1. Reasoning and Proof DAY 4: 2.4 Deductive Reasoning

2. given conclusion

3. The car will not start The garden will be watered

4. No conclusion. Could be flooding Its sides have equal length No conclusion. Could be vertical

5. two true conclusion hypothesis

6. If a quadrilateral is a square, then it is a rectangle. If a whole number ends in zero, then it is divisible by 5. If it is Saturday, then you wear sneakers.

7. Elias lives in the US. The Nile is the longest river in the world.

9. Deductive Reasoning Coming to conclusions from facts or given statements

10. Conditional If then statements

11. Inverse If not p, then not q (negation)

12. Law of Detachment If the hypothesis is true, reasoning that the conclusion is true

13. Law of Syllogism When conclusion of one true conditional is the hypothesis of another conditional. (Can write new conditionals)

14. Good definition Clear, precise, and REVERSIBLE

15. 2.4 PRACTICE CHILDREN’S BOOK Homework: