The third quiz for Geometry will be this Friday. The focus for this quiz is writing proofs for statements about segments and angles. Make sure you bring your completed 8 1/2 x 11 sheet of paper with the definitions, postulates, and theorems you think will be useful. See the back of your book (p. 827 - p.829) for a nice list! You might want to include drawings to help you remember.
Overview
§3.4 (p.150) Proving Lines Parallel
The central question for today is “How can you prove that two lines are parallel”? A point of confusion for students is to discern between the theorems that we proved in the last class and the converses to those theorems which we will prove during this class. The importance of the hypothesis and conclusion of an conditional statement take on increased importance as we work on making this distinction.
Key Ideas
Using the converses of the parallel lines postulates and theorems to determine if two lines are parallel.
Vocabulary
No new vocabulary.
Assignment
§3.1 (p.132) #40
Proofs for Practice #4
Write Postulates, Definitions, and Theorems for use on Quiz-- one side of 8.5 x 11 paper hand written
§3.2 (p.138) #19, 26, 35, 36
§3.3 (Txt. p.146) #14, 17, 18, 19, 21, 22, 27
§3.4 (Txt. p.153) #14, 15, 28
Overview
Today we extend our work interpreting graphs that represent situations involving distance and time. In particular we work on Lesson 3: Comparing and Describing Motion from “A Visual Approach to Functions”.
Vocabulary
Axis (pl: Axes)
Origin
Intersect
Key Ideas
Writing descriptions of a situation represented by a graph
Using graphs to infer speed, direction of travel
Developing a deeper understanding of what can not be inferred from a distance and time graph (like the actual location of each person).
Assignment
Txt. p.127 #5, 6
Txt. p.118 Written Exercises #3k-1| k = 6 to 10;
Txt. p.28 #10