Algebra / Geometry II: Unit 8- Right Triangles
SUCCESS CRITERIA:
- Find a side or angle of a right triangle using trigonometry.
INSTRUCTOR: Craig ShermanHidden Lake High School
Westminster Public Schools
EMPOWER TARGETSCALE THEME
MA.10.G.08.04Trigonometric Ratios
PROFICIENCY SCALE:
SCOREREQUIREMENTS
4.0 In addition to exhibiting Score 3.0 performance, in-depth inferences and applications that go BEYOND what was taught in class.
Score 4.0 does not equate to more work but rather a higher level of performance.
3.5 In addition to Score 3.0 performance, in-depth inferences and applications with partial success.
3.0The learner exhibits no major errors or omissions regarding any of the information and processes (simple or complex) that were explicitly taught.
o Find a side or angle of a right triangle using trigonometry
2.0 Can do one or more of the following skills / concepts:
There are no major errors or omissions regarding the simpler details and processes as the learner…
o Find a side or angle of a right triangle using trigonometry, OR
1.0 Know and use the vocabulary
- Identify the Basic Elements
- With help, a partial understanding of some of the simpler details and process
Trigonometric Ratios
WORD or CONCEPT / DEFINITION or NOTES / EXAMPLE or GRAPHIC REPRESENTATIONtrigonometry
reference angle
side opposite
side adjacent
sine
cosine
tangent
INSTRUCTION 1: KHAN ACADEMY INTRODUCTION
INSTRUCTION 2: KHAN BASIC TRIG
Class work
Refer to the triangle below to answer questions 65-66.
1. side opposite to W is ______side adjacent to W is ______
side opposite toB is ______side adjacent to B is ______hypotenuse is ______.
2. sinW = ______cosW = ______tanW = ______.
sinB = ______cosB = ______tanB = ______.
Evaluate. Round the nearest ten-thousandth.
Integrated II – Rt. Triangle Trig ~1~NJCTL.org
3. sin90o
4. cos52o
5. tan25o
6. tan88o
Integrated II – Rt. Triangle Trig ~1~NJCTL.org
Integrated II – Rt. Triangle Trig ~1~NJCTL.org
7. If the sin30 = .5, the cos60= ______. Why?
8. If the cos25= .9063, the sin65=______. Why?
Homework
Refer to the triangle below to answer questions 75-76.
9. side opposite to W is ______side adjacent to W is ______
side opposite to B is ______side adjacent to B is ______hypotenuse is ______.
10. sinW = ______cosW = ______tanW = ______.
sinB = ______cosB = ______tanB = ______.
Evaluate. Round the nearest ten-thousandth.
Integrated II – Rt. Triangle Trig ~1~NJCTL.org
11. sin45o
12. tan 77o
13. cos69o
14. tan33o
Integrated II – Rt. Triangle Trig ~1~NJCTL.org
14. If the sin60 = .8660, the cos30= ______. Why?
16. If the cos65= .4226, the sin25=______. Why?
Right Triangles & Trigonometry Unit Review
Multiple Choice
- Choose the correct answer for each question. No partial credit will be given.
1. Find the value of x. Write the answer in simplest radical form.
a. b. 7.5c. d.
2. In the triangle below, what is the side opposite to J.
a. JRb. LJc. JLd. LR
3. What is tan K?
a. 2b. c. d.
4. Find the mV. Round the answer to the nearest hundredth.
a. 33.69ob. 56.31oc. 41.81od. 48.19o
5. Find the length of . Round the answer to the nearest hundredth.
a. 8.31b. 6.64c. 6.26d. 3.99
6. .In the figure, sin 47 = 15/x, which of the following equations is also true?
a. sin 43 = x/15b. cos 43 = 15/xc. cos 47 = 15/x d. tan 47 = x/15
7. Find the mD. Round the answer to the nearest hundredth.
a. 50.71ob. 39.29oc. 35.10od. 54.90o
8. In the figure, sin 47 = 15/x, which of the following equations is also true?
a. sin 43 = x/15b. cos 43 = 15/xc. cos 47 = 15/xd. tan 47 = x/15
Integrated II – Rt. Triangle Trig ~1~NJCTL.org