Kingsfield Primary
School
Year 5 - Calculation Policy
A parent’s guide
Addition
Written Method
Add and subtract whole numbers with more than 4 digits, including using formal written
methods (columnar addition and subtraction).
24369
+ 23186
47555
4.82
+ 2.39
7.21
11
1 1
Include money and measures
£ 2 3 . 5 9
+ £ 7 . 5 5
£ 3 1 . 1 4
1
1
1
2 3 , 4 8 1
+
1 , 3 6 2
2 4 , 8 4 3
Numbers should exceed 4 digits
1
Pupils should be able to add more than two values, carefully aligning place value columns.
19.01 + 3.65 + 0.7 =
19.01
3.65
+ 0.70
23.36
11
Subtraction
Written Method
Subtract at least 4 digits and decimals using contracted form
2
3
2
6
7
6
10
1 10 45 16
2 1 2 8
8, 9 2 8
10
1 16 89
3 7 2
7 9 6
.
.
.
With exchanging
With increasingly larger integers
1
Subtract with decimal values, including
mixtures of integers and decimals, aligning the
decimal point.
0
5
5
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Jottings to support mental methods
Partitioning
654 – 86
= 654 – 80 – 6
= 574 – 6
= 568
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Number lines
754 – 286 = 468
+14
+400
+54
____________________________________________________
286
300
700
754
__________________________________________________________________________________
Problem Solving
Solve addition and subtraction multi-step problems in context deciding which operations
and methods to use and why.
Multiplication
Written Methods
4 digits by one or 2 digits
Long multiplication for 2 digits
Short Column Multiplication for ThHTO x O
1612
X 4
6448
2
Carry digits recorded below the line
Long Column Multiplication for ThHTO x TO
36
X 24
144
720
864
Move over one space when multiplying with
tens and insert place holding zero
612
X 24
2448
12240
14688
__________________________________________________________________________________
Pictures / Marks / Concrete Apparatus – use to support when introducing new methods
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Number lines
47 x 6 = 282
346 x 7 = 2422
+240
+42
40 x 6
7x6
+ 2100
+280
+42
300 x 7
40 x 7
6x7
______________________________
____________________________________
0
0
240
282
2100
2380
2422
__________________________________________________________________________________
Arrays – use to support when introducing new methods
___________________________________________________________________________
Use multiplication and division as inverses e.g.:
80 X 9 = ; x 9 = 0.36;
172 ÷ 4 = ; 54 = 18
134 X 46 = ; 2.7 x = ;
(14 X 60) + ; 9 ÷ 36 = ;
(125 ÷ ) + 2 = 27; = 46
28
Problem Solving
Solve problems involving multiplication and division including scaling by simple fractions and
problems involving rates.
Solve problems involving combinations of all four operations, including understanding of the
equals sign, and including division for scaling by different fractions and problems involving
simple rates
Division
Written Methods
Divide up to 4 digits by a single digit, including those with remainders.
017 r4
11567
9
As examples now give rise to remainders, division must have a real life problem solving
context where children think about the meaning of the remainder and how to express it. As
a fraction? As a decimal? As a rounded number or value?
8
0
5
6 6 3
5
3 50 29
r
The answer to 5309 ÷ 8 could be expressed as
663 and five eights, 663r 5, as a decimal, or
rounded depending on the context.
5
__________________________________________________________________________________
Pictures / Marks / Concrete Apparatus – use to support when introducing new methods
__________________________________________________________________________________
Number lines
256 ÷7 = 36 r 4
+70
+140
+42
+4
10 x 7
20 x 7
6x7
_________________________________________________
0
70
210
252
Remainder
Quotients (answer to division calculation) to be expressed as remainders, rounding,
fractions or decimal fractions 61 ÷ 4 = 15¼ or 15.25 as appropriate.
61 ÷ 4
+40
+20
10 x 4
5x4
_________________________________________
0
40
60
61
Problem Solving
Solve problems involving multiplication and division where larger numbers are decomposed
into their factors.
Interpret non-integer answers to division by expressing results on different ways according
to the context, including with remainders, as fractions, as decimals or by rounding e.g. 98 ÷
4 = 24 r 2 = 24½ = 24.5
25.
Thank you for your support.