Calculation Policy
Addition
Phase 1 - Using practical equipment
Phase 2 – Drawing jumps on number
lines
3+2=5
Phase 3 – Partitioning
23 + 12 = 35
7 + 4 = 11
20 + 10 = 30
3+ 2= 5
+
30 + 5 = 35
Phase 5 – Standard column method
(starting with the units)
357 + 234 = 591
Phase 4 – Partitioning with columns
(easier numbers)
(harder numbers)
231 + 124 = 355
267 + 155 = 422
To calculate the final answer, children add up each row
(starting with the hundreds) – partitioning as necessary.
Subtraction
Phase 1 – Using practical equipment
5–2=3
Phase 2 – Counting back on a number
Phase 3 – Counting On –
line to find the difference if numbers
next multiple of 10
are below 20
42 – 35 = 7
11 - 4 = 7
5+2=7
Phase 5 – Standard column method
Phase 4 - Counting On – larger jumps
754 – 286 = 468
Multiplication
Phase 1 – Pictures
Phase 2 – Arrays and repeated
addition
3 lots of 3 = 9
Phase 3 – Grid method 1
35 x 6 = 210
4x2=8
4 x 2 or 4 + 4
2 x 4 or 2 + 2 + 2 + 2
Phase 5 – Long Multiplication
(Only to be taught in UKS2 starting with 4
digit by 1 digit)
Phase 4 – Grid method 2
47 x 35 = 1,645
2376 x 15 = 35, 640
A written method may be used to work
out the total if needed.
Division
Phase 1 – Sharing practically
Phase 2 – Grouping – single jumps
Phase 3 – Grouping – key facts
(without remainders to start with)
Share 6 sweets between 2 people
Use key facts, e.g. 10, 5, 2, 1 – not
20 ÷ 5 = 4
complicated jumps
49 ÷ 4 = 12 r1
Count the jumps to find the answer
Example with remainder
16 ÷ 3 = 5 r 1
Phase 5 – Bus- stop method (long
Phase 4 – Bus-stop method (short
division)
division)
2461 ÷ 14 = 175 r11
565 ÷ 3 = 188 r1
Children can express the remainder as
a decimal once comfortable with the
method.
Mental Mathematics
x or ÷ by 10,
X Tables
100, 1000
Counting
Division
Adding/
Inverse
Subtracting
Bonds
Doubling/
More/Less
up/down
Number
Rounding
Halving
Partitioning
Multiples