New
New
Lesson 12 of 14
New
New
- Year 10
Checking understanding of pie charts
I can construct and interpret pie charts.
Lesson details
Key learning points
- Certain data is suitable for a pie chart.
- The shape of the chart can be estimated from the data.
- For larger data sets, technology can make constructing charts quicker.
Keywords
Sector - A sector is the region formed between two radii and their connecting arc.
Pie chart - A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.
Common misconception
A bigger sector on one pie chart compared to another means a larger frequency.
Pie charts show proportion, but tell nothing about frequency. The total frequency of one pie chart could be significantly larger or smaller than the other pie chart.
If pupils want to construct the pie charts, having a sheet of pre-drawn circles is useful to support with this.
Teacher tip
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.Match the descriptions for amounts of rotation with the number of degrees each is equivalent to.
Match the descriptions for amounts of rotation with the number of degrees each is equivalent to.
Correct Answer:an eighth of a turn,45°
an eighth of a turn - 45°
Correct Answer:a quarter turn,90°
a quarter turn - 90°
Correct Answer:a three-eighth turn,135°
a three-eighth turn - 135°
Correct Answer:a half turn,180°
a half turn - 180°
Correct Answer:a three-quarter turn,270°
a three-quarter turn - 270°
Correct Answer:a seven-eighth turn,315°
a seven-eighth turn - 315°
Q2.Find $${3}\over{5}$$ of 40
Find $${3}\over{5}$$ of 40
Correct Answer: 24, twenty four
24, twenty four
Q3.If 4 tennis balls cost £3, then how much would 24 tennis balls cost? Make sure to include units in your answer.
If 4 tennis balls cost £3, then how much would 24 tennis balls cost? Make sure to include units in your answer.
Correct Answer: £18, 1800p, £18.00, eighteen pounds, 18 pounds
£18, 1800p, £18.00, eighteen pounds, 18 pounds
Q4.If 5 footballs cost £35, then how much would 8 footballs cost?
If 5 footballs cost £35, then how much would 8 footballs cost?
£40
£45
£48
Correct answer: £56
£56
Q5.If 80 table tennis balls cost £22, then how many table tennis balls would cost £3?
If 80 table tennis balls cost £22, then how many table tennis balls would cost £3?
10
15
16
20
Correct answer: There would be a non-integer number of table tennis balls.
There would be a non-integer number of table tennis balls.
Q6.Sofia and Lucas both purchase books at a secondhand bookstore to donate to their school. Each book costs the same amount. How much more, in pounds, did Lucas spend on books?
Sofia and Lucas both purchase books at a secondhand bookstore to donate to their school. Each book costs the same amount. How much more, in pounds, did Lucas spend on books?
Correct Answer: £5, 5, £5.00
£5, 5, £5.00
Assessment exit quiz
6 Questions
Q1.The table shows the number of people at Location 1 and their preferred way to cook potatoes. Calculate the size of the angle for roasted potatoes.
The table shows the number of people at Location 1 and their preferred way to cook potatoes. Calculate the size of the angle for roasted potatoes.
72
Correct answer: 120
120
146
201
Q2.The table shows the number of people at Location 1 and their preferred way to cook potatoes. Calculate the size of the angle for mashed potatoes.
The table shows the number of people at Location 1 and their preferred way to cook potatoes. Calculate the size of the angle for mashed potatoes.
Correct Answer: 201
201
Q3.Below are correctly drawn pie charts showing the preferred cooking methods for potatoes for people at Locations 4 and 5. Select the statements that may not be true.
Below are correctly drawn pie charts showing the preferred cooking methods for potatoes for people at Locations 4 and 5. Select the statements that may not be true.
Correct answer: The same number of people (25 people) voted for boiled at both Locations 4 and 5
The same number of people (25 people) voted for boiled at both Locations 4 and 5
The same percentage of people (25%) voted for boiled at both Locations 4 and 5
Correct answer: A greater number of people voted for roasted in Location 5 than Location 4
A greater number of people voted for roasted in Location 5 than Location 4
A greater proportion of people voted for roasted in Location 5 than Location 4
Correct answer: The same number of people voted in Locations 4 and 5
The same number of people voted in Locations 4 and 5
Q4.True or false? A protractor with a maximum angle of 180° cannot be used to draw an angle bigger than 180°.
True or false? A protractor with a maximum angle of 180° cannot be used to draw an angle bigger than 180°.
True. The maximum angle that can be drawn is 180°.
True. The range of values is from 0 to 180.
Correct answer: False. You can split the angle into 180° plus the remaining angle.
False. You can split the angle into 180° plus the remaining angle.
False. You can draw any angle without any additional work required.
Q5.In which school did more pupils walk to school?
In which school did more pupils walk to school?
Oakfield academy.
Rowanwood school.
Correct answer: You cannot tell.
You cannot tell.
Neither - they have the same number of pupils who walk to school.
Q6.300 pupils walk to Rowanwood school. If one quarter of the 400 pupils who attend Oakfield don't walk to school, which school has more pupils that walk to it?
300 pupils walk to Rowanwood school. If one quarter of the 400 pupils who attend Oakfield don't walk to school, which school has more pupils that walk to it?
Oakfield academy.
Rowanwood school.
You cannot tell.
Correct answer: Neither - they have the same number of pupils who walk to school.
Neither - they have the same number of pupils who walk to school.
