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MULTIPLICATION YR Count repeated groups of the same size (1s / 2s / 5s / 10s) Rapid Recall Recording AGE-RELATED EXPECTATIONS Practical / recorded using ICT (eg digital photos / pictures on IWB) Pictures / Objects Symbols 3 plates, 2 cakes on each plate: 3 plates, 2 cakes on each plate: Counting on in 1s and 2s Mental calculation With Jottings ref Overview of learning 5 Practical / recorded using ICT Y1 Pictures / Symbols Number tracks / Number line (modelled using bead strings) There are three sweets in one bag. How many sweets are there in five bags? Solve (practical) problems that involve combining groups of 2, 5 or 10 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 4 2 3 6 0 9 5 12 4 5 x 3 or 3 x 5 15 10 15 [ref Multiplication facts ITP] Expanded grid method Compact grid method 13 x 4 13 x 4 13 x 4 TU x O (eg 13 x 4) 40 Y4 TO x O (eg 16 x 8; 43 x 6) Compact grid method 43 x 6 (estimate: 40 x 6 = 240) 43 x 6 40 x 6 = 240 3 x 6 = 18 Expanded vertical 43 x 6 X 40 3 6 240 18 18 240 ( 3 x 6) (40 x 6) 258 Estimate first Grid method Expanded vertical Grid method Expanded vertical Compact vertical Refine and use efficient methods: HTO x O TO x TO O.t x O Use efficient methods: 2327 x 8 Y6 Integer x O (eg 2307 x 8) Decimal x O (eg 31.6 x 7) TO x TO HTO x TO 13 x 4 = 52 (estimate: 2300 x 10 = 23 000) x 2327 8 56 160 2400 16000 18616 Compact vertical 43 x 6 [ref Multiplication grid ITP] Y5 12 Partitioning (possible use of number line to record steps) 10 x 4 = 40 3 x 4 = 12 [ref Arrays spreadsheet] Partitioning 2 x table 10 x table Doubles up to 20 and multiples of 5 5 x table Count in 3s 2 x, 5 x and 10 x tables Show that multiplication of two numbers can be done in any order(commutative) and division of one number by another cannot Solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts Review 2x, 5x and 10x 4x table Double two digit numbers 8 x table 3 x table 6 x table or review others Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for twodigit numbers times one-digit numbers, using mental methods 4x, 8x tables 10 times bigger 3x, 6x and 12x tables Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers Recognise and use factor pairs and commutativity in mental calculations Also 14 x 2 as (10 x 2 and 4 x 2) Y3 Record, support and explain: Solve one--‐step problems involving multiplication and division,by calculating the answer using concrete objects,pictorial representations and arrays with the support of the teacher 6 Arrays Arrays 10 x 4 = 40 3 x 4 = 12 Count in 2s Count in 10s Doubles up to 10 Count in 5s Double multiples of 10 Count in 2s, 5s and 10s Compact vertical 258 1 Double larger numbers and decimals 3x, 9x tables 11x, 7 x tables 6x, 12 x tables 4x, 8x tables 100, 1000 times bigger 3x, 6x and 12x tables 10, 100, 1000 times smaller Double larger numbers and decimals 3x, 9x tables 11x , 7 x tables Partition to multiply mentally 6x, 12 x tables Multiply and divide numbers mentally drawing upon known facts Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000 Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers establish whether a number up to 100 is prime Multiplication facts up to 12 x 12 Partition to multiply mentally Double larger numbers and decimals Multiplication facts up to 12 x 12 Partition to multiply mental Perform mental calculations, including with mixed operations and large numbers Double larger numbers and decimals