Unit 3: Logic ( G.a,b )

1. Obj: SWBAT identify Logic statements: Conditional, Converse, Inverse & Contrapositive (2.2/2.3) **hw/hw log/storybook: “Logic” Warm-up: nine weeks review questions: 1-11, 18-24, 26-34 Unit 3: Logic (G.a,b) Homework: (day 17) p. 92 (1-3, 7, 9, 11, 20-26, 41) p. 101 (9, 11, 35, 37) Check Answers (odd in text, Even On Powerpoint Slide Pearson Success due Friday

2. Copy this into your SOL binder

3. We are now Beginning Unit 3: Logic • Please organize your notebook so it is in consecutive order! • Unit 1: lessons 1-10 • Unit 2: lessons 11-16 • Unit 3: lessons 17- _____

4. Write your own Conclusion & on back : Negate the conclusion • If Then Write your own Hypothesis & on back: Negate the hypothesis

8. Compound Statement A compound statement is two or more statements that are joined together. Example: p: Richmond is a city in Virginia. q: Richmond is the capital of Virginia. p and q: Richmond is a city in Virginia and Richmond is the capital of Virginia.

9. Conjecture is an educated guess that can be either true or false. A Statement is a sentence that is either true or false but not both. Often represented by a letter such as p, q or r. The Truth value is the truth or falsity of a statement.

10. A conjunction- a compound statement using the word “AND” symbolically: read ”p and q” ***A conjunction is true IFF both statements are true.* A disjunction - a compound statement using the word “or”. Symbolically: “read” p or q ***A disjunction is true if at least one of the statements are true.*

11. Negations The negation of a statement says it has the opposite meaning. So the negation would be ~p read “not p” ~q read “not q” Example: p: Suffolk is a city in Virginia. ~p: Suffolk is not a city in Virginia.

12. Teacher’s Notes: • If time- have students form groups of four. One person write a sentence (not in the conditional form. The group write the same sentence in the conditional form. Then clockwise the next student write the converse, inverse and contrapositive (use as a class grade).