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Download DIVISION AGE-RELATED EXPECTATIONS YR Share objects into
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Recording DIVISION YR AGE-RELATED EXPECTATIONS Practical / recorded using ICT (eg digital photos / pictures on IWB) Share objects into equal groups and count how many in each group Rapid Recall Pictures / Objects Symbols 6 cakes shared between 2 6 cakes shared between 2 6 cakes put into groups of 2 6 cakes put into groups of 2 ref: Overview of learning 10 Y1 Solve (practical) problems that involve sharing into equal groups Practical / recorded using ICT Pictures / Symbols Number tracks / Number line (modelled using bead strings) How many apples in each bowl if I share 12 apples between 3 bowls? Y2 82=4 62=3 0 Division as sharing and grouping (including remainders) 2 4 Number lines / Arrays Partitioning Four eggs fit in a box. How many boxes would you need to pack 20 eggs? 15 5 28 2 20 2 = 10 82= 4 0 5 Count back in 2s Count back in 10s Halves up to 10 Count back in 5s Halve multiples of 10 How many 2s? 5s? 10s? 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 Division facts (2 x table) Division facts (10 x table) Halves up to 20 Division facts (5 x table) Count back in 3s Review division facts (2x, 5x, 10x table) 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 Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental methods 6 Pictures / Symbols TO O (where divisor is 2, 5 or 10) 10 15 [ref Grouping ITP] TO O (where divisor is 2, 3, 4, 5, 6 or 10) Number lines (start from zero) Partitioning (multiples of the divisor) 33 5 = 6 r3 50 4 = 12 r2 10 x 4 = 40 2x4= 8 Y3 Round remainders up / down, depending on the context Record, support and explain: Y4 (48) [ref Number dials ITP] 0 5 10 15 20 25 30 Partitioning (multiples of the divisor) Grouping (vertical layout) 96 6 = 16 67 4 = 16 r3 96 7 10 x 6 Review division facts (2x, 5x, 10xtable) Division facts (4 x table) Halve two digit numbers Division facts (8 x table) Division facts (3 x table) Division facts (6 x table) or review other 33 Number lines (start from zero) TU O (eg 98 6) 6x6 10 x 4 = 40 6 x 4 = 24 Division facts (4x, 8x tables) 10 times smaller Division facts (3x, 6 x, 12x tables) Halve larger numbers and decimals Division facts (3x, 9x tables) (64) Division facts (11x, 7x tables) 0 60 96 Division facts (6x, 12x tables) Grouping (expanded) Grouping (efficient) Estimate first Refine and use efficient methods: HTO O Grouping (efficient) Partitioning ‘Short’ division 247 7 = 35 r2 291 3 (estimate: 270 3 = 90) 30 x 7 = 210 5 x 7 = 35 ‘Empty’ number line (start from 0) may be used to record calculation strategy Y5 (245) Integer O (eg 123 7) Decimal O (eg 27.6 8) HTO TO ‘Empty’ number line may still be used Multiply and divide numbers mentally drawing upon known facts Perform mental calculations, including with mixed operations and large numbers with mixed operations and large numbers ‘Short’ division Partitioning ‘Long’ division Division facts (up to 12 x 12) 43 .4 7 (estimate: 42 7 = 6) 43.4 7 = 6.2 560 24 (estimate: 550 25 = 22) Partition to divide mentally Halve larger numbers and decimals Division facts (up to 12 x 12) 6 .2 7 43 .’4 6 x 7 = 42 0.2 x 7 = 1.4 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 Division facts (4x, 8x tables) 100, 1000 times smaller Division facts (3x, 6 x, 12x tables) Partition to divide mentally Halve larger numbers and decimals Division facts (3x, 9x tables) 100, 1000 times smaller Review division facts (11x, 7x tables) Partition decimals to divide mentally Review division facts (6x, 12x tables) Halve larger numbers and decimals Use efficient methods: Y6 Mental calculation (43.4) Partition to divide mentally Halve larger numbers and decimals Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
