start up day 20. questions? objective: swbat use right triangle trigonometry to determine exact...

19
Start Up Day 20

Upload: dennis-porter

Post on 14-Jan-2016

222 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Start Up Day 20

Page 2: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Questions?

Page 3: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT solve right triangle problems by using Trigonometry.

ESSENTIAL QUESTION: How are the 6 trigonometric functions defined for the acute angle within a right triangle?

HOME LEARNING: Pg. 335 # 2,6, 10, 16, 10, 20, 21, 25, 36. 41, 45, 51, 56 & 61

Page 4: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Lesson 4.2 Trigonometric Functions of Acute Angles

“The Best Angle in Which To Approach Any Problem Is The Try-Angle”

Page 5: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Can You Correct the Scarecrow?

O http://robertkaplinsky.com/work/wizard-of-oz/

Page 6: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Right Triangle Trigonometry

Page 7: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Our Special Ones

Page 8: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

30°-60°-90°

Page 9: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

An altitude to any side of an

equilateral triangle creates two congruent30°– 60°–90° triangles

Page 10: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Take 10….What about 60°?

Page 11: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Let’s Try a Few…p. 335 # 1 & 3

Page 12: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT
Page 13: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Your Turn…p. 335 #9“When in Doubt, Sketch it Out!”

Page 14: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Calculator? MODE is Key!

CAUTION: DON’T USE the Inverse Trig Keys to Evaluate cot, sec, and csc There are no buttons on most calculators for cotangent, secant, and cosecant. They can be easily evaluated by finding tangent, cosine, and sine, and then taking the reciprocals respectively.

Do you recognize the decimal value?

Calculate the csc 30°

Page 15: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Using Trig to Solve Problems

Page 16: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT
Page 17: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Solving Right Triangles….#49 & 52

Page 18: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Let’s Try a few more…#55 & 62

Page 19: Start Up Day 20. Questions? OBJECTIVE: SWBAT use right triangle trigonometry to determine exact values for trigonometric functions of acute angles. SWBAT

Wrapping it Up!

1. Quiz for 4.1 & 4.2 will be taken on MathXL

2. Re-test for Unit 2 for a max score of 70% will also be taken on MathXL.

3. Last day of the first Quarter is Monday, October 26th.

4. All makeups and re-takes must be completed by Monday!