there are five people in each Recall and group.” use multiplication facts for the 2X, 5X and 10X-tables. Stage Counting Use doubling to make Recall odd Dividing a 2-digit Children use an empty number line to chunk 3: forwards connections between the 2X, and even by 1-digit number, efficiently. and 4X and 8X-tables. numbers to representing this 96 6 = 16 backwards 100 in efficiently on a Understand that multiplication in 2s, 3s, reference to number line: can be undertaken by 6 x 6 = 36 10 x 6 = 60 4s, 5s, 8s structured partitioning numbers, e.g. 12 X and 10s apparatus. 4 = 10 X 4 + 2 X 4 from zero. Introduce the structure of Recall & use 0 36 96 scaling: e.g. Find a ribbon multiplication that is 4 times as long as for the the blue ribbon. 2X, 3X, 4X, 5X, 8X and 10X tables. 2cm 8cm Counting Derive factor pairs of numbers Recall & use Children use an empty number line to chunk Dividing a 4: forwards using models and images. multiplication by 1-digit number, efficiently. and facts for all representing this 224 ÷ 8 = 28 backwards Know what happens when a times-tables efficiently on a in 2s, 3s, number is multiplied by zero or up to 12 X number line, also 8 x 8 = 64 20 x 8 = 160 4s, 5s, 7s, one. 12. in relation to long 8s, 10s, 25s division: and 1000s Use reordering to multiply three At this stage, from zero. numbers. no 0 64 224 remainders are present 28 28 unless in a 8 224 8 224 practical - 160 (8 X 20) 20 X 8 = 160 context. 64 64 …or… - 64 (8 X 8) 8 X 8 = 64
there are five people in each group.” Recall and use multiplication facts for the 2X, 5X and 10X-tables. Stage 3: Counting forwards and backwards in 2s, 3s, 4s, 5s, 8s and 10s from zero. Use doubling to make connections between the 2X, 4X and 8X-tables. Understand that multiplication can be undertaken by partitioning numbers, e.g. 12 X 4 = 10 X 4 + 2 X 4 Introduce the structure of scaling: e.g. Find a ribbon that is 4 times as long as the blue ribbon. 2cm 8cm Recall odd and even numbers to 100 in reference to structured apparatus. Recall & use multiplication for the 2X, 3X, 4X, 5X, 8X and 10X tables. Dividing a 2-digit by 1-digit number, representing this efficiently on a number line: Children use an empty number line to chunk efficiently. 96 6 = 16 6 x 6 = 36 10 x 6 = 60 0 36 96 4: Counting forwards and backwards in 2s, 3s, 4s, 5s, 7s, 8s, 10s, 25s and 1000s from zero. Derive factor pairs of numbers using models and images. Know what happens when a number is multiplied by zero or one. Use reordering to multiply three numbers. Recall & use multiplication facts for all times-tables up to 12 X 12. Dividing a by 1-digit number, representing this efficiently on a number line, also in relation to long division: At this stage, no remainders are present unless in a practical context. Children use an empty number line to chunk efficiently. 224 ÷ 8 = 28 8 x 8 = 64 20 x 8 = 160 0 64 224 28 28 8 224 8 224 - 160 (8 X 20) 20 X 8 = 160 64 …or… 64 - 64 (8 X 8) 8 X 8 = 64
draft_calculation_policy_-_updated_october_2015.docx