Chapter 1 Inductive and deductive reasoning processes Estimation

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

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

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.

• Deductive Reasoning is used to prove a conjecture.

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

HW: pgs. 6 -8 #’s 11 -14 all, 19 -27 odd, 32, 34, 40, 41

1. 2 Estimation

• 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

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

• HW: pgs. 14 -18 #’s 1 -25, 34, 48

1. 3 Problem Solving

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

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

• HW: pgs. 29 -34 #’s 1, 3, 5, 6, 7, 10, 11, 12, 18, 20, 21, 22, 31, 34, 42

Chapter 1 Review