PRECALCULUS – Mr. Brown
Assignment Sheet #1 – Chapter 5 - Unit Circle Trigonometry
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Welcome to Advanced Algebra with Precalculus
Classroom procedures and policies
A.5, 1.3, 2.1-2.5, 4.1 Algebra Review, Homework:
Classroom Philosophies’ Email
Algebra Review of Functions #1-24
A.5, 1.3, 2.1-2.5, 4.1 Algebra Review cont… Homework:
Algebra Review of Functions #25-48
Quiz Next Class on Algebra Packet Review
Section 5.1 – Angles and their Measure Homework:
Study for Algebra Packet Quiz
Quiz Algebra Review #1 next class
Section 5.1 – Angles and their Measure Homework:
Pg. 334 (23, 29, 37, 43, 48, 55, 59, 67)
Section 5.1 Angles and their Measure Homework:
Pg. 335 (3-10, 71, 73, 75, 79, 81, 87, 89, 91, 92, 95, 97)
Section 5.2 Trig Functions and Unit Circle Homework:
Pg. 352 (13, 17, 20, 24, 26, 38, 40, 46, 48)
Algebra Review #2
Quiz Unit Circle next class
5.2 Trig Functions cont… Homework:
Pg. 352-355 (1-10, 50, 54, 58, 60, 65, 66)
Worksheet Unit Circle/Trig Functions
Quiz Algebra Review #2 next class
5.3 Trig Function Properties – Homework:
Pg. 352 (69, 73, 78, 79, 85, 89, 90)
Quiz 5.1-5.2 next class
5.2 Trig Functions and 5.3 Trig Function Properties cont… Homework:
Pg. 353-355 (93, 95, 96, 97, 99, 101, 103, 105, 108, 110, 112)
Algebra Review #3
5.3 Trig Function Properties cont… Homework:
Pg. 367 (11-33 1st column only, 35-41 odd)
Quiz Algebra Review #3 next class
5.3 Trig Function Properties cont… Homework:
Pg. 367-368 (1-10, 43, 47, 51, 54, 59-64, 70-74, 78, 80, 83, 84, 85, 88, 95-115 odd)
Quiz 5.2-5.3 next class
Section 5.4 Graph of Sine and Cosine Homework:
Pg. 382 (9-18 all)
Algebra Review #4
Section 5.4 Graph of Sine and Cosine cont… Homework:
Pg. 381-385 (1-8, 19, 20, 27, 36)
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Quiz Algebra Review #4 next class
Section 5.4 Graph of Sine and Cosine cont… Homework:
Pg. 381-385 (39, 43, 47-60, 71, 72, 75, 76)
Quiz 5.4 next class
Section 5.5 Secant and Cosecant Graphs Homework:
Pg. 392 (21, 23, 24, 29, 30, 37, 40)
Algebra Review #5
Section 5.5 Tangent and Cotangent Graphs Homework:
Pg. 392 (1-20, 27, 32, 33, 39)
Worksheet 5.5
Algebra Review #5 next class
Section 5.6 Phase Shifts Homework:
Pg. 402 (15-18)
Worksheet 5.6 Phase Shifts
Test Chapter 5 next class
Chapter 5 Review Homework:
Chapter 5 Review Worksheet
Algebra Review #5
Pop Quiz Unit Circle Trig #1 next class
Chapter 5 Test Today
Continue 6.1 – Inverse Trig Functions
HW: pg. 423 (1-12, 13-43 odd, 45-56)
Topic and Essential Questions
Introduction to Trigonometry
Angles
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Define angle, including its initial and terminal
sides
Identify the direction of rotation for angles to be
positive and negative
Define standard position of an angle, direction of
rotation, quadrant in which an angle lies, and
quadrantal angles
Draw angles of varying measures
Standard(s) of Learning
Essential Knowledge and Skills
Essential Understandings
AA.5 The student will find, without
the use of a calculator, the values of
the trigonometric functions of the
special angles and their related angles
as found in the unit circle. This will
include converting angles from
radians to degrees and vice versa.
Angle Measurements
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Define radian
Use the arc length and area of a sector to solve
problems
Convert from radians to degrees and back
Use unit analysis to solve problems involving
linear speed, rotational speed and angular speed.
AA.7 The student will apply their
knowledge of length of an arc and the
area of a sector to analyze real world
situations.
AA.6 The student will apply their
knowledge of linear and angular
speed to analyze real world situations.
 Unit Circle
a. Use the concepts of the special right triangles to
create the unit circle
b. Reproduce the unit circle without aid of a calculator
c. Define the six trigonometric functions
 Find the six trigonometric functions
a. in terms of the coordinates of any point on the Unit
Circle
b. using a calculator
c. in terms of the coordinates of any point on a circle
of radius r
d. given the coordinates of any point on the terminal
side of an angle
 Write the following fundamental identities:
a. reciprocal identities
b. quotient identities
c. Pythagorean identities

Solve problems by finding values of the six
trigonometric functions
a. using even-odd properties to find the exact values
of the trigonometric functions
b. using fundamental trigonometric identities
c. given one of the functions and the quadrant of the
angle
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Determine the signs of the trigonometric
functions in each quadrant
Graphing Trigonometric Functions
 State the domain, range, and periodicity of the
trigonometric functions
 Graph the sine and cosine functions as parent functions
a. identify the properties of the sine and cosine graphs
b. use the sine and cosine graphs to develop and explain the
graphs of the remaining trigonometric functions
 Use knowledge of transformations to graph general form
of trigonometric equations in the form
y  A sin  Bx  C   D
a. describe how changes in amplitude, period, phase shifts, and
vertical shifts affect sine and cosine graphs from a practical
application standpoint
b. determine the amplitude, period, phase shift, and vertical
shift of trigonometric functions and their graphs
 Write a sine or cosine function that satisfies a given data
set allowing for amplitude, period, phase shift, and
vertical shift
AA.5 The student will find, without the
use of a calculator, the values of the
trigonometric functions of the special
angles and their related angles as found
in the unit circle. This will include
converting angles from radians to
degrees and vice versa.
AA.8 The student, given a point other
than the origin on the terminal side of an
angle, will use the definitions of the six
trigonometric functions to find the sine,
cosine, tangent, cotangent, secant, and
cosecant of the angle in standard
position.
Trigonometric
functions
defined on the unit circle will be related
to trigonometric functions defined in
right triangles.
AA.9 The student, given the value of
one trigonometric function, will find the
values of the other trigonometric
functions, using the definitions and
properties
of
the
trigonometric
functions.
AA.11 11The student will verify basic
trigonometric identities and make
substitutions, using the basic identities,
AA.12 The student will solve
trigonometric
equations
and
trigonometric inequalities.
AA.10 The student will use the
transformational approach to
graphing the six trigonometric
functions and the inverse
functions. Attention will be
paid to the restricted domains.