New
New
Year 8
Constructing pie charts
I can construct pie charts from data.
New
New
Year 8
Constructing pie charts
I can construct pie charts from data.
Lesson details
Key learning points
- Data presented as a list can be represented as a pie chart.
- Data presented in a table can be represented as a pie chart.
- A larger data set requires considering the proportion of the total.
Keywords
Sector - A sector is the region formed between two radii and their connecting arc.
Common misconception
The frequencies on the frequency table are the angles you plot onto the pie chart.
Challenge the misconception by using an example with frequencies that clearly add to more or less than 360 e.g. {90, 90, 180, 90, 60)
Omit the practice on cycle 1 if students are already confident with pie charts using pre-made sectors. This lesson can be taught over 2 lessons to give students time to practice construction of pie charts and include data gathering investigations.
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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Starter quiz
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6 Questions
Q1.
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 half turn,180°
a half turn -
180°
Correct Answer:a three-quarter turn,270°
a three-quarter turn -
270°
Correct Answer:a full turn,360°
a full turn -
360°
Q2.
Find $${2}\over{5}$$ of 40
Correct Answer: 16, sixteen
16, sixteen
Q3.
If 8 tennis balls cost £3, then how much would 24 tennis balls cost? Make sure to include units in your answer.
Correct Answer: £9, 900p, £9.00, 9 pounds, nine pounds
£9, 900p, £9.00, 9 pounds, nine pounds
Q4.
If 5 footballs cost £30, then how much would 8 footballs cost?
£40
£42
£45
Correct answer: £48
£48
£56
Q5.
If 80 table tennis balls cost £16, then how many table tennis balls would cost £3?
12
Correct answer: 15
15
16
20
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, in pounds, did Lucas spend on books?
Correct Answer: £50, £50.00, 50
£50, £50.00, 50
Exit quiz
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6 Questions
Q1.
36 people were asked: "what do you drink whilst at work". The results will be placed in a pie chart with a total of 12 pre-defined sectors. How many sectors would represent water?
21
63
12
Correct answer: 7
7
2
Q2.
36 people were asked: "what do you drink whilst at work". The results will be placed in a pie chart with a total of 12 pre-defined sectors. How many people voted for milk?
Correct Answer: 6, 6 people, 6people, six
6, 6 people, 6people, six
Q3.
A large set of information is collected and represented in a pie chart of 20 equally-sized sectors. Each one sector represents a frequency of 45. What is the total frequency of this dataset?
Correct Answer: 900
900
Q4.
The incomplete ratio table shows a dataset being converted into angles to represent each subgroup as sectors on a pie chart. Match the letters to the correct missing values.
Correct Answer:a,60
a -
60
Correct Answer:b,360
b -
360
Correct Answer:c,6
c -
6
Correct Answer:d,66
d -
66
Correct Answer:e,108
e -
108
Q5.
Starting with the first step, put these steps for constructing a sector of a pie chart in order.
1 - Draw a straight line from the centre of the circle to its circumference.
1
- Draw a straight line from the centre of the circle to its circumference.
2 - Line the bottom centre of the protractor with the centre of the circle.
2
- Line the bottom centre of the protractor with the centre of the circle.
3 - Line the 0° on the protractor with the most recent straight line drawn.
3
- Line the 0° on the protractor with the most recent straight line drawn.
4 - Starting from 0°, find the angle you want to draw on the protractor.
4
- Starting from 0°, find the angle you want to draw on the protractor.
5 - Plot an × at this point on the protractor.
5
- Plot an × at this point on the protractor.
6 - Remove your protractor.
6
- Remove your protractor.
7 - Draw a straight line from centre of the circle through the × you plot.
7
- Draw a straight line from centre of the circle through the × you plot.
Q6.
The incomplete ratio table shows a dataset being converted into angles to represent each subgroup as sectors on a pie chart. Find the value of angle a, in degrees.
Correct Answer: 105, 105°, 105 degrees, 105degrees
105, 105°, 105 degrees, 105degrees