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      Find three-quarters of an object, shape, set of objects or quantity

      Lesson details

      Learning outcome

      I can find three-quarters of an object, shape, set of objects or quantity.

      Key learning points

      1. To divide an object, shape, set of objects or quantity into quarters, you need to divide it into 4 equal parts.
      2. If you have 3 of those parts, you have three-quarters.
      3. It can be helpful to use a bar model to help you find three-quarters of a number.

      Keywords

      • One-quarter - 1 of 4 equal parts of a whole.

      • Three-quarters - 3 of 4 equal parts of a whole.

      Common misconception

      Children may find one-quarter rather than three-quarters of an amount.

      Use gesture, colour and/or circling to highlight three-quarters of an amount. Use the stem sentences, 'one-quarter of the whole is ___, two-quarters of the whole is ___, three quarters of the whole is ___'

      Teacher tip

      Ensure children have opportunities to explore this concept practically using concrete resources throughout this lesson. Continually acknowledge that the whole has been split into 4 equal parts and that this time, we want 3 of those equal 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.
      When the whole has been divided into 4 equal parts, each part is __________.

      one-third
      one-half
      Correct answer: one-quarter

      Q2.
      When the whole has been divided into equal parts, each part is one-third.

      Correct Answer: 3

      Q3.
      Which image shows $$ \frac{1}{4} $$ of the whole circled?

      An image in a quiz
      Correct answer: A
      B
      C

      Q4.
      Which model can show $$ \frac{1}{4} $$ of 12?

      Correct answer: A
      B
      C

      Q5.
      What is $$ \frac{1}{4} $$ of 20?

      An image in a quiz
      Correct Answer: 5

      Q6.
      There are 16 eggs that have been divided equally into 4 boxes. How many eggs are in each box? eggs.

      Correct Answer: 4

      6 Questions

      Q1.
      True or false. This shape has three-quarters or $$ \frac{3}{4} $$ shaded.

      An image in a quiz
      Correct answer: True
      False

      Q2.
      Which shape does not show three-quarters shaded?

      A
      Correct answer: B
      C
      D

      Q3.
      Which images show $$ \frac{3}{4} $$ shaded or circled?

      Correct answer: A
      B
      Correct answer: C
      Correct answer: D

      Q4.
      Look at the model. Match the whole and its parts with the number that represents them.

      An image in a quiz
      Correct Answer:Whole,16

      16

      Correct Answer:$$ \frac{1}{4} $$,4

      4

      Correct Answer:$$ \frac{3}{4} $$,12

      12

      Q5.
      Match to form facts that can be shown by this model.

      An image in a quiz
      Correct Answer:$$ \frac{1}{4} $$ is,3

      3

      Correct Answer:$$ \frac{2}{4} $$ is,6

      6

      Correct Answer:$$ \frac{3}{4} $$ is,9

      9

      Correct Answer:$$ \frac{4}{4} $$ is,12

      12

      Q6.
      What is $$ \frac{3}{4} $$ of 20?

      An image in a quiz
      Correct Answer: 15

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