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      Explain and represent how to divide 1 into different numbers of equal parts

      Lesson details

      Learning outcome

      I can divide 1 into different numbers of equal parts.

      Key learning points

      1. A point on a number line or scale between 0 and 1 can be represented by equivalent fractions or decimals.
      2. Tenths and hundredths can be represented as fractions and decimals.
      3. Fractions and decimals at the same point on a line or scale are equivalent.

      Keywords

      • Equal parts - When we divide, we split an object, number or quantity into equal parts.

      • Divide - Each equal part has the same value as the others in the whole.

      • Equivalent - Numbers are equivalent if they have exactly the same value.

      Common misconception

      Thinking that the fraction and decimal use the same digits so that one fifth is 1.5 as a decimal. Some may not see that equivalent fractions and decimals represent the same value.

      Use representations that allow pupils to see fractions as parts of 10 and 100 to secure the understanding of their equivalent decimal values. Revisit equivalent fractions to model how to convert fractions to their decimal equivalents and vice versa.

      Teacher tip

      Emphasise the equivalence when converting fractions to decimals and decimals to fractions. Use the language of scaling to support this understanding and give pupils the opportunity to use representations to explore the fractions with denominators of 10 and 100 and the link to decimals.

      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 100 is divided into 4 equal parts, each part is worth

      An image in a quiz
      Correct Answer: 25, twenty-five

      Q2.
      When 100 is divided into 10 equal parts, each part is worth

      An image in a quiz
      Correct Answer: 10, ten

      Q3.
      When 100 is divided into 5 equal parts, each part is worth

      An image in a quiz
      5
      15
      Correct answer: 20
      25

      Q4.
      What fraction of the 100 square is shaded here?

      An image in a quiz
      $${1} \over {2}$$
      Correct answer: $${1} \over {4}$$
      $${1} \over {5}$$
      $${1} \over {10}$$

      Q5.
      What fraction of the 100 square is shaded here?

      An image in a quiz
      $${1} \over {2}$$
      $${1} \over {4}$$
      $${1} \over {5}$$
      Correct answer: $${1} \over {10}$$

      Q6.
      What fraction of the 100 square is shaded here?

      An image in a quiz
      $${1} \over {2}$$
      $${1} \over {4}$$
      Correct answer: $${1} \over {5}$$
      $${1} \over {10}$$

      6 Questions

      Q1.
      Match the fraction with the equivalent decimal.

      Correct Answer:$${1} \over {2}$$,0.5

      0.5

      Correct Answer:$${1} \over {4}$$ ,0.25

      0.25

      Correct Answer:$${1} \over {5}$$,0.2

      0.2

      Correct Answer:$${1} \over {10}$$,0.1

      0.1

      Q2.
      Order the fractions and decimals from the smallest to the largest.

      1 - 0.02
      2 - $${3} \over {100}$$
      3 - $${1} \over {5}$$
      4 - 0.3
      5 - $${1} \over {3}$$

      Q3.
      Which two fractions could label point a on the number line?

      An image in a quiz
      $${1} \over {5}$$
      Correct answer: $${2} \over {5}$$
      $${2} \over {10}$$
      Correct answer: $${4} \over {10}$$

      Q4.
      How much liquid is in the jug?

      An image in a quiz
      Correct answer: $${1}\over{2}$$
      $${1}\over{10}$$
      0.1
      Correct answer: 0.5

      Q5.
      What fraction of £1.00 are the 10 p coins worth and what is their value as a decimal?

      An image in a quiz

      Q6.
      What decimal fraction of the 100 square is shaded?

      An image in a quiz
      Correct Answer: 0.4

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