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      Place fractions between 0 and 1 on a number line

      Lesson details

      Learning outcome

      I can place fractions between 0 and 1 on a number line.

      Key learning points

      1. A fraction is a number and has an exact position on a number line.
      2. Fractions can be ordered and positioned on a number line.
      3. Unit and non-unit proper fractions lie between 0 and 1 on a number line.
      4. In a proper fraction, the numerator is less than the denominator.

      Keywords

      • Proper fraction - In a proper fraction, the numerator is less than the denominator.

      Common misconception

      Pupils may make mistakes when using number lines to represent fractions, especially with bar representations that do not begin at zero.

      Link teaching to measurement. When measuring the length of a object, the measurement needs to begin at zero.

      Teacher tip

      Pupils should be able to use fractions as an operator, for example, talking about one-third of a shape or three-fifths of a line. In this lesson, they will learn that fractions are also numbers as well as operators, for example, the number one-quarter sits between zero and one in the number system.

      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.
      Five-fifths is equal to…

      one-half
      one-quarter
      Correct answer: one whole

      Q2.
      Which symbol would make this correct?

      An image in a quiz
      Correct answer: >
      <
      =

      Q3.
      What is the missing numerator?

      An image in a quiz
      Correct Answer: 9, nine

      Q4.
      What is the missing denominator?

      An image in a quiz
      Correct Answer: 3, three

      Q5.
      Which denominators could make this correct?

      An image in a quiz
      Correct answer: 8
      Correct answer: 7
      6
      5

      Q6.
      Jacob uses an even number to make this correct. What number could he have used?

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

      6 Questions

      Q1.
      What proper fraction is represented on the number line?

      An image in a quiz
      $$ \frac{7}{4} $$
      $$ \frac{3}{7} $$
      Correct answer: $$ \frac{4}{7} $$
      $$ \frac{7}{7} $$

      Q2.
      What is the numerator of the fraction shown?

      An image in a quiz
      Correct Answer: 9, nine

      Q3.
      What fraction is represented on the number line?

      An image in a quiz
      $$ \frac{3}{7} $$
      $$ \frac{2}{7} $$
      Correct answer: $$ \frac{2}{5} $$
      $$ \frac{2}{4} $$

      Q4.
      What fraction is represented on the number line?

      An image in a quiz
      $$ \frac{4}{7} $$
      Correct answer: $$ \frac{4}{6} $$
      $$ \frac{3}{6} $$
      $$ \frac{1}{4} $$

      Q5.
      The arrow shows a number of one-eighths. What is the numerator of the fraction represented by the arrow?

      An image in a quiz
      Correct Answer: 6, six

      Q6.
      The arrow shows a number of one-elevenths. What is the numerator of the fraction represented by the arrow?

      An image in a quiz
      Correct Answer: 6, six

      To help you plan your 3 maths lesson on: Place fractions between 0 and 1 on a number line, download all teaching resources for free and adapt to suit your pupils' needs...