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Calculation Policy

This policy aims to streamline methods, enhance cross-school links, and ensure smooth progression from reception to year 6 in mathematics education. It introduces mental and written strategies for addition, subtraction, multiplication, and division, emphasizing flexibility and understanding.

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Calculation Policy

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  1. Calculation Policy

  2. Aims • To reduce the number of methods being taught. • To increase the links between the Infants and Junior school. • To create a clear progression from reception to year 6.

  3. A few notes In year 3 children are encouraged to use jottings and work out calculations mentally. Nearly all “traditional” methods are introduced in year 4 and 5. The methods are not “set in stone” if a class or child is able to move onto the next stage in a calculation they will be taught this. Likewise, if a child is struggling an earlier method maybe used.

  4. Mental Strategies Written Strategies

  5. Addition • Counting on +5 14 19 14 + 5 = 19

  6. Addition • Counting on +2 +10 26 14 24 14 + 12 = 26

  7. Addition • Counting on +8 +20 265 237 257 237 + 28 = 265

  8. Addition • Traditional method (from year 4) 129 + 22 151

  9. Subtraction • Counting up +8 45 37 45 - 37 = 8

  10. Subtraction • Counting up +10 +8 34 16 26 34 – 16 = 18

  11. Subtraction • Complementary addition +100 +24 +14 224 100 200 86 224 – 86 = 138

  12. Subtraction • Written method (from year 5) 54 (100) 14 (86) 68 154 – 86 = 68

  13. Subtraction • Written method – Borrowing • (from year 5) 14 1 6 754 286 468 754 – 286 = 468

  14. Multiplication • Using multiplication facts • You need to know your tables. • Year 3 2,3,4,5,10 • Year 4 6,7,8,9 • Year 5 11,12

  15. Multiplication • Using multiplication facts 13 × 9 = ? 13 × 10 (-13) 13 x 9 = 117

  16. Multiplication • Using multiplication facts 13 × 11 = ? 13 × 10 (+13) 13 x 11 = 143

  17. Multiplication x • Grid Method 12 6 = ? x 10 2 6 100 20 Answer = 100 + 20 = 120

  18. Multiplication x • Grid Method 132 5 = ? x 30 2 100 5 500 150 10 Answer = 500 + 150 + 10 = 660

  19. Multiplication x • Grid Method 132 12 = ? x 30 2 100 20 1000 300 10 4 2 200 60 Answer = 1000 + 200 + 300 + 60 + 20 +4

  20. Multiplication • Traditional Method (from year 5) 23 × 6 138 1 Answer = 138

  21. Division • Sharing 13 ÷ 4 = 3 r 1

  22. Division • Grouping + 40 +1 10 groups 41 ÷ 4 = 10 r 1

  23. 10 x 4 - 3 - 40 Division • Grouping 0 3 43 43 ÷ 4 = 10 r 3

  24. Division • Traditional Method (from year 4) 2 7 3 8 1 2 81 ÷ 3 = 27

  25. Summary of strategiesChildren should always estimate first.Children should decide whether a method is appropriate.Children should be taught and reminded to use the correct language.Children should always check their answer, preferably using a different method e.g. The inverse operation.Children who make persistent mistakes should return to the method that they can use accurately.Children still need to know number and multiplication facts by heart.

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