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      Use part-part-whole structures to solve additive problems in a range of contexts

      Lesson details

      Learning outcome

      I can use knowledge of part-part-whole structures to solve additive problems in a range of contexts.

      Key learning points

      1. A representation helps to make sense of an equation or problem.
      2. A bar model can be used to help solve additive problems.
      3. A part-whole model can be used to identify the equation needed to solve an additive problem.

      Keywords

      • Represent - To represent something means to show something in a different way.

      Common misconception

      Pupils struggle to find a way into solving the number puzzles at first.

      It is important that pupils can identify what the whole is for each problem. Encourage pupils to draw a bar model to help link the problem to its part and wholes. This may help them identify the parts and whole and how to calculate any missing parts.

      Teacher tip

      Once pupils have completed the problems for themselves, encourage them to have a go at creating their own puzzles for a friend to tackle. Also exploring wider contexts for problems that have a missing part will continue to deepen their understanding of where this structure is found in real life.

      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.
      How many metres are equivalent to 1 kilometre? ___m = 1 km

      10
      100
      Correct answer: 1,000
      10,000

      Q2.
      Match the number to the missing part of the statement to make it correct.

      Correct Answer:1 l is equivalent to ___ millilitres,1,000

      1,000

      Correct Answer:£1 is equivalent to ___ pence,100

      100

      Correct Answer:1,000 g is equivalent to ___ kg,1

      1

      Q3.
      Match the bar model to the correct equation it represents.

      An image in a quiz
      Correct Answer:Bar model A,254 = 179 + 75

      254 = 179 + 75

      Correct Answer:Bar model B,75 + 104 = 179

      75 + 104 = 179

      Correct Answer:Bar model C,254 + 75 = 329

      254 + 75 = 329

      Q4.
      Complete the column addition to find the sum.

      An image in a quiz
      Correct Answer: 10.11

      Q5.
      Complete the column subtraction to find the difference.

      An image in a quiz
      Correct Answer: 1.39

      Q6.
      What is the difference between 7.65 and 6.98? Use a counting on strategy.

      Correct Answer: 0.67

      6 Questions

      Q1.
      What is the missing addend in this part of the puzzle?

      An image in a quiz
      Correct Answer: 385

      Q2.
      In this puzzle, each row and column sum to six. What are the correct missing numbers?

      An image in a quiz
      A = $$2\frac{3}{4}$$
      Correct answer: A = $$1\frac{3}{4}$$
      Correct answer: B = $$2\frac{1}{4}$$
      B = $$3\frac{1}{4}$$

      Q3.
      In this puzzle, each row and column sum to 14.5. What are the correct missing numbers?

      An image in a quiz
      B = 2.3
      A = 2.5
      Correct answer: B = 2.6
      Correct answer: A = 2.2

      Q4.
      The 326 pupils in the school are divided into four houses. How many pupils are in Oak house?

      An image in a quiz
      Correct Answer: 76

      Q5.
      The table shows the number of pupils taking part in each event at Sports day. Calculate the missing value A.

      An image in a quiz
      Correct Answer: 16

      Q6.
      The table shows the number of pupils taking part in each event at Sports day. Calculate the missing value B.

      An image in a quiz
      Correct Answer: 81

      To help you plan your 6 maths lesson on: Use part-part-whole structures to solve additive problems in a range of contexts, download all teaching resources for free and adapt to suit your pupils' needs...