Tuesday, December 09, 2008
Geometry (Class 35)
Lesson Title
Investigating Parallel Lines (1)
Overview
The warm-up for today consists of scoring two proofs modeled on student work from the test last class. The lesson for the day invites students to solve a curious parallel line problem and then to invent and solve one of their own. Finally students will trade the problems they create with others and solve them.
Textbook Sections
§3.3 (Txt. p.143) Parallel Lines and Transversals
Vocabulary
implication
deduction
syllogism
two-column proof
statement
reason
auxiliary line
Key Attitudes
Math is about being convinced a statement is always true.
Key Ideas
Proofs can be thought of as a game where the game pieces are definitions, postulates, and theorems and the objective is to build a logical chain of conditional statements (a syllogism) using these pieces to connect the “given” to the “prove”.
Key Skills
I can use properties of parallel lines to solve problems.
I can create auxiliary lines to help solve problems.
I can create a parallel line problem which requires the addition of auxiliary lines to solve.
Turn-In (#34)
Txt. p.168 #11-22, 24, 25, 27-29
Handouts
Chapter 3- Lesson 1: Parallel Lines Puzzles
Assignment
Txt. p.168 #26, 30-34, 36-38, 42, 43
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
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