Strategies Number – addition, subtraction, multiplication and division Pupils should be taught to: multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context perform mental calculations, including with mixed operations and large numbers identify common factors, common multiples and prime numbers use their knowledge of the order of operations to carry out calculations involving the four operations solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why solve problems involving addition, subtraction, multiplication and division use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

Addition

Addition 5 7 5 6 8 6 4 3 9 9 0 1 3 0 0 1 3 0 0 0 1 4 3 9 9 5 7 5 6 1 8 6 4 3 1 4 3 9 9

Subtraction

Subtraction 1 12 13 17 1 2 3 4 8 7 9 4 5 9 9 6 1 8 8 8 8 3

Multiplication

Multiplication 6 7 8 5 4 2 7 1 6 3 3 9 0 0 3 6 6 1 2 3 2 2 8 0 2 4 0 0 4 0 0 3 5 0 0 3 0 0 0 0 3 6 6 1 2

Division

Division 37 74 111 148 185 222 259 296 334 370 6 3 -2 2 2 1 1 1 1 1 1