Lafayette Parish School System
Advanced Math Pre-Calculus Curriculum Map
Unit 1: Trigonometry
Time Frame:
C.C. #
Common Core
Evidence / Assessments of learning
Instructional
Notes/Strategies
Differentiation
Student Understandings
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G.SRT.8
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Right Triangle Trig
Trig Ratios
Special Angles
Solving Right Triangles
Right Triangle Real World situations
Extending Angle Measures and Co-terminal Angles
Use trigonometric ratios and the
Pythagorean Theorem to solve right
triangles in applied problems.★
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Radian Angle Measure and Conversion between
Degrees and Radians
Arc Length
Trigonometric Functions and Trigonometric Ratio in
a Coordinate Plate
Unit Circle and Reference angles
Define six trigonometric ratios of an
acute angle in terms of a right angle
Evaluate trig ratios using triangles/or
calculators
Solve triangles using trig ratios
Solve applications using triangles
7.1 Right
Triangle
Trigonometry
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Finding Trigonometric Values
Quotient Identities
Reciprocal Identities
Pythagorean Identities
Periodicity Identities
Negative Angle Identities
Trig Ratio Activity from TI
Geometry: Trig Ratios
Discovery Education Streaming Videos (search:
Right Triangle Trig)
Kuta Software: Evaluate Trig Ratios
Kuta Software: Right Triangle Trig-Finding missing
sides and angles
Can students determine how right triangle
trigonometry is used to solve right triangles?
www.Mathtv.com/videos_by_topic
Mathbits.com: Degrees, Radians, and Trig Angle
Entries for TI-83 and TI-84
Regents Prep: Six Trigonometric Functions
F.TF.3
Use special triangles to determine
geometrically the values of sine, cosine,
 

tangent for , , and , and use the unit
3 4
6
circle to express the values of sine, cosine, and
tangent for   x,   x , and 2  x in terms
of their values for x, where x is any real
number.

Use a rotating ray to extend the
definition of angle measure to negative
angles and greater than 180 degrees
 Define radian measure and convert
angle measures between degrees and
radians
How is the unit circle used to describe
trigonometric functions?
5.1 Angles and
Their Measure
Radian Measure Activity from TI
Precalculus: Radian Measure
NCTM Illuminations
Trigonometry for Solving Problems
Kuta Software: Angles and Angle measures
Kuta Software: Coterminal angles and
Reference Angles
Regents Prep: Reference Angles and Triangles
Lafayette Parish School System
Advanced Math Pre-Calculus Curriculum Map
Unit 1: Trigonometry
Time Frame:
C.C. #
F.TF.1
F.TF.3
Common Core
Use special triangles to determine
geometrically the values of sine, cosine,
 

tangent for , , and , and use the unit
3 4
6
circle to express the values of sine, cosine, and
tangent for   x,   x , and 2  x in terms
of their values for x, where x is any real
number.
Use the unit circle to explain symmetry (odd
and even) and periodicity of trigonometric
functions.
F.TF.3
Use special triangles to determine
geometrically the values of sine, cosine,
 

tangent for , , and , and use the unit
3 4
6
circle to express the values of sine, cosine, and
tangent for   x,   x , and 2  x in terms
of their values for x, where x is any real
number.
F.TF.8
Instructional
Notes/Strategies
Understand radian measure of an angle as the
length of the arc on the unit circle subtended
by the angle.
F.TF.4
F.TF.4
Evidence / Assessments of learning
Use the unit circle to explain symmetry (odd
and even) and periodicity of trigonometric
functions.
Prove the Pythagorean identity sin2(θ) +
cos2(θ) = 1 and use it to find sin(θ), cos(θ), or
tan(θ) given sin(θ), cos(θ), or tan(θ) and the
quadrant of the angle.
Differentiation
www.Mathtv.com/videos_by_topic
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Define the trigonometric ratios in the
coordinate plane
 Define trigonometric functions in terms
of the unit circle
 Construct a tangent line from a point
outside a given circle to the circle.
Describe how do you convert between radians
and degrees.
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Develop basic trigonometric ratios
Prove and work with basic
trigonometric identities
What are the relationships between the
Pythagorean Identities for Trigonometry?
5.2
Trigonometric
Functions: Unit
Circle Approach
Unit Circle Activity from TI
Precalculus: The Unit Circle
http://www.purplemath.com/modules/unitcirc.htm
Regents Prep: Unit Circle
Math Warehouse: Unit Circle
5.3 Properties of
the
Trigonometric
Functions
Identities activity from TI
Precalculus: Proof of Identities
www.Mathtv.com/videos_by_topic
Lafayette Parish School System
Advanced Math Pre-Calculus Curriculum Map
Unit 1: Trigonometry
Time Frame:
C.C. #
Common Core
Evidence / Assessments of learning
Instructional
Notes/Strategies
Differentiation