Friday, March 07, 2008
Geometry (Class 59)
Announcements
Test Friday. Focus will be on Chapter 8 Lesson 1- Lesson 5.
Lesson Title
Right Triangles in Right Triangles 1
Overview
In today’s class our warm-up focuses on creating a cylinder from a net, calculating the surface area of the cylinder and its volume. During the lesson we use the triangles we made at the end of the last class to explore the relationships inside of a right triangle. During the last part of the class we take Test 10 which focuses on concepts and skills related to similar figures.
Textbook Sections
§9.1 (Txt. p.527) Similar Right Triangles
Vocabulary
similar, similarity statement
ratio
proportion
scale factor
statement of proportionality
geometric mean
golden section
golden rectangle
altitude
hypotenuse
right triangle
Key Attitudes
Math is about thinking creatively.
Key Ideas
Inside any right triangle there exists other right triangle which are similar to the original.
Since the right triangles created by constructing an altitude to the hypotenuse are similar, the corresponding sides are proportional
If you are given a geometric mean, you only need two values to solve the proporion.
Key Skills
Creating similar right triangles inside a right triangle.
Solve problems involving similar right triangles formed by the altitude drawn from the hypotenuse of the right triangle
Creating and using geometric means to solve problems.
Turn-In (#58)
Txt. p.519 #1-9, 10-15, 17
Txt. p.522 #1-3, 13-15
Handouts
Chapter 12- Lesson 2- Solid 2 (Cylinder)
Assignment
Txt. p.522 #16-18, 53-58
Txt. p.801 #1-3
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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