Year 7 |
Year 8 |
Year 9 |
Year 10 |
Year 11 |
Extension |
Understand negative numbers as positions on a number line; order, add and subtract integers in context
Ordering Negative numbers |
Add, subtract, multiply and divide integers.
Connect three |
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| Recognise and use multiples, factors, primes (less than 100), common factors, highest common factors and lowest common multiples in simple cases; use simple tests of divisibility.
Multiple and factor chains Excel
Factors and multiples game |
Use multiples, factors, common factors, highest common factors, lowest common multiples and primes; find the prime factor decomposition of a number, e.g.
8000 = 26 × 53.
Factor tree |
Use the prime factor decomposition of a number. |
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| Recognise the first few triangular numbers; recognise the squares of numbers to at least 12 × 12 and the corresponding roots.
Handshakes |
Use squares, positive and negative square roots, cubes and cube roots, and index notation for small positive integer powers. |
Use ICT to estimate square roots and cube roots.
Getting closer Excel |
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Use index notation for integer powers; know and use the index laws for multiplication and division of positive integer powers. |
Use index notation with negative and fractional powers, recognising that the index laws can be applied to these as well. |
Use inverse operations, understanding that the inverse operation of raising a positive number to power n is raising the result of this operation to power 1/n. |
Understand and use rational and irrational numbers. |
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Know that n½ = √n and n⅓= 3√n for any positive number n. |
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