Properties of Numbers, Integers, Powers and Roots

  1. Step 1
    Recognise odd and even numbers up to 1000, and some of their properties, including the outcomes of sums or differences of pairs of odd/even numbers. View step.

     
    Describe and extend number sequences: count on or back in tens or hundreds, starting from any two- or three-digit number. View step.

  2. Step 2
    Recognise negative numbers in contexts (e.g. on a number line, on a temperature scale). View step.

     
    Recognise multiples of 2, 3, 4, 5 and 10, up to the tenth multiple. View step.

  3. Step 3
    Recognise and extend number sequences formed by counting from any number in steps of constant size. (See progression map for Sequences, Functions and Graphs.) View step.

     
    Recognise multiples of 6, 7, 8 and 9 up to the tenth multiple. View step.

     
    Know the squares of numbers up to 10 × 10. View step.

     
    Know all the pairs of factors of any number up to 100. View step.

     
    Know and apply tests of divisibility by 2, 4, 5, 10 or 100. View step.

  4. Step 4
    Factorise numbers to 100 into prime factors. View step.

     
    Recognise and use multiples, factors and primes (less than 100). View step.

     
    Know and apply simple tests of divisibility. View step.

  5. Step 5
    Recognise the first few triangular numbers, squares of numbers to at least 12 × 12 and the corresponding roots. View step.

     
    Add and subtract positive and negative numbers in context. View step.

Steps 6 to 10