Deductive Reasoning: Forming Conclusions Based on Facts

1. Tue, Aug 28 Warm up:

2. In class practiceAdd this to you notes (notebook)

3. Deductive reasoning- Forming conclusions based on facts. • Consider these statements: • 1. Plainfield has 4 high schools • 2. Every Plainfield High School has a type of cat for a mascot • 3. Plainfield North is one of the high schools in Plainfield • Based on these statements, what is a conclusion we could make based on deductive reasoning?

4. Deductive reasoning- Forming conclusions based on facts.

5. Deductive reasoning Examples • Consider these 3 statements: • All metal objects are sharp. • All scissors are made of metal. • Michael has a pair of scissors. • Which statement below is NOT true based on deductive reasoning… • A- Michael has a metal object • B- Michael has a sharp object • C- All scissors are sharp objects. • D- All sharp objects are metal

6. Another example • Consider these statements: • 1- All parallelograms have 4 sides • 2- All rectangles are parallelograms • 3- Basketball courts are in the shape of a rectangle • Which of the following statements is NOT necessarily true using deductive reasoning: • A- All rectangle have 4 sides • B- All basketball courts are parallelograms • C- All parallelograms are basketball courts

7. Intro to writing 2-column proofs

8. 2-column proofs practice

9. Homework: Pg 28 #8-9