1. Using Venn Diagrams Principles of Math 11 Unit: Reasoning

2. What is a Venn Diagram?  Can be used to solve “AND”, and “OR” problems  Each circle represents a category  Overlap represents what these topics have in common

3. Representing “AND”, “OR” “AND”: represented by middle overlap “”OR: represented by middle overlap and every thing else

4. Analyzing Survey Data  Students were asked which of three movies they have seen.  Survey Results:  60% have seen Harry Potter  40% have seen The Ring  30% have seen Die Another Day  30% Harry Potter and The Ring  20% Harry Potter and Die Another Day  15% The Ring and Die Another Day  10% have seen all three movies

5. The Question  What % of the students have seen only one of the three movies?

6. Approach  Can sort out the data using a Venn Diagram  Each circle represents a movie Die Another Day Harry Potter The Ring

7. The Venn Diagram  The non overlapping parts of each circle represent those who have seen only that one movie Die Another Day Harry Potter The Ring

8. Reading the Venn Diagram 10 20 5 5 10 20 5 Die Another Day The Ring Harry Potter 20 + 5 + 5 = 30% Have seen only one of the three movies

9. Done by: NARINDER BASI