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

      Explain that non-unit fractions are made of more than one unit fraction

      Lesson details

      Learning outcome

      I can explain that non-unit fractions are made of more than one unit fraction.

      Key learning points

      1. A non-unit fraction has a numerator greater than 1; it is composed of more than one unit fraction.
      2. We say, 'the whole has been divided into ___ equal parts, and I have ___ of them'.
      3. Dual language of 'five-sixths' and 'five one-sixths' can be used to describe non-unit fractions.
      4. When describing a fraction of the whole, the whole could be a shape, a line or a group of objects.

      Keywords

      • Non-unit fraction - A non-unit fraction has a numerator greater than 1

      Common misconception

      Pupils may not recognise the total number of equal parts that make up the whole and may instead just count the number they have / are shaded for example.

      Encourage pupils to count the total number of equal parts that make up the whole and then the number that are shaded. Stress that the denominator shows the number of equal parts that make up the whole and that the numerator shows the number we have.

      Teacher tip

      Pupils make the link between unit and non-unit fractions, understanding, for example, that seven one-tenths are equal to seven tenths. Pupils should explore this with area, linear and quantity models. One-tenth is a division commonly used in measurements and is worth exploring in context further.

      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.
      How many parts has the shape been divided into?

      An image in a quiz
      2
      4
      Correct answer: 6
      8

      Q2.
      Sofia shades half of this shape. How many parts would she need to shade?

      An image in a quiz
      2
      Correct answer: 4
      6
      8

      Q3.
      What fraction is represented?

      An image in a quiz
      one-quarter
      Correct answer: one-third
      one-fifth

      Q4.
      Which image shows one-quarter?

      a)
      Correct answer: b)
      Correct answer: c)
      d)

      Q5.
      What fraction of the frogs are on the log?

      An image in a quiz
      one-third
      one-quarter
      Correct answer: one-fifth
      one-sixth

      Q6.
      What fraction of the pandas are wearing hats?

      An image in a quiz
      one-third
      one-quarter
      one-fifth
      Correct answer: one-sixth

      6 Questions

      Q1.
      Which description is correct?

      An image in a quiz
      one-quarter is shaded
      two-thirds are shaded
      Correct answer: two-quarters are shaded
      Correct answer: 2 one-quarters are shaded

      Q2.
      Which description is correct?

      An image in a quiz
      one-third is shaded
      Correct answer: two-thirds are shaded
      Correct answer: 2 one-thirds are shaded
      2 one-quarters are shaded

      Q3.
      What fraction is of the shape is shaded?

      An image in a quiz
      two-thirds
      2 one-thirds
      Correct answer: 2 one-fifths
      Correct answer: two-fifths

      Q4.
      What fraction of the shape is shaded?

      An image in a quiz
      four-quarters
      one-sixth
      two-sixths
      Correct answer: four-sixths

      Q5.
      What fraction of the frogs are on the log?

      An image in a quiz
      four-sixths
      Correct answer: two-sixths
      two-fifths
      two-quarters

      Q6.
      What fraction of the pandas are wearing hats?

      An image in a quiz
      three-quarters
      Correct answer: three-eighths
      three-sevenths
      three-fifths

      To help you plan your 3 maths lesson on: Explain that non-unit fractions are made of more than one unit fraction, download all teaching resources for free and adapt to suit your pupils' needs...