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      Use known facts to find complements to 100 efficiently

      Lesson details

      Learning outcome

      I can use known facts to find complements to 100 efficiently.

      Key learning points

      1. Number facts to 10 can be applied to multiples of 10
      2. Using pairs to 10 and pairs to 100 we can find pairs to 100
      3. If we have a pair to 10 then the tens have to total 90 for the whole to be 100
      4. A number line can represent the complements to 100

      Keywords

      • Complement to 100 - Pairs of numbers which total 100

      • Total - The result of adding.

      Common misconception

      Pupils may be less efficient if they are not fluent with bonds within 10 e.g. 3 + 6 = 9

      Provide additional scaffolding as appropriate including examples of pairs that total 9 and 10

      Teacher tip

      Partitioning numbers practically can be useful initially in this lesson however pupils should be encouraged to visualise and work more abstractly as they become more confident in generalising about complements to 100

      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 the total of 60 and 40?

      110
      Correct answer: 100
      101

      Q2.
      Which of these 2-digit numbers is a multiple of ten?

      17
      35
      Correct answer: 60
      65

      Q3.
      What is 100 subtract 4?

      An image in a quiz
      6
      6 tens
      Correct answer: 96
      104
      94

      Q4.
      100 = 92 +

      Correct Answer: 8, 8, eight, 8 ones

      Q5.
      Jacob has 75 football cards and wants 100 football cards. How many more football cards does he need?

      Correct Answer: 25, twenty five

      Q6.
      100 subtract equals 97

      Correct answer: 3
      30
      9
      13

      6 Questions

      Q1.
      Which one is not a complement to 100?

      32 + 68
      Correct answer: 36 + 74
      35 + 65

      Q2.
      What is the total of 67 + 33?

      Correct Answer: 100, one hundred, 1 hundred, a hundred

      Q3.
      Match the complements to 100

      Correct Answer:25,75
      Correct Answer:33,67
      Correct Answer:44,56
      Correct Answer:96,4

      Q4.
      What do you add to 71 to make 100?

      39
      Correct answer: 29
      19

      Q5.
      Complete the sentence: When the ones digits total 10 and the tens digits total the two 2-digit numbers are complements to 100

      Correct Answer: 90, ninety, 9 tens

      Q6.
      55 + 55 = 100. Why is this calculation incorrect?

      The tens digits total less than 90
      Correct answer: The tens digits total more than 90
      The ones digits total more than 10
      The ones digit total less than 10

      To help you plan your 3 maths lesson on: Use known facts to find complements to 100 efficiently, download all teaching resources for free and adapt to suit your pupils' needs...