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TEACHING WRITTEN CALCULATIONS

TEACHING WRITTEN CALCULATIONS. St. Augustine’s Catholic Primary. Introduction. Common approach – so the children don’t get confused Mainly start recording fromY1 onwards Stages relate to year groups but not all children at year group level

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TEACHING WRITTEN CALCULATIONS

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  1. TEACHING WRITTEN CALCULATIONS St. Augustine’s Catholic Primary

  2. Introduction • Common approach – so the children don’t get confused • Mainly start recording fromY1 onwards • Stages relate to year groups but not all children at year group level • Cover all calculations today – am available afterwards, or speak to class teacher • Presentation on school website

  3. ADDITIONStage 1 –Teachers demonstrate number lines 8 + 5 = 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13

  4. Stage 2 – Children use empty number lines starting with the largest number and counting on 34+23 = 57 34 44 54 55 56 57 34 44 54 57 34 54 57

  5. Stage 3 Make sure children count from largest number first. Example 38 + 86 = swap to 86 + 38 =

  6. Children begin to work in columns

  7. Stage 4 – Children begin to carry below the line

  8. Stages 5 and 6 Children use larger numbers Children use decimal numbers

  9. Have a go!! How would you use a number line to demonstrate 28 + 54 = Use the column method to calculate 345 + 67 =

  10. SUBTRACTIONStage 1 – Teachers demonstrate number lines 13 – 5 = 8 0 1 2 3 4 5 6 7 8 9 1011 12 131415

  11. Stage 2 – Children use empty number lines47-23 = 24 25 26 27 37 47 24 27 37 47 24 27 47

  12. Counting on 82-47 = 47 48 49 50 60 70 80 81 82

  13. Stage 3 – Children use column method71 – 46 =

  14. Stages 4,5 and 6 – Larger numbers, leading to short method

  15. Have a go!! How would you use a number line to demonstrate 58 – 24 = Use the short column method to calculate 654 – 482 =

  16. MULTIPLICATION – Stage 1 and 2Children must understand that multiplication is repeated addition 5x3 =5+5+5 0 5 10 15

  17. Need to understand that: 3x5 is the same as 5x3 0 3 6 9 12 15

  18. Stages 3 and 4 – Children continue to use number lines and arrays

  19. Grid method 23 x 8 =

  20. Short method38 x 7 =

  21. Grid method for TU X TU

  22. Stages 5 and 6 – Short method56 x 27 =Children approximate first:60 x 30 = 1800

  23. Have a go!!! Use the grid method to calculate 43 x 6 Try the short method Calculate 56 x 43 using the grid method and short method

  24. DIVISION – Stage 1 and 2 –Children understand that division is repeated subtraction -4 groups of 3 in 12 3 = 4 0 1 2 3 4 5 6 7 8 9 10 11 12 13

  25. Stage 3 – Children continue to use repeated addition on number lines including remainders 4 = 3 r 1 0 1 5 9 13

  26. Stage 4 – Short division using chunking method 72 3 = 24 72 - 30 10 x 42 - 30 10 x 12 - 6 2 x 6 6 2 x Answer = 24 0

  27. Stages 5 and 6 – Children use larger multiples and numbers 864 24 = 36 24)864 - 720 30 x 144 - 72 3 x 72 - 72 3 x Answer = 36 0

  28. Other Year 6 methods Please look at the leaflets/website. These are used if children are having difficulties with the chunking method

  29. Have a go!! Use a number line to demonstrate 14 7 = 2 Use the chunking method to work out 65 5 = 210 15 =

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