Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

      Use written strategies and known facts to calculate the value of a missing part

      Lesson details

      Learning outcome

      I can use written strategies and known facts to calculate the value of a missing part.

      Key learning points

      1. Drawing a model for helps us to solve more complicated problems in a range of contexts.
      2. Mental strategies can be used to calculate the value of a missing part.
      3. Written strategies can be used to calculate the value of a missing part.

      Keywords

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

      • Addend - Addends are any numbers added together.

      Common misconception

      Pupils draw bar models with larger numbers within them, making them particularly time consuming.

      Where larger numbers are used, encourage children to unitise numbers into units of thousands or millions. Equally, if children are secure with what each number represents, they can label each part of the bar with a label from the context itself.

      Teacher tip

      Where possible and appropriate, encourage children to unitise and use their number facts to solve problems. Pupils may opt for a written method although question whether this is necessary, particularly when dealing with larger numbers which are multiples of thousands or ten thousands for example.

      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

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      Which equation represents this bar model made of number rods?

      An image in a quiz
      o + p + r + r = p
      p + p + p + r = o
      Correct answer: r + p + r + r = o
      Correct answer: o = p + 3 × r

      Q2.
      Alex was training for a swimming race. On Monday he swam 1.1 km. On Wednesday he swam 1,250 m and on Friday he swam 1.2 km. How far did he swim? Give your answer in metres. m

      Correct Answer: 3,550

      Q3.
      Which equations represent this problem? Jun is making a fruit drink. He has 1.35 l altogether. He has 0.65 l of orange juice and 225 ml of pineapple juice. The rest is water. How much water is needed?

      Correct answer: 1.35 l − 0.65 l − 0.225 l = water
      0.65 l − 0.225 l − water = 1.35 l
      Correct answer: 0.65 l + 0.225 l + water = 1.35 l
      0.65 l + 225 ml + 1.35 l = water

      Q4.
      0.3 + 0.1 + 0.6 = 1 Which other combination of three parts has the same whole?

      Correct answer: 0.35 + 0.05 + 0.6
      0.35 + 0.05 + 0.55
      0.3 + 0.2 + 0.6

      Q5.
      Complete the column subtraction to find the difference.

      An image in a quiz
      Correct Answer: 44.83

      Q6.
      What digit is missing from this incomplete column addition?

      An image in a quiz
      Correct Answer: 2

      6 Questions

      Q1.
      Which equations represent the bar model?

      An image in a quiz
      Correct answer: Cost of holiday = flight + hotel + leisure time + food
      Cost of holiday = Flight − hotel − leisure time − food
      Correct answer: Food = Cost of holiday − hotel − leisure time − flight

      Q2.
      Match the structure to the parts of the bar model.

      An image in a quiz
      Correct Answer:Missing addend equation,flight + hotel + food + ? = cost of holiday
      Correct Answer:Repeated subtraction equation,Cost of holiday − flight − hotel − food = ?

      Q3.
      Calculate the amount that was spent on leisure time for this holiday, which is shown by the question mark in the bar model. Leisure time = £

      An image in a quiz
      Correct Answer: 220, £220

      Q4.
      Which equations correctly represent the bar model?

      An image in a quiz
      Correct answer: Total sales − Cola − Diet Cola = ?
      Correct answer: Cola + Diet Cola + ? = Total sales
      Total sales − Cola = Diet Cola
      Total sales + Cola + Diet Cola = ?

      Q5.
      Calculate the amount of Max Cola sales using the bar models. Max Cola = £ m

      An image in a quiz
      Correct Answer: 7.2

      Q6.
      Oak United and Oak Rovers are playing in the Cup Final at Wembley Stadium. How many supporters were cheering for Oak Rovers?

      An image in a quiz
      Correct Answer: 39,800

      To help you plan your 6 maths lesson on: Use written strategies and known facts to calculate the value of a missing part, download all teaching resources for free and adapt to suit your pupils' needs...