1. Maths Methods for Addition, Subtraction, Multiplication and Division for Year 5 and 6.

2. Year 5 and 6 (Upper Key Stage 2) The principal focus of mathematics teaching in upper key stage 2 is to ensure that pupils extend their understanding of the number system and place value to include larger integers. This should develop the connections that pupils make between multiplication and division with fractions, decimals, percentages and ratio. At this stage, pupils should develop their ability to solve a wider range of problems, including increasingly complex properties of numbers and arithmetic, and problems demanding efficient written and mental methods of calculation. By the end of year 6, pupils should be fluent in written methods for all four operations, including long multiplication and division, and in working with fractions, decimals and percentages.

3. Statutory Requirements in Year 5 Addition + Subtraction. Pupils should be taught to: add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) add and subtract numbers mentally with increasingly large numbers use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy. solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.

4. Multiplication and Division (Year 5) identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers know and use the vocabulary of prime numbers, prime factors and composite (nonprime) numbers establish whether a number up to 100 is prime and recall prime numbers up to 19 multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers multiply and divide numbers mentally drawing upon known facts divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context multiply and divide whole numbers and those involving decimals by 10, 100 and 1000 Mathematics recognise and use square numbers and cube numbers, and the notation for squared ( 2 ) and cubed (3 ) solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.

5. Statutory Requirements Year 6 (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

6. Addition and Subtraction Methods. 789 +642 1431 I I Answer 1431 8 1 1 874 932 - 523 - 457 351 475 Answer 351 Answer 475

7. Short Multiplication 24 342 2741 x6 x 7 x 6 144 2394 16446 2 2 1 4 2 Long Multiplication 24 124 x16 x 26 144 744 240 2480 384 3224 1 1

8. Short Division 98 ÷ 7 becomes 432 ÷ 5 becomes 496 ÷ becomes 14 86r2 45 1/11 7 9 2 8 5 43 3 2 11 49 5 6 Long Division 432 ÷ 15 becomes 28 r 12 28 12/15 28. 8 15 432 15 432 15 432.0 30 300 20 x 15 30 132 132 132 120 120 8 x 15 120 12 12 12.0 12.0 0