1. The Trigonometric Ratios
DO NOW 1/5:
Label the opposite, adjacent and hypotenuse for reference angle A.
The Trigonometric Ratios θ
Agenda
Do Now
Quiz Review
Lesson 26 #1-4
Trigonometric Ratios
Fisher Building Problem
Debrief

2. Quiz Review

3. Lesson 26: Classwork #1-3

4. Sine, Cosine and Tangent
SOH CAH TOA
sinθ=
cosθ=
Tanθ=
**MUST BE IN NOTES!**

5. Lesson 26: #4-6 (In Groups)
Each group spend ____ minutes working on answering and completing the table for #4, 5 and 6.
Once your group is finished, record you answers on your sheet and have one representative record it on the board.
Begin Independently working on #7-9

6. Lesson 26 #4

7. Lesson 26: #5

8. Lesson 26: #6

9. Debrief
Discuss in shoulder partners, then at your table, then whole group:
What were the patterns you noticed in solving #8?
How did you use sin, cos and tan to solve #7?

10. Write the sin, cos and tan for the reference angle shown below.
DO NOW 1/6:
Write the sin, cos and tan for the reference angle shown below.
Common Trig Ratios
Agenda
Problem Set Review
Trig Unit Quadrant Construction
Ratios of 0, 30, 45, 60, 90
Special Right Triangles with Trig
Debrief 10 5 θ
5√3

11. Construct a Trig Unit Quadrant
On a blank scrap sheet, use the compass to draw a quarter circle using a corner of the sheet as your center point.
Put a protractor centered on the corner an mark off 30, 45, 60 degrees (the edges of the sheet will be 0 and 90)
Use a ruler to create a table of the sine, cosine and tangent of each triangle. Look for patterns!

12. Table of Common Ratios θ 0° 30° 45° 60° 90° sinθ cosθ tanθ
**MUST BE IN NOTES!**

13. Debrief/Exit Ticket
Solve for the variables using your trig table

14. Using Calculators with Sine and Cosine
DO NOW 1/7:
Find the lengths of the missing sides of the right triangles.
Using Calculators with Sine and Cosine
Agenda
Problem Set Review
Using sin, cos, tan on calculators
Trig Practice (word problems)
Fisher Building (Debrief)

15. Using calculator for sin, cos, tan
What patterns do you notice between sin and cos?
Give an explanation for the patterns you see.

16. Example 1

17. Word Problem Example

18. Debrief
How could we set up a problem that would tell us the height of the Fisher Building?

19. Trig Word Problem DO NOW 1/9:
A 25 ft ladder is leaning up against a building at a 75 degree angle.
How far is the base of the ladder from the building?
Trig Word Problem
Agenda
Exit Ticket Review
Word Problem practice (elevation and depression)
Construct sextant
Debrief

20. Trig Word Problems

21. Trig Word Problems

22. Trig Word Problems
“angle of elevation”
“angle of depression”

23. Trigonometry and Sextants
Sextants were historically used during nautical exploration to determine distance and location by using the location of the sun and stars.

24. Debrief
How could we set up a problem that would tell us the height of the Fisher Building?