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      Solve problems involving length and height

      Lesson details

      Learning outcome

      I can solve problems about lengths and heights.

      Key learning points

      1. Word problems can be represented in a bar model by identifying the parts and the whole.
      2. To find the whole, we need to add the parts together.
      3. To find a part, we need to subtract the part we know from the whole.
      4. If the units are different, they need to be converted to the same unit.

      Keywords

      • Bar model - A pictorial representation of a problem where bars are used to represent the known and unknown quantities.

      • Part - Some but not all of something. It is an amount or section which, when combined with others, makes up the whole.

      • Whole - All of something. It is complete.

      Common misconception

      Converting between units; interpreting a word problem; confusing parts and wholes.

      When representing as a bar model, visualise the problem to help determine what the parts are and what the whole is.

      Teacher tip

      Really focus on getting children to visualise the problem in a real life context. Use concrete resources where possible. Focus on the key words that cause confusion eg. 'how much more', which is finding the difference even though it uses 'more'.

      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.
      A standardised unit of measure that is equivalent in length to 100 cm is called a .

      Correct answer: metre
      millimetre
      gram
      kilogram

      Q2.
      Match the calculation to its answer.

      Correct Answer:100 - 60 =,40

      40

      Correct Answer:100 - 40 =,60

      60

      Correct Answer:110 + 50 = ,160

      160

      Correct Answer:30 + 20 + 50 =,100

      100

      Q3.
      Match the equivalent measures.

      Correct Answer:1 m 1 cm ,101 cm

      101 cm

      Correct Answer:1 m 10 cm,110 cm

      110 cm

      Correct Answer:11 cm,110 mm

      110 mm

      Correct Answer:2 m,200 cm

      200 cm

      Q4.
      Match the calculation to its answer.

      Correct Answer:30 cm - 80 mm =,22 cm

      22 cm

      Correct Answer:1 m - 20 cm =,80 cm

      80 cm

      Correct Answer:2 m - 1 m =,100 cm

      100 cm

      Correct Answer:2 m - 50 cm =,150 cm

      150 cm

      Q5.
      Starting with the shortest, put these lengths in order.

      1 - 9 mm
      2 - 1 cm
      3 - 11 mm
      4 - 1 cm 2 mm
      6 - 2 cm 1 mm

      Q6.
      Look at this bar model. Find the missing part.

      An image in a quiz
      490
      210
      Correct answer: 110

      6 Questions

      Q1.
      Look at this word problem and empty bar model. Match the given lengths to the whole or a part.

      An image in a quiz
      Correct Answer:2 m,The whole.

      The whole.

      Correct Answer:40 cm,A part.

      A part.

      Q2.
      Use the bar model to support you to identify the calculation, and then solve the problem. Choose two correct answers.

      An image in a quiz
      1 m 40 cm
      140 cm
      Correct answer: 2 m 60 cm
      Correct answer: 260 cm

      Q3.
      Use the bar model to support you to identify the calculation, and then solve the problem.

      An image in a quiz
      5 m 10 cm
      90 m
      213 cm
      Correct answer: 90 cm

      Q4.
      Izzy's sunflower is 3 m 90 cm tall. Andeep's is 200 cm tall. How much taller is Izzy's sunflower than Andeep's? Choose all possible options.

      590 cm
      Correct answer: 1 m 90 cm
      Correct answer: 190 cm
      3 m 290 cm

      Q5.
      Use the bar model to support you to identify the calculation, and then solve the problem. Choose all possible options.

      An image in a quiz
      13 m
      Correct answer: 1 m
      298 cm
      Correct answer: 100 cm

      Q6.
      Izzy lays two sticks end to end. The first stick is 20 cm long. The second stick is 40 mm long. Jacob has a stick that is 50 cm long. How much longer is Jacob's stick than the total length of Izzy's?

      110 cm
      74 cm
      36 cm
      Correct answer: 26 cm

      To help you plan your 3 maths lesson on: Solve problems involving length and height, download all teaching resources for free and adapt to suit your pupils' needs...