lesson 3-3 ideas/vocabulary use a venn diagram to solve problems

Lesson 3-3 Ideas/Vocabulary

• Use a Venn diagram to solve problems.

Lesson 3-3 TEKS

8.12 The student uses statistical procedures to describe data. (C) Select and use an appropriate representation for presenting and displaying relationships among collected data including… Venn diagrams, with and without technology.

Lesson 3-3 Example 1

LANGUAGES Of the 40 foreign exchange students attending a middle school, 20 speak French, 23 speak Spanish, and 22 speak Italian. Nine students speak French and Spanish, but not Italian. Six students speak French and Italian, but not Spanish. Ten students speak Spanish and Italian, but not French. Only 4 students speak all three languages. Use a Venn diagram to find how many exchange students do not speak any of these languages.

Use a Venn Diagram

Lesson 3-3 Example 1

Explore You know how many students speak each of the different languages. You want to organize the information.

Use a Venn Diagram

Plan Make a Venn diagram to organize the information.

Solve Draw three overlapping circles to represent the three different languages. Since 4 students speak all 4 languages, place a 4 in the section that represents all three languages. Use the other information given in the problem to fill in the other sections as appropriate.

Solve

Lesson 3-3 Example 1

Use a Venn Diagram

Add the numbers in each region of the diagram:1 + 9 + 6 + 4 + 10 + 2 = 32

Since there are 40 exchange students altogether, 40 – 32 = 8 of them do not speak French, Spanish, or Italian.

Check Check each circle to see if the appropriate number of students is represented.

Lesson 3-3 Example 1

Use a Venn Diagram

Answer: Eight of the exchange students do not speak French, Spanish, or Italian.

Lesson 3-3 Example 1 CYP

SPORTS Of the 30 students in Mr. Hall’s gym class, 14 students play basketball, 9 students play soccer, and 11 students play volleyball. Three students play basketball and soccer, but not volleyball. One student plays soccer and volleyball, but not basketball. Six students play basketball and volleyball, but not soccer. Only 2 students play all three sports. Use a Venn diagram to organize this information and then answer the question on the next slide.

A. A

B. B

C. C

D. D

Lesson 3-3 Example 1 CYP

A B

C D

0% 0%0%0%

A. 6 students

B. 8 students

C. 9 students

D. 10 students

How many students in Mr. Hall’s gym class do not play basketball, soccer, or volleyball?