Download What are the key components of the six trigonometric functions?

Course:
LEARNING-FOCUSED TOOLBOX
Date: June 22, 2009 ET
Scott Hopkins
Topic: Trigonometric
Subject Area(s):
Key Learning:
Functions
Days: 25
Grade(s):
Studying the properties of the six trigonometric functions.
Unit Essential Question(s):
What are the key components
of the six trigonometric functions?
Concept:
Concept:
Concept:
Angles and Radian
Measure
Trigonometric Functions
Right Triangle
Trigonometry
Lesson Essential Question(s):
How do you convert between degree
and radians?How do you draw angles
in standard position?How do you find a
coterminal angle?How do you find the
length of a circular arc?How can you
use linear and angular speed to
describe motion on a circular path? (A)
Lesson Essential Question(s):
What is the unit circle? What are the
six trigonometric functions?How do
you evaluate trigonometric functions
using the unit circle?What is the
domain and range of the sine/cosine
functions? What the even and odd
trigonometric functions? What are the
fundamental trigonometric identities?
How do you evaluate trigonometric
functions with a calculator? (A)
Lesson Essential Question(s):
How do you use right triangles to
evaluate trigonometric functions?How
do you right triangle trigonometry to
solve applied problems? (A)
Vocabulary:
coterminal, radian, arc length, linear
speed, angular speed
Vocabulary:
Vocabulary:
Trigonometric functions, even and odd cofunction identities, angle of
identities, reciprocal identities,
elevation, angle of depression
quotient identities, periodic identities,
pythagorean identities
Concept:
Concept:
Trig functions of any
angle
Graphs of sine and cosine Graphs of other trig
functions
functions
Lesson Essential Question(s):
How do you evaluate a trigonometric
function at any angle?How do you find
reference angles? How do you use
reference angles to evaluate
trigonometric functions? (A)
Lesson Essential Question(s):
How do you graph the parent graph of
sine?How do you graph the parent
graph of cosine?What are the five key
points of the sine/cosine functions?
How do you graph transformations of
the sine/cosine functions? (A)
Lesson Essential Question(s):
How do you graph the parent graph of
tangent?How do you graph the parent
graph of cotangent?How do you graph
the parent graph of cosecant?How do
you graph the parent graph of secant?
How do you graph transformations of
the four trigonometric functions? (A)
Vocabulary:
reference angle
Vocabulary:
amplitude, period
Vocabulary:
Concept:
Page 1 of 2
Course:
LEARNING-FOCUSED TOOLBOX
Date: June 22, 2009 ET
Scott Hopkins
Topic: Trigonometric
Subject Area(s):
Functions
Days: 25
Grade(s):
Concept:
Concept:
Inverse Trig Functions
Applications of trig
functions
Concept:
Lesson Essential Question(s):
How do you evaluate the inverse of
the sine/cosine/tangent functions
without a calculator? How do you use
a calculator to evaluate inverse
trigonometric functions?How do you
find the exact value of composite
functions with inverse trigonometric
functions? (A)
Lesson Essential Question(s):
How do you solve right triangles?How
do you solve problems involving
bearings?How do you model simple
harmonic motion? (A)
Lesson Essential Question(s):
Vocabulary:
Inverse functions
Vocabulary:
bearing, harmonic motion
Vocabulary:
Page 2 of 2