Problem Solving Skills: Circle Graphs

1. Section 5-9
Problem Solving Skills:
Circle Graphs
Tuesday, March 16, 2010

2. Essential Question
• How do you accurately create circle graphs
to describe real-world data?
• Where you’ll see this:
• Market research, food service, recreation
Tuesday, March 16, 2010

3. Vocabulary
1. Circle Graph:
2. Sector:
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4. Vocabulary
1. Circle Graph: A visual representation of data where
central angles are formed in a circle to show
comparisons
2. Sector:
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5. Vocabulary
1. Circle Graph: A visual representation of data where
central angles are formed in a circle to show
comparisons
2. Sector: Each part of a circle graph
Tuesday, March 16, 2010

6. Example 1
The following table shows what percentage of
people list the following types of music as their
favorite. Make a circle graph for the data. Write a
title for your graph.
TYPE OF MUSIC PERCENTAGE
Oldies 8
Pop 26
Alternative 14
Rock 20
Hip-hop 17
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

7. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8
Pop 26
Alternative 14
Rock 20
Hip-hop 17
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

8. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360°
Pop 26
Alternative 14
Rock 20
Hip-hop 17
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

9. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26
Alternative 14
Rock 20
Hip-hop 17
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

10. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360°
Alternative 14
Rock 20
Hip-hop 17
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

11. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14
Rock 20
Hip-hop 17
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

12. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14 (.14)360°
Rock 20
Hip-hop 17
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

13. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14 (.14)360° = 50.4°
Rock 20
Hip-hop 17
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

14. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14 (.14)360° = 50.4°
Rock 20 (.20)360°
Hip-hop 17
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

15. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14 (.14)360° = 50.4°
Rock 20 (.20)360° = 72°
Hip-hop 17
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

16. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14 (.14)360° = 50.4°
Rock 20 (.20)360° = 72°
Hip-hop 17 (.17)360°
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

17. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14 (.14)360° = 50.4°
Rock 20 (.20)360° = 72°
Hip-hop 17 (.17)360° = 61.2°
Indie/College 9
Jazz 6
Tuesday, March 16, 2010

18. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14 (.14)360° = 50.4°
Rock 20 (.20)360° = 72°
Hip-hop 17 (.17)360° = 61.2°
Indie/College 9 (.09)360°
Jazz 6
Tuesday, March 16, 2010

19. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14 (.14)360° = 50.4°
Rock 20 (.20)360° = 72°
Hip-hop 17 (.17)360° = 61.2°
Indie/College 9 (.09)360° = 32.4°
Jazz 6
Tuesday, March 16, 2010

20. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14 (.14)360° = 50.4°
Rock 20 (.20)360° = 72°
Hip-hop 17 (.17)360° = 61.2°
Indie/College 9 (.09)360° = 32.4°
Jazz 6 (.06)360°
Tuesday, March 16, 2010

21. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
%
MUSIC
Oldies 8 (.08)360° = 28.8°
Pop 26 (.26)360° = 93.6°
Alternative 14 (.14)360° = 50.4°
Rock 20 (.20)360° = 72°
Hip-hop 17 (.17)360° = 61.2°
Indie/College 9 (.09)360° = 32.4°
Jazz 6 (.06)360° = 21.6°
Tuesday, March 16, 2010

22. Example 1
a. Find the number of degrees in each central angle.
TYPE OF
% Degrees
MUSIC
Oldies 8 28.8°
Pop 26 93.6°
Alternativ 14 50.4°
e
Rock 20 72°
Hip-hop 17 61.2°
Indie/ 9 32.4°
College
Jazz 6 21.6°
Tuesday, March 16, 2010

23. Example 1
b. Construct the central angles for each sector.You
need to start with a radius that you can put
anywhere on the circle. Then measure each angle as
you go around until you end up where you began.
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39. Favorite Type of Music
26%
14%
8%
6%
20%
9%
17%
Jazz Indie/College Hip-Hop Rock Alternative
Pop Oldies
Tuesday, March 16, 2010

40. Favorite Type of Music
26%
14%
8%
6%
20%
9%
17%
Jazz Indie/College Hip-Hop Rock Alternative
Pop Oldies
Tuesday, March 16, 2010

41. Homework
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42. Homework
p. 233 #1-16 all
“Practice is a means of inviting the perfection desired.”
- Martha Graham
Tuesday, March 16, 2010