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Teaching Written Calculations at St. Augustine’s Catholic Primary School

Learn the common approach for teaching addition, subtraction, multiplication, and division to children of different stages at St. Augustine’s Catholic Primary School. Teachers demonstrate methods, such as number lines and columns, to ensure comprehension and accuracy. Helpful resources on the school website.

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Teaching Written Calculations at St. Augustine’s Catholic Primary School

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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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