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Reasoning and Proofs

Geometry

1

This unit introduces students to mathematical reasoning. Students learn how to write conditional statements, use inductive and deductive reasoning to solve problems, and write algebraic two-column proofs. Students learn that mathematical statements can be justified and are introduced to the idea that they must explain their reasoning.

Unit:

Essential Question

How can I explain and prove that my mathematical thinking makes sense?

Key Vocabulary

  • Inductive Reasoning

  • Deductive Reasoning

  • Conditional

  • Converse

  • Inverse

  • Contrapositive

  • Biconditional

  • Law of Detatchment

  • Law of Syllogism

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