Venn diagram
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Transcript of Venn diagram
June 28, 2011Objectives:• Recognize and develop a Venn Diagram.• Relate a Venn Diagram to real world examples.• Summarize the history of the Venn Diagram.
Homework: Provided WorksheetStudy the next section
What we will do today…1. Warm Up Activity2. Notes3. Practice4. Review5. Work on Classwork/Homework
Warm Up Activity
What does the following diagram mean?
ACH
Ms. Taylor
Part of a Venn Diagram
Intersection-what each circle have in common
Neither A or B
Neither A or B
Neither A or B
AB
Neither A or B
What is a Venn Diagram
• A diagram that consists of circles.
• The circles represent the elements of the set and the outer parts represent elements that are not part of the set.
• A Venn Diagram is used to organize a list of data.
History of Venn Diagram
Venn diagrams were introduced around 1880 by John Venn. They are used to teach elementary set theory. (*Set theory is the branch of mathematics that studies sets, which are collections of objects)
It is also used to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science
Can the Venn Diagram be used in other classes?
As graphic organizers, they allow students to formulate their thoughts. With the two above, students might list the similarities between the republicans and democrats in C and the differences in A or B. History students might use Figure 1 to compare Athens and Sparta in ancient Greece. Or they might compare the North and South in the period leading to the American Civil War.
Explain
Creating a Venn Diagram together…
1. Write down your 6 most favorite numbers.
2. Put them in order from biggest to smallest.
3. On your Venn Diagram, label the 1st circle as numbers that have 1 included in the number and the 2nd circle as number that have 9 included. The middle circle will be numbers with BOTH 1 and 9. The outer parts of the Venn Diagram will be numbers with neither 9 or 1 included.
Explain
Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five students are in both classes, how many students
are in neither class? How many are in either class?
Create this Venn Diagram
www.polleverywhere.com
Which subject is your favorite: Math or History?
Closure1. Answer the following question: Which
subject is your favorite: Math or History?
2. Find the subject on the Venn Diagram and place your name tag in that section.
3. Remember: If you like both or neither, then you should have it in a particular section.
Which Is Your Favorite Subject?