Transcript File

Five-Minute Check (over Lesson 3–2)
Main Idea
Example 1: Use a Venn Diagram
• Use a Venn diagram to solve problems.
Use a Venn Diagram
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
Understand You know how many students speak each
of the different languages. You want to
organize the information.
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.
Use a Venn Diagram
Solve
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.
Use a Venn Diagram
Answer: Eight of the exchange students do not speak
French, Spanish, or Italian.
Check
Check each circle to see if the appropriate
number of students is represented.
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.
How many students in Mr. Hall’s gym class do not
play basketball, soccer, or volleyball?
A. 6 students
B. 8 students
C. 9 students
D. 10 students
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
End of the Lesson
Five-Minute Check (over Lesson 3–2)
Image Bank
Math Tools
Square Roots
The Pythagorean Theorem
(over Lesson 3-2)
Estimate
to the nearest whole number.
A. 5
B. 6
C. 7
D. 8
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 3-2)
Estimate
to the nearest whole number.
A. 6
B. 7
C. 8
D. 9
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 3-2)
Estimate the solution of x2 = 102 to the nearest
integer.
A. ± 4
B. ± 5
C. ± 10
D. ± 11
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 3-2)
Estimate the solution of p2 = 62 to the nearest integer.
A. ± 3
B. ± 4
C. ± 7
D. ± 8
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 3-2)
Choose the two numbers that have square roots
between 9 and 10.
A. 82, 87
B. 80, 87
C. 79, 101
D. 82, 101
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 3-2)
Which of the following is in order from least to
greatest?
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D