Odyssey Geometry 2016-17

Chapter 2 Overview

Students will apply postulates from Chapter 1, deductive reasoning, and laws of logic to write paragraph proofs. After learning about conditionals, converses, and biconditionals, students will evaluate logical arguments using the Law of Detachment and the Law of Syllogism. They will use algebraic properties to justify each step in solving algebraic equations. Finally, students will prove several theorems about angles.

Objectives:

• You will learn how to write special types of statements known as conditionals, biconditionals, and definitions. 
• You will use such statements and deductive reasoning to conclude that other statements are true. 
• Understanding how deductive reasoning works, you will apply it to form conclusions using algebra. 
• You will also use it to study elementary proofs and form your first significant conclusions about geometric relationships.