Key stage 1 (Year 1 programme of study)

Statutory requirements

Pupils should be taught to:

• given a number, identify one more and one less.

Key stage 1 (year 2 programme of study)

Statutory requirements

Pupils should be taught to:

• recognise the place value of each digit in a two-digit number (tens, ones);
• use place value and number facts to solve problems. 

Key stage 1 (Year 2 programme of study)

Statutory requirements

Pupils should be taught to:

• Compare and order numbers from 0 up to 100; use <, > and = signs.

Notes and guidance (non-statutory)
Using materials and a range of representations, pupils practise counting, reading, writing and comparing numbers to at least 100 and solving a variety of related problems to develop fluency.

Key stage 2 (Year 3 programme of study)

Statutory requirements

Pupils should be taught to:

• count from 0 in multiples of 4, 8, 50 and 100;
• recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.

Notes and guidance (non-statutory)

Pupils now use multiples of 2, 3, 4, 5, 8, 10, 50 and 100. 

Key stage 2 (Year 4 programme of study)

Statutory requirements

Pupils should be taught to:

• count backwards through zero to include negative numbers;

solve number and practical problems that involve… the above

Key stage 2 (Year 4 programme of study)

Statutory requirements

Pupils should be taught to:

• read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.

Year 4 programme of study notes and guidance (non-statutory)

Roman numerals should be put in their historical context so pupils understand that there have been different ways to write whole numbers and that the important concepts of zero and place value were introduced over a period of time.

Statutory requirements

Pupils should be taught to:

• read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit.

Notes and guidance (non statutory)

Pupils identify the place value in large whole numbers

Key stage 2 (Year 6 programme of study)

Statutory requirements

Pupils should be taught to:

• identify the value of each digit in numbers given to three decimal places.

Key stage 2 (Year 6 programme of study)                                                          

Although the Programmes of Study do not specifically refer to reading scales, it is a skill that is needed in various mathematics contexts including aspects of measurement and statistics. The use of various measuring scales is referred to throughout Key Stages 1 and 2.