Trigonometry Chapter 1: The Building Blocks of Trigonometry
Sections 1.1-1.4
Essential Questions
1. What is a radian?
2. What is the difference between a positive and negative angle?
3. How can you find sin, cos, tan, cot, csc, and sec using the unit circle?
4. How do you find a missing part (angle or side) of a right triangle using trigonometry?
5. What is a reference angle and how do I use it?
Key Vocabulary
Angle
vertex
initial side
negative angle positive angle coterminal
obtuse
complementary supplementary
terminal side
radian
arc length
standard position
acute
linear speed
Khan Academy Sections
Triangle angles 1, Radians to degrees, Degrees to radians, Radians and degrees, Unit circle,
Trigonometry 0.5, Special right triangles
Day
1
Activity
Syllabus/Rules
Suggested Problems
None
2
1.1 Angle & Degree Measurement
P. 127 1-23 Odds
3
1.1 Angle & Degree Measurement
P. 128 29-89 Odds
4
1.2 Unit Circle
P. 136 1-11 Odds
5
1.2 Unit Circle
P. 136 29-59 odds
6
Quiz 1.1/1.2
7
1.3 The 6 Trig Functions
P.145 1-15 Odd
8
1.3 The 6 Trig Functions
P 145
21-75 Mult. Of 3
9
1.4 Trig Functions of Any Angle
P 155
1-95 Odds
10
1.4 Trig Functions of Any Angle
P 155
1-95 Odds
11
1.4 Trig Functions of Any Angle/Review
P 155 1-95 Odds
12
Quiz 1.3-1.4
13
Review
P 202
14
Test Sections 1.1 -1.4
TEST
1-81 Odds
Journal Questions
1) In your own words, explain and give an example of:
a) an angle in standard position
b) a negative angle
c) coterminal angles
d) an obtuse angle
2) True or False: A measurement of 4 radians corresponds to two complete revolutions from the
initial to the terminal side of an angle. Explain!
3) Identify 4 trig functions/identities equivalent in value to sin 60°.
4) What does it mean if sin θ = .5? (In terms of triangles).
5) Why use a reference angle?
6) P129 #96
7) P130 #109
ACT Questions
8) What is the area of the trapezoid in figure A?
a) 8
b) 3
c) 3√2
d) √6
e) 6
9) In the triangle in figure B, what is the value of cos b?
a) √13
b)
√13
2
c)
√13
3
d)
2√13
13
e)
3√13
Figure A.
2
2
13
45ᵒ
Essential Question
10) How do you find a missing part (angle/side) of a right triangle using
trigonometry?
4
bᵒ
Figure B
2
aᵒ
3