New
New
Year 3

# Understand the relationship between addition and subtraction

I can understand the relationship between addition and subtraction.

New
New
Year 3

# Understand the relationship between addition and subtraction

I can understand the relationship between addition and subtraction.

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## Lesson details

### Key learning points

1. Equations can be represented using part-part-whole or bar models
2. The sum in an addition and the minuend in a subtraction both represent the whole
3. The addends in an addition and the subtrahend and difference in a subtraction both represent parts

### Common misconception

Pupils may find it more difficult to understand equations that start with the whole (e.g. 20 = 50 - 30)

Emphasise the need for balance in equations. To be equal, both sides must have the same value.

### Keywords

• Minuend - The minuend is the number being subtracted from.

• Subtrahend - A subtrahend is a number subtracted from another.

• Difference - The difference is the result after subtracting one number from another.

Base ten blocks may be helpful in representing parts and combining them to make a whole. Bar models will help pupils represent equations and understand the relationship between parts and the whole.
Teacher tip

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
Which numbers in the equation are addends? 28 + 26 = 54
54
Q2.
What number is the sum in this equation? 76 = 60 + 16
Q3.
What sum is missing from this bar model?
Q4.
Match the sum and the addends.

100

93

60

140

Q5.
Which other addition equations match this calculation? 150 + 70 = 220
Correct answer: 70 + 150 = 220
Correct answer: 220 = 70 + 150
220 − 70 = 150
Correct answer: 220 = 150 + 70
Q6.
Which equations have a sum of 200?
Correct answer: 100 + 100 =
150 + 60 =
110 + 110 =
Correct answer: 125 + 75 =

## Exit quiz

### 6 Questions

Q1.
What number is the subtrahend in this equation? 36 − 16 = 20
36
20
Q2.
Match the names to the numbers in this equation: 125 − 50 = 75

50

75

125

Q3.
What number is missing from the bar model?
Correct Answer: 290, two hundred and ninety
Q4.
Match the addition and subtraction equations by looking for the same whole and the same parts.
Correct Answer:60 + 90 = 150,150 − 60 = 90

150 − 60 = 90

Correct Answer:130 = 90 + 40,90 = 130 − 40

90 = 130 − 40

Correct Answer:80 + 50 = 130,130 − 80 = 50

130 − 80 = 50

Correct Answer:150 = 80 + 70,80 = 150 − 70

80 = 150 − 70

Q5.
Which equations are represented by the bar model?
Correct answer: 50 + 54 = 104
Correct answer: 104 − 54 = 50
104 = 52 + 52
Correct answer: 54 = 104 − 50
Q6.
Which equations could be represented by this bar model?
Correct answer: 120 = 250 − 130
250 + 20 = 270
250 = 350 − 100
Correct answer: 250 = 110 + 140