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      Interpret the scales used in graphs, including pie charts, to solve problems

      Lesson details

      Learning outcome

      I can solve problems using line graphs and pie charts.

      Key learning points

      1. A pie chart represents parts of a whole.
      2. A line graph represents the relationship between two variables.
      3. Place value helps you to interpret partially marked scales and axes.

      Keywords

      • Line graph - A line graph is a graph where the points are connected by lines.

      • Pie chart - A pie chart is a circular graph where sectors represent different groups in proportion to each other.

      • Sector - A sector is a part, or ‘pie-slice’ part, of a pie chart.

      Common misconception

      Pupils may make errors interpreting information from pie charts, especially with making links between angles, fractions, percentages and working out an answer to a question.

      Display 'benchmarks' in the classroom, showing a pie chart with labelled sectors (e.g. showing that 10% is equal to one tenth or 36° of the chart; 25% is equal to one quarter or 90°).

      Teacher tip

      Pupils need to have some familiarity with both line graphs and pie charts before this session. Give the pupils a chance to talk about the graphs too, making observations and asking questions (e.g. 'Why wasn't Izzy running here?' or 'The pie chart shows that Jacob scored the most points.')

      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.
      The line graph shows how the temperature changes between the hours of 8 am and 7 pm. Estimate the temperature at 9:30 am. °C

      An image in a quiz
      Correct Answer: 7, 8, 7.5

      Q2.
      This line graph shows how Izzy’s height has changed as she has grown. At what age would Izzy have been 110 cm tall?

      An image in a quiz
      Correct Answer: 5, five, five years, 5 years

      Q3.
      This line graph shows Sam’s height from birth. Estimate Sam’s height at age 3 years.

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      90 cm
      Correct answer: 93 cm
      95 cm
      100 cm

      Q4.
      The line graph shows the children’s journeys from school. At what time does Izzy leave home?

      An image in a quiz
      8:15 am
      Correct answer: 8:20 am
      8:35 am

      Q5.
      Which child’s journey takes the longest time?

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      Izzy
      Correct answer: Jacob
      Sofia

      Q6.
      The pie chart shows children's lunch choices. Which of these statements are correct?

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      Correct answer: The same number of children chose pasta as pizza.
      The same number of children chose packed lunch as pizza.
      Correct answer: More children chose packed lunch than pizza.
      Correct answer: Fewer children chose fish than lasagne.
      Lasagne was the least popular choice.

      6 Questions

      Q1.
      Andeep took part in the 800 m race. Estimate the time it took him to complete it.

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      5 minutes and 30 seconds
      Correct answer: 5 minutes and 40 seconds
      5 minutes and 55 seconds
      6 minutes

      Q2.
      Andeep took part in an obstacle race including three challenges where he had to stop and complete a task. Estimate how long it took for him to reach the third challenge.

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      35 seconds
      Correct answer: 37 seconds
      40 secods

      Q3.
      At what time did Izzy catch up with Andeep during the race? seconds.

      An image in a quiz
      Correct Answer: 25

      Q4.
      The children were taking part in a skipping challenge at Sports Day. Altogether they scored 160 points. How many points did Andeep score? points.

      An image in a quiz
      Correct Answer: 64

      Q5.
      The pie chart shows the number of points scored in a bean bag competition at Sports Day. The total number of points scored was 280; Sofia scored 40% of the points. How many points did Jun score?

      An image in a quiz
      Correct Answer: 56

      Q6.
      The pie chart shows the number of points scored in a bean bag competition at Sports Day. The total number of points scored was 280; Sofia scored 40% of the points. How many points did Alex score?

      An image in a quiz
      Correct Answer: 42

      To help you plan your 6 maths lesson on: Interpret the scales used in graphs, including pie charts, to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...