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      Compare the structure of problems with one or two unknowns

      Lesson details

      Learning outcome

      I can compare the structure of problems with one or two unknowns.

      Key learning points

      1. Unknowns can be connected additively.
      2. Unknowns can be connected multiplicatively.
      3. Representations can show if unknowns are related additively or multiplicatively.

      Keywords

      • Difference - The difference is the result of subtracting one number from another. How much one number differs from another.

      Common misconception

      Pupils struggle to understand how to represent the number rods to show the difference when trying to find the missing rod.

      Ensure pupils spend time representing each question with an equation then match this with the number rods. This may help them to visualise the missing part as well.

      Teacher tip

      If the pupils have not spent much time yet with number rods, ensure they are allowed time to explore these for themselves.

      Licence

      This content is © Oak National Academy Limited (2026), 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.
      Write in the missing number: 30 + = 180

      Correct Answer: 150

      Q2.
      Tick the possible solutions for ___ + ___ = 180

      35 and 155
      Correct answer: 40 and 140
      25 and 160
      Correct answer: 20 and 160

      Q3.
      What is the missing angle? °

      An image in a quiz
      Correct Answer: 30

      Q4.
      Without applying commutativity, how many possible solutions are there if each of the missing values are integers? ___ + ___ = 10

      5
      Correct answer: 6
      8
      9
      10

      Q5.
      Which pair of numbers that sum to 10 have a difference of 4? ___ + ___ = 10

      5 and 5
      6 and 4
      Correct answer: 7 and 3
      8 and 2
      9 and 1

      Q6.
      Write the number that is two-thirds the size of 15

      Correct Answer: 10

      6 Questions

      Q1.
      Two rods are equivalent to the dark green rod. One of them is red. What is the missing rod?

      An image in a quiz
      Red rod (A)
      Light green rod (B)
      Correct answer: Pink rod (C)
      Yellow rod (D)

      Q2.
      Two rods are equivalent to the dark green rod. One of them is light green. What is the missing rod?

      An image in a quiz
      Red (A)
      Correct answer: Light Green (B)
      Pink (C)
      Yellow (D)

      Q3.
      Two rods are equivalent to the yellow rod. What could be the missing rods be?

      An image in a quiz
      Correct answer: A: Red and light green
      B: Pink and red
      Correct answer: C: White and pink
      D: White and light green

      Q4.
      Two rods are equivalent to the pink rod. What could be the missing rods be?

      An image in a quiz
      A: Red and light green
      B: White and red
      Correct answer: C: White and light green
      Correct answer: D: Red and red

      Q5.
      Two rods are equivalent to the blue rod. There is a difference of red between the rods. What rods could they be?

      An image in a quiz
      Light green and red
      Correct answer: Yellow and light green
      Light green and white
      Yellow and pink

      Q6.
      Two rods are equivalent to the dark green. One rod is twice the size of the other rod. What rods could they be?

      An image in a quiz
      Red and yellow
      Red and light green
      Light green and white
      Correct answer: Pink and red

      To help you plan your 6 maths lesson on: Compare the structure of problems with one or two unknowns, download all teaching resources for free and adapt to suit your pupils' needs...