Wednesday, March 25, 2009
Geometry (Class 64)
Handouts
Proving Triangles Similar using SAS
Assignment
Txt. p.483 #39-45-47
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.
Announcements
Test Friday-- proving triangles similar, using similar triangles, perfect square trinomials.
Lesson Title
Similar Triangles (6)
Overview
The opener today focuses on simplifying radicals and solving perfect square trinomials. The lesson works focuses on proving triangles similar using the Side-Angle-Side similarity postulate.
Textbook Sections
§8.5 (Txt. p.488) Proving Triangles are Similar
Vocabulary
construction
straight edge
arc
radius
center
diameter
adjacent
opposite
included
non-included
SSS
ASA
SAS
AAS
HL
Key Attitudes
Math is about building up understanding one idea at a time.
Key Ideas
Triangles can be constructed out of various combinations of angles and sides.
Only some combinations of angles and sides guarantee that all triangle created with this combination will be congruent-- the same size and the same shape. Other combinations only guarantee triangles which are the same shape, and some combinations guarantee nothing at all!
Triangles which are the same shape always have some key attributes.
Squaring binomials creates a pattern which can be used to solve certain types of quadratic equations.
Key Skills
I can recognize a perfect square trinomial.
I can factor a perfect square trinomial by inspection quickly.
I can solve a perfect square trinomial equation by factoring.
I can simplify square roots.
I can match angles and sides of similar triangles.
I can write similarity statements for two similar triangles.
I can write a proportionality statement for two similar triangles.
I can translate between similarity statements and proportionality statements as related to similar triangles.
I can determine which of the triangle similarity postulates (SSS, AA, SAS) can be used to show that two triangles are similar
I can prove two triangles are similar by using SSS, AA, or SAS.
Turn-In (#63)
Txt. p.483 #21-29, 33-38
Handouts
Proving Triangles Similar using SAS
Assignment
Txt. p.483 #39-47
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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