3. Student Learning Map

• Topic:Reasoning and Proof
• Subject(s):Math
• Days:15
Key Learning: The use of reasoning is important to make conclusions in all areas of mathematics and other real world situations.
Unit Essential Question(s):
 What strategies can we use to justify our conclusions in geometry?
Concept: Patterns and Inductive Reasoning
Concept: Logical Statements
Concept: Deductive Reasoning
Lesson Essential Question(s):

Why is pattern recognition important in the inductive reasoning process?

(ET)

How can a conjecture be used to help solve a problem?

(ET)

How can a conjecture be used to help solve a problem?

(ET)
Lesson Essential Question(s):

What are the different types of conditional statements and how are they used to describe situations in geometry? (A)
When is a counterexample used in discussing the truth value of a statement and what forms can it take? (A)
Lesson Essential Question(s):

What similarities/differences exist between inductive and deductive reasoning? (ET)
How do you determine the type of reasoning that should be applied in specific situations? (ET)
Vocabulary:
Vocabulary:
Vocabulary:
Concept: Reasoning in Algebra
Concept: Other Logical Statements
Concept:
Lesson Essential Question(s):

When is a counterexample used in discussing the true value of a statement and what forms can it take? (A)
What are the properties of equality and of congruency? (A)
How do you identify the property necessary to justify a statement? (ET)
Lesson Essential Question(s):

What is learned from the investigation of inverses, contrapositives, and indirect reasoning?

(ET)
Lesson Essential Question(s):
Vocabulary:
Vocabulary:
Vocabulary:

Prentice Hall Geometry Ch.2 (2.1-2.4), 1.1, 5.4

Text Ancillary Materials

Scientific Calculator, Protractor, Graph Paper

FCAT Explorer

Mission FCAT

Polk County FCAT Item Test Bank

www.PHSchool.com

Kaplan Lesson Plans

Resources:

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

• inductive reasoning -
• inverse -
• Reflexive Property -
• deductive reasoning -
• conditional -
• hypothesis -
• contrapositive -
• conjecture -
• Symmetric Property -
• Law of Detachment -
• Transitive Property -
• counterexample -
• Law of Syllogism -
• conclusion -
• indirect reasoning -
• truth value -
• converse -
• biconditional -