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Recording DELAWARE CP SCHOOL MULTIPLICATION YR NEW AGE-RELATED EXPECTATIONS Count repeated groups of the same size (1s / 2s / 5s / 10s) Practical / recorded using ICT (e.g digital photos / pictures on IWB) Practical / recorded using ICT Pictures / Objects Symbols 3 plates, 2 cakes on each plate: 3 plates, 2 cakes on each plate: Pictures / Symbols Number line (modelled using bead strings) There are three sweets in one bag. How many sweets are there in five bags? Solve (practical) problems Y1 2 x 3 or 3 x 2 [two, three times] or [three groups of two] 0 Multiplication as repeated addition and arrays Pictures / Symbols Repeated addition There are four apples in each box. How many apples in six boxes 5 x 3 or 3 x 5 Y2 0 2 3 6 0 9 5 12 4 10 15 [ref Multiplication facts ITP] Compact grid method 13 x 4 10 □□x □ □□□ x □ Partitioning (possible use of number line to record steps) 40 x 6 = 240 3 x 6 = 18 40 Expanded vertical 43 x 6 43 x 6 X 40 3 18 240 6 240 18 258 12 / x 10 / 100 (describe the effect) Recognise multiples of 2, 5 and 10 up to 1000 Doubles of numbers Derive / recall facts to 12 x 12 Numbers up to 1000 x 10 / 100 (whole number answers and understand the effect) 10 x 4 = 40 3 x 4 = 12 Compact vertical 43 x 6 ( 3 x 6) (40 x 6) 258 Multiples of numbers to 10 up to the 10th multiple 1 Estimate first Grid method Y5 Expanded vertical □□ □□□ Compact vertical Grid method Expanded vertical 2327 x 8 Y6 (estimate: 2300 x 10 = 23 000) x 2327 8 56 160 2400 16000 18616 Use known facts to derive other facts [Find common multiples of two numbers] □□ x □ (eg 12 x 9) □□ x □□ (eg 16 x 25) Doubles of □.□ / .□ Multiply whole numbers / decimals by 10 / 100 / 1000 Compact vertical Use efficient methods: Integer x U (eg 2307 x 8) Decimal x U (eg 31.6 x 7) TU x TU HTU x TU Recall quickly facts to 12 x 12 Use facts to multiply pairs of multiples of 10 / 100 237 x 4 (estimate 250 x 4 = 1000) 237 x 4 28 (7 x 4) 120 (30 x 4) 800 (200 x 4) 948 □□□ x □ □□ x □□ □.□ x □ □□ / □□□ Doubles of / numbers and multiples of 10 / 100 [ref Multiplication grid ITP] Refine and use efficient methods: □ □□ Derive / recall 2, 3, 4, 5, 6, 8 and 10 times tables (Derive related division facts) 3 13 x 4 = 52 43 x 6 (estimate: 40 x 6 = 240) □□ Also 14 x 2 as (10 x 2 and 4 x 2) 13 x 4 [ref Arrays spreadsheet] Compact grid method Doubles of numbers Doubles of numbers to 100 15 4 Y4 Count in 2s,3s, 5s and 10s Derive multiples of 2, 5 & 10 Relate to x facts (and derive related facts) 5 x 3 or 3 x 5 (eg 13 x 4) Record, support and explain: (see recording) 6 Arrays 10 x 4 = 40 3 x 4 = 12 Partitioning Count on in 1s, 2s, 5s and 10s Arrays □□x □ Y3 (see recording) Doubles of numbers up to a total of 20 4 2 Counting on in 1s and 2s (7 x 8) (20 x 8) (300 x 8) (2000 x 8) Use facts up to 12 x 12 to derive facts involving multiples of 10 / 100 (eg 80 x 30) and decimals (eg 0.8 x 7) Derive squares of numbers to 12 x 12 Derive corresponding squares of multiples of 10 TU x U U.t x U Integer x 1000 / 100 / 10 / 0.1 / 0.01