The document discusses Venn diagrams, including: 1) A Venn diagram is a diagram used to represent sets and the relationships between them, with circles representing each set and the overlapping areas representing elements in common between sets. 2) Venn diagrams were introduced in 1880 by John Venn and are used in teaching set theory as well as in other subjects like probability, logic, linguistics, and computer science. 3) The document provides an example of how a Venn diagram could be used to compare characteristics of Republicans and Democrats or of Athens and Sparta.

1. June 28, 2011 Objectives: Recognize and develop a Venn Diagram. Relate a Venn Diagram to real world examples. Summarize the history of the Venn Diagram. Homework: Provided Worksheet Study the next section What we will do today… Warm Up Activity Notes Practice Review Work on Classwork/Homework

2. Warm Up Activity What does the following diagram mean? A CH

3. Ms. Taylor

4. Part of a Venn Diagram Intersection-what each circle have in common Neither A or B Neither A or B Neither A or B A B Neither A or B

5. 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.

6. 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

7. 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.

8. Explain

9. Creating a Venn Diagram together… Write down your 6 most favorite numbers. Put them in order from biggest to smallest. On your Venn Diagram, label the 1 st circle as numbers that have 1 included in the number and the 2 nd 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.

10. Explain

11. 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 Can you figure this out? BONUS BONUS

12. www.polleverywhere.com Which subject is your favorite: Math or History?

13. Closure Answer the following question: Which subject is your favorite: Math or History? Find the subject on the Venn Diagram and place your name tag in that section. Remember: If you like both or neither, then you should have it in a particular section.

14. Which Is Your Favorite Subject?