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      Solve comparison and change problems using multiplication

      Lesson details

      Learning outcome

      I can solve comparison and change problems using multiplication.

      Key learning points

      1. A change in length can be described using multiplication.
      2. The stem sentence, 'The ___ is ___ times the length of the ___' can be used to compare lengths.
      3. Comparison and change problems can be represented visually to support solving them.

      Keywords

      • Comparison - When a comparison is made, we are determining how different two objects are. In this case, how many times longer, taller or deeper an object is than another.

      • Change - A comparison can also be made between an object at the start of, and then after, a change. Examples of change include a change in height of a flower due to growth.

      Common misconception

      Children may say, 'Tens times taller', which is imprecise.

      We say, 'Ten times the original height' because this is more precise and can be used when the scale factor is fractional.

      Teacher tip

      Offer children practical examples where possible. It is important that children are fluent with their times table facts to avoid overload.

      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.
      15 multiplied by 5 is equal to

      Correct Answer: 75, seventyfive, seventy five, seventy-five

      Q2.
      40 × 3 =

      Correct Answer: 120, One hundred and twenty

      Q3.
      Which sentences describe this image?

      An image in a quiz
      Correct answer: The blue ribbon is double the length of the white ribbon.
      The white ribbon is the same length as the blue ribbon.
      The white ribbon is two times the length of the blue ribbon.
      Correct answer: The blue ribbon is two times the length of the white ribbon.

      Q4.
      The white ribbon is 18 cm long. How long is the blue ribbon? The blue ribbon is cm long

      An image in a quiz
      Correct Answer: 36 cm, 36cm, 36, thirty six centimetres

      Q5.
      The red ribbon is 11 cm long. Which calculation would you need to do to calculate the length of the white ribbon?

      An image in a quiz
      11 × 4 =
      Correct answer: 11 × 3 =
      11 + 3 =

      Q6.
      True or false: If the white ribbon is is less than 50 cm long, the blue ribbon will be less than 1 m long.

      An image in a quiz
      Correct answer: True
      False

      6 Questions

      Q1.
      A 25 cm piece of elastic is stretched to twice its length. Which image represents the problem?

      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      Q2.
      How long is the elastic now that it has been stretched to twice its original length of 25 cm? The elastic is now cm long.

      Correct Answer: 50, fifty, Fifty

      Q3.
      A dog is three times the height of a cat. Which bar model represents this?

      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      Q4.
      The cat is 30 cm tall. The dog is three times as tall. The dog is cm tall.

      Correct Answer: 90, 90 cm, ninety, Ninety

      Q5.
      Which expression represents the 30 cm tall cat and the dog three times the height?

      An image in a quiz
      Correct answer: 30 cm × 3
      3 cm × 30
      30 cm + 3

      Q6.
      Which statement describes this equation: 7 × 8 = 56

      Correct answer: 56 is seven times the value of eight.
      8 is seven times the value of 56
      7 is eight times the value of 56
      Correct answer: 56 is eight times the size of seven.

      To help you plan your 5 maths lesson on: Solve comparison and change problems using multiplication, download all teaching resources for free and adapt to suit your pupils' needs...