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      Explain the relationship between division expressions and division stories

      Lesson details

      Learning outcome

      I can use a division story to write a division expression.

      Key learning points

      1. Dividing into equal groups can be recorded as a division expression.
      2. 8 divided into groups of 2 can be recorded as 8 ÷ 2
      3. The whole can be divided by the number of objects in each group.

      Keywords

      • Division - Division means splitting into equal parts or groups.

      • Expression - An expression is a group of numbers and symbols without an equals sign.

      Common misconception

      Pupils may confuse the size of each group with the number of groups when reading and understanding an expression.

      Focus on the whole and dividing this into groups of a certain size, modelling this with visual representations, without discussing the number of groups at this point.

      Teacher tip

      Encourage pupils to use manipulatives (e.g. counters or Base 10 blocks) to act out the division stories. They do not need to find the number of groups but should begin to understand division as splitting into equal groups or parts. Some stories are written in reverse to secure understanding.

      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.
      Look at the counters. How many counters are there in each group? counters

      An image in a quiz
      Correct Answer: 3

      Q2.
      Look at the counters. How many equal groups are there? groups

      An image in a quiz
      Correct Answer: 2

      Q3.
      Look at the equation. Match each number with what it tells us.

      An image in a quiz
      Correct Answer:12,whole

      whole

      Correct Answer:2,number of groups

      number of groups

      Correct Answer:6,size of each group

      size of each group

      Q4.
      4 is equal to ___

      4 × 4
      Correct answer: 1 × 4
      1 × 8
      Correct answer: 2 x 2

      Q5.
      6 is equal to 2 groups of

      Correct Answer: 3

      Q6.
      14 is equal to 2 groups of

      Correct Answer: 7

      6 Questions

      Q1.
      What number is the whole? 10 is divided into groups of 2

      Correct Answer: 10

      Q2.
      There are 8 cookies. 2 cookies are put into each bag. Which statement matches this story?

      Correct answer: 8 is divided into groups of 2
      2 is divided into groups of 8
      18 is divided into groups of 2

      Q3.
      Which symbol is used for division?

      +
      −
      Correct answer: ÷
      ×

      Q4.
      There are 20 cakes. 10 cakes are put into each box. Which division expression matches this story?

      Correct answer: 20 ÷ 10
      10 ÷ 20
      20 − 10

      Q5.
      The cakes have been divided into equal groups. What number is missing from the division expression? 20 ÷

      An image in a quiz
      Correct Answer: 5

      Q6.
      The cakes have been divided into groups. What number is missing from the division expression? ÷ 5

      An image in a quiz
      Correct Answer: 15

      To help you plan your 2 maths lesson on: Explain the relationship between division expressions and division stories, download all teaching resources for free and adapt to suit your pupils' needs...