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      Identify equal parts when they do not look the same

      Lesson details

      Learning outcome

      I can identify equal parts when they do not look the same.

      Key learning points

      1. Equal parts do not have to look the same.
      2. Equal parts of a whole can be different shapes.
      3. A whole can be made from equal parts that are different shapes.

      Keywords

      • Whole - The whole is all the parts or everything, the total amount.

      • Part - A part is some of the whole.

      • Equal - We say that two or more things are equal if they have the same quantity or value.

      • Unequal - We say that two or more things are unequal if they do not have the same quantity or value.

      Common misconception

      Some children may not be fully aware that two shapes can have the same name but be differently shapes. For example, there are several different types of triangle.

      Maintain a real focus on 'What's the same and what's different?'. Don't shy away from any questions or misconceptions about categories of shape, use them to further any learning.

      Teacher tip

      Doing as well as seeing is essential here. Get the children cutting and proving wherever possible. It's also worth considering the use of a visualiser to demonstrate the cutting and proving to begin with. Also, you could keep some of the puzzles for intervention tasks or the wet-break cupboard.

      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 missing whole in this bar model?

      An image in a quiz
      Correct Answer: 300

      Q2.
      Which circle has been split into equal parts?

      Circle 1
      Correct answer: Circle 2

      Q3.
      Which strip of paper is being described? It has been folded into 4 equal groups.

      Strip 1
      Correct answer: Strip 2
      Strip 3

      Q4.
      Look at the image. Which sentence is correct?

      An image in a quiz
      There ae 3 equal groups.
      Correct answer: There are 3 unequal groups.

      Q5.
      Look at the sequence of months. Which season is missing?

      An image in a quiz
      Spring
      Summer
      Autumn
      Correct answer: Winter

      Q6.
      Which flag is made up of only equal parts?

      Correct answer: Flag of Peru
      Flag of Costa Rica
      Flag of Jamaica
      Correct answer: Flag of France

      6 Questions

      Q1.
      Which of the statements describe the whole and the part of this 2D shape?

      An image in a quiz
      The whole has been split into unequal parts
      Correct answer: The whole has been split into equal parts that are the same shape
      The whole has been split into equal parts that are shaped differently

      Q2.
      Which of the statements describe the whole and the parts of this 2D shape?

      An image in a quiz
      The whole has been split into unequal parts
      The whole has been split into equal parts that are the same shape
      Correct answer: The whole has been split into equal parts that are shaped differently

      Q3.
      Which of the statements are true?

      A whole is made up of two parts
      Correct answer: Parts can be equal or unequal
      Correct answer: Equal parts can look different but still be equal
      A whole can be smaller than a part

      Q4.
      Which of the statements describe the whole and the parts of this 2D shape?

      An image in a quiz
      Correct answer: The whole has been split into unequal parts
      The whole has been split into equal parts that are shaped the same
      The whole has been split into equal parts that are shaped differently

      Q5.
      Equal parts can look different. Which justification best explains this?

      Correct answer: As long as the parts take up the same amount of space then they are equal
      They need to be different shapes entirely like a triangle and a square

      Q6.
      Which of these shapes has four equal parts that are shaped differently?

      Correct answer: Shape 1
      Shape 2
      Shape 3

      To help you plan your 3 maths lesson on: Identify equal parts when they do not look the same, download all teaching resources for free and adapt to suit your pupils' needs...