Monday, December 15, 2008
Geometry (Class 37)
Announcements
Test Wed. 12/17 focusing on proving lines parallel.
Lesson Title
Proving Lines Parallel
Overview
The warm-up for the day is another problem involving parallel lines and a bent transversal. These problems require the addition of an auxiliary line-- placement of which is often the hardest part of the problem. The lesson for the day continues with proving lines parallel. Students will work more complicated proofs, thereby building understanding and fluency. We do have a test Wed. focusing on proving lines parallel.
Textbook Sections
§3.4 (Txt. p.150) Proving Lines Parallel
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
A converse of an If, then statement can be created by switching the position of the hypothesis (if) and conclusion (then).
Not all converses are true.
If an if, then statement and its converse are true, then the statement is a biconditional.
Key Skills
I can create and solve a problem involving parallel lines and a “bent” transversal.
I can prove lines parallel.
Turn-In (#36)
Txt. p.153 #10-18, 20-26
Handouts
More Proving Liens Parallel
Assignment
Txt. p.154 #27, 28, 34, 35
Txt. p. 160 #11, 12, 15, 16, 18, 19, 21, 22
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.
Permalink