1. goteachmaths.co.uk Pie Charts – Complete Lesson
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2. 22 September 2018
Pie Charts

3. How can we compare this data?
90 students were asked what their
favourite sport was.
20 students preferred tennis.
10 students liked golf.
Football was the favourite sport for 30 students.
15 students chose cricket.
15 students picked basketball.
How can we compare this data?

4. We’ll use a pie!

5. A table helps us organise the data.
Favourite Sport
Golf
Football
Basketball
Tennis
Cricket
Students
(Frequency) 10 30 15 20
The whole ‘pie’ represents the 90 students.
Each ‘slice’ represents a category.
Cricket
Golf
Football
Tennis
Basketball

6. A pie chart shows the proportion of frequencies.
We can easily compare the sectors (‘slices’) to compare the data.
Cricket
Golf
Football
Tennis
Basketball

7. 360 90 =4° How many degrees in the total pie? 360°
If we surveyed 90 people,
how many degrees is one person ‘worth’ in the pie?
=4°
10 people like golf.
(40°)

8. 360 divides exactly by 60, so each person can be represented by 6°.
The scaling method
60 students were surveyed about their favourite drink.
Favourite Drink
Cola
Water
Lemonade
Orange Juice
Blackcurrent
Students
(Frequency) 10 20 15 5
360 divides exactly by 60, so each person can be represented by 6°.
Favourite Drink
Frequency
Calculation
Angle
Cola 10
10 x 6
60°
Water 20
20 x 6
120°
Lemonade
Orange Juice 15
15 x 6
90°
Blackcurrent 5
5 x 6
30°
Blackcurrent
Cola
Orange
Juice
Water
Lemonade
Check it equals 360°!
Label the sectors!

9. 360 divides exactly by 60, so each person can be represented by 6°.
The scaling method
60 students were surveyed about their favourite drink.
Favourite Drink
Cola
Water
Lemonade
Orange Juice
Blackcurrent
Students
(Frequency) 10 20 15 5
360 divides exactly by 60, so each person can be represented by 6°.
Favourite Drink
Frequency
Calculation
Angle
Cola 10
10 x 6
60°
Water 20
20 x 6
120°
Lemonade
Orange Juice 15
15 x 6
90°
Blackcurrent 5
5 x 6
30°
Blackcurrent
Cola
Orange
Juice
Water
No animation.
Lemonade
Check it equals 360°!
Label the sectors!

10. 30 students were surveyed about their favourite pet.
Complete the table and find the angle for each category.
Favourite Pet
Frequency
Calculation
Angle
Dog 10
Rabbit 8
Cat 12
Assessment - Answers

11. 30 students were surveyed about their favourite pet.
Complete the table and find the angle for each category.
=12
Favourite Pet
Frequency
Calculation
Angle
Dog 10
10 x 12
120°
Rabbit 8
8 x 12
96°
Cat 12
12 x 12
144°
Assessment

12. 10 90 How many degrees in the total pie? 360°
If we surveyed 90 people,
and 10 people liked golf, what fraction of the pie is that?
So, we want of 360°.
x 360° = 40°

13. The proportional method
60 students were surveyed about their favourite drink.
Favourite Drink
Cola
Water
Lemonade
Orange Juice
Blackcurrent
Students
(Frequency) 10 20 15 5
We can calculate the fraction of each category, and take that fraction of 360°.
Favourite Drink
Frequency
Calculation
Angle
Cola 10
x 360°
60°
Water 20
x 360°
120°
Lemonade
Orange Juice 15
x 360°
90°
Blackcurrent 5
5 60 x 360°
30°
Blackcurrent
Cola
Orange
Juice
Water
Lemonade
Check it equals 360°!
Label the sectors!

14. The proportional method
60 students were surveyed about their favourite drink.
Favourite Drink
Cola
Water
Lemonade
Orange Juice
Blackcurrent
Students
(Frequency) 10 20 15 5
We can calculate the fraction of each category, and take that fraction of 360°.
Favourite Drink
Frequency
Calculation
Angle
Cola 10
x 360°
60°
Water 20
x 360°
120°
Lemonade
Orange Juice 15
x 360°
90°
Blackcurrent 5
5 60 x 360°
30°
Blackcurrent
Cola
Orange
Juice
Water
No animation.
Lemonade
Check it equals 360°!
Label the sectors!

15. 30 students were surveyed about their favourite pet.
Complete the table and find the angle for each category.
Favourite Pet
Frequency
Calculation
Angle
Dog 10
Rabbit 8
Cat 12
Assessment

16. Dog 10 10 30 x 360° 120° Rabbit 8 8 30 x 360° 96° Cat 12 12 30 x 360°
30 students were surveyed about their favourite pet.
Complete the table and find the angle for each category.
Favourite Pet
Frequency
Calculation
Angle
Dog 10
x 360°
120°
Rabbit 8
8 30 x 360°
96°
Cat 12
x 360°
144°
Assessment - Answers

17. 1) 2) 30 students were asked about their favourite food.
Copy & complete the table.
Use the information to draw a pie chart.
Food
Frequency
Calculation
Angle
Burger 12
Pasta 6
Salad 10
Sausages 2 2)
Complete a pie chart to represent the way 90 students get to school.
Transport
Walk
Bus
Car
Bike
Frequency 30 35 10 ?

18. 1) 2) Answers 30 students were asked about their favourite food.
Copy & complete the table.
Use the information to draw a pie chart.
Food
Frequency
Calculation
Angle
Burger 12
x 360°
144°
Pasta 6
6 30 x 360°
72°
Salad 10
x 360°
120°
Sausages 2
2 30 x 360°
24°
Answers 2)
Answers
Complete a pie chart to represent the way 90 students get to school.
Transport
Walk
Bus
Car
Bike
Frequency
30 (120°)
35 (140°)
10 (40°)
15 (60°)

19. 1) Answers 30 students were asked about their favourite food.
Copy & complete the table.
Use the information to draw a pie chart.
Sausages
Answers
Salad
Burger
Pasta
Answers

20. 2)
Complete a pie chart to represent the way 90 students get to school.
Transport
Walk
Bus
Car
Bike
Frequency
30 (120°)
35 (140°)
10 (40°)
15 (60°)
Answers
Bike
Walk
Car
Answers
Bus

21. Food
Frequency
Calculation
Angle
Burger
Pasta
Salad
Sausages
Food
Frequency
Calculation
Angle
Burger
Pasta
Salad
Sausages
Scaffolded pie chart templates to print.

22. Pie chart templates to print.

23. 1. 3.
10 students were asked about their favourite sport.
40 teachers were surveyed to see what car they drove.
Sport
Football
Rugby
Swimming
(Frequency) 4 5 1
Food
Ford
Honda
Nissan
Ferrari
(Frequency) 8 12 16 4
Use the template to complete a pie chart.
Remember to label it!
Use the template to complete a pie chart
showing this information. 2.
20 students were asked about their favourite food.
60 teachers were surveyed to see what phone they had.
Complete the table to see what angle each category
would have in a pie chart. 4.
Food
Chips
Pasta
Burgers
Salad
(Frequency) 4 8 2 6
Company
Frequency
Calculation
Angle
Samsung 20
Sony 12
Apple 18
HTC 10
Use the template to complete a pie chart
showing this information.

24. Answers Ferrari Swimming Ford Football Nissan Honda Rugby Chips Salad1. 3.
10 students were asked about their favourite sport.
40 teachers were surveyed to see what car they drove.
Sport
Football
Rugby
Swimming
(Frequency) 4 5 1
Food
Ford
Honda
Nissan
Ferrari
(Frequency) 8 12 16 4
Ferrari
Use the template to complete a pie chart.
Remember to label it!
Use the template to complete a pie chart
showing this information.
Swimming
Ford
Answers
Football
Nissan
Honda
Rugby 2.
20 students were asked about their favourite food.
60 teachers were surveyed to see what phone they had.
Complete the table to see what angle each category
would have in a pie chart. 4.
Food
Chips
Pasta
Burgers
Salad
(Frequency) 4 8 2 6
Company
Frequency
Calculation
Angle
Samsung 20
120°
Sony 12
72°
Apple 18
108°
HTC 10
60°
Use the template to complete a pie chart
showing this information.
Chips
Answers
Salad
Pasta
Burgers

25. 1. 3.
40 students were asked about their favourite colour.
140 students were asked for their favourite hobby.
Colour
Red
Green
Yellow
Blue
Frequency 4 8 12 16
Hobby
Computer TV
Dance
Music
Acting
Frequency 33 42 22 27 16
Complete the table below to calculate the angle for each category.
Use the angles to draw a pie chart.
Label the pie chart.
Complete a pie chart to show this information 4.
400 people were asked about their favourite type of TV program.
Company
Frequency
Calculation
Angle
Red
Green
Yellow
Blue
Program
Drama
Sport
Quiz Shows
Music
News
Wildlife
Frequency
130 84 ? 36 38 72
Complete a pie chart to show this information 5.
A restaurant asked 600 customers about whether they would
come back. Their answers are shown below. 2.
Don’t
Know
138°
Certainly
90°
90 students were asked how many siblings they had.
No. of Siblings
Zero
One
Two
Three 4+
Frequency 28 24 18 12 8
Maybe
60° No
Complete a table to calculate the angle for each category.
Use the angles to draw a pie chart.
Label the pie chart.
a) In a table, show how many people gave each response.
b) What percentage said they wouldn’t come back?

26. Answers 36° 72° 108° 144° 85° 108° 57° 69° 41° 117° 76° 36° 32° 34 65°1. 3.
40 students were asked about their favourite colour.
140 students were asked for their favourite hobby.
Colour
Red
Green
Yellow
Blue
Frequency 4 8 12 16
Hobby
Computer TV
Dance
Music
Acting
Frequency 33 42 22 27 16
85°
108°
57°
69°
41°
Complete the table below to calculate the angle for each category.
Use the angles to draw a pie chart.
Label the pie chart.
Complete a pie chart to show this information
Answers 4.
400 people were asked about their favourite type of TV program.
Company
Frequency
Calculation
Angle
Red
36°
Green
72°
Yellow
108°
Blue
144°
Program
Drama
Sport
Quiz Shows
Music
News
Wildlife
Frequency
130 84 40 36 38 72
Complete a pie chart to show this information
117°
76°
36°
32° 34
65° 5.
A restaurant asked 600 customers about whether they would
come back. Their answers are shown below.
150 2.
Certainly
90°
90 students were asked how many siblings they had.
Don’t
Know
138°
Answers
230
No. of Siblings
Zero
One
Two
Three 4+
Frequency 28 24 18 12 8
Maybe
60° No
72°
100
120
Complete a table to calculate the angle for each category.
Use the angles to draw a pie chart.
Label the pie chart.
112°
96°
72°
48°
32°
a) In a table, show how many people gave each response.
b) What percentage said they wouldn’t come back?
20%

27. Check your success!
I can complete a table to show the angles for categories.
I can draw a pie chart using values.
I can draw a pie chart from a frequency table.

28. Check your success!
I can complete a table to show the angles for categories.
I can draw a pie chart using values.
I can draw a pie chart from a frequency table.
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