New
New
Year 3

Use the additive relationship to rearrange addition equations

I can rearrange addition equations.

New
New
Year 3

Use the additive relationship to rearrange addition equations

I can rearrange addition equations.

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Lesson details

Key learning points

  1. Equations can be represented using part-part-whole or bar models.
  2. The sum is the whole and the addends are parts.
  3. Equations can be written starting with the addends or with the sum.

Common misconception

Pupils may struggle starting equations with the sum. They may think = means 'the answer is..'

Ensure that children understand that 'equals' means that the equation balances (i.e. both sides have the same value.) This could be achieved through using balance scales and attaching the idea of equals with balance.

Keywords

  • Addend - An addend is a number added to another.

  • Sum - The the total when numbers are added together.

  • Equation - An equation shows that one number or calculation is equal to another.

Encourage pupils to use the terms 'sum' and 'whole' interchangeably. They should understand that an addend is a part. For extra challenge, pupils can find more than one answer to the open-ended problems in Task B, where they are only given the sum.
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).

Video

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6 Questions

Q1.
What is 15 + 10 =
Correct Answer: 25
Q2.
What is 400 + 100 = ___
401
410
Correct answer: 500
600
Q3.
What is 5 + 3 + 5 =
Correct Answer: 13, thirteen
Q4.
What is 60 + 60 =
Correct Answer: 120
Q5.
What is the missing number: 47 + 3 = ___
40
49
Correct answer: 50
51
Q6.
Which calculation give the largest total?
Correct answer: 13 + 6 =
15 + 3 =
16 + 1 =

6 Questions

Q1.
What is the sum of 40 and 50?
Correct Answer: 90
Q2.
What are the addends in this equation: 130 + 80 = 210
210
Correct answer: 130
Correct answer: 80
+
Q3.
Which equations are represented by the bar model?
An image in a quiz
Correct answer: 40 + 30 = 70
Correct answer: 70 = 30 + 40
30 + 70 = 110
Correct answer: 70 = 30 + 40
Q4.
Look at the bar model. What is the missing sum?
An image in a quiz
Correct Answer: 45, forty-five
Q5.
Which pairs of addends could complete the bar model?
An image in a quiz
9 and 14
Correct answer: 11 and 13
Correct answer: 12 and 12
15 and 10
Q6.
Which pairs of addends could complete the bar model?
An image in a quiz
60 and 120
Correct answer: 80 and 110
90 and 90
Correct answer: 95 and 95