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      Use the additive relationship to rearrange addition equations

      Lesson details

      Learning outcome

      I can rearrange addition equations.

      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.

      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.

      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.

      Teacher tip

      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.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      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 gives 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

      To help you plan your 3 maths lesson on: Use the additive relationship to rearrange addition equations, download all teaching resources for free and adapt to suit your pupils' needs...