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# Integrated Math 2 Section 5-9

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Problem Solving Skills: Circle Graphs

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### Integrated Math 2 Section 5-9

1. 1. Section 5-9 Problem Solving Skills: Circle Graphs Tuesday, March 16, 2010
2. 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. 3. Vocabulary 1. Circle Graph: 2. Sector: Tuesday, March 16, 2010
4. 4. Vocabulary 1. Circle Graph: A visual representation of data where central angles are formed in a circle to show comparisons 2. Sector: Tuesday, March 16, 2010
5. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. Tuesday, March 16, 2010
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39. 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. 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. 41. Homework Tuesday, March 16, 2010
42. 42. Homework p. 233 #1-16 all “Practice is a means of inviting the perfection desired.” - Martha Graham Tuesday, March 16, 2010