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What strategies can we use to justify our conclusions in geometry?
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Student Learning Map
- Topic:Reasoning and Proof
- Subject(s):Math
- Days:10
- 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):
Concept: Patterns and Inductive Reasoning Lesson Essential Question(s):Why is pattern recognition important in the inductive reasoning process?
How can a conjecture be used to help solve a problem?
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):How do you identify the different types of angle pairs? (A)What similarities/difference exist between inductive and deductive reasoning? (ET)What are the similarities/differences between postulates and theorems? (ET)How do you determine the type of reasoning that should be applied in specific situations? (ET)What is learned from the investigation of inverses, contrapositives, and indirect reasoning?
Vocabulary:compound statements, conjunction, disjunction, negation, valid argument, logically equivalent, tautology
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Classes using the McDougal-Littell book may use www.classzone.com as a resource. Prentice Hall Geometry Ch.1.1, 2.1-2.4, 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:
