Mathematics 521A
Outline for Chapter 1: Inductive and Deductive Reasoning
Suggested time: about 10 classes
Section(s) and Title
Introduction / Warm-Up
Examples from Textbook
Ex. 2 and 3, Pages 8-9
1.4
Conjectures and Inductive
Reasoning
Inductive Reasoning:
Counterexamples
Deductive Reasoning
1.5
Invalid Proofs (short)
1.6-7
Reasoning to Solve
Problems and Games
1.0
1.1
1.2-3
Ex. 3, Page 21
Problems Assigned*
Sheet of basic operations
Sheets of math puzzles
Pages 12-15 #1, 2, 3, 5, 7, 9,
11, 15, 16 and 18
Pages 22-25 #1-5, 8, 10, 12,
17
Pages 31-33 #1, 2, 5-8, 17
Ex. 1-4, Pages 27-29
(omit Example 5)
Ex. 1-4, Pages 37-40
Pages 42-44 #1, 2, 3, 5-7
(did a couple as examples)
Some will be done as questions that students can
complete on assignments and/or do as “Friday
challenges”; some we can try include ...
Investigate, Page 45
Pages 48-51 #2, 3, 5, 6, 9,
10, 14, 15
Ex. 1, Page 53
Pages 55-57 #2, 4, 5, 7, 10,
13
Review Questions for Test: Pages 35-36 #2, 3a, 4, 5, 8, 9; Pages 61-62 #4, 5, 7, 8, 9, 10a, 12-15
One test at the end of this chapter; perhaps one or two simple questions from the last sections.