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      Solve calculations with missing parts

      Lesson details

      Learning outcome

      I can solve addition calculations with missing parts.

      Key learning points

      1. The change in the sum is equal to the change in the missing addend.
      2. To calculate the missing addend, the known addend must be subtracted from the sum.
      3. A bar model can be used to represent a calculation with a missing addend.

      Keywords

      • Equation - An equation is used to show that one number, calculation or expression is equal to another.

      • Unknown - An unknown is a quantity that has a set value but it is represented by a symbol or letter.

      • Whole - The whole is all the parts or everything, the total amount.

      • Part - A part is a piece or section of the whole.

      Common misconception

      The children might be inclined not to look at previous equations to help them. They might not make use of the adjustments to the whole.

      Practise some really simple versions. Start with 1 + 2 = 3 and then ask them to adjust 3 by a single-digit number. Write this underneath and then ask them which part has changed and by how much? How do they know?

      Teacher tip

      The structure of the problems in these slides (provided that you use the commutative property of addition) is very similar so make use of the learning wall by drawing up comparison arrows and blank boxes so the structure is permanently on display.

      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.
      Tick the equivalent expressions.

      Correct answer: 51 + 40 + 9
      51 + 32 + 19
      Correct answer: 50 + 42 + 8
      51 + 42 + 19

      Q2.
      Tick the two numbers that are complements to 1,000

      849
      Correct answer: 233
      245
      474
      Correct answer: 767

      Q3.
      Tick the two numbers that are decimal complements to 10

      Correct answer: 7.67
      8.49
      Correct answer: 2.33
      2.45
      4.74

      Q4.
      What is the missing number in this equation? + 61 = 150

      Correct Answer: 89

      Q5.
      What is the missing number in this equation? 26 + + 11 = 70

      Correct Answer: 33

      Q6.
      What is the missing number in this equation? + 45 + 18 = 89 + 6

      Correct Answer: 32

      6 Questions

      Q1.
      Which of the following best describes an unknown?

      The solution to a worded problem
      Correct answer: A quantity that has a set value represented by a symbol or letter
      An answer you give when you don’t know the answer

      Q2.
      What is the mass of the plasticine on the balance scale?

      An image in a quiz
      Correct Answer: 500 g, 500, 500 grams

      Q3.
      What is the mass of the plasticine on the balance scale?

      An image in a quiz
      Correct Answer: 400 g, 400

      Q4.
      Without using a written method, calculate the unknown value in the pair of equations shown.

      An image in a quiz
      Correct Answer: 57

      Q5.
      Without using a written method, calculate the unknown.

      An image in a quiz
      Correct Answer: 54,300

      Q6.
      Without using a written method, calculate the unknown value in the pair of equations shown.

      An image in a quiz
      Correct Answer: 6.72

      To help you plan your 6 maths lesson on: Solve calculations with missing parts, download all teaching resources for free and adapt to suit your pupils' needs...