3. Student Learning Map

  • Topic:Reasoning and Proof
  • Subject(s):Math
  • Days:15
  • Grade(s):9, 10, 11, 12
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)
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):
Additional Information:

Ask an experienced coworker for additional reference texts and/or other materials.

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:

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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 -