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 Cover all calculations today – am available afterwards, or speak to class teacher Presentation on school website

ADDITION Stage 1 –Teachers demonstrate number lines =

Stage 2 – Children use empty number lines starting with the largest number and counting on =

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

Children begin to work in columns (7+4) 80(60 +20) 91

Stage 4 – Children begin to carry below the line

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

Have a go!! How would you use a number line to demonstrate = Use the column method to calculate =

SUBTRACTION Stage 1 – Teachers demonstrate number lines 13 – 5 =

Stage 2 – Children use empty number lines =

Counting on =

Stage 3 – Children use column method 71 – 46 =

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

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 5x3 =

Need to understand that: 3x5 is the same as 5x

Stages 3 and 4 – Children continue to use number lines and arrays X104 6

Grid method 23 x 8 = x

Short method 38 x 7 = 38 x

Grid method for TU X TU X

Stages 5 and 6 – Short method 56 x 27 = Children approximate first: 60 x 30 = X x x

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 =

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

Stage 4 – Short division using chunking method 72 3 = 24 3) x x x 6 62 x Answer = 24 0

Stages 5 and 6 – Children use larger multiples and numbers = 36 24) x x x Answer = 36 0

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 = =