Constructing pie charts | Maths | Quizalize & Oak National Academy

Starter quiz

Match the descriptions for amounts of rotation with the number of degrees each is equivalent to.

an eighth of a turn

⇔

45° ✓

a quarter turn

⇔

90° ✓

a half turn

⇔

180° ✓

a three-quarter turn

⇔

270° ✓

a full turn

⇔

360° ✓
Find ${2}\over{5}$ of 40

'16' ✓
If 8 tennis balls cost £3, then how much would 24 tennis balls cost? Make sure to include units in your answer.

'£9' ✓
If 5 footballs cost £30, then how much would 8 footballs cost?

£40

£42

£45

£48 ✓

£56
If 80 table tennis balls cost £16, then how many table tennis balls would cost £3?

12

15 ✓

16

20

There would be a non-integer number of table tennis balls.
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?

'£50' ✓

Exit quiz

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

7 ✓

2
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?

'6' ✓
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?

'900' ✓
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.

a

⇔

60 ✓

b

⇔

360 ✓

c

⇔

6 ✓

d

⇔

66 ✓

e

⇔

108 ✓
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.

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.

4

⇔

Starting from 0°, find the angle you want to draw on the protractor.

5

⇔

Plot an × at this point on the protractor.

6

⇔

Remove your protractor.

7

⇔

Draw a straight line from centre of the circle through the × you plot.
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.

'105' ✓

Worksheet

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Video

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.

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)

Keywords

Sector - A sector is the region formed between two radii and their connecting arc.