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      Solve problems finding a missing part when one part and the whole is known

      Lesson details

      Learning outcome

      I can solve problems finding the missing part when the other part and the whole is known.

      Key learning points

      1. Each of the numbers one to five can be partitioned into two parts.
      2. Use the sentence, the whole is ___ and one part is ___ so the other part must be ___
      3. Notice the smaller the number being partitioned, the fewer the number of combinations.

      Keywords

      • Partition - Partition means to split up a whole into parts.

      • Part-part-whole model - A part-part-whole model is a pictorial representation that shows the whole and its parts.

      • Missing part - A missing part is one of the parts that cannot be seen.

      Common misconception

      Children may confuse the part and the whole, or add the whole and one part to find the missing part.

      Encourage the use of the stem sentence ___ is the whole, ___ is a part and ___ is a part, to reinforce what the numbers represent.

      Teacher tip

      Part-part-whole models can continue to be used to record and justify answers to problems. Use part-part-whole models in different orientations and with different numbers of parts for children to use to see objects partitioned in different ways.

      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.
      Is 3 the whole or a part?

      An image in a quiz
      the whole
      Correct answer: a part

      Q2.
      How many cubes are in the missing part?

      An image in a quiz
      Correct answer: 2
      3
      5

      Q3.
      What is the missing part?

      An image in a quiz
      1
      Correct answer: 4
      5

      Q4.
      What is the missing part?

      An image in a quiz
      Correct answer: 1
      4
      5

      Q5.
      Match the picture to the correct part-part-whole model.

      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      Q6.
      Which part-part-whole model is showing Aisha’s counters correctly partitioned?

      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      6 Questions

      Q1.
      What is missing – one of the parts or the whole?

      An image in a quiz
      the whole
      Correct answer: a part

      Q2.
      Aisha thinks the missing part will be 3. Is this correct?

      An image in a quiz
      Yes
      Correct answer: No

      Q3.
      Lucas thinks the missing part will be 5. Is this correct?

      An image in a quiz
      Yes
      Correct answer: No

      Q4.
      Lucas thinks the missing part will be the same for all of these. Is he correct?

      An image in a quiz
      Yes
      Correct answer: No

      Q5.
      Aisha has clapped 3 times. How many more claps does she need to do to make the whole correct?

      An image in a quiz
      1
      Correct answer: 2
      3
      5

      Q6.
      Lucas will nod his head 5 times and has already nodded it twice. Which part-part-whole model is showing this correctly?

      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz
      An image in a quiz

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