New
New
Year 6

Use understanding of angles, fractions and percentages to construct pie charts

I can construct pie charts using angles, fractions and percentages.

New
New
Year 6

Use understanding of angles, fractions and percentages to construct pie charts

I can construct pie charts using angles, fractions and percentages.

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Lesson details

Key learning points

  1. A pie chart is another way of presenting data representing parts of a whole.
  2. Pie charts can be constructed using knowledge of angles and fractions.
  3. A protractor is used to accurately measure each angle.

Keywords

  • 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 mistakes measuring with a protractor, reading the wrong scale to get a measurement.

Encourage pupils to check that each answer is sensible. Is the angle greater or less than a right angle? Have they drawn an angle greater/less than a right angle? Do all the angles add up to a sum of 360°?

This lesson uses several mathematical skills in the construction of pie charts. Pupils should have some familiarity with pie charts and also have a good understanding of fractions and percentages, including how to simplify a fraction. They should also be able to measure angles with a protractor.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), 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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6 Questions

Q1.
The pie chart shows the favourite pets of 24 Year 6 children. Which of the following is true?
An image in a quiz
Correct answer: 12 children chose dogs as their favourite pets.
3 children chose rabbits as their favourite pet.
Correct answer: 6 children chose cats as their favourite pet.
Q2.
This pie chart shows the lunch choices made by the Year 6 children last week. An equal number of children chose pizza, pasta and fish. How many degrees is the sector for pizza?
An image in a quiz
Correct answer: 60°
120°
72°
Q3.
The pie chart represents the number of children from different year groups in Art class. What percentage of children were from Year 5? %
An image in a quiz
Correct Answer: 4
Q4.
The pie chart shows the hobbies of 48 children. An equal number chose jogging, cinema and art. 2 more children preferred reading to cycling. Match the activity to the correct number of children.
An image in a quiz
Correct Answer:Cinema,8

8

Correct Answer:Cycling,11

11

Correct Answer:Reading,13

13

Q5.
The pie chart represents the travel of 60 Year 5 children last week. How many children walked to school?
An image in a quiz
Correct Answer: 21
Q6.
The pie chart represents the favourite fruit of the 120 children in Key Stage 1 at Oak Academy. 10% more children chose cherries than chose pears. What percentage of children chose cherries? %
An image in a quiz
Correct Answer: 20

6 Questions

Q1.
Izzy goes pond dipping and collects 36 creatures. She draws a pie chart to show her data. How many degrees will the sector to show the tadpoles be? °
An image in a quiz
Correct Answer: 90
Q2.
Jun draws a pie chart to represent the 18 creatures he found while pond-dipping. The sector to represent the water boatmen measures 40°. How many did he find?
Correct Answer: 2, two
Q3.
Jacob goes pond dipping and only finds 9 creatures. He draws a pie chart. How many degrees are needed for a sector to show 5 creatures? °
Correct Answer: 200
Q4.
Over a week of birdwatching, Jacob spots 18 birds and represents the data as a pie chart. He sees 6 sparrows. How many degrees will the sector for this be? °
Correct Answer: 120
Q5.
Jun notices that $${1} \over {5}$$ of the whole amount of creatures he collected in a pond dip are water snails. How many degrees would be needed to represent this on his pie chart? °
Correct Answer: 72
Q6.
Izzy counts 50 different minibeasts at the park. 5 of them were woodlice. How many degrees would she need to represent this on a pie chart? °
Correct Answer: 36