graph given information about speed and time only. | drfrost.org/explorer.php?ssid=1061 | https://www.youtube-nocookie.com/embed/t_SHL6gNU9w | K860 |
| 459d | Secondary | Calculate an acceleration from a speed-time graph using gradient. | drfrost.org/explorer.php?ssid=1160 | K551 | |
| 459e | Secondary | Draw a speed-time graph given information about acceleration. | drfrost.org/explorer.php?ssid=5972 | ||
| 459f | Secondary | Determine unknown values on the axes of a speed-time graph given information about the acceleration. | drfrost.org/explorer.php?ssid=5973 | ||
| 459g | Secondary | Calculate the distance from a speed-time graph of an object which is accelerating or decelerating only. | drfrost.org/explorer.php?ssid=5974 | ||
| 459h | Secondary | Calculate the total distance from a speed-time graph. | drfrost.org/explorer.php?ssid=1065 | https://www.youtube-nocookie.com/embed/j4-6kbB5XZ0 | K546 |
| 459i | Secondary | Determine the time on a speed-time graph given the total displacement. | drfrost.org/explorer.php?ssid=1067 | K862 | |
| 459j | Secondary | Determine an unknown speed on a speed-time graph given the total distance. | drfrost.org/explorer.php?ssid=5975 | ||
| 459k | Secondary | Solve problems involving two overlapping speed-time graphs where one object overtakes another. | drfrost.org/explorer.php?ssid=5976 | ||
| 460 | Secondary | Exam Practice: Estimating area under a curved graph | drfrost.org/explorer.php?ssid=401 | https://www.youtube-nocookie.com/embed/VxPXdHipOrE | E460 |
| 460a | Secondary | Estimate the area under a curved graph between two x values, where the strip is drawn. | drfrost.org/explorer.php?ssid=8277 | ||
| 460b | Secondary | Estimate the area under a curved graph between two x values, where the strip is not drawn. | drfrost.org/explorer.php?ssid=8278 | ||
| 460c | Secondary | Estimate the area under a curved graph using a given number of strips of equal width, where these are drawn. | drfrost.org/explorer.php?ssid=5977 | ||
| 460d | Secondary | Estimate the area under a curved graph using a given number of strips of equal width, where these are not drawn. | drfrost.org/explorer.php?ssid=5978 | ||
| 460e | Secondary | State whether an estimated area under a curve is an overestimate or an underestimate. | drfrost.org/explorer.php?ssid=5979 | ||
| 460f | Secondary | Estimate the distance using a speed-time graph, where the strips are drawn. | drfrost.org/explorer.php?ssid=1410 | https://www.youtube-nocookie.com/embed/JuLqkQ2HaCg | K547 |
| 460g | Secondary | Determine whether an estimated distance is an overestimate or an underestimate. | drfrost.org/explorer.php?ssid=5980 | ||
| 460h | Secondary | Estimate the distance using a speed-time graph, where the strips are not drawn. | drfrost.org/explorer.php?ssid=1409 | https://www.youtube-nocookie.com/embed/JuLqkQ2HaCg | K548 |
| 460i | Secondary | Interpret the area under a curved graph in contexts outside of speed-time graphs. | drfrost.org/explorer.php?ssid=5981 | ||
| 461 | Secondary | Exam Practice: Estimating the gradient of a curve | drfrost.org/explorer.php?ssid=422 | https://www.youtube-nocookie.com/embed/5JI780BoDzU | E461 |
| 461a | Secondary | Estimate the gradient of a curve between two given points (average rate of change). | drfrost.org/explorer.php?ssid=5982 | ||
| 461b | Secondary | Estimate the gradient of a curve at a given point (instantaneous rate of change). | drfrost.org/explorer.php?ssid=1145 | K550 | |
| 461c | Secondary | Estimate the gradient of a curve in context as an average rate of change of a quantity. | drfrost.org/explorer.php?ssid=5983 | ||
| 461d | Secondary | Estimate the gradient of a curve in context as an instantaneous rate of change of a quantity. | drfrost.org/explorer.php?ssid=5984 | ||
| 461e | Secondary | Estimate the average speed between two times from a curved distance-time graph. | drfrost.org/explorer.php?ssid=5985 | ||
| 461f | Secondary | Estimate a velocity at a given time from a curved distance-time graph. | drfrost.org/explorer.php?ssid=5986 | ||
| 461g | Secondary | Estimate the average acceleration between two times from a curved speed-time graph. | drfrost.org/explorer.php?ssid=5987 | ||
| 461h | Secondary | Estimate the acceleration at a given time from a curved speed-time graph. | drfrost.org/explorer.php?ssid=5988 | ||
| 461i | Secondary | Interpret the gradient of a curve in contexts outside of speed-time graphs. | drfrost.org/explorer.php?ssid=5989 | ||
| 462 | Secondary | Exam Practice: Solving equations involving fractions that lead to a quadratic equation | drfrost.org/explorer.php?ssid=500 | E462 | |
| 462a | Secondary | Solve an equation requiring multiplication by a single algebraic term, leading to a quadratic equation. | drfrost.org/explorer.php?ssid=1965 | https://www.youtube-nocookie.com/embed/U1VDJmhZb-k | |
| 462b | Secondary | Solve an equation with a single algebraic fraction on one side of the equation, leading to a quadratic equation. | drfrost.org/explorer.php?ssid=1966 | https://www.youtube-nocookie.com/embed/WwCYFMOBPiw | |
| 462c | Secondary | Solve an equation with a single algebraic fraction on each side of the equation, leading to a quadratic equation. | drfrost.org/explorer.php?ssid=1967 | https://www.youtube-nocookie.com/embed/4DbJuBardTg | |
| 462d | Secondary | Solve an equation requiring addition or subtraction of algebraic fractions, leading to a quadratic equation. | drfrost.org/explorer.php?ssid=1156 | https://www.youtube-nocookie.com/embed/xbXhOyn6zic | K614 |
| 462e | Secondary | Solve an equation with fractions requiring prior factorisation of one of the fractions. | drfrost.org/explorer.php?ssid=1973 | ||
| 462f | Secondary | Solve simultaneous equations/systems of equations with variables in the denominators of the fractions of one of the equations. | drfrost.org/explorer.php?ssid=5990 | ||
| 462g | Secondary | Form and solve an equation with algebraic fractions on each side given algebraic terms in a geometric sequence. | drfrost.org/explorer.php?ssid=8487 | ||
| 462h | Secondary | Form and solve a quadratic equation from a percentage problem. | drfrost.org/explorer.php?ssid=5832 | ||
| 463 | Secondary | Exam Practice: Algebraic probability problems involving independent/dependent events | drfrost.org/explorer.php?ssid=511 | https://www.youtube-nocookie.com/embed/yJva4ph-KEE | E463 |
| 463a | Secondary | Give an expression for the probability of a single choice given algebraic frequencies. | drfrost.org/explorer.php?ssid=5991 | ||
| 463b | Secondary | Give an expression for the probability of a single chain of outcomes involving algebraic frequencies. | drfrost.org/explorer.php?ssid=5992 | ||
| 463c | Secondary | Give an expression for the probability of multiple chains of outcomes involving algebraic frequencies. | drfrost.org/explorer.php?ssid=5993 | ||
| 463d | Secondary | Form and solve a linear equation where a choice is made from two separate groups with an unknown in one. | drfrost.org/explorer.php?ssid=5994 | ||
| 463e | Secondary | Form an equation using sampling without replacement. | drfrost.org/explorer.php?ssid=829 | https://www.youtube-nocookie.com/embed/THQEajeUa24 | K628 |
| 463f | Secondary | Form an equation using sampling without replacement involving subtraction of frequencies. | drfrost.org/explorer.php?ssid=8824 | ||
| 463g | Secondary | Form an equation using sampling without replacement where there are multiple chains of outcomes. | drfrost.org/explorer.php?ssid=5995 | ||
| 463h | Secondary | Form and solve an equation using sampling without replacement where a difference is given between two quantities. | drfrost.org/explorer.php?ssid=5996 | ||
| 464 | Secondary | Exam Practice: Problem solving with ratios | drfrost.org/explorer.php?ssid=535 | E464 | |
| 464a | Secondary | Write an algebraic ratio as a linear function. | drfrost.org/explorer.php?ssid=1442 | K201 | |
| 464b | Secondary | Form and solve a linear equation using equivalent ratios. | drfrost.org/explorer.php?ssid=5997 | ||
| 464c | Secondary | Form and solve a quadratic equation using equivalent ratios. | drfrost.org/explorer.php?ssid=5998 | ||
| 464d | Secondary | Determine an amount given a change in a ratio where one part is changing. | drfrost.org/explorer.php?ssid=1250 | https://www.youtube-nocookie.com/embed/Ge2aPe9XJH8 | K696 |
| 464e | Secondary | Determine an amount given a change in a ratio where two parts are changing. | drfrost.org/explorer.php?ssid=1293 | https://www.youtube-nocookie.com/embed/vjKJz3h2ycA | K697 |
| 464f | Secondary | Form a ratio from a quadratic equation in two variables. | drfrost.org/explorer.php?ssid=8615 | ||
| 464g | Secondary | Determine the quantities required of two mixtures to produce a combined mixture with components in a given ratio. | drfrost.org/explorer.php?ssid=8538 | ||
| 465 | A Level, Secondary | Exam Practice: Sine rule (Law of Sines) and cosine rule (Law of Cosines) to determine lengths in a non-right angled triangle | drfrost.org/explorer.php?ssid=150 | https://www.youtube-nocookie.com/embed/oMf2TA9XMSM | E465 |
| 465a | A Level, Secondary | Use the sine rule/Law of Sines to determine unknown sides in non right-angled triangles. | drfrost.org/explorer.php?ssid=764 | https://www.youtube-nocookie.com/embed/KcZW0bXhyyk | K633 |
| 465b | A Level, Secondary | Use the sine rule/Law of Sines to determine acute angles in non right-angled triangles. | drfrost.org/explorer.php?ssid=765 | https://www.youtube-nocookie.com/embed/YnOk-JO4jlU | K634 |
| 465c | A Level, Secondary | Use the sine rule/Law of Sines to determine obtuse angles in non right-angled triangles. | drfrost.org/explorer.php?ssid=766 | https://www.youtube-nocookie.com/embed/S473tphsHi4 | K635 |
| 465d | A Level, Secondary | Prove the sine rule (Law of Sines). | drfrost.org/explorer.php?ssid=6001 | ||
| 466 | A Level, Secondary | Exam Practice: Sine rule (Law of Sines) and cosine rule (Law of Cosines) to determine angles in a non-right angled triangle | drfrost.org/explorer.php?ssid=149 | https://www.youtube-nocookie.com/embed/pYjmT5W0Kwk | E466 |
| 466a | Secondary, A Level | Use the cosine rule/Law of Cosines to determine unknown sides in non right-angled triangles. | drfrost.org/explorer.php?ssid=767 | https://www.youtube-nocookie.com/embed/sToDr67fVl0 | K636 |
| 466b | A Level, Secondary | Determine the perimeter of a segment or a compound shape consisting of a sector and a triangle. | drfrost.org/explorer.php?ssid=5999 | ||
| 466c | A Level, Secondary | Use the cosine rule/Law of Cosines to determine unknown angles in non right-angled triangles. | drfrost.org/explorer.php?ssid=768 | https://www.youtube-nocookie.com/embed/xM4dAaTTK0c | K637 |
| 466d | A Level, Secondary | Determine the largest or smallest angle of a triangle given its sides. | drfrost.org/explorer.php?ssid=6002 | ||
| 466e | A Level, Secondary | Use the sine and/or cosine rule to determine a length in adjoined triangles. | drfrost.org/explorer.php?ssid=1654 | ||
| 466f | A Level, Secondary | Use the sine and/or cosine rule to determine an angle in adjoined triangles. | drfrost.org/explorer.php?ssid=8840 | ||
| 466g | A Level, Secondary | Use a combination or repetition of the sine rule/Law of Sines and cosine rule/Law of Cosines within a single triangle. | drfrost.org/explorer.php?ssid=1585 | https://www.youtube-nocookie.com/embed/7o8CnrKMEyM | K760 |
| 466h | A Level, Secondary | Use the cosine rule/Law of Cosines on algebraic sides to determine the value of a variable. | drfrost.org/explorer.php?ssid=6000 | ||
| 466i | A Level, Secondary | Prove the cosine rule (Law of Cosines). | drfrost.org/explorer.php?ssid=8841 | ||
| 467 | A Level, Secondary | Exam Practice: Area of a triangle using two lengths and the angle between them | drfrost.org/explorer.php?ssid=151 | https://www.youtube-nocookie.com/embed/JfoyDWUFWLo | E467 |
| 467a | A Level, Secondary | Calculate the area of a triangle using two lengths and the included angle. | drfrost.org/explorer.php?ssid=770 | https://www.youtube-nocookie.com/embed/DW-yixJRMVk | K639 |
| 467b | A Level, Secondary | Calculate the area of a parallelogram using two lengths and the included angle. | drfrost.org/explorer.php?ssid=6003 | ||
| 467c | A Level, Secondary | Calculate the area of a kite using two lengths and the included angle. | drfrost.org/explorer.php?ssid=6004 | ||
| 467d | A Level, Secondary | Calculate the area of a triangle using two lengths and an angle not included between the two sides. | drfrost.org/explorer.php?ssid=1423 | https://www.youtube-nocookie.com/embed/cR3HT9cuKuk | K640 |
| 467e | A Level, Secondary | Determine an expression for the area of a triangle given algebraic sides. | drfrost.org/explorer.php?ssid=6005 | ||
| 467f | A Level, Secondary | Calculate a length of a triangle given its area, another length and the included angle. | drfrost.org/explorer.php?ssid=6006 | ||
| 467g | A Level, Secondary | Calculate the length of the side opposite an angle in a triangle, using its area and another side. | drfrost.org/explorer.php?ssid=6007 | ||
| 467h | A Level, Secondary | Calculate an angle in a triangle given two sides and the area. | drfrost.org/explorer.php?ssid=1771 | ||
| 467i | A Level, Secondary | Calculate the area of a segment of a circle, given the radius of the circle and the angle. | drfrost.org/explorer.php?ssid=1527 | K722 | |
| 467j | A Level, Secondary | Calculate the area of a segment of a circle, given the radius of the circle and chord length. | drfrost.org/explorer.php?ssid=1526 | K723 | |
| 467k | A Level, Secondary | Calculate the length of an arc given the area of the segment. | drfrost.org/explorer.php?ssid=1528 | K724 | |
| 467l | A Level, Secondary | Calculate the area of a triangle using its side lengths only. | drfrost.org/explorer.php?ssid=6008 | ||
| 467m | A Level, Secondary | Determine the area of a compound shape consisting of a triangle and sector. | drfrost.org/explorer.php?ssid=6009 | ||
| 467n | A Level, Secondary | Determine the area of a triangle by finding a length shared with another triangle. | drfrost.org/explorer.php?ssid=6010 | ||
| 467o | A Level, Secondary | Determine the area of a quadrilateral given the area of one of its constituent triangles. | drfrost.org/explorer.php?ssid=6011 | ||
| 467p | A Level, Secondary | Determine the area of a hexagon given its side lengths and some of its angles. | drfrost.org/explorer.php?ssid=6012 | ||
| 467q | A Level, Secondary | Determine the shaded area in overlapping circles. | drfrost.org/explorer.php?ssid=1565 | K745 | |
| 468 | Secondary | Exam Practice: Advanced formulae for area involving side lengths only | drfrost.org/explorer.php?ssid=4327 | E468 | |
| 468a | Secondary | Calculate the area of a triangle using Heron's formula. | drfrost.org/explorer.php?ssid=6013 | ||
| 468b | Secondary | Calculate the area of a cyclic quadrilateral using Brahmagupta's formula. | drfrost.org/explorer.php?ssid=6014 | ||
| 469 | Secondary | Exam Practice: Bearings problems involving non-right-angled trigonometry | drfrost.org/explorer.php?ssid=508 | E469 | |
| 469a | Secondary | Use the cosine rule/Law of Cosines to determine a bearing. | drfrost.org/explorer.php?ssid=2257 | ||
| 469b | Secondary | Use the cosine rule/Law of Cosines to determine a distance in a bearing problem. | drfrost.org/explorer.php?ssid=1472 | K672 | |
| 469c | Secondary | Use the sine rule/Law of Sines to determine a bearing. | drfrost.org/explorer.php?ssid=2263 | ||
| 469d | Secondary | Use the sine rule/Law of Sines to determine a distance in a bearing problem. | drfrost.org/explorer.php?ssid=2295 | ||
| 469e | Secondary | Use the sine and cosine rules (Laws of Sines/Cosines) to determine a bearing. | drfrost.org/explorer.php?ssid=2296 | ||
| 469f | Secondary | Use the sine and cosine rules (Laws of Sines/Cosines) to determine a distance in a bearing problem. | drfrost.org/explorer.php?ssid=2335 | ||
| 469g | Secondary | Determine an enclosed area in a bearings problem. | drfrost.org/explorer.php?ssid=2336 | ||
| 470 | Secondary | Exam Practice: 3D shape problems involving non-right-angled trigonometry | drfrost.org/explorer.php?ssid=4328 | E470 | |
| 470a | Secondary | Determine a missing side length in a prism using sine and/or cosine rules (Law of Sines/Cosines). | drfrost.org/explorer.php?ssid=6015 | ||
| 470b | Secondary | Determine a missing side length in a pyramid using sine and/or cosine rules (Law of Sines/Cosines). | drfrost.org/explorer.php?ssid=6016 | ||
| 470c | Secondary | Determine an angle in a prism using sine and/or cosine rules (Law of Sines/Cosines). | drfrost.org/explorer.php?ssid=6017 | ||
| 470d | Secondary | Determine an angle in a pyramid using sine and/or cosine rules (Law of Sines/Cosines). | drfrost.org/explorer.php?ssid=6018 | ||
| 470e | Secondary | Determine the area of a plane within a 3D shape. | drfrost.org/explorer.php?ssid=6019 | ||
| 470f | Secondary | Determine the angle between two sloped planes of a pyramid. | drfrost.org/explorer.php?ssid=8449 | ||
| 471 | Secondary | Exam Practice: Proving triangle congruence using SSS, SAS, ASA and RHS | drfrost.org/explorer.php?ssid=141 | https://www.youtube-nocookie.com/embed/dTbbETfstgI | E471 |
| 471a | Secondary | Prove that two triangles are congruent using SSS. | drfrost.org/explorer.php?ssid=1129 | K629 | |
| 471b | Secondary | Prove that two triangles are congruent using ASA. | drfrost.org/explorer.php?ssid=1130 | K630 | |
| 471c | Secondary | Prove that two triangles are congruent using SAS. | drfrost.org/explorer.php?ssid=1131 | K631 | |
| 471d | Secondary | Prove that two triangles are congruent using RHS. | drfrost.org/explorer.php?ssid=1132 | K632 | |
| 471e | Secondary | Use circle theorems to prove that two triangles are congruent. | drfrost.org/explorer.php?ssid=8822 | ||
| 471f | Secondary | Prove that side lengths/angles are equal by first proving congruence. | drfrost.org/explorer.php?ssid=8823 | ||
| 471g | Secondary | Prove that two triangles are similar using AAA. | drfrost.org/explorer.php?ssid=8523 | ||
| 472 | A Level, Secondary | Exam Practice: Magnitude of a column vector | drfrost.org/explorer.php?ssid=267 | E472 | |
| 472a | A Level, Secondary | Understand that a vector can be defined by its magnitude and direction, or its components. | drfrost.org/explorer.php?ssid=8809 | ||
| 472b | A Level, Secondary | Calculate the magnitude of a 2D column vector. | drfrost.org/explorer.php?ssid=1057 | https://www.youtube-nocookie.com/embed/_Y--NQL2FWY | K650 |
| 472c | A Level, Secondary | Determine the magnitude of a scalar multiple of a 2D column vector. | drfrost.org/explorer.php?ssid=6020 | ||
| 472d | A Level, Secondary | Determine an unknown value in a 2D column vector given the magnitude. | drfrost.org/explorer.php?ssid=6021 | ||
| 472e | A Level, Secondary | Determine the direction or bearing of a vector. | drfrost.org/explorer.php?ssid=8810 | ||
| 472f | A Level, Secondary | Determine the components of a vector given its magnitude and direction. | drfrost.org/explorer.php?ssid=8811 | ||
| 472g | A Level, Secondary | Determine the magnitude of the sum or difference of vectors given in component form. | drfrost.org/explorer.php?ssid=8812 | ||
| 472h | A Level, Secondary | Determine the direction of the sum or difference of vectors given in component form. | drfrost.org/explorer.php?ssid=8813 | ||
| 473 | A Level, Secondary | Exam Practice: Vectors using variables | drfrost.org/explorer.php?ssid=268 | E473 | |
| 473a | A Level, Secondary | Determine a vector between two points using an appropriate path. | drfrost.org/explorer.php?ssid=1068 | K652 | |
| 473b | A Level, Secondary | Determine a vector involving a midpoint. | drfrost.org/explorer.php?ssid=1069 | K653 | |
| 473c | A Level, Secondary | Determine a vector involving a fraction of the distance between two points. | drfrost.org/explorer.php?ssid=1071 | K654 | |
| 473d | A Level, Secondary | Determine a vector involving half of a subroute. | drfrost.org/explorer.php?ssid=6022 | ||
| 473e | A Level, Secondary | Determine a vector involving a fraction of a subroute. | drfrost.org/explorer.php?ssid=6023 | ||
| 473f | A Level, Secondary | Determine a vector when one vector is extended out by a ratio. | drfrost.org/explorer.php?ssid=6024 | ||
| 473g | A Level, Secondary | Prove that points form a parallelogram or rectangle using vector variables. | drfrost.org/explorer.php?ssid=8870 | ||
| 474 | A Level, Secondary | Exam Practice: Parallel vectors and straight line proofs using vectors | drfrost.org/explorer.php?ssid=270 | E474 | |
| 474a | A Level, Secondary | Determine if two vectors are parallel. | drfrost.org/explorer.php?ssid=6025 | ||
| 474b | A Level, Secondary | Determine an unknown constant in a vector that is parallel to another. | drfrost.org/explorer.php?ssid=6026 | ||
| 474c | A Level, Secondary | Determine the ratio of two vectors that are parallel to each other. | drfrost.org/explorer.php?ssid=8616 | ||
| 474d | A Level, Secondary | Prove that two vectors in a diagram are parallel. | drfrost.org/explorer.php?ssid=1162 | K655 | |
| 474e | A Level, Secondary | Prove that points form a trapezium using vector variables. | drfrost.org/explorer.php?ssid=8871 | ||
| 474f | A Level, Secondary | Prove that three points are collinear using vector variables. | drfrost.org/explorer.php?ssid=1161 | K656 | |
| 474g | A Level, Secondary | Prove that three points are collinear using column vectors. | drfrost.org/explorer.php?ssid=6027 | ||
| 475 | A Level, Secondary | Exam Practice: Solving vector problems by introduction of a scalar | drfrost.org/explorer.php?ssid=4329 | E475 | |
| 475a | A Level, Secondary | Determine a vector by equating coefficients for two different scalars/routes. | drfrost.org/explorer.php?ssid=6028 | https://www.youtube-nocookie.com/embed/kZbXLrUzac4 | |
| 475b | A Level, Secondary | Determine a ratio by writing a vector using two different scalars/routes. | drfrost.org/explorer.php?ssid=6029 | https://www.youtube-nocookie.com/embed/tOcaoIJd544 | |
| 475c | A Level, Secondary | Determine a ratio of vectors by extending out a vector. | drfrost.org/explorer.php?ssid=1564 | https://www.youtube-nocookie.com/embed/KT_dfEo0LtE | K993 |
| 476 | Secondary | Exam Practice: Statistical fallacies | drfrost.org/explorer.php?ssid=4330 | E476 | |
| 476a | Secondary | Recognise common examples of incorrect reasoning in probability. | drfrost.org/explorer.php?ssid=6030 | ||
| 476b | Secondary | Recognise situations where regression to the mean may occur. | drfrost.org/explorer.php?ssid=6031 | ||
| 477 | Secondary | Exam Practice: Risk | drfrost.org/explorer.php?ssid=4331 | E477 | |
| 477a | Secondary | Calculate the absolute risk of an event. | drfrost.org/explorer.php?ssid=6032 | ||
| 477b | Secondary | Calculate the relative risk of an event. | drfrost.org/explorer.php?ssid=6033 | ||
| 477c | Secondary | Use a two-way table to compare relative risk. | drfrost.org/explorer.php?ssid=6034 | ||
| 478 | Secondary | Exam Practice: Cost-benefit and risk analysis | drfrost.org/explorer.php?ssid=4332 | E478 | |
| 478a | Secondary | Calculate expected profit or loss of company or individual. | drfrost.org/explorer.php?ssid=6035 | ||
| 478b | Secondary | Calculate expected profit or loss for a given game. | drfrost.org/explorer.php?ssid=6036 | ||
| 478c | Secondary | Calculate expected gains and losses given a control measure. | drfrost.org/explorer.php?ssid=6037 | ||
| 478d | Secondary | Decide if an insurance policy should be taken by considering the cost and benefits. | drfrost.org/explorer.php?ssid=6038 | ||
| 478e | Secondary | Evaluate and decide on a course of action considering the expected costs and benefits of different options. | drfrost.org/explorer.php?ssid=6039 | ||
| 479 | Secondary | Exam Practice: Comparative pie charts | drfrost.org/explorer.php?ssid=4333 | E479 | |
| 479a | Secondary | Understand when it is relevant to use comparative pie charts. | drfrost.org/explorer.php?ssid=6040 | ||
| 479b | Secondary | Calculate the radius of a second pie chart using \frac{r_{2}^2}{r_{1}^2}=\frac{F_{2}}{F_{1}} | drfrost.org/explorer.php?ssid=6041 | ||
| 479c | Secondary | Draw a pair of comparative pie charts. | drfrost.org/explorer.php?ssid=6042 | ||
| 479d | Secondary | Calculate the total frequency of a given data set given the comparative radii. | drfrost.org/explorer.php?ssid=6043 | ||
| 479e | Secondary | Calculate the frequency of a given sector in a comparative pie chart. | drfrost.org/explorer.php?ssid=6044 | ||
| 479f | Secondary | Compare two sets of data using comparative pie charts. | drfrost.org/explorer.php?ssid=6045 | ||
| 480 | Secondary | Exam Practice: Population pyramids | drfrost.org/explorer.php?ssid=4334 | E480 | |
| 480a | Secondary | Draw a population pyramid. | drfrost.org/explorer.php?ssid=6046 | ||
| 480b | Secondary | Read a population pyramid. | drfrost.org/explorer.php?ssid=6047 | ||
| 480c | Secondary | Compare two sets of data using a population pyramid. | drfrost.org/explorer.php?ssid=6048 | ||
| 480d | Secondary | Make inferences about a population based on the shape of a population pyramid. | drfrost.org/explorer.php?ssid=6049 | ||
| 481 | Secondary | Exam Practice: Choropleth maps | drfrost.org/explorer.php?ssid=4335 | E481 | |
| 481a | Secondary | Complete a choropleth map using a given key. | drfrost.org/explorer.php?ssid=6050 | ||
| 481b | Secondary | Read a choropleth map using a given key. | drfrost.org/explorer.php?ssid=6051 | ||
| 481c | Secondary | Compare choropleth maps. | drfrost.org/explorer.php?ssid=6052 | ||
| 482 | Secondary | Exam Practice: Heat maps | drfrost.org/explorer.php?ssid=4336 | E482 | |
| 482a | Secondary | Read a value off a heat map. | drfrost.org/explorer.php?ssid=6053 | ||
| 482b | Secondary | Determine the colour/intensity of a region to use on a heat map given its value. | drfrost.org/explorer.php?ssid=6054 | ||
| 482c | Secondary | Make inferences from data by interpreting a heat map. | drfrost.org/explorer.php?ssid=6055 | ||
| 483 | Secondary | Exam Practice: Bubble charts | drfrost.org/explorer.php?ssid=4337 | E483 | |
| 483a | Secondary | Read the value represented by a bubble on a bubble chart. | drfrost.org/explorer.php?ssid=6056 | ||
| 483b | Secondary | Determine the size of the bubble required on a bubble chart. | drfrost.org/explorer.php?ssid=6057 | ||
| 484 | Secondary | Exam Practice: Birth and death rates | drfrost.org/explorer.php?ssid=4338 | E484 | |
| 484a | Secondary | Calculate crude birth and death rates. | drfrost.org/explorer.php?ssid=6058 | ||
| 484b | Secondary | Calculate the number or births or deaths given the rate for a population. | drfrost.org/explorer.php?ssid=6059 | ||
| 484c | Secondary | Understand the limitations of crude rates. | drfrost.org/explorer.php?ssid=6060 | ||
| 484d | Secondary | Determine the standard population for different strata. | drfrost.org/explorer.php?ssid=6061 | ||
| 484e | Secondary | Calculate standardised rates of change. | drfrost.org/explorer.php?ssid=6062 | ||
| 484f | Secondary | Compare rates of change across a population using standardised rates. | drfrost.org/explorer.php?ssid=6063 | ||
| 485 | A Level, Secondary | Exam Practice: Solving hidden quadratic equations (no logs or trigonometric functions) | drfrost.org/explorer.php?ssid=181 | E485 | |
| 485a | A Level, Secondary | Solve a hidden quadratic equation given in the form x^n by substitution. | drfrost.org/explorer.php?ssid=951 | K771 | |
| 485b | A Level, Secondary | Solve a hidden quadratic equation containing roots by substitution | drfrost.org/explorer.php?ssid=8450 | ||
| 485c | A Level, Secondary | Solve a hidden quadratic equation given in the form x^n by substitution, that requires multiplying through by a power of x. | drfrost.org/explorer.php?ssid=1170 | K772 | |
| 485d | A Level, Secondary | Solve an equation where indices can be equated, leading to a quadratic equation. | drfrost.org/explorer.php?ssid=6064 | ||
| 485e | A Level, Secondary | Solve a quadratic equation in terms of an exponential term of the form a^x (no logarithms). | drfrost.org/explorer.php?ssid=1066 | K773 | |
| 486 | Secondary | Exam Practice: Simultaneous equations/systems of equations involving 3 variables | drfrost.org/explorer.php?ssid=484 | E486 | |
| 486a | Secondary | Solve simultaneous equations/systems of equations with 3 variables, by eliminating a given term. | drfrost.org/explorer.php?ssid=6065 | ||
| 486b | Secondary | Solve simultaneous equations/systems of equations with 3 variables. | drfrost.org/explorer.php?ssid=1926 | ||
| 486c | Secondary | Form and solve simultaneous equations/systems of equations with 3 unknown values. | drfrost.org/explorer.php?ssid=6066 | ||
| 487 | Secondary | Exam Practice: Piecewise functions | drfrost.org/explorer.php?ssid=445 | E487 | |
| 487a | Secondary | Use a piecewise function to find an output for a specific input. | drfrost.org/explorer.php?ssid=1812 | ||
| 487b | Secondary | Sketch a piecewise function involving linear segments. | drfrost.org/explorer.php?ssid=1817 | ||
| 487c | Secondary | Sketch a piecewise function that includes non-linear segments. | drfrost.org/explorer.php?ssid=8781 | ||
| 487d | Secondary | Determine the component functions of a sketched piecewise function. | drfrost.org/explorer.php?ssid=1826 | ||
| 487e | Secondary | Determine the number of solutions to f(x) = k where the function is piecewise. | drfrost.org/explorer.php?ssid=1852 | ||
| 487f | Secondary | Solve equations given in the form f(x) = k when the function is piecewise. | drfrost.org/explorer.php?ssid=1853 | ||
| 487g | Secondary | Determine the range of a piecewise function. | drfrost.org/explorer.php?ssid=1856 | ||
| 487h | Secondary | Determine a piecewise function given knowledge of its range. | drfrost.org/explorer.php?ssid=1857 | ||
| 487i | Secondary | Determine the area enclosed under a piecewise function with linear segments. | drfrost.org/explorer.php?ssid=1860 | ||
| 488 | Secondary | Exam Practice: Stepwise functions | drfrost.org/explorer.php?ssid=4339 | E488 | |
| 488a | Secondary | Determine an output of a step function using a graph. | drfrost.org/explorer.php?ssid=6067 | ||
| 488b | Secondary | Determine an output of a step function defined algebraically piecewise. | drfrost.org/explorer.php?ssid=6068 | ||
| 488c | Secondary | Determine the range of a step function defined algebraically piecewise. | drfrost.org/explorer.php?ssid=6069 | ||
| 488d | Secondary | Sketch a step function using a single algebraic expression that makes use of the floor function (greatest integer function) or ceiling functions. | drfrost.org/explorer.php?ssid=6070 | ||
| 489 | Secondary | Exam Practice: Dimensional analysis | drfrost.org/explorer.php?ssid=428 | E489 | |
| 489a | Secondary | Propose a formula to calculate a quantity given its unit. | drfrost.org/explorer.php?ssid=6071 | ||
| 489b | Secondary | Determine the dimensions of a quantity in a formula, given the dimensions of the other variables/constants. | drfrost.org/explorer.php?ssid=6072 | ||
| 489c | Secondary | Use dimensional analysis to determine unknown indices in a proposed formula. | drfrost.org/explorer.php?ssid=6073 | ||
| 490 | Secondary | Exam Practice: Dealing with logical true-false statements (Boolean algebra) | drfrost.org/explorer.php?ssid=374 | E490 | |
| 490a | Secondary | Evaluate a simple expression involving a single Boolean operator. | drfrost.org/explorer.php?ssid=6074 | ||
| 490b | Secondary | Complete a truth table for a single Boolean operator. | drfrost.org/explorer.php?ssid=6075 | ||
| 490c | Secondary | Evaluate an expression involving two or more Boolean operators. | drfrost.org/explorer.php?ssid=6076 | ||
| 490d | Secondary | Complete a truth table involving three or more variables. | drfrost.org/explorer.php?ssid=6077 | ||
| 490e | Secondary | Prove the equivalence of expressions with up to 3 variables. | drfrost.org/explorer.php?ssid=6078 | ||
| 491 | Secondary | Exam Practice: Syllogisms and tautologies | drfrost.org/explorer.php?ssid=4340 | E491 | |
| 491a | Secondary | Understand the terminology of syllogisms, including the major premise, minor premise and conclusion. | drfrost.org/explorer.php?ssid=6079 | ||
| 491b | Secondary | Reason about the distribution of subjects and predicates in propositions such as "All X are Y" and "Some X are not Y". | drfrost.org/explorer.php?ssid=6080 | ||
| 491c | Secondary | Determine whether a syllogism involving distribution of items is logically valid. | drfrost.org/explorer.php?ssid=6081 | ||
| 491d | Secondary | Use the Law of Syllogisms and Law of Detachment (modus ponens) for conditional statements. | drfrost.org/explorer.php?ssid=6082 | ||
| 491e | Secondary | Identify when a statement is a tautology (including common types) or a contradiction. | drfrost.org/explorer.php?ssid=6083 | ||
| 492 | Secondary, A Level | Exam Practice: Discriminant of a quadratic function | drfrost.org/explorer.php?ssid=185 | https://www.youtube-nocookie.com/embed/ponJzpfss9U | E492 |
| 492a | Secondary, A Level | Calculate the discriminant of a quadratic function with numeric coefficients. | drfrost.org/explorer.php?ssid=1828 | https://www.youtube-nocookie.com/embed/1cyhJcOpPcQ | |
| 492b | Secondary, A Level | Use the discriminant of a simple quadratic function to determine the number of solutions to an equation. | drfrost.org/explorer.php?ssid=1829 | https://www.youtube-nocookie.com/embed/UbEg7aMJ4ME | |
| 492c | Secondary, A Level | Understand the relationship between the discriminant of a quadratic function and its sketch. | drfrost.org/explorer.php?ssid=1834 | https://www.youtube-nocookie.com/embed/xVyA7wdMJwE | |
| 492d | Secondary, A Level | Determine the discriminant of a quadratic function with algebraic coefficients. | drfrost.org/explorer.php?ssid=1869 | https://www.youtube-nocookie.com/embed/GVVzOs-TKv8 | |
| 492e | Secondary, A Level | Use the discriminant to reason about the number of solutions of a factorised cubic. | drfrost.org/explorer.php?ssid=1880 | https://www.youtube-nocookie.com/embed/41i10vp8iZ4 | |
| 492f | Secondary, A Level | Use the discriminant to determine the values for algebraic coefficients in a quadratic function, where there are equal roots. | drfrost.org/explorer.php?ssid=1884 | https://www.youtube-nocookie.com/embed/3lBvDUUwbB0 | |
| 492g | Secondary, A Level | Use the discriminant to determine the values for algebraic coefficients in a quadratic function, where there are no roots or distinct roots. | drfrost.org/explorer.php?ssid=933 | https://www.youtube-nocookie.com/embed/s0h_8DgPx8Y | K770 |
| 492h | Secondary, A Level | Use the discriminant to determine the values for algebraic coefficients in a quadratic function, requiring rearrangement. | drfrost.org/explorer.php?ssid=1898 | https://www.youtube-nocookie.com/embed/EDveaNq4KEU | |
| 492i | Secondary, A Level | Use the discriminant to determine when a straight line is tangent to a quadratic graph. | drfrost.org/explorer.php?ssid=1755 | https://www.youtube-nocookie.com/embed/k4cVXUw36Ow | |
| 492j | Secondary, A Level | Prove that a quadratic with algebraic coefficients always has either distinct or no solutions. | drfrost.org/explorer.php?ssid=8330 | https://www.youtube-nocookie.com/embed/2_ircBlPSQY | |
| 493 | Secondary, A Level | Exam Practice: Graphs of more general reciprocal functions | drfrost.org/explorer.php?ssid=540 | E493 | |
| 493a | Secondary, A Level | Identify the x and y intercepts of a more general reciprocal function. | drfrost.org/explorer.php?ssid=6084 | ||
| 493b | Secondary, A Level | Identify the equation of the vertical asymptote of a more general reciprocal function. | drfrost.org/explorer.php?ssid=1808 | ||
| 493c | Secondary, A Level | Identify the equation of the horizontal asymptote of a more general reciprocal function. | drfrost.org/explorer.php?ssid=6085 | ||
| 493d | Secondary, A Level | Sketch reciprocal functions given in the form y = a + \frac{b}{cx + d} | drfrost.org/explorer.php?ssid=1809 | ||
| 493e | Secondary, A Level | Sketch graphs given in the form y = \frac{a}{x^2} | drfrost.org/explorer.php?ssid=6086 | ||
| 493f | Secondary, A Level | Sketch reciprocal functions given in the form y = \frac{ax + b}{cx + d} | drfrost.org/explorer.php?ssid=6087 | ||
| 493g | Secondary, A Level | Determine coefficients in a more general reciprocal function that lead to a given x or y intercept. | drfrost.org/explorer.php?ssid=6088 | ||
| 493h | Secondary, A Level | Determine coefficients in a more general reciprocal function that lead to a given vertical or horizontal asymptote. | drfrost.org/explorer.php?ssid=6089 | ||
| 494 | A Level | Exam Practice: Graphs of polynomials of order 3 or more, particularly cubic and quartic functions | drfrost.org/explorer.php?ssid=186 | https://www.youtube-nocookie.com/embed/KwLJd1rTMtQ | E494 |
| 494a | A Level | Identify the intercepts of a cubic with the coordinate axes, where the equation is factorised. | drfrost.org/explorer.php?ssid=1763 | https://www.youtube-nocookie.com/embed/OdBxuFlsaNI | |
| 494b | A Level | Sketch a cubic graph where the function is in factorised form (including cubics with a stationary point of inflection). | drfrost.org/explorer.php?ssid=1767 | https://www.youtube-nocookie.com/embed/xMN8kkkGhf8 | |
| 494c | A Level | Sketch a cubic graph where the function requires factorising. | drfrost.org/explorer.php?ssid=1764 | https://www.youtube-nocookie.com/embed/lFmeZEcI54M | |
| 494d | A Level | Identify the factorised equation of a sketched cubic graph. | drfrost.org/explorer.php?ssid=1803 | https://www.youtube-nocookie.com/embed/IcjNGM2Z3V0 | |
| 494e | A Level | Identify the expanded equation of a sketched cubic graph. | drfrost.org/explorer.php?ssid=1766 | https://www.youtube-nocookie.com/embed/vkdlwRYdoJ4 | |
| 494f | A Level | Sketch the graph of a quartic function where the function is in factorised form (including quartics with a stationary point of inflection). | drfrost.org/explorer.php?ssid=1765 | https://www.youtube-nocookie.com/embed/xr_PNk-Adp0 | |
| 494g | A Level | Sketch the graph of a quintic function where the function is in factorised form. | drfrost.org/explorer.php?ssid=6090 | https://www.youtube-nocookie.com/embed/wsthzN0y8h0 | |
| 495 | A Level | Exam Practice: Using the formula y-y_1 = m(x-x_1) to find the equation of a straight line | drfrost.org/explorer.php?ssid=195 | https://www.youtube-nocookie.com/embed/qvoIpfd_JB4 | E495 |
| 495a | A Level | Determine an equation of a straight line given the gradient and one point using y-y_1=m(x-x_1) | drfrost.org/explorer.php?ssid=1109 | https://www.youtube-nocookie.com/embed/hmAp8K46KQ | K779 |
| 495b | A Level | Determine an equation of a straight line, in the form ax + by = c, parallel to another using y-y_1=m(x-x_1) | drfrost.org/explorer.php?ssid=1111 | https://www.youtube-nocookie.com/embed/noaW3XmoPqs | K781 |
| 495c | A Level | Determine an equation of a straight line, in the form ax + by = c, given two points using y-y_1=m(x-x_1) | drfrost.org/explorer.php?ssid=1110 | https://www.youtube-nocookie.com/embed/h63eGtaFIKg | K780 |
| 495d | A Level | Find an equation of a straight line, in the form ax + by = c, perpendicular to another using y-y_1=m(x-x_1) | drfrost.org/explorer.php?ssid=1112 | https://www.youtube-nocookie.com/embed/q1LMV96eSVI | K782 |
| 495e | A Level | Determine the perpendicular bisector of a line using y-y_1=m(x-x_1) | drfrost.org/explorer.php?ssid=1046 | https://www.youtube-nocookie.com/embed/Tzmsmf6VU4U | K783 |
| 495f | A Level | Determine the area of a triangle enclosed by an axis and two intersecting lines. | drfrost.org/explorer.php?ssid=1177 | https://www.youtube-nocookie.com/embed/1xGfLwQYysg | K784 |
| 495g | A Level | Determine the area of a quadrilateral enclosed by both axes and two intersecting lines. | drfrost.org/explorer.php?ssid=6091 | https://www.youtube-nocookie.com/embed/mdqD_UE_9bI | |
| 495h | A Level | Determine the equation of a line for a given context using y-y_1=m(x-x_1) | drfrost.org/explorer.php?ssid=1927 | https://www.youtube-nocookie.com/embed/sL-ZRrnNzUg | |
| 495i | A Level | Determine the area of a triangle given by 3 coordinates, given the equation of a line between two of them. | drfrost.org/explorer.php?ssid=6092 | https://www.youtube-nocookie.com/embed/dw7eCEuYgX4 | |
| 496 | A Level, Secondary | Exam Practice: Coordinate geometry on circles and the equation of a circle with any centre | drfrost.org/explorer.php?ssid=196 | https://www.youtube-nocookie.com/embed/0P9LdIjAjAw | E496 |
| 496a | A Level, Secondary | Determine the equation of a circle, not centred at the origin, given its centre and an integer radius. | drfrost.org/explorer.php?ssid=1019 | https://www.youtube-nocookie.com/embed/LbeOq1U6Osk | K786 |
| 496b | A Level, Secondary | Determine the equation of a circle, not centred at the origin, which is drawn. | drfrost.org/explorer.php?ssid=1043 | https://www.youtube-nocookie.com/embed/6MKHyNSMW9U | K700 |
| 496c | A Level, Secondary | Write down the equation of a circle, not centred at the origin, given its centre and radius as a surd. | drfrost.org/explorer.php?ssid=1045 | https://www.youtube-nocookie.com/embed/Ks69CIlXp88 | K701 |
| 496d | A Level, Secondary | Determine the centre and radius of a circle given in completed square form. | drfrost.org/explorer.php?ssid=8392 | https://www.youtube-nocookie.com/embed/-XTshLbrFeE | |
| 496e | A Level, Secondary | Determine the equation of a circle, with given centre and radius/diameter, in expanded form. | drfrost.org/explorer.php?ssid=1922 | https://www.youtube-nocookie.com/embed/Y_SXFnQmg88 | |
| 496f | A Level, Secondary | Plot the graph of a circle not centred at the origin. | drfrost.org/explorer.php?ssid=1101 | https://www.youtube-nocookie.com/embed/pOBNusuuoiA | K702 |
| 496g | A Level, Secondary | Appreciate that a point on the circumference of a circle, not centred at the origin, satisfies its equation. | drfrost.org/explorer.php?ssid=8394 | ||
| 496h | A Level, Secondary | Determine the intercepts of circle given its equation. | drfrost.org/explorer.php?ssid=1806 | https://www.youtube-nocookie.com/embed/pOBNusuuoiA | |
| 496i | A Level, Secondary | Determine a constant in the equation of a circle given a point on the circumference. | drfrost.org/explorer.php?ssid=8417 | https://www.youtube-nocookie.com/embed/pnEE87s63Gc | |
| 496j | A Level, Secondary | Determine the equation of a circle using the endpoints of the diameter. | drfrost.org/explorer.php?ssid=1017 | https://www.youtube-nocookie.com/embed/iYntIJCSN6E | K787 |
| 496k | A Level, Secondary | Complete the square to determine the centre and radius of a circle. | drfrost.org/explorer.php?ssid=1016 | https://www.youtube-nocookie.com/embed/DG-w3VQqxKw | K785 |
| 496l | A Level, Secondary | Determine the valid range of values for a constant in the equation of a circle. | drfrost.org/explorer.php?ssid=1935 | https://www.youtube-nocookie.com/embed/x2uhY1wuvnY | |
| 496m | A Level, Secondary | Determine the equation of a circle using simple reasoning to establish the centre or radius of the circle. | drfrost.org/explorer.php?ssid=6093 | https://www.youtube-nocookie.com/embed/FSon7iCMPTQ | |
| 496n | A Level, Secondary | Use the coordinates of the endpoint of chord of a circle and the radius to determine the circle's centre. | drfrost.org/explorer.php?ssid=1807 | https://www.youtube-nocookie.com/embed/zeVRNBxIm1k | |
| 496o | A Level, Secondary | Determine the coordinate of a centre of a circle given its radius and the length of a tangent. | drfrost.org/explorer.php?ssid=6094 | https://www.youtube-nocookie.com/embed/9NMRwKq2g_4 | |
| 496p | A Level, Secondary | Determine the tangent to a circle centred at any point. | drfrost.org/explorer.php?ssid=1021 | https://www.youtube-nocookie.com/embed/rIXLDgWOTRc | K789 |
| 496q | A Level, Secondary | Determine the shortest distance between two circles with given equations. | drfrost.org/explorer.php?ssid=6096 | https://www.youtube-nocookie.com/embed/U2TXJts0tKI | |
| 496r | A Level, Secondary | Determine whether circles overlap or touch. | drfrost.org/explorer.php?ssid=6095 | https://www.youtube-nocookie.com/embed/wdtD2vaPC-8 | |
| 496s | A Level, Secondary | Determine the length of a tangent from a point to a circle with given equation. | drfrost.org/explorer.php?ssid=6097 | https://www.youtube-nocookie.com/embed/UMOwOMYflsg | |
| 496t | A Level, Secondary | Determine the shortest distance from a chord of the circle of given length to the centre of the circle. | drfrost.org/explorer.php?ssid=8418 | https://www.youtube-nocookie.com/embed/M4Zj7Ly7vgk | |
| 496u | A Level, Secondary | Determine whether a straight line cuts or is tangent to a circle. | drfrost.org/explorer.php?ssid=1917 | ||
| 496v | A Level, Secondary | Determine the equation of a tangent to a circle that is parallel to another given tangent. | drfrost.org/explorer.php?ssid=1804 | https://www.youtube-nocookie.com/embed/kJGm1G-fK-k | |
| 496w | A Level, Secondary | Determine the equation of a circle given the coordinates of 3 points. | drfrost.org/explorer.php?ssid=6098 | https://www.youtube-nocookie.com/embed/hJb84tE-wX4 | |
| 497 | A Level | Exam Practice: Algebraic division | drfrost.org/explorer.php?ssid=362 | E497 | |
| 497a | A Level | Determine a factor from algebraic division of a quadratic or cubic expression, given another factor (no zero coefficients). | drfrost.org/explorer.php?ssid=6099 | ||
| 497b | A Level | Determine a factor from algebraic division of a cubic expression with zero coefficients, given another factor. | drfrost.org/explorer.php?ssid=8590 | ||
| 497c | A Level | Determine a factor from algebraic division of a polynomial of degree >3 given another factor. | drfrost.org/explorer.php?ssid=6100 | ||
| 497d | A Level | Determine the quotient and remainder from an algebraic division (no zero coefficients). | drfrost.org/explorer.php?ssid=6101 | ||
| 497e | A Level | Determine the quotient and remainder from an algebraic division (with zero coefficients). | drfrost.org/explorer.php?ssid=6102 | ||
| 497f | A Level | Determine the quotient and remainder for a division by a quadratic expression. | drfrost.org/explorer.php?ssid=8692 | ||
| 497g | A Level | Turn a top-heavy algebraic fraction into a form involving a quotient and remainder. | drfrost.org/explorer.php?ssid=6103 | ||
| 497h | A Level | Determine the original function given the divisor, quotient and remainder. | drfrost.org/explorer.php?ssid=1827 | ||
| 498 | Secondary, A Level | Exam Practice: The factor theorem | drfrost.org/explorer.php?ssid=182 | https://www.youtube-nocookie.com/embed/VUKuwXspxTI | E498 |
| 498a | Secondary, A Level | Determine whether a linear expression is a factor of a polynomial. | drfrost.org/explorer.php?ssid=1896 | ||
| 498b | Secondary, A Level | Determine a factor of a polynomial using the factor theorem. | drfrost.org/explorer.php?ssid=8419 | ||
| 498c | Secondary, A Level | Factorise a cubic when one of the factors is known. | drfrost.org/explorer.php?ssid=1821 | ||
| 498d | Secondary, A Level | Factorise a cubic expression using the factor theorem, where a factor is not known. | drfrost.org/explorer.php?ssid=1091 | K791 | |
| 498e | Secondary, A Level | Factorise the sum and difference of two cubes. | drfrost.org/explorer.php?ssid=6104 | ||
| 498f | Secondary, A Level | Use the factor theorem to find a unknown coefficient. | drfrost.org/explorer.php?ssid=1090 | K790 | |
| 498g | Secondary, A Level | Use the factor theorem to find two unknown coefficients. | drfrost.org/explorer.php?ssid=1839 | ||
| 499 | A Level | Exam Practice: The remainder theorem | drfrost.org/explorer.php?ssid=4341 | E499 | |
| 499a | A Level | Determine the remainder when a polynomial is divided by a linear expression. | drfrost.org/explorer.php?ssid=6105 | ||
| 499b | A Level | Use the remainder theorem to find an unknown coefficient. | drfrost.org/explorer.php?ssid=6106 | ||
| 499c | A Level | Use the remainder theorem to find two unknown coefficients. | drfrost.org/explorer.php?ssid=6107 | ||
| 500 | A Level | Exam Practice: Solving cubic and quartic equations, or polynomials of higher degree | drfrost.org/explorer.php?ssid=427 | https://www.youtube-nocookie.com/embed/FEke3XrV1es | E500 |
| 500a | A Level | Solve cubic equations given in the form x^3 + bx^2 + cx = 0, solvable by factorisation. | drfrost.org/explorer.php?ssid=1688 | ||
| 500b | A Level | Solve cubic equations given in the form ax^3 + bx^2 + cx = 0, solvable by factorisation. | drfrost.org/explorer.php?ssid=1689 | ||
| 500c | A Level | Solve cubic equations using the factor theorem, given one of the roots. | drfrost.org/explorer.php?ssid=6108 | ||
| 500d | A Level | Solve cubic equations given in the form x^3 + bx^2 + cx +d = 0, solvable by factorisation. | drfrost.org/explorer.php?ssid=8707 | ||
| 500e | A Level | Solve cubic equations given in the form ax^3 + bx^2 + cx +d= 0, solvable by factorisation. | drfrost.org/explorer.php?ssid=8708 | ||
| 500f | A Level | Solve cubic equations with only one rational solution. | drfrost.org/explorer.php?ssid=8699 | ||
| 501 | A Level, Secondary | Exam Practice: Binomial expansion of (a + bx)^n where n is a positive integer | drfrost.org/explorer.php?ssid=198 | E501 | |
| 501a | A Level, Secondary | Expand (x + b)^n, where n is a positive integer up to 6, using Pascal's triangle. | drfrost.org/explorer.php?ssid=1820 | ||
| 501b | A Level, Secondary | Expand (x - b)^n, where n is a positive integer up to 6, using Pascal's triangle. | drfrost.org/explorer.php?ssid=1831 | ||
| 501c | A Level, Secondary | Expand (ax \pm b)^n, where n is a positive integer up to 6, using Pascal's triangle. | drfrost.org/explorer.php?ssid=903 | K792 | |
| 501d | A Level, Secondary | Find the first few terms of the expansion of (ax + b)^n, with n>6, using the choose function. | drfrost.org/explorer.php?ssid=6109 | ||
| 501e | A Level, Secondary | Find the first few terms of the expansion of (ax - b)^n, with n>6, using the choose function. | drfrost.org/explorer.php?ssid=8579 | ||
| 501f | A Level, Secondary | Determine the value of a coefficient in a binomial expansion with a positive integer power. | drfrost.org/explorer.php?ssid=904 | K793 | |
| 501g | A Level, Secondary | Expand (ax \pm b)^n for positive integers n, where b is fractional. | drfrost.org/explorer.php?ssid=1835 | ||
| 501h | A Level, Secondary | Expand (a + bx)^n for positive integers n, where b is algebraic. | drfrost.org/explorer.php?ssid=1836 | ||
| 501i | A Level, Secondary | Use a binomial expansion to reason about terms in the expansion of (a + bx)^n (c + dx) | drfrost.org/explorer.php?ssid=1847 | ||
| 501j | A Level, Secondary | Use a binomial expansion to estimate the value of k^n | drfrost.org/explorer.php?ssid=1872 | ||
| 501k | A Level, Secondary | Reason about the b and n in (a + bx)^n given known coefficients of terms in the binomial expansion. | drfrost.org/explorer.php?ssid=1885 | ||
| 501l | A Level, Secondary | Use a relationship between the coefficients of terms in a binomial expansion to determine an unknown constant. | drfrost.org/explorer.php?ssid=1934 | ||
| 501m | A Level, Secondary | Reason about or determine terms of a binomial expansion where one of the terms in the binomial is a reciprocal. | drfrost.org/explorer.php?ssid=6110 | ||
| 501n | A Level, Secondary | Expand (ax+\frac{b}{x})^n, where n is a positive integer. | drfrost.org/explorer.php?ssid=6111 | ||
| 502 | A Level, Secondary | Exam Practice: Constructing proofs involving \sin, \cos and \tan (excluding double angle formulae), and simplifying expressions | drfrost.org/explorer.php?ssid=213 | https://www.youtube-nocookie.com/embed/i2T1t-G_93U | E502 |
| 502a | A Level, Secondary | Determine exact values of \sin, \cos and \tan using another known trigonometric ratio, for acute angles. | drfrost.org/explorer.php?ssid=1108 | K800 | |
| 502b | A Level, Secondary | Determine exact values of \sin, \cos and \tan using another known trigonometric ratio, for obtuse or reflex angles. | drfrost.org/explorer.php?ssid=6112 | ||
| 502c | A Level, Secondary | Determine exact values of \sin, \cos and \tan using another known trigonometric ratio in terms of an algebraic expression. | drfrost.org/explorer.php?ssid=6118 | ||
| 502d | A Level, Secondary | Prove that \sin^2 x + \cos^2 x \equiv 1 | drfrost.org/explorer.php?ssid=6113 | ||
| 502e | A Level, Secondary | Switch between \sin^2 and \cos^2 for expressions given in the form a \sin^2 bx or a \cos^2 bx | drfrost.org/explorer.php?ssid=6114 | ||
| 502f | A Level, Secondary | Write an expression given in the form a \sin^2 x + b \cos^2 x in terms of just \sin or \cos | drfrost.org/explorer.php?ssid=6115 | ||
| 502g | A Level, Secondary | Prove that \tan x \equiv \frac{\sin x}{\cos x} | drfrost.org/explorer.php?ssid=6117 | ||
| 502h | A Level, Secondary | Simplify a trigonometric expression by splitting a fraction. | drfrost.org/explorer.php?ssid=6116 | ||
| 502i | A Level, Secondary | Simplify a trigonometric expression by using the identity \sin^2 x + \cos^2 x \equiv 1 and \tan x = \frac{\sin x}{\cos x} | drfrost.org/explorer.php?ssid=2105 | ||
| 502j | A Level, Secondary | Simplify a trigonometric expression involving \tan^2 x or \tan^3 x | drfrost.org/explorer.php?ssid=2130 | ||
| 502k | A Level, Secondary | Simplify an algebraic fraction in terms of \sin and \cos using quadratic factorisation. | drfrost.org/explorer.php?ssid=6119 | ||
| 503 | A Level | Exam Practice: Solving trigonometric equations, involving \sin, \cos and \tan, in an interval in degrees | drfrost.org/explorer.php?ssid=207 | https://www.youtube-nocookie.com/embed/U3MKPIzoC7I | E503 |
| 503a | A Level | Solve a trigonometric equation given in the form \sin x = k where x is in degrees. | drfrost.org/explorer.php?ssid=874 | K796 | |
| 503b | A Level | Solve a trigonometric equation given in the form \sin(ax) = k where x is in degrees. | drfrost.org/explorer.php?ssid=6120 | ||
| 503c | A Level | State the number of solutions to a trigonometric equation given in the form \sin(ax) = k or \cos(ax) = k or \tan(ax) = k for a given range. | drfrost.org/explorer.php?ssid=6121 | ||
| 503d | A Level | Solve a trigonometric equation given in the form \sin (ax+b) = k where x is in degrees and k is positive. | drfrost.org/explorer.php?ssid=875 | K797 | |
| 503e | A Level | Solve a trigonometric equation given in the form \sin (ax+b) = k where x is in degrees and k is negative. | drfrost.org/explorer.php?ssid=6122 | ||
| 503f | A Level | Solve trigonometric equations given in the form \sin^2 x=a where x is in degrees. | drfrost.org/explorer.php?ssid=1624 | ||
| 503g | A Level | Solve a trigonometric equation in terms of \sin(ax) where the equation involves a fraction. | drfrost.org/explorer.php?ssid=6123 | ||
| 503h | A Level | Determine the value of \tan x given an equation in the form p\sin(x) = q\cos(x) | drfrost.org/explorer.php?ssid=6124 | ||
| 503i | A Level | Solve a trigonometric equation given in the form p\sin (ax+b) = q\cos (ax+b) | drfrost.org/explorer.php?ssid=1685 | ||
| 503j | A Level | Solve a quadratic equation involving a single trigonometric function. | drfrost.org/explorer.php?ssid=892 | K798 | |
| 503k | A Level | Solve a trigonometric equation involving a mixture of \sin and \cos where one is squared. | drfrost.org/explorer.php?ssid=893 | K799 | |
| 503l | A Level | Solve a trigonometric equation involving \tan and either \sin or \cos | drfrost.org/explorer.php?ssid=6125 | ||
| 503m | A Level | Determine the constants in y = \sin(ax + b) given its roots on the graph. | drfrost.org/explorer.php?ssid=6126 | ||
| 503n | A Level | Use the solutions from a trigonometric equation to deduce the solutions to a related equation. | drfrost.org/explorer.php?ssid=8903 | ||
| 503o | A Level | Solve a trigonometric equation from a modelled scenario. | drfrost.org/explorer.php?ssid=6127 | ||
| 504 | A Level | Exam Practice: Writing vectors in terms of unit vectors | drfrost.org/explorer.php?ssid=4342 | E504 | |
| 504a | A Level | Write a column vector in \textbf{i}-\textbf{j}-\textbf{k} form. | drfrost.org/explorer.php?ssid=6128 | ||
| 504b | A Level | Write a vector in \textbf{i}-\textbf{j}-\textbf{k} form as a column vector. | drfrost.org/explorer.php?ssid=6129 | ||
| 504c | A Level | Add and subtract vectors written in \textbf{i}-\textbf{j}-\textbf{k} form. | drfrost.org/explorer.php?ssid=6130 | ||
| 504d | A Level | Calculate the magnitude of a 2D vector written in \textbf{i}-\textbf{j} form. | drfrost.org/explorer.php?ssid=944 | K801 | |
| 504e | A Level | Calculate the magnitude of a 3D vector written in \textbf{i}-\textbf{j}-\textbf{k} form. | drfrost.org/explorer.php?ssid=6131 | ||
| 504f | A Level | Convert a 2D or 3D vector in either column vector or \textbf{i}-\textbf{j}-\textbf{k} form to a unit vector. | drfrost.org/explorer.php?ssid=8304 | ||
| 505 | A Level | Exam Practice: Position vectors and the distance between two points from their position vectors | drfrost.org/explorer.php?ssid=269 | E505 | |
| 505a | A Level | Determine a 2D or 3D position vector given another position vector and the vector between them. | drfrost.org/explorer.php?ssid=946 | K803 | |
| 505b | A Level | Determine the vector between two 2D or 3D position vectors. | drfrost.org/explorer.php?ssid=1728 | ||
| 505c | A Level | Determine the position vector of a point that divides the vector between positions in a given ratio. | drfrost.org/explorer.php?ssid=8565 | ||
| 505d | A Level | Calculate the distance between two 2D or 3D position vectors. | drfrost.org/explorer.php?ssid=1730 | ||
| 505e | A Level | Determine the coordinate of a point given a mixture of position vectors and vectors between them. | drfrost.org/explorer.php?ssid=8617 | ||
| 505f | A Level | Determine an unknown component of a position vector for collinear points. | drfrost.org/explorer.php?ssid=8618 | ||
| 506 | A Level | Exam Practice: Trigonometry involving vectors | drfrost.org/explorer.php?ssid=545 | E506 | |
| 506a | A Level | Determine the angle between a vector and the x or y axis. | drfrost.org/explorer.php?ssid=945 | K802 | |
| 506b | A Level | Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. | drfrost.org/explorer.php?ssid=6132 | ||
| 507 | A Level | Exam Practice: Limit notation and limiting values from graphs or tables | drfrost.org/explorer.php?ssid=443 | E507 | |
| 507a | A Level | Determine a limit from a graph. | drfrost.org/explorer.php?ssid=6133 | ||
| 507b | A Level | Determine a one-sided limit using a graph (excluding asymptotes). | drfrost.org/explorer.php?ssid=6134 | ||
| 507c | A Level | Determine a one-sided limit involving an asymptote. | drfrost.org/explorer.php?ssid=6135 | ||
| 507d | A Level | Estimate a limit from a table of values. | drfrost.org/explorer.php?ssid=6136 | ||
| 507e | A Level | Estimate a one-sided limit from a table of values. | drfrost.org/explorer.php?ssid=6137 | ||
| 507f | A Level | Determine the limit of a function by direct substitution into the function, including where the value is unbounded. | drfrost.org/explorer.php?ssid=6138 | ||
| 507g | A Level | Determine limits of trigonometric functions for a given value (in degrees) by substitution. | drfrost.org/explorer.php?ssid=6139 | ||
| 507h | A Level | Determine the limit for a continuous piecewise function by substitution. | drfrost.org/explorer.php?ssid=6140 | ||
| 508 | A Level | Exam Practice: Combining limits using graphs | drfrost.org/explorer.php?ssid=4343 | E508 | |
| 508a | A Level | Determine the limit of a product of two functions given the graphs of each. | drfrost.org/explorer.php?ssid=6141 | ||
| 508b | A Level | Determine the limit of a division of two functions given the graphs of each. | drfrost.org/explorer.php?ssid=6142 | ||
| 508c | A Level | Determine the limit of a composite function f(g(x)) where the limit of each function exists. | drfrost.org/explorer.php?ssid=6143 | ||
| 508d | A Level | Determine the limit of a composite function f(g(x)) where the limit of g does not exist but the limit of f(g(x)) does. | drfrost.org/explorer.php?ssid=6144 | ||
| 508e | A Level | Determine the limit of a composite function f(g(x)) where the limit of g exists but the limit of f does not. | drfrost.org/explorer.php?ssid=6145 | ||
| 509 | A Level | Exam Practice: Determining limits for a finite value using algebraic manipulation | drfrost.org/explorer.php?ssid=4344 | E509 | |
| 509a | A Level | Know the 7 different indeterminate forms and understand that we need strategies to deal with these when encountered in limits. | drfrost.org/explorer.php?ssid=6146 | ||
| 509b | A Level | Determine a limit of an indeterminate form \frac{0}{0} by simplifying an algebraic fraction. | drfrost.org/explorer.php?ssid=6147 | ||
| 509c | A Level | Determine a limit of an indeterminate form \frac{0}{0} by rationalising a denominator of a fraction. | drfrost.org/explorer.php?ssid=6148 | ||
| 509d | A Level | Determine a limit of an indeterminate form \frac{0}{0} where a surd occurs in the numerator. | drfrost.org/explorer.php?ssid=6149 | ||
| 510 | A Level | Exam Practice: Unbounded limits and determining limits to infinity (including limiting values of sequences) | drfrost.org/explorer.php?ssid=4345 | E510 | |
| 510a | A Level | Determine a one-ended limit corresponding to a vertical asymptote. | drfrost.org/explorer.php?ssid=6150 | ||
| 510b | A Level | Determine the limit to \pm\infty/end behaviour given the graph of a function. | drfrost.org/explorer.php?ssid=6151 | ||
| 510c | A Level | Determine the limit to \infty involving a linear expression in the numerator and denominator. | drfrost.org/explorer.php?ssid=6152 | ||
| 510d | A Level | Determine the limit to \infty involving quadratic expressions (and greater degree) in the numerator and denominator. | drfrost.org/explorer.php?ssid=6153 | ||
| 510e | A Level | Determine the limiting value of a fractional nth term formula with a linear expression in the numerator and denominator. | drfrost.org/explorer.php?ssid=1928 | ||
| 510f | A Level | Determine the limiting value of a fractional nth term formula with a quadratic expression in the numerator and denominator. | drfrost.org/explorer.php?ssid=6154 | ||
| 510g | A Level | Determine the limit to \pm\infty for more general functions. | drfrost.org/explorer.php?ssid=6155 | ||
| 510h | A Level | Determine the equation of a horizontal asymptote(s) of a graph by considering the limits to \pm\infty | drfrost.org/explorer.php?ssid=6156 | ||
| 510i | A Level | Determine the limit for \pm\infty for quotients involving a square root. | drfrost.org/explorer.php?ssid=6157 | ||
| 511 | A Level | Exam Practice: Differentiating from first principles for small positive powers of x | drfrost.org/explorer.php?ssid=219 | https://www.youtube-nocookie.com/embed/ztlTJZSzX9o | E511 |
| 511a | A Level | Use a secant line to obtain an initial expression for a limiting gradient for a function (x^n terms only). | drfrost.org/explorer.php?ssid=6158 | ||
| 511b | A Level | Differentiate from first principles and simplify to obtain an expression for the gradient of a secant line as an approximation to the gradient of a tangent line (x^n terms only). | drfrost.org/explorer.php?ssid=6159 | ||
| 512 | Secondary, A Level | Exam Practice: Differentiating x^n for rational values of n | drfrost.org/explorer.php?ssid=221 | https://www.youtube-nocookie.com/embed/ufoD67KuSUw | E512 |
| 512a | Secondary, A Level | Differentiate a single term given in the form ax^b | drfrost.org/explorer.php?ssid=1243 | https://www.youtube-nocookie.com/embed/6RbXSOeo2p0 | K804 |
| 512b | Secondary, A Level | Differentiate a collection of terms with integer powers. | drfrost.org/explorer.php?ssid=631 | K699 | |
| 512c | Secondary, A Level | Differentiate a collection of terms given in the form ax^b | drfrost.org/explorer.php?ssid=905 | https://www.youtube-nocookie.com/embed/AC5l5eJmYnk | K805 |
| 512d | Secondary, A Level | Differentiate a collection of terms given in the form ax^b involving an algebraic coefficient. | drfrost.org/explorer.php?ssid=8492 | ||
| 512e | Secondary, A Level | Differentiate x^n to find the gradient of a tangent to a curve (i.e. the instantaneous rate of change) at a given point. | drfrost.org/explorer.php?ssid=1580 | K996 | |
| 512f | Secondary, A Level | Determine the value of x which gives rise to a given gradient of the tangent to a curve. | drfrost.org/explorer.php?ssid=8451 | ||
| 512g | Secondary, A Level | Determine the value of a constant given the gradient of the tangent to a curve at a point. | drfrost.org/explorer.php?ssid=8854 | ||
| 512h | Secondary, A Level | Differentiate a polynomial expression requiring bracket expansion. | drfrost.org/explorer.php?ssid=911 | https://www.youtube-nocookie.com/embed/2TmZfFRO1ko | K807 |
| 512i | Secondary, A Level | Differentiate a collection of terms that require rewriting in the form ax^b | drfrost.org/explorer.php?ssid=906 | https://www.youtube-nocookie.com/embed/tYVHcXTrLBg | K806 |
| 512j | Secondary, A Level | Differentiate a polynomial expression written as a fraction with a single term on the denominator. | drfrost.org/explorer.php?ssid=910 | K808 | |
| 512k | Secondary, A Level | Differentiate an expression written as a fraction with a single term on the denominator and that contains a root. | drfrost.org/explorer.php?ssid=1729 | ||
| 513 | A Level | Exam Practice: Mean value theorem and Rolle's theorem | drfrost.org/explorer.php?ssid=4346 | E513 | |
| 513a | A Level | Identify the gradient that must exist in an interval of a function by the Mean Value Theorem. | drfrost.org/explorer.php?ssid=6160 | ||
| 513b | A Level | Identify the point on a graph whose gradient satisfies the Mean Value Theorem. | drfrost.org/explorer.php?ssid=6161 | ||
| 513c | A Level | Understand and apply Rolle's theorem. | drfrost.org/explorer.php?ssid=6162 | ||
| 514 | A Level | Exam Practice: Differentiability of functions | drfrost.org/explorer.php?ssid=4347 | E514 | |
| 514a | A Level | Determine the values on a graph for which the function is not differentiable. | drfrost.org/explorer.php?ssid=6163 | ||
| 514b | A Level | Determine the values for which a piecewise function is not differentiable. | drfrost.org/explorer.php?ssid=6164 | ||
| 514c | A Level | Identify cusps by examining the behaviour nearby. | drfrost.org/explorer.php?ssid=6165 | ||
| 515 | Secondary, A Level | Exam Practice: Second derivative of a polynomial function (involving powers of x only) | drfrost.org/explorer.php?ssid=220 | https://www.youtube-nocookie.com/embed/NoUjqjJd07Q | E515 |
| 515a | Secondary, A Level | Determine the second derivative of a function. | drfrost.org/explorer.php?ssid=934 | K812 | |
| 515b | Secondary, A Level | Evaluate the second derivative of a function at a specific point. | drfrost.org/explorer.php?ssid=6166 | ||
| 515c | Secondary, A Level | Determine the point on a curve which has a given second derivative. | drfrost.org/explorer.php?ssid=8655 | ||
| 516 | Secondary, A Level | Exam Practice: Increasing and decreasing polynomial functions (involving powers of x only) | drfrost.org/explorer.php?ssid=224 | https://www.youtube-nocookie.com/embed/-N_H9LDsR04 | E516 |
| 516a | Secondary, A Level | Understand the terms increasing and decreasing and apply to a drawn graph. | drfrost.org/explorer.php?ssid=6167 | ||
| 516b | Secondary, A Level | Determine the interval for which a quadratic function is increasing or decreasing. | drfrost.org/explorer.php?ssid=6168 | ||
| 516c | Secondary, A Level | Determine whether a function is increasing or decreasing at a specific point on the curve. | drfrost.org/explorer.php?ssid=6169 | ||
| 516d | Secondary, A Level | Determine the interval for which a cubic function is increasing or decreasing. | drfrost.org/explorer.php?ssid=935 | K811 | |
| 516e | Secondary, A Level | Prove that a function is increasing or decreasing. | drfrost.org/explorer.php?ssid=6170 | ||
| 516f | Secondary, A Level | Determine the range of values for which a function is increasing/decreasing involving a reciprocal term. | drfrost.org/explorer.php?ssid=6171 | ||
| 517 | Secondary, A Level | Exam Practice: Maxima and minima and stationary points for powers of x | drfrost.org/explorer.php?ssid=223 | https://www.youtube-nocookie.com/embed/v1KWoPYFHj0 | E517 |
| 517a | Secondary, A Level | Determine the stationary point of a quadratic function using differentiation. | drfrost.org/explorer.php?ssid=6172 | ||
| 517b | Secondary, A Level | Determine the stationary points of a cubic function. | drfrost.org/explorer.php?ssid=6173 | ||
| 517c | Secondary, A Level | Determine the stationary points of a quartic function or higher power. | drfrost.org/explorer.php?ssid=8488 | ||
| 517d | Secondary, A Level | Determine whether a stationary point is a maximum or minimum by using the second derivative. | drfrost.org/explorer.php?ssid=1261 | K814 | |
| 517e | Secondary, A Level | Determine whether a stationary point is a maximum, minimum or point of inflection by using the gradients either side of the point. | drfrost.org/explorer.php?ssid=6174 | ||
| 517f | Secondary, A Level | Determine the stationary points of a curve involving negative powers of x | drfrost.org/explorer.php?ssid=6175 | ||
| 517g | Secondary, A Level | Determine the stationary points of a curve involving roots and fractional powers of x | drfrost.org/explorer.php?ssid=8489 | ||
| 517h | Secondary, A Level | Determine the maximum or minimum value of a function within a closed interval. | drfrost.org/explorer.php?ssid=8619 | ||
| 517i | Secondary, A Level | Draw a cubic graph by using its stationary points. | drfrost.org/explorer.php?ssid=6176 | ||
| 517j | Secondary, A Level | Determine coefficients of an equation given a turning point. | drfrost.org/explorer.php?ssid=1514 | K715 | |
| 517k | Secondary, A Level | Determine the turning point of a sketched cubic graph, where one turning point touches the x-axis. | drfrost.org/explorer.php?ssid=6177 | ||
| 517l | Secondary, A Level | Use the discriminant to determine the number of stationary points of a cubic function. | drfrost.org/explorer.php?ssid=6178 | ||
| 517m | Secondary, A Level | Determine the number of roots of cubic, quartic and quintic equations by considering turning points. | drfrost.org/explorer.php?ssid=6179 | ||
| 518 | A Level | Exam Practice: Optimisation problems involving powers of x | drfrost.org/explorer.php?ssid=4348 | E518 | |
| 518a | A Level | Form an expression for a physical quantity in terms of one variable by combining an expression to optimise with a constraint equation. | drfrost.org/explorer.php?ssid=6180 | ||
| 518b | A Level | Use differentiation to find the minimum or maximum value of a physical quantity, and the value of a controllable quantity that gives rise to this. | drfrost.org/explorer.php?ssid=6181 | ||
| 518c | A Level | Determine whether the optimum value for a physical quantity was a minimum or maximum. | drfrost.org/explorer.php?ssid=6182 | ||
| 519 | A Level | Exam Practice: Sketching the gradient function for a given curve, e.g. in relation to speed and acceleration | drfrost.org/explorer.php?ssid=218 | https://www.youtube-nocookie.com/embed/86VF9JFSZqI | E519 |
| 519a | A Level | Reason about a sketched gradient function. | drfrost.org/explorer.php?ssid=1258 | K815 | |
| 519b | A Level | Sketch a gradient function when the original function is a quadratic. | drfrost.org/explorer.php?ssid=6183 | ||
| 519c | A Level | Sketch a gradient function when the original function is a cubic. | drfrost.org/explorer.php?ssid=6184 | ||
| 519d | A Level | Sketch a gradient function for a more general function, potentially including points of inflection and a horizontal asymptote. | drfrost.org/explorer.php?ssid=6185 | ||
| 520 | Secondary, A Level | Exam Practice: Equations of tangents and normals (powers of x only) | drfrost.org/explorer.php?ssid=222 | https://www.youtube-nocookie.com/embed/JW_VOWTm-Rc | E520 |
| 520a | Secondary, A Level | Determine the equation of a tangent or normal to a curve at a turning point. | drfrost.org/explorer.php?ssid=6186 | ||
| 520b | Secondary, A Level | Determine the equation of the tangent or normal to a curve at a given point, where the gradient function is given. | drfrost.org/explorer.php?ssid=6187 | ||
| 520c | Secondary, A Level | Find an equation of a tangent to a polynomial curve. | drfrost.org/explorer.php?ssid=913 | K809 | |
| 520d | Secondary, A Level | Find an equation of a normal to a polynomial curve. | drfrost.org/explorer.php?ssid=914 | K810 | |
| 520e | Secondary, A Level | Determine the coordinate of a point on a curve given the function and the gradient of the tangent or normal. | drfrost.org/explorer.php?ssid=6188 | ||
| 520f | Secondary, A Level | Determine the coordinate of a point on a curve given the equation of a line parallel to the tangent or normal. | drfrost.org/explorer.php?ssid=6189 | ||
| 520g | Secondary, A Level | Determine the equation of a tangent or normal to a curve where the function involves fractional or negative powers. | drfrost.org/explorer.php?ssid=6190 | ||
| 520h | Secondary, A Level | Determine the equation of the tangent or normal of a curve at an intercept with the axes. | drfrost.org/explorer.php?ssid=6191 | ||
| 520i | Secondary, A Level | Determine the coordinates of the point where a tangent or normal to a curve at one point intercepts with the coordinate axes. | drfrost.org/explorer.php?ssid=6192 | ||
| 520j | Secondary, A Level | Determine the equation of the tangent or normal of a curve in the form ax + by + c = 0 | drfrost.org/explorer.php?ssid=6193 | ||
| 520k | Secondary, A Level | Determine a triangular area formed by a tangent or normal to a curve. | drfrost.org/explorer.php?ssid=6194 | ||
| 520l | Secondary, A Level | Determine the coordinates of the point where a tangent or normal to a curve at one point intercepts with the curve again. | drfrost.org/explorer.php?ssid=6195 | ||
| 520m | Secondary, A Level | Determine an unknown coefficient in a function given the gradient of the tangent/normal. | drfrost.org/explorer.php?ssid=6196 | ||
| 520n | Secondary, A Level | Determine an unknown coefficient in a function given the tangent/normal to the curve is parallel to another line. | drfrost.org/explorer.php?ssid=6197 | ||
| 520o | Secondary, A Level | Determine an unknown coefficient or constant in the equation of a tangent or normal. | drfrost.org/explorer.php?ssid=6198 | ||
| 521 | Secondary, A Level | Exam Practice: Integrating x^n (excluding n=-1) for rational n | drfrost.org/explorer.php?ssid=228 | https://www.youtube-nocookie.com/embed/1Gic04ANEeQ | E521 |
| 521a | Secondary, A Level | Integrate a collection of terms in the form ax^b | drfrost.org/explorer.php?ssid=938 | K816 | |
| 521b | Secondary, A Level | Integrate a collection of terms in the form ax^b requiring rewriting of roots and reciprocals. | drfrost.org/explorer.php?ssid=939 | K817 | |
| 521c | Secondary, A Level | Integrate an expression requiring bracket expansion. | drfrost.org/explorer.php?ssid=940 | K818 | |
| 521d | Secondary, A Level | Integrate an expression written as a fraction with a single term on the denominator. | drfrost.org/explorer.php?ssid=941 | K819 | |
| 522 | A Level | Exam Practice: Determining a function given its derivative and a point, for polynomials | drfrost.org/explorer.php?ssid=230 | https://www.youtube-nocookie.com/embed/IMzxmaPEeKg | E522 |
| 522a | A Level | Determine a function by integrating \frac{dy}{dx} | drfrost.org/explorer.php?ssid=942 | K820 | |
| 522b | A Level | Determine a function by integrating \frac{dy}{dx}in a modelled context. | drfrost.org/explorer.php?ssid=8771 | ||
| 522c | A Level | Determine a function by integrating \frac{dy}{dx} involving one or more unknown coefficients. | drfrost.org/explorer.php?ssid=8904 | ||
| 522d | A Level | Use a model obtained from a simple differential equation in the form \frac{dy}{dx} = f(x) to find inputs, outputs and long-term behaviour. | drfrost.org/explorer.php?ssid=8772 | ||
| 523 | A Level | Exam Practice: Riemann sums | drfrost.org/explorer.php?ssid=4349 | E523 | |
| 523a | A Level | Calculate the left Riemann sum of a given function with uniform partitions. | drfrost.org/explorer.php?ssid=6199 | ||
| 523b | A Level | Calculate the right Riemann sum of a given function with uniform partitions. | drfrost.org/explorer.php?ssid=6200 | ||
| 523c | A Level | Calculate the middle Riemann sum of a given function using the midpoint rule. | drfrost.org/explorer.php?ssid=6201 | ||
| 523d | A Level | Understand a definite integral as a Riemann sum in the limit where the rectangles become infinitely small. | drfrost.org/explorer.php?ssid=6202 | ||
| 524 | A Level | Exam Practice: The fundamental theorem of calculus and accumulation functions | drfrost.org/explorer.php?ssid=4350 | E524 | |
| 524a | A Level | Understand and use the accumulation function F(x) = \int^x_a f(t) \textrm{d}t | drfrost.org/explorer.php?ssid=6207 | ||
| 524b | A Level | Understand the fundamental theorem of calculus \frac{\textrm{d}}{\textrm{d}x} \left[ \int^x_a f(t) \textrm{d}t \right] = f(x) | drfrost.org/explorer.php?ssid=6208 | ||
| 525 | Secondary, A Level | Exam Practice: Evaluating definite integrals for powers of x, e.g. to find an area under a curve or area between curves | drfrost.org/explorer.php?ssid=229 | https://www.youtube-nocookie.com/embed/e5RlHoflbpI | E525 |
| 525a | Secondary, A Level | Evaluate a definite integral where the integrand is a collection of terms in the form ax^b | drfrost.org/explorer.php?ssid=943 | K821 | |
| 525b | Secondary, A Level | Evaluate a definite integral where the integrand is a collection of terms in the form ax^b, including roots, reciprocals and where splitting of fractions is required. | drfrost.org/explorer.php?ssid=6203 | ||
| 525c | Secondary, A Level | Determine definite integrals by using the areas of basic shapes. | drfrost.org/explorer.php?ssid=6204 | ||
| 525d | Secondary, A Level | Determine the area enclosed between a curve, the x-axis and two given bounds. | drfrost.org/explorer.php?ssid=1929 | ||
| 525e | Secondary, A Level | Determine the shaded area enclosed between a curve and the x-axis where the limits are roots. | drfrost.org/explorer.php?ssid=1033 | K822 | |
| 525f | Secondary, A Level | Determine the shaded area enclosed between a curve and the y-axis. | drfrost.org/explorer.php?ssid=8505 | ||
| 525g | Secondary, A Level | Determine a definite integral in terms of an algebraic limit. | drfrost.org/explorer.php?ssid=8506 | ||
| 525h | Secondary, A Level | Use a known area enclosed under a curve to determine an unknown bound or an unknown coefficient. | drfrost.org/explorer.php?ssid=6205 | ||
| 525i | Secondary, A Level | Determine an area enclosed between a curve and the x-axis where the curve goes both above and below the axis. | drfrost.org/explorer.php?ssid=1930 | ||
| 525j | Secondary, A Level | Determine the area of a composite shape using integration, by adding areas. | drfrost.org/explorer.php?ssid=1931 | ||
| 525k | Secondary, A Level | Determine the area between a curve and a line by subtraction of areas. | drfrost.org/explorer.php?ssid=1932 | ||
| 525l | Secondary, A Level | Determine the area enclosed between two curves, where the bounds are given. | drfrost.org/explorer.php?ssid=6206 | ||
| 525m | Secondary, A Level | Determine the area enclosed between two curves, where the bounds need to be determined. | drfrost.org/explorer.php?ssid=1933 | ||
| 526 | A Level | Exam Practice: Graphs of exponential functions y = e^{ax+b} + c and exponential growth and decay | drfrost.org/explorer.php?ssid=214 | https://www.youtube-nocookie.com/embed/lc1dhlKt7b8 | E526 |
| 526a | A Level | Sketch graphs given in the form y = a e^{bx} for positive b | drfrost.org/explorer.php?ssid=6209 | ||
| 526b | A Level | Sketch graphs given in the form y = a e^{bx} for negative b | drfrost.org/explorer.php?ssid=6210 | ||
| 526c | A Level | Sketch graphs given in the form y = a e^{ax + b} + c | drfrost.org/explorer.php?ssid=6211 | ||
| 526d | A Level | Determine the output of an exponential function in context. | drfrost.org/explorer.php?ssid=6212 | ||
| 526e | A Level | Determine the initial value of an exponential model involving time. | drfrost.org/explorer.php?ssid=6213 | ||
| 526f | A Level | Determine the long-term limit of an exponential model involving time. | drfrost.org/explorer.php?ssid=6214 | ||
| 527 | A Level | Exam Practice: Laws of logs (excluding \ln(x)) | drfrost.org/explorer.php?ssid=216 | https://www.youtube-nocookie.com/embed/B_kXThIyKA4 | E527 |
| 527a | A Level | Evaluate the log of a value (without a calculator). | drfrost.org/explorer.php?ssid=6219 | ||
| 527b | A Level | Convert from index form to logarithmic form. | drfrost.org/explorer.php?ssid=1727 | ||
| 527c | A Level | Solve logarithmic equations given in the form \log_{a}x=b | drfrost.org/explorer.php?ssid=915 | K824 | |
| 527d | A Level | Solve equations given in the form a^x = b using logarithms. | drfrost.org/explorer.php?ssid=6220 | ||
| 527e | A Level | Determine the x-intercept of an exponential graph. | drfrost.org/explorer.php?ssid=8620 | ||
| 527f | A Level | Use laws of logs to simplify a logarithmic expression. | drfrost.org/explorer.php?ssid=912 | K823 | |
| 527g | A Level | Use laws of logs to write a logarithm as an expression by substitution. | drfrost.org/explorer.php?ssid=1756 | ||
| 527h | A Level | Solve logarithmic equations given in the form \log[\text{f}(x)]=\log[\text{g}(x)] | drfrost.org/explorer.php?ssid=928 | K825 | |
| 527i | A Level | Solve equations using logarithm product and quotient laws (excluding power law). | drfrost.org/explorer.php?ssid=1652 | ||
| 527j | A Level | Solve logarithmic equations by using the power law. | drfrost.org/explorer.php?ssid=929 | K826 | |
| 527k | A Level | Use laws of logs to make an algebraic variable the subject. | drfrost.org/explorer.php?ssid=6221 | ||
| 527l | A Level | Solve equations which are quadratic in an exponential term (excluding e^x). | drfrost.org/explorer.php?ssid=6222 | ||
| 527m | A Level | Solve simultaneous equations involving logarithms. | drfrost.org/explorer.php?ssid=8621 | ||
| 527n | A Level | Solve equations given in the form a^{f(x)} = b^{g(x)}, for linear exponents, using logarithms. | drfrost.org/explorer.php?ssid=1734 | ||
| 527o | A Level | Use the change of base formula for logs. | drfrost.org/explorer.php?ssid=6223 | ||
| 528 | A Level | Exam Practice: Solving equations and manipulate expressions involving e^x and \ln(x) | drfrost.org/explorer.php?ssid=365 | https://www.youtube-nocookie.com/embed/LHnZs4urHV4 | E528 |
| 528a | A Level | Recognise Euler's number e and its equivalent definitions, including Bernoulli's compound interest problem. | drfrost.org/explorer.php?ssid=6224 | ||
| 528b | A Level | Solve exponential equations involving a single occurrence of e | drfrost.org/explorer.php?ssid=1103 | K827 | |
| 528c | A Level | Solve logarithmic equations involving a single occurrence of \ln | drfrost.org/explorer.php?ssid=1104 | K828 | |
| 528d | A Level | Determine the value of a physical quantity, e.g. time, in an exponential model. | drfrost.org/explorer.php?ssid=6225 | ||
| 528e | A Level | Determine the amount of time for a population to reach a multiple of the initial population. | drfrost.org/explorer.php?ssid=8622 | ||
| 528f | A Level | Determine the value of a constant in an exponential model using known quantities. | drfrost.org/explorer.php?ssid=6226 | ||
| 528g | A Level | Use laws of logs to solve equations involving \ln | drfrost.org/explorer.php?ssid=6227 | ||
| 528h | A Level | Solve equations which are quadratic in e^x | drfrost.org/explorer.php?ssid=1062 | K829 | |
| 528i | A Level | Solve equations which are quadratic in e^x after manipulation. | drfrost.org/explorer.php?ssid=6228 | ||
| 528j | A Level | Determine the point of intersection of two exponential equations with different powers. | drfrost.org/explorer.php?ssid=6229 | ||
| 528k | A Level | Solve equations given in the form a^x e^x = k | drfrost.org/explorer.php?ssid=6230 | ||
| 528l | A Level | Use a modelled scenario to determine the parameters in an exponential model y = a + be^{kx} | drfrost.org/explorer.php?ssid=8491 | ||
| 529 | A Level | Exam Practice: Graphs of \log_a(x) | drfrost.org/explorer.php?ssid=215 | https://www.youtube-nocookie.com/embed/7FG8abd7F3Y | E529 |
| 529a | A Level | Sketch y = \log(x) or y = \ln(x) | drfrost.org/explorer.php?ssid=8313 | ||
| 529b | A Level | Determine coordinates of intercepts with the axes for functions given in the form y = \log(x + a) or y = \ln(x+a) | drfrost.org/explorer.php?ssid=6215 | ||
| 529c | A Level | Sketch graphs given in the form y = \log(x + a) or y = \ln(x + a) | drfrost.org/explorer.php?ssid=6216 | ||
| 529d | A Level | Sketch graphs given in the form y = \log(a - x) or y = \ln(a - x) | drfrost.org/explorer.php?ssid=6217 | ||
| 529e | A Level | Sketch graphs given in the form y = \log(ax+b) or y = \ln(ax+b) | drfrost.org/explorer.php?ssid=6218 | ||
| 530 | A Level | Exam Practice: Using log graphs to estimate parameters in y = ax^n and y = kb^x for given data in x and y | drfrost.org/explorer.php?ssid=217 | https://www.youtube-nocookie.com/embed/4b7H6c_7W4I | E530 |
| 530a | A Level | Determine the parameters of an exponential graph y = ab^x using the equation of the line of best fit of the logged data. | drfrost.org/explorer.php?ssid=6231 | ||
| 530b | A Level | Determine the parameters of polynomial graph y = ax^b using the equation of the line of best fit of the logged data. | drfrost.org/explorer.php?ssid=6232 | ||
| 530c | A Level | Use logarithms to estimate parameters of graphs with equations in the form y=ab^x given the data points. | drfrost.org/explorer.php?ssid=1107 | K830 | |
| 530d | A Level | Use logarithms to estimate parameters of graphs with equations in the form y=ax^b given the data points. | drfrost.org/explorer.php?ssid=1106 | K831 | |
| 531 | A Level, Secondary | Exam Practice: Further sampling techniques, including systematic, quota and opportunity sampling | drfrost.org/explorer.php?ssid=298 | E531 | |
| 531a | A Level, Secondary | Identify the different types of sampling. | drfrost.org/explorer.php?ssid=1182 | K832 | |
| 531b | A Level, Secondary | Identify the most appropriate sampling technique for a given scenario. | drfrost.org/explorer.php?ssid=6234 | ||
| 531c | A Level, Secondary | Understand the relative advantages and disadvantages of different sampling techniques. | drfrost.org/explorer.php?ssid=6235 | ||
| 531d | A Level, Secondary | Identify flaws, sources of bias and potential improvements for a sampling method. | drfrost.org/explorer.php?ssid=6236 | ||
| 532 | A Level, Secondary | Exam Practice: Sigma notation and mean in a statistical context | drfrost.org/explorer.php?ssid=4351 | E532 | |
| 532a | A Level, Secondary | Calculate \Sigma x for a variable. | drfrost.org/explorer.php?ssid=6237 | ||
| 532b | A Level, Secondary | Calculate the mean of a discrete variable using the formula \bar{x} = \frac{\Sigma x}{n} | drfrost.org/explorer.php?ssid=6238 | ||
| 532c | A Level, Secondary | Calculate the mean of a grouped continuous variable using the formula \bar{x} = \frac{\Sigma fx}{\Sigma f} | drfrost.org/explorer.php?ssid=6239 | ||
| 533 | A Level, Secondary | Exam Practice: Mean absolute deviation | drfrost.org/explorer.php?ssid=4352 | E533 | |
| 533a | A Level, Secondary | Calculate the mean absolute deviation using the formula. | drfrost.org/explorer.php?ssid=6240 | ||
| 533b | A Level, Secondary | Understand the meaning of mean absolute deviation and the effect of additional values on it. | drfrost.org/explorer.php?ssid=6241 | ||
| 534 | A Level, Secondary | Exam Practice: Variance and standard deviation of grouped or ungrouped data | drfrost.org/explorer.php?ssid=301 | E534 | |
| 534a | A Level, Secondary | Understand the meaning of standard deviation and compare data sets using it. | drfrost.org/explorer.php?ssid=6242 | ||
| 534b | A Level, Secondary | State the effect on standard deviation of additional values added to the data set. | drfrost.org/explorer.php?ssid=8298 | ||
| 534c | A Level, Secondary | Calculate the standard deviation of listed data, using formulae. | drfrost.org/explorer.php?ssid=1543 | K836 | |
| 534d | A Level, Secondary | Calculate the variance of listed data, using formulae. | drfrost.org/explorer.php?ssid=6243 | ||
| 534e | A Level, Secondary | Calculate the variance or standard deviation of listed data, using a calculator. | drfrost.org/explorer.php?ssid=6244 | ||
| 534f | A Level, Secondary | Calculate the variance or standard deviation given \sum x and \sum x^2 | drfrost.org/explorer.php?ssid=1199 | K835 | |
| 534g | A Level, Secondary | Determine the variance or standard deviation of grouped data. | drfrost.org/explorer.php?ssid=1114 | K837 | |
| 534h | A Level, Secondary | Determine the variance of two combined data sets. | drfrost.org/explorer.php?ssid=6245 | ||
| 535 | Secondary | Exam Practice: Standardised scores | drfrost.org/explorer.php?ssid=4353 | E535 | |
| 535a | Secondary | Calculate a standardised score using the mean and standard deviation of scores. | drfrost.org/explorer.php?ssid=6246 | ||
| 535b | Secondary | Calculate a the value of the original variable, given its standardised score and value of the mean and standard deviation. | drfrost.org/explorer.php?ssid=6247 | ||
| 535c | Secondary | Compare two standardised scores. | drfrost.org/explorer.php?ssid=6248 | ||
| 536 | Secondary, A Level | Exam Practice: Outliers | drfrost.org/explorer.php?ssid=299 | E536 | |
| 536a | Secondary, A Level | Determine the outlier boundaries using the interquartile range. | drfrost.org/explorer.php?ssid=6249 | ||
| 536b | Secondary, A Level | Determine the outlier boundaries using the standard deviation. | drfrost.org/explorer.php?ssid=6250 | ||
| 536c | Secondary, A Level | Identify an outlier from listed data using the interquartile range. | drfrost.org/explorer.php?ssid=1189 | K843 | |
| 536d | Secondary, A Level | Identify an outlier from listed data using the standard deviation. | drfrost.org/explorer.php?ssid=6251 | ||
| 536e | Secondary, A Level | Draw a box plot with outliers (using interquartile range for the outlier boundary). | drfrost.org/explorer.php?ssid=6252 | ||
| 536f | Secondary, A Level | Draw a box plot with outliers (using standard deviation for the outlier boundary). | drfrost.org/explorer.php?ssid=6253 | ||
| 537 | Secondary | Exam Practice: Quality assurance | drfrost.org/explorer.php?ssid=4354 | E537 | |
| 537a | Secondary | Understand the process of quality insurance and the role of sampling. | drfrost.org/explorer.php?ssid=6254 | ||
| 537b | Secondary | Calculate warning and action limits. | drfrost.org/explorer.php?ssid=6255 | ||
| 537c | Secondary | Construct control charts using the mean, median or range of samples. | drfrost.org/explorer.php?ssid=6256 | ||
| 537d | Secondary | Understand what action should be taken after taking a sample and comparing to the warning and action limits. | drfrost.org/explorer.php?ssid=6257 | ||
| 538 | Secondary | Exam Practice: Weighted mean | drfrost.org/explorer.php?ssid=4355 | E538 | |
| 538a | Secondary | Determine the weighted mean of two values. | drfrost.org/explorer.php?ssid=6258 | ||
| 538b | Secondary | Determine the weighted mean of three or more values. | drfrost.org/explorer.php?ssid=6259 | ||
| 538c | Secondary | Determine the weighted mean in context. | drfrost.org/explorer.php?ssid=6260 | ||
| 538d | Secondary | Determine an unknown frequency given the weighted mean, associated weights and all other frequencies. | drfrost.org/explorer.php?ssid=6261 | ||
| 539 | Secondary | Exam Practice: Geometric mean | drfrost.org/explorer.php?ssid=4356 | E539 | |
| 539a | Secondary | Determine the geometric mean of two values. | drfrost.org/explorer.php?ssid=6262 | ||
| 539b | Secondary | Determine the geometric mean of three or more values. | drfrost.org/explorer.php?ssid=6263 | ||
| 539c | Secondary | Calculate a geometric mean in context, e.g. mean of percentage increases. | drfrost.org/explorer.php?ssid=6264 | ||
| 539d | Secondary | Calculate a value given the geometric mean. | drfrost.org/explorer.php?ssid=8916 | ||
| 540 | Secondary | Exam Practice: Average of rates and sum of rates | drfrost.org/explorer.php?ssid=4357 | E540 | |
| 540a | Secondary | Determine the average speed when travelling the outward and return journeys at different fixed speeds. | drfrost.org/explorer.php?ssid=6265 | ||
| 540b | Secondary | Determine the average of various compound measures, including density and rate of work, where the first quantity is fixed for each rate. | drfrost.org/explorer.php?ssid=6266 | ||
| 540c | Secondary | Determine the harmonic mean of two values. | drfrost.org/explorer.php?ssid=6267 | ||
| 540d | Secondary | Determine the harmonic mean of three of more values. | drfrost.org/explorer.php?ssid=6268 | ||
| 540e | Secondary | Determine the time taken to complete a task given the combined contribution of multiple workers/sources/machines. | drfrost.org/explorer.php?ssid=6269 | ||
| 541 | A Level | Exam Practice: Logarithmic scales | drfrost.org/explorer.php?ssid=4358 | E541 | |
| 541a | A Level | Calculate the ratio change on a logarithmic scale given a change in the value it represents (e.g. earthquake energy). | drfrost.org/explorer.php?ssid=6270 | ||
| 541b | A Level | Calculate the ratio change of a value given the ratio change in its corresponding logarithmic scale (e.g. Richter scale and decibel scale). | drfrost.org/explorer.php?ssid=6271 | ||
| 541c | A Level | Calculate a midpoint between two values on a logarithmic scale using the geometric mean. | drfrost.org/explorer.php?ssid=6272 | ||
| 541d | A Level | Calculate the ratio change on a inverse logarithmic scale given a change in the value it represents (e.g. concentration of hydrogen ions). | drfrost.org/explorer.php?ssid=6273 | ||
| 541e | A Level | Calculate the ratio change of a value given the ratio change in its corresponding inverse logarithmic scale (e.g. pH level). | drfrost.org/explorer.php?ssid=6274 | ||
| 541f | A Level | Use a modelled scenario to determine the parameters in a logarithmic model y = a + b \ln x | drfrost.org/explorer.php?ssid=8326 | ||
| 542 | Secondary | Exam Practice: Simple index numbers | drfrost.org/explorer.php?ssid=4359 | E542 | |
| 542a | Secondary | Calculate a simple index number with reference to a base year. | drfrost.org/explorer.php?ssid=6275 | ||
| 542b | Secondary | Calculate a value for a given year given its simple index number with reference to the base year. | drfrost.org/explorer.php?ssid=6276 | ||
| 542c | Secondary | Interpret the simple index number as a percentage increase or decrease. | drfrost.org/explorer.php?ssid=6277 | ||
| 542d | Secondary | Compare variables using simple index numbers. | drfrost.org/explorer.php?ssid=6278 | ||
| 542e | Secondary | Understand GDP and its link to recession. | drfrost.org/explorer.php?ssid=6279 | ||
| 542f | Secondary | Calculate a weighted index number. | drfrost.org/explorer.php?ssid=6280 | ||
| 542g | Secondary | Calculate an unknown index number given all other index numbers, the weighted index number and associated weights. | drfrost.org/explorer.php?ssid=6281 | ||
| 542h | Secondary | Compare amounts over time to weighted index numbers to RPI and CPI with a given base year. | drfrost.org/explorer.php?ssid=6282 | ||
| 543 | Secondary | Exam Practice: Chain base index numbers | drfrost.org/explorer.php?ssid=4360 | E543 | |
| 543a | Secondary | Know the difference between a simple index number and a chain base index number. | drfrost.org/explorer.php?ssid=6283 | ||
| 543b | Secondary | Calculate chain base index numbers. | drfrost.org/explorer.php?ssid=6284 | ||
| 543c | Secondary | Calculate prices over time using chain base index numbers. | drfrost.org/explorer.php?ssid=6285 | ||
| 543d | Secondary | Compare prices in consecutive time periods using chain base index numbers, including RPI, CPI and GDP. | drfrost.org/explorer.php?ssid=6286 | ||
| 543e | Secondary | Use the geometric mean to summarise a change over time given chain base index numbers. | drfrost.org/explorer.php?ssid=6287 | ||
| 544 | A Level | Exam Practice: Interpolation to determine median, quartiles and percentiles | drfrost.org/explorer.php?ssid=302 | E544 | |
| 544a | A Level | State the class interval within which a given quartile lies. | drfrost.org/explorer.php?ssid=6288 | ||
| 544b | A Level | State the class interval within which a given decile or percentile lies. | drfrost.org/explorer.php?ssid=6289 | ||
| 544c | A Level | Estimate frequency for part of a group in a grouped frequency table. | drfrost.org/explorer.php?ssid=6290 | ||
| 544d | A Level | Estimate the median of grouped data using interpolation. | drfrost.org/explorer.php?ssid=1088 | K838 | |
| 544e | A Level | Estimate the median of grouped data where intervals have gaps. | drfrost.org/explorer.php?ssid=1185 | K839 | |
| 544f | A Level | Determine quartiles or percentiles of grouped data using interpolation. | drfrost.org/explorer.php?ssid=1092 | K840 | |
| 544g | A Level | Estimate the interquartile range from a grouped frequency table using interpolation. | drfrost.org/explorer.php?ssid=6291 | ||
| 544h | A Level | Estimate the inter-decile or inter-percentile range from a grouped frequency table using interpolation. | drfrost.org/explorer.php?ssid=6292 | ||
| 545 | A Level | Exam Practice: Coding data | drfrost.org/explorer.php?ssid=451 | E545 | |
| 545a | A Level | State the effect of a coding on mean and median. | drfrost.org/explorer.php?ssid=6293 | ||
| 545b | A Level | State the effect of a coding on quartiles, range, standard deviation and variance. | drfrost.org/explorer.php?ssid=6294 | ||
| 545c | A Level | Calculate the mean of coded data with a single transformation. | drfrost.org/explorer.php?ssid=1186 | K841 | |
| 545d | A Level | Calculate the mean of coded data with a multiple transformations. | drfrost.org/explorer.php?ssid=6295 | ||
| 545e | A Level | Calculate the standard deviation of coded data. | drfrost.org/explorer.php?ssid=6296 | ||
| 545f | A Level | Determine the mean and standard deviation given the coded mean and standard deviation. | drfrost.org/explorer.php?ssid=1187 | K842 | |
| 545g | A Level | Determine the linear coding from one data set to another. | drfrost.org/explorer.php?ssid=6297 | ||
| 545h | A Level | Calculate the average of data more efficiently by first coding the data. | drfrost.org/explorer.php?ssid=6298 | ||
| 545i | A Level | Calculate the standard deviation of data more efficiently by first coding the data. | drfrost.org/explorer.php?ssid=6299 | ||
| 546 | A Level | Exam Practice: Calculating the skewness of data | drfrost.org/explorer.php?ssid=300 | E546 | |
| 546a | A Level | Calculate the skew of a set of data using the formula. | drfrost.org/explorer.php?ssid=1547 | K980 | |
| 546b | A Level | Interpret the value for skew for a given data set. | drfrost.org/explorer.php?ssid=6300 | ||
| 547 | A Level | Exam Practice: Using and interpreting the equation of a regression line | drfrost.org/explorer.php?ssid=448 | E547 | |
| 547a | A Level | Determine whether a regression line would be suitable for a given set of data. | drfrost.org/explorer.php?ssid=6301 | ||
| 547b | A Level | Determine when use of a regression line is likely to be unreliable. | drfrost.org/explorer.php?ssid=6302 | ||
| 547c | A Level | Plot a regression line from its equation. | drfrost.org/explorer.php?ssid=6303 | ||
| 547d | A Level | Estimate a value using the equation of a regression line. | drfrost.org/explorer.php?ssid=6304 | ||
| 547e | A Level | Interpret the gradient or y-intercept of a regression line. | drfrost.org/explorer.php?ssid=6305 | ||
| 547f | A Level | Determine the equation of an uncoded linear regression line, given coded variables and the coded linear regression line. | drfrost.org/explorer.php?ssid=6306 | ||
| 548 | A Level | Exam Practice: Functional notation for discrete random variables | drfrost.org/explorer.php?ssid=542 | E548 | |
| 548a | A Level | Determine unknown probabilities or connect probabilities in the probability distribution of a discrete random variable. | drfrost.org/explorer.php?ssid=8309 | ||
| 548b | A Level | Determine the probability of the sum of two or more outcomes from the same discrete random variable. | drfrost.org/explorer.php?ssid=6307 | ||
| 548c | A Level | Determine a probability using a functional notation for the probability. | drfrost.org/explorer.php?ssid=6308 | ||
| 548d | A Level | Recognise situations under which the discrete uniform distribution is likely to be an appropriate model. | drfrost.org/explorer.php?ssid=8434 | ||
| 548e | A Level | Calculate probabilities using a discrete uniform distribution. | drfrost.org/explorer.php?ssid=8435 | ||
| 548f | A Level | Determine a constant in a function for a probability distribution. | drfrost.org/explorer.php?ssid=1308 | K965 | |
| 548g | A Level | Determine a probability using a probability function defined recursively. | drfrost.org/explorer.php?ssid=6309 | ||
| 548h | A Level | Determine the output of a cumulative distribution function given the probability function of a discrete random variable. | drfrost.org/explorer.php?ssid=8623 | ||
| 548i | A Level | Determine a cumulative distribution from a discrete random variable involving unknowns. | drfrost.org/explorer.php?ssid=8624 | ||
| 549 | A Level | Exam Practice: Conducting hypothesis test for p in a binomial model | drfrost.org/explorer.php?ssid=316 | E549 | |
| 549a | A Level | Identify the null hypothesis and the alternative hypothesis for a (one or two-tailed) hypothesis test. | drfrost.org/explorer.php?ssid=6310 | ||
| 549b | A Level | State and understand the test statistic for a test on a binomial model, assuming the null hypothesis. | drfrost.org/explorer.php?ssid=6311 | ||
| 549c | A Level | Determine the p-value in a one-tailed test on a binomial model. | drfrost.org/explorer.php?ssid=6312 | ||
| 549d | A Level | Conduct a hypothesis test for a binomial model where the p-value is given. | drfrost.org/explorer.php?ssid=6313 | ||
| 549e | A Level | Determine the critical region for a one-tailed hypothesis test using a binomial model. | drfrost.org/explorer.php?ssid=1318 | K856 | |
| 549f | A Level | Conduct a one-tailed hypothesis test on a binomial model. | drfrost.org/explorer.php?ssid=1320 | K858 | |
| 549g | A Level | Determine the critical region for a two-tailed hypothesis test using a binomial model. | drfrost.org/explorer.php?ssid=1319 | K857 | |
| 549h | A Level | Determine the p-value in a two-tailed test on a binomial model. | drfrost.org/explorer.php?ssid=8566 | ||
| 549i | A Level | Conduct a two-tailed hypothesis test on a binomial model. | drfrost.org/explorer.php?ssid=1321 | K859 | |
| 549j | A Level | Determine the actual level of significance for a test on a binomial model. | drfrost.org/explorer.php?ssid=8567 | ||
| 550 | A Level | Exam Practice: Displacement-time graphs | drfrost.org/explorer.php?ssid=4361 | E550 | |
| 550a | A Level | Describe the displacement of an object at a given time using a displacement-time graph. | drfrost.org/explorer.php?ssid=6314 | ||
| 550b | A Level | Compare the overall displacement and distance travelled from a displacement-time graph. | drfrost.org/explorer.php?ssid=6315 | ||
| 550c | A Level | Compare the average velocity and average speed from a displacement-time graph. | drfrost.org/explorer.php?ssid=6316 | ||
| 550d | A Level | Describe the motion at a point from a velocity-time graph. | drfrost.org/explorer.php?ssid=8625 | ||
| 550e | A Level | Determine the total distance travelled from a velocity-time graph. | drfrost.org/explorer.php?ssid=8626 | ||
| 550f | A Level | Calculate an acceleration from a velocity-time graph using gradient. | drfrost.org/explorer.php?ssid=8627 | ||
| 551 | A Level | Exam Practice: suvat' equations (excluding forces) | drfrost.org/explorer.php?ssid=324 | E551 | |
| 551a | A Level | Use the constant acceleration formula v=u+at | drfrost.org/explorer.php?ssid=916 | K863 | |
| 551b | A Level | Use the constant acceleration formula s=\left(\frac{u+v}{2}\right)t | drfrost.org/explorer.php?ssid=917 | K864 | |
| 551c | A Level | Use the constant acceleration formula v^2=u^2+2as | drfrost.org/explorer.php?ssid=918 | K865 | |
| 551d | A Level | Use the constant acceleration formula s=ut+\frac{1}{2}at^2 | drfrost.org/explorer.php?ssid=919 | K866 | |
| 551e | A Level | Use the constant acceleration formula s=vt-\frac{1}{2}at^2 | drfrost.org/explorer.php?ssid=1635 | ||
| 551f | A Level | Be able to use all constant acceleration formulae. | drfrost.org/explorer.php?ssid=920 | K867 | |
| 551g | A Level | Use a single constant acceleration formula for information presented as a velocity-time graph. | drfrost.org/explorer.php?ssid=6317 | ||
| 551h | A Level | Use constant acceleration formulae involving three points on a journey. | drfrost.org/explorer.php?ssid=6318 | ||
| 551i | A Level | Use the constant acceleration formulae with two linked objects. | drfrost.org/explorer.php?ssid=1622 | ||
| 552 | A Level | Exam Practice: Projectile motion in 1D | drfrost.org/explorer.php?ssid=326 | E552 | |
| 552a | A Level | Determine the final speed of a vertically projected particle. | drfrost.org/explorer.php?ssid=6319 | ||
| 552b | A Level | Determine the initial speed of a vertically projected particle. | drfrost.org/explorer.php?ssid=6320 | ||
| 552c | A Level | Determine the greatest height or total distance travelled when a particle is projected vertically upwards. | drfrost.org/explorer.php?ssid=921 | K868 | |
| 552d | A Level | Determine the time of flight of a particle projected vertically. | drfrost.org/explorer.php?ssid=922 | K869 | |
| 552e | A Level | Determine the times at which a particle projected vertically is at a given height. | drfrost.org/explorer.php?ssid=6321 | ||
| 552f | A Level | Use constant acceleration formulae for two particles colliding in vertical motion. | drfrost.org/explorer.php?ssid=1629 | ||
| 553 | A Level | Exam Practice: Forces on a single particle in equilibrium, not on an inclined plane, no F = \mu R | drfrost.org/explorer.php?ssid=517 | E553 | |
| 553a | A Level | Find the magnitude of unknown forces when a particle is in equilibrium. | drfrost.org/explorer.php?ssid=923 | K870 | |
| 554 | A Level | Exam Practice: Forces as vectors | drfrost.org/explorer.php?ssid=4362 | E554 | |
| 554a | A Level | Determine the resultant vector of forces expressed in i and j notation. | drfrost.org/explorer.php?ssid=6322 | ||
| 554b | A Level | Determine unknown components in force vectors that gives a resultant vector or achieves equilibrium. | drfrost.org/explorer.php?ssid=6323 | ||
| 554c | A Level | Determine the magnitude of a force vector. | drfrost.org/explorer.php?ssid=6324 | ||
| 554d | A Level | Determine the direction of a force vector as an angle. | drfrost.org/explorer.php?ssid=6325 | ||
| 554e | A Level | Solve problems involving force vectors in the same direction. | drfrost.org/explorer.php?ssid=6326 | ||
| 554f | A Level | Determine unknown coefficients when a resultant vector is parallel to a given vector. | drfrost.org/explorer.php?ssid=1792 | ||
| 555 | A Level | Exam Practice: Forces on an accelerating single particle, not on an inclined plane, no F = \mu R | drfrost.org/explorer.php?ssid=521 | E555 | |
| 555a | A Level | Calculate the acceleration of a particle. | drfrost.org/explorer.php?ssid=925 | K872 | |
| 555b | A Level | Determine the magnitude of missing forces when a particle is accelerating. | drfrost.org/explorer.php?ssid=924 | K871 | |
| 555c | A Level | Calculate the acceleration of a particle in context, including normal reaction, tension and gravitational forces. | drfrost.org/explorer.php?ssid=6327 | ||
| 555d | A Level | Determine the magnitude of missing forces in context, including normal reaction, tension and gravitational forces. | drfrost.org/explorer.php?ssid=6328 | ||
| 555e | A Level | Determine an unknown force by using constant acceleration formulae. | drfrost.org/explorer.php?ssid=8883 | ||
| 555f | A Level | Determine a time, distance or velocity, where the acceleration must first be calculated using forces. | drfrost.org/explorer.php?ssid=8884 | ||
| 555g | A Level | Determine the acceleration vector of a body given force vectors acting on it. | drfrost.org/explorer.php?ssid=6329 | ||
| 555h | A Level | Determine missing components of forces given the acceleration vector of the body. | drfrost.org/explorer.php?ssid=6330 | ||
| 556 | A Level | Exam Practice: Forces on accelerating connected particles, not on an inclined plane, no F = \mu R | drfrost.org/explorer.php?ssid=529 | E556 | |
| 556a | A Level | Determine the tension in the string connecting two particles on smooth horizontal ground. | drfrost.org/explorer.php?ssid=926 | K873 | |
| 556b | A Level | Determine the tension in the string connecting two particles on rough horizontal ground. | drfrost.org/explorer.php?ssid=927 | K874 | |
| 556c | A Level | Determine the tension in the string attached to a lift. | drfrost.org/explorer.php?ssid=1596 | ||
| 556d | A Level | Connect the motion of a lift with a body inside to determine a reaction force, tension or reaction force. | drfrost.org/explorer.php?ssid=6331 | ||
| 556e | A Level | Determine the acceleration of two particles connected by a string passing over a smooth pulley. | drfrost.org/explorer.php?ssid=930 | K875 | |
| 556f | A Level | Determine the mass of one of two particles connected by a string passing over a smooth pulley. | drfrost.org/explorer.php?ssid=6332 | ||
| 556g | A Level | Determine the acceleration of two particles connected by a string passing over a smooth pulley on the corner of a table. | drfrost.org/explorer.php?ssid=931 | K876 | |
| 556h | A Level | Determine the tension in the string passing over a smooth pulley connecting particles whose mass are variables. | drfrost.org/explorer.php?ssid=1604 | ||
| 556i | A Level | Determine the tension, acceleration and mass when three particles are joined by strings with one string passing over a smooth pulley and the masses are variable. | drfrost.org/explorer.php?ssid=1660 | ||
| 556j | A Level | Determine the mass of a lift and a body inside it. | drfrost.org/explorer.php?ssid=6333 | ||
| 557 | A Level | Exam Practice: Considering forces on accelerating particles (no inclines nor F = \mu R) to make calculations about subsequent motion | drfrost.org/explorer.php?ssid=4363 | E557 | |
| 557a | A Level | Determine the time or distance taken for one particle to come to rest, after being disconnected from another particle on horizontal ground. | drfrost.org/explorer.php?ssid=6334 | ||
| 557b | A Level | Determine the time taken for one particle to hit the pulley, where the other particle is hanging over a table. | drfrost.org/explorer.php?ssid=6335 | ||
| 557c | A Level | For particles hanging vertically over a pulley, determine the time taken for time taken for one particle to hit the ground, after the other hits the ground or the string breaks. | drfrost.org/explorer.php?ssid=6336 | ||
| 557d | A Level | For particles hanging vertically over a pulley, determine the time or distance from when the string becomes slack to becoming taut. | drfrost.org/explorer.php?ssid=6337 | ||
| 557e | A Level | Determine the maximum height reached by a particle connected to another by a string passing over a pulley. | drfrost.org/explorer.php?ssid=1251 | K877 | |
| 558 | A Level | Exam Practice: Calculus in kinematics for motion in a straight line, e.g. v = \frac{dr}{dt}, in 1 dimension | drfrost.org/explorer.php?ssid=325 | E558 | |
| 558a | A Level | Use differentiation to find an expression for the velocity or the acceleration of a particle. | drfrost.org/explorer.php?ssid=1322 | K878 | |
| 558b | A Level | Determine when a particle is instantaneously at rest, given an expression for the velocity. | drfrost.org/explorer.php?ssid=6338 | ||
| 558c | A Level | Determine when a particle is instantaneously at rest, given an expression for the displacement. | drfrost.org/explorer.php?ssid=6339 | ||
| 558d | A Level | Use differentiation once to find the velocity or acceleration of a particle at a given instant. | drfrost.org/explorer.php?ssid=1323 | K879 | |
| 558e | A Level | Use differentiation twice to find the acceleration of a particle at a given instant. | drfrost.org/explorer.php?ssid=6340 | ||
| 558f | A Level | Use integration once to find an expression for the displacement or the velocity of a particle. | drfrost.org/explorer.php?ssid=1329 | K880 | |
| 558g | A Level | Use integration twice to find an expression for the displacement of a particle. | drfrost.org/explorer.php?ssid=6341 | ||
| 558h | A Level | Use integration once find the displacement or the velocity of a particle at a given instant. | drfrost.org/explorer.php?ssid=1330 | K881 | |
| 558i | A Level | Use integration twice find the displacement of a particle at a given instant. | drfrost.org/explorer.php?ssid=6342 | ||
| 558j | A Level | Show that the displacement or velocity is always positive. | drfrost.org/explorer.php?ssid=6343 | ||
| 558k | A Level | Sketch a velocity-time graph given an expression for the displacement. | drfrost.org/explorer.php?ssid=6344 | ||
| 558l | A Level | Determine the maximum displacement or depth reached of a particle. | drfrost.org/explorer.php?ssid=6345 | ||
| 558m | A Level | Determine the distance travelled where the velocity changes between positive and negative throughout the journey. | drfrost.org/explorer.php?ssid=6346 | ||
| 558n | A Level | Solve problems involving variable acceleration where two objects meet. | drfrost.org/explorer.php?ssid=6347 | ||
| 558o | A Level | Use a velocity-time graph or other sets of data to determine multiple unknown coefficients for a quadratic expression for velocity. | drfrost.org/explorer.php?ssid=6348 | ||
| 558p | A Level | Derive the constant acceleration formulae using calculus. | drfrost.org/explorer.php?ssid=8514 | ||
| 559 | A Level | Exam Practice: Decompose rational expressions into partial fractions | drfrost.org/explorer.php?ssid=184 | https://www.youtube-nocookie.com/embed/e8xWWDFQXpY | E559 |
| 559a | A Level | Decompose a rational function into partial fractions: \frac{ax+b}{(cx + d)(ex + f)} | drfrost.org/explorer.php?ssid=907 | K882 | |
| 559b | A Level | Decompose a rational function into partial fractions: \frac{ax^2 + bx + c}{(dx + e)(fx + g)(hx + i)} | drfrost.org/explorer.php?ssid=891 | K883 | |
| 559c | A Level | Decompose a rational function with a repeated factor into partial fractions: \frac{ax + b}{(cx + d)(ex + f)^2} | drfrost.org/explorer.php?ssid=895 | K884 | |
| 559d | A Level | Decompose a top-heavy rational function into partial fractions:\ \frac{ax^2+bx+c}{(dx + e)(fx + g)} | drfrost.org/explorer.php?ssid=1574 | K994 | |
| 559e | A Level | Decompose a rational function with a quadratic factor into partial fractions: \frac{ax^2 + bx + c}{(dx^2 + e)(fx + g)} | drfrost.org/explorer.php?ssid=6349 | ||
| 560 | A Level | Exam Practice: Proof by deduction | drfrost.org/explorer.php?ssid=159 | E560 | |
| 560a | A Level | Understand the structure, language and notation of proofs by deduction to show the equivalence of expressions. | drfrost.org/explorer.php?ssid=6350 | ||
| 560b | A Level | Use proof by deduction to show that a quadratic expression is always positive. | drfrost.org/explorer.php?ssid=6351 | ||
| 560c | A Level | Use proof by deduction to prove some statement about odd and even numbers. | drfrost.org/explorer.php?ssid=6352 | ||
| 560d | A Level | Use proof by deduction more generally where there are provided assumptions. | drfrost.org/explorer.php?ssid=6353 | ||
| 561 | A Level | Exam Practice: Proof by exhaustion | drfrost.org/explorer.php?ssid=4364 | E561 | |
| 561a | A Level | Use proof by exhaustion to show some statement is true in a provided finite range. | drfrost.org/explorer.php?ssid=6354 | ||
| 561b | A Level | Use proof by exhaustion to show some expression is always odd or always even. | drfrost.org/explorer.php?ssid=6355 | ||
| 561c | A Level | Use proof by exhaustion to prove statements involving more general divisibility. | drfrost.org/explorer.php?ssid=6356 | ||
| 562 | A Level | Exam Practice: Proof by contradiction | drfrost.org/explorer.php?ssid=4365 | E562 | |
| 562a | A Level | Write the negation of a statement, including conditional statements. | drfrost.org/explorer.php?ssid=8299 | ||
| 562b | A Level | Prove by contradiction that there is no greatest number with some property. | drfrost.org/explorer.php?ssid=6357 | ||
| 562c | A Level | Prove by contradiction some statement about the evenness/oddness of squares or cubes. | drfrost.org/explorer.php?ssid=6358 | ||
| 562d | A Level | Prove by contradiction that the arithmetic combination of some pair of irrational/rational numbers is irrational. | drfrost.org/explorer.php?ssid=6359 | ||
| 562e | A Level | Prove by contradiction that there are infinitely many prime numbers. | drfrost.org/explorer.php?ssid=6360 | ||
| 562f | A Level | Prove by contradiction that \sqrt{n} is irrational (where n is not square). | drfrost.org/explorer.php?ssid=6361 | ||
| 562g | A Level | Prove by contradiction that \sqrt[3]{n} is irrational (where n is not square). | drfrost.org/explorer.php?ssid=6362 | ||
| 563 | A Level | Exam Practice: Advanced concepts of proof, including 'if and only if', sufficient conditions and necessary conditions | drfrost.org/explorer.php?ssid=4366 | E563 | |
| 563a | A Level | Identify the contrapositive of a conditional statement. | drfrost.org/explorer.php?ssid=8300 | ||
| 563b | A Level | Identify the negation of existential ('there exists') and universal ('for all') quantifiers. | drfrost.org/explorer.php?ssid=8301 | ||
| 563c | A Level | Understand the concept and notation of a two-way implication 'if and only if' (iff) when constructing proofs. | drfrost.org/explorer.php?ssid=6363 | ||
| 563d | A Level | Determine conditions that are sufficient for a given statement. | drfrost.org/explorer.php?ssid=6364 | ||
| 563e | A Level | Determine conditions that are necessary for a given statement. | drfrost.org/explorer.php?ssid=6365 | ||
| 563f | A Level | Determine conditions that are necessary and sufficient for a given statement (or their negations). | drfrost.org/explorer.php?ssid=6366 | ||
| 564 | A Level | Exam Practice: Domain and range of more advanced functions (e.g. exponential) | drfrost.org/explorer.php?ssid=363 | https://www.youtube-nocookie.com/embed/v1wjiHN30q8 | E564 |
| 564a | A Level | Determine the domain or range of a sketched function. | drfrost.org/explorer.php?ssid=6367 | ||
| 564b | A Level | Determine the value that must be excluded from a function given in the form f(x) = \frac{ax+b}{cx+d} | drfrost.org/explorer.php?ssid=6368 | ||
| 564c | A Level | Determine the range of an exponential function f(x)=a+be^{kx} | drfrost.org/explorer.php?ssid=8784 | ||
| 564d | A Level | Determine the range of a trigonometric function for a given domain. | drfrost.org/explorer.php?ssid=6369 | ||
| 564e | A Level | Determine the domain of a trigonometric function that would yield a certain range. | drfrost.org/explorer.php?ssid=6370 | ||
| 564f | A Level | Determine the allowed domain of a function given in the form \sqrt{ax + b} | drfrost.org/explorer.php?ssid=6371 | ||
| 564g | A Level | Determine the range of a quadratic function given in the form x^2 + k or k - x^2 | drfrost.org/explorer.php?ssid=6372 | ||
| 564h | A Level | Determine the range of a quadratic function by completing the square. | drfrost.org/explorer.php?ssid=1550 | K891 | |
| 564i | A Level | Determine the range of a general quadratic function with a restricted domain. | drfrost.org/explorer.php?ssid=6373 | ||
| 564j | A Level | Determine the range of a rational function f(x)=\frac{ax+b}{cx+d} | drfrost.org/explorer.php?ssid=1777 | ||
| 565 | A Level | Exam Practice: One-to-one vs many-to-one functions | drfrost.org/explorer.php?ssid=4367 | E565 | |
| 565a | A Level | Determine whether a mapping is a function using a mapping diagram. | drfrost.org/explorer.php?ssid=8782 | ||
| 565b | A Level | Determine whether a mapping is a function from its graph. | drfrost.org/explorer.php?ssid=8783 | ||
| 565c | A Level | Determine whether a function is one-to-one or many-to-one from its graph. | drfrost.org/explorer.php?ssid=6374 | ||
| 565d | A Level | Determine whether a basic function is many-to-one or one-to-one from its equation. | drfrost.org/explorer.php?ssid=6375 | ||
| 565e | A Level | Determine whether a quadratic with restricted domain is one-to-one vs many-to-one. | drfrost.org/explorer.php?ssid=6376 | ||
| 565f | A Level | Determine whether a function with a given domain has an inverse. | drfrost.org/explorer.php?ssid=6377 | ||
| 566 | A Level | Exam Practice: Surjective, injective and bijective functions | drfrost.org/explorer.php?ssid=4368 | E566 | |
| 566a | A Level | Determine if a given function is a surjection (onto) given the domain and codomain. | drfrost.org/explorer.php?ssid=6378 | ||
| 566b | A Level | Determine if a given function is an injection (one-to-one) given the domain and codomain. | drfrost.org/explorer.php?ssid=6379 | ||
| 566c | A Level | Determine if a given function is a bijection. | drfrost.org/explorer.php?ssid=6380 | ||
| 567 | A Level | Exam Practice: Composite functions involving e^x, \ln x or algebraic fractions | drfrost.org/explorer.php?ssid=188 | https://www.youtube-nocookie.com/embed/rJUzSg4he4M | E567 |
| 567a | A Level | Determine the output of a composite function for a numeric input, where one of the functions contains e^x or \ln(x) | drfrost.org/explorer.php?ssid=6381 | ||
| 567b | A Level | Find the algebraic output of a composite function (including e^x) | drfrost.org/explorer.php?ssid=1741 | ||
| 567c | A Level | Determine the range of a composite function involving e^x or \ln(x) | drfrost.org/explorer.php?ssid=6382 | ||
| 567d | A Level | Determine values for which fg(x) = gf(x), where one of the functions involves e^x or \ln(x) | drfrost.org/explorer.php?ssid=6383 | ||
| 567e | A Level | Determine a composite function ff(x) where f(x) is given in the form \frac{ax+b}{cx+d} | drfrost.org/explorer.php?ssid=6384 | ||
| 567f | A Level | Determine a coefficient or constant given a known output of a composite function involving e^x or \ln(x) | drfrost.org/explorer.php?ssid=6385 | ||
| 567g | A Level | Determine the input of a composite function involving adding or subtracting of algebraic fractions. | drfrost.org/explorer.php?ssid=6386 | ||
| 568 | A Level | Exam Practice: Inverse functions involving e^x and \ln(x) | drfrost.org/explorer.php?ssid=364 | https://www.youtube-nocookie.com/embed/6O8mMPqgaS4 | E568 |
| 568a | A Level | Determine the inverse of exponential and logarithmic functions. | drfrost.org/explorer.php?ssid=1719 | ||
| 568b | A Level | Determine the domain of the inverse function. | drfrost.org/explorer.php?ssid=6387 | ||
| 568c | A Level | Solve equations given in the form f^{-1}(a) = f(a) | drfrost.org/explorer.php?ssid=6388 | ||
| 569 | A Level | Exam Practice: Graphs of inverse functions | drfrost.org/explorer.php?ssid=4369 | E569 | |
| 569a | A Level | Sketch the graph of an inverse function given the graph of the original function (no restricted domains and excluding exponential and log graphs). | drfrost.org/explorer.php?ssid=6389 | ||
| 569b | A Level | Recognise that the domain of a function may need to be restricted in order to sketch the inverse function. | drfrost.org/explorer.php?ssid=6390 | ||
| 569c | A Level | Sketch the graph of an inverse function given the graph of an exponential or logarithmic function. | drfrost.org/explorer.php?ssid=6391 | ||
| 569d | A Level | Sketch the graph of an inverse trigonometric function. | drfrost.org/explorer.php?ssid=8674 | ||
| 570 | A Level | Exam Practice: Sketching graphs involving the modulus function | drfrost.org/explorer.php?ssid=187 | https://www.youtube-nocookie.com/embed/8gsku6lHo9E | E570 |
| 570a | A Level | Determine the output of a function involving a modulus function. | drfrost.org/explorer.php?ssid=8778 | ||
| 570b | A Level | Determine the output of a composite function involving a modulus function. | drfrost.org/explorer.php?ssid=6392 | ||
| 570c | A Level | Sketch a graph of y = \left| f(x) \right| given a sketch of y = f(x) | drfrost.org/explorer.php?ssid=6393 | ||
| 570d | A Level | Sketch graphs given in the form y = \left|ax + b\right| | drfrost.org/explorer.php?ssid=1175 | K885 | |
| 570e | A Level | Sketch graphs given in the form y = \left|ax + b\right| + c | drfrost.org/explorer.php?ssid=6394 | ||
| 570f | A Level | Determine the coordinates of the vertex or intercepts of a modulus graph. | drfrost.org/explorer.php?ssid=6395 | ||
| 570g | A Level | Sketch graphs given in the form y = a - \left|bx + c\right| | drfrost.org/explorer.php?ssid=6396 | ||
| 570h | A Level | Sketch a modulus graph of a quadratic function. | drfrost.org/explorer.php?ssid=6397 | ||
| 570i | A Level | Sketch a modulus graph of a trigonometric function. | drfrost.org/explorer.php?ssid=6398 | ||
| 570j | A Level | Determine the range of a modulus function. | drfrost.org/explorer.php?ssid=6399 | ||
| 570k | A Level | Use a sketch of a modulus function to determine its equation. | drfrost.org/explorer.php?ssid=6400 | ||
| 570l | A Level | Sketch a graph of y = f(\left|x\right|) given a sketch of y = f(x) | drfrost.org/explorer.php?ssid=6401 | ||
| 571 | A Level | Exam Practice: Solving equations involving the modulus equation | drfrost.org/explorer.php?ssid=4370 | E571 | |
| 571a | A Level | Solve an equation given in the form \left|ax + b\right| = c | drfrost.org/explorer.php?ssid=6402 | ||
| 571b | A Level | Determine the roots of a modulus graph. | drfrost.org/explorer.php?ssid=8777 | ||
| 571c | A Level | Solve an equation given in the form \left|ax+b\right|=cx+d | drfrost.org/explorer.php?ssid=1223 | K890 | |
| 571d | A Level | Solve an equation given in the form \left|ax+b\right| = k\left|cx + d\right| | drfrost.org/explorer.php?ssid=6403 | ||
| 571e | A Level | Determine a coefficient or constant in a modulus equation given the number of intersections with another graph. | drfrost.org/explorer.php?ssid=6404 | ||
| 571f | A Level | Solve a modulus equation involving an exponential function. | drfrost.org/explorer.php?ssid=6405 | ||
| 571g | A Level | Solve a modulus equation involving a quadratic. | drfrost.org/explorer.php?ssid=6406 | ||
| 572 | A Level | Exam Practice: Solving inequalities involving the modulus function | drfrost.org/explorer.php?ssid=183 | https://www.youtube-nocookie.com/embed/8gsku6lHo9E | E572 |
| 572a | A Level | Solve a modulus inequality where the graphs are already sketched. | drfrost.org/explorer.php?ssid=6407 | ||
| 572b | A Level | Solve modulus inequalities given in the form \left|ax + b\right| > c | drfrost.org/explorer.php?ssid=6408 | ||
| 572c | A Level | Solve modulus inequalities given in the form \left|ax + b\right| > cx + d | drfrost.org/explorer.php?ssid=6409 | ||
| 572d | A Level | Solve modulus inequalities given in the form \left|ax + b\right| > \left|cx + d\right| | drfrost.org/explorer.php?ssid=6410 | ||
| 572e | A Level | Solve modulus inequalities involving algebraic constants. | drfrost.org/explorer.php?ssid=6411 | ||
| 572f | A Level | Solve modulus inequalities involving a quadratic. | drfrost.org/explorer.php?ssid=6412 | ||
| 573 | Secondary | Exam Practice: nth term formula for arithmetic sequences (using standard formulae) | drfrost.org/explorer.php?ssid=203 | E573 | |
| 573a | Secondary | Determine the nth term formula for an arithmetic sequence with known first term and common difference. | drfrost.org/explorer.php?ssid=6413 | ||
| 573b | Secondary | Determine the nth term formula for an arithmetic sequence given the first few terms. | drfrost.org/explorer.php?ssid=8717 | ||
| 573c | Secondary | Determine a term of an arithmetic sequence with known first term and common difference. | drfrost.org/explorer.php?ssid=6414 | ||
| 573d | Secondary | Determine a term of an arithmetic sequence used to model a given context. | drfrost.org/explorer.php?ssid=6417 | ||
| 573e | Secondary | Determine the position of a term in an arithmetic sequence given the first term and common difference. | drfrost.org/explorer.php?ssid=8515 | ||
| 573f | Secondary | Determine a term of an arithmetic sequence where the first term or constant difference is algebraic. | drfrost.org/explorer.php?ssid=6415 | ||
| 573g | Secondary | Determine the first term and common difference of an arithmetic sequence given the position and value of two terms in the sequence. | drfrost.org/explorer.php?ssid=6416 | ||
| 573h | Secondary | Determine the value of a given term in an arithmetic sequence given the position and value of two other terms in the sequence. | drfrost.org/explorer.php?ssid=908 | K894 | |
| 573i | Secondary | Determine the position in two related sequences when there is a relationship between corresponding terms. | drfrost.org/explorer.php?ssid=6418 | ||
| 573j | Secondary | Use the properties of an arithmetic sequence to determine an unknown constant in its terms. | drfrost.org/explorer.php?ssid=6419 | ||
| 574 | Secondary | Exam Practice: Sum terms in an arithmetic series | drfrost.org/explorer.php?ssid=587 | E574 | |
| 574a | Secondary | Prove the formula for the sum of the first n terms of an arithmetic series. | drfrost.org/explorer.php?ssid=6420 | ||
| 574b | Secondary | Find the sum of the first n terms (the nth partial sum) of an arithmetic series. | drfrost.org/explorer.php?ssid=1205 | K893 | |
| 574c | Secondary | Find the sum of the first n terms of an arithmetic series used to model a given context. | drfrost.org/explorer.php?ssid=1583 | K997 | |
| 574d | Secondary | Determine the sum of multiples in a given range. | drfrost.org/explorer.php?ssid=6421 | ||
| 574e | Secondary | Determine the sum of terms in an arithmetic series in-between two given terms. | drfrost.org/explorer.php?ssid=6422 | ||
| 574f | Secondary | Determine the sum of terms in an arithmetic series where the number of terms must be determined. | drfrost.org/explorer.php?ssid=6423 | ||
| 574g | Secondary | Find the number of terms for an arithmetic series to equal a given value. | drfrost.org/explorer.php?ssid=8516 | ||
| 574h | Secondary | Find the least number of terms for an arithmetic series to exceed a given value. | drfrost.org/explorer.php?ssid=1206 | K896 | |
| 574i | Secondary | Determine the sum of terms in an arithmetic series where the terms are algebraic expressions. | drfrost.org/explorer.php?ssid=6424 | ||
| 574j | Secondary | Solve problems involving comparison of two arithmetic sequences. | drfrost.org/explorer.php?ssid=6425 | ||
| 574k | Secondary | Determine the sum of terms in an arithmetic series where terms are eventually capped at an amount. | drfrost.org/explorer.php?ssid=6426 | ||
| 574l | Secondary | Determine the first term and common difference for an arithmetic series given the value of a term and a sum of terms. | drfrost.org/explorer.php?ssid=6427 | ||
| 574m | Secondary | Determine the value of a given term in an arithmetic series using the value of another term and a sum of terms. | drfrost.org/explorer.php?ssid=909 | K895 | |
| 574n | Secondary | Determine the sum of terms in a sequence given a different sum of terms and another term in the sequence. | drfrost.org/explorer.php?ssid=6428 | ||
| 574o | Secondary | Determine the first term and common difference for an arithmetic series given two sums of terms or a relationship between them. | drfrost.org/explorer.php?ssid=6429 | ||
| 574p | Secondary | Use the properties of an arithmetic sequence to determine an unknown constant in its terms. | drfrost.org/explorer.php?ssid=6430 | ||
| 575 | A Level | Exam Practice: nth term formula for a geometric sequence | drfrost.org/explorer.php?ssid=204 | E575 | |
| 575a | A Level | Determine a term of a geometric sequence given the first term and common ratio. | drfrost.org/explorer.php?ssid=6431 | ||
| 575b | A Level | Determine a term of a geometric sequence used to model a given context. | drfrost.org/explorer.php?ssid=6432 | ||
| 575c | A Level | Determine the first term and common ratio of a geometric sequence given two terms in the sequence. | drfrost.org/explorer.php?ssid=6433 | ||
| 575d | A Level | Determine the value of a term in a geometric sequence given two terms in the sequence. | drfrost.org/explorer.php?ssid=1052 | K897 | |
| 575e | A Level | Use the properties of a geometric sequence to determine an unknown constant in its terms. | drfrost.org/explorer.php?ssid=6434 | ||
| 575f | A Level | Determine the first term of a geometric sequence to exceed a value. | drfrost.org/explorer.php?ssid=6435 | ||
| 576 | A Level | Exam Practice: Tests for convergence of a series | drfrost.org/explorer.php?ssid=4371 | E576 | |
| 576a | A Level | Recognise the harmonic series and p-series. | drfrost.org/explorer.php?ssid=6436 | ||
| 576b | A Level | Use the nth-term test to determine if an infinite series diverges. | drfrost.org/explorer.php?ssid=6437 | ||
| 576c | A Level | Use the ratio test to determine if an infinite series converges or diverges. | drfrost.org/explorer.php?ssid=6438 | ||
| 576d | A Level | Use the alternating series test to test whether an alternating series converges. | drfrost.org/explorer.php?ssid=6439 | ||
| 576e | A Level | Use the integral test to determine whether an infinite series converges. | drfrost.org/explorer.php?ssid=6440 | ||
| 576f | A Level | Use the comparison test (direct comparison test) to determine if an infinite series is convergent or divergent. | drfrost.org/explorer.php?ssid=6441 | ||
| 576g | A Level | Determine with a series is absolutely convergent, conditionally convergent, or divergent. | drfrost.org/explorer.php?ssid=6442 | ||
| 576h | A Level | Use the limit comparison test to determine if an infinite series is convergent or divergent. | drfrost.org/explorer.php?ssid=6443 | ||
| 576i | A Level | Determine the radius of convergence of a power series using the ratio test. | drfrost.org/explorer.php?ssid=6444 | ||
| 576j | A Level | Determine the interval of convergence of a power series using the radius of convergence. | drfrost.org/explorer.php?ssid=6445 | ||
| 577 | A Level | Exam Practice: Alternating series error bound | drfrost.org/explorer.php?ssid=4372 | E577 | |
| 577a | A Level | Determine a bound for a convergent alternating series by using a partial sum and a bound for the remaining terms. | drfrost.org/explorer.php?ssid=6446 | ||
| 577b | A Level | Determine the minimum number of terms required for a partial sum to bound the difference with the infinite sum to a given threshold. | drfrost.org/explorer.php?ssid=6447 | ||
| 578 | A Level | Exam Practice: Summing terms in a geometric series (including the sum to infinity) | drfrost.org/explorer.php?ssid=588 | E578 | |
| 578a | A Level | Prove the formula for the sum of the first n terms of a finite geometric series. | drfrost.org/explorer.php?ssid=6448 | ||
| 578b | A Level | Find the sum of the first n terms (the nth partial sum) of a geometric series. | drfrost.org/explorer.php?ssid=1208 | K898 | |
| 578c | A Level | Determine the sum of terms in a geometric series used to model a given non-financial context. | drfrost.org/explorer.php?ssid=6449 | ||
| 578d | A Level | Determine the sum of terms in a geometric series used to model a given financial context. | drfrost.org/explorer.php?ssid=6450 | ||
| 578e | A Level | Determine the least number of terms for a geometric series to exceed or equal a given value. | drfrost.org/explorer.php?ssid=1207 | K899 | |
| 578f | A Level | Determine the sum to infinity of a geometric series. | drfrost.org/explorer.php?ssid=1209 | K900 | |
| 578g | A Level | Determine the first term or common ratio of a series given its sum to infinity. | drfrost.org/explorer.php?ssid=1210 | K901 | |
| 578h | A Level | Determine a term or common ratio in a geometric series given a ratio between the sum of terms/sum to infinity and a term or sum of terms in the sequence. | drfrost.org/explorer.php?ssid=6451 | ||
| 578i | A Level | Determine the first term or common ratio when the sum to infinity and a sum of terms is given. | drfrost.org/explorer.php?ssid=6452 | ||
| 578j | A Level | Deal with geometric series involving logarithmic terms. | drfrost.org/explorer.php?ssid=6453 | ||
| 579 | A Level | Exam Practice: Amortisation and repayments | drfrost.org/explorer.php?ssid=4373 | E579 | |
| 579a | A Level | Calculate the AER given a monthly or daily compounded rate. | drfrost.org/explorer.php?ssid=6454 | ||
| 579b | A Level | Calculate the monthly or daily interest rate given the AER or nominal interest rate. | drfrost.org/explorer.php?ssid=6455 | ||
| 579c | A Level | Derive the effective annual interest rate when the APR or nominal annual interest rate is given, with monthly or daily compounding. | drfrost.org/explorer.php?ssid=6456 | ||
| 579d | A Level | Use technology to convert between effective interest rates and APR/nominal annual interest rate. | drfrost.org/explorer.php?ssid=8752 | ||
| 580 | A Level | Exam Practice: Annuities | drfrost.org/explorer.php?ssid=4374 | E580 | |
| 580a | A Level | Use F=P(1+i)^n to link present/principal and future values when there are not additional payments. | drfrost.org/explorer.php?ssid=6457 | ||
| 580b | A Level | Use a recurrence relation to represent an incremental change in value of a loan or investment with no additional payments. | drfrost.org/explorer.php?ssid=6458 | ||
| 580c | A Level | Determine the value at the end of an investment with no additional payments (using technology). | drfrost.org/explorer.php?ssid=8753 | ||
| 580d | A Level | Determine the value at the end of an investment with periodic payments (using technology). | drfrost.org/explorer.php?ssid=8754 | ||
| 580e | A Level | Determine the interest rate required that results in a given final value, with periodic payments (using technology). | drfrost.org/explorer.php?ssid=8755 | ||
| 580f | A Level | Determine the number of compounding periods that results in a given final value, with periodic payments (using technology). | drfrost.org/explorer.php?ssid=8756 | ||
| 580g | A Level | Determine algebraically the value at the end of an investment with periodic payments in. | drfrost.org/explorer.php?ssid=8757 | ||
| 580h | A Level | Determine how long an annuity fund lasts (using technology). | drfrost.org/explorer.php?ssid=8758 | ||
| 580i | A Level | Determine the periodic or total amount that can be withdraw from an annuity fund (using technology). | drfrost.org/explorer.php?ssid=8759 | ||
| 580j | A Level | Calculate the total amount of interest earned on an annuity fund (using technology). | drfrost.org/explorer.php?ssid=8760 | ||
| 580k | A Level | Determine the time required to repay an amortised loan (using technology). | drfrost.org/explorer.php?ssid=8761 | ||
| 580l | A Level | Determine the periodic repayment on an amortised loan (using technology). | drfrost.org/explorer.php?ssid=8762 | ||
| 580m | A Level | Determine the total interest paid on an amortised loan (using technology). | drfrost.org/explorer.php?ssid=8763 | ||
| 580n | A Level | Derive the formula for the periodic payment on an amortised loan. | drfrost.org/explorer.php?ssid=8764 | ||
| 581 | A Level | Exam Practice: Sigma notation for sums of series | drfrost.org/explorer.php?ssid=202 | E581 | |
| 581a | A Level | Determine the first term and common difference/ratio in an arithmetic or geometric series expressed using sigma notation. | drfrost.org/explorer.php?ssid=6459 | ||
| 581b | A Level | Determine the sum of terms of an arithmetic sequence expressed using sigma notation. | drfrost.org/explorer.php?ssid=6460 | ||
| 581c | A Level | Determine the sum of terms of a geometric series expressed using sigma notation. | drfrost.org/explorer.php?ssid=6461 | ||
| 581d | A Level | Determine the sum to infinity of a geometric series expressed using sigma notation. | drfrost.org/explorer.php?ssid=6462 | ||
| 581e | A Level | Determine a sum of a mixture of an arithmetic and geometric series using sigma notation. | drfrost.org/explorer.php?ssid=6463 | ||
| 581f | A Level | Determine the sum of terms of a geometric series, expressed using sigma notation, when the terms are logarithmic. | drfrost.org/explorer.php?ssid=6464 | ||
| 582 | A Level | Exam Practice: Recurrence relations given in the form x_{n+1} = f(x_n) | drfrost.org/explorer.php?ssid=200 | E582 | |
| 582a | A Level | Identify whether a sequence is arithmetic, geometric or periodic given its terms. | drfrost.org/explorer.php?ssid=6465 | ||
| 582b | A Level | Determine the order of a periodic sequence. | drfrost.org/explorer.php?ssid=1578 | K995 | |
| 582c | A Level | Identify the type of sequence given a term-to-term recurrence or position-to-term formula. | drfrost.org/explorer.php?ssid=6466 | ||
| 582d | A Level | Use a recurrence relation and the first term to find subsequent terms of a sequence. | drfrost.org/explorer.php?ssid=6467 | ||
| 582e | A Level | Use a recurrence relation involving two previous terms to find a subsequent term or a sum of terms. | drfrost.org/explorer.php?ssid=6468 | ||
| 582f | A Level | Use a recurrence relation, involving an algebraic constant, and the first term to find subsequent terms of a sequence. | drfrost.org/explorer.php?ssid=6469 | ||
| 582g | A Level | Use known consecutive terms of a sequence and a recurrence relation to find values of a constant. | drfrost.org/explorer.php?ssid=6470 | ||
| 582h | A Level | Use known non-consecutive terms of a sequence and a recurrence relation to find values of a constant. | drfrost.org/explorer.php?ssid=6471 | ||
| 582i | A Level | Use the periodicity of a sequence combined with a recurrence relation to form and solve an equation. | drfrost.org/explorer.php?ssid=6472 | ||
| 582j | A Level | Use sigma notation combined with a recurrence relation to find values of a constant. | drfrost.org/explorer.php?ssid=6473 | ||
| 582k | A Level | Determine the sum of a large number of terms of a periodic sequence. | drfrost.org/explorer.php?ssid=6474 | ||
| 582l | A Level | Determine the limiting value of a convergent recurrence relation. | drfrost.org/explorer.php?ssid=6475 | ||
| 582m | A Level | Use a periodic sequence, defined by a recurrence relation, to determine a distant term in the sequence. | drfrost.org/explorer.php?ssid=6476 | ||
| 582n | A Level | Prove algebraically that a sequence, defined using a recurrence relation, is periodic for any starting value. | drfrost.org/explorer.php?ssid=6477 | ||
| 583 | A Level | Exam Practice: Binomial expansion of (a + bx)^n where n is any rational number | drfrost.org/explorer.php?ssid=199 | E583 | |
| 583a | A Level | Binomially expand (1 \pm kx)^n, where n is a rational number. | drfrost.org/explorer.php?ssid=1001 | K903 | |
| 583b | A Level | Binomially expand (a \pm kx)^n, where n is a rational number. | drfrost.org/explorer.php?ssid=1004 | K904 | |
| 583c | A Level | Determine the binomial expansion of an expression involving roots or reciprocals. | drfrost.org/explorer.php?ssid=6478 | ||
| 583d | A Level | Determine the range of values for a variable for which a binomial expansion is valid. | drfrost.org/explorer.php?ssid=6479 | ||
| 583e | A Level | Use a binomial expansion to estimate the value of a root. | drfrost.org/explorer.php?ssid=6480 | ||
| 583f | A Level | Determine the binomial expansion of expressions given in the form \sqrt{\frac{a + bx}{c + dx}} or \frac{a+bx}{\sqrt{cx+d}} | drfrost.org/explorer.php?ssid=6481 | ||
| 583g | A Level | Use the binomial expansion of \sqrt{\frac{a + bx}{c + dx}} to estimate the value of a root. | drfrost.org/explorer.php?ssid=6482 | ||
| 583h | A Level | Determine the range of values for a variable for which the product of two binomial expansions is valid. | drfrost.org/explorer.php?ssid=6483 | ||
| 583i | A Level | Determine the range of values for a variable for which a binomial expansion is valid, for more general (1+f(x))^n | drfrost.org/explorer.php?ssid=6484 | ||
| 583j | A Level | Determine the binomial expansion of a fraction that can be split into partial fractions. | drfrost.org/explorer.php?ssid=6485 | ||
| 584 | A Level | Exam Practice: Using radians for arc lengths and areas of sectors, and lengths, angles and areas of triangles | drfrost.org/explorer.php?ssid=208 | E584 | |
| 584a | A Level | Understand the definition of radians and convert between degrees and radians. | drfrost.org/explorer.php?ssid=1079 | K905 | |
| 584b | A Level | Determine the length of an arc of a sector where the angle is in radians. | drfrost.org/explorer.php?ssid=6486 | ||
| 584c | A Level | Determine the radius or angle subtended by the arc given the arc length or perimeter. | drfrost.org/explorer.php?ssid=8628 | ||
| 584d | A Level | Determine the perimeter of a sector removed from a sector. | drfrost.org/explorer.php?ssid=6488 | ||
| 584e | A Level | Determine the area of a sector where the angle is in radians. | drfrost.org/explorer.php?ssid=6489 | ||
| 584f | A Level | Use basic trigonometry and sine/cosine rules (Laws of Sines/Cosines) when the angles are in radians. | drfrost.org/explorer.php?ssid=6490 | ||
| 584g | A Level | Use the area of a triangle formula where the angle is in radians. | drfrost.org/explorer.php?ssid=6491 | ||
| 584h | A Level | Determine the perimeter of a segment where the angle is in radians. | drfrost.org/explorer.php?ssid=6492 | ||
| 584i | A Level | Determine the area of a segment where the angle is in radians. | drfrost.org/explorer.php?ssid=8629 | ||
| 584j | A Level | Determine the area of a composite shape involving a sector. | drfrost.org/explorer.php?ssid=6493 | ||
| 584k | A Level | Determine the perimeter of a region obtained by removing a triangle from a sector. | drfrost.org/explorer.php?ssid=6494 | ||
| 584l | A Level | Determine the area of a region obtained by removing a triangle from a sector. | drfrost.org/explorer.php?ssid=6495 | ||
| 584m | A Level | Determine the area of a sector where the angle is obtained using trigonometry. | drfrost.org/explorer.php?ssid=6496 | ||
| 584n | A Level | Determine the perimeter of a composite shape involving a sector. | drfrost.org/explorer.php?ssid=6497 | ||
| 584o | A Level | Determine the area of a shape involving subtraction of a sector. | drfrost.org/explorer.php?ssid=6498 | ||
| 584p | A Level | Determine the angle or radius of a sector given an area involving subtraction of the sector. | drfrost.org/explorer.php?ssid=6499 | ||
| 584q | A Level | Determine the area or perimeter of a composite shape involving a sector, where some of the lengths are algebraic. | drfrost.org/explorer.php?ssid=6500 | ||
| 584r | A Level | Determine the angle and radius of a sector given its perimeter and area. | drfrost.org/explorer.php?ssid=6487 | ||
| 585 | A Level | Exam Practice: Properties of sinusoidal graphs (in radians) | drfrost.org/explorer.php?ssid=4375 | E585 | |
| 585a | A Level | Determine the period (in radians) of a sinusoidal graph given two points on the graph. | drfrost.org/explorer.php?ssid=6501 | ||
| 585b | A Level | Determine the period (in radians) of a sinusoidal function given in the form y = a \sin (bx + c) | drfrost.org/explorer.php?ssid=6502 | ||
| 585c | A Level | Determine the equation of the midline of a sinusoidal function given in the form y = a \sin (bx + c) + d | drfrost.org/explorer.php?ssid=6503 | ||
| 585d | A Level | Determine the amplitude of a sinusoidal function given in the form y = a \sin (bx + c) + d | drfrost.org/explorer.php?ssid=6504 | ||
| 585e | A Level | Use a modelled context to determine the parameters in a sinusoidal model y = a \sin (bx + c) + d, including understanding of phase shift. | drfrost.org/explorer.php?ssid=8327 | ||
| 585f | A Level | Use technology to determine the parameters in a sinusoidal model y = a \sin (bx + c) + d | drfrost.org/explorer.php?ssid=8591 | ||
| 586 | A Level | Exam Practice: Small angle approximations for \sin, \cos and \tan when in radians | drfrost.org/explorer.php?ssid=209 | E586 | |
| 586a | A Level | Simplify expressions involving \sin or \tan using small angle approximations. | drfrost.org/explorer.php?ssid=6505 | ||
| 586b | A Level | Simplify expressions involving \cos using small angle approximations. | drfrost.org/explorer.php?ssid=6506 | ||
| 586c | A Level | Simplify expressions involving \cos of angles k\theta using small angle approximations. | drfrost.org/explorer.php?ssid=6507 | ||
| 586d | A Level | Approximate the solution of an equation using small angle approximations. | drfrost.org/explorer.php?ssid=6508 | ||
| 586e | A Level | Determine a small angle approximation for a root of \cos x by use of a binomial expansion. | drfrost.org/explorer.php?ssid=6509 | ||
| 587 | A Level | Exam Practice: Solving trigonometric equations, involving \sin, \cos and \tan, in an interval in radians | drfrost.org/explorer.php?ssid=516 | E587 | |
| 587a | A Level | Solve a trigonometric equation given in the form \sin \left(ax\right) = k where x is in radians. | drfrost.org/explorer.php?ssid=1222 | K908 | |
| 587b | A Level | Determine the minimum or maximum point(s) of a trigonometric graph, in radians. | drfrost.org/explorer.php?ssid=6510 | ||
| 587c | A Level | Determine the roots, in radians, of a trigonometric graph y = a + b \sin(cx) | drfrost.org/explorer.php?ssid=6511 | ||
| 587d | A Level | Solve an equation, in radians, given in the form \sin(kx) = a \cos(kx) | drfrost.org/explorer.php?ssid=6512 | ||
| 587e | A Level | Determine the points of intersection of two trigonometric graphs, in radians. | drfrost.org/explorer.php?ssid=6513 | ||
| 587f | A Level | Solve an equation, in radians, involving \arcsin, \arccos or \arctan | drfrost.org/explorer.php?ssid=6514 | ||
| 587g | A Level | Solve a trigonometric inequality given in the form \sin(kx) < a in radians. | drfrost.org/explorer.php?ssid=6515 | ||
| 587h | A Level | Solve a trigonometric equation, in radians, involving a mixture of \sin and \cos where one is squared. | drfrost.org/explorer.php?ssid=8592 | ||
| 588 | A Level | Exam Practice: Sketching y = \frac{1}{f(x)} and y = \left[f(x)\right]^2 | drfrost.org/explorer.php?ssid=4376 | E588 | |
| 588a | A Level | Sketch y = \frac{1}{f(x)} given a sketch of y=f(x) | drfrost.org/explorer.php?ssid=6516 | ||
| 588b | A Level | Sketch y = \frac{1}{f(x)} where y=f(x) includes a vertical asymptote. | drfrost.org/explorer.php?ssid=8836 | ||
| 588c | A Level | Sketch y = \frac{1}{f(x)} where y=f(x) includes a horizontal asymptote. | drfrost.org/explorer.php?ssid=8837 | ||
| 588d | A Level | Sketch y = \left[f(x)\right]^2 given a sketch of y=f(x) | drfrost.org/explorer.php?ssid=6517 | ||
| 588e | A Level | Sketch y = \left[f(x)\right]^2 where y=f(x) includes a vertical asymptote. | drfrost.org/explorer.php?ssid=8838 | ||
| 588f | A Level | Sketch y = \left[f(x)\right]^2 where y=f(x) includes a horizontal asymptote. | drfrost.org/explorer.php?ssid=8839 | ||
| 589 | A Level | Exam Practice: Graphs of \sec, \textrm{cosec} and \cot | drfrost.org/explorer.php?ssid=210 | E589 | |
| 589a | A Level | Evaluate \sec, \textrm{cosec} and \cot for common angles in radians. | drfrost.org/explorer.php?ssid=6519 | ||
| 589b | A Level | Sketch the graph of y=\sec x, y = \textrm{cosec}\, x or y = \cot x and identify any intercepts with the axes. | drfrost.org/explorer.php?ssid=6518 | ||
| 589c | A Level | Sketch graph transformations of y=\sec x, y = \textrm{cosec}\, x and y = \cot x | drfrost.org/explorer.php?ssid=8808 | ||
| 590 | A Level | Exam Practice: Angle sum and double/half angle formulae for \sin, \cos and \tan | drfrost.org/explorer.php?ssid=211 | E590 | |
| 590a | A Level | Make simple use of angle sum formulae. | drfrost.org/explorer.php?ssid=6521 | ||
| 590b | A Level | Prove the angle sum formulae. | drfrost.org/explorer.php?ssid=6520 | ||
| 590c | A Level | Simplify more general expressions involving \sin(A \pm B) or \cos(A \pm B) | drfrost.org/explorer.php?ssid=6526 | ||
| 590d | A Level | Determine exact values for \sin, \cos and \tan of more complex angles. | drfrost.org/explorer.php?ssid=6524 | ||
| 590e | A Level | Prove the double angle formulae. | drfrost.org/explorer.php?ssid=6522 | ||
| 590f | A Level | Make simple use of double angle formulae. | drfrost.org/explorer.php?ssid=6523 | ||
| 590g | A Level | Simplify more general trigonometric expressions involving double angles. | drfrost.org/explorer.php?ssid=6528 | ||
| 590h | A Level | Determine the value of \sin(2x) or \cos(2x) given \sin(x) or \cos(x) | drfrost.org/explorer.php?ssid=6527 | ||
| 590i | A Level | Prove identities involving \sin, \cos and \tan that also involve single and double angles. | drfrost.org/explorer.php?ssid=6529 | ||
| 590j | A Level | Solve a trigonometric equation involving a mixture of single and double angles. | drfrost.org/explorer.php?ssid=6530 | ||
| 590k | A Level | Use the double angle formulae backwards (half-angle formulae). | drfrost.org/explorer.php?ssid=6525 | ||
| 590l | A Level | Simplify expressions involving \sin(3x) or \cos(3x) | drfrost.org/explorer.php?ssid=6531 | ||
| 590m | A Level | Use the compound angle formulae leading to \tan x = a | drfrost.org/explorer.php?ssid=1587 | K999 | |
| 590n | A Level | Write \sin A \pm \sin B or \cos A \pm \cos B as a product of \sin and \cos | drfrost.org/explorer.php?ssid=6532 | ||
| 591 | A Level | Exam Practice: Expressing a \cos(x) + b \sin(x) in the form r \cos(x + k) or r \sin(x+k) | drfrost.org/explorer.php?ssid=212 | E591 | |
| 591a | A Level | Write a\cos x+b\sin x in the form R\cos(x+\alpha) | drfrost.org/explorer.php?ssid=899 | K912 | |
| 591b | A Level | Sketch an equation written in R \sin(x + \alpha) form. | drfrost.org/explorer.php?ssid=6533 | ||
| 591c | A Level | Use a R \sin(x + \alpha) form to deduce the maximum or minimum value of the original expression. | drfrost.org/explorer.php?ssid=6534 | ||
| 591d | A Level | Calculate the value of x for which the maximum or minimum value of R \sin(x + \alpha) occurs. | drfrost.org/explorer.php?ssid=6537 | ||
| 591e | A Level | Use a R \sin(x + \alpha) form to deduce the maximum or minimum value of a more complex expression. | drfrost.org/explorer.php?ssid=6536 | ||
| 591f | A Level | Use a R\sin(x + \alpha) form to solve an equation. | drfrost.org/explorer.php?ssid=6535 | ||
| 591g | A Level | Use a R \sin(x + \alpha) form to deduce the maximum or minimum value and corresponding value of x, where a variable substitution is required. | drfrost.org/explorer.php?ssid=6538 | ||
| 591h | A Level | Use a R\sin(x + \alpha) form to determine the time required to make one or more oscillations in the original model. | drfrost.org/explorer.php?ssid=6540 | ||
| 592 | A Level | Exam Practice: Constructing proofs involving \sec, \textrm{cosec} and \cot | drfrost.org/explorer.php?ssid=514 | E592 | |
| 592a | A Level | Simplify expressions involving \sin, \cos and \tan that can subsequently be written in terms of \sec, \textrm{cosec} or \cot | drfrost.org/explorer.php?ssid=6541 | ||
| 592b | A Level | Simplify expressions involving \sec, \textrm{cosec} and \cot (excluding double angle formulae). | drfrost.org/explorer.php?ssid=6542 | ||
| 592c | A Level | Simplify expressions involving \sec, \textrm{cosec} and \cot that also involve double angles. | drfrost.org/explorer.php?ssid=6543 | ||
| 592d | A Level | Prove more general identities involving \sec, \textrm{cosec} and \cot on both sides of the identity. | drfrost.org/explorer.php?ssid=6544 | ||
| 592e | A Level | Simplify expressions involving \sec^2, \textrm{cosec}^2 and \cot^2 that also involve double angles. | drfrost.org/explorer.php?ssid=6545 | ||
| 592f | A Level | Write an expression given in the form \sec(x + \alpha), \textrm{cosec}(x + \alpha) or \cot(x + \alpha) in terms of \cos, \sin or \tan | drfrost.org/explorer.php?ssid=6546 | ||
| 593 | A Level | Exam Practice: Solving trigonometric equations, involving \sec, \textrm{cosec} and \cot, in an interval | drfrost.org/explorer.php?ssid=515 | E593 | |
| 593a | A Level | Solve a trigonometric equation with \sec, \textrm{cosec} and \cot given in the form \sec(ax+b) = k where x is in degrees. | drfrost.org/explorer.php?ssid=900 | K910 | |
| 593b | A Level | Use an identity involving \sec, \textrm{cosec} or \cot to subsequently solve an equation (in degrees or radians). | drfrost.org/explorer.php?ssid=6547 | ||
| 593c | A Level | Solve an equation involving \sec, \textrm{cosec} and \cot (no double angles). | drfrost.org/explorer.php?ssid=6548 | ||
| 593d | A Level | Solve quadratic equations in terms of \sec, \textrm{cosec} or \cot | drfrost.org/explorer.php?ssid=901 | K911 | |
| 593e | A Level | Solve an equation involving \sec and \tan or \textrm{cosec} and \cot that leads to a quadratic, by using an appropriate identity. | drfrost.org/explorer.php?ssid=6549 | ||
| 593f | A Level | Solve an equation involving \sec, \textrm{cosec} and \cot and a mixture of single and double angles. | drfrost.org/explorer.php?ssid=6550 | ||
| 593g | A Level | Solve an equation involving \sec, \textrm{cosec} and \cot that uses the angle sum formulae. | drfrost.org/explorer.php?ssid=6551 | ||
| 594 | A Level | Exam Practice: Parametric equations and conversion between Cartesian and parametric forms | drfrost.org/explorer.php?ssid=197 | https://www.youtube-nocookie.com/embed/CQgB7tHPyY4 | E594 |
| 594a | A Level | Determine the Cartesian equation of a quadratic expressed in parametric form. | drfrost.org/explorer.php?ssid=6552 | ||
| 594b | A Level | Determine a Cartesian equation of a circle expressed in parametric form. | drfrost.org/explorer.php?ssid=6553 | ||
| 594c | A Level | Determine a Cartesian equation of an exponential function expressed in parametric form. | drfrost.org/explorer.php?ssid=6554 | ||
| 594d | A Level | Use parametric equations to find intersections with the coordinate axes. | drfrost.org/explorer.php?ssid=6555 | ||
| 594e | A Level | Determine a domain or range of a function using parametric equations. | drfrost.org/explorer.php?ssid=6556 | ||
| 594f | A Level | Determine the point of intersection of two curves where one is given as a Cartesian equation and the other a pair of parametric equations. | drfrost.org/explorer.php?ssid=8776 | ||
| 594g | A Level | Determine the Cartesian equation where the parametric equations involve reciprocals. | drfrost.org/explorer.php?ssid=6557 | ||
| 594h | A Level | Determine a Cartesian equation where the parametric equations involve double angle formulae or a sum of angles. | drfrost.org/explorer.php?ssid=6558 | ||
| 594i | A Level | Determine a Cartesian equation where the parametric equations involve \sec, \textrm{cosec} or \cot | drfrost.org/explorer.php?ssid=6559 | ||
| 595 | A Level | Exam Practice: Differentiating exponential functions and \ln(x) | drfrost.org/explorer.php?ssid=225 | https://www.youtube-nocookie.com/embed/xqIropQ-q1Y | E595 |
| 595a | A Level | Differentiate terms given in the form a e^{kx} | drfrost.org/explorer.php?ssid=6560 | ||
| 595b | A Level | Differentiate terms given in the form a \ln(kx) | drfrost.org/explorer.php?ssid=6561 | ||
| 595c | A Level | Differentiate a^x. | drfrost.org/explorer.php?ssid=6562 | ||
| 595d | A Level | Differentiate a mixture of e^x and \ln(x) with other functions. | drfrost.org/explorer.php?ssid=6563 | ||
| 595e | A Level | Determine the rate a physical quantity is increasing/decreasing by at a particular moment in time, using an exponential model. | drfrost.org/explorer.php?ssid=6564 | ||
| 595f | A Level | Determine the turning point of a function involving e^{kx} | drfrost.org/explorer.php?ssid=6565 | ||
| 595g | A Level | Use a known rate of growth/decay to determine a constant in an exponential model. | drfrost.org/explorer.php?ssid=6566 | ||
| 595h | A Level | Determine when two exponential models are growing/decaying at the same rate. | drfrost.org/explorer.php?ssid=6567 | ||
| 596 | A Level | Exam Practice: Differentiating \sin x and \cos x | drfrost.org/explorer.php?ssid=4377 | E596 | |
| 596a | A Level | Differentiate \sin x and \cos x from first principles. | drfrost.org/explorer.php?ssid=6568 | ||
| 596b | A Level | Differentiate expressions of the form \sin(kx) and \cos(kx) | drfrost.org/explorer.php?ssid=6569 | ||
| 596c | A Level | Differentiate a mixture of exponential, logarithmic and sinusoidal terms. | drfrost.org/explorer.php?ssid=6570 | ||
| 597 | A Level | Exam Practice: Product, quotient and chain rules | drfrost.org/explorer.php?ssid=226 | https://www.youtube-nocookie.com/embed/FtTUSAN9Hg4 | E597 |
| 597a | A Level | Apply the chain rule to differentiate functions of the form f(x)=a(bx+c)^n for rational n | drfrost.org/explorer.php?ssid=984 | K913 | |
| 597b | A Level | Apply the chain rule to differentiate functions of the form \left[f(x)\right]^n where f(x) is a polynomial and n is rational. | drfrost.org/explorer.php?ssid=985 | K914 | |
| 597c | A Level | Apply the chain rule to differentiate functions of the form \ln(ax+b), e^{ax+b}, \sin(ax+b) or \cos(ax+b) where the inner function is linear. | drfrost.org/explorer.php?ssid=986 | K915 | |
| 597d | A Level | Apply the chain rule to differentiate functions of the form \ln(f(x)), e^{f(x)}, \sin(f(x)) or \cos(f(x)) for more general f(x). | drfrost.org/explorer.php?ssid=6571 | ||
| 597e | A Level | Differentiate powers of \sin kx and \cos kx | drfrost.org/explorer.php?ssid=8727 | ||
| 597f | A Level | Determine \frac{\textrm{d}y}{\textrm{d}x} for a function x=f(y) | drfrost.org/explorer.php?ssid=8568 | ||
| 597g | A Level | Use the product rule with simple functions. | drfrost.org/explorer.php?ssid=1588 | K1000 | |
| 597h | A Level | Use the product rule and the chain rule within a single expression. | drfrost.org/explorer.php?ssid=1589 | K1001 | |
| 597i | A Level | Use the quotient rule with simple functions. | drfrost.org/explorer.php?ssid=1590 | K1002 | |
| 597j | A Level | Use the quotient rule and the chain rule within a single expression. | drfrost.org/explorer.php?ssid=1591 | K1003 | |
| 597k | A Level | Determine the gradient of a function at a given point, requiring use of chain, product or quotient rules. | drfrost.org/explorer.php?ssid=6572 | ||
| 597l | A Level | Determine the value of a constant in a function where the gradient is given, requiring use of chain, product or quotient rules. | drfrost.org/explorer.php?ssid=6573 | ||
| 597m | A Level | Determine the second derivative or higher using the chain, product or quotient rules. | drfrost.org/explorer.php?ssid=8630 | ||
| 598 | A Level | Exam Practice: Differentiating \tan x, reciprocal trigonometric functions, and powers of these | drfrost.org/explorer.php?ssid=438 | https://www.youtube-nocookie.com/embed/SXGne4Sj_MU | E598 |
| 598a | A Level | Differentiate expressions of the form \tan (kx) and \cot (kx) | drfrost.org/explorer.php?ssid=6574 | ||
| 598b | A Level | Differentiate expressions of the form \sec(kx) and \textrm{cosec}(kx) | drfrost.org/explorer.php?ssid=6575 | ||
| 598c | A Level | Use the chain rule to differentiate expressions given in the form \sec(f(x)), \textrm{cosec}(f(x)) or \cot(f(x)) for more general f(x) | drfrost.org/explorer.php?ssid=6576 | ||
| 598d | A Level | Differentiate powers of \tan x and reciprocal trigonometric functions. | drfrost.org/explorer.php?ssid=6577 | ||
| 598e | A Level | Use the product or quotient rule where one of the terms is \tan x or a reciprocal trigonometric function. | drfrost.org/explorer.php?ssid=6578 | ||
| 598f | A Level | Determine a second derivative or higher of \tan x or reciprocal trigonometric functions. | drfrost.org/explorer.php?ssid=8726 | ||
| 599 | A Level | Exam Practice: Graphs of reciprocal functions with quadratics | drfrost.org/explorer.php?ssid=4378 | E599 | |
| 599a | A Level | Sketch functions given in the form y = \frac{ax + b}{(cx + d)(ex + f)} | drfrost.org/explorer.php?ssid=6579 | ||
| 599b | A Level | Identify the equation of the oblique asymptote of graphs of functions in the form y = \frac{(ax + b)(cx + d)}{ex + f} | drfrost.org/explorer.php?ssid=6580 | ||
| 599c | A Level | Identify the turning points of graphs of functions in the form y = \frac{(ax + b)(cx + d)}{ex + f} | drfrost.org/explorer.php?ssid=6581 | ||
| 599d | A Level | Sketch functions given in the form y = \frac{(ax + b)(cx + d)}{ex + f} | drfrost.org/explorer.php?ssid=6582 | ||
| 599e | A Level | Use quadratic theory (not calculus) to find the coordinates of the stationary points of the graph for rational functions given in form \frac{ax^2+bx+c}{dx^2+ex+f} | drfrost.org/explorer.php?ssid=6583 | ||
| 599f | A Level | Sketch the graph for a function given in the form f(x) = \frac{ax^2+bx+c}{dx^2+ex+f} | drfrost.org/explorer.php?ssid=6584 | ||
| 600 | A Level | Exam Practice: Implicit differentiation | drfrost.org/explorer.php?ssid=437 | https://www.youtube-nocookie.com/embed/26Bitr8kWgk | E600 |
| 600a | A Level | Differentiate a single term in terms of x and y | drfrost.org/explorer.php?ssid=8631 | ||
| 600b | A Level | Determine the gradient function for a polynomial in x and y | drfrost.org/explorer.php?ssid=6585 | ||
| 600c | A Level | Determine the gradient for a polynomial in x and y at a specific point. | drfrost.org/explorer.php?ssid=6586 | ||
| 600d | A Level | Determine \frac{dy}{dx} for more general implicit relationships, including trigonometric, logarithmic and exponential terms. | drfrost.org/explorer.php?ssid=6587 | ||
| 600e | A Level | Determine \frac{dy}{dx} for more general implicit relationships, where x or y is given. | drfrost.org/explorer.php?ssid=6588 | ||
| 600f | A Level | Determine the coordinates of critical points where the tangent of a curve, defined by an implicit equation, is parallel to the y-axis. | drfrost.org/explorer.php?ssid=6590 | ||
| 600g | A Level | Determine the coordinates of points on a circle, with given equation, where the tangent has given gradient. | drfrost.org/explorer.php?ssid=8852 | ||
| 601 | A Level | Exam Practice: Logarithmic differentiation | drfrost.org/explorer.php?ssid=4379 | E601 | |
| 601a | A Level | Prove that the derivative of a^x is a^x \ln a | drfrost.org/explorer.php?ssid=6591 | ||
| 601b | A Level | Differentiate functions of the form \left[f(x)\right]^x | drfrost.org/explorer.php?ssid=6592 | ||
| 601c | A Level | Differentiate functions of the form \left[f(x)\right]^{g(x)} | drfrost.org/explorer.php?ssid=8632 | ||
| 601d | A Level | Determine the stationary point for a function of the form \left[f(x)\right]^x | drfrost.org/explorer.php?ssid=6593 | ||
| 602 | A Level | Exam Practice: Concavity and points of inflection | drfrost.org/explorer.php?ssid=4380 | E602 | |
| 602a | A Level | Determine whether a curve is convex (concave-up) or concave (concave-down) at a specific point. | drfrost.org/explorer.php?ssid=6594 | ||
| 602b | A Level | Reason about the shape of a drawn graph at a specific point by using the second derivative. | drfrost.org/explorer.php?ssid=6595 | ||
| 602c | A Level | Determine the interval for which a curve is convex (concave-up) or concave (concave-down). | drfrost.org/explorer.php?ssid=6596 | ||
| 602d | A Level | Show that function is convex or concave for all real values of x | drfrost.org/explorer.php?ssid=6597 | ||
| 602e | A Level | Determine a non-stationary point of inflection of a cubic function. | drfrost.org/explorer.php?ssid=6598 | ||
| 602f | A Level | Determine a non-stationary point of inflection for a more complex function. | drfrost.org/explorer.php?ssid=6599 | ||
| 603 | A Level | Exam Practice: Connected rates of change | drfrost.org/explorer.php?ssid=462 | https://www.youtube-nocookie.com/embed/s1nWynPfUSY | E603 |
| 603a | A Level | Determine the rate at which the volume or surface area of a cube is increasing, given the rate of increase of the height, or vice versa. | drfrost.org/explorer.php?ssid=6601 | ||
| 603b | A Level | Determine the rate at which the volume or surface area of a sphere is increasing given the rate of increase of the radius, or vice versa. | drfrost.org/explorer.php?ssid=6602 | ||
| 603c | A Level | Determine the rate of change of a volume, surface area or length given an arbitrary formula. | drfrost.org/explorer.php?ssid=6603 | ||
| 603d | A Level | Determine the rate of change of a volume, surface area or length where the formula must be derived. | drfrost.org/explorer.php?ssid=8490 | ||
| 603e | A Level | Use the chain rule twice to determine the rate at which the volume or surface area of a solid is increasing given the rate of the other. | drfrost.org/explorer.php?ssid=6604 | ||
| 604 | A Level | Exam Practice: Differentiating parametric equations | drfrost.org/explorer.php?ssid=227 | https://www.youtube-nocookie.com/embed/SI0lT8IqSAM | E604 |
| 604a | A Level | Determine \frac{dy}{dx} for parametric equations involving powers of t | drfrost.org/explorer.php?ssid=6605 | ||
| 604b | A Level | Determine \frac{dy}{dx} for parametric equations involving reciprocals. | drfrost.org/explorer.php?ssid=8656 | ||
| 604c | A Level | Determine \frac{dy}{dx} for parametric equations involving e^t and \ln(t) | drfrost.org/explorer.php?ssid=6606 | ||
| 604d | A Level | Determine \frac{dy}{dx} for parametric equations involving \sin, \cos and \tan and their powers. | drfrost.org/explorer.php?ssid=6607 | ||
| 604e | A Level | Determine \frac{dy}{dx} for parametric equations involving \sec, \textrm{cosec} and \cot and their powers. | drfrost.org/explorer.php?ssid=6608 | ||
| 604f | A Level | Use parametric equations for a displacement (x,y) to find the speed of a particle. | drfrost.org/explorer.php?ssid=6609 | ||
| 604g | A Level | Determine the equation of a tangent or normal to a parametric curve. | drfrost.org/explorer.php?ssid=8657 | ||
| 605 | A Level | Exam Practice: Tangents and normals for non-polynomial functions | drfrost.org/explorer.php?ssid=512 | E605 | |
| 605a | A Level | Determine the equation of the tangent or normal to a curve, involving e^x, \ln(x), \sin, \cos and \tan (no product/chain/quotient rule). | drfrost.org/explorer.php?ssid=8633 | ||
| 605b | A Level | Determine the equation of the tangent or normal to a curve, involving e^x, \ln(x), \sin, \cos and \tan, requiring use of the product/chain/quotient rule. | drfrost.org/explorer.php?ssid=6610 | ||
| 605c | A Level | Determine the equation of the tangent or normal to a curve when x = f(y) | drfrost.org/explorer.php?ssid=6611 | ||
| 605d | A Level | Determine the equation of the tangent or normal to a curve using parametric equations. | drfrost.org/explorer.php?ssid=6612 | ||
| 606 | A Level | Exam Practice: Maxima and minima and stationary points for non-polynomial equations | drfrost.org/explorer.php?ssid=513 | E606 | |
| 606a | A Level | Determine the stationary point for expressions involving e^x, \ln(x), \sin, \cos and \tan, requiring use of the product rule. | drfrost.org/explorer.php?ssid=6613 | ||
| 606b | A Level | Determine the stationary point of a fractional expression using the quotient rule. | drfrost.org/explorer.php?ssid=6614 | ||
| 606c | A Level | Determine the stationary points for an implicit polynomial relationship between x and y | drfrost.org/explorer.php?ssid=6615 | ||
| 606d | A Level | Determine the stationary point for a curve expressed using parametric equations. | drfrost.org/explorer.php?ssid=6616 | ||
| 606e | A Level | Find the coordinates of stationary points where the curve is defined by an implicit equation. | drfrost.org/explorer.php?ssid=6589 | ||
| 606f | A Level | Determine the range of values for which a non-polynomial function is increasing or decreasing. | drfrost.org/explorer.php?ssid=8635 | ||
| 606g | A Level | Show that a non-polynomial function is increasing or decreasing. | drfrost.org/explorer.php?ssid=8636 | ||
| 606h | A Level | Find the value of a constant for which a non-polynomial function is increasing or decreasing. | drfrost.org/explorer.php?ssid=8634 | ||
| 607 | A Level | Exam Practice: Differentiating expressions given in the form x = f(y) for trigonometric functions | drfrost.org/explorer.php?ssid=4381 | E607 | |
| 607a | A Level | Determine \frac{dy}{dx} where x = \sin(ky) or x = \cos(ky) | drfrost.org/explorer.php?ssid=6617 | ||
| 607b | A Level | Determine \frac{dy}{dx} where x = \tan(ky) or x = \cot(ky) | drfrost.org/explorer.php?ssid=6618 | ||
| 607c | A Level | Determine \frac{dy}{dx} where x = \sec(ky) or x = \textrm{cosec}(ky) | drfrost.org/explorer.php?ssid=6619 | ||
| 607d | A Level | Determine \frac{dy}{dx} where x is a power of a trigonometric function in terms of y | drfrost.org/explorer.php?ssid=6620 | ||
| 607e | A Level | Determine \frac{dy}{dx} where x = \ln(f(y)) or x = e^{f(y)} for some trigonometric function. | drfrost.org/explorer.php?ssid=6621 | ||
| 608 | A Level | Exam Practice: Differentiating inverse trigonometric functions | drfrost.org/explorer.php?ssid=239 | E608 | |
| 608a | A Level | Differentiate inverse trigonometric functions directly. | drfrost.org/explorer.php?ssid=6622 | ||
| 608b | A Level | Differentiate a product or quotient involving an inverse trigonometric function. | drfrost.org/explorer.php?ssid=6623 | ||
| 608c | A Level | Differentiate composite functions using standard results for inverse trigonometric functions. | drfrost.org/explorer.php?ssid=6624 | ||
| 608d | A Level | Determine the equation of a tangent or normal to an inverse trigonometric curve. | drfrost.org/explorer.php?ssid=6625 | ||
| 609 | A Level | Exam Practice: (Fixed point) iteration on more advanced functions and use of cobweb and staircase diagrams | drfrost.org/explorer.php?ssid=282 | E609 | |
| 609a | A Level | Form an iterative formula that would enable the root of the function to be found. | drfrost.org/explorer.php?ssid=6626 | ||
| 609b | A Level | Use an iterative formula involving \ln(x), e^x, \sec, \textrm{cosec}, \cot or inverse trigonometric functions. | drfrost.org/explorer.php?ssid=6627 | ||
| 609c | A Level | Form an iterative formula to that would enable a point of intersection of two curves to be found. | drfrost.org/explorer.php?ssid=6628 | ||
| 609d | A Level | Form an iterative formula to determine a turning point or where the gradient is a given value. | drfrost.org/explorer.php?ssid=6629 | ||
| 609e | A Level | Use a cobweb or staircase diagram to determine whether an iterative formula will converge to the root. | drfrost.org/explorer.php?ssid=6630 | ||
| 610 | A Level | Exam Practice: Applying relaxations to a fixed point convergence | drfrost.org/explorer.php?ssid=4382 | E610 | |
| 610a | A Level | Use the relaxed fixed point iteration formula x_{n+1} = (1-\lambda)x_n + \lambda g(x_n) with a specified \lambda to accelerate convergence. | drfrost.org/explorer.php?ssid=6631 | ||
| 611 | A Level | Exam Practice: Solving equations using the Newton-Raphson method (Newton's method) | drfrost.org/explorer.php?ssid=283 | E611 | |
| 611a | A Level | Use a given point and given gradient to perform one iteration of the Newton-Raphson method. | drfrost.org/explorer.php?ssid=6633 | ||
| 611b | A Level | Understand the conditions under which the Newton-Raphson method fails. | drfrost.org/explorer.php?ssid=6634 | ||
| 611c | A Level | Form an iterative formula using the Newton-Raphson method. | drfrost.org/explorer.php?ssid=6636 | ||
| 611d | A Level | Use the Newton-Raphson method to find the root of a function. | drfrost.org/explorer.php?ssid=6637 | ||
| 611e | A Level | Use the Newton-Raphson method to find the solution of an equation given in the form f(x) = g(x) | drfrost.org/explorer.php?ssid=6638 | ||
| 611f | A Level | Use the Newton-Raphson method to find the turning point of a graph. | drfrost.org/explorer.php?ssid=8807 | ||
| 612 | A Level | Exam Practice: Bisection method | drfrost.org/explorer.php?ssid=4383 | E612 | |
| 612a | A Level | Use the bisection method on a starting interval to narrow the location of the root to an interval of a given size. | drfrost.org/explorer.php?ssid=6639 | ||
| 613 | A Level | Exam Practice: Linear interpolation method (false position method) for locating roots | drfrost.org/explorer.php?ssid=4384 | E613 | |
| 613a | A Level | Use linear interpolation, with one or more iterations, to find approximations of a root. | drfrost.org/explorer.php?ssid=6640 | ||
| 614 | A Level | Exam Practice: Secant method | drfrost.org/explorer.php?ssid=4385 | E614 | |
| 614a | A Level | Use the secant method, with one or more iterations, to find the approximations of a root. | drfrost.org/explorer.php?ssid=6641 | ||
| 615 | A Level | Exam Practice: Order of convergence of numerical methods for locating roots | drfrost.org/explorer.php?ssid=4386 | E615 | |
| 615a | A Level | Determine the order of convergence for a given fixed point iteration. | drfrost.org/explorer.php?ssid=6642 | ||
| 615b | A Level | Show that the Newton-Raphson method has quadratic convergence. | drfrost.org/explorer.php?ssid=6643 | ||
| 615c | A Level | Show that the bisection method has linear convergence. | drfrost.org/explorer.php?ssid=6644 | ||
| 615d | A Level | Show that the linear interpolation method has linear convergence and compare to the bisection method. | drfrost.org/explorer.php?ssid=6645 | ||
| 616 | A Level | Exam Practice: Forward difference method and central difference method for approximating derivatives | drfrost.org/explorer.php?ssid=4387 | E616 | |
| 616a | A Level | Estimate a first derivative using the forward difference method where the graph of the function is given. | drfrost.org/explorer.php?ssid=6646 | ||
| 616b | A Level | Estimate a first derivative using the central difference method where the graph of the function is given. | drfrost.org/explorer.php?ssid=6647 | ||
| 617 | A Level | Exam Practice: Integrating exponential, trigonometric functions and \frac{1}{x} | drfrost.org/explorer.php?ssid=231 | https://www.youtube-nocookie.com/embed/-wfk6oAXQ80 | E617 |
| 617a | A Level | Integrate trigonometric functions of the form k \sin x | drfrost.org/explorer.php?ssid=8539 | ||
| 617b | A Level | Integrate other standard functions (no chain rule). | drfrost.org/explorer.php?ssid=1334 | K917 | |
| 617c | A Level | Integrate standard functions first requiring bracket expansion (no chain rule). | drfrost.org/explorer.php?ssid=8637 | ||
| 617d | A Level | Determine a definite integral using trigonometric functions of the form k \sin x | drfrost.org/explorer.php?ssid=8540 | ||
| 617e | A Level | Determine a definite integral using other standard functions (no chain rule). | drfrost.org/explorer.php?ssid=6648 | ||
| 617f | A Level | Use a known definite integral value to determine an unknown constant or bound, involving standard functions (no chain rule). | drfrost.org/explorer.php?ssid=6649 | ||
| 618 | A Level | Exam Practice: Integration by inspection | drfrost.org/explorer.php?ssid=368 | https://www.youtube-nocookie.com/embed/FBKuSOICxkk | E618 |
| 618a | A Level | Integrate expressions given in the form (x + b)^n | drfrost.org/explorer.php?ssid=8541 | ||
| 618b | A Level | Integrate expressions given in the form (ax + b)^n | drfrost.org/explorer.php?ssid=6650 | ||
| 618c | A Level | Integrate expressions given in the form \frac{a}{(bx+c)^n} | drfrost.org/explorer.php?ssid=8542 | ||
| 618d | A Level | Integrate other standard functions given in the form f(ax+b), including \frac{1}{ax+b} | drfrost.org/explorer.php?ssid=1335 | K918 | |
| 618e | A Level | Integrate expressions given in the form kf'(x)\left[ f(x) \right]^n by inspection. | drfrost.org/explorer.php?ssid=1305 | K919 | |
| 618f | A Level | Integrate expressions given in the form \frac{kf'(x)}{\left[ f(x) \right]^n} by inspection. | drfrost.org/explorer.php?ssid=8370 | ||
| 618g | A Level | Integrate expressions given in the form \frac{k f'(x)}{f(x)} | drfrost.org/explorer.php?ssid=6652 | ||
| 618h | A Level | Integrate \sin^2 x, \cos^2 x, \tan^2 x, \cot^2 x | drfrost.org/explorer.php?ssid=1631 | ||
| 618i | A Level | Calculate a definite integral involving integration by inspection. | drfrost.org/explorer.php?ssid=6653 | ||
| 618j | A Level | Calculate a definite integral involving integration by inspection that includes a tangent or normal. | drfrost.org/explorer.php?ssid=8638 | ||
| 619 | A Level | Exam Practice: Integration by substitution | drfrost.org/explorer.php?ssid=232 | https://www.youtube-nocookie.com/embed/ibmND5Mwm_E | E619 |
| 619a | A Level | Integrate expressions given in the form x(ax+b)^n using a substitution. | drfrost.org/explorer.php?ssid=1478 | K950 | |
| 619b | A Level | Integrate expressions given in the form \sin^n(x) \cos(x) using a substitution. | drfrost.org/explorer.php?ssid=6654 | ||
| 619c | A Level | Use a (non-trigonometric) substitution to integrate more general expressions. | drfrost.org/explorer.php?ssid=6655 | ||
| 619d | A Level | Determine a definite integral involving a (non-trigonometric) substitution. | drfrost.org/explorer.php?ssid=8765 | ||
| 619e | A Level | Use a trigonometric substitution to integrate more general expressions. | drfrost.org/explorer.php?ssid=6656 | ||
| 619f | A Level | Determine a definite integral involving a trigonometric substitution. | drfrost.org/explorer.php?ssid=8766 | ||
| 619g | A Level | Use a substitution u^2 = ... by using implicit differentiation. | drfrost.org/explorer.php?ssid=6657 | ||
| 620 | A Level | Exam Practice: Integration by parts | drfrost.org/explorer.php?ssid=233 | https://www.youtube-nocookie.com/embed/z1aznGsx_Yk | E620 |
| 620a | A Level | Determine an integral using integration by parts (excluding \ln(x)). | drfrost.org/explorer.php?ssid=1479 | K951 | |
| 620b | A Level | Determine an integral involving \ln(x) | drfrost.org/explorer.php?ssid=6658 | ||
| 620c | A Level | Determine an integral using integration by parts twice. | drfrost.org/explorer.php?ssid=1480 | K952 | |
| 620d | A Level | Determine a definite integral or area under a graph using integration by parts. | drfrost.org/explorer.php?ssid=6659 | ||
| 620e | A Level | Determine an integral involving (\ln(x))^2 | drfrost.org/explorer.php?ssid=6660 | ||
| 620f | A Level | Determine the area formed by a curve and a normal to the curve. | drfrost.org/explorer.php?ssid=6661 | ||
| 620g | A Level | Use a substitution to obtain an expression which can be integrated by parts. | drfrost.org/explorer.php?ssid=6662 | ||
| 621 | A Level | Exam Practice: Integration using partial fractions | drfrost.org/explorer.php?ssid=234 | https://www.youtube-nocookie.com/embed/l_sBYRZ4Ykk | E621 |
| 621a | A Level | Determine an integral involving partial fractions. | drfrost.org/explorer.php?ssid=6663 | ||
| 621b | A Level | Determine an integral involving partial fractions where a factor in the denominator is in the form ax^2 + c. | drfrost.org/explorer.php?ssid=8464 | ||
| 621c | A Level | Determine a definite integral involving partial fractions. | drfrost.org/explorer.php?ssid=6664 | ||
| 621d | A Level | Determine a definite integral by use of a substitution followed by splitting into partial fractions. | drfrost.org/explorer.php?ssid=6665 | ||
| 621e | A Level | Determine a definite integral by use of a substitution followed by integration by parts. | drfrost.org/explorer.php?ssid=6666 | ||
| 622 | A Level | Exam Practice: Solving first order differential equations | drfrost.org/explorer.php?ssid=235 | https://www.youtube-nocookie.com/embed/S9sXzIYf0xE | E622 |
| 622a | A Level | Form a differential equation using provided relationships between variables/quantities. | drfrost.org/explorer.php?ssid=6667 | ||
| 622b | A Level | Solve differential equations given in the form \frac{dy}{dx} \propto x and \frac{dy}{dx} \propto y and appreciate their significance in modelling. | drfrost.org/explorer.php?ssid=6668 | ||
| 622c | A Level | Solve differential equations involving general polynomial expressions in x and y, including roots and reciprocals | drfrost.org/explorer.php?ssid=6669 | ||
| 622d | A Level | Solve a differential equation involving exponential functions. | drfrost.org/explorer.php?ssid=8640 | ||
| 622e | A Level | Solve a differential equation involving trigonometric functions. | drfrost.org/explorer.php?ssid=6670 | ||
| 622f | A Level | Solve a differential equation involving partial fractions. | drfrost.org/explorer.php?ssid=6671 | ||
| 622g | A Level | Solve a differential equation where factorisation is required to make the variables linearly separable. | drfrost.org/explorer.php?ssid=6672 | ||
| 622h | A Level | Find the particular solution of a first order differential equation. | drfrost.org/explorer.php?ssid=8641 | ||
| 622i | A Level | Use a model obtained from a first-order differential equation to find inputs, outputs and long-term behaviour. | drfrost.org/explorer.php?ssid=8642 | ||
| 623 | A Level | Exam Practice: Logistic models f(x) = \frac{L}{1 + Ce^{-kx}} | drfrost.org/explorer.php?ssid=4388 | E623 | |
| 623a | A Level | Understand the properties of logistic growth and how it forms the differential equation \frac{dP}{dt} = kP(a - P), and recognise the shape of the graph. | drfrost.org/explorer.php?ssid=6673 | ||
| 623b | A Level | Solve a logistic growth differential equation to obtain a logistic equation. | drfrost.org/explorer.php?ssid=6674 | ||
| 623c | A Level | Determine an output of a logistic model. | drfrost.org/explorer.php?ssid=6675 | ||
| 623d | A Level | Determine an input of a logistic model given the output. | drfrost.org/explorer.php?ssid=6676 | ||
| 623e | A Level | Determine the horizontal asymptote (carrying capacity) of a logistic model. | drfrost.org/explorer.php?ssid=6677 | ||
| 624 | A Level | Exam Practice: Integrating parametric equations | drfrost.org/explorer.php?ssid=454 | https://www.youtube-nocookie.com/embed/4Ziy6LXtC5Y | E624 |
| 624a | A Level | Determine an indefinite integral using parametric equations. | drfrost.org/explorer.php?ssid=6678 | ||
| 624b | A Level | Determine a definite integral or area under a graph using parametric equations. | drfrost.org/explorer.php?ssid=6679 | ||
| 625 | A Level | Exam Practice: The trapezium rule (trapezoidal rule) | drfrost.org/explorer.php?ssid=284 | E625 | |
| 625a | A Level | Use the trapezium rule (trapezoidal rule) with a given table of values. | drfrost.org/explorer.php?ssid=6680 | ||
| 625b | A Level | Use the trapezium rule (trapezoidal rule) where a table of values is first required. | drfrost.org/explorer.php?ssid=6681 | ||
| 625c | A Level | Determine when the trapezium rule (trapezoidal rule) will underestimate or overestimate an area under the graph. | drfrost.org/explorer.php?ssid=6682 | ||
| 625d | A Level | Explain how an estimate for the area using the trapezium rule (trapezoidal rule) could be made more accurate. | drfrost.org/explorer.php?ssid=8593 | ||
| 625e | A Level | Use an estimate for an area under a graph to estimate the area of a transformed function. | drfrost.org/explorer.php?ssid=6683 | ||
| 626 | A Level | Exam Practice: Covariance | drfrost.org/explorer.php?ssid=4389 | E626 | |
| 626a | A Level | Interpret the covariance of a data set. | drfrost.org/explorer.php?ssid=6684 | ||
| 626b | A Level | Calculate the covariance of two variables. | drfrost.org/explorer.php?ssid=6685 | ||
| 627 | A Level | Exam Practice: Product Moment Correlation Coefficient, including effect of coding | drfrost.org/explorer.php?ssid=322 | E627 | |
| 627a | A Level | Interpret a given product moment correlation coefficient and whether it supports a regression equation. | drfrost.org/explorer.php?ssid=6686 | ||
| 627b | A Level | Understand that correlation does not imply causation (and identify potential lurking/confounding variables in a study). | drfrost.org/explorer.php?ssid=6687 | ||
| 627c | A Level | Determine the effect of linear coding of one or both variables on the product moment correlation coefficient. | drfrost.org/explorer.php?ssid=6688 | ||
| 628 | A Level | Exam Practice: Calculating the Product Moment Correlation Coefficient | drfrost.org/explorer.php?ssid=4390 | E628 | |
| 628a | A Level | Use a calculator to calculate the product moment correlation coefficient from listed data. | drfrost.org/explorer.php?ssid=6689 | ||
| 628b | A Level | Calculate the product moment correlation coefficient using formulae. | drfrost.org/explorer.php?ssid=6690 | ||
| 629 | A Level | Exam Practice: Spearman's rank correlation coefficient | drfrost.org/explorer.php?ssid=323 | E629 | |
| 629a | A Level | Understand the conditions under which it would be appropriate to calculate Spearman's rank correlation coefficient versus the Product moment correlation coefficient. | drfrost.org/explorer.php?ssid=6691 | ||
| 629b | A Level | Interpret a calculated Spearman's rank correlation coefficient. | drfrost.org/explorer.php?ssid=6693 | ||
| 629c | A Level | Calculate Spearman's rank correlation coefficient using the standard formula. | drfrost.org/explorer.php?ssid=1548 | K981 | |
| 629d | A Level | Calculate Spearman's rank correlation coefficient using the statistics functionality on a calculator. | drfrost.org/explorer.php?ssid=8496 | ||
| 629e | A Level | Calculate Spearman's rank correlation coefficient with tied ranks. | drfrost.org/explorer.php?ssid=6692 | ||
| 630 | A Level | Exam Practice: Hypothesis test on a product moment correlation coefficient | drfrost.org/explorer.php?ssid=319 | E630 | |
| 630a | A Level | State the null and alternative hypothesis of a one-tailed or two-tailed test on a product moment correlation coefficient. | drfrost.org/explorer.php?ssid=6694 | ||
| 630b | A Level | Determine the critical value for a one-tailed or two-tailed test on a product moment correlation coefficient. | drfrost.org/explorer.php?ssid=6695 | ||
| 630c | A Level | Conduct a full hypothesis test on a product moment correlation coefficient. | drfrost.org/explorer.php?ssid=6696 | ||
| 630d | A Level | Use a p-value to conduct a hypothesis test on a product moment correlation coefficient. | drfrost.org/explorer.php?ssid=6697 | ||
| 631 | A Level | Exam Practice: Hypothesis test on a Spearman's rank correlation coefficient | drfrost.org/explorer.php?ssid=4391 | E631 | |
| 631a | A Level | Conduct a one-tailed hypothesis test for association using Spearman's rank correlation coefficient. | drfrost.org/explorer.php?ssid=6698 | ||
| 631b | A Level | Conduct a two-tailed hypothesis test for association using Spearman's rank correlation coefficient. | drfrost.org/explorer.php?ssid=8497 | ||
| 632 | A Level | Exam Practice: Probability using set notation | drfrost.org/explorer.php?ssid=450 | E632 | |
| 632a | A Level | Use set notation to calculate probabilities of mutually exclusive events from given probabilities. | drfrost.org/explorer.php?ssid=1776 | ||
| 632b | A Level | Understand how mutual exclusivity is reflected in Venn diagrams and understand the significance of A \cap B = \emptyset | drfrost.org/explorer.php?ssid=6699 | ||
| 632c | A Level | Calculate P(...) probabilities involving a mixture of set intersection, union and complements, with a given Venn diagram. | drfrost.org/explorer.php?ssid=6700 | ||
| 632d | A Level | Calculate P(...) probabilities involving a mixture of set intersection, union and complements, by forming a Venn diagram. | drfrost.org/explorer.php?ssid=6701 | ||
| 633 | A Level | Exam Practice: Probability law for independent events (multiplication rule) | drfrost.org/explorer.php?ssid=4392 | E633 | |
| 633a | A Level | Calculate probabilities of independent events, using P(...) notation. | drfrost.org/explorer.php?ssid=1234 | https://www.youtube-nocookie.com/embed/2FXHYuJG3no | K846 |
| 633b | A Level | Calculate the probability of one event given the probability of another independent event and their combined probability. | drfrost.org/explorer.php?ssid=6704 | ||
| 633c | A Level | Determine whether two events are independent given probabilities. | drfrost.org/explorer.php?ssid=1190 | https://www.youtube-nocookie.com/embed/rwlJnamNH5s | K849 |
| 633d | A Level | Determine whether two events are independent given a Venn diagram. | drfrost.org/explorer.php?ssid=1297 | K850 | |
| 633e | A Level | Determine whether two events are independent by first forming a Venn diagram. | drfrost.org/explorer.php?ssid=6705 | ||
| 633f | A Level | Determine an unknown probability in a Venn diagram by using independence of variables. | drfrost.org/explorer.php?ssid=6706 | ||
| 634 | A Level | Exam Practice: Addition rule for mutually exclusive events | drfrost.org/explorer.php?ssid=449 | E634 | |
| 634a | A Level | Determine P(A \cup B) using the addition rule. | drfrost.org/explorer.php?ssid=6702 | ||
| 634b | A Level | Combine the addition rule and independence of two variables to determine a probability. | drfrost.org/explorer.php?ssid=6703 | ||
| 635 | A Level | Exam Practice: Probability law for conditional events | drfrost.org/explorer.php?ssid=4393 | E635 | |
| 635a | A Level | Determine a probability P(A|B) using a two-way table. | drfrost.org/explorer.php?ssid=6707 | ||
| 635b | A Level | Determine a probability P(A|B) using a Venn diagram with frequencies. | drfrost.org/explorer.php?ssid=6708 | ||
| 635c | A Level | Determine P(A|B) via use of a Venn diagram. | drfrost.org/explorer.php?ssid=6709 | ||
| 635d | A Level | Use the conditional probability formula to find P(A|B) | drfrost.org/explorer.php?ssid=6710 | ||
| 635e | A Level | Determine P(A|B) where A and B are independent. | drfrost.org/explorer.php?ssid=8643 | ||
| 635f | A Level | Use the conditional probability formula to find P(A \cap B) | drfrost.org/explorer.php?ssid=6711 | ||
| 635g | A Level | Use a Venn Diagram to find the probability of a conjunction using the conditional probability formula. | drfrost.org/explorer.php?ssid=1584 | K998 | |
| 635h | A Level | Determine a conditional probability using a tree diagram and the conditional probability formula. | drfrost.org/explorer.php?ssid=6712 | ||
| 635i | A Level | Determine unknown probabilities in a Venn diagram by using the conditional probability formula combined with independence of variables. | drfrost.org/explorer.php?ssid=6714 | ||
| 636 | A Level | Exam Practice: Bayes' Theorem | drfrost.org/explorer.php?ssid=4394 | E636 | |
| 636a | A Level | Determine P(A|B) given P(B|A) and P(B) | drfrost.org/explorer.php?ssid=6715 | ||
| 636b | A Level | Determine P(A|B) using Bayes theorem by first forming a probability tree. | drfrost.org/explorer.php?ssid=6716 | ||
| 637 | A Level | Exam Practice: Permutations and Combinations | drfrost.org/explorer.php?ssid=483 | E637 | |
| 637a | A Level | Use the factorial function to get the number of arrangements of objects. | drfrost.org/explorer.php?ssid=6717 | ||
| 637b | A Level | Use the factorial function to get the number of arrangements of multiple groups. | drfrost.org/explorer.php?ssid=6718 | ||
| 637c | A Level | Determine the number of arrangements of letters in a word with repeated letters. | drfrost.org/explorer.php?ssid=6719 | ||
| 637d | A Level | Use a single application of a permutation function. | drfrost.org/explorer.php?ssid=6720 | ||
| 637e | A Level | Use a single application of a choose function. | drfrost.org/explorer.php?ssid=6721 | ||
| 637f | A Level | Determine the number of choices when picking multiple items from two or more groups. | drfrost.org/explorer.php?ssid=6722 | ||
| 637g | A Level | Determine the number of choices when a subsequent group of items is chosen from the same group. | drfrost.org/explorer.php?ssid=6723 | ||
| 637h | A Level | Determine the number of arrangements when a group of objects needs to be kept together. | drfrost.org/explorer.php?ssid=6724 | ||
| 637i | A Level | Determine the number of arrangements when two objects must be kept apart. | drfrost.org/explorer.php?ssid=6725 | ||
| 637j | A Level | Determine a probability involving the choose function. | drfrost.org/explorer.php?ssid=6726 | ||
| 637k | A Level | Determine a probability, involving the choose function or factorials, in terms of a variable. | drfrost.org/explorer.php?ssid=6727 | ||
| 637l | A Level | Determine the number of arrangements when more than two objects must be kept apart. | drfrost.org/explorer.php?ssid=8393 | ||
| 637m | A Level | Determine the number of subsets of a set. | drfrost.org/explorer.php?ssid=8679 | ||
| 638 | A Level | Exam Practice: Further properties of Pascal's triangle | drfrost.org/explorer.php?ssid=4395 | E638 | |
| 638a | A Level | Prove Pascal's rule. | drfrost.org/explorer.php?ssid=6728 | ||
| 638b | A Level | Prove that the sum of each row of Pascal's triangle gives powers of 2. | drfrost.org/explorer.php?ssid=6729 | ||
| 638c | A Level | Prove that the sum of each diagonal of Pascal's triangle forms the Fibonacci sequence. | drfrost.org/explorer.php?ssid=6730 | ||
| 639 | A Level | Exam Practice: Binomial distribution | drfrost.org/explorer.php?ssid=305 | E639 | |
| 639a | A Level | Determine a binomial model appropriate for a given context. | drfrost.org/explorer.php?ssid=6731 | ||
| 639b | A Level | Determine the probability of no successes or all successes. | drfrost.org/explorer.php?ssid=6732 | ||
| 639c | A Level | Calculate binomial probabilities in the form P(X=x) (no context), and appreciate the relationship of this formula with the binomial expansion of (p + q)^n | drfrost.org/explorer.php?ssid=1524 | K851 | |
| 639d | A Level | Calculate binomial probabilities in the form P(X=x) in context. | drfrost.org/explorer.php?ssid=1525 | K852 | |
| 639e | A Level | Know the assumptions made when modelling using a binomial distribution. | drfrost.org/explorer.php?ssid=6733 | ||
| 639f | A Level | Calculate cumulative binomial probabilities (no context). | drfrost.org/explorer.php?ssid=1087 | K853 | |
| 639g | A Level | Calculate cumulative binomial probabilities in context. | drfrost.org/explorer.php?ssid=1317 | K854 | |
| 639h | A Level | Calculate the probability of a range for a binomial distribution. | drfrost.org/explorer.php?ssid=6734 | ||
| 639i | A Level | Use a binomial probability to calculate another binomial probability. | drfrost.org/explorer.php?ssid=1345 | K855 | |
| 639j | A Level | Determine the probability of success given the probability of at least one success. | drfrost.org/explorer.php?ssid=6735 | ||
| 639k | A Level | Determine the number of trials given the probability of at least one success. | drfrost.org/explorer.php?ssid=1560 | K991 | |
| 639l | A Level | Use the probability of success obtained from a binomial distribution to find an unknown in a given function. | drfrost.org/explorer.php?ssid=6736 | ||
| 639m | A Level | Determine a range in a binomial model that leads to a given probability. | drfrost.org/explorer.php?ssid=6737 | ||
| 639n | A Level | Determine an unknown in a binomial distribution given a ratio between probabilities. | drfrost.org/explorer.php?ssid=8644 | ||
| 640 | A Level | Exam Practice: Properties of the normal distribution and finding the probability of ranges | drfrost.org/explorer.php?ssid=309 | E640 | |
| 640a | A Level | Know the conditions for the normal distribution to be a suitable model. | drfrost.org/explorer.php?ssid=6738 | ||
| 640b | A Level | Understand the notation X \sim \mathcal{N}(\mu,\,\sigma^{2}) and use this to sketch normal curves. | drfrost.org/explorer.php?ssid=6739 | ||
| 640c | A Level | Calculate the number of standard deviations a value has from the mean. | drfrost.org/explorer.php?ssid=6740 | ||
| 640d | A Level | Use the 68-95-99.7 rule to find the probability of values within a given number of standard deviations of the mean, in context. | drfrost.org/explorer.php?ssid=6741 | ||
| 640e | A Level | Use the 68-95-99.7 rule to find the probability of more general ranges, in context. | drfrost.org/explorer.php?ssid=6742 | ||
| 640f | A Level | Calculate probabilities with the normal distribution (no context). | drfrost.org/explorer.php?ssid=1228 | K920 | |
| 640g | A Level | Calculate probabilities with the normal distribution in context. | drfrost.org/explorer.php?ssid=6743 | ||
| 641 | A Level | Exam Practice: Inverse normal distribution | drfrost.org/explorer.php?ssid=452 | E641 | |
| 641a | A Level | Use the inverse normal distribution (no context). | drfrost.org/explorer.php?ssid=1229 | K921 | |
| 641b | A Level | Use the inverse normal distribution in context. | drfrost.org/explorer.php?ssid=6744 | ||
| 641c | A Level | Determine a quartile of a normal distribution. | drfrost.org/explorer.php?ssid=6745 | ||
| 641d | A Level | Use the inverse normal distribution with a double inequality. | drfrost.org/explorer.php?ssid=1232 | K922 | |
| 641e | A Level | Use the inverse normal distribution with a double inequality, where the variable is used twice. | drfrost.org/explorer.php?ssid=6746 | ||
| 642 | A Level | Exam Practice: Conditional probabilities involving a normal distribution | drfrost.org/explorer.php?ssid=4396 | E642 | |
| 642a | A Level | Determine a conditional probability of a range using a normal distribution. | drfrost.org/explorer.php?ssid=6747 | ||
| 642b | A Level | Determine the median of a restricted range within a normal distribution. | drfrost.org/explorer.php?ssid=6748 | ||
| 642c | A Level | Use the symmetry of a normal distribution to find conditional probabilities. | drfrost.org/explorer.php?ssid=6749 | ||
| 642d | A Level | Determine a value at a more general position given a restricted range in a normal distribution. | drfrost.org/explorer.php?ssid=6750 | ||
| 642e | A Level | Solve more difficult problems involving conditional probabilities for a normal distribution. | drfrost.org/explorer.php?ssid=6751 | ||
| 643 | A Level | Exam Practice: Standard normal distribution (including unknown mean and standard deviation) | drfrost.org/explorer.php?ssid=453 | E643 | |
| 643a | A Level | Understand the Z distribution and convert values to a z-value. | drfrost.org/explorer.php?ssid=6752 | ||
| 643b | A Level | Determine the mean of a normal distribution (no context). | drfrost.org/explorer.php?ssid=1230 | K923 | |
| 643c | A Level | Determine the standard deviation of a normal distribution (no context). | drfrost.org/explorer.php?ssid=1231 | K924 | |
| 643d | A Level | Determine the mean and standard deviation of a normal distribution (no context). | drfrost.org/explorer.php?ssid=1762 | ||
| 643e | A Level | Determine the mean or standard deviation of a normal distribution in context. | drfrost.org/explorer.php?ssid=6753 | ||
| 643f | A Level | Determine the mean or standard deviation of a normal distribution where the probability of a two-ended range is given in context. | drfrost.org/explorer.php?ssid=6754 | ||
| 643g | A Level | Determine the mean and standard deviation of a normal distribution in context. | drfrost.org/explorer.php?ssid=6755 | ||
| 644 | A Level | Exam Practice: Normal distribution as an approximation to a binomial distribution | drfrost.org/explorer.php?ssid=310 | E644 | |
| 644a | A Level | Approximate a binomial distribution using a normal distribution. | drfrost.org/explorer.php?ssid=6756 | ||
| 644b | A Level | Use a continuity correction to give an equivalent continuous range to a discrete one. | drfrost.org/explorer.php?ssid=6757 | ||
| 644c | A Level | Determine the probability of a range by using a normal approximation to a binomial distribution (no context). | drfrost.org/explorer.php?ssid=1264 | K925 | |
| 644d | A Level | Determine the probability of a range by using a normal approximation to a binomial distribution in context. | drfrost.org/explorer.php?ssid=6758 | ||
| 644e | A Level | Use a normal approximation to a binomial distribution to determine the k in P(X \le k) | drfrost.org/explorer.php?ssid=6759 | ||
| 644f | A Level | Use a normal approximation to a binomial distribution to determine the number of trials n. | drfrost.org/explorer.php?ssid=8780 | ||
| 645 | A Level | Exam Practice: Hypothesis tests on the mean of a population by using a sample | drfrost.org/explorer.php?ssid=317 | E645 | |
| 645a | A Level | Determine the distribution for the sample mean \bar{X} | drfrost.org/explorer.php?ssid=6760 | ||
| 645b | A Level | Conduct a one-tailed hypothesis test on the mean of a population. | drfrost.org/explorer.php?ssid=6761 | ||
| 645c | A Level | Conduct a two-tailed hypothesis test on the mean of a population. | drfrost.org/explorer.php?ssid=6762 | ||
| 645d | A Level | Determine the critical region for the sample mean. | drfrost.org/explorer.php?ssid=6763 | ||
| 646 | A Level | Exam Practice: Solving problems involving moments, with forces in a single plane (e.g. rods, suspended bar) | drfrost.org/explorer.php?ssid=327 | E646 | |
| 646a | A Level | Calculate the moment of a force about a point. | drfrost.org/explorer.php?ssid=1089 | K926 | |
| 646b | A Level | Calculate the resulting moment of perpendicular forces about a point. | drfrost.org/explorer.php?ssid=1097 | K927 | |
| 646c | A Level | Calculate the resulting moment of inclined forces about a point. | drfrost.org/explorer.php?ssid=1166 | K928 | |
| 646d | A Level | Determine the reaction forces on a uniform rod resting on two supports. | drfrost.org/explorer.php?ssid=1167 | K929 | |
| 646e | A Level | Determine the mass of an object resting on a uniform rod. | drfrost.org/explorer.php?ssid=6764 | ||
| 646f | A Level | Determine the distance of a support from a point on a uniform rod when the rod is in equilibrium. | drfrost.org/explorer.php?ssid=1168 | K930 | |
| 646g | A Level | Determine a distance on a uniform rod when reaction forces are connected. | drfrost.org/explorer.php?ssid=1169 | K931 | |
| 646h | A Level | Determine the reaction forces on a non-uniform rod resting on two supports. | drfrost.org/explorer.php?ssid=1171 | K932 | |
| 646i | A Level | Determine the centre of mass of a non-uniform rod resting on two supports. | drfrost.org/explorer.php?ssid=1172 | K933 | |
| 646j | A Level | Determine the centre of mass of a non-uniform rod resting on a single support. | drfrost.org/explorer.php?ssid=1173 | K934 | |
| 646k | A Level | Solve problems involving rods where the rod is on the verge of tilting. | drfrost.org/explorer.php?ssid=6765 | ||
| 646l | A Level | Determine the tension in two strings supporting a suspended rod. | drfrost.org/explorer.php?ssid=6766 | ||
| 646m | A Level | Solve problems involving rods where an object on the rod is considered at multiple locations (no tilting). | drfrost.org/explorer.php?ssid=6767 | ||
| 646n | A Level | Solve problems involving rods where an object on the rod is considered at multiple locations (with tilting). | drfrost.org/explorer.php?ssid=6768 | ||
| 646o | A Level | Calculate the moment of a couple. | drfrost.org/explorer.php?ssid=8465 | ||
| 647 | A Level | Exam Practice: Forces on a single particle in equilibrium, not on an inclined plane, using F = \mu R | drfrost.org/explorer.php?ssid=518 | E647 | |
| 647a | A Level | Determine the coefficient of friction where a horizontal force pulls a particle in limiting equilibrium. | drfrost.org/explorer.php?ssid=1200 | K935 | |
| 648 | A Level | Exam Practice: Determining components of angled forces and manipulating the resultant force vector | drfrost.org/explorer.php?ssid=4397 | E648 | |
| 648a | A Level | Determine the vertical or horizontal components of a single angled force. | drfrost.org/explorer.php?ssid=6769 | ||
| 648b | A Level | Determine the resultant vector from multiple angled forces. | drfrost.org/explorer.php?ssid=6770 | ||
| 648c | A Level | Determine the magnitude of the resultant vector from multiple angled forces. | drfrost.org/explorer.php?ssid=6771 | ||
| 648d | A Level | Determine the direction of an angled force that would result in equilibrium. | drfrost.org/explorer.php?ssid=8517 | ||
| 648e | A Level | Determine the direction of the resultant vector from multiple angled forces. | drfrost.org/explorer.php?ssid=6772 | ||
| 648f | A Level | Determine the magnitude of an unknown angled force that leads to a resultant vector. | drfrost.org/explorer.php?ssid=6773 | ||
| 649 | A Level | Exam Practice: Forces on a single particle in equilibrium, on an inclined plane/inclined forces, no F = \mu R | drfrost.org/explorer.php?ssid=519 | E649 | |
| 649a | A Level | Determine the force needed to hold a particle in equilibrium on a smooth inclined plane, when the force is parallel to the plane. | drfrost.org/explorer.php?ssid=1694 | ||
| 649b | A Level | Determine the force needed to hold a particle in equilibrium on a smooth inclined plane, when the force is horizontal. | drfrost.org/explorer.php?ssid=1698 | ||
| 649c | A Level | Determine the tension when a particle on a string is held at an incline to a vertical wall. | drfrost.org/explorer.php?ssid=6774 | ||
| 649d | A Level | Determine the mass of a particle on a string that is held at an incline to a vertical wall. | drfrost.org/explorer.php?ssid=6775 | ||
| 649e | A Level | Determine the force needed to hold a particle in equilibrium on a smooth inclined plane, when the force is neither horizontal nor parallel to the plane. | drfrost.org/explorer.php?ssid=1700 | ||
| 649f | A Level | Determine the normal reaction force when an angled force holds a particle in equilibrium on a smooth inclined plane. | drfrost.org/explorer.php?ssid=6776 | ||
| 649g | A Level | Determine the unknown force or mass when a particle attached to a string is held in equilibrium by a horizontal force. | drfrost.org/explorer.php?ssid=1701 | ||
| 649h | A Level | Determine the unknown force or mass when a particle attached to a string is held in equilibrium by a force that is not horizontal. | drfrost.org/explorer.php?ssid=1703 | ||
| 649i | A Level | Determine the tensions when a particle is suspended from a ceiling by two strings. | drfrost.org/explorer.php?ssid=6777 | ||
| 650 | A Level | Exam Practice: Forces on a single particle in equilibrium, on an inclined plane/inclined forces, using F = \mu R | drfrost.org/explorer.php?ssid=520 | E650 | |
| 650a | A Level | Determine the coefficient of friction where an inclined force pulls a particle in limiting equilibrium. | drfrost.org/explorer.php?ssid=1201 | K936 | |
| 650b | A Level | Determine the maximum magnitude of an inclined force to a rough horizontal plane where the particle maintains equilibrium. | drfrost.org/explorer.php?ssid=6778 | ||
| 650c | A Level | Determine a force at an angle to a rough inclined plane that would maintain a particle in equilibrium. | drfrost.org/explorer.php?ssid=6779 | ||
| 650d | A Level | Determine the tension of a rope keeping a particle in equilibrium on a rough inclined plane. | drfrost.org/explorer.php?ssid=6780 | ||
| 650e | A Level | Determine the coefficient of friction when a force at an angle to a rough inclined plane maintains a particle in equilibrium. | drfrost.org/explorer.php?ssid=6781 | ||
| 650f | A Level | Prove that \mu = \tan \theta is the angle of inclination at which a block will slide on a rouch inclined plane. | drfrost.org/explorer.php?ssid=8662 | ||
| 651 | A Level | Exam Practice: Forces on an accelerating single particle, not on an inclined plane, using F = \mu R | drfrost.org/explorer.php?ssid=522 | E651 | |
| 651a | A Level | Find the acceleration of a particle on a rough horizontal plane pulled by a horizontal force. | drfrost.org/explorer.php?ssid=1203 | K937 | |
| 652 | A Level | Exam Practice: Forces on an accelerating single particle, on an inclined plane/inclined forces, no F = \mu R | drfrost.org/explorer.php?ssid=523 | E652 | |
| 652a | A Level | Determine the acceleration of a particle pulled by a string on an inclined plane. | drfrost.org/explorer.php?ssid=1198 | K948 | |
| 653 | A Level | Exam Practice: Forces on an accelerating single particle, on an inclined plane/inclined forces, using F = \mu R | drfrost.org/explorer.php?ssid=524 | E653 | |
| 653a | A Level | Determine the acceleration of a particle on a rough horizontal plane pulled by an inclined force. | drfrost.org/explorer.php?ssid=1204 | K938 | |
| 653b | A Level | Determine the mass of a particle on a rough horizontal plane pulled by an inclined force. | drfrost.org/explorer.php?ssid=6782 | ||
| 653c | A Level | Determine the acceleration of a particle down a rough inclined slope, where no additional forces are involved. | drfrost.org/explorer.php?ssid=6783 | ||
| 653d | A Level | Determine the coefficient of friction of a particle accelerating on an inclined plane, where additional forces are involved. | drfrost.org/explorer.php?ssid=1249 | K939 | |
| 653e | A Level | Determine the acceleration of a particle accelerating on an inclined plane, where friction is involved. | drfrost.org/explorer.php?ssid=6784 | ||
| 654 | A Level | Exam Practice: Projectile motion in 2D | drfrost.org/explorer.php?ssid=485 | E654 | |
| 654a | A Level | Determine the horizontal displacement of a particle projected horizontally. | drfrost.org/explorer.php?ssid=1215 | K941 | |
| 654b | A Level | Determine the vertical displacement of a particle projected horizontally. | drfrost.org/explorer.php?ssid=1216 | K942 | |
| 654c | A Level | Determine the time taken for a particle to reach the ground after being projected horizontally. | drfrost.org/explorer.php?ssid=1217 | K943 | |
| 654d | A Level | Determine the initial velocity of a particle projected horizontally. | drfrost.org/explorer.php?ssid=1218 | K944 | |
| 654e | A Level | Determine the maximum height of a particle projected at an angle. | drfrost.org/explorer.php?ssid=1219 | K945 | |
| 654f | A Level | Determine the time taken for a particle to reach the ground after being projected at an angle. | drfrost.org/explorer.php?ssid=8853 | ||
| 654g | A Level | Determine the angle of projection of a particle given the maximum height it has reached. | drfrost.org/explorer.php?ssid=1220 | K946 | |
| 654h | A Level | Determine the minimum speed of a particle projected at an angle. | drfrost.org/explorer.php?ssid=6785 | ||
| 654i | A Level | Determine the angle of projection of a particle given its horizontal range and initial speed. | drfrost.org/explorer.php?ssid=6786 | ||
| 654j | A Level | Determine the height of a particle projected at an angle, after a given horizontal distance is travelled. | drfrost.org/explorer.php?ssid=6787 | ||
| 654k | A Level | Determine the initial velocity of a particle projected at an angle. | drfrost.org/explorer.php?ssid=1221 | K947 | |
| 654l | A Level | Determine the initial velocity of a particle projected at an angle, where the particle starts above ground. | drfrost.org/explorer.php?ssid=6788 | ||
| 654m | A Level | Determine the final speed of a particle projected at an angle, where the particle starts above ground. | drfrost.org/explorer.php?ssid=6789 | ||
| 654n | A Level | Determine the height of a particle projected at an unknown angle at a specific instant. | drfrost.org/explorer.php?ssid=1509 | K974 | |
| 654o | A Level | Understand the limitations of a model for projectile motion. | drfrost.org/explorer.php?ssid=8850 | ||
| 654p | A Level | Determine the time before a particle is moving parallel to the initial direction of its destination. | drfrost.org/explorer.php?ssid=6790 | ||
| 654q | A Level | Solve problems involving two particles being projected at an angle towards each other. | drfrost.org/explorer.php?ssid=6791 | ||
| 654r | A Level | Use vectors to solve projectile motion problems. | drfrost.org/explorer.php?ssid=6792 | ||
| 654s | A Level | Determine the range of a projectile up or down a uniform slope. | drfrost.org/explorer.php?ssid=8594 | ||
| 655 | A Level | Exam Practice: Forces on accelerating connected particles, not on an inclined plane, using F = \mu R | drfrost.org/explorer.php?ssid=530 | E655 | |
| 655a | A Level | Determine the acceleration of two connected particles on a rough horizontal plane. | drfrost.org/explorer.php?ssid=6793 | ||
| 655b | A Level | Determine the coefficient of friction between a rough horizontal plane and two connected particles. | drfrost.org/explorer.php?ssid=6794 | ||
| 655c | A Level | Determine the tension in a string connecting a particle on a rough horizontal table and a vertically hanging particle. | drfrost.org/explorer.php?ssid=6795 | ||
| 655d | A Level | Determine the coefficient between a table and a particle when the particle is connected to another hanging over the edge, where the acceleration is given. | drfrost.org/explorer.php?ssid=6796 | ||
| 656 | A Level | Exam Practice: Forces on accelerating connected particles, on an inclined plane/inclined forces, no F = \mu R | drfrost.org/explorer.php?ssid=531 | E656 | |
| 656a | A Level | Determine the tension or thrust in an inline towbar (where forces of resistance are given). | drfrost.org/explorer.php?ssid=6797 | ||
| 656b | A Level | Determine the acceleration of two connected vehicles on an inclined road (where forces of resistance are given). | drfrost.org/explorer.php?ssid=6798 | ||
| 656c | A Level | Determine the acceleration of a system that connects one particle on a smooth inclined plane and one hanging freely. | drfrost.org/explorer.php?ssid=6799 | ||
| 656d | A Level | Determine the tension in a string that connects one particle on a smooth inclined plane and one hanging freely. | drfrost.org/explorer.php?ssid=6800 | ||
| 657 | A Level | Exam Practice: Forces on accelerating connected particles, on an inclined plane/inclined forces, using F = \mu R | drfrost.org/explorer.php?ssid=532 | E657 | |
| 657a | A Level | Determine the acceleration of a system that connects one particle on a rough inclined plane and one hanging freely. | drfrost.org/explorer.php?ssid=6801 | ||
| 657b | A Level | Determine the mass of a particle in a system that connects one particle on a rough inclined plane and one hanging freely. | drfrost.org/explorer.php?ssid=6802 | ||
| 657c | A Level | Determine the tension in a string that connects one particle on a rough inclined plane and one hanging freely. | drfrost.org/explorer.php?ssid=6803 | ||
| 657d | A Level | Determine the acceleration in a system that connects one particle on a rough inclined plane and one on a rough horizontal plane. | drfrost.org/explorer.php?ssid=6804 | ||
| 657e | A Level | Determine the tension in a string that connects one particle on a rough inclined plane and one on a rough horizontal plane. | drfrost.org/explorer.php?ssid=6805 | ||
| 657f | A Level | Determine the magnitude of the force acting on a pulley that connects one particle on a rough inclined plane and one hanging freely. | drfrost.org/explorer.php?ssid=6806 | ||
| 658 | A Level | Exam Practice: Considering forces on accelerating particles (with an incline and possibly F = \mu R) to make calculations about subsequent motion | drfrost.org/explorer.php?ssid=4398 | E658 | |
| 658a | A Level | Determine the distanced moved by a particle on a rough horizontal plane after an inclined towbar connecting it to another particle is detached. | drfrost.org/explorer.php?ssid=6807 | ||
| 658b | A Level | Determine the velocity a particle hanging vertically hits the ground, when connected to a particle on a rough inclined plane. | drfrost.org/explorer.php?ssid=6808 | ||
| 658c | A Level | Determine the distance moved by a particle on a rough inclined plane after it is disconnected from a particle vertically. | drfrost.org/explorer.php?ssid=6809 | ||
| 658d | A Level | Determine the time taken for the string to become taut again after a particle hanging vertically reaches the ground. | drfrost.org/explorer.php?ssid=6810 | ||
| 658e | A Level | Determine the deceleration or distance moved by a particle on a rough horizontal plane after it is disconnected from a particle hanging over an inclined plane. | drfrost.org/explorer.php?ssid=6811 | ||
| 659 | A Level | Exam Practice: Static rigid body problems with forces in multiple planes, e.g. hinges/ladders | drfrost.org/explorer.php?ssid=533 | E659 | |
| 659a | A Level | Determine the coefficient of friction of a rod resting on a wall in limiting equilibrium. | drfrost.org/explorer.php?ssid=1242 | K940 | |
| 659b | A Level | Determine the reaction force of a horizontal floor or a vertical wall against a rod resting on it. | drfrost.org/explorer.php?ssid=6812 | ||
| 659c | A Level | Determine the range of values for the force applied at the bottom of a rod that would maintain equilibrium. | drfrost.org/explorer.php?ssid=6815 | ||
| 659d | A Level | Determine the tension in an inclined string or thrust in an inclined rod that supports another horizontal rod. | drfrost.org/explorer.php?ssid=6813 | ||
| 659e | A Level | Determine the magnitude of the force exerted by a wall on a horizontal rod that is supported by another inclined rod. | drfrost.org/explorer.php?ssid=6814 | ||
| 659f | A Level | Determine the reaction force of a rough horizontal floor against a rod resting on a cylinder. | drfrost.org/explorer.php?ssid=6816 | ||
| 659g | A Level | Determine the reaction force of a vertical wall against a rod resting over the top of it. | drfrost.org/explorer.php?ssid=6817 | ||
| 659h | A Level | Determine the height of a vertical wall on which a rod is resting. | drfrost.org/explorer.php?ssid=6818 | ||
| 660 | A Level | Exam Practice: Vector calculations for displacement or velocity with constant velocity | drfrost.org/explorer.php?ssid=4399 | E660 | |
| 660a | A Level | Determine the speed of a particle given its velocity vector. | drfrost.org/explorer.php?ssid=6819 | ||
| 660b | A Level | Determine the bearing of a moving particle given two displacements. | drfrost.org/explorer.php?ssid=6820 | ||
| 660c | A Level | Use the formula \textbf{r}_B = \textbf{r}_A + \textbf{v}t to determine the position of a particle after a given time. | drfrost.org/explorer.php?ssid=6821 | ||
| 660d | A Level | Use the formula \textbf{r}_B = \textbf{r}_A + \textbf{v}t to determine the velocity of a particle given two displacements. | drfrost.org/explorer.php?ssid=6822 | ||
| 660e | A Level | Determine a vector for the displacement of a particle in terms of the time t, given two positions of the particle. | drfrost.org/explorer.php?ssid=6823 | ||
| 660f | A Level | Determine the angle of direction associated with a velocity vector. | drfrost.org/explorer.php?ssid=6824 | ||
| 660g | A Level | Determine the time at which two particles meet, given their initial displacements and velocities. | drfrost.org/explorer.php?ssid=6825 | ||
| 660h | A Level | Determine the times at which a particle is a given distance from a fixed point, given its displacement in terms of the time t | drfrost.org/explorer.php?ssid=6826 | ||
| 660i | A Level | Determine the times at which two particles are at a given distance apart, given their initial displacements and velocities. | drfrost.org/explorer.php?ssid=6827 | ||
| 660j | A Level | Determine the time at which a particle is at a cardinal direction relative to a fixed point. | drfrost.org/explorer.php?ssid=6828 | ||
| 660k | A Level | Determine the time at which a particle is at a cardinal direction relative to another, given their displacement vectors in terms of time t | drfrost.org/explorer.php?ssid=6829 | ||
| 660l | A Level | Determine the speed of a particle, involving an unknown constant, when it is at a cardinal direction relative to another particle. | drfrost.org/explorer.php?ssid=6830 | ||
| 661 | A Level | Exam Practice: Vector calculations given a constant acceleration vector | drfrost.org/explorer.php?ssid=436 | E661 | |
| 661a | A Level | Use \textbf{F} = m\textbf{a} to find the magnitude of a force given an acceleration vector or vice versa. | drfrost.org/explorer.php?ssid=6831 | ||
| 661b | A Level | Use the formula \textbf{v} = \textbf{u} + \textbf{a}t with vectors to find the acceleration. | drfrost.org/explorer.php?ssid=6832 | ||
| 661c | A Level | Use the formula \textbf{v} = \textbf{u} + \textbf{a}t with vectors to find a velocity as a function of time t | drfrost.org/explorer.php?ssid=6833 | ||
| 661d | A Level | Use the formula \textbf{v} = \textbf{u} + \textbf{a}t with vectors to find a speed at a given time. | drfrost.org/explorer.php?ssid=6834 | ||
| 661e | A Level | Use the formula \textbf{r} = \textbf{u}t + \frac{1}{2}\textbf{a}t^2 with vectors to find a position vector at a given time. | drfrost.org/explorer.php?ssid=6835 | ||
| 661f | A Level | Use the formula \textbf{r} = \textbf{u}t + \frac{1}{2}\textbf{a}t^2 with vectors to find the distance from a starting point at a given time. | drfrost.org/explorer.php?ssid=6836 | ||
| 661g | A Level | Calculate a vector for velocity to determine the time when a particle is moving in a particular cardinal direction. | drfrost.org/explorer.php?ssid=6837 | ||
| 661h | A Level | Determine the value of a constant in a velocity vector given the magnitude of a force. | drfrost.org/explorer.php?ssid=6838 | ||
| 662 | A Level | Exam Practice: Vector calculations for displacement or velocity with variable acceleration | drfrost.org/explorer.php?ssid=4400 | E662 | |
| 662a | A Level | Differentiate once to find the velocity or acceleration (vector) of a particle at a particular time. | drfrost.org/explorer.php?ssid=6839 | ||
| 662b | A Level | Differentiate twice to find the acceleration (vector) of a particle at a particular time. | drfrost.org/explorer.php?ssid=6840 | ||
| 662c | A Level | Integrate to determine the displacement at time t of a particle given its velocity and initial displacement. | drfrost.org/explorer.php?ssid=6841 | ||
| 662d | A Level | Use a vector for velocity to determine the time when a particle is moving in a particular direction. | drfrost.org/explorer.php?ssid=6842 | ||
| 662e | A Level | Use a vector for velocity to determine the time when a particle is moving at a given speed. | drfrost.org/explorer.php?ssid=6843 | ||
| 663 | A Level | Exam Practice: Understanding imaginary numbers | drfrost.org/explorer.php?ssid=4401 | E663 | |
| 663a | A Level | Simplify the square root of a negative number. | drfrost.org/explorer.php?ssid=6844 | ||
| 663b | A Level | Calculate i^k for any positive integer k | drfrost.org/explorer.php?ssid=6845 | ||
| 663c | A Level | Calculate (ai)^k for any positive integer k and real a | drfrost.org/explorer.php?ssid=6846 | ||
| 664 | A Level | Exam Practice: Adding, subtracting and multiplying complex numbers | drfrost.org/explorer.php?ssid=163 | E664 | |
| 664a | A Level | Add or subtract two complex numbers. | drfrost.org/explorer.php?ssid=6847 | ||
| 664b | A Level | Simplify a complex expression involving a single bracket expansion. | drfrost.org/explorer.php?ssid=6848 | ||
| 664c | A Level | Multiply two complex numbers. | drfrost.org/explorer.php?ssid=6849 | ||
| 664d | A Level | Square a complex number. | drfrost.org/explorer.php?ssid=6850 | ||
| 664e | A Level | Multiply three complex numbers. | drfrost.org/explorer.php?ssid=6851 | ||
| 665 | A Level | Exam Practice: Binomial expansion with complex numbers | drfrost.org/explorer.php?ssid=4402 | E665 | |
| 665a | A Level | Expand and simplify (a+bi)^n for positive integer n | drfrost.org/explorer.php?ssid=6852 | ||
| 665b | A Level | Expand and simplify (a-bi)^n for positive integer n | drfrost.org/explorer.php?ssid=6853 | ||
| 666 | A Level | Exam Practice: Complex conjugation | drfrost.org/explorer.php?ssid=4403 | E666 | |
| 666a | A Level | Write the conjugate of a complex number z^* (or \bar{z}). | drfrost.org/explorer.php?ssid=6854 | ||
| 666b | A Level | Determine z + z^* | drfrost.org/explorer.php?ssid=6855 | ||
| 666c | A Level | Determine zz^* | drfrost.org/explorer.php?ssid=6856 | ||
| 666d | A Level | Solve an equation involving both z and z^* | drfrost.org/explorer.php?ssid=6857 | ||
| 667 | A Level | Exam Practice: Division of complex numbers | drfrost.org/explorer.php?ssid=4404 | E667 | |
| 667a | A Level | Divide a complex number by an integer. | drfrost.org/explorer.php?ssid=6858 | ||
| 667b | A Level | Divide a complex number by another complex number. | drfrost.org/explorer.php?ssid=1502 | K971 | |
| 668 | A Level | Exam Practice: Solving quadratic equations to find potentially complex roots | drfrost.org/explorer.php?ssid=161 | E668 | |
| 668a | A Level | Given a complex root of a quadratic equation, state the other root. | drfrost.org/explorer.php?ssid=6859 | ||
| 668b | A Level | Solve quadratic equations with complex roots. | drfrost.org/explorer.php?ssid=1500 | K969 | |
| 668c | A Level | Determine a quadratic equation given one of its complex roots. | drfrost.org/explorer.php?ssid=1503 | K972 | |
| 668d | A Level | Factorise the sum of squares using complex numbers. | drfrost.org/explorer.php?ssid=6860 | ||
| 668e | A Level | Know the Fundamental Theorem of Algebra. | drfrost.org/explorer.php?ssid=6861 | ||
| 669 | A Level | Exam Practice: Solving cubic and quartic equations to find potentially complex roots | drfrost.org/explorer.php?ssid=162 | E669 | |
| 669a | A Level | State the number of real roots and complex roots of a cubic graph given its sketch. | drfrost.org/explorer.php?ssid=6862 | ||
| 669b | A Level | State the number of real roots and complex roots of a quartic graph given its sketch. | drfrost.org/explorer.php?ssid=6863 | ||
| 669c | A Level | Given a complex root of a cubic or quartic equation, state another root. | drfrost.org/explorer.php?ssid=6864 | ||
| 669d | A Level | Determine the 3 roots of a cubic equation given factorisation into a linear and quadratic factor. | drfrost.org/explorer.php?ssid=6865 | ||
| 669e | A Level | Determine the 4 roots of a quartic equation given factorisation into two quadratic factors. | drfrost.org/explorer.php?ssid=6866 | ||
| 669f | A Level | Verify a complex root of a cubic or quartic equation. | drfrost.org/explorer.php?ssid=6867 | ||
| 669g | A Level | Solve a cubic equation with complex roots, given its real root. | drfrost.org/explorer.php?ssid=1504 | K973 | |
| 669h | A Level | Determine a cubic equation given a real root and a complex root. | drfrost.org/explorer.php?ssid=6868 | ||
| 669i | A Level | Determine a quartic equation given a real root and a complex root. | drfrost.org/explorer.php?ssid=6869 | ||
| 669j | A Level | Determine a quartic equation given two of its (non-conjugate) roots. | drfrost.org/explorer.php?ssid=6870 | ||
| 669k | A Level | Determine the constant term in a quartic equation given a real root. | drfrost.org/explorer.php?ssid=6871 | ||
| 669l | A Level | Solve a quartic equation given one of its complex roots. | drfrost.org/explorer.php?ssid=6872 | ||
| 669m | A Level | Determine the 3 other roots of a quartic equation given one complex root and some coefficients of the quartic unknown. | drfrost.org/explorer.php?ssid=6873 | ||
| 670 | A Level | Exam Practice: Argand diagrams | drfrost.org/explorer.php?ssid=164 | E670 | |
| 670a | A Level | Plot a complex number on an argand diagram. | drfrost.org/explorer.php?ssid=6874 | ||
| 670b | A Level | Read off a complex number plotted on an argand diagram. | drfrost.org/explorer.php?ssid=6875 | ||
| 670c | A Level | Plot the conjugate z^* of a complex number z on an argand diagram. | drfrost.org/explorer.php?ssid=6876 | ||
| 670d | A Level | Determine the modulus \left|z\right| of a complex number. | drfrost.org/explorer.php?ssid=6877 | ||
| 670e | A Level | Determine the midpoint of two complex numbers on an Argand diagram. | drfrost.org/explorer.php?ssid=6878 | ||
| 670f | A Level | Determine the distance between two points on an Argand diagram. | drfrost.org/explorer.php?ssid=6879 | ||
| 670g | A Level | Determine the argument \textrm{arg}(z) of a complex number in the first quadrant. | drfrost.org/explorer.php?ssid=6880 | ||
| 670h | A Level | Determine the argument \textrm{arg}(z) of a complex number in the second quadrant. | drfrost.org/explorer.php?ssid=6881 | ||
| 670i | A Level | Determine the argument \textrm{arg}(z) of a complex number in the third or fourth quadrants. | drfrost.org/explorer.php?ssid=6882 | ||
| 670j | A Level | Determine the argument of a complex number that requires prior calculation. | drfrost.org/explorer.php?ssid=6883 | ||
| 670k | A Level | Determine an unknown constant in a complex expression with a given modulus. | drfrost.org/explorer.php?ssid=6884 | ||
| 670l | A Level | Determine an unknown constant in a complex expression with a given argument. | drfrost.org/explorer.php?ssid=6885 | ||
| 671 | A Level | Exam Practice: Conversion between Cartesian (rectangular) and modulus-argument (polar) form | drfrost.org/explorer.php?ssid=165 | E671 | |
| 671a | A Level | Convert a complex number from Cartesian to modulus-argument form. | drfrost.org/explorer.php?ssid=6886 | ||
| 671b | A Level | Convert a complex number from modulus-argument form into Cartesian/rectangular form. | drfrost.org/explorer.php?ssid=6887 | ||
| 671c | A Level | Write r(\cos \theta - i \sin \theta) in modulus argument form and recognise as the conjugate. | drfrost.org/explorer.php?ssid=6888 | ||
| 672 | A Level | Exam Practice: Multiplying and dividing complex numbers in modulus-argument form | drfrost.org/explorer.php?ssid=4405 | E672 | |
| 672a | A Level | Determine the modulus of the product of two complex numbers in modulus-argument form. | drfrost.org/explorer.php?ssid=6889 | ||
| 672b | A Level | Determine the modulus of the product of two complex numbers in a mixture of Cartesian and modulus-argument form. | drfrost.org/explorer.php?ssid=6890 | ||
| 672c | A Level | Determine the modulus of the division of two complex numbers in a mixture of Cartesian and modulus-argument form. | drfrost.org/explorer.php?ssid=6891 | ||
| 672d | A Level | Determine the argument of the product of two complex numbers in modulus-argument form, where one is in the form \cos \theta - i \sin \theta | drfrost.org/explorer.php?ssid=6892 | ||
| 672e | A Level | Determine the product of two complex numbers in modulus-argument form where one is given in Cartesian/rectangular form and the other in modulus-argument form. | drfrost.org/explorer.php?ssid=6893 | ||
| 672f | A Level | Determine the division of two complex numbers in modulus-argument form where one is given in Cartesian/rectangular form and the other in modulus-argument form. | drfrost.org/explorer.php?ssid=6894 | ||
| 672g | A Level | Understand the geometrical effects of multiplying and dividing two complex numbers on an Argand diagram. | drfrost.org/explorer.php?ssid=6895 | ||
| 672h | A Level | Determine a complex number z_1 where z_2 is given along with the argument and modulus of their product. | drfrost.org/explorer.php?ssid=6896 | ||
| 673 | A Level | Exam Practice: Simple loci in an Argand diagram | drfrost.org/explorer.php?ssid=166 | E673 | |
| 673a | A Level | Sketch the locus of points z such that \left|z\right| = r | drfrost.org/explorer.php?ssid=6897 | ||
| 673b | A Level | Sketch the locus of points z such that \left|z\right| - z_1| = r | drfrost.org/explorer.php?ssid=6898 | ||
| 673c | A Level | Sketch the locus of points on an argand diagram where \left|z - z_1\right| = \left|z - z_2\right| | drfrost.org/explorer.php?ssid=6899 | ||
| 673d | A Level | Determine the Cartesian equation of a locus of points z constrained by \left|z - z_1\right| = \left|z - z_2\right| | drfrost.org/explorer.php?ssid=6900 | ||
| 673e | A Level | Sketch a locus of points z where \textrm{arg}(z) = k | drfrost.org/explorer.php?ssid=6901 | ||
| 673f | A Level | Sketch a locus of points z where \textrm{arg}(z - z_1) = k | drfrost.org/explorer.php?ssid=6902 | ||
| 673g | A Level | Determine the Cartesian equation of the locus of points z where arg(z - z_1) = k | drfrost.org/explorer.php?ssid=6903 | ||
| 673h | A Level | Identify a region that combines constraints given in the form \left|z - z_1\right| = r and a < \textrm{arg}(z - z_1) < b | drfrost.org/explorer.php?ssid=6904 | ||
| 673i | A Level | Determine the maximum or minimum value for \textrm{arg}(z) given that \left|z - z_1\right| = r | drfrost.org/explorer.php?ssid=6905 | ||
| 673j | A Level | Determine the maximum or minimum value for \left|z\right| given that \left|z - z_1\right| = r | drfrost.org/explorer.php?ssid=6906 | ||
| 674 | A Level | Exam Practice: Formulae for sums of integers, squares and cubes | drfrost.org/explorer.php?ssid=191 | E674 | |
| 674a | A Level | Determine \Sigma_{r=1}^n k for a given value of n | drfrost.org/explorer.php?ssid=6907 | ||
| 674b | A Level | Determine \Sigma_{r=1}^n r for a given value of n | drfrost.org/explorer.php?ssid=6908 | ||
| 674c | A Level | Determine \Sigma_{r=k}^n r for a given value of k and n | drfrost.org/explorer.php?ssid=6909 | ||
| 674d | A Level | Determine \Sigma_{r=1}^n r^2 for a given value of n | drfrost.org/explorer.php?ssid=6910 | ||
| 674e | A Level | Determine \Sigma_{r=1}^n kr or \Sigma_{r=1}^n kr^2 for a given value of n | drfrost.org/explorer.php?ssid=6911 | ||
| 674f | A Level | Determine the expression for a summation involving a mixture of quadratic, linear and constant terms. | drfrost.org/explorer.php?ssid=6912 | ||
| 674g | A Level | Determine the expression for a summation involving a mixture of terms up to cubic. | drfrost.org/explorer.php?ssid=6913 | ||
| 674h | A Level | Determine the expression for a summation involving an expansion to a quadratic. | drfrost.org/explorer.php?ssid=6914 | ||
| 674i | A Level | Determine the expression for a summation involving an expansion to a cubic. | drfrost.org/explorer.php?ssid=6915 | ||
| 674j | A Level | Use a result for the summation of 1 to n to calculate a sum from a to b | drfrost.org/explorer.php?ssid=6916 | ||
| 674k | A Level | Use a result for the summation of 1 to n to determine an expression for the summation of 1 to kn | drfrost.org/explorer.php?ssid=6917 | ||
| 674l | A Level | Use a result for the summation of 1 to n to determine an expression for the summation of f(n) to g(n) | drfrost.org/explorer.php?ssid=6918 | ||
| 674m | A Level | Determine a sum of the square or cubes of consecutive odd or even numbers. | drfrost.org/explorer.php?ssid=6919 | ||
| 674n | A Level | Determine a summation involving a trigonometric function. | drfrost.org/explorer.php?ssid=6920 | ||
| 675 | A Level | Exam Practice: Relationship between roots and coefficients of polynomial equations, up to quartics | drfrost.org/explorer.php?ssid=189 | E675 | |
| 675a | A Level | Determine the sum or product of roots of a quadratic equation. | drfrost.org/explorer.php?ssid=6921 | ||
| 675b | A Level | Determine the sum of reciprocals of roots of a quadratic equation. | drfrost.org/explorer.php?ssid=6922 | ||
| 675c | A Level | Given the roots of a quadratic equation, determine integer values for its coefficients. | drfrost.org/explorer.php?ssid=6923 | ||
| 675d | A Level | Determine the sum or roots, sum or root products or product of all roots of a cubic equation. | drfrost.org/explorer.php?ssid=6924 | ||
| 675e | A Level | Determine, using formulae, the coefficients of a cubic equation given its roots, where two are complex. | drfrost.org/explorer.php?ssid=6925 | ||
| 675f | A Level | Determine a link between unknown roots of a quartic given the other roots and some of the coefficients. | drfrost.org/explorer.php?ssid=6926 | ||
| 675g | A Level | Determine the sum of reciprocals of roots of a cubic equation. | drfrost.org/explorer.php?ssid=6927 | ||
| 675h | A Level | Determine the value of an expression (\alpha + k)(\beta + k)(\gamma + k) for some constant k | drfrost.org/explorer.php?ssid=6928 | ||
| 675i | A Level | Determine the sum of squares of roots \alpha^2 + \beta^2 + \gamma^2 of a cubic equation by use of an appropriate identity. | drfrost.org/explorer.php?ssid=6929 | ||
| 675j | A Level | Determine the sum of cubes of roots \alpha^3 + \beta^3 + \gamma^3 by use of an appropriate identity. | drfrost.org/explorer.php?ssid=6930 | ||
| 675k | A Level | Determine the sum \alpha^4 + \beta^4 by use of an appropriate identity. | drfrost.org/explorer.php?ssid=6931 | ||
| 675l | A Level | Use identities for (\alpha \pm \beta)^2 to determine values for expressions involving roots of a polynomial \alpha and \beta | drfrost.org/explorer.php?ssid=6932 | ||
| 675m | A Level | Determine roots of a cubic with some unknown coefficients, where expressions for the roots are given in terms of a single constant. | drfrost.org/explorer.php?ssid=6933 | ||
| 675n | A Level | Determine two unknown coefficients of a cubic equation given one real root and an area formed by all the roots on an Argand diagram. | drfrost.org/explorer.php?ssid=6934 | ||
| 676 | A Level | Exam Practice: Polynomial equations whose roots are a linear transformation of the roots of a given polynomial equation | drfrost.org/explorer.php?ssid=190 | E676 | |
| 676a | A Level | Determine a quadratic equation whose roots are a linear transformation k\alpha + c of the original roots. | drfrost.org/explorer.php?ssid=6935 | ||
| 676b | A Level | Determine a cubic or quartic equation whose roots are a linear transformation k\alpha + c of the original roots. | drfrost.org/explorer.php?ssid=6936 | ||
| 676c | A Level | Determine a quadratic equation whose roots are the reciprocals of the roots of another quadratic equation. | drfrost.org/explorer.php?ssid=6937 | ||
| 676d | A Level | Determine a cubic equation whose roots are the reciprocals of the roots of another cubic equation. | drfrost.org/explorer.php?ssid=6938 | ||
| 676e | A Level | Determine a quadratic equation whose roots are the squares of the roots of another quadratic equation. | drfrost.org/explorer.php?ssid=6939 | ||
| 676f | A Level | Determine a quadratic equation whose new roots are a mixture of \alpha and \beta | drfrost.org/explorer.php?ssid=6940 | ||
| 677 | A Level | Exam Practice: Volumes of revolution (powers of x only) | drfrost.org/explorer.php?ssid=236 | E677 | |
| 677a | A Level | Calculate the volume of revolution for a curve revolved around the x-axis (with powers of x only). | drfrost.org/explorer.php?ssid=6941 | ||
| 677b | A Level | Calculate the volume of revolution for a part of the circle or ellipse revolved around the x-axis. | drfrost.org/explorer.php?ssid=6942 | ||
| 677c | A Level | Determine a constant in the equation of a curve or a bound given the volume of the revolved area around the x-axis (with powers of x only). | drfrost.org/explorer.php?ssid=6943 | ||
| 677d | A Level | Determine the volume of revolution for a region revolved around the x-axis, involving addition of volumes. | drfrost.org/explorer.php?ssid=6944 | ||
| 677e | A Level | Determine the volume of revolution for a region revolved around the x-axis, involving subtraction of volumes. | drfrost.org/explorer.php?ssid=6945 | ||
| 677f | A Level | Determine the angle of revolution a region is rotated given the volume and a function with powers of x only. | drfrost.org/explorer.php?ssid=6946 | ||
| 677g | A Level | Determine the volume of revolution for a polynomial curve, revolved around the y-axis. | drfrost.org/explorer.php?ssid=6947 | ||
| 677h | A Level | Determine a volume of revolution of a curve in a modelled context. | drfrost.org/explorer.php?ssid=6948 | ||
| 678 | A Level | Exam Practice: Volumes of revolution (for non-polynomials, excluding hyperbolics) | drfrost.org/explorer.php?ssid=4406 | E678 | |
| 678a | A Level | Determine the volume of revolution around the x-axis of an exponential curve. | drfrost.org/explorer.php?ssid=6949 | ||
| 678b | A Level | Calculate the volume of revolution around the x-axis of a trigonometric function. | drfrost.org/explorer.php?ssid=6950 | ||
| 678c | A Level | Calculate the volume of revolution around the x-axis of a function given in the form \frac{a}{\sqrt{bx+c}} or \frac{a}{(bx+c)^n} | drfrost.org/explorer.php?ssid=6951 | ||
| 678d | A Level | Calculate the volume of revolution around the x-axis of a function given in the form \sqrt{\frac{f'(x)}{f(x)}} | drfrost.org/explorer.php?ssid=6952 | ||
| 678e | A Level | Calculate the volume of revolution around the x-axis that requires splitting into partial fractions. | drfrost.org/explorer.php?ssid=6953 | ||
| 678f | A Level | Calculate a volume of revolution involving addition of volumes and non-polynomial terms. | drfrost.org/explorer.php?ssid=6954 | ||
| 678g | A Level | Calculate a volume of revolution involving subtraction of volumes and non-polynomial terms. | drfrost.org/explorer.php?ssid=6955 | ||
| 678h | A Level | Determine the volume of revolution around the x-axis for the intersection of two non-polynomial curves. | drfrost.org/explorer.php?ssid=6956 | ||
| 678i | A Level | Determine the volume of revolution formed by a region between a non-polynomial curve and a normal to the curve. | drfrost.org/explorer.php?ssid=6957 | ||
| 678j | A Level | Calculate the volume of revolution involving parametric equations. | drfrost.org/explorer.php?ssid=6958 | ||
| 678k | A Level | Determine the volume of revolution formed by a region between a non-polynomial curve, defined parametrically, and a normal to the curve. | drfrost.org/explorer.php?ssid=6959 | ||
| 678l | A Level | Calculate the volume of revolution around the y-axis involving non-polynomial terms. | drfrost.org/explorer.php?ssid=6960 | ||
| 678m | A Level | Determine a volume of revolution in a modelled context. | drfrost.org/explorer.php?ssid=6961 | ||
| 678n | A Level | Solve a rate of flow problem involving the filling of a volume of revolution. | drfrost.org/explorer.php?ssid=6962 | ||
| 679 | A Level | Exam Practice: Adding and subtracting matrices and scalar multiplication | drfrost.org/explorer.php?ssid=4407 | E679 | |
| 679a | A Level | Add or subtract two matrices. | drfrost.org/explorer.php?ssid=1779 | ||
| 679b | A Level | Calculate a scalar multiple of a matrix. | drfrost.org/explorer.php?ssid=1780 | ||
| 679c | A Level | Substitute the values of matrices into a simple algebraic expression involving addition, subtraction and scalar multiplication. | drfrost.org/explorer.php?ssid=1781 | ||
| 680 | A Level | Exam Practice: Multiplying matrices up to 2 by 2 in size | drfrost.org/explorer.php?ssid=441 | E680 | |
| 680a | A Level | Determine the direct product of a 2\times2 and 2\times1 matrix. | drfrost.org/explorer.php?ssid=6963 | ||
| 680b | A Level | Determine the direct product of a 2\times2 and 2\times2 matrix. | drfrost.org/explorer.php?ssid=6964 | ||
| 680c | A Level | Substitute matrices into a simple matrix algebraic expression involving a single product (up to 2\times2). | drfrost.org/explorer.php?ssid=6965 | ||
| 680d | A Level | Determine whether two matrices can be multiplied together (are comformable). | drfrost.org/explorer.php?ssid=1782 | ||
| 680e | A Level | Determine the direct product of matrices with size 2\times2 and 3\times2 or 2\times3 | drfrost.org/explorer.php?ssid=1512 | K976 | |
| 680f | A Level | Determine the direct product of matrices with size 3\times3 and 3\times2 or 2\times3 | drfrost.org/explorer.php?ssid=6966 | ||
| 680g | A Level | Determine the direct product of a 3\times3 and 3\times3 matrix. | drfrost.org/explorer.php?ssid=6967 | ||
| 680h | A Level | Understand the zero matrix/null matrix, infer its size when used in a matrix expression, and simplify a matrix expression using it. | drfrost.org/explorer.php?ssid=6968 | ||
| 680i | A Level | Understand that matrix multiplication is associative but not commutative. | drfrost.org/explorer.php?ssid=6969 | ||
| 680j | A Level | Determine the product of a 2\times2 and 2\times2 matrix involving algebraic elements. | drfrost.org/explorer.php?ssid=1783 | ||
| 680k | A Level | Square a matrix. | drfrost.org/explorer.php?ssid=6970 | ||
| 680l | A Level | Cube a matrix. | drfrost.org/explorer.php?ssid=6971 | ||
| 680m | A Level | Substitute the values of matrices into an algebraic expression involving addition, subtraction, multiplication and scalar multiplication. | drfrost.org/explorer.php?ssid=6972 | ||
| 680n | A Level | Determine an unknown value in a matrix given its product with another matrix. | drfrost.org/explorer.php?ssid=6973 | ||
| 680o | A Level | Determine two unknown values in a matrix multiplication. | drfrost.org/explorer.php?ssid=6974 | ||
| 680p | A Level | Solve a matrix equation given in the form k\textbf{X} = \textbf{B}\textbf{C} | drfrost.org/explorer.php?ssid=6975 | ||
| 680q | A Level | Determine unknown values in a matrix multiplication where commutativity is achieved. | drfrost.org/explorer.php?ssid=6976 | ||
| 680r | A Level | Solve problems where the product of two matrices is the identity matrix \textbf{I} | drfrost.org/explorer.php?ssid=6977 | ||
| 680s | A Level | Find constants such that \textbf{A}^2 can be written in the form a\textbf{A} + b\textbf{I} | drfrost.org/explorer.php?ssid=6978 | ||
| 681 | A Level | Exam Practice: Transpose of a matrix | drfrost.org/explorer.php?ssid=4408 | E681 | |
| 681a | A Level | Determine the transpose of a matrix. | drfrost.org/explorer.php?ssid=6979 | ||
| 682 | A Level | Exam Practice: Calculating determinants of 2\times2 matrices | drfrost.org/explorer.php?ssid=175 | E682 | |
| 682a | A Level | Calculate the determinant of a 2\times2 matrix with numeric terms. | drfrost.org/explorer.php?ssid=1794 | ||
| 682b | A Level | Calculate the determinant of a 2\times2 matrix containing algebraic elements. | drfrost.org/explorer.php?ssid=6980 | ||
| 682c | A Level | Determine a constant in a 2\times2 matrix given its determinant. | drfrost.org/explorer.php?ssid=6981 | ||
| 682d | A Level | Determine whether a 2\times2 matrix has an inverse. | drfrost.org/explorer.php?ssid=6982 | ||
| 682e | A Level | Determine a constant for which a 2\times2 matrix is singular. | drfrost.org/explorer.php?ssid=1800 | ||
| 682f | A Level | Determine the values for a constant for which a 2\times2 matrix is singular (resulting in a quadratic). | drfrost.org/explorer.php?ssid=6983 | ||
| 682g | A Level | Use the property \det(AB) = \det(A)\det(B) to solve matrix problems. | drfrost.org/explorer.php?ssid=8454 | ||
| 683 | A Level | Exam Practice: Calculating determinants of 3\times3 matrices | drfrost.org/explorer.php?ssid=4409 | E683 | |
| 683a | A Level | Calculate the determinant of a 3\times3 matrix with numeric terms. | drfrost.org/explorer.php?ssid=1814 | ||
| 683b | A Level | Calculate the determinant of a 3\times3 matrix containing algebraic terms. | drfrost.org/explorer.php?ssid=6984 | ||
| 683c | A Level | Determine a constant in a 3\times3 matrix given its determinant. | drfrost.org/explorer.php?ssid=6985 | ||
| 683d | A Level | Determine whether a 3\times3 matrix has an inverse. | drfrost.org/explorer.php?ssid=6986 | ||
| 683e | A Level | Determine a constant for which a 3\times3 matrix is singular. | drfrost.org/explorer.php?ssid=1819 | ||
| 683f | A Level | Determine the values for a constant for which a 3\times3 matrix is singular (resulting in a quadratic). | drfrost.org/explorer.php?ssid=6987 | ||
| 683g | A Level | Factorise the determinant of a 3\times3 matrix using row and column operations. | drfrost.org/explorer.php?ssid=6988 | ||
| 684 | A Level | Exam Practice: Inverse of a 2\times2 matrix | drfrost.org/explorer.php?ssid=176 | E684 | |
| 684a | A Level | Calculate the inverse of a 2\times2 matrix with numeric terms. | drfrost.org/explorer.php?ssid=1798 | ||
| 684b | A Level | Calculate the inverse of a 2\times2 containing algebraic terms. | drfrost.org/explorer.php?ssid=6989 | ||
| 684c | A Level | Solve a matrix equation given in the form \textbf{A}\textbf{X} = \textbf{B} | drfrost.org/explorer.php?ssid=1768 | ||
| 684d | A Level | Solve a matrix equation given in the form \textbf{A}\textbf{X} = \textbf{B}\textbf{C} or \textbf{A}\textbf{X} = \textbf{B} - \textbf{C} | drfrost.org/explorer.php?ssid=6990 | ||
| 684e | A Level | Use a self-inverse property of a matrix to determine unknown values. | drfrost.org/explorer.php?ssid=1793 | ||
| 684f | A Level | Determine the product of a matrix inverse and a matrix transpose. | drfrost.org/explorer.php?ssid=6991 | ||
| 684g | A Level | Calculate \textbf{A}^{-1} \textbf{B}^{-1} without finding the inverse of either \textbf{A} or \textbf{B} | drfrost.org/explorer.php?ssid=6992 | ||
| 685 | A Level | Exam Practice: Inverse of a 3\times3 matrix | drfrost.org/explorer.php?ssid=4410 | E685 | |
| 685a | A Level | Calculate a minor of an element in a 3\times3 matrix. | drfrost.org/explorer.php?ssid=1816 | ||
| 685b | A Level | Calculate a cofactor of an element in a 3\times3 matrix. | drfrost.org/explorer.php?ssid=1818 | ||
| 685c | A Level | Determine the inverse of a 3\times3 matrix with numeric terms only. | drfrost.org/explorer.php?ssid=6993 | ||
| 685d | A Level | Determine the inverse of a 3\times3 matrix containing algebraic terms. | drfrost.org/explorer.php?ssid=6994 | ||
| 685e | A Level | Determine values for which a 3\times3 matrix is singular involving trigonometric elements. | drfrost.org/explorer.php?ssid=6995 | ||
| 685f | A Level | Solve an matrix equation involving \textbf{I}, requiring a matrix inverse. | drfrost.org/explorer.php?ssid=6996 | ||
| 686 | A Level | Exam Practice: Algebraic identities involving matrices | drfrost.org/explorer.php?ssid=4411 | E686 | |
| 686a | A Level | Prove a matrix identity involving an inverse matrix. | drfrost.org/explorer.php?ssid=6997 | ||
| 687 | A Level | Exam Practice: Solving simultaneous equations/systems of equations (up to 3 variables) by use of an inverse matrix | drfrost.org/explorer.php?ssid=177 | E687 | |
| 687a | A Level | Use a given matrix inverse to solve simultaneous equations/systems of equations in 3 variables. | drfrost.org/explorer.php?ssid=6998 | ||
| 687b | A Level | Use a matrix inverse to solve simultaneous equations/systems of equations with 3 variables involving an algebraic constant. | drfrost.org/explorer.php?ssid=6999 | ||
| 687c | A Level | Form and solve a set of simultaneous equations/systems of equations with 3 variables from a modelled context, by use of an inverse matrix. | drfrost.org/explorer.php?ssid=7000 | ||
| 688 | A Level | Exam Practice: Gaussian elimination / row reduction and general solutions to simultaneous equations/systems of equations | drfrost.org/explorer.php?ssid=440 | E688 | |
| 688a | A Level | Solve 3 simultaneous equations/systems of equations using Gaussian elimination / reducing to row echelon form, where there is a unique solution set. | drfrost.org/explorer.php?ssid=7001 | ||
| 688b | A Level | Determine if a matrix is in row echelon form and row reduced echelon form. | drfrost.org/explorer.php?ssid=7002 | ||
| 688c | A Level | Solve 3 simultaneous equations/systems of equations using Gaussian elimination / reducing to row echelon form, where there is redundancy, expressing the general solution as equations in terms of the n | drfrost.org/explorer.php?ssid=7003 | ||
| 688d | A Level | Solve 3 simultaneous equations/systems of equations using Gaussian elimination / reducing to row echelon form, where there is redundancy, expressing the general solution in vector form. | drfrost.org/explorer.php?ssid=7004 | ||
| 688e | A Level | Use Gaussian elimination to determine a coefficient in simultaneous equations/systems of equations that leads to redundancy. | drfrost.org/explorer.php?ssid=7005 | ||
| 688f | A Level | Use Gaussian elimination to determine a coefficient in simultaneous equations/systems of equations that leads to inconsistency. | drfrost.org/explorer.php?ssid=7006 | ||
| 689 | A Level | Exam Practice: Cramer's rule | drfrost.org/explorer.php?ssid=4412 | E689 | |
| 689a | A Level | Use Cramer's rule to solve simultaneous equations involving two variables. | drfrost.org/explorer.php?ssid=7007 | ||
| 689b | A Level | Use Cramer's rule to solve simultaneous equations involving three variables. | drfrost.org/explorer.php?ssid=7008 | ||
| 690 | A Level | Exam Practice: Geometrically interpreting the solution and failure of the solution to three simultaneous linear equations | drfrost.org/explorer.php?ssid=178 | E690 | |
| 690a | A Level | Understand the geometric significance of the matrix corresponding to linear simultaneous equations/systems of equations being non-singular. | drfrost.org/explorer.php?ssid=7009 | ||
| 690b | A Level | Determine the value of a constant in linear simultaneous equations/systems of equations that leads to no unique solution. | drfrost.org/explorer.php?ssid=7010 | ||
| 690c | A Level | For linear simultaneous equations/systems of equations corresponding to a singular matrix, determine whether the equations are consistent. | drfrost.org/explorer.php?ssid=7011 | ||
| 690d | A Level | For linear simultaneous equations/systems of equations corresponding to a singular matrix, determine the geometric configuration of the planes they represent. | drfrost.org/explorer.php?ssid=7012 | ||
| 691 | A Level | Exam Practice: Using matrices to represent an arbitrary linear transformation | drfrost.org/explorer.php?ssid=444 | E691 | |
| 691a | A Level | Determine the matrix needed to transform from a point (x,y) to a point in terms of x and y. | drfrost.org/explorer.php?ssid=7013 | ||
| 691b | A Level | Determine the image of a single point transformed by a matrix. | drfrost.org/explorer.php?ssid=7014 | ||
| 691c | A Level | Determine unknown values in a matrix that results in a transformation from one point to another. | drfrost.org/explorer.php?ssid=7015 | ||
| 691d | A Level | Transform a unit square using a matrix. | drfrost.org/explorer.php?ssid=7016 | ||
| 692 | A Level | Exam Practice: Using matrices to represent reflections, enlargements/dilations and rotations by multiples of 90^\circ | drfrost.org/explorer.php?ssid=442 | E692 | |
| 692a | A Level | Write a matrix representing a reflection in the x or y axes. | drfrost.org/explorer.php?ssid=7017 | ||
| 692b | A Level | Write a matrix representing a reflection in the lines y = x or y = -x | drfrost.org/explorer.php?ssid=7018 | ||
| 692c | A Level | Write a matrix representing an enlargement/dilation about the origin. | drfrost.org/explorer.php?ssid=7019 | ||
| 692d | A Level | Describe the effect of a matrix representing an enlargement/dilation. | drfrost.org/explorer.php?ssid=7020 | ||
| 692e | A Level | Describe the effect of a matrix representing a rotation (by a multiple of 90^\circ) or reflection. | drfrost.org/explorer.php?ssid=7021 | ||
| 692f | A Level | Write a matrix that represents a drawn transformation of a unit square. | drfrost.org/explorer.php?ssid=7022 | ||
| 692g | A Level | Write a matrix representing a shear transformation parallel to a coordinate axis. | drfrost.org/explorer.php?ssid=8455 | ||
| 693 | A Level | Exam Practice: Using matrices to represent 2D rotations by any angle | drfrost.org/explorer.php?ssid=173 | E693 | |
| 693a | A Level | Write a matrix that represents a rotation by an arbitrary angle. | drfrost.org/explorer.php?ssid=7023 | ||
| 693b | A Level | Describe a rotation represented by a matrix with arbitrary angle. | drfrost.org/explorer.php?ssid=7024 | ||
| 694 | A Level | Exam Practice: Using matrices to represent a reflection in the line y = (\tan \theta)x or a projection onto it | drfrost.org/explorer.php?ssid=4413 | E694 | |
| 694a | A Level | Write a matrix that represents a reflection in the line y = (\tan \theta)x. | drfrost.org/explorer.php?ssid=7025 | ||
| 694b | A Level | Identify the equation of the line of reflection represented by a matrix. | drfrost.org/explorer.php?ssid=7026 | ||
| 694c | A Level | Write a matrix that represents a projection onto the line y = (\tan \theta)x. | drfrost.org/explorer.php?ssid=7027 | ||
| 695 | A Level | Exam Practice: Using the inverse of a matrix to represent undoing a transformation | drfrost.org/explorer.php?ssid=4414 | E695 | |
| 695a | A Level | Describe the effect of an inverse matrix representing a transformation. | drfrost.org/explorer.php?ssid=7028 | ||
| 695b | A Level | Determine the coordinate of an original point given its image and the matrix representing its transformation. | drfrost.org/explorer.php?ssid=7029 | ||
| 696 | A Level | Exam Practice: Using matrices to represent 3D transformations | drfrost.org/explorer.php?ssid=4415 | E696 | |
| 696a | A Level | Write the matrix representing a 3D rotation about the x, y or z axes. | drfrost.org/explorer.php?ssid=7030 | ||
| 696b | A Level | Write the 3\times3 matrix representation a reflection in the plane x=0, y=0 or z=0 | drfrost.org/explorer.php?ssid=7031 | ||
| 697 | A Level | Exam Practice: Matrix representations of combined transformations | drfrost.org/explorer.php?ssid=4416 | E697 | |
| 697a | A Level | Calculate the matrix that represents a sequence of two transformations with given matrices. | drfrost.org/explorer.php?ssid=7032 | ||
| 697b | A Level | Describe the combined transformation represented by a sequence of two given matrices. | drfrost.org/explorer.php?ssid=7033 | ||
| 697c | A Level | Determine a matrix representing repeated applications of the same transformation. | drfrost.org/explorer.php?ssid=7034 | ||
| 697d | A Level | Determine a matrix that represents a sequence of two rotations/enlargements/dilations/reflections where the matrices are not given (any rotations by multiples of 90^\circ only). | drfrost.org/explorer.php?ssid=7035 | ||
| 697e | A Level | Determine a matrix that represents a sequence of two rotations/enlargements/dilations/reflections where the matrices are not given (any arbitrary rotation). | drfrost.org/explorer.php?ssid=7036 | ||
| 697f | A Level | Determine the original point before being transformed by two given matrices. | drfrost.org/explorer.php?ssid=7037 | ||
| 698 | A Level | Exam Practice: Geometrically interpreting the determinant of a 2\times2 matrix | drfrost.org/explorer.php?ssid=4417 | E698 | |
| 698a | A Level | Determine the area of the image or object of a transformation given an area and the matrix. | drfrost.org/explorer.php?ssid=7038 | ||
| 698b | A Level | Problem solve with unknown coordinates using given areas and the matrix representing the transformation. | drfrost.org/explorer.php?ssid=7039 | ||
| 699 | A Level | Exam Practice: Geometrically interpreting the determinant of a 3\times3 matrix | drfrost.org/explorer.php?ssid=4418 | E699 | |
| 699a | A Level | Determine the volume of an image given the volume of the object and transformation matrix. | drfrost.org/explorer.php?ssid=7040 | ||
| 699b | A Level | Determine the volume of a cube transformed by a matrix. | drfrost.org/explorer.php?ssid=7041 | ||
| 699c | A Level | Determine the determinant of the inverse of a matrix without calculating the inverse matrix. | drfrost.org/explorer.php?ssid=7042 | ||
| 700 | A Level | Exam Practice: Invariant points and lines for a linear transformation | drfrost.org/explorer.php?ssid=174 | E700 | |
| 700a | A Level | Determine an invariant point of a matrix where one of the x or y coordinate is given. | drfrost.org/explorer.php?ssid=7043 | ||
| 700b | A Level | Determine the equation of a line of invariant points for a matrix. | drfrost.org/explorer.php?ssid=7044 | ||
| 700c | A Level | Show that an equation is an invariant line for a matrix transformation. | drfrost.org/explorer.php?ssid=7045 | ||
| 700d | A Level | Determine the equation of any invariant lines for a given matrix. | drfrost.org/explorer.php?ssid=7046 | ||
| 700e | A Level | Prove that for a given matrix, there is no invariant line. | drfrost.org/explorer.php?ssid=7047 | ||
| 701 | A Level | Exam Practice: Homogeneous coordinates and affine transformations | drfrost.org/explorer.php?ssid=4419 | E701 | |
| 701a | A Level | Convert a homogeneous coordinate in projective space to a Cartesian coordinate. | drfrost.org/explorer.php?ssid=7048 | ||
| 701b | A Level | Represent points at infinity using homogeneous coordinates. | drfrost.org/explorer.php?ssid=7049 | ||
| 701c | A Level | Prove that two parallel lines can intersect in projective space using homogeneous coordinates. | drfrost.org/explorer.php?ssid=7050 | ||
| 701d | A Level | Understand what is meant by an affine transformation. | drfrost.org/explorer.php?ssid=7051 | ||
| 701e | A Level | Determine the matrix representing a translation of 2D homogeneous coordinates. | drfrost.org/explorer.php?ssid=7052 | ||
| 701f | A Level | Determine the matrix representing a linear transformation of 2D homogeneous coordinates. | drfrost.org/explorer.php?ssid=7053 | ||
| 701g | A Level | Determine the matrix representing a combination of translation with a linear transformation. | drfrost.org/explorer.php?ssid=7054 | ||
| 701h | A Level | Solve problems involving inverse matrices and homogeneous coordinates. | drfrost.org/explorer.php?ssid=7055 | ||
| 701i | A Level | Determine invariant points or a line of invariant points involving homogeneous coordinates. | drfrost.org/explorer.php?ssid=7056 | ||
| 702 | A Level | Exam Practice: Proof by induction for summations, divisibility, powers of matrices and inequalities | drfrost.org/explorer.php?ssid=160 | E702 | |
| 702a | A Level | Prove a summation result of a quadratic expression by induction. | drfrost.org/explorer.php?ssid=7057 | ||
| 702b | A Level | Prove a summation result involving fractions by induction. | drfrost.org/explorer.php?ssid=7058 | ||
| 702c | A Level | Prove a summation result involving exponential terms by induction. | drfrost.org/explorer.php?ssid=8645 | ||
| 702d | A Level | Prove a summation result involving a factorial by induction. | drfrost.org/explorer.php?ssid=7059 | ||
| 702e | A Level | Prove the divisibility of an expression involving exponential terms where the coefficient of n is 1. | drfrost.org/explorer.php?ssid=7060 | ||
| 702f | A Level | Prove the divisibility of an expression involving exponential terms where the coefficient of n > 1 | drfrost.org/explorer.php?ssid=7061 | ||
| 702g | A Level | Prove a matrix power result by induction. | drfrost.org/explorer.php?ssid=7062 | ||
| 702h | A Level | Prove an inequality by induction. | drfrost.org/explorer.php?ssid=7063 | ||
| 702i | A Level | Prove the nth derivative of an expression by induction. | drfrost.org/explorer.php?ssid=7064 | ||
| 703 | A Level | Exam Practice: Strong induction | drfrost.org/explorer.php?ssid=4420 | E703 | |
| 703a | A Level | Use strong induction to prove the fundamental theorem of arithmetic. | drfrost.org/explorer.php?ssid=7065 | ||
| 703b | A Level | Use strong induction to prove a tree with n vertices has n-1 edges. | drfrost.org/explorer.php?ssid=7066 | ||
| 703c | A Level | Use strong induction to prove more general statements. | drfrost.org/explorer.php?ssid=7067 | ||
| 704 | A Level | Exam Practice: Vector form of a straight line in 2D and 3D | drfrost.org/explorer.php?ssid=271 | E704 | |
| 704a | A Level | Find a vector equation \textbf{r} given a point on the line and the direction of the line. | drfrost.org/explorer.php?ssid=7068 | ||
| 704b | A Level | Determine whether two lines with given vector equations are parallel. | drfrost.org/explorer.php?ssid=7069 | ||
| 704c | A Level | Find a vector equation \textbf{r} given two points on the line. | drfrost.org/explorer.php?ssid=1551 | K983 | |
| 704d | A Level | Determine whether a point lies on a line given its vector equation. | drfrost.org/explorer.php?ssid=1553 | K985 | |
| 704e | A Level | Determine unknown values in a coordinate given the vector equation of the line. | drfrost.org/explorer.php?ssid=7070 | ||
| 705 | A Level | Exam Practice: Cartesian (rectangular) form of an equation of a straight line in 2D and 3D | drfrost.org/explorer.php?ssid=272 | E705 | |
| 705a | A Level | Convert the equation of a straight line from vector form to Cartesian/rectangular form. | drfrost.org/explorer.php?ssid=1552 | K984 | |
| 705b | A Level | Convert the equation of a straight line from Cartesian/rectangular form to vector form. | drfrost.org/explorer.php?ssid=7071 | ||
| 706 | A Level | Exam Practice: Point of intersection of two straight lines | drfrost.org/explorer.php?ssid=273 | E706 | |
| 706a | A Level | Determine the point of intersection of two lines given their vector equations. | drfrost.org/explorer.php?ssid=7072 | ||
| 706b | A Level | Show that two lines with given vector equations do not intersect (i.e. are skew lines). | drfrost.org/explorer.php?ssid=7073 | ||
| 706c | A Level | Determine the point of intersection of two lines given their Cartesian equations. | drfrost.org/explorer.php?ssid=7074 | ||
| 706d | A Level | Show that two lines with given Cartesian equations do not intersect (i.e. are skew lines). | drfrost.org/explorer.php?ssid=7075 | ||
| 707 | A Level | Exam Practice: Vector equations of planes in the form \textbf{r} = \textbf{a} + \lambda\textbf{b} + \mu\textbf{c} | drfrost.org/explorer.php?ssid=274 | E707 | |
| 707a | A Level | Find an equation of a plane passing through 3 points. | drfrost.org/explorer.php?ssid=1554 | K986 | |
| 707b | A Level | Determine whether a point lies on a plane with given vector equation. | drfrost.org/explorer.php?ssid=7076 | ||
| 708 | A Level | Exam Practice: Dot/scalar product and angles between vectors | drfrost.org/explorer.php?ssid=275 | E708 | |
| 708a | A Level | Calculate the dot product of two vectors. | drfrost.org/explorer.php?ssid=1557 | K988 | |
| 708b | A Level | Calculate the angle between two vectors. | drfrost.org/explorer.php?ssid=1558 | K989 | |
| 708c | A Level | Determine the angle formed by the position vectors of 3 points. | drfrost.org/explorer.php?ssid=7077 | ||
| 708d | A Level | Determine the area of a triangle formed by the position vectors of 3 points. | drfrost.org/explorer.php?ssid=7078 | ||
| 708e | A Level | Show that two vectors are perpendicular. | drfrost.org/explorer.php?ssid=7079 | ||
| 708f | A Level | Determine the value of a constant given that two vectors are perpendicular. | drfrost.org/explorer.php?ssid=1559 | K990 | |
| 708g | A Level | Determine a vector perpendicular to two others (without using the cross product). | drfrost.org/explorer.php?ssid=7080 | ||
| 708h | A Level | Use the distributivity of dot products to solve problems. | drfrost.org/explorer.php?ssid=8420 | ||
| 709 | A Level | Exam Practice: Cartesian equation of a plane and \textbf{r} \cdot \textbf{n} = \textbf{a} \cdot \textbf{n} form | drfrost.org/explorer.php?ssid=4421 | E709 | |
| 709a | A Level | Determine the Cartesian equation of a plane given its normal vector and a point on the plane. | drfrost.org/explorer.php?ssid=1556 | K987 | |
| 709b | A Level | Determine the equation of a plane in the form \textbf{r}\cdot\textbf{n} = p given three points on the plane. | drfrost.org/explorer.php?ssid=7081 | ||
| 709c | A Level | Determine the equation of a plane in the form \textbf{r}\cdot\textbf{n} = p given its equation expressed in the form \textbf{r} = \textbf{a} + \lambda \textbf{b} + \mu \textbf{c} | drfrost.org/explorer.php?ssid=8427 | ||
| 709d | A Level | Convert between Cartesian/rectangular form and \textbf{r}\cdot\textbf{n} = p form of a plane. | drfrost.org/explorer.php?ssid=7082 | ||
| 709e | A Level | Prove the theorem of three perpendiculars. | drfrost.org/explorer.php?ssid=7083 | ||
| 710 | A Level | Exam Practice: Point of intersection of a line and a plane or a plane and plane | drfrost.org/explorer.php?ssid=276 | E710 | |
| 710a | A Level | Determine the point of intersection between a line in vector form and a plane in scalar product form. | drfrost.org/explorer.php?ssid=7084 | ||
| 710b | A Level | Determine the line of intersection between two planes. | drfrost.org/explorer.php?ssid=7085 | ||
| 711 | A Level | Exam Practice: Angles between a combination of lines and planes | drfrost.org/explorer.php?ssid=4422 | E711 | |
| 711a | A Level | Determine the angle between two lines with given vector equations. | drfrost.org/explorer.php?ssid=1561 | K992 | |
| 711b | A Level | Determine the angle between two lines with given Cartesian equations. | drfrost.org/explorer.php?ssid=7086 | ||
| 711c | A Level | Determine the angle between a line in vector form and a plane in scalar product form. | drfrost.org/explorer.php?ssid=7087 | ||
| 711d | A Level | Determine the angle between a line in vector form and a plane in vector form. | drfrost.org/explorer.php?ssid=7088 | ||
| 711e | A Level | Determine the angle between two planes in scalar product form. | drfrost.org/explorer.php?ssid=7089 | ||
| 712 | A Level | Exam Practice: Shortest distance between points or lines, and lines or planes | drfrost.org/explorer.php?ssid=277 | E712 | |
| 712a | A Level | Determine unknown values in a coordinate for a point that has a given distance from a line with a given vector equation. | drfrost.org/explorer.php?ssid=7090 | ||
| 712b | A Level | Determine the shortest distance between two parallel lines. | drfrost.org/explorer.php?ssid=7091 | ||
| 712c | A Level | Determine the shortest distance between two general lines. | drfrost.org/explorer.php?ssid=7092 | ||
| 712d | A Level | Determine the shortest distance between a point and a line given in vector form. | drfrost.org/explorer.php?ssid=7093 | ||
| 712e | A Level | Determine the shortest distance between a point and a line given in Cartesian/rectangular form. | drfrost.org/explorer.php?ssid=7094 | ||
| 712f | A Level | Determine the shortest distance from a plane to the origin. | drfrost.org/explorer.php?ssid=7095 | ||
| 712g | A Level | Determine the shortest distance from a point to a plane. | drfrost.org/explorer.php?ssid=7096 | ||
| 713 | A Level | Exam Practice: Reflection of points in planes | drfrost.org/explorer.php?ssid=4423 | E713 | |
| 713a | A Level | Determine the coordinate of a point reflected in a plane. | drfrost.org/explorer.php?ssid=7097 | ||
| 713b | A Level | Determine the vector equation of a line reflected in a plane. | drfrost.org/explorer.php?ssid=7098 | ||
| 714 | A Level | Exam Practice: Limits involving trigonometric functions | drfrost.org/explorer.php?ssid=4424 | E714 | |
| 714a | A Level | Determine limits of trigonometric functions for a given value (in radians) by substitution. | drfrost.org/explorer.php?ssid=7099 | ||
| 714b | A Level | Determine a limit of an indeterminate form \frac{0}{0} using a Pythagorean trigonometric identity. | drfrost.org/explorer.php?ssid=7100 | ||
| 714c | A Level | Determine a limit of an indeterminate form \frac{0}{0} using a trigonometric double angle formula. | drfrost.org/explorer.php?ssid=7101 | ||
| 715 | A Level | Exam Practice: Squeeze theorem | drfrost.org/explorer.php?ssid=4425 | E715 | |
| 715a | A Level | Determine whether two bounding functions are suitable to apply the squeeze theorem to a limit. | drfrost.org/explorer.php?ssid=7102 | ||
| 716 | A Level | Exam Practice: Discontinuity at points | drfrost.org/explorer.php?ssid=4426 | E716 | |
| 716a | A Level | Identity removable discontinuities in a function. | drfrost.org/explorer.php?ssid=7103 | ||
| 716b | A Level | Identify jump discontinuities in a function. | drfrost.org/explorer.php?ssid=7104 | ||
| 716c | A Level | Identify discontinuities due to an unbounded value. | drfrost.org/explorer.php?ssid=7105 | ||
| 716d | A Level | Use factorisation to assign a value to a function and remove a discontinuity. | drfrost.org/explorer.php?ssid=7106 | ||
| 716e | A Level | Rationalise a denominator to assign a value to a function and remove a discontinuity. | drfrost.org/explorer.php?ssid=7107 | ||
| 717 | A Level | Exam Practice: Continuity at points and intervals | drfrost.org/explorer.php?ssid=4427 | E717 | |
| 717a | A Level | Validate statements related to the continuity at a point using a graph. | drfrost.org/explorer.php?ssid=7108 | ||
| 717b | A Level | Determine whether a piecewise function, defined algebraically, is continuous at a point. | drfrost.org/explorer.php?ssid=7109 | ||
| 717c | A Level | Determine the intervals over which a function is continuous. | drfrost.org/explorer.php?ssid=7110 | ||
| 717d | A Level | Use the intermediate value theorem to determine intervals which include an output of the function. | drfrost.org/explorer.php?ssid=7111 | ||
| 718 | A Level | Exam Practice: Euler's formula e^{i\theta} = \cos(\theta) + i \sin(\theta) | drfrost.org/explorer.php?ssid=168 | E718 | |
| 718a | A Level | Convert a complex number from modulus-argument form to exponential form. | drfrost.org/explorer.php?ssid=7112 | ||
| 718b | A Level | Convert a complex number from Cartesian/rectangular form to exponential form. | drfrost.org/explorer.php?ssid=7113 | ||
| 718c | A Level | Convert an exponential term e^{i\theta} to modulus-argument form. | drfrost.org/explorer.php?ssid=7114 | ||
| 718d | A Level | Convert an exponential term e^{-i\theta} to \cos\theta - i\sin\theta form. | drfrost.org/explorer.php?ssid=7115 | ||
| 719 | A Level | Exam Practice: Powers of complex numbers using de Moivre's theorem | drfrost.org/explorer.php?ssid=167 | E719 | |
| 719a | A Level | Prove de Moivre's theorem by induction. | drfrost.org/explorer.php?ssid=7116 | ||
| 719b | A Level | Use de Moivre's theorem to find a power of complex numbers in modulus-argument form. | drfrost.org/explorer.php?ssid=7117 | ||
| 719c | A Level | Simplify an expression involving multiplication, division and powers of complex numbers in modulus-argument form, including cos\theta - isin\theta form. | drfrost.org/explorer.php?ssid=7118 | ||
| 719d | A Level | Use de Moivre's theorem to find a power of complex numbers in Cartesian/rectangular form. | drfrost.org/explorer.php?ssid=7119 | ||
| 720 | A Level | Exam Practice: Proving trigonometric identities using de Moivre's theorem | drfrost.org/explorer.php?ssid=4428 | E720 | |
| 720a | A Level | Write \sin kx or \cos kx as sum of powers of \sin or \cos | drfrost.org/explorer.php?ssid=7120 | ||
| 720b | A Level | Write a power of \sin x or \cos x as a sum of \sin(kx) or \cos(kx) terms. | drfrost.org/explorer.php?ssid=7121 | ||
| 720c | A Level | Integrate powers of trigonometric terms where cubed or of a higher power. | drfrost.org/explorer.php?ssid=7122 | ||
| 720d | A Level | Solve an equation given in the form \sin ax = b \sin cx | drfrost.org/explorer.php?ssid=7123 | ||
| 721 | A Level | Exam Practice: Sums of series using de Moivre's theorem | drfrost.org/explorer.php?ssid=4429 | E721 | |
| 721a | A Level | Write an expression in the form \frac{k}{e^{i\theta} - 1} in terms of trigonometric terms. | drfrost.org/explorer.php?ssid=7124 | ||
| 721b | A Level | Simplify the sum of a finite geometric series of complex terms. | drfrost.org/explorer.php?ssid=7125 | ||
| 721c | A Level | Simplify a finite series of \sin(k\theta) terms or \cos(k\theta) terms by use of de Moivre's theorem. | drfrost.org/explorer.php?ssid=7126 | ||
| 721d | A Level | Simplify a infinite series of \sin(k\theta) terms or \cos(k\theta) terms by use of de Moivre's theorem. | drfrost.org/explorer.php?ssid=7127 | ||
| 722 | A Level | Exam Practice: nth roots of unity and other complex numbers, and geometric problems | drfrost.org/explorer.php?ssid=169 | E722 | |
| 722a | A Level | Solve an equation given in the form z^n = a + bi, giving solutions in modulus-argument form. | drfrost.org/explorer.php?ssid=7128 | ||
| 722b | A Level | Solve an equation given in the form z^n = a + bi, giving solutions in Cartesian/rectangular form. | drfrost.org/explorer.php?ssid=7129 | ||
| 722c | A Level | Determine vertices of a regular polygon centred around the origin using complex numbers. | drfrost.org/explorer.php?ssid=7130 | ||
| 722d | A Level | Given one complex root of a polynomial and a geometric shape of the roots, determine the original equation. | drfrost.org/explorer.php?ssid=7131 | ||
| 722e | A Level | Prove that the sum of the nth roots of a complex number add to 0. | drfrost.org/explorer.php?ssid=8456 | ||
| 723 | A Level | Exam Practice: Method of differences for summation of series | drfrost.org/explorer.php?ssid=192 | E723 | |
| 723a | A Level | Simplify the sum of a subtraction of fractions where consecutive terms cancel. | drfrost.org/explorer.php?ssid=7132 | ||
| 723b | A Level | Simplify a sum of quadratic term by writing as the difference of cubes. | drfrost.org/explorer.php?ssid=7133 | ||
| 723c | A Level | Simplify the sum of a fractional expression by splitting into (two) partial fractions. | drfrost.org/explorer.php?ssid=7134 | ||
| 723d | A Level | Simplify the sum of a subtraction of fractions with more complex cancelling of terms. | drfrost.org/explorer.php?ssid=7135 | ||
| 723e | A Level | Simplify the sum of a fractional expression by splitting into (two) partial fractions, with more complex cancelling of terms. | drfrost.org/explorer.php?ssid=7136 | ||
| 723f | A Level | Simplify the sum of a fractional expression by splitting into three partial fractions. | drfrost.org/explorer.php?ssid=7137 | ||
| 723g | A Level | Simplify a more complex summation of terms that combines method of differences with a summation of constant, linear and quadratic terms. | drfrost.org/explorer.php?ssid=7138 | ||
| 723h | A Level | Use a result obtained from the method of differences to find a summation between two more arbitrary bounds. | drfrost.org/explorer.php?ssid=7139 | ||
| 724 | A Level | Exam Practice: Maclaurin series | drfrost.org/explorer.php?ssid=193 | E724 | |
| 724a | A Level | Determine f(0), f'(0), f''(0) and f'''(0) for a function. | drfrost.org/explorer.php?ssid=7140 | ||
| 724b | A Level | Derive Maclaurin expansions of standard functions. | drfrost.org/explorer.php?ssid=7141 | ||
| 724c | A Level | Derive the Maclaurin expansion of inverse trigonometric functions. | drfrost.org/explorer.php?ssid=7142 | ||
| 724d | A Level | Determine the Maclaurin expansion of an expression f(x)g(x) using standard results for f and g. | drfrost.org/explorer.php?ssid=7143 | ||
| 724e | A Level | Determine the Maclaurin expansion of an expression f(g(x)) for a standard expansion f. | drfrost.org/explorer.php?ssid=7144 | ||
| 724f | A Level | Determine the Maclaurin expansion of an expression f(g(x)) for a standard expansion g. | drfrost.org/explorer.php?ssid=7145 | ||
| 724g | A Level | Determine the Maclaurin expansion of an expression f(g(kx)) using standard expansions for both f and g. | drfrost.org/explorer.php?ssid=7146 | ||
| 724h | A Level | Determine the Maclaurin expansion of \ln(f(x)) by using laws of logs. | drfrost.org/explorer.php?ssid=7147 | ||
| 724i | A Level | State the valid domain for a Maclaurin expansion. | drfrost.org/explorer.php?ssid=7148 | ||
| 724j | A Level | Use terms of a Maclaurin expansion to get an expression of a value. | drfrost.org/explorer.php?ssid=7149 | ||
| 724k | A Level | Determine the Maclaurin expansion using implicit differentiation. | drfrost.org/explorer.php?ssid=8663 | ||
| 725 | A Level | Exam Practice: Approximations for \pi | drfrost.org/explorer.php?ssid=4430 | E725 | |
| 725a | A Level | Recognise that \pi is irrational and know fractional approximations of \pi. | drfrost.org/explorer.php?ssid=7150 | ||
| 725b | A Level | Use a Maclaurin expansion of 4\arctan(1) (Madhava-Leibniz series) to generate progressively better approximations of \pi. | drfrost.org/explorer.php?ssid=7151 | ||
| 725c | A Level | Use a Maclaurin expansion of 6\arctan(\frac{1}{\sqrt{3}}) (Madhava-Leibniz series) to generate progressively better approximations of \pi. | drfrost.org/explorer.php?ssid=7152 | ||
| 725d | A Level | Derive and use Viète's formula to generate progressively better approximations of \pi. | drfrost.org/explorer.php?ssid=7153 | ||
| 725e | A Level | Use the Wallis product to generate progressively better approximations of \pi. | drfrost.org/explorer.php?ssid=7154 | ||
| 725f | A Level | Determine a bound for \pi by comparing the perimeters of a circle, an inscribed regular polygon and a circumscribing regular polygon (Archimedes' method). | drfrost.org/explorer.php?ssid=7155 | ||
| 726 | A Level | Exam Practice: Improper integrals where one of the limits extends to infinity | drfrost.org/explorer.php?ssid=237 | E726 | |
| 726a | A Level | Determine an improper integral where one of the bounds is infinity. | drfrost.org/explorer.php?ssid=7156 | ||
| 726b | A Level | Determine an improper integral for a finite range that extends over a discontinuity. | drfrost.org/explorer.php?ssid=7157 | ||
| 726c | A Level | Determine an improper integral from negative infinity to positive infinity. | drfrost.org/explorer.php?ssid=7158 | ||
| 726d | A Level | Determine an improper integral that requires splitting into partial fractions. | drfrost.org/explorer.php?ssid=7159 | ||
| 727 | A Level | Exam Practice: Integrating functions given in the form \frac{1}{a^2 - x^2} and \frac{1}{a^2 + x^2} | drfrost.org/explorer.php?ssid=240 | E727 | |
| 727a | A Level | Integrate functions given in the form \frac{1}{a^2 + x^2} | drfrost.org/explorer.php?ssid=1481 | K953 | |
| 727b | A Level | Integrate functions given in the form \frac{1}{a^2 - x^2} and \frac{1}{\sqrt{a^2 - x^2}} | drfrost.org/explorer.php?ssid=7160 | ||
| 727c | A Level | Integrate functions given in the form \frac{1}{a^2 - b^2 x^2} and \frac{1}{\sqrt{a^2 - b^2 x^2}} | drfrost.org/explorer.php?ssid=1482 | K954 | |
| 727d | A Level | Integrate functions given in the form \frac{1}{a^2 - b^2 x^2} and \frac{1}{\sqrt{a^2 - b^2 x^2}} that first requires splitting a fraction. | drfrost.org/explorer.php?ssid=7161 | ||
| 727e | A Level | Integrate functions given in the form \frac{1}{a^2 - x^2} | drfrost.org/explorer.php?ssid=7162 | ||
| 727f | A Level | Integrate functions requiring a split into partial fractions with subsequent inverse trigonometric results. | drfrost.org/explorer.php?ssid=7163 | ||
| 727g | A Level | Integration functions using a substitution with subsequent inverse trigonometric results. | drfrost.org/explorer.php?ssid=7164 | ||
| 728 | A Level | Exam Practice: Mean value of a function | drfrost.org/explorer.php?ssid=238 | E728 | |
| 728a | A Level | Determine the mean value of a function involving simple polynomials or expressions given in the form (ax + b)^n | drfrost.org/explorer.php?ssid=7165 | ||
| 728b | A Level | Determine the mean value of more general functions. | drfrost.org/explorer.php?ssid=7166 | ||
| 728c | A Level | Determine the mean value of a function requiring integration by substitution. | drfrost.org/explorer.php?ssid=7167 | ||
| 728d | A Level | Determine the mean value of a function involving functions given in the form \frac{1}{a^2 - x^2} and \frac{1}{a^2 + x^2} | drfrost.org/explorer.php?ssid=7168 | ||
| 729 | A Level | Exam Practice: Conversion between polar and Cartesian coordinates | drfrost.org/explorer.php?ssid=247 | E729 | |
| 729a | A Level | Convert from Cartesian coordinates to polar coordinates. | drfrost.org/explorer.php?ssid=1489 | K959 | |
| 729b | A Level | Convert from polar coordinates to Cartesian coordinates. | drfrost.org/explorer.php?ssid=7169 | ||
| 729c | A Level | Convert an equation of a curve from polar form to Cartesian/rectangular form. | drfrost.org/explorer.php?ssid=7170 | ||
| 729d | A Level | Convert an equation of a curve from Cartesian/rectangular form to polar form. | drfrost.org/explorer.php?ssid=7171 | ||
| 729e | A Level | Convert a straight line equation of a curve from Cartesian/rectangular form to polar form and simplify to a single trigonometric function. | drfrost.org/explorer.php?ssid=7172 | ||
| 730 | A Level | Exam Practice: Sketching polar curves with r given as a function of \theta | drfrost.org/explorer.php?ssid=248 | E730 | |
| 730a | A Level | Recognise common polar graphs including r = a, \theta = \alpha, r = 2a \cos \theta and r = k\theta | drfrost.org/explorer.php?ssid=7173 | ||
| 730b | A Level | Sketch a cardioid r = a(1 + \cos\theta) | drfrost.org/explorer.php?ssid=7174 | ||
| 730c | A Level | Sketch a polar rose r = \sin k\theta | drfrost.org/explorer.php?ssid=7175 | ||
| 730d | A Level | Sketch a polar equation given in the form r = p \sec(\alpha - \theta) | drfrost.org/explorer.php?ssid=7176 | ||
| 730e | A Level | Sketch a polar equation given in the form r = a \sec\theta | drfrost.org/explorer.php?ssid=7177 | ||
| 730f | A Level | Sketch a lemniscate r2 = a^2 \cos 2\theta | drfrost.org/explorer.php?ssid=7178 | ||
| 730g | A Level | Distinguish between variants of the generalisation of a cardioid r = a(p + q\cos \theta) (limaçons). | drfrost.org/explorer.php?ssid=7179 | ||
| 731 | A Level | Exam Practice: Determining the area enclosed by a polar curve | drfrost.org/explorer.php?ssid=249 | E731 | |
| 731a | A Level | Determine the full area under a polar curve. | drfrost.org/explorer.php?ssid=7180 | ||
| 731b | A Level | Determine the area under a polar curve between two half lines. | drfrost.org/explorer.php?ssid=7181 | ||
| 731c | A Level | Determine an unknown constant in a polar equation given the area under the curve. | drfrost.org/explorer.php?ssid=7182 | ||
| 731d | A Level | Determine the area between two polar curves. | drfrost.org/explorer.php?ssid=7183 | ||
| 731e | A Level | Determine the area between a polar curve and vertical or horizontal line. | drfrost.org/explorer.php?ssid=7184 | ||
| 731f | A Level | Determine the area of a polar curve extracted from another region. | drfrost.org/explorer.php?ssid=7185 | ||
| 731g | A Level | Use the area under a polar curve in a modelled context. | drfrost.org/explorer.php?ssid=7186 | ||
| 732 | A Level | Exam Practice: Tangents and normals to polar curves | drfrost.org/explorer.php?ssid=4431 | E732 | |
| 732a | A Level | Determine the polar coordinates where the tangent is parallel to the initial line. | drfrost.org/explorer.php?ssid=7187 | ||
| 732b | A Level | Determine the polar coordinates where the tangent is perpendicular to the initial line. | drfrost.org/explorer.php?ssid=7188 | ||
| 732c | A Level | Determine the polar equation of the tangent of a polar curve parallel to the initial line. | drfrost.org/explorer.php?ssid=7189 | ||
| 732d | A Level | Determine the polar equation of the tangent of a polar curve perpendicular to the initial line. | drfrost.org/explorer.php?ssid=7190 | ||
| 733 | A Level | Exam Practice: Definitions and graphs of hyperbolic functions | drfrost.org/explorer.php?ssid=250 | E733 | |
| 733a | A Level | Calculate \sinh, \cosh, \tanh, \textrm{sech}, \textrm{cosech} and \coth of an integer value. | drfrost.org/explorer.php?ssid=1495 | K966 | |
| 733b | A Level | Calculate \sinh, \cosh, \tanh, \textrm{sech}, \textrm{cosech} and \coth of a logarithmic value. | drfrost.org/explorer.php?ssid=7191 | ||
| 733c | A Level | Recognise graphs of y = \sinh x, y = \cosh x and y = \tanh x | drfrost.org/explorer.php?ssid=7192 | ||
| 733d | A Level | Recognise graphs of y = \textrm{sech}\, x, y = \textrm{cosech}\, x and y = \coth x | drfrost.org/explorer.php?ssid=7193 | ||
| 734 | A Level | Exam Practice: Inverse hyperbolic functions | drfrost.org/explorer.php?ssid=252 | E734 | |
| 734a | A Level | Solve a simple hyperbolic equation given in the form \sinh x = k | drfrost.org/explorer.php?ssid=7194 | ||
| 734b | A Level | Recognise graphs of y = \mathrm{arsinh} \, x, y = \mathrm{arcosh} \, x and y = \mathrm{artanh} \, x | drfrost.org/explorer.php?ssid=7195 | ||
| 734c | A Level | Use formulae to calculate the output of inverse hyperbolic values. | drfrost.org/explorer.php?ssid=7196 | ||
| 734d | A Level | Determine the hyperbolic counterpart to a trigonometric identity using Osborn's rule. | drfrost.org/explorer.php?ssid=7197 | ||
| 734e | A Level | Solve an equation with a mixture of hyperbolic functions, without squares. | drfrost.org/explorer.php?ssid=7198 | ||
| 734f | A Level | Solve an equation involving a mixture of hyperbolic and exponential terms. | drfrost.org/explorer.php?ssid=7199 | ||
| 734g | A Level | Solve an equation using a hyperbolic identity. | drfrost.org/explorer.php?ssid=7200 | ||
| 734h | A Level | Determine the output of a hyperbolic function given the output of another. | drfrost.org/explorer.php?ssid=7201 | ||
| 734i | A Level | Solve a more complex equation by using the definition of a inverse hyperbolic term. | drfrost.org/explorer.php?ssid=7202 | ||
| 735 | A Level | Exam Practice: Differentiating hyperbolic and inverse hyperbolic functions | drfrost.org/explorer.php?ssid=251 | E735 | |
| 735a | A Level | Differentiate a simple hyperbolic term. | drfrost.org/explorer.php?ssid=7203 | ||
| 735b | A Level | Differentiate a hyperbolic expression using the chain rule. | drfrost.org/explorer.php?ssid=7204 | ||
| 735c | A Level | Differentiate a simple inverse hyperbolic term. | drfrost.org/explorer.php?ssid=7205 | ||
| 735d | A Level | Differentiate a inverse hyperbolic expression using the chain rule. | drfrost.org/explorer.php?ssid=7206 | ||
| 735e | A Level | Differentiate a product involving an inverse hyperbolic term. | drfrost.org/explorer.php?ssid=7207 | ||
| 735f | A Level | Obtain a first order differential equation from an inverse hyperbolic function. | drfrost.org/explorer.php?ssid=7208 | ||
| 735g | A Level | Obtain a second order differential equation from an inverse hyperbolic function. | drfrost.org/explorer.php?ssid=7209 | ||
| 736 | A Level | Exam Practice: Integrating hyperbolic functions | drfrost.org/explorer.php?ssid=4432 | E736 | |
| 736a | A Level | Integrate standard results to yield a hyperbolic expression. | drfrost.org/explorer.php?ssid=7210 | ||
| 736b | A Level | Integrate functions to yield a hyperbolic expression that first requires splitting a fraction. | drfrost.org/explorer.php?ssid=7211 | ||
| 736c | A Level | Integrate a product of two hyperbolic terms where one has a power. | drfrost.org/explorer.php?ssid=7212 | ||
| 736d | A Level | Integrate expressions involving \sinh^2 or \cosh^2 | drfrost.org/explorer.php?ssid=7213 | ||
| 736e | A Level | Integrate expressions involving \sinh^3 or \cosh^3 | drfrost.org/explorer.php?ssid=7214 | ||
| 736f | A Level | Integrate expressions involving a product of an exponential and hyperbolic term. | drfrost.org/explorer.php?ssid=7215 | ||
| 737 | A Level | Exam Practice: Integrating functions given in the form \frac{1}{\sqrt{x^2 + a^2}} and \frac{1}{\sqrt{x^2 - a^2}} | drfrost.org/explorer.php?ssid=254 | E737 | |
| 737a | A Level | Integrate expressions given in the form \frac{1}{\sqrt{x^2 + a^2}} | drfrost.org/explorer.php?ssid=7216 | ||
| 737b | A Level | Find the definite integral of expressions given in the form \frac{1}{\sqrt{x^2 + a^2}} | drfrost.org/explorer.php?ssid=7217 | ||
| 737c | A Level | Integrate expressions given in the form \frac{1}{\sqrt{x^2 - a^2}} | drfrost.org/explorer.php?ssid=7218 | ||
| 737d | A Level | Calculate a definite integral for expressions given in the form \frac{1}{\sqrt{x^2 - a^2}} | drfrost.org/explorer.php?ssid=7219 | ||
| 737e | A Level | Integrate \sqrt{x^2 + a^2} using a hyperbolic substitution. | drfrost.org/explorer.php?ssid=7220 | ||
| 737f | A Level | Integrate expressions given in the form \frac{1}{\sqrt{a^2 x^2 + b^2}} | drfrost.org/explorer.php?ssid=7221 | ||
| 737g | A Level | Calculate a definite integral for expressions given in the form \frac{1}{\sqrt{a^2 x^2 + b^2}} | drfrost.org/explorer.php?ssid=7222 | ||
| 737h | A Level | Integrate an expression given in the form \frac{f(x)}{\sqrt{x^2 + a^2}} and \frac{g(x)}{\sqrt{x^2 - a^2}} using a hyperbolic substitution. | drfrost.org/explorer.php?ssid=7223 | ||
| 737i | A Level | Integrate an expression given in the form \frac{1}{x^2 + bx + c} by completing the square. | drfrost.org/explorer.php?ssid=7224 | ||
| 737j | A Level | Calculate a definite integral for expressions given in the form \frac{1}{x^2 + bx + c} | drfrost.org/explorer.php?ssid=7225 | ||
| 737k | A Level | Integrate an expression given in the form \frac{1}{\sqrt{x^2 + bx + c}} by completing the square. | drfrost.org/explorer.php?ssid=7226 | ||
| 737l | A Level | Calculate a definite integral for expressions given in the form \frac{1}{\sqrt{x^2 + bx + c}} | drfrost.org/explorer.php?ssid=7227 | ||
| 737m | A Level | Integrate an expression given in the form \frac{1}{ax^2 + bx + c} by completing the square. | drfrost.org/explorer.php?ssid=7228 | ||
| 737n | A Level | Integrate an expression given in the form \frac{1}{\sqrt{ax^2 + bx + c}} by completing the square. | drfrost.org/explorer.php?ssid=7229 | ||
| 738 | A Level | Exam Practice: Using integrating factors to solve differential equations given in the form \frac{dy}{dx} + P(x)y = Q(x) | drfrost.org/explorer.php?ssid=255 | E738 | |
| 738a | A Level | Solve a first order differential equation where the left-hand-side of the equation can be expressed as \frac{d}{dx}\left[f(x)y\right] | drfrost.org/explorer.php?ssid=7230 | ||
| 738b | A Level | Determine the general solution to first order differential equations, involving polynomial terms, by using an integrating factor. | drfrost.org/explorer.php?ssid=7231 | ||
| 738c | A Level | Determine the general solution to first order differential equations, involving trigonometric terms, by using an integrating factor. | drfrost.org/explorer.php?ssid=7232 | ||
| 738d | A Level | Determine the general solution to first order differential equations, involving exponential terms, by using an integrating factor. | drfrost.org/explorer.php?ssid=8646 | ||
| 738e | A Level | Determine the general solution to first order differential equations, involving logarithmic terms, by using an integrating factor. | drfrost.org/explorer.php?ssid=7233 | ||
| 738f | A Level | Determine the particular solution of a first order differential equation. | drfrost.org/explorer.php?ssid=7234 | ||
| 738g | A Level | Determine the general solution to first order differential equations involving hyperbolic terms. | drfrost.org/explorer.php?ssid=7235 | ||
| 739 | A Level | Exam Practice: Homogeneous second order differential equations | drfrost.org/explorer.php?ssid=256 | E739 | |
| 739a | A Level | Determine the general solution of a differential equation a \frac{d^2y}{dx^2} + b \frac{dy}{dx} + cy = 0 where the auxiliary equation has distinct roots. | drfrost.org/explorer.php?ssid=7236 | ||
| 739b | A Level | Determine the general solution of a differential equation a \frac{d^2y}{dx^2} + b \frac{dy}{dx} + cy = 0 where the auxiliary equation has equal roots. | drfrost.org/explorer.php?ssid=7237 | ||
| 739c | A Level | Determine the general solution of a differential equation a \frac{d^2y}{dx^2} + cy = 0 where the auxiliary equation has imaginary roots. | drfrost.org/explorer.php?ssid=7238 | ||
| 739d | A Level | Determine the general solution of a differential equation a \frac{d^2y}{dx^2} + b \frac{dy}{dx} + cy = 0 where the auxiliary equation has complex roots. | drfrost.org/explorer.php?ssid=7239 | ||
| 739e | A Level | Determine the particular solution of a homogeneous second order differential equation. | drfrost.org/explorer.php?ssid=7240 | ||
| 739f | A Level | Determine the general solution to a homogeneous second order differential equation involving hyperbolic terms. | drfrost.org/explorer.php?ssid=7241 | ||
| 739g | A Level | Determine the general solution of a homogeneous second order differential equation in a modelled context. | drfrost.org/explorer.php?ssid=7242 | ||
| 739h | A Level | Comment on the suitability of the solution to a second order differential equation which in a modelled context. | drfrost.org/explorer.php?ssid=7243 | ||
| 740 | A Level | Exam Practice: Non-homogeneous second order differential equations | drfrost.org/explorer.php?ssid=257 | E740 | |
| 740a | A Level | Determine the general solution of a second order differential equations given in the form a \frac{d^2y}{dx^2} + b \frac{dy}{dx} + cy = k | drfrost.org/explorer.php?ssid=7244 | ||
| 740b | A Level | Determine the general solution of a second order differential equations given in the form a \frac{d^2y}{dx^2} + b \frac{dy}{dx} + cy = px + q | drfrost.org/explorer.php?ssid=7245 | ||
| 740c | A Level | Determine the general solution of a second order differential equations given in the form a \frac{d^2y}{dx^2} + b \frac{dy}{dx} + cy = px^2 + qx + r | drfrost.org/explorer.php?ssid=7246 | ||
| 740d | A Level | Determine the general solution of a second order differential equations given in the form a \frac{d^2y}{dx^2} + b \frac{dy}{dx} + cy = pe^{qx} | drfrost.org/explorer.php?ssid=7247 | ||
| 740e | A Level | Determine the general solution of a second order differential equations given in the form a \frac{d^2y}{dx^2} + b \frac{dy}{dx} + cy = k \sin \omega x | drfrost.org/explorer.php?ssid=7248 | ||
| 740f | A Level | Determine the general solution of a non-homogeneous second order differential equation where the particular integral overlaps with the complementary function. | drfrost.org/explorer.php?ssid=7249 | ||
| 740g | A Level | Determine the particular solution to a non-homogeneous second order differential equation. | drfrost.org/explorer.php?ssid=7250 | ||
| 740h | A Level | Determine general solutions to non-homogenous second order differential equations in a modelled context. | drfrost.org/explorer.php?ssid=7251 | ||
| 740i | A Level | Determine particular solutions to non-homogenous second order differential equations in a modelled context and find the output for a given input. | drfrost.org/explorer.php?ssid=7252 | ||
| 741 | A Level | Exam Practice: Simple Harmonic Motion (excluding springs) | drfrost.org/explorer.php?ssid=258 | E741 | |
| 741a | A Level | Determine the period of oscillation of a particle with SHM given the amplitude and maximum speed. | drfrost.org/explorer.php?ssid=7253 | ||
| 741b | A Level | Determine the speed of a particle with SHM at a particular displacement, given the amplitude and maximum speed. | drfrost.org/explorer.php?ssid=7254 | ||
| 741c | A Level | Determine the time taken for a particle with SHM to move between different displacements, given the amplitude and maximum speed. | drfrost.org/explorer.php?ssid=7255 | ||
| 741d | A Level | Determine the period of oscillation of a particle with SHM given the the mass of a particle and a force in the form kx | drfrost.org/explorer.php?ssid=7256 | ||
| 741e | A Level | Determine the period of oscillation of a particle with SHM given the maximum acceleration and maximum speed. | drfrost.org/explorer.php?ssid=7257 | ||
| 741f | A Level | Determine the amplitude of oscillation of a particle with SHM given the maximum acceleration and maximum speed. | drfrost.org/explorer.php?ssid=7258 | ||
| 741g | A Level | Determine the time taken for a particle with SHM to move between different displacements given the maximum acceleration and maximum speed. | drfrost.org/explorer.php?ssid=7259 | ||
| 741h | A Level | Determine the amplitude of motion of a particle with SHM given the period and maximum speed. | drfrost.org/explorer.php?ssid=7260 | ||
| 742 | A Level | Exam Practice: Modelling damped oscillations using second order differential equations | drfrost.org/explorer.php?ssid=259 | E742 | |
| 742a | A Level | Form a second-order differential equation involving a damping force on an oscillation. | drfrost.org/explorer.php?ssid=7261 | ||
| 742b | A Level | Determine whether damped motion is heavy damping, critical damping or light damping using its second-order differential equation. | drfrost.org/explorer.php?ssid=7262 | ||
| 742c | A Level | Determine the equation of motion for damped oscillations. | drfrost.org/explorer.php?ssid=7263 | ||
| 742d | A Level | Determine the period of the motion of damped oscillations. | drfrost.org/explorer.php?ssid=7264 | ||
| 743 | A Level | Exam Practice: Modelling forced harmonic motion using non-homogeneous second order differential equations | drfrost.org/explorer.php?ssid=4433 | E743 | |
| 743a | A Level | Form a second-order differential equation involving forced harmonic motion. | drfrost.org/explorer.php?ssid=7265 | ||
| 743b | A Level | Determine the equation of motion for forced harmonic motion. | drfrost.org/explorer.php?ssid=7266 | ||
| 744 | A Level | Exam Practice: Coupled first order linear differential equations (no use of eigenvalues) | drfrost.org/explorer.php?ssid=260 | E744 | |
| 744a | A Level | Understand and form Lotka-Volterra (predator-prey) equations. | drfrost.org/explorer.php?ssid=7267 | ||
| 744b | A Level | Use homogeneous coupled differential equations to form a single second order differential equation. | drfrost.org/explorer.php?ssid=7268 | ||
| 744c | A Level | Find a general solution for x in terms of t for homogeneous coupled differential equations. | drfrost.org/explorer.php?ssid=7269 | ||
| 744d | A Level | Find a general solution for y in terms of t for homogeneous coupled differential equations, given the solution for x | drfrost.org/explorer.php?ssid=7270 | ||
| 744e | A Level | Use non-homogeneous coupled differential equations to form a single second order differential equation. | drfrost.org/explorer.php?ssid=7271 | ||
| 744f | A Level | Find a general solution for x in terms of t for non-homogeneous coupled differential equations. | drfrost.org/explorer.php?ssid=7272 | ||
| 744g | A Level | Find a general solution for y in terms of t for non-homogeneous coupled differential equations, given the solution for x | drfrost.org/explorer.php?ssid=7273 | ||
| 744h | A Level | Determine particular solutions to non-homogenous coupled differential equations and find the output for a given input. | drfrost.org/explorer.php?ssid=7274 | ||
| 744i | A Level | Suggest limitations of the solutions to Lotka-Volterra equations. | drfrost.org/explorer.php?ssid=7275 | ||
| 745 | A Level | Exam Practice: Partitions of a set | drfrost.org/explorer.php?ssid=4434 | E745 | |
| 745a | A Level | Identity valid and invalid partitions of a set. | drfrost.org/explorer.php?ssid=7276 | ||
| 745b | A Level | Partition a set of 3 or 4 elements into subsets, without restriction. | drfrost.org/explorer.php?ssid=7277 | ||
| 745c | A Level | Determine the number of ways to partition a set into two non-empty subsets. | drfrost.org/explorer.php?ssid=7278 | ||
| 745d | A Level | Determine the number of ways to partition a set without restrictions. | drfrost.org/explorer.php?ssid=7279 | ||
| 746 | A Level | Exam Practice: Pigeonhole principle / Dirichlet's box principle | drfrost.org/explorer.php?ssid=4435 | E746 | |
| 746a | A Level | Recognise that if there are more items than containers, there must be multiple items in the same container. | drfrost.org/explorer.php?ssid=7280 | ||
| 746b | A Level | Recognise that if items are shared between containers, there is a container with at least the mean number of items. | drfrost.org/explorer.php?ssid=7281 | ||
| 746c | A Level | Apply the pigeonhole principle to problems involving remainders, e.g. proving that two chosen values must add up to a certain multiple. | drfrost.org/explorer.php?ssid=7282 | ||
| 746d | A Level | Apply the pigeonhole principle to problems where there is a fixed total value of the items. | drfrost.org/explorer.php?ssid=7283 | ||
| 747 | A Level | Exam Practice: Inclusion-exclusion principle | drfrost.org/explorer.php?ssid=4436 | E747 | |
| 747a | A Level | Be able to use the inclusion-exclusion principle for 2 sets in solving problems. | drfrost.org/explorer.php?ssid=7284 | ||
| 747b | A Level | Extend the inclusion-exclusion principle to more than 2 sets. | drfrost.org/explorer.php?ssid=7285 | ||
| 748 | A Level | Exam Practice: Derangements | drfrost.org/explorer.php?ssid=4437 | E748 | |
| 748a | A Level | List the derangements of 3 items. | drfrost.org/explorer.php?ssid=7286 | ||
| 748b | A Level | List the derangements of 4 items. | drfrost.org/explorer.php?ssid=7287 | ||
| 748c | A Level | Determine the number of derangements for 5 items. | drfrost.org/explorer.php?ssid=7288 | ||
| 748d | A Level | Use the general formula for the number of derangements for n items. | drfrost.org/explorer.php?ssid=7289 | ||
| 749 | A Level | Exam Practice: Stirling numbers of the second kind | drfrost.org/explorer.php?ssid=4438 | E749 | |
| 749a | A Level | Use an appropriate counting strategy to determine the number of ways of partitioning a set of n objects into k non-empty subsets. | drfrost.org/explorer.php?ssid=7290 | ||
| 749b | A Level | Use a formula for the Stirling number S(n,k) to determine the number of ways of partitioning a set of n objects into k non-empty subsets. | drfrost.org/explorer.php?ssid=7291 | ||
| 749c | A Level | Calculate the Bell number B_n, the total number of ways of partitioning a set of n objects into non-empty subsets. | drfrost.org/explorer.php?ssid=7292 | ||
| 750 | A Level | Exam Practice: Vector product \textbf{a} \times \textbf{b} of two vectors | drfrost.org/explorer.php?ssid=278 | E750 | |
| 750a | A Level | State the vector product of a combination of \textbf{i}, \textbf{j} and \textbf{k} | drfrost.org/explorer.php?ssid=7293 | ||
| 750b | A Level | Use the vector product to find a vector perpendicular to two others. | drfrost.org/explorer.php?ssid=7294 | ||
| 750c | A Level | Recognise properties of vector products, including the effect of reversing the order in the product and the vector product of the same vector. | drfrost.org/explorer.php?ssid=7295 | ||
| 750d | A Level | Determine the vector product of two vectors based on the position vectors of three points. | drfrost.org/explorer.php?ssid=7296 | ||
| 750e | A Level | Determine the area of a triangle using the vector product of vectors forming two sides of the triangle. | drfrost.org/explorer.php?ssid=7297 | ||
| 750f | A Level | Determine the area of a triangle given the position vector of the vertices, using the vector product. | drfrost.org/explorer.php?ssid=7298 | ||
| 750g | A Level | Determine the area of a parallelogram using a vector product. | drfrost.org/explorer.php?ssid=7299 | ||
| 751 | A Level | Exam Practice: Components of vectors in an arbitrary direction | drfrost.org/explorer.php?ssid=4439 | E751 | |
| 751a | A Level | Determine the component of a vector acting in the direction of another vector. | drfrost.org/explorer.php?ssid=7300 | ||
| 751b | A Level | Determine the component of a vector acting perpendicular to the direction of another vector. | drfrost.org/explorer.php?ssid=7301 | ||
| 751c | A Level | Determine the component of a force acting parallel to the direction of an object. | drfrost.org/explorer.php?ssid=7302 | ||
| 751d | A Level | Determine the component of a force acting perpendicular to the direction of an object. | drfrost.org/explorer.php?ssid=7303 | ||
| 752 | A Level | Exam Practice: Scalar triple product \textbf{a} \cdot \textbf{b} \times \textbf{c} | drfrost.org/explorer.php?ssid=279 | E752 | |
| 752a | A Level | Calculate a scalar triple product. | drfrost.org/explorer.php?ssid=7304 | ||
| 752b | A Level | Calculate the volume of a parallelepiped using a scalar triple product given vectors for three of its edges. | drfrost.org/explorer.php?ssid=7305 | ||
| 752c | A Level | Calculate the volume of a parallelepiped using a scalar triple product given position vectors for some its vertices. | drfrost.org/explorer.php?ssid=7306 | ||
| 752d | A Level | Determine an unknown value in a coordinate of a parallelepiped given its volume. | drfrost.org/explorer.php?ssid=7307 | ||
| 752e | A Level | Calculate the volume of a tetrahedron using a scalar triple product given vectors for three of its edges. | drfrost.org/explorer.php?ssid=7308 | ||
| 752f | A Level | Calculate the volume of a tetrahedron using a scalar triple product given the position vectors of its vertices. | drfrost.org/explorer.php?ssid=7309 | ||
| 752g | A Level | Determine the volume of a truncated tetrahedron. | drfrost.org/explorer.php?ssid=7310 | ||
| 753 | A Level | Exam Practice: Equations of lines and planes and shortest distances using vector products | drfrost.org/explorer.php?ssid=280 | E753 | |
| 753a | A Level | Determine the equation of a straight line in the form (\textbf{r}-\textbf{a})\times \textbf{b} = 0 using two points on the line. | drfrost.org/explorer.php?ssid=7311 | ||
| 753b | A Level | Determine the equation of a straight line in the form (\textbf{r} \times \textbf{a} = \textbf{b} using two points on the line. | drfrost.org/explorer.php?ssid=7312 | ||
| 753c | A Level | Determine the direction cosines of the lines l, m and n | drfrost.org/explorer.php?ssid=7313 | ||
| 753d | A Level | Determine the coordinates of a point on a line with given vector product equation and one of the cosines. | drfrost.org/explorer.php?ssid=7314 | ||
| 753e | A Level | Determine the Cartesian equation of a line by calculating the direction cosines. | drfrost.org/explorer.php?ssid=7315 | ||
| 753f | A Level | Determine the Cartesian equation of a plane given vector equations of a line and a point on the plane. | drfrost.org/explorer.php?ssid=7316 | ||
| 753g | A Level | Determine the normal vector to a plane given its equation in the form \textbf{r} = \textbf{a} + \lambda\textbf{b} + \gamma\textbf{c} | drfrost.org/explorer.php?ssid=7317 | ||
| 753h | A Level | Determine the equation of a plane in the form \textbf{r}\cdot\textbf{n} = p given three points that lie on the plane. | drfrost.org/explorer.php?ssid=7318 | ||
| 753i | A Level | Determine the Cartesian equation of a plane given three points that lie on the plane. | drfrost.org/explorer.php?ssid=7319 | ||
| 753j | A Level | Determine the vector equation of the line of intersection of two planes with equations in the form \textbf{r} \cdot \textbf{n} = p | drfrost.org/explorer.php?ssid=7320 | ||
| 753k | A Level | Determine the vector product equation \textbf{r} \times \textbf{a} = \textbf{b} of the line of intersection of two planes with equations in the form \textbf{r} \cdot \textbf{n} = p or \textb | drfrost.org/explorer.php?ssid=7321 | ||
| 753l | A Level | Determine the shortest distance between two skew lines with given vector equations, using the vector product. | drfrost.org/explorer.php?ssid=7322 | ||
| 753m | A Level | Determine the vector equation of a line formed from the matrix transformation of another line. | drfrost.org/explorer.php?ssid=8647 | ||
| 754 | A Level | Exam Practice: Geometric definitions of conic sections | drfrost.org/explorer.php?ssid=4440 | E754 | |
| 754a | A Level | Recognise circles, parabolas, ellipses and hyperbolae as sections of a double cone. | drfrost.org/explorer.php?ssid=7323 | ||
| 754b | A Level | Understand circles, parabolas, ellipses and hyperbolae as being defined as a locus of points with some interaction with a focus/foci and a directrix/directrices. | drfrost.org/explorer.php?ssid=7324 | ||
| 755 | A Level | Exam Practice: Parabolas (with vertex at the origin) and their focus and directrix | drfrost.org/explorer.php?ssid=4441 | E755 | |
| 755a | A Level | Determine the equation of a parabola with a given its focus and directrix. | drfrost.org/explorer.php?ssid=7325 | ||
| 755b | A Level | Determine the coordinates of the focus and the equation of the directrix of a parabola. | drfrost.org/explorer.php?ssid=7326 | ||
| 755c | A Level | Write the parametric equations of a parabola given its Cartesian equation, or vice versa. | drfrost.org/explorer.php?ssid=7327 | ||
| 755d | A Level | Find an equation of the tangent to a parabola y^2 = 4ax using its parametric form. | drfrost.org/explorer.php?ssid=7328 | ||
| 755e | A Level | Find an equation of the normal to a parabola y^2 = 4ax using its parametric form. | drfrost.org/explorer.php?ssid=7329 | ||
| 755f | A Level | Determine the coordinates of a point where a tangent or normal to a parabola meets the directrix, an axis or the original curve. | drfrost.org/explorer.php?ssid=7330 | ||
| 755g | A Level | Determine the equation of a line which passes through two points of a parabola. | drfrost.org/explorer.php?ssid=7331 | ||
| 756a | A Level | Understand the geometric definition of a rectangular hyperbola in terms of its foci and directrices. | drfrost.org/explorer.php?ssid=8664 | ||
| 756b | A Level | Write the parametric equations of a rectangular hyperbola given its Cartesian equation, or vice versa. | drfrost.org/explorer.php?ssid=8665 | ||
| 756c | A Level | Find the equation of the tangent to a rectangular hyperbola using its parametric form. | drfrost.org/explorer.php?ssid=8666 | ||
| 756d | A Level | Find the equation of the normal to a rectangular hyperbola using its parametric form. | drfrost.org/explorer.php?ssid=8667 | ||
| 757 | A Level | Exam Practice: Ellipses and hyperbolae (excluding eccentricity) | drfrost.org/explorer.php?ssid=4442 | E757 | |
| 757a | A Level | Sketch an ellipse given its Cartesian equation. | drfrost.org/explorer.php?ssid=7332 | ||
| 757b | A Level | Write the parametric equations of an ellipse given its Cartesian equation, or vice versa. | drfrost.org/explorer.php?ssid=7333 | ||
| 757c | A Level | Write the parametric equations of a hyperbola given its Cartesian equation, or vice versa. | drfrost.org/explorer.php?ssid=7334 | ||
| 757d | A Level | Sketch a hyperbola and give the coordinates of the roots and equations of the asymptotes. | drfrost.org/explorer.php?ssid=7335 | ||
| 757e | A Level | Find an equation of a tangent to an ellipse. | drfrost.org/explorer.php?ssid=7336 | ||
| 757f | A Level | Find an equation of a normal to an ellipse. | drfrost.org/explorer.php?ssid=7337 | ||
| 757g | A Level | Find an equation of a tangent to a hyperbola. | drfrost.org/explorer.php?ssid=7338 | ||
| 757h | A Level | Find an equation of a normal to a hyperbola. | drfrost.org/explorer.php?ssid=7339 | ||
| 757i | A Level | Find the equation of the tangent to a hyperbola which passes through a particular point. | drfrost.org/explorer.php?ssid=7340 | ||
| 757j | A Level | Determine an equation in terms of x where a generic line y = mx + c meets a hyperbola with given equation. | drfrost.org/explorer.php?ssid=7341 | ||
| 758 | A Level | Exam Practice: Eccentricity in ellipses and hyperbolae | drfrost.org/explorer.php?ssid=4443 | E758 | |
| 758a | A Level | Distinguish between a locus of points in the cases where the eccentricity e < 1, e = 1 and e > 1 | drfrost.org/explorer.php?ssid=7342 | ||
| 758b | A Level | Calculate the eccentricity for an ellipse with given Cartesian equation. | drfrost.org/explorer.php?ssid=7343 | ||
| 758c | A Level | Determine the coordinates of the foci and equations of the directrices for an ellipse with given Cartesian equation, where a > b | drfrost.org/explorer.php?ssid=7344 | ||
| 758d | A Level | Determine the coordinates of the foci and equations of the directrices for an ellipse with given Cartesian equation, where a < b | drfrost.org/explorer.php?ssid=7345 | ||
| 758e | A Level | Determine the a and b in the equation of an ellipse given a focus or directrix. | drfrost.org/explorer.php?ssid=7346 | ||
| 758f | A Level | Determine the coordinates of the foci and equations of the directrices for a hyperbola with given Cartesian equation. | drfrost.org/explorer.php?ssid=7347 | ||
| 758g | A Level | Show that the total distance from a point on an ellipse to the two foci is fixed. | drfrost.org/explorer.php?ssid=7348 | ||
| 759 | A Level | Exam Practice: Loci problems involving parabolas, ellipses and hyperbolae | drfrost.org/explorer.php?ssid=266 | E759 | |
| 759a | A Level | Prove that the locus of points equidistant from a focus (a,0) and directrix x=-a has equation y^2 = 4ax | drfrost.org/explorer.php?ssid=7349 | ||
| 759b | A Level | Determine the equation of the locus of the midpoint of the x and y intercepts of a tangent to an ellipse. | drfrost.org/explorer.php?ssid=7350 | ||
| 759c | A Level | Determine the equation of the locus of the point of intersection of two normals to a parabola where the chord of the two points on the curve passes through the focus. | drfrost.org/explorer.php?ssid=7351 | ||
| 759d | A Level | Find an equation of the locus of the midpoint between a point on an ellipse and the foot of the perpendicular on a line x = k | drfrost.org/explorer.php?ssid=7352 | ||
| 760 | A Level | Exam Practice: Translated parabolas | drfrost.org/explorer.php?ssid=4444 | E760 | |
| 760a | A Level | Put the equation of a vertical parabola in the form (x-h)^2 = 4a(y-k) | drfrost.org/explorer.php?ssid=7353 | ||
| 760b | A Level | Put the equation of a horizontal parabola in the form (y-k)^2 = 4a(x-h) | drfrost.org/explorer.php?ssid=7354 | ||
| 760c | A Level | Determine the coordinates of the vertex and focus and equation of the directrix of a vertical parabola in the form (x-h)^2 = 4a(y-k) | drfrost.org/explorer.php?ssid=7355 | ||
| 760d | A Level | Determine the coordinates of the vertex and focus and equation of the directrix of a horizontal parabola in the form (y-k)^2 = 4a(x-h) | drfrost.org/explorer.php?ssid=7356 | ||
| 761 | A Level | Exam Practice: General Cartesian equations of conics and their rotation | drfrost.org/explorer.php?ssid=4445 | E761 | |
| 761a | A Level | Determine whether a conic is a parabola, circle, ellipse or hyperbola by observing the coefficients in the general equation of a conic parallel to the coordinate axes Ax^2 + Cy^2 + Dx + Ey + F = 0 | drfrost.org/explorer.php?ssid=7357 | ||
| 761b | A Level | Complete the square to determine the centre of an ellipse or hyperbola. | drfrost.org/explorer.php?ssid=7358 | ||
| 761c | A Level | Use \cot(2\theta) = \frac{A-C}{B} and a rotation matrix to rotate a conic into standard form. | drfrost.org/explorer.php?ssid=7359 | ||
| 761d | A Level | Determine the centre, vertices, foci and equations of the directrices of a rotated hyperbola. | drfrost.org/explorer.php?ssid=7360 | ||
| 761e | A Level | Determine the centre, vertices, foci and equations of the directrices of a rotated ellipse. | drfrost.org/explorer.php?ssid=7361 | ||
| 761f | A Level | Determine the centre, vertices, foci and equations of the directrices of a rotated parabola. | drfrost.org/explorer.php?ssid=7362 | ||
| 762 | A Level | Exam Practice: Conic sections in polar form | drfrost.org/explorer.php?ssid=4446 | E762 | |
| 762a | A Level | Use a table of values to plot a conic section in the form r = \frac{ed}{1 \pm e \cos \theta} or r = \frac{ed}{1 \pm e \sin \theta} | drfrost.org/explorer.php?ssid=7363 | ||
| 762b | A Level | Identify the type of conic section from its polar equation. | drfrost.org/explorer.php?ssid=7364 | ||
| 762c | A Level | Determine the distance between the focus and directrix of a conic section given its polar equation. | drfrost.org/explorer.php?ssid=7365 | ||
| 762d | A Level | Sketch an ellipse given its polar equation. | drfrost.org/explorer.php?ssid=7366 | ||
| 762e | A Level | Sketch a parabola given its polar equation. | drfrost.org/explorer.php?ssid=7367 | ||
| 762f | A Level | Sketch a hyperbola given its polar equation. | drfrost.org/explorer.php?ssid=7368 | ||
| 762g | A Level | Write a polar equation for a conic section with given eccentricity and equation of a directrix in the form x = k | drfrost.org/explorer.php?ssid=7369 | ||
| 762h | A Level | Write a polar equation for a conic section with given eccentricity and equation of a directrix in the form y = k | drfrost.org/explorer.php?ssid=7370 | ||
| 762i | A Level | Write a polar equation of an ellipse with vertices (r_1, 0) and (r_2, \pi) | drfrost.org/explorer.php?ssid=7371 | ||
| 762j | A Level | Write a polar equation of a parabola with directrix x = k or y = k and its vertex the origin. | drfrost.org/explorer.php?ssid=7372 | ||
| 762k | A Level | Write a polar equation of a parabola with vertex (r,\pi) and its focus the origin. | drfrost.org/explorer.php?ssid=7373 | ||
| 763 | A Level | Exam Practice: Solving cubic and quartic inequalities and inequalities involving fractions | drfrost.org/explorer.php?ssid=541 | E763 | |
| 763a | A Level | Solve inequalities given in the form f(x) > g(x) where one of the functions is quadratic and both functions are sketched. | drfrost.org/explorer.php?ssid=7374 | ||
| 763b | A Level | Solve inequalities given in the form f(x) > g(x) where one of the functions is cubic and both functions are sketched. | drfrost.org/explorer.php?ssid=7375 | ||
| 763c | A Level | Solve an inequality given in the form f(x) < 0 or f(x) > 0, where f(x) is a factorised polynomial of order 3 or higher. | drfrost.org/explorer.php?ssid=7376 | ||
| 763d | A Level | Solve an inequality involving a fraction with linear denominator, leading to a quadratic inequality. | drfrost.org/explorer.php?ssid=2157 | ||
| 763e | A Level | Solve an inequality involving a fraction with linear denominator, leading to a cubic inequality. | drfrost.org/explorer.php?ssid=7377 | ||
| 763f | A Level | Solve an inequality involving two fractions with different linear denominators, leading to a quartic inequality. | drfrost.org/explorer.php?ssid=7378 | ||
| 763g | A Level | Solve an inequality involving two fractions with different quadratic denominators. | drfrost.org/explorer.php?ssid=7379 | ||
| 763h | A Level | Use graphs to solve inequalities involving fractions with linear denominators. | drfrost.org/explorer.php?ssid=7380 | ||
| 763i | A Level | Solve more complex inequalities involving a modulus, including the modulus of quadratic functions. | drfrost.org/explorer.php?ssid=7381 | ||
| 763j | A Level | Solve a < f(|x|) < b where a sketch of y = f(x) is given. | drfrost.org/explorer.php?ssid=7382 | ||
| 764 | A Level | Exam Practice: Taylor series | drfrost.org/explorer.php?ssid=194 | E764 | |
| 764a | A Level | Determine the Taylor expansion of a function f(x) as powers of (x-a) | drfrost.org/explorer.php?ssid=7383 | ||
| 764b | A Level | Determine the Taylor expansion of a function f(x+a) as powers of x | drfrost.org/explorer.php?ssid=7384 | ||
| 764c | A Level | Determine the Taylor expansion of a function f(x) as powers of (x-a) involving more complex trigonometric expressions. | drfrost.org/explorer.php?ssid=7385 | ||
| 764d | A Level | Determine the Taylor expansion of a function f(x+a) as powers of x involving more complex trigonometric expressions. | drfrost.org/explorer.php?ssid=7386 | ||
| 764e | A Level | Use a Taylor or Maclaurin expansion to evaluate a limit. | drfrost.org/explorer.php?ssid=7387 | ||
| 764f | A Level | Use a Taylor expansion to find an approximation to a value. | drfrost.org/explorer.php?ssid=7388 | ||
| 765 | A Level | Exam Practice: Lagrange error bound (Taylor remainder theorem) | drfrost.org/explorer.php?ssid=4447 | E765 | |
| 765a | A Level | Determine the least degree of a Taylor polynomial that guarantees an error smaller than a specific value. | drfrost.org/explorer.php?ssid=7389 | ||
| 766 | A Level | Exam Practice: Series solution of differential equations using Taylor series | drfrost.org/explorer.php?ssid=261 | E766 | |
| 766a | A Level | Use the Taylor method to find a series solution of a differential equation in powers of x, where x_0 = 0 | drfrost.org/explorer.php?ssid=7390 | ||
| 766b | A Level | Use the Taylor method to find a series solution of a differential equation in powers of x-a, where x_0 = a | drfrost.org/explorer.php?ssid=7391 | ||
| 767 | A Level | Exam Practice: Leibnitz's theorem | drfrost.org/explorer.php?ssid=242 | E767 | |
| 767a | A Level | Determine the nth derivative of a product using Leibnitz's theorem. | drfrost.org/explorer.php?ssid=7392 | ||
| 767b | A Level | Determine the nth derivative of a product involving a hyperbolic function, using Leibnitz's theorem. | drfrost.org/explorer.php?ssid=7393 | ||
| 767c | A Level | Find a general result, in terms of n, for the nth derivative of a product. | drfrost.org/explorer.php?ssid=7394 | ||
| 767d | A Level | Use Leibtnitz's theorem to find a coefficient of a Taylor series expansion. | drfrost.org/explorer.php?ssid=7395 | ||
| 768 | A Level | Exam Practice: L'Hospital's rule | drfrost.org/explorer.php?ssid=243 | E768 | |
| 768a | A Level | Use L'Hospital's rule once to evaluate a limit that involves the indeterminate form \frac{0}{0} or \frac{\pm\infty}{\pm\infty} | drfrost.org/explorer.php?ssid=7396 | ||
| 768b | A Level | Use L'Hospital's rule twice to evaluate a limit that involves the indeterminate form \frac{0}{0} or \frac{\pm\infty}{\pm\infty} | drfrost.org/explorer.php?ssid=7397 | ||
| 768c | A Level | Use L'Hospital's rule to evaluate a limit involving \textrm{cosec} \, x, \cot x and \sec x | drfrost.org/explorer.php?ssid=7398 | ||
| 768d | A Level | Use L'Hospital's rule to evaluate limits involving 1^\infty or 0 \times \infty | drfrost.org/explorer.php?ssid=7399 | ||
| 769 | A Level | Exam Practice: Tangent half-angle substitution (t-formulae or Weierstrass substitution) for integration | drfrost.org/explorer.php?ssid=244 | E769 | |
| 769a | A Level | Use t-formulae to turn a more complex trigonometric integration into a simpler one in terms of t. | drfrost.org/explorer.php?ssid=7400 | ||
| 769b | A Level | Use t-formulae to integrate a more complex trigonometric expression. | drfrost.org/explorer.php?ssid=7401 | ||
| 769c | A Level | Determine a definite integral using a tangent half-angle substitution. | drfrost.org/explorer.php?ssid=7402 | ||
| 770 | A Level | Exam Practice: Slope fields | drfrost.org/explorer.php?ssid=4448 | E770 | |
| 770a | A Level | Draw a slope field/tangent field given a gradient function. | drfrost.org/explorer.php?ssid=7403 | ||
| 770b | A Level | Use a slope field/tangent field to draw a solution to a differential equation that starts at a given point. | drfrost.org/explorer.php?ssid=7404 | ||
| 771 | A Level | Exam Practice: Euler's method for numerical solutions to first-order differential equations | drfrost.org/explorer.php?ssid=285 | E771 | |
| 771a | A Level | Use Euler's method to find approximate solutions to first-order differential equations, using one iteration. | drfrost.org/explorer.php?ssid=7405 | ||
| 771b | A Level | Use Euler's method to find approximate solutions to first-order differential equations, using two or more iterations. | drfrost.org/explorer.php?ssid=7406 | ||
| 771c | A Level | Use Euler's method to find approximate solutions to first-order differential equations involving hyperbolic functions. | drfrost.org/explorer.php?ssid=7407 | ||
| 771d | A Level | Use Euler's method to find approximate solutions to coupled first-order differential equations. | drfrost.org/explorer.php?ssid=8518 | ||
| 772 | A Level | Exam Practice: Midpoint method for numerical solutions to first-order differential equations | drfrost.org/explorer.php?ssid=4449 | E772 | |
| 772a | A Level | Use the midpoint method to find approximate solutions to first-order differential equations. | drfrost.org/explorer.php?ssid=7408 | ||
| 773 | A Level | Exam Practice: Runge-Kutta methods | drfrost.org/explorer.php?ssid=4450 | E773 | |
| 773a | A Level | Derive the modified Euler method (Runge-Kutta order 2). | drfrost.org/explorer.php?ssid=7409 | ||
| 773b | A Level | Use the modified Euler method (Runge-Kutta order 2) to find approximate solutions to first-order differential equations, with one of more iterations. | drfrost.org/explorer.php?ssid=7410 | ||
| 773c | A Level | Understand that Runge-Kutta methods of order k in general approximate the kth order Taylor polynomial of the curve at that point. | drfrost.org/explorer.php?ssid=7411 | ||
| 773d | A Level | Use one iteration of the classical 4th order Runge Kutta method (RK4) to find approximate solutions to first-order differential equations. | drfrost.org/explorer.php?ssid=7412 | ||
| 774 | A Level | Exam Practice: Euler's method for numerical solutions to second order differential equations | drfrost.org/explorer.php?ssid=4451 | E774 | |
| 774a | A Level | Use Euler's method to find approximate solutions to second-order differential equations. | drfrost.org/explorer.php?ssid=7413 | ||
| 774b | A Level | Use Euler's method to find approximate solutions to second-order differential equations that also contain the first derivative. | drfrost.org/explorer.php?ssid=7414 | ||
| 775 | A Level | Exam Practice: Mid-ordinate rule | drfrost.org/explorer.php?ssid=4452 | E775 | |
| 775a | A Level | Use the mid-ordinate rule/midpoint rule to estimate the area under a curve. | drfrost.org/explorer.php?ssid=7415 | ||
| 775b | A Level | Use an approximation of area using the mid-ordinate rule/midpoint rule to deduce an approximation of a similar definite integral. | drfrost.org/explorer.php?ssid=7416 | ||
| 776 | A Level | Exam Practice: Simpson's rule | drfrost.org/explorer.php?ssid=286 | E776 | |
| 776a | A Level | Use Simpson's rule to estimate the area under a curve. | drfrost.org/explorer.php?ssid=7417 | ||
| 776b | A Level | Use an approximation of area using Simpson's rule to deduce an approximation of a similar definite integral. | drfrost.org/explorer.php?ssid=7418 | ||
| 777 | A Level | Exam Practice: Lagrange's interpolating polynomial | drfrost.org/explorer.php?ssid=4453 | E777 | |
| 777a | A Level | Use Lagrange's interpolating polynomial to find the equation of a straight line that goes through 2 points. | drfrost.org/explorer.php?ssid=7419 | ||
| 777b | A Level | Use Lagrange's interpolating polynomial to find the equation of a parabola that goes through 3 points. | drfrost.org/explorer.php?ssid=7420 | ||
| 777c | A Level | Use Lagrange's interpolating polynomial to estimate the value of y for a given x. | drfrost.org/explorer.php?ssid=7421 | ||
| 777d | A Level | Understand the drawbacks of using Lagrange's interpolating polynomial. | drfrost.org/explorer.php?ssid=7422 | ||
| 778 | A Level | Exam Practice: Newton's forward difference interpolation method | drfrost.org/explorer.php?ssid=4454 | E778 | |
| 778a | A Level | Calculate the forward difference table given a list of data points. | drfrost.org/explorer.php?ssid=7423 | ||
| 778b | A Level | Interpolate a value for a function using Newton's forward difference interpolation method. | drfrost.org/explorer.php?ssid=7424 | ||
| 779 | A Level | Exam Practice: Angle bisector theorem | drfrost.org/explorer.php?ssid=4455 | E779 | |
| 779a | A Level | Prove the angle bisector theorem. | drfrost.org/explorer.php?ssid=7425 | ||
| 779b | A Level | Solve geometric problems using the angle bisector theorem. | drfrost.org/explorer.php?ssid=7426 | ||
| 779c | A Level | Use the converse of the angle bisector theorem. | drfrost.org/explorer.php?ssid=7427 | ||
| 780 | A Level | Exam Practice: Apollonius' circle theorem | drfrost.org/explorer.php?ssid=4456 | E780 | |
| 780a | A Level | Prove that the locus of points where the distances from the point to two foci are in a given ratio (not equal to 1) forms a circle. | drfrost.org/explorer.php?ssid=7428 | ||
| 780b | A Level | Determine the equation of an Apollonius' circle given the two foci and the ratio of distances. | drfrost.org/explorer.php?ssid=7429 | ||
| 781 | A Level | Exam Practice: Menelaus' theorem | drfrost.org/explorer.php?ssid=4457 | E781 | |
| 781a | A Level | Prove Menelaus' theorem. | drfrost.org/explorer.php?ssid=7430 | ||
| 781b | A Level | Use Menelaus' theorem to find unknown lengths. | drfrost.org/explorer.php?ssid=7431 | ||
| 781c | A Level | Use the converse of Menelaus' theorem to prove that three points are collinear. | drfrost.org/explorer.php?ssid=7432 | ||
| 781d | A Level | Use Menelaus' theorem to solve area problems. | drfrost.org/explorer.php?ssid=7433 | ||
| 782 | A Level | Exam Practice: Ceva's theorem | drfrost.org/explorer.php?ssid=4458 | E782 | |
| 782a | A Level | Prove Ceva's theorem. | drfrost.org/explorer.php?ssid=7434 | ||
| 782b | A Level | Use Ceva's theorem to find unknown lengths. | drfrost.org/explorer.php?ssid=7435 | ||
| 782c | A Level | Use the converse of Ceva's theorem to prove that the medians of a triangle intersect at a single point (the centroid). | drfrost.org/explorer.php?ssid=7436 | ||
| 782d | A Level | Use the converse of Ceva's theorem to prove that the altitudes of a triangle intersect at a single point (the orthocentre). | drfrost.org/explorer.php?ssid=7437 | ||
| 783 | A Level | Exam Practice: Ptolemy's theorem for cyclic quadrilaterals | drfrost.org/explorer.php?ssid=4459 | E783 | |
| 783a | A Level | Prove Ptolemy's theorem. | drfrost.org/explorer.php?ssid=7438 | ||
| 783b | A Level | Use Ptolemy's theorem to find unknown lengths. | drfrost.org/explorer.php?ssid=7439 | ||
| 784 | A Level | Exam Practice: Substitutions to reduce a differential equation | drfrost.org/explorer.php?ssid=262 | E784 | |
| 784a | A Level | Use a substitution y = vx to turn a differential equation given in the form \frac{dy}{dx} = f\left(\frac{y}{x}\right) into a linearly separable one. | drfrost.org/explorer.php?ssid=7440 | ||
| 784b | A Level | Determine the general solution of first-order differential equation where a substitution can be used to reduce it to a linearly separable one. | drfrost.org/explorer.php?ssid=7441 | ||
| 784c | A Level | Use a substitution to turn a first-order differential equation (without hyperbolic terms) into one that could be solved using an Integrating Factor. | drfrost.org/explorer.php?ssid=7442 | ||
| 784d | A Level | Use a substitution to turn a first-order differential equation with hyperbolic terms into one that could be solved using an Integrating Factor. | drfrost.org/explorer.php?ssid=7443 | ||
| 784e | A Level | Determine the general solution of a first-order differentiation equation where a substitution can be used to reduce to the form \frac{dy}{dx} + P(x) y = Q(x) | drfrost.org/explorer.php?ssid=7444 | ||
| 784f | A Level | Use a substitution to reduce a second-order differential equation into one in the form a \frac{d^2 y}{dx^2} + b \frac{dy}{dx} + cy = ... | drfrost.org/explorer.php?ssid=7445 | ||
| 784g | A Level | Find the general solution of a second-order differential equation where a substitution can be used to reduce to the form a \frac{d^2 y}{dx^2} + b \frac{dy}{dx} + cy = f(x) | drfrost.org/explorer.php?ssid=7446 | ||
| 785 | A Level | Exam Practice: Division theorem and Euclidean algorithm | drfrost.org/explorer.php?ssid=292 | E785 | |
| 785a | A Level | Use | notation to express divisibility. | drfrost.org/explorer.php?ssid=7447 | ||
| 785b | A Level | Prove statements involving divisibility notation. | drfrost.org/explorer.php?ssid=7448 | ||
| 785c | A Level | Use the division algorithm to find a unique quotient and remainder for any two integers. | drfrost.org/explorer.php?ssid=7449 | ||
| 785d | A Level | Use the Euclidean algorithm to find the Greatest Common Divisor (Higher Common Factor) of any two integers. | drfrost.org/explorer.php?ssid=7450 | ||
| 785e | A Level | Use the result a|b and a|c \implies a|(bx+cy) to find common factors of two expressions in the form pn + q and rn + s for any integer n. | drfrost.org/explorer.php?ssid=7451 | ||
| 786 | A Level | Exam Practice: Bezout's Identity | drfrost.org/explorer.php?ssid=293 | E786 | |
| 786a | A Level | Determine integers x and y such that ax + by = \textrm{gcd}(a,b) | drfrost.org/explorer.php?ssid=7452 | ||
| 786b | A Level | Understand the significance of solutions x and y existing to an equation given in the form ax + by = 1 | drfrost.org/explorer.php?ssid=7453 | ||
| 787 | A Level | Exam Practice: Modular arithmetic | drfrost.org/explorer.php?ssid=294 | E787 | |
| 787a | A Level | Determine if two integers a and b are congruent modulo k. | drfrost.org/explorer.php?ssid=7454 | ||
| 787b | A Level | List integers congruent to another. | drfrost.org/explorer.php?ssid=7455 | ||
| 787c | A Level | Understand the significance of a \equiv 0 \,(\textrm{mod} \, k) | drfrost.org/explorer.php?ssid=7456 | ||
| 787d | A Level | Use the law of exponentiation for modulo arithmetic to find the remainder when large powers are divided by an integer. | drfrost.org/explorer.php?ssid=7457 | ||
| 787e | A Level | Determine the last digit of a large power. | drfrost.org/explorer.php?ssid=7458 | ||
| 787f | A Level | Reason about last digits of expressions containing factorials. | drfrost.org/explorer.php?ssid=7459 | ||
| 787g | A Level | Reason about the digits of a number in a divisibility problem using modulo arithmetic. | drfrost.org/explorer.php?ssid=7460 | ||
| 787h | A Level | Use modular arithmetic to determine all values of n such that expressions an+b and cn+d are not coprime. | drfrost.org/explorer.php?ssid=7461 | ||
| 788 | A Level | Exam Practice: Equivalence relations and equivalence classes | drfrost.org/explorer.php?ssid=4460 | E788 | |
| 788a | A Level | Determine whether common binary operators on a specified set are reflexive, symmetric and transitive, and therefore is an equivalence relation. | drfrost.org/explorer.php?ssid=7462 | ||
| 788b | A Level | Determine whether a relation, specified as a set of pairs, is an equivalence relation on a set. | drfrost.org/explorer.php?ssid=7463 | ||
| 788c | A Level | Determine the set of all equivalence classes given an equivalence relation over a specified set. | drfrost.org/explorer.php?ssid=7464 | ||
| 789 | A Level | Exam Practice: Partial orders | drfrost.org/explorer.php?ssid=4461 | E789 | |
| 789a | A Level | Determine whether common binary operators on a specified set are partial orders relations. | drfrost.org/explorer.php?ssid=7465 | ||
| 789b | A Level | Determine whether common binary operators on a specified set are strict partial orders relations. | drfrost.org/explorer.php?ssid=7466 | ||
| 789c | A Level | Draw a Hasse diagram to illustrate a partial order. | drfrost.org/explorer.php?ssid=7467 | ||
| 790 | A Level | Exam Practice: Wilson's theorem | drfrost.org/explorer.php?ssid=4462 | E790 | |
| 790a | A Level | Use Wilson's theorem to determine if a number is prime. | drfrost.org/explorer.php?ssid=7468 | ||
| 791 | A Level | Exam Practice: Solving congruence equations | drfrost.org/explorer.php?ssid=4463 | E791 | |
| 791a | A Level | Solve a congruence equation given in the form x \equiv a \,(\textrm{mod}\, k), giving the least residue. | drfrost.org/explorer.php?ssid=7469 | ||
| 791b | A Level | Solve a congruence equation given in the form a \equiv b \,(\textrm{mod}\, x) for x. | drfrost.org/explorer.php?ssid=7470 | ||
| 791c | A Level | Determine the number of solutions of a congruence equation given in the form ax \equiv b \,(\textrm{mod}\, k) | drfrost.org/explorer.php?ssid=7471 | ||
| 791d | A Level | Solve a congruence equation given in the form ax \equiv b \,(\textrm{mod}\, k) using simple cancelling. | drfrost.org/explorer.php?ssid=7472 | ||
| 791e | A Level | Determine if two integers are multiplicative inverses modulo k. | drfrost.org/explorer.php?ssid=7473 | ||
| 791f | A Level | Determine a multiplicative inverse of an integer modulo k. | drfrost.org/explorer.php?ssid=7474 | ||
| 791g | A Level | Use multiplicative inverses to solve a congruence equation given in the form ax \equiv b \,(\textrm{mod}\, k) | drfrost.org/explorer.php?ssid=7475 | ||
| 791h | A Level | Use solutions to Bezout's identity to solve a congruence equation given in the form ax \equiv b \,(\textrm{mod}\, k) | drfrost.org/explorer.php?ssid=7476 | ||
| 792 | A Level | Exam Practice: The Chinese remainder theorem | drfrost.org/explorer.php?ssid=4464 | E792 | |
| 792a | A Level | Determine the solution to a Chinese remainder problem where the remainders are all one less than the divisors. | drfrost.org/explorer.php?ssid=7477 | ||
| 792b | A Level | Determine the solution to a Chinese remainder problem by listing. | drfrost.org/explorer.php?ssid=7478 | ||
| 792c | A Level | Determine the solution to a Chinese remainder problem by using multiplicative inverses. | drfrost.org/explorer.php?ssid=7479 | ||
| 793 | A Level | Exam Practice: Fermat's little theorem | drfrost.org/explorer.php?ssid=296 | E793 | |
| 793a | A Level | Recognise examples of Fermat's Little Theorem. | drfrost.org/explorer.php?ssid=7480 | ||
| 793b | A Level | Determine the remainder when a large power is divided by a prime number, using Fermat's Little Theorem. | drfrost.org/explorer.php?ssid=7481 | ||
| 793c | A Level | Solve congruence equations using Fermat's Little Theorem. | drfrost.org/explorer.php?ssid=7482 | ||
| 793d | A Level | Use the binomial theorem to show that (a+b)^p \equiv a^p + b^p (mod p) for prime p and use this result. | drfrost.org/explorer.php?ssid=7483 | ||
| 794 | A Level | Exam Practice: Euler's totient function and Euler's theorem | drfrost.org/explorer.php?ssid=4465 | E794 | |
| 794a | A Level | Calculate Euler's totient function \varphi(n) for an integer n, including where n is prime. | drfrost.org/explorer.php?ssid=7484 | ||
| 794b | A Level | Use \varphi(mn) = \varphi(m) \times \varphi(n) to calculate Euler's totient function of larger integers. | drfrost.org/explorer.php?ssid=7485 | ||
| 794c | A Level | Use Euler's theorem a^{\psi(n)} \equiv 1 \,\textrm{mod}\, n | drfrost.org/explorer.php?ssid=7486 | ||
| 795 | A Level | Exam Practice: Methods in cryptography | drfrost.org/explorer.php?ssid=4466 | E795 | |
| 795a | A Level | Use a Caesar cipher to encrypt and decrypt messages. | drfrost.org/explorer.php?ssid=7487 | ||
| 795b | A Level | Convert a Universal Product Code barcode (UPC-A) to a 12-digit number. | drfrost.org/explorer.php?ssid=7488 | ||
| 795c | A Level | Understand concepts in cryptographic hash functions for one-way encryption, including hash collisions and MD5 encryption. | drfrost.org/explorer.php?ssid=7489 | ||
| 795d | A Level | Generate a key using RSA encryption. | drfrost.org/explorer.php?ssid=7490 | ||
| 795e | A Level | Encrypt an integer with a given public key using RSA. | drfrost.org/explorer.php?ssid=7491 | ||
| 795f | A Level | Decrypt an integer with a given private key using RSA. | drfrost.org/explorer.php?ssid=7492 | ||
| 796 | A Level | Exam Practice: Non-linear Diophantine equations | drfrost.org/explorer.php?ssid=4467 | E796 | |
| 796a | A Level | Find integer solutions to equations containing xy, x and y terms. | drfrost.org/explorer.php?ssid=7493 | ||
| 796b | A Level | Find integer solutions to equations including x^2 and y^2 terms. | drfrost.org/explorer.php?ssid=7494 | ||
| 797 | A Level | Exam Practice: Pell's equation | drfrost.org/explorer.php?ssid=4468 | E797 | |
| 797a | A Level | Determine integer solutions to Pell's equation x^2 - ny^2 = 1 given n. | drfrost.org/explorer.php?ssid=7495 | ||
| 797b | A Level | Use a solution to Pell's equation to find an approximation to a square root. | drfrost.org/explorer.php?ssid=7496 | ||
| 798 | A Level | Exam Practice: Pythagorean triples | drfrost.org/explorer.php?ssid=4469 | E798 | |
| 798a | A Level | Identify a missing value in a Pythagorean triple by inspection using scalings of common primitive Pythagorean triples. | drfrost.org/explorer.php?ssid=7497 | ||
| 798b | A Level | Generate a primitive Pythagorean triple using Euclid's formula. | drfrost.org/explorer.php?ssid=7498 | ||
| 798c | A Level | Reason about the divisibility of terms in Pythagoras' theorem by using modular arithmetic. | drfrost.org/explorer.php?ssid=7499 | ||
| 799 | A Level | Exam Practice: Axioms of a group | drfrost.org/explorer.php?ssid=287 | E799 | |
| 799a | A Level | Determine whether a set is closed under a binary operator. | drfrost.org/explorer.php?ssid=7500 | ||
| 799b | A Level | Identify an identity element of a set under a binary operator. | drfrost.org/explorer.php?ssid=7501 | ||
| 799c | A Level | Show that an operation is associative on a set. | drfrost.org/explorer.php?ssid=7502 | ||
| 799d | A Level | Show that all elements of a set have a inverse under a binary operator. | drfrost.org/explorer.php?ssid=7503 | ||
| 799e | A Level | Show that a set forms a group under a binary operator. | drfrost.org/explorer.php?ssid=7504 | ||
| 799f | A Level | Show that a set forms an abelian group under a binary operator. | drfrost.org/explorer.php?ssid=7505 | ||
| 799g | A Level | Determine the output of an expression given other equations. | drfrost.org/explorer.php?ssid=7506 | ||
| 799h | A Level | Prove a statement given a group. | drfrost.org/explorer.php?ssid=7507 | ||
| 800 | A Level | Exam Practice: Cayley tables and cyclic groups | drfrost.org/explorer.php?ssid=288 | E800 | |
| 800a | A Level | Form a Cayley table for a group (excluding modular arithmetic) and understand its key properties. | drfrost.org/explorer.php?ssid=7508 | ||
| 800b | A Level | Form a Cayley table for a group modulo n | drfrost.org/explorer.php?ssid=7509 | ||
| 800c | A Level | Read off a value from a Cayley table involving an expression with multiple applications of an operator. | drfrost.org/explorer.php?ssid=7510 | ||
| 800d | A Level | Use the associativity of an operator of a group to determine a value in a Cayley table. | drfrost.org/explorer.php?ssid=7511 | ||
| 800e | A Level | Show that a collection of permutations form a group under composition. | drfrost.org/explorer.php?ssid=7512 | ||
| 800f | A Level | Show that a set of geometric transformations together with composition form a group of symmetries. | drfrost.org/explorer.php?ssid=7513 | ||
| 800g | A Level | Show that a value is a generator of a cyclic group. | drfrost.org/explorer.php?ssid=7514 | ||
| 800h | A Level | Determine a generator of a cyclic group. | drfrost.org/explorer.php?ssid=7515 | ||
| 800i | A Level | Determine whether a group is cyclic. | drfrost.org/explorer.php?ssid=7516 | ||
| 800j | A Level | Prove that all cyclic groups are Abelian. | drfrost.org/explorer.php?ssid=7517 | ||
| 801 | A Level | Exam Practice: Other symmetries and frieze patterns | drfrost.org/explorer.php?ssid=4470 | E801 | |
| 801a | A Level | Understand translational symmetry. | drfrost.org/explorer.php?ssid=7518 | ||
| 801b | A Level | Understand glide reflection symmetry. | drfrost.org/explorer.php?ssid=7519 | ||
| 801c | A Level | Recognise the 7 different frieze symmetry groups. | drfrost.org/explorer.php?ssid=7520 | ||
| 801d | A Level | Identify the symmetries in different frieze groups, including translation, glide reflection, vertical and horizontal reflection and rotation. | drfrost.org/explorer.php?ssid=7521 | ||
| 802 | A Level | Exam Practice: Orders of groups, orders of elements and subgroups | drfrost.org/explorer.php?ssid=289 | E802 | |
| 802a | A Level | Identify the order of an element of a group given the set and operator. | drfrost.org/explorer.php?ssid=7522 | ||
| 802b | A Level | Identify the order of an element of a group using a Cayley table. | drfrost.org/explorer.php?ssid=7523 | ||
| 802c | A Level | Identify when no element of a group can have a self-inverse, using Lagrange's theorem. | drfrost.org/explorer.php?ssid=7524 | ||
| 802d | A Level | Determine whether a subset forms a subgroup of a group. | drfrost.org/explorer.php?ssid=7525 | ||
| 802e | A Level | Identify a subgroup of a group of symmetries. | drfrost.org/explorer.php?ssid=7526 | ||
| 802f | A Level | Use Fermat's Little Theorem to determine possible orders of a subgroup. | drfrost.org/explorer.php?ssid=7527 | ||
| 803 | A Level | Exam Practice: Isomorphism | drfrost.org/explorer.php?ssid=291 | E803 | |
| 803a | A Level | Describe an isomorphism between two groups. | drfrost.org/explorer.php?ssid=7528 | ||
| 803b | A Level | Determine whether two groups are isomorphic. | drfrost.org/explorer.php?ssid=7529 | ||
| 804 | A Level | Exam Practice: More complex loci in an Argand diagram | drfrost.org/explorer.php?ssid=170 | E804 | |
| 804a | A Level | Determine the Cartesian equations for locus given in the form \left|z-a\right| = k\left|z - b\right| | drfrost.org/explorer.php?ssid=7530 | ||
| 804b | A Level | Sketch the locus for equations given in the form \left|z-a\right| = k\left|z - b\right| | drfrost.org/explorer.php?ssid=7531 | ||
| 804c | A Level | Determine the minimum and maximum values of \textrm{arg}(z) for a locus given in the form \left|z-a\right| = k\left|z - b\right| | drfrost.org/explorer.php?ssid=7532 | ||
| 804d | A Level | Determine the minimum and maximum values of \left|z\right| for a locus given in the form \left|z-a\right| = k\left|z - b\right| | drfrost.org/explorer.php?ssid=7533 | ||
| 804e | A Level | Determine a complex number which satisfies both \left|z-a\right| = k\left|z - b\right| and arg(z-c) = \theta | drfrost.org/explorer.php?ssid=7534 | ||
| 804f | A Level | Sketch the locus for equations given in the form arg\left( \frac{z-a}{z-b} \right) = \beta | drfrost.org/explorer.php?ssid=7535 | ||
| 804g | A Level | Identify the minimum or maximum value of \left|z\right| given a locus given in the form arg\left( \frac{z-a}{z-b} \right) = \beta | drfrost.org/explorer.php?ssid=7536 | ||
| 804h | A Level | Identify regions in the Argand diagram that include \left|z-a\right| < k\left|z - b\right| | drfrost.org/explorer.php?ssid=7537 | ||
| 804i | A Level | Determine whether a complex number satisfies an inequality given in the form \left|z-a\right| < k\left|z - b\right| | drfrost.org/explorer.php?ssid=7538 | ||
| 805 | A Level | Exam Practice: Elementary transformations from one complex plane to another | drfrost.org/explorer.php?ssid=171 | E805 | |
| 805a | A Level | Determine the complex equation of a locus given a transformation w = f(z) (with simple changing of subject). | drfrost.org/explorer.php?ssid=7539 | ||
| 805b | A Level | Determine the complex equation of a locus given a transformation w = f(z) (with more complex changing of subject). | drfrost.org/explorer.php?ssid=7540 | ||
| 805c | A Level | Determine the Cartesian equation of a curve formed by applying a transformation w = f(z) to a horizontal or vertical line. | drfrost.org/explorer.php?ssid=7541 | ||
| 805d | A Level | Describe the geometric transformation from one locus to another given a transformation w = f(z). | drfrost.org/explorer.php?ssid=7542 | ||
| 805e | A Level | Apply a Mobius transformation w = \frac{az + b}{cz + d} to a circle in the z-plane. | drfrost.org/explorer.php?ssid=7543 | ||
| 805f | A Level | Apply a Mobius transformation w = \frac{az + b}{cz + d} to a straight line in the z-plane. | drfrost.org/explorer.php?ssid=7544 | ||
| 806 | A Level | Exam Practice: Fibonacci-like sequences, steady-states and ratio between terms | drfrost.org/explorer.php?ssid=4471 | E806 | |
| 806a | A Level | Use Binet's formula to find the nth term of the Fibonacci sequence. | drfrost.org/explorer.php?ssid=7545 | ||
| 806b | A Level | Understand and use Cassini's identity. | drfrost.org/explorer.php?ssid=7546 | ||
| 806c | A Level | Prove algebraically that the ratio between successive terms in a Fibonacci-like sequence tends towards the Golden Ratio. | drfrost.org/explorer.php?ssid=7547 | ||
| 806d | A Level | Prove by induction that \phi^n = F_n\times\phi + F_{n-1} | drfrost.org/explorer.php?ssid=7548 | ||
| 807 | A Level | Exam Practice: Solutions of recurrence relations | drfrost.org/explorer.php?ssid=206 | E807 | |
| 807a | A Level | Form a first-order linear recurrence relation from context. | drfrost.org/explorer.php?ssid=7549 | ||
| 807b | A Level | Solve a first-order homogeneous linear recurrence relation given in the form u_n = au_{n-1} | drfrost.org/explorer.php?ssid=7550 | ||
| 807c | A Level | Solve a first-order non-homogeneous linear recurrence relation given in the form u_n = u_{n-1} + g(n) | drfrost.org/explorer.php?ssid=7551 | ||
| 807d | A Level | Solve a first-order non-homogeneous linear recurrence relation given in the form u_n = au_{n-1} + g(n) | drfrost.org/explorer.php?ssid=7552 | ||
| 808a | A Level | Determine the general or particular solution to a second-order homogeneous linear recurrence relation given in the form u_n = au_{n-1} + bu_{n-2} where the auxiliary equation has distinct real roo | drfrost.org/explorer.php?ssid=7553 | ||
| 808b | A Level | Determine the general or particular solution to a second-order homogeneous linear recurrence relation given in the form u_n = au_{n-1} + bu_{n-2} where the auxiliary equation has repeated roots. | drfrost.org/explorer.php?ssid=7554 | ||
| 808c | A Level | Determine the general or particular solution to a second-order homogeneous linear recurrence relation given in the form u_n = au_{n-1} + bu_{n-2} where the auxiliary equation has complex roots. | drfrost.org/explorer.php?ssid=7555 | ||
| 808d | A Level | Solve a second-order non-homogeneous linear recurrence relation given in the form u_n = au_{n-1} + bu_{n-2} + g(n) | drfrost.org/explorer.php?ssid=7556 | ||
| 809 | A Level | Exam Practice: Proof by induction with recurrence relations | drfrost.org/explorer.php?ssid=4472 | E809 | |
| 809a | A Level | Prove an nth term formula by induction given a first-order recurrence relation. | drfrost.org/explorer.php?ssid=7557 | ||
| 809b | A Level | Prove an nth term formula by induction given a second-order recurrence relation. | drfrost.org/explorer.php?ssid=7558 | ||
| 810 | A Level | Exam Practice: Eigenvalues, eigenvectors and diagonal form | drfrost.org/explorer.php?ssid=179 | E810 | |
| 810a | A Level | Determine whether a given vector is an eigenvector of a given matrix. | drfrost.org/explorer.php?ssid=7559 | ||
| 810b | A Level | Determine the eigenvalue given an eigenvector of a matrix. | drfrost.org/explorer.php?ssid=7560 | ||
| 810c | A Level | Determine the characteristic equation of a 2\times2 matrix. | drfrost.org/explorer.php?ssid=7561 | ||
| 810d | A Level | Determine the eigenvalues of a 2\times2 matrix. | drfrost.org/explorer.php?ssid=7562 | ||
| 810e | A Level | Determine the eigenvalues of a 3\times3 matrix. | drfrost.org/explorer.php?ssid=7563 | ||
| 810f | A Level | Determine the eigenvalues and corresponding eigenvectors of a 2\times2 matrix. | drfrost.org/explorer.php?ssid=7564 | ||
| 810g | A Level | Determine the eigenvalues and corresponding normalised eigenvectors of a 2\times2 matrix. | drfrost.org/explorer.php?ssid=7565 | ||
| 810h | A Level | Use eigenvectors to state the Cartesian equations of invariant lines of a matrix. | drfrost.org/explorer.php?ssid=7566 | ||
| 810i | A Level | Determine the eigenvector of a 3\times3 matrix given an eigenvalue. | drfrost.org/explorer.php?ssid=7567 | ||
| 810j | A Level | Determine the eigenvalues and corresponding eigenvectors of a 3\times3 matrix. | drfrost.org/explorer.php?ssid=7568 | ||
| 810k | A Level | Determine an unknown value in a matrix given an eigenvector and corresponding eigenvalue. | drfrost.org/explorer.php?ssid=7569 | ||
| 810l | A Level | Eigendecompose a diagonalisable matrix into a matrix of eigenvectors \textbf{P} and a diagonal matrix of eigenvalues \textbf{D}. | drfrost.org/explorer.php?ssid=7570 | ||
| 810m | A Level | Reduce a 2\times2 matrix to diagonal form. | drfrost.org/explorer.php?ssid=7571 | ||
| 810n | A Level | Reduce a 3\times3 matrix to diagonal form. | drfrost.org/explorer.php?ssid=7572 | ||
| 810o | A Level | Diagonalise a symmetric matrix by use of normalised eigenvectors. | drfrost.org/explorer.php?ssid=8463 | ||
| 810p | A Level | Use diagonalisation to determine a power of a matrix. | drfrost.org/explorer.php?ssid=7573 | ||
| 811 | A Level | Exam Practice: Homogeneous coupled first-order linear differential equations (using eigenvalues) | drfrost.org/explorer.php?ssid=4473 | E811 | |
| 811a | A Level | Understand and form coupled first-order linear equations in the form \begin{bmatrix}\dot{\textbf{x}}\\\dot{\textbf{y}}\end{bmatrix} = \textbf{M}\begin{bmatrix}\textbf{x}\\\textbf{y}\end{bmatrix} | drfrost.org/explorer.php?ssid=7574 | ||
| 811b | A Level | Determine the general solution to coupled first-order linear differential equations by finding eigenvalues and eigenvectors. | drfrost.org/explorer.php?ssid=7575 | ||
| 811c | A Level | Determine the particular solution using an initial point to coupled first-order linear differential equations by finding eigenvalues and eigenvectors. | drfrost.org/explorer.php?ssid=7576 | ||
| 811d | A Level | Determine the long-term ratio x:y given a solution to coupled first-order linear differential equations. | drfrost.org/explorer.php?ssid=7577 | ||
| 812 | A Level | Exam Practice: Sketching phase portraits | drfrost.org/explorer.php?ssid=4474 | E812 | |
| 812a | A Level | Visualise the gradient vector from coupled linear differential equations at a specific point on a slope field. | drfrost.org/explorer.php?ssid=7578 | ||
| 812b | A Level | Sketch the phase portrait of coupled linear differential equations when one eigenvalue is real and positive and one real and negative. | drfrost.org/explorer.php?ssid=7579 | ||
| 812c | A Level | Sketch the phase portrait of coupled linear differential equations when both eigenvalues are real and positive. | drfrost.org/explorer.php?ssid=7580 | ||
| 812d | A Level | Sketch the phase portrait of coupled linear differential equations when both eigenvalues are real and negative. | drfrost.org/explorer.php?ssid=7581 | ||
| 812e | A Level | Sketch the phase portrait of coupled linear differential equations when the eigenvalues are complex with positive real part. | drfrost.org/explorer.php?ssid=7582 | ||
| 812f | A Level | Sketch the phase portrait of coupled linear differential equations when the eigenvalues are complex with negative real part. | drfrost.org/explorer.php?ssid=7583 | ||
| 812g | A Level | Sketch the phase portrait of coupled linear differential equations when the eigenvalues are imaginary. | drfrost.org/explorer.php?ssid=7584 | ||
| 813 | A Level | Exam Practice: The Cayley-Hamilton theorem | drfrost.org/explorer.php?ssid=180 | E813 | |
| 813a | A Level | Show that a matrix satisfies its own characteristic equation. | drfrost.org/explorer.php?ssid=7585 | ||
| 813b | A Level | Use the Cayley-Hamilton theorem to prove a given matrix equation. | drfrost.org/explorer.php?ssid=7586 | ||
| 813c | A Level | Use the Cayley-Hamilton theorem to find the inverse of a 2\times2 matrix. | drfrost.org/explorer.php?ssid=7587 | ||
| 813d | A Level | Use the Cayley-Hamilton theorem to find the inverse of a 3\times3 matrix. | drfrost.org/explorer.php?ssid=7588 | ||
| 814 | A Level | Exam Practice: Set difference and symmetric difference | drfrost.org/explorer.php?ssid=4475 | E814 | |
| 814a | A Level | Determine the set difference B \ A (or B - A) given sets A and B. | drfrost.org/explorer.php?ssid=7589 | ||
| 814b | A Level | Determine the symmetric difference (disjunctive union) of two sets. | drfrost.org/explorer.php?ssid=7590 | ||
| 815 | A Level | Exam Practice: Cross products of sets | drfrost.org/explorer.php?ssid=4476 | E815 | |
| 815a | A Level | Determine the cross product of two discrete finite sets. | drfrost.org/explorer.php?ssid=7591 | ||
| 815b | A Level | Understand the cross product of infinite sets, e.g. \mathbb{R}^n | drfrost.org/explorer.php?ssid=7592 | ||
| 816 | A Level | Exam Practice: Power sets | drfrost.org/explorer.php?ssid=4477 | E816 | |
| 816a | A Level | Determine the power set of a set. | drfrost.org/explorer.php?ssid=7593 | ||
| 816b | A Level | Determine the size (cardinality) of the power set of a set. | drfrost.org/explorer.php?ssid=7594 | ||
| 817 | A Level | Exam Practice: De Morgan's law | drfrost.org/explorer.php?ssid=4478 | E817 | |
| 817a | A Level | Verify De Morgan's law given two or more sets. | drfrost.org/explorer.php?ssid=7595 | ||
| 817b | A Level | Rewrite Boolean statements using De Morgan's law. | drfrost.org/explorer.php?ssid=7596 | ||
| 818 | A Level | Exam Practice: Vector spaces, spans of vectors, subspaces and the basis of a vector space | drfrost.org/explorer.php?ssid=4479 | E818 | |
| 818a | A Level | Determine whether a set forms a vector space (linear space). | drfrost.org/explorer.php?ssid=7597 | ||
| 818b | A Level | Understand when a vector space is a subspace of another larger space. | drfrost.org/explorer.php?ssid=7598 | ||
| 818c | A Level | Determine the span of two or more vectors. | drfrost.org/explorer.php?ssid=7599 | ||
| 818d | A Level | Determine the linear combination of two non-parallel 2D vectors that would yield a given point in \mathbb{R}^2 | drfrost.org/explorer.php?ssid=7600 | ||
| 818e | A Level | Determine whether two or more vectors are linearly independent, and appreciate the span of linearly independent vectors is \mathbb{R}^n. | drfrost.org/explorer.php?ssid=7601 | ||
| 818f | A Level | Determine the basis vectors of a vector space. | drfrost.org/explorer.php?ssid=7602 | ||
| 819 | A Level | Exam Practice: Null spaces (kernels) | drfrost.org/explorer.php?ssid=4480 | E819 | |
| 819a | A Level | Understand the definition of the null space (kernel) and prove that a null space is a subspace. | drfrost.org/explorer.php?ssid=7603 | ||
| 819b | A Level | Determine the null space (kernel) of a matrix, first reducing to row reduced echelon form. | drfrost.org/explorer.php?ssid=7604 | ||
| 819c | A Level | Understand that the null space of a matrix will contain only the zero vector if and only if its rows are linearly independent. | drfrost.org/explorer.php?ssid=7605 | ||
| 820 | A Level | Exam Practice: Column spaces (images) | drfrost.org/explorer.php?ssid=4481 | E820 | |
| 820a | A Level | Determine the basis vectors of the column space (image) of a matrix. | drfrost.org/explorer.php?ssid=7606 | ||
| 820b | A Level | Determine the Cartesian equation of the plane that represents the column space of a matrix. | drfrost.org/explorer.php?ssid=7607 | ||
| 821 | A Level | Exam Practice: Dimensions of spaces | drfrost.org/explorer.php?ssid=4482 | E821 | |
| 821a | A Level | Determine the dimension of the null space (the nullity). | drfrost.org/explorer.php?ssid=7608 | ||
| 821b | A Level | Determine the dimension of the column space (the rank). | drfrost.org/explorer.php?ssid=7609 | ||
| 821c | A Level | Use the rank-nullity theorem to determine the rank or nullity of a matrix without requiring the basis vectors of the relevant space. | drfrost.org/explorer.php?ssid=7610 | ||
| 822 | A Level | Exam Practice: Reduction formulae | drfrost.org/explorer.php?ssid=245 | E822 | |
| 822a | A Level | Prove a reduction formula from an integral (excluding hyperbolic functions). | drfrost.org/explorer.php?ssid=7611 | ||
| 822b | A Level | Use a reduction formula to integrate an expression with a high power (excluding hyperbolic functions). | drfrost.org/explorer.php?ssid=7612 | ||
| 822c | A Level | Prove a reduction formula for a definite integral (excluding hyperbolic functions). | drfrost.org/explorer.php?ssid=7613 | ||
| 822d | A Level | Use a reduction formula to calculate a definite integral. | drfrost.org/explorer.php?ssid=7614 | ||
| 822e | A Level | Prove a reduction formula from a hyperbolic integral. | drfrost.org/explorer.php?ssid=7615 | ||
| 822f | A Level | Use a reduction formula to integrate a hyperbolic expression with a high power. | drfrost.org/explorer.php?ssid=7616 | ||
| 823 | A Level | Exam Practice: Arc length for Cartesian, parametric or polar equations | drfrost.org/explorer.php?ssid=246 | E823 | |
| 823a | A Level | Determine an arc length for curve given in the form y = f(x) (excluding hyperbolics). | drfrost.org/explorer.php?ssid=7617 | ||
| 823b | A Level | Determine an arc length given parametric equations of the curve. | drfrost.org/explorer.php?ssid=7618 | ||
| 823c | A Level | Determine an arc length given a polar equation. | drfrost.org/explorer.php?ssid=7619 | ||
| 823d | A Level | Determine the length of an arc that requires a hyperbolic substitution. | drfrost.org/explorer.php?ssid=7620 | ||
| 823e | A Level | Determine the length of an arc involving a hyperbolic function. | drfrost.org/explorer.php?ssid=7621 | ||
| 824 | A Level | Exam Practice: Area of surface of revolution | drfrost.org/explorer.php?ssid=4483 | E824 | |
| 824a | A Level | Determine an expression for the surface area of the solid produced by revolving a curve with Cartesian equation around the x-axis. | drfrost.org/explorer.php?ssid=7622 | ||
| 824b | A Level | Determine the surface area of the solid produced by revolving a curve with Cartesian equation around the x-axis. | drfrost.org/explorer.php?ssid=7623 | ||
| 824c | A Level | Determine an expression for the surface area of the solid produced by revolving a curve with parametric equations around the x-axis. | drfrost.org/explorer.php?ssid=7624 | ||
| 824d | A Level | Determine the surface area of the solid produced by revolving a curve with parametric equations around the x-axis. | drfrost.org/explorer.php?ssid=7625 | ||
| 824e | A Level | Determine the surface area of the solid produced by revolving a curve with polar equation around the x-axis. | drfrost.org/explorer.php?ssid=7626 | ||
| 824f | A Level | Determine the surface area of the solid produced by revolving a curve around the x-axis, requiring a hyperbolic substitution. | drfrost.org/explorer.php?ssid=7627 | ||
| 824g | A Level | Determine the surface area of the solid produced by revolving a curve around the x-axis, given a hyperbolic function. | drfrost.org/explorer.php?ssid=7628 | ||
| 825 | A Level | Exam Practice: Equations of curved surfaces | drfrost.org/explorer.php?ssid=4484 | E825 | |
| 825a | A Level | Determine an unknown x, y or z value on a surface given in the form z = f(x,y) or g(x,y,z) = c, involving sum and products of powers of x and y only. | drfrost.org/explorer.php?ssid=7629 | ||
| 825b | A Level | Determine an unknown x, y or z value on a surface given in the form z = f(x,y) or g(x,y,z) = c, involving arbitrary functions including trigonometric, logarithmic and exponential. | drfrost.org/explorer.php?ssid=7630 | ||
| 825c | A Level | Sketch a section z = f(a,y) or z = f(x,b) of a surface. | drfrost.org/explorer.php?ssid=7631 | ||
| 825d | A Level | Sketch a contour c = f(x,y) of a surface. | drfrost.org/explorer.php?ssid=7632 | ||
| 826 | A Level | Exam Practice: Partial derivatives | drfrost.org/explorer.php?ssid=4485 | E826 | |
| 826a | A Level | Determine the first partial derivative f_x (\frac{\partial f}{\partial x}) or f_y of a function. | drfrost.org/explorer.php?ssid=7633 | ||
| 826b | A Level | Determine a mixed derivative f_{xy} or f_{yx} of a function (and appreciate these are the same by the Mixed Derivative Theorem). | drfrost.org/explorer.php?ssid=7634 | ||
| 826c | A Level | Determine the second partial derivative of a function. | drfrost.org/explorer.php?ssid=7635 | ||
| 827 | A Level | Exam Practice: Gradient vector \triangledown f | drfrost.org/explorer.php?ssid=4486 | E827 | |
| 827a | A Level | Determine the gradient vector \triangledown f (or \textrm{grad} \, f) | drfrost.org/explorer.php?ssid=7636 | ||
| 827b | A Level | Evaluate the gradient vector \triangledown f (or \textrm{grad} \, f) at a specific point. | drfrost.org/explorer.php?ssid=7637 | ||
| 827c | A Level | Determine the vector normal to the surface of a curved plane using the gradient vector. | drfrost.org/explorer.php?ssid=7638 | ||
| 828 | A Level | Exam Practice: Stationary points and tangent planes on 3D surfaces | drfrost.org/explorer.php?ssid=4487 | E828 | |
| 828a | A Level | Determine maxima, minima and saddle-points on a surface by use f_x = f_y = 0 | drfrost.org/explorer.php?ssid=7639 | ||
| 828b | A Level | Determine the nature of stationary points on a 3D surface by using a Hessian matrix. | drfrost.org/explorer.php?ssid=7640 | ||
| 828c | A Level | Determine the equation of a tangent plane to a 3D surface. | drfrost.org/explorer.php?ssid=7641 | ||
| 829 | A Level | Exam Practice: Envelopes | drfrost.org/explorer.php?ssid=4488 | E829 | |
| 829a | A Level | Determine the envelope of a family of curves. | drfrost.org/explorer.php?ssid=7642 | ||
| 830 | A Level | Exam Practice: Non-Euclidean geometry | drfrost.org/explorer.php?ssid=4489 | E830 | |
| 830a | A Level | Understand the difference between Euclidean and non-Euclidean geometry with reference to Euclid's five postulates and angle laws, and recognise spherical and hyperbolic geometries. | drfrost.org/explorer.php?ssid=7643 | ||
| 830b | A Level | Identify the number of vanishing paints in a perspective projection. | drfrost.org/explorer.php?ssid=7644 | ||
| 830c | A Level | Calculate the Manhattan distance between two 2D or 3D coordinates. | drfrost.org/explorer.php?ssid=7645 | ||
| 830d | A Level | Determine the straight-line distance between two longitude-latitude coordinates on the Earth's surface. | drfrost.org/explorer.php?ssid=7646 | ||
| 831 | A Level | Exam Practice: AM-GM inequality | drfrost.org/explorer.php?ssid=4490 | E831 | |
| 831a | A Level | Prove the AM-GM inequality for two variables, and know when equality is achieved. | drfrost.org/explorer.php?ssid=7647 | ||
| 831b | A Level | Form an AM-GM inequality for given algebraic expressions. | drfrost.org/explorer.php?ssid=7648 | ||
| 831c | A Level | Use the AM-GM inequality within proofs of inequalities. | drfrost.org/explorer.php?ssid=7649 | ||
| 832 | A Level | Exam Practice: Cauchy-Schwarz inequality | drfrost.org/explorer.php?ssid=4491 | E832 | |
| 832a | A Level | Form a Cauchy-Schwarz inequality for given algebraic expressions. | drfrost.org/explorer.php?ssid=7650 | ||
| 832b | A Level | Use the Cauchy-Schwarz inequality within proofs of inequalities. | drfrost.org/explorer.php?ssid=7651 | ||
| 833 | A Level | Exam Practice: Generalised triangle inequality | drfrost.org/explorer.php?ssid=8302 | E833 | |
| 833a | A Level | Use the generalised triangle inequality \left| \Sigma \textbf{a}_i \right| \le \Sigma \left|\textbf{a}_i\right| | drfrost.org/explorer.php?ssid=8303 | ||
| 834 | A Level | Exam Practice: Expected value E(X) and variance Var(X) of a discrete random variable | drfrost.org/explorer.php?ssid=308 | E834 | |
| 834a | A Level | Determine E(X) for a symmetrical discrete random variable. | drfrost.org/explorer.php?ssid=7652 | ||
| 834b | A Level | Determine E(X) for a discrete random variable. | drfrost.org/explorer.php?ssid=7653 | ||
| 834c | A Level | Determine E(X) for a discrete random variable expressed using functional notation. | drfrost.org/explorer.php?ssid=7654 | ||
| 834d | A Level | Determine E(X^2) for a discrete random variable. | drfrost.org/explorer.php?ssid=7655 | ||
| 834e | A Level | Determine E(f(x)) for a more arbitrary function. | drfrost.org/explorer.php?ssid=7656 | ||
| 834f | A Level | Determine Var(X) for a discrete random variable. | drfrost.org/explorer.php?ssid=7657 | ||
| 834g | A Level | Determine Var(X) for a discrete random variable expressed using functional notation. | drfrost.org/explorer.php?ssid=7658 | ||
| 834h | A Level | Determine a simplified expression for E(X) by using \Sigma p(x) = 1 | drfrost.org/explorer.php?ssid=7659 | ||
| 834i | A Level | Determine two unknown variables for probabilities in a discrete random variable given E(X) | drfrost.org/explorer.php?ssid=7660 | ||
| 834j | A Level | Determine two unknown variables for probabilities in a discrete random variable given E(X), expressed using functional notation. | drfrost.org/explorer.php?ssid=7661 | ||
| 834k | A Level | Determine two unknown variables for probabilities in a discrete random variable given Var(X) | drfrost.org/explorer.php?ssid=8648 | ||
| 834l | A Level | Determine the probability of a quadratic or cubic inequality being satisfied using a discrete random variable. | drfrost.org/explorer.php?ssid=7662 | ||
| 835 | A Level | Exam Practice: Expected value and variance of a binomial distribution | drfrost.org/explorer.php?ssid=4492 | E835 | |
| 835a | A Level | Determine the expected value and variance of a binomial distribution. | drfrost.org/explorer.php?ssid=7663 | ||
| 835b | A Level | Determine n or p in a binomial distribution where the expected value is given. | drfrost.org/explorer.php?ssid=7664 | ||
| 835c | A Level | Determine the p in a binomial distribution that would result in a given variance. | drfrost.org/explorer.php?ssid=7665 | ||
| 835d | A Level | Determine n and p in a binomial distribution where both the mean and variance of the distribution is given. | drfrost.org/explorer.php?ssid=7666 | ||
| 835e | A Level | Derive the formulae for the expected value and variance of a binomial distribution. | drfrost.org/explorer.php?ssid=7667 | ||
| 836 | A Level | Exam Practice: Expected value and variance of a discrete uniform distribution | drfrost.org/explorer.php?ssid=8429 | E836 | |
| 836a | A Level | Determine the expected value of a discrete uniform distribution. | drfrost.org/explorer.php?ssid=8430 | ||
| 836b | A Level | Determine the variance of a discrete uniform distribution. | drfrost.org/explorer.php?ssid=8431 | ||
| 836c | A Level | Determine the number of outcomes in a discrete uniform distribution given the variance. | drfrost.org/explorer.php?ssid=8432 | ||
| 836d | A Level | Derive the formulae for the expected value and variance of a discrete uniform distribution. | drfrost.org/explorer.php?ssid=8433 | ||
| 837 | A Level | Exam Practice: Bernoulli distribution | drfrost.org/explorer.php?ssid=4493 | E837 | |
| 837a | A Level | Model a single trial as a Bernoulli distribution. | drfrost.org/explorer.php?ssid=7668 | ||
| 837b | A Level | Use the formulae for the mean and variance of a Bernoulli distribution. | drfrost.org/explorer.php?ssid=7669 | ||
| 837c | A Level | Derive the formulae for the mean and variance of a Bernoulli distribution. | drfrost.org/explorer.php?ssid=7670 | ||
| 838 | A Level | Exam Practice: Linear combinations of random variables | drfrost.org/explorer.php?ssid=4494 | E838 | |
| 838a | A Level | Determine the distribution of kX or X + k where X is a discrete random variable. | drfrost.org/explorer.php?ssid=7671 | ||
| 838b | A Level | Determine the distribution of X + Y where X and Y are discrete random variables (no p.g.f.s) | drfrost.org/explorer.php?ssid=7672 | ||
| 838c | A Level | Determine the distribution of X - Y where X and Y are discrete random variables (no p.g.f.s) | drfrost.org/explorer.php?ssid=7673 | ||
| 839 | A Level | Exam Practice: Coding with discrete random variables | drfrost.org/explorer.php?ssid=4495 | E839 | |
| 839a | A Level | Determine E(aX + B) given E(X) | drfrost.org/explorer.php?ssid=7674 | ||
| 839b | A Level | Determine Var(aX + B) given E(X) and E(X^2) | drfrost.org/explorer.php?ssid=7675 | ||
| 839c | A Level | Determine Var(aX + B) given Var(X) | drfrost.org/explorer.php?ssid=7676 | ||
| 839d | A Level | Determine the probability of an inequality using a mixture of the original and coded variable. | drfrost.org/explorer.php?ssid=7677 | ||
| 840 | A Level | Exam Practice: Poisson distribution | drfrost.org/explorer.php?ssid=306 | E840 | |
| 840a | A Level | Understand the conditions for which a Poisson distribution would be a good model for a given context. | drfrost.org/explorer.php?ssid=7678 | ||
| 840b | A Level | Determine the probability of a given number of events occurring in a period, with no context. | drfrost.org/explorer.php?ssid=1490 | K960 | |
| 840c | A Level | Determine the probability of a range of events occurring in a period, with no context. | drfrost.org/explorer.php?ssid=7679 | ||
| 840d | A Level | Determine the probability of a given number of events occurring in a period, in context. | drfrost.org/explorer.php?ssid=1491 | K961 | |
| 840e | A Level | Determine the probability of a given number of events occurring in a period, where the rate requires scaling. | drfrost.org/explorer.php?ssid=7680 | ||
| 840f | A Level | Determine the probability of a range for a Poisson distribution, in context. | drfrost.org/explorer.php?ssid=7681 | ||
| 840g | A Level | Determine the probability of a range for a Poisson distribution where the rate requires scaling. | drfrost.org/explorer.php?ssid=7682 | ||
| 840h | A Level | Determine the probability of a two-ended range for a Poisson distribution, in context. | drfrost.org/explorer.php?ssid=7683 | ||
| 840i | A Level | Determine the probability of a given number of events occurring in a period for multiple successive periods with the same condition. | drfrost.org/explorer.php?ssid=7684 | ||
| 840j | A Level | Determine the probability of a given number of events occurring in a period for multiple successive periods with different conditions. | drfrost.org/explorer.php?ssid=7685 | ||
| 840k | A Level | Determine the probability of a fixed number of events occurring, for physical quantities other than time. | drfrost.org/explorer.php?ssid=7686 | ||
| 840l | A Level | Determine the probability of a range of events occurring, for physical quantities other than time. | drfrost.org/explorer.php?ssid=7687 | ||
| 840m | A Level | Use a probability from a Poisson distribution within a binomial model. | drfrost.org/explorer.php?ssid=7688 | ||
| 840n | A Level | Determine the n such that P(X>n) < k for a Poisson distribution. | drfrost.org/explorer.php?ssid=7689 | ||
| 840o | A Level | Determine a rate that would lead to a given probability of a given number of events occurring. | drfrost.org/explorer.php?ssid=7690 | ||
| 840p | A Level | Determine a rate that would lead to a given probability of at least one event occurring. | drfrost.org/explorer.php?ssid=7691 | ||
| 840q | A Level | Solve problems involving the variance and expected value of a Poisson distribution. | drfrost.org/explorer.php?ssid=7692 | ||
| 840r | A Level | Determine a conditional probability involving the Poisson distribution. | drfrost.org/explorer.php?ssid=8649 | ||
| 841 | A Level | Exam Practice: Sum of Poisson distributed random variables | drfrost.org/explorer.php?ssid=4496 | E841 | |
| 841a | A Level | Determine the distribution of X + Y where X and Y are Poisson distributed random variables. | drfrost.org/explorer.php?ssid=7693 | ||
| 841b | A Level | Calculate a probability in context using the sum of Poisson distributed variables. | drfrost.org/explorer.php?ssid=7694 | ||
| 842 | A Level | Exam Practice: Approximations involving the Poisson distribution | drfrost.org/explorer.php?ssid=307 | E842 | |
| 842a | A Level | Approximate the probability of a range of a Poisson distribution using a Normal distribution. | drfrost.org/explorer.php?ssid=7695 | ||
| 842b | A Level | Use a Poisson approximation of a binomial where each event is a number of events occurring in a given period. | drfrost.org/explorer.php?ssid=7696 | ||
| 843 | A Level | Exam Practice: Geometric distributions | drfrost.org/explorer.php?ssid=474 | E843 | |
| 843a | A Level | Understand the conditions for which a geometric distribution would be a good model for a given context. | drfrost.org/explorer.php?ssid=7697 | ||
| 843b | A Level | Determine a probability of a specific value for a geometric distribution, in context. | drfrost.org/explorer.php?ssid=1484 | K955 | |
| 843c | A Level | Determine the probability of a range for a geometric distribution, in context. | drfrost.org/explorer.php?ssid=7698 | ||
| 843d | A Level | Determine the probability of a two-ended range for a geometric distribution, in context. | drfrost.org/explorer.php?ssid=7699 | ||
| 843e | A Level | Determine E(X) for a geometric distribution. | drfrost.org/explorer.php?ssid=1485 | K956 | |
| 843f | A Level | Determine Var(X) for a geometric distribution. | drfrost.org/explorer.php?ssid=2342 | ||
| 843g | A Level | Determine E(X^2) for a geometric distribution. | drfrost.org/explorer.php?ssid=7700 | ||
| 843h | A Level | Determine E(f(X)) for a geometric distribution for a more general function, and use to conclude on the optimum strategy. | drfrost.org/explorer.php?ssid=7701 | ||
| 844 | A Level | Exam Practice: Hypergeometric distributions | drfrost.org/explorer.php?ssid=4497 | E844 | |
| 844a | A Level | Determine the probability of matching k numbers on a lottery ticket of n numbers, where there are N numbers to choose from without replacement and n numbers to compare against. | drfrost.org/explorer.php?ssid=7702 | ||
| 844b | A Level | Use the hypergeometric distribution more generally where the number of success states in the population K may not necessarily the same as the number of draws n. | drfrost.org/explorer.php?ssid=7703 | ||
| 845 | A Level | Exam Practice: Negative binomial distributions | drfrost.org/explorer.php?ssid=475 | E845 | |
| 845a | A Level | Determine the probability of a specific outcome for the negative binomial distribution. | drfrost.org/explorer.php?ssid=1486 | K957 | |
| 845b | A Level | Determine the conditional probability of a specific outcome for the negative binomial distribution. | drfrost.org/explorer.php?ssid=7704 | ||
| 845c | A Level | Determine E(X) for a negative binomial distribution. | drfrost.org/explorer.php?ssid=1487 | K958 | |
| 845d | A Level | Determine Var(X) or \sigma for a negative binomial distribution. | drfrost.org/explorer.php?ssid=7705 | ||
| 845e | A Level | Determine Var(X) from E(X) or vice versa for a negative binomial distribution. | drfrost.org/explorer.php?ssid=7706 | ||
| 846 | A Level | Exam Practice: Exponential distributions | drfrost.org/explorer.php?ssid=4498 | E846 | |
| 846a | A Level | Understand the conditions for which an exponential distribution would be a good model for a given context. | drfrost.org/explorer.php?ssid=7707 | ||
| 846b | A Level | Calculate the probability of a range using an exponential distribution. | drfrost.org/explorer.php?ssid=7708 | ||
| 846c | A Level | Use the expected value of an exponential distribution to calculate a probability. | drfrost.org/explorer.php?ssid=7709 | ||
| 846d | A Level | Determine the variance or standard deviation for an exponential distribution in context. | drfrost.org/explorer.php?ssid=7710 | ||
| 846e | A Level | Determine the median, a quartile, a percentile or the interquartile range of an exponential distribution. | drfrost.org/explorer.php?ssid=8382 | ||
| 846f | A Level | Calculate a condition probability using an exponential distribution. | drfrost.org/explorer.php?ssid=8383 | ||
| 846g | A Level | Know proofs for the mean and variance of an exponential distribution. | drfrost.org/explorer.php?ssid=7711 | ||
| 847 | A Level | Exam Practice: Chebyshev's inequality | drfrost.org/explorer.php?ssid=4499 | E847 | |
| 847a | A Level | Use Chebyshev's inequality to calculate an upper bound for a randomly chosen value deviating a given number of standard deviations from the mean. | drfrost.org/explorer.php?ssid=7712 | ||
| 847b | A Level | Compare the bound from Chebyshev's inequality to the actual probability from a normal distribution. | drfrost.org/explorer.php?ssid=7713 | ||
| 847c | A Level | Compare the bound from Chebyshev's inequality to the actual probability from a binomial distribution. | drfrost.org/explorer.php?ssid=7714 | ||
| 847d | A Level | Compare the bound from Chebyshev's inequality to the actual probability from a Poisson distribution. | drfrost.org/explorer.php?ssid=7715 | ||
| 848 | A Level | Exam Practice: Hypothesis tests for the Poisson distribution | drfrost.org/explorer.php?ssid=318 | E848 | |
| 848a | A Level | Conduct a one-tailed test on \lambda for a Poisson distribution. | drfrost.org/explorer.php?ssid=1492 | K962 | |
| 848b | A Level | Conduct a two-tailed test on \lambda for a Poisson distribution. | drfrost.org/explorer.php?ssid=1493 | K963 | |
| 848c | A Level | Determine the critical region for a one-tailed hypothesis test on a Poisson distribution. | drfrost.org/explorer.php?ssid=7716 | ||
| 848d | A Level | Determine the critical region for a two-tailed hypothesis test on a Poisson distribution. | drfrost.org/explorer.php?ssid=7717 | ||
| 848e | A Level | Determine the actual significance level for a hypothesis test on a Poisson distribution. | drfrost.org/explorer.php?ssid=7718 | ||
| 849 | A Level | Exam Practice: Hypothesis tests for the geometric distribution | drfrost.org/explorer.php?ssid=4500 | E849 | |
| 849a | A Level | Conduct a test on p for a geometric distribution. | drfrost.org/explorer.php?ssid=7719 | ||
| 849b | A Level | Determine the critical region for a hypothesis test on a geometric distribution. | drfrost.org/explorer.php?ssid=7720 | ||
| 849c | A Level | Determine the actual significance level for a hypothesis test on a geometric distribution. | drfrost.org/explorer.php?ssid=7721 | ||
| 850 | A Level | Exam Practice: Central Limit Theorem for sample mean | drfrost.org/explorer.php?ssid=4501 | E850 | |
| 850a | A Level | Use the Central Limit Theorem to determine the exact or approximate distribution of the sample mean \bar{X}, and understand the conditions for using it. | drfrost.org/explorer.php?ssid=7722 | ||
| 850b | A Level | Use the Central Limit Theorem to calculate a probability involving a sample mean, where the population distribution is normal. | drfrost.org/explorer.php?ssid=1494 | K964 | |
| 850c | A Level | Use the Central Limit Theorem to calculate a probability involving a sample mean, where the population distribution is binomial. | drfrost.org/explorer.php?ssid=7723 | ||
| 850d | A Level | Use the Central Limit Theorem to calculate a probability involving a sample mean, where the population distribution is Poisson. | drfrost.org/explorer.php?ssid=7724 | ||
| 850e | A Level | Use the Central Limit Theorem to calculate a probability involving a sample mean, where the population has a discrete uniform distribution. | drfrost.org/explorer.php?ssid=8650 | ||
| 850f | A Level | Use the Central Limit Theorem to calculate a probability involving a sample mean, where the population distribution is geometric. | drfrost.org/explorer.php?ssid=7725 | ||
| 851 | A Level | Exam Practice: Goodness of fit tests | drfrost.org/explorer.php?ssid=470 | E851 | |
| 851a | A Level | Make a common sense judgement on whether a probabilistic model would be a good fit for observed frequencies. | drfrost.org/explorer.php?ssid=7726 | ||
| 851b | A Level | Determine the test statistic X^2 between observed frequencies with given expected frequencies. | drfrost.org/explorer.php?ssid=7727 | ||
| 851c | A Level | Determine expected frequencies for a \chi^2 test given the probability distribution and number of trials. | drfrost.org/explorer.php?ssid=7728 | ||
| 851d | A Level | Determine the test statistic X^2 using observed frequencies and a given probability distribution. | drfrost.org/explorer.php?ssid=7729 | ||
| 851e | A Level | Conduct a goodness of fit test given the observed and expected frequencies, where grouping of outcomes is not required. | drfrost.org/explorer.php?ssid=7730 | ||
| 851f | A Level | Conduct a goodness of fit test given the observed and expected frequencies, where grouping of outcomes is required. | drfrost.org/explorer.php?ssid=7731 | ||
| 851g | A Level | Conduct a goodness of fit test given the observed frequencies and an arbitrary probability distribution. | drfrost.org/explorer.php?ssid=7732 | ||
| 851h | A Level | Conduct a \chi^2 test against a uniform distribution. | drfrost.org/explorer.php?ssid=7733 | ||
| 851i | A Level | Determine an expected frequency for a binomial \chi^2 test where p is given. | drfrost.org/explorer.php?ssid=7734 | ||
| 851j | A Level | Conduct a \chi^2 test against a binomial model where p is given. | drfrost.org/explorer.php?ssid=7735 | ||
| 851k | A Level | Estimate the p for a binomial model given observed frequencies. | drfrost.org/explorer.php?ssid=7736 | ||
| 851l | A Level | State the number of degrees of freedom for a binomial \chi^2 test, where p may have or may not have been calculated. | drfrost.org/explorer.php?ssid=7737 | ||
| 851m | A Level | Determine an expected frequency for a binomial \chi^2 test where p must be calculated. | drfrost.org/explorer.php?ssid=7738 | ||
| 851n | A Level | Conduct a \chi^2 test against a binomial model where p is not given. | drfrost.org/explorer.php?ssid=7739 | ||
| 851o | A Level | Determine an expected frequency for a Poisson \chi^2 test where \lambda must be calculated. | drfrost.org/explorer.php?ssid=7740 | ||
| 851p | A Level | Conduct a \chi^2 test against a Poisson model where \lambda is given. | drfrost.org/explorer.php?ssid=7741 | ||
| 851q | A Level | Conduct a \chi^2 test against a Poisson model where \lambda must be calculated. | drfrost.org/explorer.php?ssid=7742 | ||
| 851r | A Level | Determine an expected frequency for a geometric \chi^2 test. | drfrost.org/explorer.php?ssid=7743 | ||
| 851s | A Level | Estimate the p for a geometric model given observed frequencies. | drfrost.org/explorer.php?ssid=7744 | ||
| 851t | A Level | Conduct a \chi^2 test against a geometric model. | drfrost.org/explorer.php?ssid=7745 | ||
| 852 | A Level | Exam Practice: Normal probability plots and Kolmogorov-Smirnov tests | drfrost.org/explorer.php?ssid=4502 | E852 | |
| 852a | A Level | Interpret individual points plotted on a normal probability plot. | drfrost.org/explorer.php?ssid=7746 | ||
| 852b | A Level | Recognise the shape of data on a normal probability plot for a normal distribution, a left or right skewed distribution, and a uniform distribution. | drfrost.org/explorer.php?ssid=7747 | ||
| 852c | A Level | Interpret the p-value from a Kolmogorov-Smirnov test for goodness of fit of a normal distribution. | drfrost.org/explorer.php?ssid=7748 | ||
| 853 | A Level | Exam Practice: Hypothesis testing with contingency tables (two-way tables) | drfrost.org/explorer.php?ssid=471 | E853 | |
| 853a | A Level | Make a common sense judgement on whether there is an association between two variables, given a contingency table (two-way table). | drfrost.org/explorer.php?ssid=7749 | ||
| 853b | A Level | Calculate the expected frequencies for a contingency table (two-way table). | drfrost.org/explorer.php?ssid=7750 | ||
| 853c | A Level | State the degrees of freedom for a contingency table (two-way table). | drfrost.org/explorer.php?ssid=7751 | ||
| 853d | A Level | Calculate the test statistic X^2 for a contingency table (two-way table). | drfrost.org/explorer.php?ssid=7752 | ||
| 853e | A Level | Conduct a test to determine whether there is an association between two variables, using a contingency table (two-way table). | drfrost.org/explorer.php?ssid=7753 | ||
| 853f | A Level | Conduct a test on a 2\times2 contingency table (two-way table) by using a Yate's correction. | drfrost.org/explorer.php?ssid=7754 | ||
| 854 | A Level | Exam Practice: Reliability and validity tests | drfrost.org/explorer.php?ssid=4503 | E854 | |
| 854a | A Level | Distinguish between content and criterion validity for a variable. | drfrost.org/explorer.php?ssid=7755 | ||
| 854b | A Level | Comment on the content validity of a test. | drfrost.org/explorer.php?ssid=7756 | ||
| 854c | A Level | Identify the criterion and predictor variables. | drfrost.org/explorer.php?ssid=7757 | ||
| 854d | A Level | Comment on the criterion validity of the predictor variable. | drfrost.org/explorer.php?ssid=7758 | ||
| 854e | A Level | Distinguish between test-retest and parallel forms reliability in a described scenario. | drfrost.org/explorer.php?ssid=7759 | ||
| 854f | A Level | List the factors that would ensure measurements are reliable. | drfrost.org/explorer.php?ssid=7760 | ||
| 854g | A Level | Comment on the reliability of a test. | drfrost.org/explorer.php?ssid=7761 | ||
| 855 | A Level | Exam Practice: Probability generating functions | drfrost.org/explorer.php?ssid=472 | E855 | |
| 855a | A Level | Determine the probability generating function from a probability distribution. | drfrost.org/explorer.php?ssid=7762 | ||
| 855b | A Level | Determine a probability p(x) from a probability generating function. | drfrost.org/explorer.php?ssid=7763 | ||
| 855c | A Level | Determine an unknown constant in a probability generating function. | drfrost.org/explorer.php?ssid=7764 | ||
| 855d | A Level | Determine the probability generating function of a binomial distribution. | drfrost.org/explorer.php?ssid=7765 | ||
| 855e | A Level | Determine the probability generating function of a Poisson distribution. | drfrost.org/explorer.php?ssid=7766 | ||
| 855f | A Level | Determine the probability generating function of a geometric distribution. | drfrost.org/explorer.php?ssid=7767 | ||
| 855g | A Level | Determine the probability generating function of a negative binomial distribution. | drfrost.org/explorer.php?ssid=7768 | ||
| 855h | A Level | Use basic probability to find the distribution of the sum of two random variables X + Y | drfrost.org/explorer.php?ssid=7769 | ||
| 855i | A Level | Use probability generating functions to find the distribution of the sum of two random variables X + Y | drfrost.org/explorer.php?ssid=7770 | ||
| 855j | A Level | Calculate E(X) using a probability generating function. | drfrost.org/explorer.php?ssid=7771 | ||
| 855k | A Level | Calculate Var(X) using a probability generating function. | drfrost.org/explorer.php?ssid=7772 | ||
| 855l | A Level | Determine unknown constants in a probability generating function given E(X) and Var(X) | drfrost.org/explorer.php?ssid=7773 | ||
| 855m | A Level | Determine the probability generating function given a transformation of a random variable aX + b | drfrost.org/explorer.php?ssid=7774 | ||
| 856 | A Level | Exam Practice: Moment generating functions | drfrost.org/explorer.php?ssid=4504 | E856 | |
| 856a | A Level | Determine the moment generating function from a discrete probability distribution. | drfrost.org/explorer.php?ssid=7775 | ||
| 856b | A Level | Determine the moment generating function from a continuous probability distribution using its probability density function. | drfrost.org/explorer.php?ssid=7776 | ||
| 856c | A Level | Calculate E(X) for a discrete random variable using a moment generating function. | drfrost.org/explorer.php?ssid=7777 | ||
| 856d | A Level | Calculate E(X) for a continuous random variable using a moment generating function. | drfrost.org/explorer.php?ssid=7778 | ||
| 856e | A Level | Calculate Var(X) for a discrete random variable using a moment generating function. | drfrost.org/explorer.php?ssid=7779 | ||
| 856f | A Level | Calculate Var(X) for a continuous random variable using a moment generating function. | drfrost.org/explorer.php?ssid=7780 | ||
| 856g | A Level | Determine the moment generating function of the sum of two random variables X + Y | drfrost.org/explorer.php?ssid=7781 | ||
| 857 | A Level | Exam Practice: Type I and II errors, Power and Size of tests | drfrost.org/explorer.php?ssid=473 | E857 | |
| 857a | A Level | Distinguish between Type I and Type II errors. | drfrost.org/explorer.php?ssid=7782 | ||
| 857b | A Level | Determine the probability of a Type I error for a binomial model with one-tailed critical region. | drfrost.org/explorer.php?ssid=7783 | ||
| 857c | A Level | Determine the probability of a Type II error for a binomial model, given the true value of p, with one-tailed critical region. | drfrost.org/explorer.php?ssid=7784 | ||
| 857d | A Level | Determine the probability of a Type I error for a Poisson model, with one-tailed critical region. | drfrost.org/explorer.php?ssid=7785 | ||
| 857e | A Level | Determine the probability of a Type II error for a Poisson model, given the true value of \lambda, with one-tailed critical region. | drfrost.org/explorer.php?ssid=7786 | ||
| 857f | A Level | Determine the probability of a Type I error for a binomial model with two-tailed critical region. | drfrost.org/explorer.php?ssid=7787 | ||
| 857g | A Level | Determine the probability of a Type II error for a binomial model, given the true value of p, with two-tailed critical region. | drfrost.org/explorer.php?ssid=7788 | ||
| 857h | A Level | Determine the probability of a Type I error for a Poisson model, with two-tailed critical region. | drfrost.org/explorer.php?ssid=7789 | ||
| 857i | A Level | Determine the probability of a Type II error for a Poisson model, given the true value of \lambda, with two-tailed critical region. | drfrost.org/explorer.php?ssid=7790 | ||
| 857j | A Level | Determine the probability of a Type I error for a geometric model. | drfrost.org/explorer.php?ssid=7791 | ||
| 857k | A Level | Determine the probability of a Type II error for a geometric model, given the true value of p | drfrost.org/explorer.php?ssid=7792 | ||
| 857l | A Level | Determine the probability of a Type I error for a normally distributed model. | drfrost.org/explorer.php?ssid=7793 | ||
| 857m | A Level | Determine the probability of a Type II error for a normally distributed model, given the true value of \mu | drfrost.org/explorer.php?ssid=7794 | ||
| 857n | A Level | Calculate the power of a test. | drfrost.org/explorer.php?ssid=7795 | ||
| 857o | A Level | Calculate the size of a test. | drfrost.org/explorer.php?ssid=7796 | ||
| 857p | A Level | Reason about the power function of a test. | drfrost.org/explorer.php?ssid=7797 | ||
| 857q | A Level | Determine the power function of a test. | drfrost.org/explorer.php?ssid=7798 | ||
| 858 | A Level | Exam Practice: Equations of least squares regression line for linear data | drfrost.org/explorer.php?ssid=320 | E858 | |
| 858a | A Level | Determine summary statistics S_{xx}, S_{xy} and S_{yy} from bivariate data. | drfrost.org/explorer.php?ssid=7799 | ||
| 858b | A Level | Determine the equation of the least squares regression line. | drfrost.org/explorer.php?ssid=7800 | ||
| 858c | A Level | Determine the equation of the least squares regression line using coding. | drfrost.org/explorer.php?ssid=7801 | ||
| 858d | A Level | Calculate the residuals for a given regression line. | drfrost.org/explorer.php?ssid=7802 | ||
| 859 | A Level | Exam Practice: Residual sum of squares (RSS or \mathrm{SS}_{\mathrm{res}}) | drfrost.org/explorer.php?ssid=321 | E859 | |
| 859a | A Level | Calculate the residual sum of squares. | drfrost.org/explorer.php?ssid=7803 | ||
| 859b | A Level | Comment on the suitability of linear regression models by comparing residual sums of squares. | drfrost.org/explorer.php?ssid=7804 | ||
| 860 | A Level | Exam Practice: Regression with non-linear functions | drfrost.org/explorer.php?ssid=4505 | E860 | |
| 860a | A Level | Determine the equation of a quadratic regression line y = ax^2 + bx + c using a calculator. | drfrost.org/explorer.php?ssid=7805 | ||
| 860b | A Level | Determine the equation of a cubic regression line y = ax^3 + bx^2 + cx + d using a calculator. | drfrost.org/explorer.php?ssid=7806 | ||
| 860c | A Level | Determine the equation of a trigonometric regression line y = a\sin(bx + c) + d using a calculator. | drfrost.org/explorer.php?ssid=7807 | ||
| 860d | A Level | Determine the equation of a logarithmic regression line y = a + b \ln x using a calculator. | drfrost.org/explorer.php?ssid=7808 | ||
| 860e | A Level | Use a non-linear regression line to predict a value in a model. | drfrost.org/explorer.php?ssid=7809 | ||
| 861 | A Level | Exam Practice: Coefficient of determination (R^2) | drfrost.org/explorer.php?ssid=4506 | E861 | |
| 861a | A Level | Interpret a coefficient of determination R^2 for a given context. | drfrost.org/explorer.php?ssid=7810 | ||
| 861b | A Level | Calculate the coefficient of determination R^2 for a data set, | drfrost.org/explorer.php?ssid=7811 | ||
| 862 | A Level | Exam Practice: Probability density functions and areas under their graphs | drfrost.org/explorer.php?ssid=311 | E862 | |
| 862a | A Level | Sketch a probability density function. | drfrost.org/explorer.php?ssid=7812 | ||
| 862b | A Level | Write a probability density function from its sketch. | drfrost.org/explorer.php?ssid=7813 | ||
| 862c | A Level | Determine a constant in a probability density function with a single interval. | drfrost.org/explorer.php?ssid=7814 | ||
| 862d | A Level | Determine a constant in a probability density function with multiple intervals. | drfrost.org/explorer.php?ssid=7815 | ||
| 862e | A Level | Determine the probability mass for a range P(a < X < b) across a single interval. | drfrost.org/explorer.php?ssid=7816 | ||
| 862f | A Level | Determine the probability mass for a range P(a < X < b) across multiple intervals. | drfrost.org/explorer.php?ssid=7817 | ||
| 863 | A Level | Exam Practice: Cumulative distribution functions for continuous random variables | drfrost.org/explorer.php?ssid=312 | E863 | |
| 863a | A Level | Determine F(x) for a probability density function with a single interval. | drfrost.org/explorer.php?ssid=7818 | ||
| 863b | A Level | Determine F(x) for a probability density function with multiple intervals. | drfrost.org/explorer.php?ssid=7819 | ||
| 863c | A Level | Determine a probability P(X > k) or P(X < k) using F(k) | drfrost.org/explorer.php?ssid=7820 | ||
| 863d | A Level | Determine a probability P(a < X < b) using F(k) | drfrost.org/explorer.php?ssid=7821 | ||
| 863e | A Level | Determine the probability density function f(x) from F(x) | drfrost.org/explorer.php?ssid=7822 | ||
| 863f | A Level | Determine two unknown constants in a cumulative density function. | drfrost.org/explorer.php?ssid=7823 | ||
| 863g | A Level | Use a probability obtained from a cumulative distribution function within a binomial distribution. | drfrost.org/explorer.php?ssid=7824 | ||
| 863h | A Level | Determine the cumulative distribution function of related variables, i.e. g(X) for some function g. | drfrost.org/explorer.php?ssid=7825 | ||
| 864 | A Level | Exam Practice: Mean and variance of continuous random variables | drfrost.org/explorer.php?ssid=313 | E864 | |
| 864a | A Level | State E(X) for a symmetric probability density function. | drfrost.org/explorer.php?ssid=7826 | ||
| 864b | A Level | Determine E(X) using a probability density function with a single interval. | drfrost.org/explorer.php?ssid=7827 | ||
| 864c | A Level | Determine an unknown constant in a probability density function given E(X) | drfrost.org/explorer.php?ssid=7828 | ||
| 864d | A Level | Determine Var(X) using a probability density function with a single interval. | drfrost.org/explorer.php?ssid=7829 | ||
| 864e | A Level | Determine E(aX + b) using a probability density function. | drfrost.org/explorer.php?ssid=7830 | ||
| 864f | A Level | Determine Var(aX + b) using a probability density function. | drfrost.org/explorer.php?ssid=7831 | ||
| 864g | A Level | Determine E(X) using a probability density function with multiple intervals. | drfrost.org/explorer.php?ssid=7832 | ||
| 864h | A Level | Determine Var(X) using a probability density function with multiple intervals. | drfrost.org/explorer.php?ssid=7833 | ||
| 864i | A Level | Determine E(X^2) using a probability density function. | drfrost.org/explorer.php?ssid=7834 | ||
| 864j | A Level | Determine E(g(X)) for a continuous random variable X where g(X) is an arbitrary function. | drfrost.org/explorer.php?ssid=7835 | ||
| 865 | A Level | Exam Practice: Mode, median and percentiles of continuous random variables | drfrost.org/explorer.php?ssid=314 | E865 | |
| 865a | A Level | Determine the mode of a continuous random variable. | drfrost.org/explorer.php?ssid=7836 | ||
| 865b | A Level | Determine the median of a continuous random variable using the cumulative density function. | drfrost.org/explorer.php?ssid=7837 | ||
| 865c | A Level | Determine the median of a continuous random variable using the probability density function. | drfrost.org/explorer.php?ssid=7838 | ||
| 865d | A Level | Determine the lower or upper quartile of a continuous random variable using the cumulative density function. | drfrost.org/explorer.php?ssid=7839 | ||
| 865e | A Level | Determine the lower or upper quartile of a continuous random variable using the probability density function. | drfrost.org/explorer.php?ssid=7840 | ||
| 865f | A Level | Determine the interquartile range of a continuous random variable using the cumulative density function. | drfrost.org/explorer.php?ssid=7841 | ||
| 865g | A Level | Determine a percentile of a continuous random variable using the cumulative density function. | drfrost.org/explorer.php?ssid=7842 | ||
| 865h | A Level | Determine with a continuous random variable is positively or negative skewed from a sketch of its probability density function. | drfrost.org/explorer.php?ssid=7843 | ||
| 866 | A Level | Exam Practice: Continuous uniform (rectangular) distribution | drfrost.org/explorer.php?ssid=315 | E866 | |
| 866a | A Level | Choose from a normal, binomial, Poisson, geometric or continuous uniform distribution to best model a given context. | drfrost.org/explorer.php?ssid=7844 | ||
| 866b | A Level | State the probability density function of a rectangular distribution. | drfrost.org/explorer.php?ssid=7845 | ||
| 866c | A Level | Determine the probability of a range for a rectangular distribution, not in context. | drfrost.org/explorer.php?ssid=7846 | ||
| 866d | A Level | Determine the probability of a range for a rectangular distribution, in context. | drfrost.org/explorer.php?ssid=7847 | ||
| 866e | A Level | Calculate a conditional probability using a rectangular distribution. | drfrost.org/explorer.php?ssid=7848 | ||
| 866f | A Level | Determine E(X) for a rectangular distribution. | drfrost.org/explorer.php?ssid=7849 | ||
| 866g | A Level | Determine Var(X) for a rectangular distribution. | drfrost.org/explorer.php?ssid=7850 | ||
| 866h | A Level | Determine Var(aX + b) for a rectangular distribution. | drfrost.org/explorer.php?ssid=7851 | ||
| 866i | A Level | Determine E(X^2) for a rectangular distribution. | drfrost.org/explorer.php?ssid=7852 | ||
| 866j | A Level | Determine the bounds of a rectangular distribution given E(X) and Var(X). | drfrost.org/explorer.php?ssid=7853 | ||
| 866k | A Level | Determine the bounds of a rectangular distribution given E(X) and the probability of a range. | drfrost.org/explorer.php?ssid=7854 | ||
| 866l | A Level | State the cumulative density function for a rectangular distribution. | drfrost.org/explorer.php?ssid=7855 | ||
| 866m | A Level | Calculate the probability the multiple samples from a rectangular distribution are in a given range. | drfrost.org/explorer.php?ssid=7856 | ||
| 866n | A Level | Use a probability from a rectangular distribution in a binomial distribution. | drfrost.org/explorer.php?ssid=7857 | ||
| 866o | A Level | Solve problems for a rectangular distribution involving the shortest or longest value for multiple samples. | drfrost.org/explorer.php?ssid=7858 | ||
| 866p | A Level | Solve problems involving a chain of outcomes including use of a rectangular distribution. | drfrost.org/explorer.php?ssid=7859 | ||
| 866q | A Level | Solve problems involving the longest or shortest side of a rectangle using a rectangular distribution. | drfrost.org/explorer.php?ssid=7860 | ||
| 866r | A Level | Determine the range of values of a unknown constant within the frequencies of a random sample, when testing the goodness of fit of a rectangular distribution. | drfrost.org/explorer.php?ssid=7861 | ||
| 867 | A Level | Exam Practice: Linear combinations of normal random variables | drfrost.org/explorer.php?ssid=502 | E867 | |
| 867a | A Level | Determine E(X \pm Y) given E(X) and E(Y) | drfrost.org/explorer.php?ssid=7862 | ||
| 867b | A Level | Determine Var(X \pm Y) given Var(X) and Var(Y) | drfrost.org/explorer.php?ssid=7863 | ||
| 867c | A Level | Determine E(X \pm Y) given normal distributions X and Y | drfrost.org/explorer.php?ssid=7864 | ||
| 867d | A Level | Determine Var(X \pm Y) given normal distributions X and Y | drfrost.org/explorer.php?ssid=7865 | ||
| 867e | A Level | Determine E(aX \pm bY) given E(X) and E(Y) | drfrost.org/explorer.php?ssid=7866 | ||
| 867f | A Level | Determine Var(aX \pm bY) given Var(X) and Var(Y) | drfrost.org/explorer.php?ssid=7867 | ||
| 867g | A Level | Determine a normal distribution that is the linear sum of other normal distributions. | drfrost.org/explorer.php?ssid=7868 | ||
| 867h | A Level | Determine a normal distribution, in context, that is the sum of identically distributed normal distributions, and distinguish between Var(nX) and Var(X_1 + ... + X_n) | drfrost.org/explorer.php?ssid=7869 | ||
| 867i | A Level | Determine the probability P(A > B) given two normally distributed random variables. | drfrost.org/explorer.php?ssid=7870 | ||
| 867j | A Level | Determine in context the probability P(mA > nB) given two normally distributed random variables. | drfrost.org/explorer.php?ssid=7871 | ||
| 867k | A Level | Determine the probability P(\left|A \pm B\right| < k) given two normally distributed random variables. | drfrost.org/explorer.php?ssid=7872 | ||
| 868 | A Level | Exam Practice: Central Limit Theorem for sums of identically distributed variables | drfrost.org/explorer.php?ssid=4507 | E868 | |
| 868a | A Level | Use the Central Limit Theorem to estimate the sum of a large number of identically distributed variables, including Bernoulli trials. | drfrost.org/explorer.php?ssid=7873 | ||
| 869 | A Level | Exam Practice: General sampling distributions | drfrost.org/explorer.php?ssid=4508 | E869 | |
| 869a | A Level | List all possible samples given a chosen statistic. | drfrost.org/explorer.php?ssid=7874 | ||
| 869b | A Level | Understand what a sampling distribution is and determine its possible outcomes. | drfrost.org/explorer.php?ssid=7875 | ||
| 869c | A Level | Determine the sampling distribution where the statistic is the mode. | drfrost.org/explorer.php?ssid=7876 | ||
| 869d | A Level | Determine the sampling distribution where the statistic is the minimum or maximum value. | drfrost.org/explorer.php?ssid=7877 | ||
| 869e | A Level | Determine the sampling distribution where the statistic is the range. | drfrost.org/explorer.php?ssid=7878 | ||
| 869f | A Level | Determine the sampling distribution where the statistic is the median. | drfrost.org/explorer.php?ssid=7879 | ||
| 869g | A Level | Determine the sampling distribution for a small sample where the statistic is the mean. | drfrost.org/explorer.php?ssid=7880 | ||
| 869h | A Level | Determine the variance or mean of a sampling distribution. | drfrost.org/explorer.php?ssid=7881 | ||
| 870 | A Level | Exam Practice: Standard error | drfrost.org/explorer.php?ssid=4509 | E870 | |
| 870a | A Level | Know the definition of standard error and understand why it is useful. | drfrost.org/explorer.php?ssid=7882 | ||
| 870b | A Level | Calculate the standard error of the mean (SEM). | drfrost.org/explorer.php?ssid=7883 | ||
| 870c | A Level | Calculate the standard error of a sampling distribution for a statistic where the population distribution is known. | drfrost.org/explorer.php?ssid=7884 | ||
| 871 | A Level | Exam Practice: Estimators and bias | drfrost.org/explorer.php?ssid=505 | E871 | |
| 871a | A Level | Understand the terms estimator, biased estimator and unbiased estimator. | drfrost.org/explorer.php?ssid=7885 | ||
| 871b | A Level | Determine an unbiased estimator S^2 of the population variance \sigma^2 | drfrost.org/explorer.php?ssid=7886 | ||
| 871c | A Level | Calculate the bias of an estimator for a value involved in the range of a continuous uniform distribution. | drfrost.org/explorer.php?ssid=7887 | ||
| 871d | A Level | Identify an unbiased estimator a value involved in the range of a continuous uniform distribution. | drfrost.org/explorer.php?ssid=7888 | ||
| 871e | A Level | Compare estimators involved in a continuous uniform distribution. | drfrost.org/explorer.php?ssid=7889 | ||
| 871f | A Level | Calculate an updated value of s^2 given additional data points. | drfrost.org/explorer.php?ssid=7890 | ||
| 872 | A Level | Exam Practice: z-tests for the population mean | drfrost.org/explorer.php?ssid=4511 | E872 | |
| 872a | A Level | Understand the concept of z-tests and normalised test statistics, and how it compares to use of a p value. | drfrost.org/explorer.php?ssid=7901 | ||
| 872b | A Level | Conduct a z-test on the population mean. | drfrost.org/explorer.php?ssid=8668 | ||
| 873 | A Level | Exam Practice: Confidence intervals for a population mean | drfrost.org/explorer.php?ssid=504 | E873 | |
| 873a | A Level | Understand what is meant by the margin of error and calculate it for the mean \mu of a population. | drfrost.org/explorer.php?ssid=7891 | ||
| 873b | A Level | Calculate the confidence interval for the mean \mu of a population. | drfrost.org/explorer.php?ssid=7892 | ||
| 873c | A Level | Calculate the confidence interval for the mean \mu of a population for multiple groups in the sample. | drfrost.org/explorer.php?ssid=7893 | ||
| 873d | A Level | Determine the sample size that will result in a percentage confidence of a given margin of error for the population mean. | drfrost.org/explorer.php?ssid=7894 | ||
| 873e | A Level | Determine the sample size that will result in a margin of error for the population mean with a given confidence level. | drfrost.org/explorer.php?ssid=7895 | ||
| 874 | A Level | Exam Practice: z-tests for a difference of means | drfrost.org/explorer.php?ssid=503 | E874 | |
| 874a | A Level | Conduct a hypothesis test to determine evidence that \mu_A > \mu_B | drfrost.org/explorer.php?ssid=7908 | ||
| 874b | A Level | Conduct a hypothesis test to determine evidence that \mu_A > \mu_B + k | drfrost.org/explorer.php?ssid=7909 | ||
| 874c | A Level | Conduct a two-tailed hypothesis test to determine evidence that \mu_A \ne \mu_B | drfrost.org/explorer.php?ssid=7910 | ||
| 874d | A Level | Conduct a hypothesis test for the difference of means using s^2 when the sample size is large. | drfrost.org/explorer.php?ssid=7911 | ||
| 874e | A Level | Calculate the standard error for the difference of two means. | drfrost.org/explorer.php?ssid=7912 | ||
| 874f | A Level | Calculate a confidence interval for the difference of two means. | drfrost.org/explorer.php?ssid=7913 | ||
| 875 | A Level | Exam Practice: z-tests for a proportion | drfrost.org/explorer.php?ssid=4510 | E875 | |
| 875a | A Level | Calculate the normalised test statistic for a population proportion. | drfrost.org/explorer.php?ssid=7902 | ||
| 875b | A Level | Conduct a hypothesis test for a population proportion using a z-test. | drfrost.org/explorer.php?ssid=7903 | ||
| 875c | A Level | Calculate the margin of error for a population proportion. | drfrost.org/explorer.php?ssid=7896 | ||
| 875d | A Level | Calculate the confidence interval for a population proportion. | drfrost.org/explorer.php?ssid=7897 | ||
| 875e | A Level | Understand the conditions on which independence of sampling can be assumed. | drfrost.org/explorer.php?ssid=7898 | ||
| 875f | A Level | Determine the sample size that will result in a percentage confidence of a given margin of error for the population proportion. | drfrost.org/explorer.php?ssid=7899 | ||
| 875g | A Level | Determine the sample size that will result in a margin of error for the population proportion with a given confidence level. | drfrost.org/explorer.php?ssid=7900 | ||
| 876 | A Level | Exam Practice: z-tests for a difference of proportions | drfrost.org/explorer.php?ssid=4512 | E876 | |
| 876a | A Level | Understand the conditions for which we can calculate confidence intervals or conduct a hypothesis test for the difference of two proportions. | drfrost.org/explorer.php?ssid=7904 | ||
| 876b | A Level | Calculate the confidence interval for a difference of two proportions. | drfrost.org/explorer.php?ssid=7905 | ||
| 876c | A Level | Conduct a hypothesis test for the difference of population proportions using a z-test. | drfrost.org/explorer.php?ssid=7906 | ||
| 876d | A Level | Interpret a p value for a difference of population proportions. | drfrost.org/explorer.php?ssid=7907 | ||
| 877 | A Level | Exam Practice: F-distributions and hypothesis testing on the variance of a normal distribution | drfrost.org/explorer.php?ssid=506 | E877 | |
| 877a | A Level | Determine the confidence interval of the population variance given the sample. | drfrost.org/explorer.php?ssid=7914 | ||
| 877b | A Level | Determine the percentage of the confidence interval given this interval for the population variance. | drfrost.org/explorer.php?ssid=7915 | ||
| 877c | A Level | Conduct a hypothesis test for the variance of a normal distribution. | drfrost.org/explorer.php?ssid=7916 | ||
| 877d | A Level | Conduct a one-tailed F-test to test whether one normal distribution has a greater variance than another. | drfrost.org/explorer.php?ssid=7917 | ||
| 877e | A Level | Conduct a one-tailed F-test to test whether one normal distribution has a variance different to the another. | drfrost.org/explorer.php?ssid=7918 | ||
| 878 | A Level | Exam Practice: t-distribution | drfrost.org/explorer.php?ssid=507 | E878 | |
| 878a | A Level | Conduct a hypothesis test for the mean of a normal distribution with unknown variance. | drfrost.org/explorer.php?ssid=7919 | ||
| 878b | A Level | Conduct a one-tailed paired t-test whether there has been an increase or decrease in the mean. | drfrost.org/explorer.php?ssid=7920 | ||
| 878c | A Level | Conduct a two-tailed paired t-test whether there has been a change in the mean. | drfrost.org/explorer.php?ssid=7921 | ||
| 878d | A Level | Determine a confidence interval for the difference in mean between two variables. | drfrost.org/explorer.php?ssid=7922 | ||
| 878e | A Level | Conduct a hypothesis test for the difference in mean between two variables. | drfrost.org/explorer.php?ssid=7923 | ||
| 879 | A Level | Exam Practice: Analysis of variance | drfrost.org/explorer.php?ssid=8269 | https://www.youtube-nocookie.com/embed/ | E879 |
| 879a | A Level | Conduct a one-factor ANOVA to determine if there is evidence of a difference in mean between three or more groups. | drfrost.org/explorer.php?ssid=8263 | https://www.youtube-nocookie.com/embed/ | |
| 879b | A Level | Conduct a two-factor ANOVA to determine if there is evidence of a difference in mean with multiple independent variables. | drfrost.org/explorer.php?ssid=8264 | https://www.youtube-nocookie.com/embed/ | |
| 879c | A Level | Conduct a two-way analysis of difference of means without replicates, using blocking. | drfrost.org/explorer.php?ssid=8265 | https://www.youtube-nocookie.com/embed/ | |
| 879d | A Level | Identify the assumptions in conducting an ANOVA. | drfrost.org/explorer.php?ssid=8266 | https://www.youtube-nocookie.com/embed/ | |
| 880 | A Level | Exam Practice: Effect size | drfrost.org/explorer.php?ssid=8270 | https://www.youtube-nocookie.com/embed/ | E880 |
| 880a | A Level | Understand the notion of effect size on significance testing. | drfrost.org/explorer.php?ssid=8267 | https://www.youtube-nocookie.com/embed/ | |
| 880b | A Level | Calculate and interpret Cohen's d as a measure of effect size. | drfrost.org/explorer.php?ssid=8268 | https://www.youtube-nocookie.com/embed/ | |
| 881 | A Level | Exam Practice: Non-parametric tests | drfrost.org/explorer.php?ssid=4513 | E881 | |
| 881a | A Level | Recognise scenarios in which a non-parametric test would be used. | drfrost.org/explorer.php?ssid=7924 | ||
| 881b | A Level | Recognise when the sample data is a single sample, matched pairs or two independent samples, and the test we would perform for a described scenario. | drfrost.org/explorer.php?ssid=7925 | ||
| 881c | A Level | Calculate the signed rank-sums W^+ and W^- for single sample when tested against a median. | drfrost.org/explorer.php?ssid=7926 | ||
| 881d | A Level | Conduct a test on the population median for a single sample, using a Wilcoxon signed-rank test. | drfrost.org/explorer.php?ssid=7927 | ||
| 881e | A Level | Calculate the signed rank-sums W^+ and W^- for a matched pair sample. | drfrost.org/explorer.php?ssid=7928 | ||
| 881f | A Level | Conduct a test for a difference in the population median between values in a matched sample, using a Wilcoxon signed-rank test. | drfrost.org/explorer.php?ssid=7929 | ||
| 881g | A Level | Conduct a test for a difference in the population median between two independent samples, using a Wilcoxon rank-sum/Mann-Whitney U test. | drfrost.org/explorer.php?ssid=7930 | ||
| 881h | A Level | Use a normal approximation to carry out a Wilcoxon signed-rank test when the sample size is large. | drfrost.org/explorer.php?ssid=7931 | ||
| 881i | A Level | Determine the sample size n, where n is large, when the critical region for a Wilcoxon signed rank test is given. | drfrost.org/explorer.php?ssid=7932 | ||
| 881j | A Level | Estimate the significance level for a Wilcoxon signed-rank test, with a large sample size, when the critical region is given. | drfrost.org/explorer.php?ssid=7933 | ||
| 881k | A Level | Use a normal approximation to carry out a Wilcoxon rank-sum/Mann-Whitney U test when the sample size is large. | drfrost.org/explorer.php?ssid=7934 | ||
| 882 | A Level | Exam Practice: Hypothesis tests for the slope of a regression model | drfrost.org/explorer.php?ssid=4514 | E882 | |
| 882a | A Level | Calculate the standard error for the slope of a regression model. | drfrost.org/explorer.php?ssid=7935 | ||
| 882b | A Level | Calculate a confidence interval for the slope of a regression model. | drfrost.org/explorer.php?ssid=7936 | ||
| 882c | A Level | Understand the conditions under which a confidence interval may be formed for the slope of a regression line. | drfrost.org/explorer.php?ssid=7937 | ||
| 882d | A Level | Conduct a t-test for the slope of a regression model. | drfrost.org/explorer.php?ssid=7938 | ||
| 883 | A Level | Exam Practice: Momentum and impulse (no coefficient of restitution) | drfrost.org/explorer.php?ssid=447 | E883 | |
| 883a | A Level | Calculate the speed of a particle after receiving an impulse. | drfrost.org/explorer.php?ssid=1519 | K978 | |
| 883b | A Level | Solve problems involving impulse, force and time. | drfrost.org/explorer.php?ssid=8466 | ||
| 883c | A Level | Use the impulse-momentum principle for two particles to find an unknown final speed, given the impulse due to the collision. | drfrost.org/explorer.php?ssid=1523 | K979 | |
| 883d | A Level | Determine the impulse due to impact of a particle falling onto a horizontal plane. | drfrost.org/explorer.php?ssid=7939 | ||
| 883e | A Level | Use Conservation of Momentum for two particles to find the speed or mass of one particle, given information about the other particle. | drfrost.org/explorer.php?ssid=1666 | ||
| 883f | A Level | Use Conservation of Momentum for two particles for problems with multiple unknown constants. | drfrost.org/explorer.php?ssid=7940 | ||
| 883g | A Level | Use Conservation of Momentum and the impulse-momentum principle for two particles to find the impulse due to a collision. | drfrost.org/explorer.php?ssid=1667 | ||
| 883h | A Level | Use the impulse-momentum principle for a single particle to find the impulse exerted on it in 2D. | drfrost.org/explorer.php?ssid=1668 | ||
| 883i | A Level | Use the impulse-momentum principle for a single particle to find the velocity after an impulse is exerted on it in 2D. | drfrost.org/explorer.php?ssid=1669 | ||
| 883j | A Level | Use the impulse-momentum principle for a single particle to find the speed after an impulse is exerted on it in 2D. | drfrost.org/explorer.php?ssid=7941 | ||
| 883k | A Level | Determine the impulse exerted by a wall on a particle given information about friction and where the particle comes to rest. | drfrost.org/explorer.php?ssid=7942 | ||
| 884 | A Level | Exam Practice: Work and energy | drfrost.org/explorer.php?ssid=456 | E884 | |
| 884a | A Level | Use the work done formula for one force to calculate work done, force or distance. | drfrost.org/explorer.php?ssid=1705 | ||
| 884b | A Level | Use conservation of energy to calculate a mass or velocity given a conversion between kinetic and gravitational potential energy. | drfrost.org/explorer.php?ssid=1706 | ||
| 884c | A Level | Use the work done formula involving friction or gravity to calculate work done, force or distance. | drfrost.org/explorer.php?ssid=1707 | ||
| 884d | A Level | Use the work-energy principle in one dimension. | drfrost.org/explorer.php?ssid=1708 | ||
| 884e | A Level | Use the work-energy principle in two dimensions. | drfrost.org/explorer.php?ssid=1709 | ||
| 884f | A Level | Use the work-energy principle with angled forces. | drfrost.org/explorer.php?ssid=1710 | ||
| 884g | A Level | Determine the work done where the force and displacement are vectors. | drfrost.org/explorer.php?ssid=7943 | ||
| 884h | A Level | Solve problems involving the kinetic energy \frac{1}{2} m\textbf{v}\cdot\textbf{v}, with use of \textbf{v}\cdot\textbf{v} = \textbf{u}\cdot\textbf{u} + 2\textbf{a}\cdot\textbf{x}, for vectors. | drfrost.org/explorer.php?ssid=7944 | ||
| 885 | A Level | Exam Practice: Power | drfrost.org/explorer.php?ssid=457 | E885 | |
| 885a | A Level | Determine power, force and velocity using the formula with constant velocity. | drfrost.org/explorer.php?ssid=1743 | ||
| 885b | A Level | Determine power, force and velocity using the formula with constant acceleration. | drfrost.org/explorer.php?ssid=1744 | ||
| 885c | A Level | Determine the speed when the power, mass and a force in terms of the speed is given. | drfrost.org/explorer.php?ssid=7945 | ||
| 885d | A Level | Use the formula for power involving work done. | drfrost.org/explorer.php?ssid=1745 | ||
| 885e | A Level | Determine power, force and velocity in 2D with constant velocity. | drfrost.org/explorer.php?ssid=1746 | ||
| 885f | A Level | Determine power, force and velocity in 2D with variable velocity. | drfrost.org/explorer.php?ssid=1747 | ||
| 885g | A Level | Determine the power of a pump given the density and speed of the fluid through a vertical pipe. | drfrost.org/explorer.php?ssid=7946 | ||
| 885h | A Level | Determine a force in a system with connected particles, given the power of one of the particles. | drfrost.org/explorer.php?ssid=7947 | ||
| 886 | A Level | Exam Practice: Hooke's Law | drfrost.org/explorer.php?ssid=458 | E886 | |
| 886a | A Level | Use Hooke's Law to calculate the extension of a string. | drfrost.org/explorer.php?ssid=1549 | K982 | |
| 886b | A Level | Use Hooke's Law to calculate the extension of a string in 2D. | drfrost.org/explorer.php?ssid=1651 | ||
| 886c | A Level | Determine the acceleration of a particle attached to an elastic string or spring. | drfrost.org/explorer.php?ssid=8658 | ||
| 887 | A Level | Exam Practice: Energy in elastic springs and strings | drfrost.org/explorer.php?ssid=459 | E887 | |
| 887a | A Level | Determine the energy stored in an elastic string or spring when it is extended to a given length. | drfrost.org/explorer.php?ssid=7948 | ||
| 887b | A Level | Determine the work done compressing an elastic spring between two lengths. | drfrost.org/explorer.php?ssid=7949 | ||
| 887c | A Level | Determine the distance reached by a particle attached to an elastic string on a smooth horizontal plane. | drfrost.org/explorer.php?ssid=7950 | ||
| 887d | A Level | Determine the distance reached by a particle attached to an elastic string on a rough horizontal plane. | drfrost.org/explorer.php?ssid=7951 | ||
| 887e | A Level | Determine the length of an elastic string when a particle hangs freely. | drfrost.org/explorer.php?ssid=7952 | ||
| 887f | A Level | Determine the lowest distance reached by a vertically hanging particle on a spring given an initial projected speed. | drfrost.org/explorer.php?ssid=7953 | ||
| 887g | A Level | Determine the initial acceleration of a particle attached to a spring on a rough inclined slope. | drfrost.org/explorer.php?ssid=7954 | ||
| 887h | A Level | Determine the speed of a particle attached to a spring on a rough inclined slope after reaching a given distance. | drfrost.org/explorer.php?ssid=7955 | ||
| 887i | A Level | Determine the greatest height reached by a particle attached to an elastic string that is initially pulled downwards. | drfrost.org/explorer.php?ssid=7956 | ||
| 887j | A Level | Determine the height reached by a particle, initially pulled downwards, when the elastic string goes slack. | drfrost.org/explorer.php?ssid=7957 | ||
| 888 | A Level | Exam Practice: Elastic collisions in 1D | drfrost.org/explorer.php?ssid=460 | E888 | |
| 888a | A Level | Determine the coefficient of restitution or a velocity given a single particle colliding with a wall. | drfrost.org/explorer.php?ssid=1784 | ||
| 888b | A Level | Calculate the coefficient of restitution given two colliding particles. | drfrost.org/explorer.php?ssid=1785 | ||
| 888c | A Level | Calculate a velocity given two colliding particles and the coefficient of restitution. | drfrost.org/explorer.php?ssid=7958 | ||
| 888d | A Level | Determine a speed of a particle before and after a collision with another, using conservation of momentum and the coefficient of restitution. | drfrost.org/explorer.php?ssid=1786 | ||
| 888e | A Level | Determine the speed of a particle immediately before or after a collision with a smooth plane, given the coefficient of restitution. | drfrost.org/explorer.php?ssid=1787 | ||
| 888f | A Level | Determine the maximum height reached by a falling particle after bouncing, given the coefficient of restitution. | drfrost.org/explorer.php?ssid=7959 | ||
| 888g | A Level | Determine the change in kinetic energy for a collision of a single particle. | drfrost.org/explorer.php?ssid=1788 | ||
| 888h | A Level | Determine the change in kinetic energy for a collision of two particles. | drfrost.org/explorer.php?ssid=1789 | ||
| 888i | A Level | Determine the coefficient of restitution given the impulse of one particle on another it collides with. | drfrost.org/explorer.php?ssid=7960 | ||
| 888j | A Level | Calculate the coefficient of restitution given the amount of kinetic energy lost in a collision. | drfrost.org/explorer.php?ssid=7961 | ||
| 888k | A Level | Calculate impulse given the amount of kinetic energy lost in a collision. | drfrost.org/explorer.php?ssid=7962 | ||
| 888l | A Level | Determine the range of values for the coefficient of restitution given the direction of the particles after a collision. | drfrost.org/explorer.php?ssid=7963 | ||
| 888m | A Level | Use Conservation of Momentum and Newton's Law of Restitution for successive collisions of three particles. | drfrost.org/explorer.php?ssid=1790 | ||
| 888n | A Level | Determine the range of the coefficient of restitution given that a particle makes a subsequent collision with a third particle. | drfrost.org/explorer.php?ssid=7964 | ||
| 889 | A Level | Exam Practice: Elastic collisions in 2D (oblique collisions) | drfrost.org/explorer.php?ssid=461 | E889 | |
| 889a | A Level | Determine the angle of deflection of a particle striking a wall. | drfrost.org/explorer.php?ssid=1902 | ||
| 889b | A Level | Use the velocity of a particle striking a wall at an angle to find the coefficient of restitution or angle of deflection. | drfrost.org/explorer.php?ssid=1903 | ||
| 889c | A Level | Calculate the speed of a particle striking a wall at an angle. | drfrost.org/explorer.php?ssid=1904 | ||
| 889d | A Level | Determine the velocity of a particle after striking two perpendicular walls. | drfrost.org/explorer.php?ssid=1905 | ||
| 889e | A Level | Determine the velocity of a particle after striking another particle, where the initial motion of each particle is expressed using vectors. | drfrost.org/explorer.php?ssid=1907 | ||
| 889f | A Level | Determine the speed of a particle striking another particle, where the initial motion of each particle is expressed using vectors. | drfrost.org/explorer.php?ssid=7965 | ||
| 889g | A Level | Determine the speed and direction of two spheres before or after impact where one of the spheres collides at an angle relative to the line of centres. | drfrost.org/explorer.php?ssid=7966 | ||
| 889h | A Level | Determine the speed and direction of two spheres before or after impact where both spheres collide at an angle relative to the line of centres. | drfrost.org/explorer.php?ssid=7967 | ||
| 889i | A Level | Calculate the loss of kinetic energy in an oblique impact. | drfrost.org/explorer.php?ssid=8457 | ||
| 889j | A Level | Determine the impulse received by a particle in an oblique impact. | drfrost.org/explorer.php?ssid=8651 | ||
| 890 | A Level | Exam Practice: Horizontal circular motion | drfrost.org/explorer.php?ssid=467 | E890 | |
| 890a | A Level | Determine an angular speed \omega (or \dot{\theta}) of a particle on a circular path. | drfrost.org/explorer.php?ssid=7968 | ||
| 890b | A Level | Determine the acceleration of a particle given the radius of a horizontal circular path and the angular speed. | drfrost.org/explorer.php?ssid=7969 | ||
| 890c | A Level | Determine the force towards the centre of a circle given the mass of the particle, radius of a horizontal circular path and its speed. | drfrost.org/explorer.php?ssid=7970 | ||
| 890d | A Level | Calculate the coefficient of friction between a particle in horizontal circular motion and a surface. | drfrost.org/explorer.php?ssid=7971 | ||
| 890e | A Level | Calculate the mass of a particle or tension in a string attached to a particle in horizontal circular motion, where the string is inclined to the horizontal. | drfrost.org/explorer.php?ssid=7972 | ||
| 890f | A Level | Calculate the angular speed of a particle in horizontal circular motion, where the attached string is inclined to the horizontal. | drfrost.org/explorer.php?ssid=7973 | ||
| 890g | A Level | Determine the angle of inclination of a smooth plane where a particle travels in horizontal circular motion at a given speed, or vice versa. | drfrost.org/explorer.php?ssid=7974 | ||
| 890h | A Level | Determine the maximum angular velocity of a particle travelling in horizontal circular motion on a banked rough plane, without slipping. | drfrost.org/explorer.php?ssid=7975 | ||
| 890i | A Level | Solve problems involving a particle travelling in horizontal circular motion on the inner surface of the shell of a hemisphere. | drfrost.org/explorer.php?ssid=7976 | ||
| 890j | A Level | Determine the maximum speed of a particle in circular motion on a horizontal surface, attached to an inclined string, before it loses contact with the surface. | drfrost.org/explorer.php?ssid=8652 | ||
| 890k | A Level | Solve problems involving a particle in horizontal circular motion where it is attached to two strings. | drfrost.org/explorer.php?ssid=7977 | ||
| 890l | A Level | Derive Kepler's third law of planetary motion. | drfrost.org/explorer.php?ssid=7978 | ||
| 891 | A Level | Exam Practice: Motion of a pendulum | drfrost.org/explorer.php?ssid=4515 | E891 | |
| 891a | A Level | Use Newton's second law to form a differential equation for the motion of a simple pendulum. | drfrost.org/explorer.php?ssid=7979 | ||
| 891b | A Level | Show that small oscillations of a simple pendulum may be modelled as Simple Harmonic Motion. | drfrost.org/explorer.php?ssid=7980 | ||
| 891c | A Level | Determine the period of a simple pendulum using its length. | drfrost.org/explorer.php?ssid=7981 | ||
| 892 | A Level | Exam Practice: Vertical circular motion | drfrost.org/explorer.php?ssid=468 | E892 | |
| 892a | A Level | Determine the speed of a particle, attached to a rod, initially at rest, at the lowest point of a vertical circular path. | drfrost.org/explorer.php?ssid=7982 | ||
| 892b | A Level | Determine the tension in a rod attached to a particle, initially at rest, at the lowest point of a vertical circular path. | drfrost.org/explorer.php?ssid=7983 | ||
| 892c | A Level | Determine the tension in a rod attached to a particle, projected with initial speed, at the lowest point of a vertical circular path. | drfrost.org/explorer.php?ssid=7984 | ||
| 892d | A Level | Determine the speed of a particle on the end of a rod at a given angle of vertical circular motion. | drfrost.org/explorer.php?ssid=7985 | ||
| 892e | A Level | Determine the initial speed required for a particle on the end of a rod for it to complete a full circle in vertical circular motion. | drfrost.org/explorer.php?ssid=7986 | ||
| 892f | A Level | Determine the initial speed required for a particle on the end of an inextensible string for it to complete a full circle in vertical circular motion. | drfrost.org/explorer.php?ssid=7987 | ||
| 892g | A Level | Determine the height or angle a particle attached to an inextensible string, in vertical circular motion, becomes slack. | drfrost.org/explorer.php?ssid=7988 | ||
| 892h | A Level | Determine the maximum height of a particular attached to an inextensible string, initially in circular motion but where the string becomes slack. | drfrost.org/explorer.php?ssid=7989 | ||
| 892i | A Level | Determine the angle relative to the centre of a hemisphere when a particle sliding down it leaves the surface. | drfrost.org/explorer.php?ssid=7990 | ||
| 892j | A Level | Determine the distance from the centre of a hemisphere that a particle initially sliding down it hits the ground. | drfrost.org/explorer.php?ssid=7991 | ||
| 893 | A Level | Exam Practice: Centre of mass of particles on a line or plane | drfrost.org/explorer.php?ssid=463 | E893 | |
| 893a | A Level | Determine the centre of mass of a system where masses are placed along a horizontal line. | drfrost.org/explorer.php?ssid=7992 | ||
| 893b | A Level | Determine the coordinates of the centre of mass of a system where masses are placed on a plane at given coordinates. | drfrost.org/explorer.php?ssid=7993 | ||
| 893c | A Level | Determine the coordinates of the centre of mass of a light loaded plate given placement of particles at its vertices. | drfrost.org/explorer.php?ssid=7994 | ||
| 893d | A Level | Determine the coordinates of the placement of a particle on a plane given the coordinates of the centre of mass. | drfrost.org/explorer.php?ssid=7995 | ||
| 893e | A Level | Determine the mass of a particle on a plane given the coordinates of the centre of mass. | drfrost.org/explorer.php?ssid=7996 | ||
| 894 | A Level | Exam Practice: Centre of mass of a lamina | drfrost.org/explorer.php?ssid=4516 | E894 | |
| 894a | A Level | Determine the coordinates of the centre of mass of a uniform triangular lamina with vertices at given coordinates. | drfrost.org/explorer.php?ssid=7997 | ||
| 894b | A Level | Determine the coordinates of the centre of mass of a uniform right-angled triangular lamina with given lengths. | drfrost.org/explorer.php?ssid=7998 | ||
| 894c | A Level | Derive the formula for the centre of mass of a uniform sector of a circle lamina along its axis of symmetry. | drfrost.org/explorer.php?ssid=7999 | ||
| 894d | A Level | Determine the centre of mass of a uniform semicircular lamina. | drfrost.org/explorer.php?ssid=8000 | ||
| 894e | A Level | Determine the centre of mass of a uniform general sector of a circle lamina. | drfrost.org/explorer.php?ssid=8001 | ||
| 894f | A Level | Determine the coordinates of the centre of mass of a composite uniform lamina consisting of a rectangle and triangle. | drfrost.org/explorer.php?ssid=8002 | ||
| 894g | A Level | Determine the coordinates of the centre of mass of a composite uniform lamina consisting of multiple triangles. | drfrost.org/explorer.php?ssid=8003 | ||
| 894h | A Level | Determine the coordinates of the centre of mass of a composite uniform lamina consisting of a rectangle and semicircle. | drfrost.org/explorer.php?ssid=8004 | ||
| 894i | A Level | Determine the coordinates of the centre of mass of a composite uniform rectilinear lamina. | drfrost.org/explorer.php?ssid=8005 | ||
| 894j | A Level | Determine the coordinates of the centre of mass of a uniform rectangular lamina with a rectangle removed. | drfrost.org/explorer.php?ssid=8006 | ||
| 894k | A Level | Determine the coordinates of the centre of mass of a uniform lamina removed from another involving triangles and rectangles. | drfrost.org/explorer.php?ssid=8007 | ||
| 894l | A Level | Determine the coordinates of the centre of mass of a uniform rectangular lamina with a circle removed. | drfrost.org/explorer.php?ssid=8008 | ||
| 894m | A Level | Determine the coordinates of the centre of mass of a uniform circular lamina with a circle removed. | drfrost.org/explorer.php?ssid=8009 | ||
| 894n | A Level | Determine the coordinates of the centre of mass of a uniform lamina removed from another where one shape is semicircular or a sector of a circle. | drfrost.org/explorer.php?ssid=8010 | ||
| 894o | A Level | Determine the coordinate of the centre of a mass of a non-uniform lamina created by folding. | drfrost.org/explorer.php?ssid=8011 | ||
| 895 | A Level | Exam Practice: Centre of mass of a framework | drfrost.org/explorer.php?ssid=4517 | E895 | |
| 895a | A Level | Determine the coordinates of the centre of a mass of a framework of a general polygon. | drfrost.org/explorer.php?ssid=8012 | ||
| 895b | A Level | Determine the coordinates of the centre of a mass of a framework of a semicircle. | drfrost.org/explorer.php?ssid=8013 | ||
| 895c | A Level | Determine the coordinates of the centre of mass of a framework consisting of a rectangle and a semicircle. | drfrost.org/explorer.php?ssid=8014 | ||
| 895d | A Level | Determine the coordinates of the centre of mass of a framework in the shape of a sector of a circle. | drfrost.org/explorer.php?ssid=8015 | ||
| 895e | A Level | Determine the coordinate of the centre of mass of a framework where additional weights are loaded onto it. | drfrost.org/explorer.php?ssid=8016 | ||
| 895f | A Level | Determine the coordinate of the centre of a mass of a non-uniform framework where its edges are of stated masses. | drfrost.org/explorer.php?ssid=8017 | ||
| 896 | A Level | Exam Practice: Lamina and frameworks in equilibrium | drfrost.org/explorer.php?ssid=4518 | E896 | |
| 896a | A Level | Determine the angle at which a uniform rectilinear lamina would hang when freely suspended from a given point. | drfrost.org/explorer.php?ssid=8018 | ||
| 896b | A Level | Determine the angle at which a uniform general polygonal lamina would hang when freely suspended from a given point. | drfrost.org/explorer.php?ssid=8019 | ||
| 896c | A Level | Determine the angle at which a uniform semicircular or general sector lamina would hang when freely suspended from a given point. | drfrost.org/explorer.php?ssid=8020 | ||
| 896d | A Level | Determine the angle at which a uniform composite lamina, involving circular or semicircular areas, would hang when freely suspended from a given point. | drfrost.org/explorer.php?ssid=8021 | ||
| 896e | A Level | Determine the angle at which a uniform rectilinear framework would hang when freely suspended from a given point. | drfrost.org/explorer.php?ssid=8022 | ||
| 896f | A Level | Determine the angle at which a uniform general polygonal framework would hang when freely suspended from a given point. | drfrost.org/explorer.php?ssid=8023 | ||
| 896g | A Level | Determine the angle at which a uniform semicircular or general sector framework would hang when freely suspended from a given point. | drfrost.org/explorer.php?ssid=8024 | ||
| 896h | A Level | Determine the angle at which a uniform framework, with an additional particle attached, would hang when freely suspended from a given point. | drfrost.org/explorer.php?ssid=8025 | ||
| 896i | A Level | Determine the mass of a particle attached to a uniform lamina that would result in a given angle of suspension. | drfrost.org/explorer.php?ssid=8026 | ||
| 896j | A Level | Determine the mass of a particle attached to a uniform framework that would result in a given angle of suspension. | drfrost.org/explorer.php?ssid=8027 | ||
| 896k | A Level | Determine the angle at which a non-uniform lamina, created by folding, would hang when freely suspended from a given point. | drfrost.org/explorer.php?ssid=8028 | ||
| 897 | A Level | Exam Practice: Using calculus to find the centre of mass | drfrost.org/explorer.php?ssid=464 | E897 | |
| 897a | A Level | Determine the centre of mass of a uniform lamina with polynomial equation. | drfrost.org/explorer.php?ssid=8029 | ||
| 897b | A Level | Determine the centre of mass of a uniform lamina with exponential equation. | drfrost.org/explorer.php?ssid=8030 | ||
| 897c | A Level | Determine the centre of mass of a lamina formed by the area between two polynomial lines. | drfrost.org/explorer.php?ssid=8031 | ||
| 897d | A Level | Use the area of a lamina with given equation to determine the centre of mass. | drfrost.org/explorer.php?ssid=8032 | ||
| 898 | A Level | Exam Practice: Centre of mass of 3D solids or shells | drfrost.org/explorer.php?ssid=465 | E898 | |
| 898a | A Level | Use calculus to determine the centre of mass of a uniform solid right circular cone. | drfrost.org/explorer.php?ssid=8033 | ||
| 898b | A Level | Use calculus to determine the centre of mass of a uniform solid hemisphere. | drfrost.org/explorer.php?ssid=8034 | ||
| 898c | A Level | Determine the centre of mass of a volume of revolution revolved around the x-axis. | drfrost.org/explorer.php?ssid=8035 | ||
| 898d | A Level | Determine the centre of mass of a volume of revolution revolved around the y-axis. | drfrost.org/explorer.php?ssid=8036 | ||
| 898e | A Level | Use calculus to determine the centre of mass of a uniform solid hemispherical shell. | drfrost.org/explorer.php?ssid=8037 | ||
| 898f | A Level | Determine the centre of mass of a uniform hollow right circular cone. | drfrost.org/explorer.php?ssid=8038 | ||
| 898g | A Level | Determine the centre of mass of a composite uniform solid consisting of cylinders, cones or hemispheres. | drfrost.org/explorer.php?ssid=8039 | ||
| 898h | A Level | Determine the mass or a non-uniform rod where the mass is a function of distance from the base. | drfrost.org/explorer.php?ssid=8040 | ||
| 898i | A Level | Determine the centre of mass of a non-uniform rod where the mass is a function of distance from the base. | drfrost.org/explorer.php?ssid=8041 | ||
| 898j | A Level | Determine the angle at which a rigid body hangs. | drfrost.org/explorer.php?ssid=8042 | ||
| 899 | A Level | Exam Practice: Toppling and sliding | drfrost.org/explorer.php?ssid=466 | E899 | |
| 899a | A Level | Determine the angle of a (sufficiently rough) inclined plane at which a cube would topple. | drfrost.org/explorer.php?ssid=8043 | ||
| 899b | A Level | Determine the range of angles of a (sufficiently rough) inclined plane at which a composite solid would remain in equilibrium. | drfrost.org/explorer.php?ssid=8044 | ||
| 899c | A Level | Determine the range of values for \mu for which a solid would slide down a slope. | drfrost.org/explorer.php?ssid=8045 | ||
| 899d | A Level | Determine the angle of a (sufficiently rough) inclined plane at which a volume of revolution would topple. | drfrost.org/explorer.php?ssid=8046 | ||
| 900 | A Level | Exam Practice: Acceleration varying with displacement and velocity | drfrost.org/explorer.php?ssid=4519 | E900 | |
| 900a | A Level | Determine the velocity in terms of displacement when acceleration is a function of displacement. | drfrost.org/explorer.php?ssid=8047 | ||
| 900b | A Level | Determine the displacement at which a body is at rest, where acceleration is a function of displacement. | drfrost.org/explorer.php?ssid=8048 | ||
| 900c | A Level | Determine the velocity in terms of time where acceleration is a function of velocity. | drfrost.org/explorer.php?ssid=8049 | ||
| 900d | A Level | Determine the velocity in terms of displacement when acceleration is a function of velocity. | drfrost.org/explorer.php?ssid=8050 | ||
| 901 | A Level | Exam Practice: Forces as functions of time and displacement | drfrost.org/explorer.php?ssid=4520 | E901 | |
| 901a | A Level | Determine the speed of a particle at a given time when the force acting on it is a function of time. | drfrost.org/explorer.php?ssid=8051 | ||
| 901b | A Level | Determine the displacement of a particle at a given time when the force acting on it is a function of time. | drfrost.org/explorer.php?ssid=8052 | ||
| 901c | A Level | Determine the speed of a particle at a given displacement when the force acting on it is a function of displacement. | drfrost.org/explorer.php?ssid=8053 | ||
| 901d | A Level | Determine the work done by a particle at a given displacement when the force acting on it is a function of displacement. | drfrost.org/explorer.php?ssid=8054 | ||
| 901e | A Level | Apply the impulse-momentum principle for a variable force in one dimension as \int F \, \mathrm{dt} | drfrost.org/explorer.php?ssid=8055 | ||
| 902 | A Level | Exam Practice: Simple Harmonic Motion involving springs and elastic strings | drfrost.org/explorer.php?ssid=469 | E902 | |
| 902a | A Level | Show that an elastic string on a horizontal plane, attached to a fixed point, pulled and released, will initially have SHM. | drfrost.org/explorer.php?ssid=8056 | ||
| 902b | A Level | Determine the speed of an elastic string or spring, on a horizontal plane, when it returns to its natural length. | drfrost.org/explorer.php?ssid=8057 | ||
| 902c | A Level | Determine the time for which an elastic string is slack after being pulled on a horizontal floor. | drfrost.org/explorer.php?ssid=8058 | ||
| 902d | A Level | Show that a particle attached to two horizontal springs will have SHM. | drfrost.org/explorer.php?ssid=8059 | ||
| 902e | A Level | Determine the period and amplitude of a particle attached to two horizontal springs. | drfrost.org/explorer.php?ssid=8060 | ||
| 902f | A Level | Determine the maximum speed of a particle attached to two horizontal springs. | drfrost.org/explorer.php?ssid=8061 | ||
| 902g | A Level | Show that a particle hung from a vertical spring or elastic string will have SHM. | drfrost.org/explorer.php?ssid=8062 | ||
| 902h | A Level | Determine the period and amplitude of a particle attached to a vertical spring. | drfrost.org/explorer.php?ssid=8063 | ||
| 902i | A Level | Determine the maximum speed of a particle attached to a vertical spring. | drfrost.org/explorer.php?ssid=8064 | ||
| 902j | A Level | Determine the speed of a particle attached to a vertical spring, at a given displacement. | drfrost.org/explorer.php?ssid=8065 | ||
| 902k | A Level | Determine the time for an elastic string to become slack again after a particle attached to it falls vertically. | drfrost.org/explorer.php?ssid=8066 | ||
| 903 | A Level | Exam Practice: Understanding and using algorithms | drfrost.org/explorer.php?ssid=495 | E903 | |
| 903a | A Level | Generate a trace table for a simple algorithm. | drfrost.org/explorer.php?ssid=8067 | ||
| 903b | A Level | Determine the outputs of a flow diagram given its inputs. | drfrost.org/explorer.php?ssid=8068 | ||
| 903c | A Level | Generate a trace table for a flow chart. | drfrost.org/explorer.php?ssid=8069 | ||
| 903d | A Level | Recognise when algorithms are greedy, heuristic or recursive. | drfrost.org/explorer.php?ssid=8070 | ||
| 904 | A Level | Exam Practice: Sorting algorithms | drfrost.org/explorer.php?ssid=435 | E904 | |
| 904a | A Level | Carry out a single pass of the bubblesort algorithm. | drfrost.org/explorer.php?ssid=8071 | ||
| 904b | A Level | Carry out multiple passes of the bubblesort algorithm. | drfrost.org/explorer.php?ssid=8072 | ||
| 904c | A Level | Use quicksort to sort numbers into ascending order. | drfrost.org/explorer.php?ssid=8073 | ||
| 904d | A Level | Use quicksort to sort numbers into descending order. | drfrost.org/explorer.php?ssid=8074 | ||
| 904e | A Level | Determine the range of an unknown value in a list after one pass of bubblesort has been carried out. | drfrost.org/explorer.php?ssid=8075 | ||
| 904f | A Level | Carry out multiple passes of a shuttle sort algorithm. | drfrost.org/explorer.php?ssid=8453 | ||
| 905 | A Level | Exam Practice: Binary search | drfrost.org/explorer.php?ssid=482 | E905 | |
| 905a | A Level | List the sequence of comparisons that would be made to locate a number in a list using a binary search. | drfrost.org/explorer.php?ssid=8076 | ||
| 905b | A Level | Determine the number of comparisons/steps needed for a list of size n when n is large. | drfrost.org/explorer.php?ssid=8077 | ||
| 906 | A Level | Exam Practice: Bin-packing algorithms | drfrost.org/explorer.php?ssid=496 | E906 | |
| 906a | A Level | Calculate the lower bound of bins needed when use a bin-packing algorithm. | drfrost.org/explorer.php?ssid=8078 | ||
| 906b | A Level | Use the first-fit algorithm to put items in bins of a given size. | drfrost.org/explorer.php?ssid=8079 | ||
| 906c | A Level | Use the first-fit decreasing algorithm to put items in bins of a given size. | drfrost.org/explorer.php?ssid=8080 | ||
| 906d | A Level | Use the full-bin algorithm to put items in bins of a given size. | drfrost.org/explorer.php?ssid=8081 | ||
| 906e | A Level | Reason about the range of the bin size given the bins after use of the first-fit algorithm. | drfrost.org/explorer.php?ssid=8082 | ||
| 906f | A Level | Determine the possible values of an unknown value in a bin after use of the first-fit algorithm. | drfrost.org/explorer.php?ssid=8083 | ||
| 907 | A Level | Exam Practice: Packing problems in 2D or 3D | drfrost.org/explorer.php?ssid=4521 | E907 | |
| 907a | A Level | Solve problems packing items into a 2D space. | drfrost.org/explorer.php?ssid=8084 | ||
| 907b | A Level | Solve problems packing items into a 3D space. | drfrost.org/explorer.php?ssid=8085 | ||
| 908 | A Level | Exam Practice: Knapsack problems | drfrost.org/explorer.php?ssid=4522 | E908 | |
| 908a | A Level | Choose items that maximises profit such that a total mass is not exceeded. | drfrost.org/explorer.php?ssid=8086 | ||
| 909 | A Level | Exam Practice: Order of algorithms | drfrost.org/explorer.php?ssid=497 | E909 | |
| 909a | A Level | Estimate the time required for an algorithm with linear order given the size of the input, using proportional reasoning. | drfrost.org/explorer.php?ssid=8087 | ||
| 909b | A Level | Estimate the time required for an algorithm with quadratic order given the size of the input, using proportional reasoning. | drfrost.org/explorer.php?ssid=8088 | ||
| 909c | A Level | Estimate the time required for an algorithm with order \log n or n \log n, using proportional reasoning. | drfrost.org/explorer.php?ssid=8089 | ||
| 909d | A Level | Understand O notation, and write the time complexity given an expression for the number of steps. | drfrost.org/explorer.php?ssid=8090 | ||
| 909e | A Level | Identify the order of different sorting and search algorithms. | drfrost.org/explorer.php?ssid=8091 | ||
| 909f | A Level | Identify the maximum run-time T(n) of common algorithms. | drfrost.org/explorer.php?ssid=8092 | ||
| 909g | A Level | Order algorithms in terms of the order of their runtime complexity. | drfrost.org/explorer.php?ssid=8093 | ||
| 910 | A Level | Exam Practice: Graphs, connected graphs and the degree of vertices | drfrost.org/explorer.php?ssid=433 | E910 | |
| 910a | A Level | Identify vertices and edges in a modelled graph. | drfrost.org/explorer.php?ssid=8094 | ||
| 910b | A Level | Determine the total number of edges and nodes of a graph. | drfrost.org/explorer.php?ssid=8095 | ||
| 910c | A Level | Determine the complement of a graph. | drfrost.org/explorer.php?ssid=8096 | ||
| 910d | A Level | Determine the total weight of the shortest route in a simple weighted graph (no algorithm required). | drfrost.org/explorer.php?ssid=8097 | ||
| 910e | A Level | State the degree/valency of a vertex in a graph or the sum of the degrees. | drfrost.org/explorer.php?ssid=8098 | ||
| 910f | A Level | Determine the number of edges in a graph given the degree of the graph's vertices. | drfrost.org/explorer.php?ssid=8099 | ||
| 910g | A Level | Determine whether a walk through a graph is a path, trial, cycle or Hamiltonian cycle. | drfrost.org/explorer.php?ssid=8100 | ||
| 910h | A Level | Determine if a subgraph of a graph is connected. | drfrost.org/explorer.php?ssid=8101 | ||
| 910i | A Level | Determine if a graph is simple. | drfrost.org/explorer.php?ssid=8102 | ||
| 910j | A Level | Use Euler's handshaking lemma to solve problems involving the degree of vertices in a graph. | drfrost.org/explorer.php?ssid=8103 | ||
| 910k | A Level | Determine if a graph is tree or a spanning tree. | drfrost.org/explorer.php?ssid=8104 | ||
| 910l | A Level | Find a spanning tree of a graph. | drfrost.org/explorer.php?ssid=8105 | ||
| 910m | A Level | Determine if two graphs are isomorphic. | drfrost.org/explorer.php?ssid=8106 | ||
| 911 | A Level | Exam Practice: Complete and bipartite graphs | drfrost.org/explorer.php?ssid=4523 | E911 | |
| 911a | A Level | Draw a complete graph K_n | drfrost.org/explorer.php?ssid=8107 | ||
| 911b | A Level | Determine the number of edges in a complete graph K_n | drfrost.org/explorer.php?ssid=8108 | ||
| 911c | A Level | Draw a complete bipartite graph K_{a,b} | drfrost.org/explorer.php?ssid=8109 | ||
| 911d | A Level | Determine the number of edges in a complete bipartite graph K_{a,b} | drfrost.org/explorer.php?ssid=8110 | ||
| 912 | A Level | Exam Practice: Chromatic number of a graph | drfrost.org/explorer.php?ssid=4524 | E912 | |
| 912a | A Level | Determine the chromatic number \chi(G) of a graph. | drfrost.org/explorer.php?ssid=8111 | ||
| 912b | A Level | Use the chromatic number of a graph to show that a given graph is, or is not, bipartite. | drfrost.org/explorer.php?ssid=8112 | ||
| 912c | A Level | Use graph colouring to determine the minimum number of meeting slots required given multiple committees with members in common. | drfrost.org/explorer.php?ssid=8113 | ||
| 912d | A Level | Represent a map as a loopless planar graph G, and know that \chi(G) \le 4 (the four colour theorem). | drfrost.org/explorer.php?ssid=8114 | ||
| 913 | A Level | Exam Practice: Directed graphs (digraphs) | drfrost.org/explorer.php?ssid=4525 | E913 | |
| 913a | A Level | Understand terminology of digraphs, including arcs and loops. | drfrost.org/explorer.php?ssid=8115 | ||
| 913b | A Level | Identify the indegree or outdegree of a vertex. | drfrost.org/explorer.php?ssid=8116 | ||
| 913c | A Level | Identify sinks and sources in a directed graph and their associated indegrees and outdegrees. | drfrost.org/explorer.php?ssid=8117 | ||
| 914 | A Level | Exam Practice: Adjacency matrices | drfrost.org/explorer.php?ssid=4526 | E914 | |
| 914a | A Level | Represent a directed graph as an adjacency matrix. | drfrost.org/explorer.php?ssid=8118 | ||
| 914b | A Level | Represent a weighted undirected graph using a distance matrix. | drfrost.org/explorer.php?ssid=8119 | ||
| 914c | A Level | Represent a weighted directed graph using a distance matrix. | drfrost.org/explorer.php?ssid=8120 | ||
| 915 | A Level | Exam Practice: Walks using adjacency matrices | drfrost.org/explorer.php?ssid=4527 | E915 | |
| 915a | A Level | Calculate the number of k-length walks between two vertices. | drfrost.org/explorer.php?ssid=8121 | ||
| 916 | A Level | Exam Practice: Weighted adjacency tables | drfrost.org/explorer.php?ssid=4528 | E916 | |
| 916a | A Level | Construct a transition matrix for a strongly connected undirected graph. | drfrost.org/explorer.php?ssid=8122 | ||
| 916b | A Level | Construct a transition matrix for a strongly connected directed graph. | drfrost.org/explorer.php?ssid=8123 | ||
| 917 | A Level | Exam Practice: Planar graphs and testing for planarity | drfrost.org/explorer.php?ssid=490 | E917 | |
| 917a | A Level | Understand the definition of a planar graph and determine if graphs are planar by observation. | drfrost.org/explorer.php?ssid=8124 | ||
| 917b | A Level | Use Euler's formula V + R = E + 2 | drfrost.org/explorer.php?ssid=8125 | ||
| 917c | A Level | Use the planarity algorithm to determine whether a graph is planar. | drfrost.org/explorer.php?ssid=8126 | ||
| 917d | A Level | Understand subdivision of graphs, contraction of edges and when a graph is a minor of another. | drfrost.org/explorer.php?ssid=8127 | ||
| 917e | A Level | Use Kuratowski's theorem to determine if a graph is planar. | drfrost.org/explorer.php?ssid=8128 | ||
| 917f | A Level | Determine the thickness of a graph (with thickness up to 2). | drfrost.org/explorer.php?ssid=8129 | ||
| 918 | A Level | Exam Practice: Minimum spanning trees | drfrost.org/explorer.php?ssid=481 | E918 | |
| 918a | A Level | Use Kruskal's algorithm to determine the length/weight of the minimum spanning tree of a graph. | drfrost.org/explorer.php?ssid=8130 | ||
| 918b | A Level | Use Prim's algorithm to determine the length/weight of the minimum spanning tree of a graph. | drfrost.org/explorer.php?ssid=8131 | ||
| 918c | A Level | Apply Prim's algorithm to a distance matrix to determine the minimum spanning tree. | drfrost.org/explorer.php?ssid=8132 | ||
| 919 | A Level | Exam Practice: Dijkstra's algorithm | drfrost.org/explorer.php?ssid=492 | E919 | |
| 919a | A Level | Use Dijkstra's algorithm to find the shortest route between two vertices in a weighted graph. | drfrost.org/explorer.php?ssid=8133 | ||
| 919b | A Level | Use Dijkstra's algorithm to find the shortest route between two vertices that goes via a given vertex. | drfrost.org/explorer.php?ssid=8134 | ||
| 920 | A Level | Exam Practice: Floyd's algorithm. | drfrost.org/explorer.php?ssid=491 | E920 | |
| 920a | A Level | Use Floyd's algorithm to produce a table of shortest distances between all pairs of vertices in a weighted graph. | drfrost.org/explorer.php?ssid=8135 | ||
| 920b | A Level | Determine the length of the shortest route between two vertices after applying Floyd's algorithm. | drfrost.org/explorer.php?ssid=8136 | ||
| 921 | A Level | Exam Practice: Eulerian and semi-Eulerian graphs | drfrost.org/explorer.php?ssid=434 | E921 | |
| 921a | A Level | Determine whether a graph is Eulerian, semi-Eulerian or neither from the order of its vertices. | drfrost.org/explorer.php?ssid=8137 | ||
| 921b | A Level | Determine whether a drawn graph is Eulerian, semi-Eulerian or neither. | drfrost.org/explorer.php?ssid=8138 | ||
| 921c | A Level | Distinguish between a Eulerian cycle and Hamiltonian cycle. | drfrost.org/explorer.php?ssid=8139 | ||
| 921d | A Level | Determine the length of the shortest path of a Eulerian graph that traverses every edge exactly once and ends at its starting point. | drfrost.org/explorer.php?ssid=8140 | ||
| 921e | A Level | Determine the length of the shortest path of a semi-Eulerian graph that traverses every edge at least once and ends at its starting point. | drfrost.org/explorer.php?ssid=8141 | ||
| 921f | A Level | Use the route inspection algorithm (Chinese postman algorithm) to find the shortest path through a graph, with up to four odd nodes, that traverses every edge at least once and ends at its starting po | drfrost.org/explorer.php?ssid=8142 | ||
| 921g | A Level | Use the route inspection algorithm (Chinese postman algorithm) to find the shortest path through a graph, with more than four odd nodes, that traverses every edge at least once and ends at its startin | drfrost.org/explorer.php?ssid=8143 | ||
| 921h | A Level | Determine unknown lengths in a graph where information about an inspection route is given. | drfrost.org/explorer.php?ssid=8144 | ||
| 922 | A Level | Exam Practice: Hamiltonian cycles | drfrost.org/explorer.php?ssid=4529 | E922 | |
| 922a | A Level | Know the definition of Hamiltonian paths, Hamiltonian cycles and Hamiltonian graphs. | drfrost.org/explorer.php?ssid=8145 | ||
| 922b | A Level | Complete a Hamiltonian cycle. | drfrost.org/explorer.php?ssid=8146 | ||
| 922c | A Level | Determine whether Ore's theorem can be applied to a graph. | drfrost.org/explorer.php?ssid=8147 | ||
| 922d | A Level | Use Ore's theorem to determine if a graph is Hamiltonian. | drfrost.org/explorer.php?ssid=8148 | ||
| 923 | A Level | Exam Practice: The travelling salesman problem | drfrost.org/explorer.php?ssid=4530 | E923 | |
| 923a | A Level | Understand the difference between the classical and practical travelling salesman problem. | drfrost.org/explorer.php?ssid=8149 | ||
| 923b | A Level | Use a minimum spanning tree to determine an upper bound for the practical travelling salesman problem. | drfrost.org/explorer.php?ssid=8150 | ||
| 923c | A Level | Use 'shortcuts' to improve the upper bound for the practical travelling salesman problem. | drfrost.org/explorer.php?ssid=8151 | ||
| 923d | A Level | Use a residual minimum spanning tree (RMST) to find a lower bound for the classical travelling salesman problem. | drfrost.org/explorer.php?ssid=8152 | ||
| 923e | A Level | Determine if a lower bound for the classical travelling salesman problem is an optimal solution. | drfrost.org/explorer.php?ssid=8153 | ||
| 923f | A Level | Use the nearest neighbour algorithm to find an upper bound to the travelling salesman problem. | drfrost.org/explorer.php?ssid=8154 | ||
| 923g | A Level | Show when a path produced by the nearest neighbour algorithm has failed to find the optimal Hamiltonian cycle. | drfrost.org/explorer.php?ssid=8155 | ||
| 924 | A Level | Exam Practice: Linear programming | drfrost.org/explorer.php?ssid=479 | E924 | |
| 924a | A Level | Understand terms such as decision variables, objective function and constraints in a linear programming problem. | drfrost.org/explorer.php?ssid=8156 | ||
| 924b | A Level | Define the objective function and constraints of a modelled linear programming problem with two variables. | drfrost.org/explorer.php?ssid=8157 | ||
| 924c | A Level | Identify the feasible region of a linear programming problem when the constraints are given. | drfrost.org/explorer.php?ssid=8158 | ||
| 924d | A Level | Use an objective line with a given feasible region to maximise or minimise the objective function. | drfrost.org/explorer.php?ssid=8159 | ||
| 924e | A Level | Use the vertex testing method with a given feasible region to maximise or minimise the objective function. | drfrost.org/explorer.php?ssid=8160 | ||
| 924f | A Level | Solve a linear programming problem from a modelled context. | drfrost.org/explorer.php?ssid=8161 | ||
| 924g | A Level | Use graphical methods to determine integer solutions to a linear programming problem. | drfrost.org/explorer.php?ssid=8162 | ||
| 924h | A Level | Use the branch-and-bound method to determine integer solutions to a linear programming problem. | drfrost.org/explorer.php?ssid=8163 | ||
| 925 | A Level | Exam Practice: The simplex algorithm | drfrost.org/explorer.php?ssid=494 | E925 | |
| 925a | A Level | Rewrite an inequality using a slack variable and distinguish basic and non-basic variables. | drfrost.org/explorer.php?ssid=8164 | ||
| 925b | A Level | Apply the simplex algorithm to a linear programming problem with three variables to find the maximum value of an objective function. | drfrost.org/explorer.php?ssid=8165 | ||
| 925c | A Level | Solve a linear programming problem using a simplex tableau to find the maximum value of an objective function. | drfrost.org/explorer.php?ssid=8166 | ||
| 925d | A Level | Solve a linear programming problem using a simplex tableau to find the minimum value of an objective function. | drfrost.org/explorer.php?ssid=8167 | ||
| 925e | A Level | Determine integer solutions to a linear programming problem using the simplex method. | drfrost.org/explorer.php?ssid=8168 | ||
| 925f | A Level | Use surplus and artificial variables to write inequalities as equations. | drfrost.org/explorer.php?ssid=8169 | ||
| 925g | A Level | Solve a linear programming problem using the two-stage simplex method involving surplus variables. | drfrost.org/explorer.php?ssid=8170 | ||
| 925h | A Level | Show that a linear programming problem involving surplus variables has no feasible solution. | drfrost.org/explorer.php?ssid=8171 | ||
| 926 | A Level | Exam Practice: The Big M method | drfrost.org/explorer.php?ssid=493 | E926 | |
| 926a | A Level | Solve a linear programming problem using the Big-M method to maximise an objective function. | drfrost.org/explorer.php?ssid=8172 | ||
| 926b | A Level | Solve a linear programming problem using the Big-M method to minimise an objective function. | drfrost.org/explorer.php?ssid=8173 | ||
| 927 | A Level | Exam Practice: Modelling a project as a graph | drfrost.org/explorer.php?ssid=486 | E927 | |
| 927a | A Level | Form a precedence (dependence) table based on a list of activities in a project. | drfrost.org/explorer.php?ssid=8174 | ||
| 927b | A Level | Draw an activity network for a precedence table (no dummy variables) [Variant 1: Edges are activities] | drfrost.org/explorer.php?ssid=8175 | ||
| 927c | A Level | Draw an activity network for a precedence table using dummy variables. | drfrost.org/explorer.php?ssid=8176 | ||
| 928 | A Level | Exam Practice: Early and late event times, critical activities, and floats | drfrost.org/explorer.php?ssid=487 | E928 | |
| 928a | A Level | Draw an precedence diagram with timings for a precedence table [Note: variation of an activity network] | drfrost.org/explorer.php?ssid=8177 | ||
| 928b | A Level | Determine the length of the critical path for a precedence diagram [Note: variation of an activity network] | drfrost.org/explorer.php?ssid=8178 | ||
| 928c | A Level | Determine an unknown early event time in a simple activity network. | drfrost.org/explorer.php?ssid=8179 | ||
| 928d | A Level | Determine an unknown late event time in a simple activity network. | drfrost.org/explorer.php?ssid=8180 | ||
| 928e | A Level | Identify the critical activities in an activity network. | drfrost.org/explorer.php?ssid=8181 | ||
| 928f | A Level | Determine the critical paths in an activity network. | drfrost.org/explorer.php?ssid=8182 | ||
| 928g | A Level | Determine the total float of an activity in an activity network. | drfrost.org/explorer.php?ssid=8183 | ||
| 928h | A Level | Calculate and interpret independent and interfering float of an activity. | drfrost.org/explorer.php?ssid=8184 | ||
| 929 | A Level | Exam Practice: Gantt charts (cascade chart) | drfrost.org/explorer.php?ssid=488 | E929 | |
| 929a | A Level | Draw a Gantt chart (cascade chart) using an activity network. | drfrost.org/explorer.php?ssid=8185 | ||
| 929b | A Level | Identify activities which may or must be happening by a given time. | drfrost.org/explorer.php?ssid=8186 | ||
| 930 | A Level | Exam Practice: Resource histograms and scheduling diagrams | drfrost.org/explorer.php?ssid=489 | E930 | |
| 930a | A Level | Draw a resource histogram using a Gantt chart (cascade chart) combined with the number of workers for each activity. | drfrost.org/explorer.php?ssid=8187 | ||
| 930b | A Level | Draw a resource histogram using an activity network combined with the number of workers for each activity. | drfrost.org/explorer.php?ssid=8188 | ||
| 930c | A Level | Use resource levelling to optimise the allocation of workers for a project. | drfrost.org/explorer.php?ssid=8189 | ||
| 930d | A Level | Schedule activities to be completed in the critical time by the minimum number of workers. | drfrost.org/explorer.php?ssid=8190 | ||
| 930e | A Level | Calculate a lower bound on the number of workers needed to complete a project. | drfrost.org/explorer.php?ssid=8191 | ||
| 930f | A Level | Determine the completion time for a project given an activity network. | drfrost.org/explorer.php?ssid=8192 | ||
| 931 | A Level | Exam Practice: Voronoi diagrams | drfrost.org/explorer.php?ssid=478 | E931 | |
| 931a | A Level | Determine the nearest site in a Voronoi diagram. | drfrost.org/explorer.php?ssid=8193 | ||
| 931b | A Level | Determine the distance from a point to the nearest site in a Voronoi diagram. | drfrost.org/explorer.php?ssid=8194 | ||
| 931c | A Level | Construct a Voronoi diagram for 2 sites. | drfrost.org/explorer.php?ssid=8195 | ||
| 931d | A Level | Construct a Voronoi diagram for 3 sites. | drfrost.org/explorer.php?ssid=8196 | ||
| 931e | A Level | Determine the equation of a line which would complete a Voronoi diagram with 4 sites. | drfrost.org/explorer.php?ssid=8197 | ||
| 931f | A Level | Given values for each site, use nearest neighbour interpolation to estimate the value at a given point. | drfrost.org/explorer.php?ssid=8198 | ||
| 931g | A Level | Determine a point which is far as way as possible from all sites (Toxic Waste Dump problem) | drfrost.org/explorer.php?ssid=8199 | ||
| 932 | A Level | Exam Practice: Transportation problems | drfrost.org/explorer.php?ssid=4531 | E932 | |
| 932a | A Level | Use the north-west corner method to find an initial solution to a transportation problem. | drfrost.org/explorer.php?ssid=8200 | ||
| 932b | A Level | Use the north-west corner method when a dummy demand point or dummy supply point has been added. | drfrost.org/explorer.php?ssid=8201 | ||
| 932c | A Level | Demonstrate that the north-west corner method gives a degenerate solution. | drfrost.org/explorer.php?ssid=8202 | ||
| 932d | A Level | Calculate the shadow costs given by the initial solution to a transportation problem. | drfrost.org/explorer.php?ssid=8203 | ||
| 932e | A Level | Use shadow costs to calculate improvement indices in a transportation problem. | drfrost.org/explorer.php?ssid=8204 | ||
| 932f | A Level | Use the shadow costs and improvement indices to determine whether a solution is optimal. | drfrost.org/explorer.php?ssid=8205 | ||
| 932g | A Level | Obtain an improved solution given a table of costs and find the improved cost in a transportation problem using the stepping-stone method. | drfrost.org/explorer.php?ssid=8206 | ||
| 932h | A Level | Solve the transportation problem stating both the initial and improved cost. | drfrost.org/explorer.php?ssid=8207 | ||
| 932i | A Level | Formulate the transportation problem as a linear programming problem. | drfrost.org/explorer.php?ssid=8208 | ||
| 933 | A Level | Exam Practice: Allocation problems | drfrost.org/explorer.php?ssid=4532 | E933 | |
| 933a | A Level | Reduce a cost matrix. | drfrost.org/explorer.php?ssid=8209 | ||
| 933b | A Level | Allocate tasks to minimise cost using the Hungarian algorithm. | drfrost.org/explorer.php?ssid=8210 | ||
| 933c | A Level | Allocate tasks to minimise cost using the Hungarian algorithm using dummy tasks or workers. | drfrost.org/explorer.php?ssid=8211 | ||
| 933d | A Level | Allocate tasks to maximise cost. | drfrost.org/explorer.php?ssid=8212 | ||
| 933e | A Level | Allocate tasks where certain workers may not be allocated certain tasks. | drfrost.org/explorer.php?ssid=8213 | ||
| 933f | A Level | Formulate an allocation problem as a linear programming problem. | drfrost.org/explorer.php?ssid=8214 | ||
| 934 | A Level | Exam Practice: Flows and cuts in networks | drfrost.org/explorer.php?ssid=4533 | E934 | |
| 934a | A Level | Identify source and sink vertices in a capacitated directed network. | drfrost.org/explorer.php?ssid=8215 | ||
| 934b | A Level | Identify saturated arcs given the capacitated directed network and a flow pattern. | drfrost.org/explorer.php?ssid=8216 | ||
| 934c | A Level | Identify the value of the flow given a flow pattern. | drfrost.org/explorer.php?ssid=8217 | ||
| 934d | A Level | State the maximum flow along a given path. | drfrost.org/explorer.php?ssid=8218 | ||
| 934e | A Level | Determine an unknown flow in a flow pattern. | drfrost.org/explorer.php?ssid=8219 | ||
| 934f | A Level | Determine the value of a cut. | drfrost.org/explorer.php?ssid=8220 | ||
| 935 | A Level | Exam Practice: Maximising flows in networks | drfrost.org/explorer.php?ssid=4534 | E935 | |
| 935a | A Level | Calculate the initial flow given maximum flows along stated paths. | drfrost.org/explorer.php?ssid=8221 | ||
| 935b | A Level | Calculate the initial flow given a set of saturated arcs. | drfrost.org/explorer.php?ssid=8222 | ||
| 935c | A Level | Use the labelling procedure on an initial flow to obtain a maximum flow pattern. | drfrost.org/explorer.php?ssid=8223 | ||
| 935d | A Level | Use the maximum flow-minimum cut theorem to prove that a flow is maximal. | drfrost.org/explorer.php?ssid=8224 | ||
| 936 | A Level | Exam Practice: Flows in networks with lower capacity | drfrost.org/explorer.php?ssid=4535 | E936 | |
| 936a | A Level | Determine the flow in each arc into and out of a single vertex given the lower and upper capacity of each. | drfrost.org/explorer.php?ssid=8225 | ||
| 936b | A Level | Calculate flows of arcs in more general networks given the lower and upper capacity of each. | drfrost.org/explorer.php?ssid=8226 | ||
| 936c | A Level | Use flow augmentation to find the maximum flow through a network with both lower and upper capacities. | drfrost.org/explorer.php?ssid=8227 | ||
| 936d | A Level | Determine the capacity of cuts in a network with lower and upper capacities. | drfrost.org/explorer.php?ssid=8228 | ||
| 937 | A Level | Exam Practice: Supersources and supersinks | drfrost.org/explorer.php?ssid=4536 | E937 | |
| 937a | A Level | List the source and sink vertices in a flow network with multiple sources or sinks. | drfrost.org/explorer.php?ssid=8229 | ||
| 937b | A Level | Modify a flow network to add a supersink and supersource, stating the capacity and initial flow to and from each. | drfrost.org/explorer.php?ssid=8230 | ||
| 937c | A Level | Use the initial flow and the labelling procedure to find the maximum flow through a network with multiple sources and/or sinks. | drfrost.org/explorer.php?ssid=8231 | ||
| 937d | A Level | Modify a flow network to add a supersink and supersource, stating the lower and upper capacities and initial flow to and from each. | drfrost.org/explorer.php?ssid=8232 | ||
| 938 | A Level | Exam Practice: Restricted capacity nodes | drfrost.org/explorer.php?ssid=4537 | E938 | |
| 938a | A Level | Modify a capacitated directed network to model a node with restricted capacity. | drfrost.org/explorer.php?ssid=8233 | ||
| 938b | A Level | Modify a capacitated directed network with lower and upper capacities to model a node with restricted capacity. | drfrost.org/explorer.php?ssid=8234 | ||
| 938c | A Level | Explain why a flow cannot exceed an upper limit in a capacitated flow network containing a node with restricted capacity. | drfrost.org/explorer.php?ssid=8235 | ||
| 939 | A Level | Exam Practice: Dynamic programming | drfrost.org/explorer.php?ssid=4538 | E939 | |
| 939a | A Level | Apply Bellman's principle of optimality to a graph network to reason about the shortest/longest path of a subroute given the full route. | drfrost.org/explorer.php?ssid=8236 | ||
| 939b | A Level | Use dynamic programming to find a minimum or maximum cost route in a network. | drfrost.org/explorer.php?ssid=8458 | ||
| 939c | A Level | Use dynamic programming to find a minimax route in a network presented as a graph. | drfrost.org/explorer.php?ssid=8459 | ||
| 939d | A Level | Use dynamic programming to maximise or minimise a value based on a table of data. | drfrost.org/explorer.php?ssid=8460 | ||
| 939e | A Level | Apply Bellman's principle of optimality to form a recurrence relation for a counting problem. | drfrost.org/explorer.php?ssid=8237 | ||
| 939f | A Level | Use a recurrence relation obtained using Bellman's principle of optimality to solve a counting problem. | drfrost.org/explorer.php?ssid=8461 | ||
| 939g | A Level | Use dynamic programming to determine an optimum sequence of moves in a game-like scenario. | drfrost.org/explorer.php?ssid=8462 | ||
| 940 | A Level | Exam Practice: Game theory | drfrost.org/explorer.php?ssid=4539 | E940 | |
| 940a | A Level | Form a pay-off matrix to represent a two-person game. | drfrost.org/explorer.php?ssid=8238 | ||
| 940b | A Level | Determine the play-safe strategy for each player given a pay-off matrix. | drfrost.org/explorer.php?ssid=8239 | ||
| 940c | A Level | Form a pay-off matrix for a zero-sum two-person game. | drfrost.org/explorer.php?ssid=8240 | ||
| 940d | A Level | Determine the pay-off matrix in a zero-sum game for the second player, given the pay-off matrix for the first player. | drfrost.org/explorer.php?ssid=8241 | ||
| 940e | A Level | Determine the play-safe strategy for each player given a pay-off matrix in a zero-sum game. | drfrost.org/explorer.php?ssid=8242 | ||
| 940f | A Level | Determine whether a zero-sum game has a stable solution (i.e. is in Nash equilibrium) by use of the stable solution theorem. | drfrost.org/explorer.php?ssid=8243 | ||
| 940g | A Level | Reduce a zero-sum game using a dominance argument. | drfrost.org/explorer.php?ssid=8244 | ||
| 940h | A Level | Find the expected pay-offs for a mixed strategy, where probabilities are assigned to each choice. | drfrost.org/explorer.php?ssid=8245 | ||
| 940i | A Level | Find the optimal mixed strategy for a player in a two-person zero-sum 2\times2 game with a given pay-off matrix. | drfrost.org/explorer.php?ssid=8246 | ||
| 940j | A Level | Find the optimal mixed strategy for a player in a two-person zero-sum 2\times n or n\times2 game with a given pay-off matrix, where n > 2 | drfrost.org/explorer.php?ssid=8247 | ||
| 941 | A Level | Exam Practice: Formulating games as LP problems | drfrost.org/explorer.php?ssid=4540 | E941 | |
| 941a | A Level | Write the constraints required to formulate a zero-sum game with no stable solution as a linear programming problem. | drfrost.org/explorer.php?ssid=8248 | ||
| 941b | A Level | Write down the initial simplex tableau from a linear programming problem formed from a zero-sum game. | drfrost.org/explorer.php?ssid=8249 | ||
| 942 | A Level | Exam Practice: Decision trees | drfrost.org/explorer.php?ssid=4541 | E942 | |
| 942a | A Level | Form a decision tree using simple information, to indicate decisions and pay-offs (excluding chance nodes). | drfrost.org/explorer.php?ssid=8250 | ||
| 942b | A Level | Form a decision tree involving calculation of expected monetary value (EMV). | drfrost.org/explorer.php?ssid=8251 | ||
| 942c | A Level | Determine the best strategy given a decision tree. | drfrost.org/explorer.php?ssid=8252 | ||
| 943 | A Level | Exam Practice: Utility | drfrost.org/explorer.php?ssid=4542 | E943 | |
| 943a | A Level | Use a utility function to convert pay-offs in a decision tree to utilities. | drfrost.org/explorer.php?ssid=8253 | ||
| 943b | A Level | Calculate the expected utility given a utility function and decision tree. | drfrost.org/explorer.php?ssid=8254 | ||
| 943c | A Level | Compare utilities in context. | drfrost.org/explorer.php?ssid=8255 | ||
| 943d | A Level | Determine a minimum payoff that would warrant participating in a decision tree. | drfrost.org/explorer.php?ssid=8256 | ||
| 944 | A Level | Exam Practice: Transition matrices for probabilities and regular Markov chains | drfrost.org/explorer.php?ssid=4543 | E944 | |
| 944a | A Level | Represent a Markov chain as a transition matrix. | drfrost.org/explorer.php?ssid=8257 | ||
| 944b | A Level | Identify the probability of being in a state after a single transition, given the transition matrix and initial state vector. | drfrost.org/explorer.php?ssid=8258 | ||
| 944c | A Level | Identify the probability of being in a state after multiple transitions, given the transition matrix and initial state vector. | drfrost.org/explorer.php?ssid=8259 | ||
| 944d | A Level | Identify the probability of being in a state after a large number of transitions, by using the diagonalised form of the transition matrix. | drfrost.org/explorer.php?ssid=8260 | ||
| 944e | A Level | Determine the steady state vector of a transition matrix of probabilities. | drfrost.org/explorer.php?ssid=8261 | ||
| 945 | A Level | Exam Practice: Bijections with infinite sets | drfrost.org/explorer.php?ssid=8378 | E945 | |
| 945a | A Level | Define a linear bijection to show that an infinite set (e.g. all odd numbers) is countable. | drfrost.org/explorer.php?ssid=8379 | ||
| 945b | A Level | Define a bijection using oscillating behaviour to show that an infinite set (e.g. \mathbb{Z} or \mathbb{Q}) is countable. | drfrost.org/explorer.php?ssid=8380 | ||
| 945c | A Level | Use Cantor's diagonalisation argument to show that \mathbb{R} is uncountable. | drfrost.org/explorer.php?ssid=8381 |