integrated math 2 section 5-9

Section 5-9Problem Solving Skills:

Circle Graphs

Tuesday, March 16, 2010

Essential Question

• How do you accurately create circle graphs to describe real-world data?

• Where you’ll see this:

• Market research, food service, recreation


Vocabulary

1. Circle Graph:

2. Sector:


Vocabulary

1. Circle Graph: A visual representation of data where central angles are formed in a circle to show comparisons

2. Sector:


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


Example 1The 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 PERCENTAGEOldies 8Pop 26

Alternative 14Rock 20

Hip-hop 17Indie/College 9

Jazz 6Tuesday, March 16, 2010

Example 1

a. Find the number of degrees in each central angle.TYPE OF MUSIC

%

Oldies 8Pop 26



Jazz 6Tuesday, March 16, 2010

Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6° (.14)360°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72° (.17)360°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72° (.17)360° = 61.2°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72° (.17)360° = 61.2° (.09)360°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72° (.17)360° = 61.2° (.09)360° = 32.4°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72° (.17)360° = 61.2° (.09)360° = 32.4° (.06)360°


Example 1


%

Oldies 8Pop 26



Jazz 6

(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72° (.17)360° = 61.2° (.09)360° = 32.4° (.06)360° = 21.6°


Example 1


% Degrees

Oldies 8Pop 26

Alternative

14Rock 20

Hip-hop 17Indie/

College9

Jazz 6

28.8° 93.6° 50.4° 72°

61.2° 32.4° 21.6°


Example 1b. 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.


8%

26%

14%

20%

17%

9%

6%

Favorite Type of Music

Jazz Indie/College Hip-Hop Rock AlternativePop Oldies


6%

9%

17%

20%

14%

26%

8%

Favorite Type of Music

Jazz Indie/College Hip-Hop Rock AlternativePop Oldies


Homework


Homework

p. 233 #1-16 all

“Practice is a means of inviting the perfection desired.”- Martha Graham


integrated math 2 section 5-9

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