Addition

What is addition?

Addition is represented by the symbol '+'.
Addition can be seen as augmentation ( X is 5 greater/bigger than Y) and aggregation (X and Y together are 10).
Addition is the inverse of subtraction.
The result of an addition is called the sum. The parts of an addition calculation are called addends.
Addition is commutative. This means that the sum of X + Y is equal to the sum of Y + X.
Addition is the first operation children become familiar with. This starts in EYFS and carries on all the way through to Year 6.
In order for students to add larger numbers confidently, they must have mastered their number bonds to 10 by the end of Reception.
When you are confident and successful at one step then move on to the next.

Step 1

Finding an amount of objects: Counting

End of EYFS

Step 2

Finding the total of objects: Counting

End of EYFS

Step 3

Adding the right amount:

Counting

End of EYFS

Step 4

How many altogether? Counting

End of EYFS

Step 5

Reading a number sentence

Year 1

Step 6

1 digit + 1 digit under 10

Year 1

Step 7

2 digit (under 20) + 1 using a number line

Year 1

Step 8

2 digit (under 20) + 2 or 3

Year 1

Step 9

2 digit (under 20) + 1 digit number

Year 1

Step 10

2 digit + 1

Year 2

Step 11

Multiple of 10 + 10

Year 2

Step 12

2 digit + 10

Year 2

Step 13

Multiple of 10 + 1 digit using dienes

Year 2

Step 14

2 digit + 1 digit using number a square

If numbers are close to a friendlier addend (eg: 198 + 400), we can use

Step 15

2 digit + 1 digit number crossing 10

If numbers are close to a friendlier addend (eg: 198 + 400), we can use

Step 16

Multiple of 10 + multiple of 10

If numbers are close to a friendlier addend (eg: 198 + 400), we can use

Step 17

2 digit multiple of 10 + 2 digit number

If numbers are close to a friendlier addend (eg: 198 + 400), we can use

Step 18

2 digit + multiple of 10 crossing 100 barrier

If numbers are close to a friendlier addend (eg: 198 + 400), we can use

Step 19

2 digit + 2 digit not crossing 10 barrier

Year 2 and year 3

Step 20

2 digit + 2 digit mentally

Year 2 and Year 3

Step 21

2 digit + 2 digit using partitioning

Year 2 and year 3

Step 22

3 digit + 2 digit not crossing 10 barrier using partitioning

Year 3

Step 23

3 digit + 2 digit using column or adjustment

Year 3

Step 24

3 digit + 3 digit not crossing 10 barrier

Year 3

Step 25

3 digit + 3 digit mentally

Year 4

Step 26

3 digit + 3 digit using adjustment

Year 4: You can go up to 4 digit numbers

Step 27

3 digit + 3 digit using money not crossing 10 barrier

Year 4

Step 28

3 digit + 3 digit using money crossing 10 barrier

Year 4

Step 29

1d.p + 1d.p not crossing place value

Year 5

Step 30

1d.p + 1d.p crossing place value

Year 5

Step 31

1 digit 1d.p + 1 digit 1d.p

column

Year 5

Step 32

1 digit 1d.p + 1 digit 1d.p

partitioning and mentally

Year 5

Step 33

1 digit 2d.p + 1 digit 2d.p

Year 5

Step 34

5 digit + 5 digit using column

Year 5

Step 35

Adding several numbers with different amount of digits

Year 6

Step 36

2d.p + 1d.p using column

Year 6

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