Calculation Policy - Walkley Primary School

Walkley Primary School - 2016 Calculation Policy
Addition
F1
Nursery
F2
Reception
Subtraction
Multiplication
Division
Separates groups of 3 or 4 objects in
different ways, knowing the total is the
same. Language of bigger, more.
See ACLIC-Amounts.
Can recognise a change in amounts of
objects. Language of less than,
smaller. Understand ‘gone’.
See ACLIC-Amounts.
Separates objects into groups.
Language of ‘lots’.
See ACLIC-Amounts.
Separates a group of three or four objects in
different ways, knowing the total is the same.
Beginning of sharing.
See ACLIC-Amounts.
Read - = +
Adding 0-20 using objects
Number bonds to 10
Count on to add
Subtracting 1 digit from 0-20 using
objects
Count back to subtract
Counting in lots of 10 and 2
Grouping objects as appropriate
Halving, sharing of amounts, objects for 10s and 2s
2, 5, 10’s
Arrays
Repeated addition
Inverse
(practical shown by photos, drawing etc.)
Introduce the symbols alongside language of groups of/lots of/multiplication/double
etc.
Share, lots of, groups, arrays
Repeated subtraction
1 step problems using multiplication and division
Partitioning and recombining numbers
0-100
Use x
Division facts of 2, 5, 10
Use ÷
Recognising odd and even numbers
Know that division is not commutative
e.g.
Y1
Read, write, interpret statements with + =
Represent and interpret number bonds to
20
Partition and recombine 0-20
Solve missing number problems such as
7= - -9
Y2
Recall and use addition facts to 20 and
related facts to 100 with partitioning and
recombining.
e.g.
38 + 44 =
8 + 4 = 12
30 + 40 = 70
70 + 12 = 82
Subtraction facts to 20.
Subtract 1 and 2 digit numbers 0-20.
Solve 1 step problems.
Use of number line to subtract.
Recall and use subtraction facts to 20
and related facts to 100.
Use objects, pictures and mental
calculation to subtract 2 digit and 1s, 2
digit and 10s, 2 2digits, using number
lines
e.g.
e.g. 17 x 5
10 x 5 = 50
7 x 5 = 35
50 + 35 = 85
Commutative law- multiplication can be done in any order
8 x 3 = 24
3 x 8 = 24
24  3 = 8
24  8 = 3
Progress to number line where appropriate
Use objects, pictures and mental
calculation to add 2 digit and 1s, 2 digit
and 10s, 2 2digits
Begin to solve 2 step problems
Y3
Add numbers up to 3 digits using column
addition.
Partitioning and recombining 3 digits.
e.g.
382
+429
11
100
700
811
Mentally add a 3 digit number and 1s, 3
digit number and 10s, 3 digit number and
100s.
Solve 2 step problems.
Subtract numbers up to 3 digits using
a number line
e.g.
Mentally subtract a 3 digit number
and 1s, 3 digit number and 10s, 3 digit
number and 100s
3x, 4x, 8x tables
Factors of these
grid method
e.g. 84 x 3 = 252
80
4
x
240
12
3
= 252
Division facts for 3x, 4x, 8x
Y4
Y5
Add numbers up to 4 digits using column
method.
e.g.
3727
+2194
11
110
800
5000
5921
4 digit partitioning and recombining.
Solve 2 step problems.
Subtract numbers up to 4 digits using
a number line
Solve 2 and 3 step problems.
Add whole numbers with more than 4
digits using column addition with carrying
digits.
e.g.
53768
+ 4471
Decomposition using column
subtraction
Times Tables up to 12x.-(6x,7x,9x,11x,12x)
mentally multiplying 1 digit x 1digit x 1digit
Multiply 2 x 1 digit, 2 x 2digit, 3 x 1 digit and 3 x 2 digit using the extended grid
method
e.g. 72 x 24
x
20
4
70 1400
280
+ 1680
40
2
8
Use place value and known facts to multiply and
divide up to 12 x tables (6x,7x,9x,11x,12x)
Divide by 0 and 1
Using the chunking method
e.g.
+ 48
=
8
120
600
1000
= 1728
Recognise and use factors of all multiplications
Square numbers, cube numbers
Multiply by 0 and 1
Formal written method used, extended grid method,
Division facts for up to 12x tables
Divide using decimals
Divide numbers up to 4 digit by 1 digit using formal
long division (chunking) for 2 digit numbers
e.g.
progress to long multiplication when appropriate
1 1
58239
x
4328
32
_____________________________________
1
8656
2
129840
1 1
138496
Y6
Solve complex problems involving all
operations.
Column addition with carrying including
decimals.
e.g.
£127.25
£321.41
+ £48.62
1 1
Solve complex problems involving all
operations.
Column subtraction including mixed
place value and decimals.
Multiply 4 digits x 1 or 2 digits
Using decimals
All factor pairs of a number including common factors of 2 numbers.
Prime numbers (identify to 100), recall primes to 19, prime factors and non-prime
(composite) numbers.
Use and recognise squared and cube numbers and use notation.
Multiply 4 digit x2 digit
x
4328
32
Division facts up to 12x tables
Divide 4 digit by 2 digit using formal long division
Division using decimals
e.g.
_____________________________________
2 6
237.14
- 18.23
218.91
1
8656
2
129840
1 1
138496
£497.28
Identify common factors, common multiples and prime numbers
Formal written method for long multiplication
Building on Y5
Interpret remainders as whole number remainders,
fractions or rounding dependent upon context.