### News and Helpful Tools

Instructor: Peter Roed

Phone - (989) 773-9473

Email: Proed@Shepherdschools.net - Preferred

Office location: Odyssey MS/HS

Office Hours: After school Monday through Thursday by appointment.

Questions: Please post questions about the course in the Q&A room under the helpful tools section. If it is a personal matter, please email me. I will typically respond within one business day of receiving your message. (Business days are Monday thru Friday, not including holidays)

### Chapter 2 - Reasoning and Proof

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.