(Draft) Strategies and Methods Multiplication – Year 3 Year 4 Doubling and halving Grouping Find doubles of numbers to 50 using partitioning Use partitioning to multiply 2-digit numbers by 1-digit numbers e.g. e.g. double 48 24 × 5 ×5 ×5 Multiply multiples of 100 and 1000 by 1-digit numbers using Use doubling as a strategy in multiplying by 2 tables facts e.g. e.g. 18 × 2 is double 18 = 36 400 × 8 = 3200 Multiply near multiples by rounding Grouping e.g. 24 × 19 as (24 × 20) 24 = 456 – Recognise that multiplication is commutative Using number facts e.g. 4 × 8 = 8 × 4 Multiply multiples of 10 by 1-digit numbers Know times-tables up to 12 × 12 e.g. 30 × 8 = 240 × 2 3 4 5 6 7 8 9 10 12 1 11 Multiplication Multiply 2-digit numbers by 1-digit numbers ‘friendly’ 2 3 4 5 6 7 8 9 10 12 1 1 11 e.g. 13 × 4 2 2 4 6 8 10 12 16 18 20 24 14 11 3 3 6 9 15 18 24 27 30 22 36 12 21 Using number facts Mental 4 4 8 12 16 20 24 28 32 36 40 33 48 Know doubles to double 20 5 5 15 20 25 30 35 40 45 50 44 60 10 e.g. double 15 is 30 6 6 18 24 30 36 42 48 54 60 55 72 12 Know doubles of multiples of 5 to 100 7 7 21 28 35 42 49 56 63 70 66 84 14 e.g. double 85 is 170 8 8 24 32 40 48 56 64 72 80 77 96 16 Know ×2, ×3, ×4, ×5, ×8, ×10 tables facts 9 9 27 36 45 54 63 72 81 90 88 108 18 10 10 20 30 40 50 60 70 80 90 100 99 120 22 33 44 55 66 77 88 99 110 121 132 11 11 12 24 36 48 60 72 84 96 108 120 132 144 12
Mental Multiplication Strategies and Methods – Multiplication (Draft) Year 3 Year 4 Doubling and halving Grouping Find doubles of numbers to 50 using partitioning Use partitioning to multiply 2-digit numbers by 1-digit numbers e.g. double 48 e.g. 24 × 5 ×5 ×5 Multiply multiples of 100 and 1000 by 1-digit numbers using Use doubling as a strategy in multiplying by 2 tables facts e.g. 18 × 2 is double 18 = 36 e.g. 400 × 8 = 3200 Multiply near multiples by rounding Grouping e.g. 24 × 19 as (24 × 20) – 24 = 456 Recognise that multiplication is commutative Using number facts e.g. 4 × 8 = 8 × 4 Multiply multiples of 10 by 1-digit numbers Know times-tables up to 12 × 12 e.g. 30 × 8 = 240 × 1 2 3 4 5 6 7 8 9 10 11 12 Multiply ‘friendly’ 2-digit numbers by 1-digit numbers 1 1 2 3 4 5 6 7 8 9 10 11 12 e.g. 13 × 4 2 2 4 6 8 10 12 14 16 18 20 11 24 3 3 6 9 12 15 18 21 24 27 30 22 36 Using number facts 4 4 8 12 16 20 24 28 32 36 40 33 48 Know doubles to double 20 5 5 10 15 20 25 30 35 40 45 50 44 60 e.g. double 15 is 30 6 6 12 18 24 30 36 42 48 54 60 55 72 Know doubles of multiples of 5 to 100 7 7 14 21 28 35 42 49 56 63 70 66 84 e.g. double 85 is 170 8 8 16 24 32 40 48 56 64 72 80 77 96 Know ×2, ×3, ×4, ×5, ×8, ×10 tables facts 9 9 18 27 36 45 54 63 72 81 90 88 108 10 10 20 30 40 50 60 70 80 90 100 99 120 11 11 22 33 44 55 66 77 88 99 110 121 132 12 12 24 36 48 60 72 84 96 108 120 132 144
Abacus_KS2_Calculations_Overview.docx