Course: 7th Grade Math Student Objective (Obj. 5a, 5c) TSW… use percentages to interpret data represented in a circle graph. DETAIL LESSON PLAN Thursday, March 29 / Friday, March 30 Lesson 7-7 Circle Graphs (Textbook Pages: 354-559) Extra Resources None Today Homework N/A Last Night’s Homework N/A Bellwork Pass out student notes on circle graphs. Students will read the notes and attempt you-try problem numbers 1 and 2. Prior Knowledge In the second nine weeks, we learned to find the percent of a number. Anticipatory Set Today, we will continue our unit on Data Analysis. We will use what we have learned in the past about percentages to help us interpret data represented in a circle graph… sometimes referred to as a pie chart! Why learn about circle graphs? Well, let’s look at a real world example… Show Tornados PowerPoint. (Percentages of category F1, F2, F3, F4, F5 tornados) Teacher Input Pass out Student Notes. Discuss how to interpret data in a circle graph by finding the percent of a number. Review answer to bellwork problem #1. Discuss how to determine the angle measure of each section on a circle graph. Review answer to bellwork problem #2. Have students work you-try problem. Have students work the College Preference activity. Assessment Observation and questioning. Also, major test next class. Closure Today we talked about a circle graph which we learned is another way to analyze data. 1. How many degrees are in a circle? 360° 2. How do you determine the angle measure of each section of a circle graph? You take the percent of each section, change it to a decimal, and then multiply that number by 360°. 3. Now, once again… how do find the percent of a number? Change the percent to a decimal, then multiply it by the number they give you. 4. Why do I have to change the percent to a decimal first? Well, the calculator will not accept the % symbol. We much convert the percent to a decimal by moving the decimal two places to the right then we may enter that number in our calculator. Student Notes Lesson 7-7 Circle Graphs Textbook Pages 354-359 Circle Graphs A circle graph is a graph that represents parts of a whole. The SUM of all the parts must equal 100%. We can use what we’ve learned about calculating the percent of a number to help us analyze important information in a circle graph. The National Weather Service documents that about 1,000 tornados touchdown each year in the United States. Tornados Weak (F0 - F1) Strong (F2 - F3) Violent (F4 - F5) 1% Violent 25% Strong 74% Weak Directions: Fill in the missing numbers for violent tornados. 1) Of the 1,000 tornados that touched down, how many were actually weak, strong, and violent? Weak Strong 74% .74 25% .25 .74 .25 Violent ___% ____ ____ 1000 = 1000 = ____ = Answer: Answer: 740 250 Answer: _____ Total 1,000 2) How do you determine the angle measure of each section? Every circle has 360 . Therefore, the sum of all our angle measurements must equal to 360 . To find the Angle Measurements of each section of a circle graph follow these steps: Weak Strong 74% .74 25% .25 .74 .25 360 = 360 = Answer: Answer: 266.4 90 Violent ___% ____ ___ ____ = Answer: ______ Total 360 Student Notes (Answer Key) Lesson 7-7 Circle Graphs Textbook Pages 354-359 Circle Graphs A circle graph is a graph that represents parts of a whole. The SUM of all the parts must equal 100%. We can use what we’ve learned about calculating the percent of a number to help us analyze important information in a circle graph. The National Weather Service documents that about 1,000 tornados touchdown each year in the United States. Tornados Weak (F0 - F1) Strong (F2 - F3) Violent (F4 - F5) 1% Violent 25% Strong 74% Weak Directions: Fill in the missing numbers for violent tornados. 1) Of the 1,000 tornados that touched down, how many were actually weak, strong, and violent? Weak Strong Violent 74% .74 25% .25 .74 .25 1000 = 1000 = Answer: Answer: 740 250 1% .01 .01 1000 = Answer: 10 Total 1,000 2) How do you determine the angle measure of each section? Every circle has 360 . Therefore, the sum of all our angle measurements must equal to 360 . To find the Angle Measurements of each section of a circle graph follow these steps: Weak Strong Violent 74% .74 25% .25 .74 .25 360 = 360 = Answer: Answer: 266.4 90 1% .01 .01 360 = Answer: 3.6 Total 360 Name: ____________________________ Date: _________________ Period: ____________ Brian’s high school surveyed 250 graduating seniors about what college they planned to attend. His results are shown in the circle graph. College Preference Delta State 14% Other 12% Jackson State 18% Ole Miss 30% Mississippi State 26% 1) How many students plan to attend Jackson State (.18 x 250): _________________ What is the angle measurement of the Jackson State section (.18 x 360º): _________________º 2) How many students plan to attend Mississippi State: What is the angle measurement of the Mississippi State section: _________________ _________________º 3) How many students plan to attend Ole Miss: What is the angle measurement of the Ole Miss section: _________________ _________________º 4) How many students plan to attend Delta State: What is the angle measurement of the Delta State: _________________ _________________º 5) How many students plan to attend Other Colleges: What is the angle measurement of the Other Colleges: _________________ _________________º Name: Answer Key Date: _________________ Period: ____________ Brian’s high school surveyed 250 graduating seniors about what college they planned to attend. His results are shown in the circle graph. College Preference Delta State 14% Other 12% Jackson State 18% Ole Miss 30% Mississippi State 26% 1) How many students plan to attend Jackson State (.18 x 250): What is the angle measurement of the Jackson State section (.18 x 360º): 45 64.8º 2) How many students plan to attend Mississippi State: What is the angle measurement of the Mississippi State section: 65 93.6º 3) How many students plan to attend Ole Miss: What is the angle measurement of the Ole Miss section: 75 108º 4) How many students plan to attend Delta State: What is the angle measurement of the Delta State: 35 50.4º 5) How many students plan to attend Other Colleges: What is the angle measurement of the Other Colleges: 30 43.2º
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