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      Use a part-part-whole model to represent a whole partitioned into two parts

      Lesson details

      Learning outcome

      I can use a part-part-whole model to represent a whole partitioned into two parts.

      Key learning points

      1. A whole group can be split in different ways and the 2 parts may look different.
      2. Add a numeral to the whole position when the objects have been moved out.
      3. Use part-part-whole diagrams in different orientations.
      4. Include examples where the two parts contain the same number of items.
      5. Represent the whole and the parts using numerals alongside the concrete and pictorial representations.

      Keywords

      • Whole - All of something. Complete.

      • Part - A piece of a whole.

      • Partition - To break up a whole into parts.

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

      Common misconception

      When using the part-part-whole model, children may think that the whole is also one of the parts.

      When using the part-part-whole model, move the objects out of the whole into the parts, and replace the whole with a number.

      Teacher tip

      When using the part-part-whole model we need to clearly show that the whole is partitioned into the parts and is not included as one of the parts. For each example, repeatedly move the objects back and forth to represent splitting /combining of the parts

      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 8 the whole or a part?

      An image in a quiz
      Correct answer: whole
      part

      Q2.
      Is 5 the whole or a part?

      An image in a quiz
      whole
      Correct answer: part

      Q3.
      What is the whole?

      An image in a quiz
      2
      3
      4
      Correct answer: 5

      Q4.
      What is the missing part?

      An image in a quiz
      Correct answer: 2
      3
      4
      5

      Q5.
      Which part-whole model is showing Alex’s cars 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

      Q6.
      Which part-whole model is showing Laura’s cars correctly partitioned?

      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

      6 Questions

      Q1.
      How many cubes are in the whole?

      An image in a quiz
      3
      Correct answer: 6
      7
      9

      Q2.
      How many cubes are in each part?

      An image in a quiz
      Correct answer: 3
      4
      5
      6

      Q3.
      Laura thinks the whole will be 6. Is she correct?

      An image in a quiz
      Yes
      Correct answer: No

      Q4.
      Alex thinks the whole will be 6. Is he correct?

      An image in a quiz
      Correct answer: Yes
      No

      Q5.
      Alex thinks that the part can be bigger than the whole. Is he right?

      Yes
      Correct answer: No

      Q6.
      Laura thinks there is more than one way to partition 4 cubes. Is she right?

      An image in a quiz
      Correct answer: Yes
      No

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