Friday, April 11, 2008
Geometry (Class 69)
Announcements
Test today focusing on right triangle trigonometry. Take a look at your Chapter 9 Preview for specifics.
Lesson Title
Applications of Trigonometry
Overview
We take a break from working with solids during the warm-up today and instead do one of the “Partner Challenges” from the last class. The lesson focuses on using right triangle trigonometry to solve some applied problems. During the last part of the class students take Test 11
Textbook Sections
§9.6 (p. 567) Solving Right Triangles
Vocabulary
special right triangle
isosceles right triangle
45-45-90 triangle
30-60-90 triangle
right triangle trigonometry
trigonometric ratios
trigonometric ratios
sine ratio
cosine ratio
tangent ratio
secant ratio
cosecant ratio
cotangent ratio
inverse trigonometric functions
angle of depression
angle of elevation
Key Attitudes
Math is about thinking creatively.
Key Ideas
All right triangle with an acute angle of measure x˚ are similar.
The ratios of the sides of all right triangles with an acute angle of measure x˚ are equal.
The measure of the reference angle determines the ratios of the sides of a right triangle.
If you know the ratios of two sides of a right triangle, you can use trigonometric ratios to figure out the measure of the angles of the triangle.
Key Skills
I can quickly and accurately recall the sides used to make the sine, cosine, or tangent ratio.
I can use my calculator instead of a table of trigonometric ratio values to solve right triangle trigonometry problems.
I can keep the answers to a problem as precise as possible when using a calculator and round my answer to reflect the correct number of significant figures.
I can use a diagram to organize the information I am given and what I am trying to find.
I can recognize right triangles in an applied situation and determine if the problem can be solved with the Pythagorean Theorem, Right Triangle Trigonometry, or both.
I can set-up and solve trigonometric equations representing an applied problem.
Turn-In (#68)
Partner Challenge with someone.
Lesson 9.6 Practice B- All
Review the Chapter 9- Preview
Handouts
No Handouts Posted
Assignment
§9.5 (Txt. p.563) #37-42
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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