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      Use known facts to solve problems involving partitioning numbers

      Lesson details

      Learning outcome

      I can use known facts to help me solve partitioning problems.

      Key learning points

      1. Multiples of ten that total one hundred can help with adding and subtracting 3-digit numbers.
      2. Doubles and near doubles can be helpful when adding multiples of ten together.
      3. Partitioning 100 into 10 tens and combining tens to make 100 can help with calculating.

      Keywords

      • Double - Double means to become twice as many.

      • Multiple - A multiple is the result of multiplying a number by another whole number.

      Common misconception

      Pupils may struggle when adding near double multiples of ten and when crossing 100s boundaries.

      Encourage pupils to use their known facts to support thinking and combine this with the use of base ten blocks, especially for crossing 100

      Teacher tip

      Pupils will find base ten blocks useful for this session. Encourage them to manipulate the blocks, partitioning 100 into 10 tens and redistributing by combining 10s to make 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.
      Match the numbers so that they are a pair that totals 10.

      Correct Answer:9,1

      1

      Correct Answer:6,4

      4

      Correct Answer:8,2

      2

      Correct Answer:7,3

      3

      Q2.
      What is double 6?

      Correct Answer: 12, twelve

      Q3.
      What is ten more than 40?

      Correct Answer: 50, fifty

      Q4.
      120 + ___ = 150

      10
      20
      Correct answer: 30
      40

      Q5.
      What is value of the part missing from the bar model?

      An image in a quiz
      20
      30
      40
      Correct answer: 50

      Q6.
      What is value of the part missing from the bar model?

      An image in a quiz
      Correct Answer: 120, one hundred and twenty

      6 Questions

      Q1.
      Match the multiples of ten to their doubles.

      Correct Answer:Double 30,60

      60

      Correct Answer:Double 40,80

      80

      Correct Answer:Double 50,100

      100

      Correct Answer:Double 60,120

      120

      Q2.
      What is double 80?

      116
      140
      Correct answer: 160
      180

      Q3.
      Complete the calculation: 60 + = 100

      Correct Answer: 40, forty

      Q4.
      What number is missing from the bar model?

      An image in a quiz
      Correct Answer: 50, fifty

      Q5.
      What number is missing from the bar model?

      An image in a quiz
      80
      90
      110
      Correct answer: 120

      Q6.
      Which pair of numbers could not be used to complete the bar model?

      An image in a quiz
      100 and 30
      80 and 50
      70 and 60
      Correct answer: 90 and 20

      To help you plan your 3 maths lesson on: Use known facts to solve problems involving partitioning numbers, download all teaching resources for free and adapt to suit your pupils' needs...