Thursday, November 20, 2008
Geometry (Class 30)
Announcements
Test Monday! Logic Puzzles and Proofs
Lesson Title
The Game of Proof (3)
Overview
The warm-up today continues looking at relationships between distance and time as represented on a graph. In addition students will work a few more logic puzzles as review for the test on Monday. The lesson for the day continues building student’s ability to write two column proofs.
Textbook Sections
§3.3 (Txt. p.143) Parallel Lines and Transversals
Vocabulary
implication
deduction
syllogism
two-column proof
statement
reason
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 build a syllogism (an If…, then… chain of reasons).
I can label a diagram with the information given in a proof.
I can use my knowledge of angle relationships to figure out a plan for proving a statement.
I can organize the angle relationships to build a logical chain of reasoning going from what is given to what is to be proved.
I can use the definitions, postulates, and theorems the class has developed to justify steps I take to solve a missing angle puzzle.
I can write a two column proof to represent the process of solving a missing angle puzzle.
Turn-In (#29)
Txt. p.146 #8, 9, 11, 12, 17-19, 21, 22, 27
Handouts
No Handouts Posted
Assignment
Txt. p.146 #10, 13, 15, 16, 20, 23, 25, 26
Txt. p.149 Quiz 1 #1-8
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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