int math 2 section 5-9 1011
TRANSCRIPT
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Section 5-9Problem Solving Skills:
Circle Graphs
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Essential Question
• How do you accurately create circle graphs to describe real-world data?
• Where you’ll see this:
• Market research, food service, recreation
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Vocabulary
1. Circle Graph:
2. Sector:
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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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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
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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 6Wed, Feb 02
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6Wed, Feb 02
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360° = 28.8°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360° = 28.8° (.26)360°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360° = 28.8° (.26)360° = 93.6°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360° = 28.8° (.26)360° = 93.6° (.14)360°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72° (.17)360°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72° (.17)360° = 61.2°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
Jazz 6
(.08)360° = 28.8° (.26)360° = 93.6° (.14)360° = 50.4° (.20)360° = 72° (.17)360° = 61.2° (.09)360°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
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°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
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°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
%
Oldies 8Pop 26
Alternative 14Rock 20
Hip-hop 17Indie/College 9
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°
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Example 1
a. Find the number of degrees in each central angle.TYPE OF MUSIC
% 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°
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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.
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8%
26%
14%
20%
17%
9%
6%
Favorite Type of Music
Jazz Indie/College Hip-Hop Rock AlternativePop Oldies
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6%
9%
17%
20%
14%
26%
8%
Favorite Type of Music
Jazz Indie/College Hip-Hop Rock AlternativePop Oldies
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Problem Set
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Problem Set
p. 233 #1-16 all
“Practice is a means of inviting the perfection desired.”- Martha Graham
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