Canon Popham CE Primary Academy WHOLE SCHOOL PROGRESSION

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Canon Popham CE Primary Academy WHOLE SCHOOL PROGRESSION IN CALCULATION STRATEGIES IN MATHEMATICS GUIDANCE

Canon Popham CE Primary Academy WHOLE SCHOOL PROGRESSION IN CALCULATION STRATEGIES IN MATHEMATICS GUIDANCE FOR PARENTS & FAMILIES Tuesday 13 th October 2020 1

ADDITION 2

ADDITION 2

Stage 5 Using Dienes apparatus / place value counters alongside the formal written method.

Stage 5 Using Dienes apparatus / place value counters alongside the formal written method. 25 + 47 = 3

Stage 6: Compact column method 4

Stage 6: Compact column method 4

SUBTRACTION 5

SUBTRACTION 5

Stage 5: Making the link between the practical and column subtraction. 72 - 47

Stage 5: Making the link between the practical and column subtraction. 72 - 47 6

Stage 6: Compact method 7

Stage 6: Compact method 7

MULTIPLICATION 8

MULTIPLICATION 8

Stage 5: Expanded short multiplication 38 x 7 X 30 + 8 7 56

Stage 5: Expanded short multiplication 38 x 7 X 30 + 8 7 56 210 266 (7 x 8) (7 x 30) 9

Stage 6: Short multiplication 10

Stage 6: Short multiplication 10

Stage 6: Long multiplication 11

Stage 6: Long multiplication 11

DIVISION 12

DIVISION 12

Stage 6 Short Division 13

Stage 6 Short Division 13

Long Division Dangerous Monkeys Swipe Bananas!

Long Division Dangerous Monkeys Swipe Bananas!

Complete the following calculation: 2544 ÷ 12 Go onto the next slide to see

Complete the following calculation: 2544 ÷ 12 Go onto the next slide to see the division process for this calculation.

12 2 1 2 2 5 4 4 2 4 1 1 2 2

12 2 1 2 2 5 4 4 2 4 1 1 2 2 2 4 Write 2 2 above How above 1 above Now What the many theby 4 the drop 5 and is 12 12 s and 14 25 4 asthere down and are minus write there 12 isthe 24 below your 12? 4. inbelow 24? 14? 25? final thea the answer! 25. number. Let’s start by. Write dividing 25 they are both 214. digit

Complete the following calculation: 7397 ÷ 13 Go onto the next slide to see

Complete the following calculation: 7397 ÷ 13 Go onto the next slide to see the division process for this calculation.

13 5 7 3 6 5 8 7 1 1 6 9 9 7

13 5 7 3 6 5 8 7 1 1 6 9 9 7 8 1 1 7 Let’s start by. Write dividing 73 13 they are both 289. digit Write 9 5 above How above 6 above Now What the many theby 7 the drop 3 and is 13 s and 89 73 9 asthere down are and are minus write there 78 isthe 65 below your 78? 65? in 9. 7. inbelow 117? 89? 73? final thea the answer! 73. number.

Notes: We teach the children to ask themselves 4 questions – in steps about

Notes: We teach the children to ask themselves 4 questions – in steps about the calculations they are doing: - 1. Is it a calculation you can do in your head (mentally)? If yes, then do it mentally. If not, then … 2. Is it a calculation you can do with jottings? If yes, then do it using jottings. If no, then … 3. Is it calculation where you need a more formal written method? If yes, then choose the appropriate method. 19