1. Chapter 1 Inductive and deductive reasoning processes Estimation
Problem-Solving techniques

2. The Real Number System Review
Natural (counting)
Whole
Integers
Rational
Irrational

3. 1.1 Inductive Reasoning
Inductive reasoning or induction is the process of reasoning to a general conclusion through observations of specific cases.
Used to arrive at a conjecture
A conjecture is a belief based on specific observations that has not been proven or disproven.
A counterexample is used to show a conjecture is false.

4. Deductive Reasoning is used to prove a conjecture.

5. In-class examples: pgs. 6-8 #’s 22, 31, 39 & 42

6. HW: pgs. 6-8 #’s all, odd, 32, 34, 40, 41

7. 1.2 Estimation

8. Estimation is the process of arriving at an approximate answer to a question.
Symbol means approximately equal to
Used to determine reasonable, not exact answers

9. In-class examples: pgs. 14-18 #’s 5, 13, 21, 30, 33, 47

10. HW: pgs #’s 1-25, 34, 48

11. 1.3 Problem Solving

12. Guidelines for Problem Solving:
Understand the problem.
Devise a plan to solve the problem.
Carry out the plan.
Check the results.

13. In-class examples: pgs. 29-33 #’s 2, 4,13, 16, 25, 30, 32, 33

14. HW: pgs #’s 1, 3, 5, 6, 7, 10, 11, 12, 18, 20, 21, 22, 31, 34, 42

15. Chapter 1 Review