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      Solve addition and subtraction problems involving length

      Lesson details

      Learning outcome

      I can solve addition and subtraction problems involving length.

      Key learning points

      1. Addition and subtraction problems both involve a whole and its parts.
      2. You can think about addition and subtraction stories involving length and identify the whole and its parts.
      3. When you join two items together, you can add their lengths together to find the total length.
      4. When you remove part of an object, you subtract the amount you have removed to find the length of the remaining part.

      Keywords

      • Part - A piece or section of the whole.

      • Whole - All of something. Complete.

      Common misconception

      Children may confuse standard and non-standard units, for example measuring the height of a tower by counting the blocks rather than using a ruler to measure its length in centimetres.

      Use prompts such as, 'How many centimetres tall is this tower?' and, 'The first part of the tower is 10cm tall.' to reinforce the use of centimetres as a standard unit of measure.

      Teacher tip

      Look for meaningful contexts within the classroom environment to explore further addition and subtraction problems involving length, for example cutting pieces of wool or string in DT lessons, or when growing plants in science.

      Licence

      This content is Β© 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.
      What is the missing part in the part-part-whole model?

      An image in a quiz
      Correct Answer: 7, seven

      Q2.
      What is the missing whole in the bar model?

      An image in a quiz
      Correct Answer: 14, fourteen

      Q3.
      Which equation matches this representation of doubling?

      An image in a quiz
      5 + 5 = 10
      Correct answer: 6 + 6 = 12
      2 + 2 = 4

      Q4.
      19 is equal to plus 10

      Correct Answer: 9, nine

      Q5.
      Match the doubling representations to their equations.

      Correct Answer:πŸŸ’πŸŸ’πŸŸ’πŸ”΅πŸ”΅πŸ”΅,3 + 3 = 6

      3 + 3 = 6

      Correct Answer:⚫⚫⚫⚫⚫βšͺβšͺβšͺβšͺβšͺ,5 + 5 = 10

      5 + 5 = 10

      Correct Answer:🟣🟣🟣🟣🟑🟑🟑🟑,4 + 4 = 8

      4 + 4 = 8

      Q6.
      Which equation does this β€˜first, then, now’ story represent?

      An image in a quiz
      8 βˆ’ 6 = 2
      6 βˆ’ 2 = 8
      Correct answer: 8 βˆ’ 2 = 6
      8 βˆ’ 8 = 6

      6 Questions

      Q1.
      Look at the tower of blocks. It shows that 6 cm is a part and 10 cm is a part. 16 cm is the .

      An image in a quiz
      Correct Answer: whole

      Q2.
      True or false. If we change the order of the addends, the sum stays the same.

      An image in a quiz
      Correct answer: True
      False

      Q3.
      Match the double number to the correct total.

      Correct Answer:double 5 ,10

      10

      Correct Answer:double 6,12

      12

      Correct Answer:double 7,14

      14

      Q4.
      Look at the part-part-whole model. Match the numbers to the correct words,

      An image in a quiz
      Correct Answer:5 is,a part

      a part

      Correct Answer:15 is,the whole

      the whole

      Correct Answer:10 is,a part

      a part

      Q5.
      Look at the playdough snake that Lucas made. The whole snake was 16 cm long. He snipped off a part and the part that was left was 6cm long. How long was the part that Lucas snipped off? cm.

      An image in a quiz
      Correct Answer: 10, 10 cm

      Q6.
      Which calculations could this part-part-whole model show?

      An image in a quiz
      10 cm + 18 cm = 8 cm
      Correct answer: 18 cm βˆ’ 10 cm = 8 cm
      Correct answer: 18 cm = 10 cm + 8 cm

      To help you plan your 1 maths lesson on: Solve addition and subtraction problems involving length, download all teaching resources for free and adapt to suit your pupils' needs...