Reasoning & Proof: Using Logic (Geometry - Unit 2)
- Contributor:
- Teacher Mine
- Grade Level:
- 8-12
- File Type:
- Answer Key:
- Yes
Description
Have you ever asked a student how they got their answers? You probably heard a response like "I don't know. I just did it in my head." Well, as you know Geometry requires students to think logically and to explain their thinking, and that is what this unit focuses on. This unit will walk you through inductive reasoning all the way to proofs.
This is a unit bundle that contains presentation notes, student follow-along notes handouts, glossary, glossary cards, 9 practice worksheets, 2 mini-quizzes, 9 section quizzes, 1 mid-unit quiz, a study guide, and 3 unit test versions.
The notes introduce each concept along with a few examples. They are in-depth enough to cover a topic well, and, at the same time, are brief enough to allow you to add related topics/examples of your choice without being overwhelming or stifling your own creativity/flexibility.
The topics included are:
1) Conjectures and counterexamples
2) Conditionals - including identifying the hypothesis and conclusion, drawing Euler diagrams, and negations
3) Variations of conditionals - including converse, inverse, contrapositive
4) Biconditionals and good definitions
5) Truth tables - including conjunctions, disjunctions, conditionals, and biconditionals
6) Deductive reasoning - including Law of Detachment & Law of Syllogism
7) Basic proofs - including using definitions, algebraic properties of equality/congruence, Vertical Angles Theorem, Congruent Complements Theorem, and Congruent Supplements Theorem
8) Vocabulary - 26 terms along with relevant symbols
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