Tuesday, November 18, 2008
Geometry (Class 29)
Lesson Title
The Game of Proof (1)
Overview
The warm-up for the day continues examining the qualitative relationships represented by a graph relating distance and time. The lesson for the day continues with “The Game of Proof” and the development of students abilities to create 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 use symbols to represent a conditional statement (an “If…, then…” statement).
I can identify the hypothesis and conclusion of a conditional statement
I can build a syllogism (an If…, then… chain of reasons).
I can state the conclusion of a syllogism.
I can create the contrapositive of an implication.
I can create the inverse of an conditional statement.
I can write conditional statements.
Turn-In (#28)
Poster- Logic Puzzle or Missing Angle Puzzle
Handouts
No Handouts Posted
Assignment
Txt. p.146 #8, 9, 11, 12, 17-19, 21, 22, 27
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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