Download MAT 208 Precalc_Trig II (2014 CR)

MAT 208
Precalc/Trig II
(2014 CR)
Right Triangle Trigonometry
Warm-Up
Get ready for the lesson.
Instruction
How can you find unknown
side lengths and angle
measures of right
triangles?
Summary
Review and connect what
you learned.
Assignment
Practice using the
Pythagorean theorem.
Quiz Answers
Solving Right Triangles
Vocabulary
Direct Instruction
Quiz Answers
Angles in Standard Position
Warm-Up
Get ready for the lesson.
Instruction
How can we define and
analyze angles using their
characteristics?
Summary
Review and connect what
you learned.
Assignment
Identify negative angle
measure.
Quiz Answers
Radian Measure
Warm-Up
Get ready for the lesson.
Instruction
What is radian measure
and how is it related to
degree measure?
Summary
Review and connect what
you learned.
Assignment
Practice converting
radians to degrees.
Quiz Answers
The Unit Circle
Quiz Answers
Changes in Period and Phase
Shift of Sine and Cosine
Functions
Warm-Up
Get ready for the lesson.
Warm-Up
Get ready for the lesson.
Instruction
Can trigonometric
functions be extended to
any angle measure?
Instruction
How is a transformation of
the graph related to the
equation of a sine or
cosine function?
Summary
Review and connect what
you learned.
Assignment
Identify the coordinates of
points on the unit circle.
Quiz Answers
Reciprocal Trigonometric
Functions
Warm-Up
Get ready for the lesson.
Instruction
What are the reciprocal
trigonometric functions?
Summary
Review and connect what
you learned.
Assignment
Practice simplifying
trigonometric expressions.
Quiz Answers
Unit Test
Unit Test Review Answers
Unit Test Answers
Graphing Trigonometric Functions
Graphing Sine and Cosine
Summary
Review and connect what
you learned.
Assignment
Practice identifying
transformations from a
graph.
Quiz Answers
Graphing Cosecant and
Secant Functions
Warm-Up
Get ready for the lesson.
Instruction
How are the graphs of the
sine and cosine functions
related to the graphs of
their reciprocal functions?
Summary
Review and connect what
you learned.
Assignment
Practice identifying effects
of transformations.
Quiz Answers
Graphing Tangent and
Cotangent
Warm-Up
Get ready for the lesson.
Warm-Up
Get ready for the lesson.
Instruction
Why do the graphs of the
sine and cosine functions
have wave shapes, and
how can you change those
waves?
Instruction
How are the graphs of sine
and cosine related to the
graphs of tangent and
cotangent functions?
Summary
Review and connect what
you learned.
Assignment
Identify features from a
graph.
Summary
Review and connect what
you learned.
Assignment
Practice identifying effects
of transformations.
Quiz Answers
Trigonometric Inverses and
Their Graphs
Vocabulary
Direct Instruction
Running Time: 23 min 25
sec
Quiz Answers
Modeling with Periodic
Functions
Warm-Up
Get ready for the lesson.
Instruction
Evaluate inverse sine
expressions.
Assignment
Explore using a periodic
function to model a rope
swing.
Summary
Review and connect what
you learned.
Assignment
Practice identifying
situations that can be
modeled by a periodic
function.
Quiz Answers
Unit Test
Unit Test Review Answers
Unit Test Answers
Analytic Trigonometry
Evaluating the Six
Trigonometric Functions
Warm-Up
Get ready for the lesson.
Instruction
How can you use the
relationships among
trigonometric functions to
evaluate them?
Summary
Review and connect what
you learned.
Assignment
Practice evaluating
trigonometric functions
given a point on the
terminal ray.
Quiz Answers
Basic Trigonometric Identities
Vocabulary
Direct Instruction
Running Time: 19 min 43
sec
Quiz Answers
Verifying Trigonometric
Identities
Vocabulary
Direct Instruction
Running Time: 12 min 9
sec
Lab Lecture
Running Time: 3 min 21
sec
Lab Assessment
Answers View Lab
Quiz Answers
Sum and Difference Identities
Vocabulary
Direct Instruction
Running Time: 20 min 3
sec
Lab Lecture
Running Time: 4 min 24
sec
Lab Assessment
Answers View Lab
Quiz Answers
Double-Angle and Half-Angle
Identities
Vocabulary
Direct Instruction
Running Time: 22 min 51
sec
Quiz Answers
Solving Trigonometric
Equations
Warm-Up
Get ready for the lesson.
Instruction
How can you use the
concept of inverse
functions to solve an
equation that includes a
trigonometric function?
Summary
Review and connect what
you learned.
Assignment
Evaluate inverse sine
expressions.
Quiz Answers
Unit Test
Unit Test Review Answers
Unit Test Answers
Additional Topics in Trigonometry
Law of Sines
Warm-Up
Get ready for the lesson.
Instruction
How can the sine function
be used to solve triangles
that are not right triangles?
Summary
Review and connect what
you learned.
Assignment
Identify necessary
information.
Quiz Answers
Law of Cosines
Warm-Up
Get ready for the lesson.
Instruction
How can the cosine
function be used to solve
non-right triangles?
Summary
Review and connect what
you learned.
Assignment
Practice using the law of
cosines.
Quiz Answers
Law of Sines and Law of
Cosines — a Deeper Look
Warm-Up
Get ready for the lesson.
Instruction
Why do the Laws of Sines
and Cosines work and
when is it okay to use
them?
Summary
Review and connect what
you learned.
Assignment
Derive the Law of Cosines
Quiz Answers
Polar Coordinates
Vocabulary
Direct Instruction
Running Time: 20 min 17
sec
Lab Lecture
Running Time: 4 min 32
sec
Lab Assessment
Answers View Lab
Quiz Answers
Graphs of Polar Equations
Vocabulary
Direct Instruction
Running Time: 24 min 15
sec
Lab Lecture
Running Time: 3 min 34
sec
Lab Assessment
Answers View Lab
Quiz Answers
De Moivre's Theorem and nth
Roots
Vocabulary
Direct Instruction
Running Time: 15 min 24
sec
Lab Lecture
Running Time: 3 min 53
sec
Lab Assessment
Answers View Lab
Quiz Answers
Unit Test
Unit Test Review Answers
Unit Test Answers
Vectors
Geometric Vectors
Vocabulary
Direct Instruction
Running Time: 18 min 20
sec
Lab Lecture
Running Time: 3 min 45
sec
Lab Assessment
Answers View Lab
Quiz Answers
Algebraic Vectors
Vocabulary
Direct Instruction
Running Time: 22 min 10
sec
Lab Lecture
Running Time: 3 min 37
sec
Lab Assessment
Answers View Lab
Quiz Answers
Vector Multiplication Using
Matrices
Warm-Up
Get ready for the lesson.
Instruction
How Can Matrix
Multiplication Model
Rotations and Reflections
of Vectors In the Plane?
Summary
Review and connect what
you learned.
Assignment
Practice Vectors Basics
Assignment
Explore Properties of
Rotation Matrices
Quiz Answers
Dot Products of Vectors
Vocabulary
Direct Instruction
Running Time: 27 min 13
sec
Lab Lecture
Running Time: 3 min 56
sec
Lab Assessment
Answers View Lab
Quiz Answers
Vectors in Three-Dimensional
Space
Vocabulary
Direct Instruction
Running Time: 12 min 25
sec
Quiz Answers
Unit Test
Unit Test Review Answers
Unit Test Answers
Conics and Analytic Geometry
Circles and Parabolas
Vocabulary
Direct Instruction
Running Time: 28 min 18
sec
Lab Lecture
Running Time: 4 min 36
sec
Lab Assessment
Answers View Lab
Quiz Answers
Ellipses
Vocabulary
Direct Instruction
Running Time: 28 min 27
sec
Lab Lecture
Running Time: 6 min 24
sec
Lab Assessment
Answers View Lab
Quiz Answers
Hyperbolas
Vocabulary
Direct Instruction
Running Time: 26 min 20
sec
Lab Lecture
Running Time: 6 min 3 sec
Lab Assessment
Answers View Lab
Quiz Answers
Classifications and Rotations
of Conics
Vocabulary
Direct Instruction
Running Time: 27 min 10
sec
Quiz Answers
Polar Equations of Conics
Vocabulary
Direct Instruction
Running Time: 24 min 59
sec
Quiz Answers
Unit Test
Unit Test Review Answers
Unit Test Answers
Sequences and Series
Sequences
Warm-Up
Get ready for the lesson.
Instruction
What are some ways to
represent an ordered list of
numbers?
Summary
Review and connect what
you learned.
Assignment
Find the formula of a
sequence.
Quiz Answers
Arithmetic Sequences
Warm-Up
Get ready for the lesson.
Instruction
How are sequences
whose consecutive terms
differ by a constant
modeled, and what can
those models tell us?
Summary
Review and connect what
you learned.
Assignment
Identify an arithmetic
sequence.
Quiz Answers
Geometric Sequences
Warm-Up
Get ready for the lesson.
Instruction
How can a sequence with
exponential properties be
defined?
Summary
Review and connect what
you learned.
Assignment
Identify geometric
sequences.
Quiz Answers
Summation Notation
Warm-Up
Get ready for the lesson.
Instruction
What is the notation used
to write sums in a more
compact form?
Summary
Review and connect what
you learned.
Assignment
Practice using summation
notation.
Quiz Answers
Arithmetic Series
Warm-Up
Get ready for the lesson.
Instruction
Can you find the sum of
the first n terms of an
arithmetic sequence?
Summary
Review and connect what
you learned.
Assignment
Practice writing an
arithmetic series using
summation notation.
Quiz Answers
Finite Geometric Series
Warm-Up
Get ready for the lesson.
Instruction
How can you find the sum
of the first n terms of a
geometric sequence?
Summary
Review and connect what
you learned.
Assignment
Practice identifying a
geometric series.
Assignment
Use a geometric series to
solve finance problems.
Quiz Answers
Infinite Geometric Series
Warm-Up
Get ready for the lesson.
Instruction
Can an infinite geometric
series have a sum?
Summary
Review and connect what
you learned.
Assignment
Find partial sums and
infinite sums for a
geometric series.
Quiz Answers
Recursive Formulas
Warm-Up
Get ready for the lesson.
Instruction
How are recursive
formulas used to describe
a sequence?
Summary
Review and connect what
you learned.
Assignment
Convert an explicit formula
to a recursive formula.
Quiz Answers
The Binomial Theorem
Warm-Up
Get ready for the lesson.
Instruction
How can you quickly
expand a binomial raised
to a power?
Summary
Review and connect what
you learned.
Assignment
Practice expanding
binomials using Pascal’s
triangle.
Quiz Answers
Modeling with Sequences and
Series
Warm-Up
Get ready for the lesson.
Instruction
How are sequences and
series used to model and
solve problems?
Summary
Review and connect what
you learned.
Assignment
Practice determining the
type of sequence.
Assignment
Practice using sequences
in the Tower of Hanoi.
Quiz Answers
Unit Test
Unit Test Review Answers
Unit Test Answers
Cumulative Exam
Cumulative Exam Review
Answers
Cumulative Exam Answers
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