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Chapter 1, Unit C Sets and Venn Diagrams.

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1 Chapter 1, Unit C Sets and Venn Diagrams

2 Essential Question How do we organize relationships between categories?

3 Definitions Set: collection of objects, living, or nonliving.
Example: Set of math teachers at PCHS Members: specific objects within the set Example: Shinjo, Kaji, Miwa, RC, Kono, Murata, Yee, Takai, Adaniya, Sumstine, Nakamoto, Nguyen Set Notation: { } that lists the members separated by commas {Shinjo, Kaji, Miwa, RC, Kono, Murata, Yee, Takai, Adaniya, Sumstine, Nakamoto, Nguyen} Ellipses: “…” list continues as expected Ex: {Shinjo, Kaji, Miwa…Nakamoto, Nguyen}

4 Venn Diagram: SUBSET A is a subset of B (All A are B)
All members of A are also members of B Example 1: All dogs are animals Example 2: All bananas are fruit

5 Venn Diagram: DISJOINT
A is disjoint from B (No A are B) A has no members in common with B Example 1: Set of boys and girls Example 2: Set of fruits and vegetables

6 Venn Diagram: OVERLAPPING
A and B are overlapping (Some A are B) A and B share some of the same members Example 1: band students and athletes Example 2: Seniors and Algebra 2

7 Venn Diagram: Overlapping
A and B are overlapping (Some A are not B) A and B share some members Example 1: Some teachers are not men Example 2: Some dogs are not housedogs

8 Venn Diagrams: PRACTICE
Practice #1: All whales are mammals Practice #2: No fish are mammals Practice #3: Some women are doctors Practice #4: Some teachers are not men Practice #5: Women, Dentist, and Teachers Practice #6: All politicians are married Practice #7: If you’re from Hawaii, then you are tan

9 Reading a Venn Diagram:

10 How to fill out Two-Way Tables:

11

12 Create your own poster


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