asked to get into three groups division is and find out that there are five Recall and not people in each 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, 4X and even by 1-digit number, efficiently. and and 8X-tables. numbers to representing this 96 6 = 16 backwards 100 in efficiently on a Understand that multiplication in 2s, 3s, 4s, reference to number line: can be undertaken by 6 x 6 = 36 10 x 6 = 60 5s, 8s and structured partitioning numbers, e.g. 12 X 4 10s from apparatus. = 10 X 4 + 2 X 4 zero. Introduce the structure of Recall & use 0 36 96 scaling: e.g. Find a ribbon multiplication that is 4 times as long as facts for the the blue ribbon. 2X, 3X, 4X, 5X, 8X and 10X tables. 2cm 8cm 4: Counting Derive factor pairs of numbers Recall & use Dividing a 3/2-digit Children use an empty number line to chunk forwards using models and images. multiplication by 1-digit number, efficiently. and for all representing this 224 ÷ 8 = 28 backwards Know what happens when a times-tables efficiently on a in 2s, 3s, 4s, number is multiplied by zero or up to 12 X number line, also 8 x 8 = 64 20 x 8 = 160 5s, 7s, 8s, one. 12. in relation to long 10s, 25s division: and 1000s Use reordering to multiply 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…
asked to get into three groups and find out that there are five people in each group.” Recall and use multiplication facts for the 2X, 5X and 10X-tables. division is not 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 facts 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 numbers. Recall & use multiplication for all times-tables up to 12 X 12. Dividing a 3/2-digit 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