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 how doubling and halving are related

      Lesson details

      Learning outcome

      I can explain how doubling and halving are related.

      Key learning points

      1. If double 4 is 8, then half of 8 is 4
      2. Halving means to partition the number into two equal groups.
      3. Halving is the inverse of doubling.
      4. Whether doubling or halving, we can also see these as our 2 times tables facts.

      Keywords

      • Double / Doubling - To become twice as many / to multiply by two.

      • Half / Halving - One of two equal parts of a whole. To divide into two equal parts.

      Common misconception

      Children may inaccurately recall related doubling facts to solve halving problems.

      Represent each problem as a bar model (as the whole and two equal parts) before solving. Encourage children to check that the two equal parts are equal to the whole.

      Teacher tip

      Use the stem sentence, 'If I know ..., then I know ...' to help children see how doubling facts can help solve halving problems. Ensure children are encouraged to use this stem sentence when talking through their approach to a problem.

      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.
      Which double is being shown here?

      An image in a quiz
      Correct answer: Double 6
      Double 4
      Double 5

      Q2.
      Double 3 tens is ___

      An image in a quiz
      6
      16
      Correct answer: 60

      Q3.
      Double 12 is

      Correct Answer: 24

      Q4.
      Double 40 is

      Correct Answer: 80

      Q5.
      Which of these equations could I use doubling knowledge to solve?

      Correct answer: 2 × 6 = ?
      Correct answer: 4 × 2 = ?
      4 + 2 = ?

      Q6.
      What is 14 × 2 = ?

      Correct Answer: 28

      6 Questions

      Q1.
      Use the bar model to complete the sentence. Half of 8 is equal to

      An image in a quiz
      Correct Answer: 4, four

      Q2.
      If I know that half of 6 is equal to 3, then I know that _____________

      double 4 is equal to 8
      Correct answer: double 3 is equal to 6
      double 2 is equal to 4

      Q3.
      Which facts are represented by this bar model?

      An image in a quiz
      Double 4 is equal to 8
      Correct answer: Double 2 is equal to 4
      Half of 6 is equal to 3
      Correct answer: Half of 4 is equal to 2

      Q4.
      Which equation is represented by this bar model?

      An image in a quiz
      2 × 3 = 6
      Correct answer: 2 × 5 = 10
      2 × 4 = 8

      Q5.
      Alex had 4 marbles. He gave half to Jacob. How many marbles did Jacob get? marbles

      Correct Answer: 2, two

      Q6.
      Aisha gave half of her biscuits to Alex. Aisha was left with 6 biscuits. How many biscuits did Aisha have to begin with? biscuits

      Correct Answer: 12, twelve

      To help you plan your 2 maths lesson on: Explain how doubling and halving are related, download all teaching resources for free and adapt to suit your pupils' needs...