Monday, February 26, 2007
Geometry (Class 52)
Announcements
Quiz Friday-- focuses on Chapter 8 Opener, Chapter 8 Lesson 1, Proof by Contradiction
Overview
In today’s class we practice applying what we have learned about similar triangles and the proportions related to their corresponding sides. If the weather permits, we will apply these ideas to the indirect measurement of at least one object on campus that cannot easily be measured directly. Otherwise we will this work off until a future date and continue with our study of similarity while staying indoors.
Textbook Sections
§8.1 (Txt. p.457) Ratio and Proportion
§8.2 (Txt. p.465) Problem Solving in Geometry with Proportions
§8.4 (Txt. p.480) Similar Triangles
Key Attitudes
Mathematics is about justification.
Key Ideas
When triangles are similar, proportions that relate the lengths of their corresponding sides can be written and used to calculate missing lengths.
Two methods for determining if triangles are similar: 1) two angles are congruent, 2) corresponding sides are proportional
Key Skills
Using a scale factor to enlarge or reduce a triangle
Writing proportions when given two similar triangles
Calculating a scale factor when given two similar triangles
Measurement
Working with equivalent fractions
Handouts
Chapter 8- Lesson 2: Using Similarity
Chapter 8- Lesson 3: Putting Similarity to Work
8.2 Challenge: Skills and Applications
Assignment
Lesson 8.2- Challenge: Skills and Applications
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