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      Partition the numbers 6 and 7 in different ways

      Lesson details

      Learning outcome

      I can partition the numbers 6 and 7 in different ways.

      Key learning points

      1. There is more than one way to partition a number.
      2. When a number is partitioned into two parts the parts can be odd or even.

      Keywords

      • Partition - To split a whole up into parts.

      • Whole - All of something. Complete.

      • Part - A piece or section of a whole.

      Common misconception

      When using patterns to identify combinations, pupils may struggle to be systematic and not identify all options systematically.

      Spend time exploring the value of recording combinations within a simple table. Encourage checking, e.g. the amount of counters totals six. Look for patterns and support children in spotting these.

      Teacher tip

      Children may try finding all possible combinations through trial and improvement. Encourage more systematic thinking, leading children to find all possible combinations quicker and check that none have been missed. Continue to check with concrete objects.

      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.
      3 is an ___ number.

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      even
      Correct answer: odd

      Q2.
      4 is an ___ number.

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      Correct answer: even
      odd

      Q3.
      Look at the part-part-whole model. What is the whole?

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      Correct Answer: 6, six

      Q4.
      Look at the part-part-whole model. What is the missing part?

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      Correct Answer: 2, two

      Q5.
      Alex thinks that 6 can be partitioned into 5 and 2 Is he right?

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      Yes
      Correct answer: No

      Q6.
      Aisha is going to clap 7 times. She has already clapped 5 times. How many more claps does she need to do?

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      Correct Answer: 2

      6 Questions

      Q1.
      What number is missing from the part-part-whole model? The whole is 7 One part is 4 and one part is

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      Correct Answer: 3, three

      Q2.
      Alex thinks that 6 can only be partitioned into one odd and one even part. Is he right?

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      Yes
      Correct answer: No

      Q3.
      Which part-part-whole model represents the cubes?

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      Correct Answer: An image in a quiz
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      Q4.
      Which bar model represents the counters?

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      Correct Answer: An image in a quiz
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      Q5.
      Alex thinks the whole is 7 in this number line. Is he right?

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      Correct answer: Yes
      No

      Q6.
      Which set of counters will come next if we are ordering the partitions of 7 systematically?

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      Correct Answer: An image in a quiz
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      To help you plan your 1 maths lesson on: Partition the numbers 6 and 7 in different ways, download all teaching resources for free and adapt to suit your pupils' needs...