Park View Junior School
Calculation Policy- Addition
Calculation
Vocabulary/
Resources
Practical addition
Addition should be practised practically with physical
objects e.g. compare bears.
+
I have 3
monsters.
Jack gives
me 2 more.
=
How many
do I have
altogether?
2
3
4
5
6
7
4 add on 3 is 7.
Recording addition with pictures
The children can record the addition pictorially.
Then the addition sentence can be written underneath.
+
Resources:
Compare bears,
camels, counters
Vocabulary:
Jumps, count on,
add, ones
Using number tracks to count on
1
Vocabulary:
count on, add,
one more than,
how many
altogether? And
=
3+2=5
Once secure with adding 2 sets of pictures together, one of
the sets can be replaced for a number.
Resources:
Structured
number tracks
Vocabulary:
Add, plus, count
on
Resources:
Pictures
Mental
strategies
Counting on in
1s from any
number
Counting up to
20.
Counting on in
1s from any
number
Understanding
the number
name with
what the
number looks
like.
3+
=5
U + U on a number line by counting on
A numbered number line is used to count on.
Children should start with the larger number then add on
the smaller.
3+5=8
Vocabulary:
Count on, add,
sum, total, how
many altogether?
and, how many
more? score, +,
addition, double,
near double, one
more, two more,
ten more,
hundred more
Counting on
from a number.
Resources:
Structured
number line
TU + U on a number line
15 + 8 = 23
Vocabulary:
Count on, add,
sum, total, how
many altogether?
and, how many
more? score, +,
addition, double,
near double, one
more, two more,
ten more,
hundred more
Children start
to use a blank
number line
and use their
Number bonds
to 10 to make
jumps.
This could also be done mentally by partitioning the 8 into a Resources:
5 and 3. You could then add the 5 to the 15 to make 20, then Structured
number line,
add the 3 to make it 23.
hundred square
TU + TU on a number line
As well as putting the larger number first, the smaller
number is partitioned into tens and units.
86 + 57 =
86 + 50 + 7 = 86 + 10 + 10 +10 + 10 + 10 + 7 = 143
Or they may partition the 7 down to 4 + 3 to get to the
nearest 10.
86 + 50 + 7 = 86 + 10 + 10 +10 + 10 + 10 + 4 + 3 = 143
Vocabulary:
Count on, add,
sum, total, how
many altogether?
and, how many
more? score, +,
addition, double,
near double, one
more, two more,
ten more,
hundred more
Resources:
Hundred square
Partitioning
Add multiples
of 10, 100
Add near
multiples of 10
and 100 by
rounding and
adjusting
More confident children to add 10s in one jump.
Here, the 7 has been split into 4 + 3 to help bridge the 10s
barrier.
86 + 57 =
86 + 50 + 4 + 3 = 143
Vocabulary:
Count on, add,
sum, total, how
many altogether?
and, how many
more? score, +,
addition, double,
near double, one
more, two more,
ten more,
hundred more
Partitioning
numbers in
different ways.
9 being 4 + 5 or
6 + 3 or 8 + 1
Resources:
HTU + TU on a number line
536 + 48 =
536 + 40 + 4 +4 = 584
Vocabulary:
Count on, add,
sum, total, how
many altogether?
and, how many
more? score, +,
addition, double,
near double, one
more, two more,
ten more,
hundred more
Partitioning
numbers in
different ways.
9 being 4 + 5 or
6 + 3 or 8 + 1
Resources:
Vertical addition
When children start to consider adding numbers vertically
‘Hundred, tens and ones’ can be used. They will then go on
to understand that 10 ones can be exchanged for one ten).
Children will add the Units and then the Tens.
TO + TO vertically with symbols
Diennes should be used to support this method.
Vocabulary:
count on, add,
sum, total, how
many altogether?
and, how many
more? score, +,
addition, double,
near double, one
more, two more,
ten more,
hundred more,
Number bonds,
place value,
increase, carry,
exchange
Resources:
Diennes, place
value grid
TO + TO vertically with symbols where exchange is
needed
When the ones add up to a number greater than 9, you
draw out the ones and carry the tens.
36 + 48 =
Vocabulary:
count on, add,
sum, total, how
many altogether?
and, how many
more? score, +,
addition, double,
near double, one
more, two more,
ten more,
hundred more,
increase, carry,
exchange
Number bonds,
place value
Resources:
Dienes, place
value grid
Remember: 10 ones is the same as 1 ten
If the ones add up to 10 or more, you exchange 10 ones for
a ten.
Partitioning using the column method
The numbers are put into hundreds, tens and ones columns.
First add up the ones together, then the tens then the
hundreds. Then add the 3 partitioned answers to get your
final answer.
Vocabulary:
count on, add,
sum, total, how
many altogether?
and, how many
more? score, +,
addition, double,
near double, one
Partitioning
numbers into
HTO, number
bonds,
carrying, place
value.
more, two more,
ten more,
hundred more,
increase, carry,
exchange
+
Formal addition method (column addition)
It is laid out the same way as the chips and peas method
just with numbers instead of drawings
Adding decimal numbers
The addition of decimals should be introduced in the
context of money.
Resources:
Vocabulary:
count on, add,
sum, total, how
many altogether?
and, how many
more? score, +,
addition, double,
near double, one
more, two more,
ten more,
hundred more,
increase, carry,
exchange
Resources:
Dienes, place
value grid,
Vocabulary:
money, part of a
whole, fraction,
Resources:
Partitioning
numbers into
HTO.
Number bonds,
place value,