TEACHING WRITTEN CALCULATIONS St Augustines Catholic Primary Introduction

TEACHING WRITTEN CALCULATIONS St. Augustine’s Catholic Primary

Introduction • Common approach – so the children don’t get confused • Mainly start recording from. Y 1 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

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

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

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

Children begin to work in columns + 6 7 2 4 1 1 (7+4) 8 0 (60 + 9 1 20)

Stage 4 – Children begin to carry below the line 7 + 8 1 8 3 4 2 2 5

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

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

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

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

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

Stage 3 – Children use column method 71 – 46 = - 7 0 1 4 0 6

Stages 4, 5 and 6 – Larger numbers, leading to short method - 7 5 4 2 8 6

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

MULTIPLICATION – Stage 1 and 2 Children must understand that multiplication is repeated addition 5 x 3 =5+5+5 0 5 10 15

Need to understand that: 3 x 5 is the same as 5 x 3 0 3 6 9 12 15

Stages 3 and 4 – Children continue to use number lines and arrays X 6 1 0 4

Grid method 23 x 8 = x 8 1 1 + 1 2 0 6 0 3 2 6 0 2 4 8 4 4

Short method 38 x 7 = 3 x 2 8 7 6 5 6

Grid method for TU X 2 0 5 0 1 0 0 0 3 5 0 7 1 1 + 1 6 1 1 3 5 0 1 6 2 5 1 2 0 4 2 6 2

Stages 5 and 6 – Short method 56 x 27 = Children approximate first: 60 x 30 = 1800 5 6 X 2 7 3 9 2 56 x 7 1 1 2 0 56 x 20 1 5 1 2 1

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

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

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

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

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

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

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