New
New
Year 1

# Represent the inverse relationship between addition and subtraction

I can interpret and represent the inverse relationship between addition and subtraction.

New
New
Year 1

# Represent the inverse relationship between addition and subtraction

I can interpret and represent the inverse relationship between addition and subtraction.

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## Lesson details

### Key learning points

3. When an amount is added to the start of a story, to 'undo' the change we must subtract the same amount.
4. When a given amount is subtracted from the start of a story, to 'undo' the change we must add the same amount.

### Common misconception

Children may look at the numbers but not be able to visualise the context, for example, they may try to undo 6 + 4 = 10 with 10 - 6 = 4

Use practical equipment to illustrate the importance of the number added and subtracted being the same. Link equations to contexts ensuring that children are secure with what each part of an equation represents when linked to a story context.

### Keywords

• Add - o find the total, or sum, by combining two or more parts (addends), or to increase an amount by adding another.

• Subtract - To partition one part from another (the subtrahend from the difference), or to decrease an amount by taking an amount away.

• Inverse - Inverse means the opposite in effect; the reverse of.

### 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.
This picture has been represented with the equation 2 + 5 = 7 Which number must be subtracted to undo the change?
2
7
Q2.
Match the addition equations to the inverse equation.
Correct Answer:6 + 2 = 8,8 − 2 = 6

8 − 2 = 6

Correct Answer:2 + 6 = 8,8 − 6 = 2

8 − 6 = 2

Q3.
First, there were 8 cakes on my plate. Then, 3 cakes were eaten. Now, there are 5 cakes on my plate. Write the equation which would undo the change made in this story?
Correct Answer: 5 + 3 = 8
Q4.
Look at the picture. Which of the following represents the story?
Correct Answer: An image in a quiz
Q5.
Which equation would undo the addition 5 + 1 = 6
1 + 5 = 6
Correct answer: 6 − 1 = 5
6 − 5 = 1
Q6.
Which equation would undo the subtraction 9 − 5 = 4
5 + 4 = 9
Correct answer: 4 + 5 = 9
9 − 4 = 5

## Exit quiz

### 6 Questions

Q1.
Aisha picks up 4 beads. First, she picks up 3 white beads. Then, she picks up 1 red bead. She represents this with this equation 3 + 1 = 4 What subtraction equation would she write to undo this?
Correct Answer: 4 − 1 = 3, 4-1=3
Q2.
What amount will make this representation correct? What number is missing from the number line?
Correct Answer: 4, Four , four
Q3.
Alex collects some conkers. First, he puts 6 conkers in his pocket but then 5 conkers fall out. Now, he has 1 left. 6 − 5 = 1 Which equation would undo this change?
5 + 1 = 6
Correct answer: 1 + 5 = 6
6 − 1 = 5
Q4.
Which pair of equations are being shown in this picture?
5 − 4 = 1 1 + 4 = 5
4 − 3 = 1 1 + 3 = 4
Correct answer: 4 − 1 = 3 3 + 1 = 4
Q5.
Aisha and Alex are telling their own 'First, then, now' stories for this picture. Who is correct?
Aisha says, "First I had 3 cubes. Then Alex gave me 6 more. Now I have 9 cubes."
Alex says, "First I had 9 cubes. Then I gave 6 to Aisha. Now I have 3 cubes."
Correct answer: Both Alex and Aisha are correct.
Q6.
I created a picture to show a 'First, then, so, then, now' story. How much was added to the amount at the start of the story?