Pollyplatt Primary School
Calculation Policy
Author: Ben Wray
Reviewed: January 2016
1
+ Addition +
+ Subtraction +
Physical 1
Physical 1
Counting sets of objects. Combining 2 sets of objects into 1 group and counting
practically
Practically get a group of objects and take some away.
Vocabulary: subtract, subtraction, take away, minus, decrease, leave, how many are
left/left over?, difference between, half, halve, how many more/ fewer is../than..?, how
much more/less is…?, is the same as, equals, sign, tens boundary, hundreds boundary,
units/ones boundary, tenths boundary, in- verse.
Vocabulary: add, addition, more, plus, increase, sum, altogether, double, near double,
difference, same as, equals sign, tens boundary, hundreds boundary, units/ones boundary
tenths boundary, inverse, how many more to make..?, is the same as.
Examples:
Examples:
2
+ Addition +
+ Subtraction +
Pictorial 1
Pictorial 1
Drawing pictures/dots – informal jottings. Then counting how many altogether
Jottings. Draw a set of objects and then cross some out.
Vocabulary: add, addition, more, plus, increase, sum, altogether, double, near double,
difference, same as, equals sign, tens boundary, hundreds boundary, units/ones boundary
tenths boundary, inverse, how many more to make..?, is the same as.
Vocabulary: subtract, subtraction, take away, minus, decrease, leave, how many are
left/left over?, difference between, half, halve, how many more/ fewer is../than..?, how
much more/less is…?, is the same as, equals, sign, tens boundary, hundreds boundary,
units/ones boundary, tenths boundary, in- verse.
Examples:
Examples:
+
3
+ Addition +
+ Subtraction +
Physical 2
Physical 2
Partitioned numbers are written under one another (without bridging ten and
one hundred.)
Partitioned numbers are written under one another (no exchanging).
Vocabulary: subtract, subtraction, take away, minus, decrease, leave, how many are left/
left over?, difference between, half, halve, how many more/ fewer is../than..?, how much
more/less is…?, is the same as, equals, sign, tens boundary, hundreds boundary, units/
ones boundary, tenths boundary, in- verse.
Vocabulary: add, addition, more, plus, increase, sum, altogether, double, near double,
difference, same as, equals sign, tens boundary, hundreds boundary, units/ones boundary
tenths boundary, inverse, how many more to make..?, is the same as.
Examples:
Examples:
28 - 13
23 + 12
20 + 3
20 + 8
10 2
30 + 5 = 35
10 + 3 10 + 5 = 15
4
+ Addition +
+ Subtraction +
Physical 3
Physical 3
Partitioned numbers are written under one another. (with bridging of ten and
one hundred.). Units/ones are added and recorded horizontally.
Exchange for partitioned 2 digit numbers., starting at the units/ones.
Vocabulary: subtract, subtraction, take away, minus, decrease, leave, how many are
left/left over? difference between, half, halve, how many more/ fewer is../than..?, how
much more/less is…?, is the same as, equals, sign, tens boundary, hundreds boundary,
units/ones boundary, tenths boundary, in- verse.
Vocabulary: add, addition, more, plus, increase, sum, altogether, double, near double,
difference, same as, equals sign, tens boundary, hundreds boundary, units/ones boundary
tenths boundary, inverse, how many more to make..?, is the same as.
Examples:
56 + 39
50 + 6
30 9
80 + 15 = 95
3
1
Examples:
2
1
2
4
3
4
5
+ Addition +
+ Subtraction +
Profound 1
Profound 1
To use place value columns to record the totals of units/ones and tens
vertically.
Exchange for partitioned 3 digit numbers, starting at the units/ones.
Vocabulary: subtract, subtraction, take away, minus, decrease, leave, how many are
left/left over?, difference between, half, halve, how many more/ fewer is../than..?, how
much more/less is…?, is the same as, equals, sign, tens boundary, hundreds boundary,
units/ones boundary, tenths boundary, in- verse.
Vocabulary: add, addition, more, plus, increase, sum, altogether, double, near double,
difference, same as, equals sign, tens boundary, hundreds boundary, units/ones boundary
tenths boundary, inverse, how many more to make..?, is the same as.
Examples:
Examples:
6
+ Addition +
+ Subtraction +
Profound 2
Profound 2
Use of the formal written method for addition.
Use of the formal written method for subtraction.
Vocabulary: add, addition, more, plus, increase, sum, altogether, double, near double,
difference, same as, equals sign, tens boundary, hundreds boundary, units/ones boundary
tenths boundary, inverse, how many more to make..?, is the same as.
Vocabulary: subtract, subtraction, take away, minus, decrease, leave, how many are
left/left over?, difference between, half, halve, how many more/ fewer is../than..?, how
much more/less is…?, is the same as, equals, sign, tens boundary, hundreds boundary,
units/ones boundary, tenths boundary, Inverse.
Examples:
Examples:
7
x Multiplication x
÷ Division ÷
Physical 1
Physical 1
Counting practically in repeated groups/patterns.
Share and group objects equally.
Vocabulary: counting, steps, each, doubling, scaling, times, twice as big, times as big,
count on in, lots of, groups of, x, times, multiply, multiplied by, multiple of, once, twice,
three times...ten times,
times as (big, long, wide..so on), repeated addition, array, row,
column, double, group in pairs, threes...tens, equal groups of, multiplication, product,
inverse.
Vocabulary: halve, share, share equally, one each, two each, three each…, divide,
division, divided by, divided into, left, left over, remainder, quotient, divisible by, inverse,
exchange, repartition, divisor, scaling, repeated subtraction, array, row, column, equal
groups of __, equal groups.
Examples:
Examples:
4 x 3 = 12
8
x Multiplication x
÷ Division ÷
Physical 2
Physical 2
Repeated addition. This can be represented by counting groups of objects.
Repeated subtraction. This can be represented by counting back on a number line.
Vocabulary: counting, steps, each, doubling, scaling, times, twice as big, times as big,
count on in, lots of, groups of, x, times, multiply, multiplied by, multiple of, once, twice,
three times...ten times, times as (big, long, wide..so on), repeated addition, array, row,
column, double, group in pairs.
Vocabulary: halve, share, share equally, one each, two each, three each…, divide,
division, divided by, divided into, left, left over, remainder, quotient, divisible by, inverse,
exchange, repartition, divisor, scaling, repeated subtraction, array, row, column, equal
groups of __, equal groups.
Examples:
Examples:
4 x 3 = 12
9
x Multiplication x
÷ Division ÷
Physical 3/ Pictorial 2
Physical 3/ Pictorial 2
Arrays
Arrays, using inverse knowledge.
Vocabulary: counting, steps, each, doubling, scaling, times, twice as big, ___ times as
big, count on in ___ , lots of, groups of,x, times, multiply, multiplied by, multiple of, once,
twice, three times...ten times, times as (big, long, wide..so on), repeated addition,
array, row, column, double, group in pairs, threes...tens, equal groups of, multiplication,
product, inverse.
Vocabulary: halve, share, share equally, one each, two each, three each…, divide,
division, divided by, divided into, left, left over, remainder, quotient, divisible by, inverse,
exchange,
divisor, scaling, repeated
array, row, column, equal
groups of __,
equal groups.
Examples:
2x3
Examples:
3x 2
100 ÷ 10 =
10
x Multiplication x
÷ Division ÷
Pictorial 3
Pictorial 3
of arrays and numbers.
of arrays and numbers.
Vocabulary:
steps, each, doubling, scaling,
twice as big,
mes as big,
count on in , lots of, groups of,x,
by,
of, once,
twice, three
times,
times as (big, long, wide..so on), repeated
array, row, column, double, group in pairs, threes...tens, equal groups of,
product, inverse.
Vocabulary: halve, share, share equally, one each, two each, three each…, divide,
division, divided by, divided into, left, left over, remainder, quotient, divisible by, inverse,
exchange,
divisor, scaling, repeated
array, row, column, equal
groups of __,
equal groups.
Examples:
Examples:
70 ÷ 5 =
50 ÷ 5 = 10
20 ÷ 5= 4
10 + 4 = 14
11
x Multiplication x
÷ Division ÷
Profound 1
Profound 1
Grid method to
Short division for a one digit divisor.
Vocabulary:
steps, each, doubling, scaling,
twice as big,
mes as big,
count on in , lots of, groups of,x,
by,
of, once,
twice, three
times,
times as (big, long, wide..so on), repeated
array, row, column, double, group in pairs, threes...tens, equal groups of,
product, inverse.
Vocabulary: halve, share, share equally, one each, two each, three each…, divide,
division, divided by, divided into, left, left over, remainder, quotient, divisible by, inverse,
exchange,
divisor, scaling, repeated
array, row, column, equal
groups of __,
equal groups.
Examples:
1
Examples:
2
3
12
x Multiplication x
÷ Division ÷
Physical 3
Physical 3
Grid method to multiply two, two digit numbers.
of arrays and numbers.
Vocabulary: counting, steps, each, doubling, scaling, times, twice as big,
times as big,
count on in
, lots of, groups of,x, times, multiply, multiplied by, multiple of, once,
twice, three times...ten times,
times as (big, long, wide..so on), repeated addition,
array, row, column, double, group in pairs, threes...tens, equal groups of, multiplication,
product, inverse.
Examples:
Vocabulary: halve, share, share equally, one each, two each, three each…, divide,
division, divided by, divided into, left, left over, remainder, quotient, divisible by, inverse,
exchange,
divisor, scaling, repeated
array, row, column, equal
groups of __,
equal groups.
Examples:
13 x 12 =
156 ÷ 12 =
1
1
2
2
13
x Multiplication x
÷ Division ÷
Pictorial 4
Pictorial 4
Grid method to multiply two, two digit numbers.
of arrays and numbers.
Vocabulary: counting, steps, each, doubling, scaling, times, twice as big,
times as big,
count on in
, lots of, groups of,x, times, multiply, multiplied by, multiple of, once,
twice, three times...ten times,
times as (big, long, wide..so on), repeated addition,
array, row, column, double, group in pairs, threes...tens, equal groups of, multiplication,
product, inverse.
Examples:
Vocabulary: halve, share, share equally, one each, two each, three each…, divide,
division, divided by, divided into, left, left over, remainder, quotient, divisible by, inverse,
exchange,
divisor, scaling, repeated
array, row, column, equal
groups of __,
equal groups.
Examples:
13 x 12 =
156 ÷ 12 =
1
1
2
2
14
x Multiplication x
÷ Division ÷
Profound 2
Profound 2
Grid method to multiply two, two digit numbers.
Chunking, subtracting multiples of the divisor after creating jottings.
Vocabulary: counting, steps, each, doubling, scaling, times, twice as big,
times as big,
count on in
, lots of, groups of,x, times, multiply, multiplied by, multiple of, once,
twice, three times...ten times,
times as (big, long, wide..so on), repeated addition,
array, row, column, double, group in pairs, threes...tens, equal groups of, multiplication,
product, inverse.
Vocabulary: halve, share, share equally, one each, two each, three each…, divide,
division, divided by, divided into, left, left over, remainder, quotient, divisible by, inverse,
exchange, repartition, divisor, scaling, repeated subtraction, array, row, column, equal
groups of __, equal groups.
Examples:
Examples:
15
x Multiplication x
÷ Division ÷
Profound 3
Profound 3
Formal written method for multiplication.
Formal written method for division.
Vocabulary: counting, steps, each, doubling, scaling, times, twice as big, times as big,
count on in
, lots of, groups of,x, times, multiply, multiplied by, multiple of, once,
twice, three times...ten times,
times as (big, long, wide..so on), repeated addition,
array, row, column, double, group in pairs, threes...tens, equal groups of, multiplication,
product, inverse.
Vocabulary: halve, share, share equally, one each, two each, three each…, divide,
division, divided by, divided into, left, left over, remainder, quotient, divisible by, inverse,
exchange, repartition, divisor, scaling, repeated subtraction, array, row, column, equal
groups of __, equal groups.
Examples:
Examples:
16