Inductive and Deductive Reasoning

Number and Logic General Outcome	Develop number sense and logical reasoning.
Specific Outcomes	1. Analyze and prove conjectures, using inductive and deductive reasoning, to solve problems. 2. Analyze puzzles and games that involve spatial reasoning, using problem-solving strategies.

Unit Resource Packages

Math 20-2 Inductive and Deductive Reasoning -- WNCPactivemath.com

                                                                                                                                                       

Lesson 1: Making Conjectures: Inductive Reasoning

Absolute Value Workbook:

Mathematical Reasoning: Lesson 1 -- Pages 63 - 72

Lesson Links:

Mary Celeste lesson plan with video link

Djatlov's pass lesson plan with video links

BasicMath.com -- Examples of Inductive Reasoning

IndiaBix -- Number Series - Logical Reasoning

Video Links:

Sherlocke Holmes Video introducing Reasoning

                                                                                                                                                       

Lesson 2: Exploring the Validity of Conjectures

Absolute Value Workbook:

Mathematical Reasoning: Lesson 3 -- Pages 79 - 86

Lesson Links:

Video Links:

1.2 Exploring the Validity of Conjectures

                                                                                                                                                       

Lesson 3: Using Reasoning to Find a Counterexample to a Conjecture

Absolute Value Workbook:

Mathematical Reasoning: Lesson 1 -- Pages 63 - 72

Lesson Links:

Counterexamples Link

Webspace.ship.edu -  Activity on Counterexamples using Properties of Numbers

Video Links:

1.3 Using Reasoning to Find a Counterexample to a Conjecture

                                                                                                                                                       

Lesson 4: Proving Conjectures: Deductive Reasoning

Absolute Value Workbook:

Mathematical Reasoning: Lesson 2  -- Pages 73 - 78

Lesson Links:

The Difference Between Inductive and Deductive Link (thatquiz.org)

Video Links:

1.4 Proving Conjectures Deductive Reasoning

1.4 Proving Conjectures Deductive Reasoning -- Churchill High Video #1

1.4 Proving Conjectures Deductive Reasoning -- Churchill High Video #2

                                                                                                                            

Lesson 5: Proofs That are Not Valid

Absolute Value Workbook:

Mathematical Reasoning: Lesson 3 -- Pages 79 - 96

Lesson Links:

 IndiaBix.com -- Logical Reasoning: Analyzing Arguments

Video Links:

1.5 Proofs That are Not Valid -- Churchill High Video #1

1.5 Proofs That are Not Valid -- Churchill High Video #2

                                                                                                                                                       

Lesson 6: Reasoning to Solve Problems

Absolute Value Workbook: 

Mathematical Reasoning: Throughout Lessons 1 - 3

Lesson Links:

IndiaBix.com -- Logical Reasoning: Logical Problems

Logic Puzzles -- http://www.folj.com

Video Links:

1.6 Reasoning to Solve Problems

                                                                                                                                                       

Lesson 7: Analyzing Puzzles and Games

Absolute Value Workbook:

Mathematical Reasoning: Lesson 4 -- Pages 87 - 96

Lesson Links:

 

Video Links: