Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

      Solve problems by identifying parts and wholes in a range of contexts

      Lesson details

      Learning outcome

      I can solve problems by identifying parts and wholes in a range of contexts.

      Key learning points

      1. The whole has been divided into __ equal parts.
      2. Each equal part is one-__ of the whole.
      3. You can represent fractions with an image, symbol and name.
      4. Equal parts may not look the same.

      Keywords

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

      • Part - A part is some of the whole.

      • Equal - Have the same quantity or value.

      • Unequal - Do not have the same quantity or value.

      Common misconception

      Pupils struggle to visualise when considering 3D parts and wholes and cannot identify a given fractional part of a 3D whole, particularly when presented on a screen as a picture.

      Provide opportunities for pupils to experience fractional parts of 3D shapes in real life situations e.g. base 10 blocks or using cuboids such as small cereal variety boxes or photocopying paper boxes. Physical manipulation can support visualisation.

      Teacher tip

      It's crucial that children experience this lesson physically as well as in their heads so provide plenty of practical resources to support the learning. Create your own Venn diagrams using practical resources and giant PE hoops. This will make the learning more memorable and include all learners.

      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

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      Tick the numbers that are multiples of 2

      Correct answer: 2
      Correct answer: 4
      7
      21
      Correct answer: 22

      Q2.
      Tick the numbers that are multiples of 3

      Correct answer: 3
      5
      Correct answer: 6
      Correct answer: 9
      13

      Q3.
      Complete the sentence: The whole has been divided into 8 equal parts and 1 is shaded. This is one-

      An image in a quiz
      Correct Answer: eighth

      Q4.
      The whole has been divided into 3 equal parts. One part is shaded. What is the name of the fraction being represented?

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

      Q5.
      Tick the correct fraction notation that shows one-twelfth.

      Correct answer: $$ \frac{1}{12} $$
      $$ \frac{1}{11} $$
      $$ \frac{12}{12} $$
      $$ \frac{12}{1} $$

      Q6.
      Match the fraction name to the fraction notation.

      Correct Answer:$$ \frac{1}{12} $$ ,one-twelfth

      one-twelfth

      Correct Answer:$$ \frac{1}{5} $$ ,one-fifth

      one-fifth

      Correct Answer:$$ \frac{1}{9} $$ ,one-ninth

      one-ninth

      Correct Answer:$$ \frac{1}{11} $$ ,one-eleventh

      one-eleventh

      6 Questions

      Q1.
      Which of these representations goes into the right oval of the Venn diagram?

      An image in a quiz
      Shape A
      Correct answer: Shape B

      Q2.
      Which of these representations goes into the left oval of the Venn diagram?

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

      Q3.
      Which of these representations goes into the middle of the Venn diagram?

      An image in a quiz
      Correct answer: Shape A
      Shape B

      Q4.
      What fraction of the whole is the shaded part in this image?

      An image in a quiz
      $$ \frac{1}{2} $$
      $$ \frac{1}{4} $$
      $$ \frac{1}{10} $$
      Correct answer: $$ \frac{1}{8} $$

      Q5.
      What fraction of the whole is the shaded part in this image?

      An image in a quiz
      $$ \frac{1}{3} $$
      Correct answer: $$ \frac{1}{4} $$
      $$ \frac{1}{5} $$
      $$ \frac{1}{6} $$

      Q6.
      What fraction of the whole is the shaded part in this image?

      An image in a quiz
      $$ \frac{1}{3} $$
      $$ \frac{1}{4} $$
      Correct answer: $$ \frac{1}{2} $$
      $$ \frac{1}{5} $$

      To help you plan your 3 maths lesson on: Solve problems by identifying parts and wholes in a range of contexts, download all teaching resources for free and adapt to suit your pupils' needs...