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7-4 Reading and Interpreting Circle Graphs
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
7-4 Reading and Interpreting Circle Graphs
Warm UpWrite each fraction as a percent.
1. 2. 3.
Write each percent as a fraction.
4. 20% 5. 25% 6.60%
75% 10% 40%34
110
25
15
14
35
7-4 Reading and Interpreting Circle Graphs
Problem of the Day
Riddle: When does 1 + 1 + 1 = 1?1 ft + 1 ft + 1 ft = 1 yd
7-4 Reading and Interpreting Circle Graphs
MA.7.S.6.2 Construct and analyze…circle graphs.
Sunshine State Standards
7-4 Reading and Interpreting Circle Graphs
Vocabulary
circle graphsector
7-4 Reading and Interpreting Circle Graphs
A circle graph, also called a pie chart, shows how a set of data is divided into parts.
The entire circle contains 100% of the data.
Each sector, or slice, of the circle represents one part of the entire data set.
7-4 Reading and Interpreting Circle Graphs
The circle graph compares the number of species in each group of echinoderms. Echinoderms are marine animals that live on the ocean floor.
7-4 Reading and Interpreting Circle Graphs
Use the circle graph to answer the question.
Additional Example 1A: Life Science Application
Which group of echinoderms includes the fewest number of species?
The sector for sea lilies and feather stars is the smallest, so this group includes the fewest number of species.
7-4 Reading and Interpreting Circle Graphs
Use the circle graph to answer the question.
Additional Example 1B: Life Science Application
Approximately what percent of echinoderm species are brittle stars and basket stars?
about , so approximately 33%
13
7-4 Reading and Interpreting Circle Graphs
Use the circle graph to answer each question.
Check It Out: Example 1A
Which size car sold the most?
Midsize
Small
LuxuryLarge
The sector for midsize cars is larger than any other of the sectors of car sizes. This means midsize cars were sold the most.
7-4 Reading and Interpreting Circle Graphs
Use the circle graph to answer each question.
Check It Out: Example 1B
Approximately what percent of cars sold were midsize?
Midsize
Small
LuxuryLarge
The midsize sector is approximately half or about 50%.
7-4 Reading and Interpreting Circle Graphs
Use the circle graph to answer each question.
Check It Out: Example 1C
Which size sold less—large or small?
Midsize
Small
LuxuryLarge
The smallest sector between Large and Small is Large. Large sized cars sold less.
7-4 Reading and Interpreting Circle Graphs
Leon surveyed 30 people about pet ownership. The circle graph shows his results. Use the graph to answer each question.
Additional Example 2A: Interpreting Circle Graphs
How many people own dogs only?
The circle graph shows that 20% of the 30 people own dogs only.
20% of 30 = 0.2 • 30
= 66 people own dogs only.
7-4 Reading and Interpreting Circle Graphs
Leon surveyed 30 people about whether they own pets. The circle graph shows his results. Use the graph to answer each question.
Additional Example 2B: Interpreting Circle Graphs
How many people own both cats and dogs?
Since 20% is 6 people, 10% is 3 people.
3 people own both cats and dogs.
7-4 Reading and Interpreting Circle Graphs
Check It Out: Example 2A
Fifty students were asked which instrument they could play. The circle graph shows the responses. Use the graph to answer each question.
How many students do not play an instrument?
piano20%
no instrument50%
flute10%
drum20%
The circle graph shows that 50% of 50 students do not play an instrument.
50% of 50 = 0.5 • 50
= 25
25 students do not play an instrument.
7-4 Reading and Interpreting Circle Graphs
Check It Out: Example 2B
Fifty students were asked which instrument they could play. The circle graph shows the responses. Use the graph to answer each question.
Ten students said they play the piano. How many play the flute?
Since 20% is 10 students, 10% is 5 students.
Five students play the flute. piano
20%
no instrument50%
flute10%
drum20%
7-4 Reading and Interpreting Circle Graphs
A company reports its annual charitable contributions. Draw a circle graph to represent this data.
Additional Example 3: Drawing a Circle Graph
Step 1: Find the total dollars contributed.
120,000 + 60,000 + 120,000 + 96,000 + 84,000 = 480,000
7-4 Reading and Interpreting Circle Graphs
Additional Example 3 Continued
Step 2: Find the percent each cause is to the whole.
Education and Health
Environment Disaster Relief
Arts & Humanties
Step 3: Multiply the percent times 360 (the total number of degrees in a circle) for each contribution to find the measure of the central angle.
7-4 Reading and Interpreting Circle Graphs
Additional Example 3 Continued
Step 4: Use a protractor to draw each angle inside a circle. Label each wedge with the corresponding percent.
7-4 Reading and Interpreting Circle Graphs
A group of track and field members are asked which event is their favorite. Draw a circle graph to represent this data.
Check It Out: Example 3
Step 1: Find the total number of members.
24 + 18 + 30 + 12 + 36 = 120
7-4 Reading and Interpreting Circle Graphs
Check It Out: Example 3 Continued
Step 2: Find the percent each event is to the whole.
Sprints
Hurdles Jumping
Relay
Step 3: Multiply the percent times 360 (the total number of degrees in a circle) for each event to find the measure of the central angle.
Throwing
7-4 Reading and Interpreting Circle Graphs
Check It Out: Example 3 Continued
Step 4: Use a protractor to draw each angle inside a circle. Label each wedge with the corresponding percent.
7-4 Reading and Interpreting Circle Graphs
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
7-4 Reading and Interpreting Circle Graphs
Lesson Quiz: Part IUse the circle graph to answer questions 1-4.
1. Which group of CDs sold the most?
2. What percent of the CD sales are country?
3. Which type of CD sells the least?
4. If a total of 500 CD’s are sold, how many are Jazz?
rock
27%
rap
55
41%
7-4 Reading and Interpreting Circle Graphs
Lesson Quiz: Part II
5. Would a bar or circle graph best display the sales of a department store for the last 5 months?
bar graph
7-4 Reading and Interpreting Circle Graphs
1. The members of a club were asked to vote for their favorite holiday destination. The results are shown in the form of a circle graph. Which destination was preferred the most by the members?
A. PortugalB. FranceC. GreeceD. Spain
Lesson Quiz for Student Response Systems
7-4 Reading and Interpreting Circle Graphs
2. 300 students in a school play any one musical instrument. The circle graph shows what percentage of students play different instruments. How many students play guitar?
A. 15B. 36C. 96D. 144
Lesson Quiz for Student Response Systems
7-4 Reading and Interpreting Circle Graphs
3. Which of the following would be the best display for the nutritional value of a food item?
A. bar graphB. double bar graphC. histogramD. circle graph
Lesson Quiz for Student Response Systems