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Analyze trigonometric functions
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
graph angles in standard position
solve problems involving special right triangles
use reference angles to find exact values of trigonometric functions in any quadrant
find the exact value of a trigonometric function given a point on the terminal side of an angle
find the exact value of a trigonometric function given a right triangle
use reciprocal identities
use quotient identities
use Pythagorean identities
use even-odd identities
use cofunction identities
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Evaluate the trigonometric functions
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
identify exact values of trigonometric functions
find approximate values of trigonometric functions using a calculator
solve right triangles using inverse trigonometric functions
solve right triangles using trigonometric functions
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Apply the unit circle and radian measure
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
use the concept of a reference angle
graph angles in standard position given radian measure
relate radian measures to real numbers
convert between radian measures and degree measures of angles
find exact and approximate values of trigonometric functions given in radian measure
analyze the unit circle
find arc length and area of a sector
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Analyze graphs of trigonometric functions
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
sketch graphs of basic trigonometric functions
apply transformations to the graphs of trigonometric functions
identify domains and ranges of trigonometric functions and their graphs
identify domains and range given graphs of trigonometric functions
find equations from graphs given trigonometric functions
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Analyze inverse trigonometric functions
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
define the inverse trigonometric functions
identify domains and ranges of inverse trigonometric functions
sketch graphs of the inverse trigonometric functions
evaluate the inverse trigonometric functions
evaluate the composition of trigonometric and inverse trigonometric functions
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Manipulate trigonometric identities
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
use identities to evaluate trigonometric functions
use trigonometric identities to verify other identities
apply sum and difference identities
apply double-angle and half-angle identities
apply sum-to-product and product-to-sum identities
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Solve trigonometric equations
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
solve equations involving trigonometric expressions of a single angle
solve equations involving trigonometric expressions of multiple angles
use correct notation to express infinite and finite solution sets of trigonometric equations
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Solve oblique triangles
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
use the Law of Sines to solve oblique triangles
use the Law of Cosines to solve oblique triangles
calculate areas of oblique triangles
solve application problems involving oblique triangles
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Perform vector operations
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
define a vector
define unit vectors i and j
identify the horizontal and vertical components of a vector
find the magnitude of a vector
find the direction of a vector
perform vector addition
perform scalar multiplication of vectors
compute dot product of vectors
determine if two vectors are perpendicular
find the angle measure between two vectors
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Perform operations with complex numbers in trigonometric form
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
convert complex numbers between rectangular form and trigonometric form
graph complex numbers in trigonometric form and rectangular form
find products of complex numbers written in trigonometric form
find quotients of complex numbers written in trigonometric form
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Analyze the polar coordinate system
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
identify points in the polar coordinate system
translate between rectangular coordinates and polar coordinates for a given point
convert an equation between polar form and rectangular form
explore graphs of equations in polar form