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      Explain that the addends can be added in any order

      Lesson details

      Learning outcome

      I can explain that the addends can be added in any order.

      Key learning points

      1. When we add three numbers, the sum will be the same whichever pair of addends we add first.
      2. The order of the addends can change and the sum will stay the same.

      Keywords

      • Addends - Any numbers that are added together.

      • Efficient - Not wasting time or effort. An efficient strategy is one we can carry out easily.

      • Strategy - A plan or method to achieve a specific goal.

      Common misconception

      Children may not understand that either pair of addends can be added first and the sum will remain the same.

      Use concrete materials to represent the addends for children to explore, discussing what is the same (the addends) and what is different (the pair being added first).

      Teacher tip

      This is the first time they will be exploring the associative law. Children do not need to know the term 'associative law', they just need to understand that they can add any pair of numbers first and that this will not change 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.
      Look at each expression and match it to the correct description.

      Correct Answer:3 + 6,less than 10
      Correct Answer:7 + 3,equal to 10
      Correct Answer:6 + 6,greater than 10

      Q2.
      Match the addition expressions that are equal to each other.

      Correct Answer:2 + 5,5 + 2
      Correct Answer:7 + 4,4 + 7
      Correct Answer:1 + 8,8 + 1
      Correct Answer:10 + 3,3 + 10

      Q3.
      Which of the equations could not represent this ten frame?

      An image in a quiz
      4 + 2 = 6
      6 = 2 + 4
      6 - 4 = 2
      Correct answer: 6 = 4 - 2

      Q4.
      Look at this ten frame. Altogether there are 9 counters. The addends are 2, 4 and

      An image in a quiz
      Correct Answer: 3

      Q5.
      Match each number to the correct part of the model.

      An image in a quiz
      Correct Answer:1,addend
      Correct Answer:8,sum of the addends
      Correct Answer:3,addend
      Correct Answer:4,addend

      Q6.
      Which equation is shown on this number line?

      An image in a quiz
      3 + 5 + 6 = 14
      Correct answer: 3 + 2 + 1 = 6
      3 + 5 + 1 = 6

      6 Questions

      Q1.
      We can add numbers in any order. We say that addition is __________

      equal
      subtraction
      Correct answer: commutative

      Q2.
      If you begin by adding the first two addends together, what would your calculation now be?

      An image in a quiz
      1 + 8 = 9
      Correct answer: 6 + 3 = 9
      4 + 5 = 9

      Q3.
      Match the steps the three different children took to find the number of pieces of fruit altogether.

      An image in a quiz
      Correct Answer:First, add together 5 and 2,,which is equal to 7, then add 3
      Correct Answer:First, add together 2 and 3,,which is equal to 5, then add 5
      Correct Answer:First, add together 5 and 3,,which is equal to 8, then add 2

      Q4.
      Laura has been adding three addends by combining different pairs. Match each starting expression to her new equation.

      Correct Answer:3 + 4 + 2 ,7 + 2 = 9
      Correct Answer:6 + 2 + 1 ,6 + 3 = 9
      Correct Answer:2 + 3 + 5 ,5 + 5 = 10

      Q5.
      Which equations represent the part-part-whole model?

      An image in a quiz
      Correct answer: 1 + 3 + 5 = 9
      Correct answer: 9 = 3 + 1 + 5
      9 + 3 + 1 = 5
      Correct answer: 5 + 3 + 1 = 9

      Q6.
      Which expressions are equal?

      Correct Answer:2 + 3 + 4 ,4 + 3 + 2
      Correct Answer:1 + 4 + 3,4 + 1 + 3
      Correct Answer:3 + 4 + 3,3 + 3 + 4

      To help you plan your 2 maths lesson on: Explain that the addends can be added in any order, download all teaching resources for free and adapt to suit your pupils' needs...