The document provides examples and explanations of Venn diagrams through multiple word problems and diagrams. It begins with an introduction to Venn diagrams and their inventor John Venn. Several examples are then given showing student enrollment in various classes through Venn diagrams constructed from provided data in tables. Students are asked to determine totals and subsets from the diagrams. The document concludes with additional practice problems and homework assignments related to Venn diagrams.

1. AIM: Venn Diagrams
Do Now
Basic Skills Quiz #10
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2. Basic Skills Quiz #10
1.) Add and write your answer in simplest form.
4
3
4 + 28
5
2.) Complete the following decimal operation.
2.25 1.4
3.) What is the Greatest Common Factor of 12 and 46?
4.) Evaluate the following using the order of operations.
5.) Round the following to the nearest inch.
13.625 inches
2

3. Homework: Pages 6-7 #5-13 all, 17ab, 23-31 all
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4. At a school, 14 students are taking English Composition and
29 are taking Chemistry. If five students are in both
classes, how would you display this data into a Venn
Diagram?
English Chemistry
4

5. JOHN VENN HISTORY
(1834­1923)
• Venn diagrams were introduced in 1880
by John Venn
• John Venn was born August 4, 1834 in
Hull, Yorkshire England
• He died April 4, 1923 in Cambridge, England
• John Venn was a British mathematician
and philosopher.
• He was ordained a priest 1859 .
• The stained glass in Caius Hall at
Cambridge University commemorating John
Venn
5

6. Band Chorus
10 4 7
Anticipatory Set
1.) How many students total are enrolled in Band?
2.) How many students total are enrolled in Chorus?
3.) How many students are enrolled in a music class?
4.) Explain, in a complete sentence, how you determined your
answers for Questions 1 and 2.
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7. 1.) Fill in the following Venn Diagram based on the table below. How
many students only take Spanish and how many students only take
French?
Language Students
French 70
Spanish 57
Both 11
7

8. 2.) Fill in the following Venn Diagram based on the table below. How
many students participate in only Field Hockey and how many
students participate only in Softball?
Sport Students
Field Hockey
34
Softball 42
Both 19
8

9. 3.) School coaches plan to send notices to all students playing fall
or winter sports. What is the smallest amount of notices they need
to send to make sure every student received one?
Season Students
Fall 155
Winter 79
Both 28
9

10. Extra Practice
NYS Assessment from 2006
NYS Assessment from 2008
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13. BEFORE YOU LEAVE: Trade a Problem
Create your own example based on today‛s activity.
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14. Mr. Tjersland's Math 7
Homework: Project due tomorrow
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15. AIM: Venn Diagrams
1.) Fill in the following Venn Diagram based on the table below. How
many students only take Spanish and how many students only take
French?
Language Students
French 70
Spanish 57
Both 11
15

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17. Attachments
Cumulative Review Sheet 6.doc