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      Relate finding half of a number to halving and doubling

      Lesson details

      Learning outcome

      I can explain how finding half of a number relates to halving and doubling.

      Key learning points

      1. To find half of a number you split it into 2 equal parts
      2. Use knowledge of doubles and halves to find half of a number
      3. If you double the half you will end up with the whole number

      Keywords

      • Double - To become twice as many.

      • Half - To divide into 2 equal parts.

      Common misconception

      Children may find it difficult to find the whole when they are told the size of the half and may try to find half of the half.

      Use a bar model representation to help children see the structure of double and half. Use gesture, colour and/or circling when discussing what each part of the bar model represents.

      Teacher tip

      Give children opportunities to say the stem sentences for a range of different known doubles facts to help them see the relationship between doubling and halving and finding one-half of a number.

      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.
      Match the equation to the correct statement.

      Correct Answer:2 + 2 = 4 ,Double 2 is 4

      Double 2 is 4

      Correct Answer:8 = 4 + 4 ,Double 4 is 8

      Double 4 is 8

      Correct Answer:3 + 3 = 6,Double 3 is 6

      Double 3 is 6

      Correct Answer:10 = 5 + 5,Double 5 is 10

      Double 5 is 10

      Q2.
      When the whole has been divided into 2 equal parts, each part is ___

      Correct answer: $$ \frac{1}{2} $$
      $$ \frac{1}{4} $$
      $$ \frac{1}{3} $$

      Q3.
      How can each fraction be described?

      Correct Answer:$$ \frac{1}{2} $$,is one of two equal parts.

      is one of two equal parts.

      Correct Answer:$$ \frac{1}{3} $$,is one of three equal parts.

      is one of three equal parts.

      Correct Answer:$$ \frac{1}{4} $$,is one of four equal parts.

      is one of four equal parts.

      Q4.
      Match the fraction circled in each picture to the correct representation.

      An image in a quiz
      Correct Answer:A,$$ \frac{1}{4} $$

      $$ \frac{1}{4} $$

      Correct Answer:B,$$ \frac{1}{2} $$

      $$ \frac{1}{2} $$

      Correct Answer:C,$$ \frac{1}{3} $$

      $$ \frac{1}{3} $$

      Q5.
      Which picture shows $$ \frac{1}{2} $$ of the whole amount is circled?

      An image in a quiz
      a
      Correct answer: b
      c

      Q6.
      Match the equation to the correct answer.

      Correct Answer:$$ \frac{1}{2} $$ of 6 =,3

      3

      Correct Answer:$$ \frac{1}{2} $$ of 12 =,6

      6

      Correct Answer:$$ \frac{1}{2} $$ of 16 =,8

      8

      Correct Answer:$$ \frac{1}{2} $$ of 14 =,7

      7

      Correct Answer:$$ \frac{1}{2} $$ of 8 =,4

      4

      6 Questions

      Q1.
      Match the double fact to its answer.

      Correct Answer:Double 10 is,20

      20

      Correct Answer:Double 6 is,12

      12

      Correct Answer:Double 7 is,14

      14

      Correct Answer:Double 8 is,16

      16

      Correct Answer:Double 9 is,18

      18

      Q2.
      Each missing part on this bar model represents one-half of the whole number of pencils. What numbers are missing?

      An image in a quiz
      6 and 4
      Correct answer: 5 and 5
      3 and 7
      8 and 2

      Q3.
      Which equations are true for this bar model?

      An image in a quiz
      Correct answer: $$ \frac{1}{2} $$ of 20 = 10
      20 = $$ \frac{1}{2} $$ of 10
      Correct answer: 10 = $$ \frac{1}{2} $$ of 20
      $$ \frac{1}{2} $$ of 10 = 20

      Q4.
      What facts does this bar model show?

      An image in a quiz
      Correct answer: Double 7 is 14
      One-half of 7 is 14
      Double 14 is 7
      Correct answer: One-half of 14 is 7

      Q5.
      Match the statements that link doubling and halving facts.

      Correct Answer:Double 3 is 6,Half of 6 is 3

      Half of 6 is 3

      Correct Answer:Double 6 is 12,Half of 12 is 6

      Half of 12 is 6

      Correct Answer:Double 5 is 10,Half of 10 is 5

      Half of 10 is 5

      Correct Answer:Double 10 is 20,Half of 20 is 10

      Half of 20 is 10

      Q6.
      Lucas has 16 new coloured pens. He gave half of them to Aisha to use. How many pens do they now each have?

      Correct Answer: 8

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