Math 20-1
Trigonometry Outcomes
Trigonometry Outcome 1- Demonstrate an understanding of angles in standard position (0ᵒ to
360ᵒ).
Proficiency
Excellence
Proficient
Basic
Not meeting
Criteria
- Explain, determine, and illustrate how to determine the angles
from 0⁰ to 360⁰ that have the same reference angle as a given
angle
- Determine the quadrant in which a given angle in standard
position terminates
- Illustrate, using examples that the points P(x,y), P(-x,y), P(-x,-y)
and P(x,-y) are points on the terminal arm of angles in standard
position that have the same reference angle
- Determine and illustrate how to determine the angles from 0⁰
to 360⁰ that have the same reference angle as a given angle
- Determine the quadrant in which a given angle in standard
position terminates
- Illustrate, using examples that the points P(x,y), P(-x,y), P(-x,-y)
and P(x,-y) are points on the terminal arm of angles in standard
position that have the same reference angle
- Cannot explain, determine, and illustrate how to determine the
angles from 0⁰ to 360⁰ that have the same reference angle as a
given angle
- Cannot determine the quadrant in which a given angle in
standard position terminates
- Cannot illustrate, using examples that the points P(x,y), P(-x,y),
P(-x,-y) and P(x,-y) are points on the terminal arm of angles in
standard position that have the same reference angle
Trigonometry Outcome 2- Solve problems, using the three primary trigonometry ratios for
angles from 0ᵒ to 360ᵒ
Proficiency
Excellence
Proficient
Basic
Not Meeting
Criteria
- Determine the value of sinθ, cosθ and tanθ, given any point
P(x,y), where the coordinates contain variables on the terminal
arm of angle θ
- Solve for all possible solutions between 0⁰ and 360⁰, for all
values of θ, an equation of the form sinθ=a and cosθ=a where 1<a<1, and an equation of the form tanθ=a, where a is a real
number
- Provide a complete solution to a contextual problem, using
trigonometric ratios
- Determine the value of sinθ, cosθ and tanθ, given any point
P(x,y), where the coordinates are real numbers on the terminal
arm of angle θ
- Solve for one possible solutions between 0⁰ and 360⁰, for all
values of θ, an equation of the form sinθ=a and cosθ=a where 1<a<1, and an equation of the form tanθ=a, where a is a real
number
- Provide a partial solution to a contextual problem, using
trigonometric ratios
- Determine the value of sinθ, cosθ or tanθ, given any point
P(x,y), where the coordinates are real numbers on the terminal
arm of angle θ
- Solve, with minor errors for one possible solutions between 0⁰
and 360⁰, for all values of θ, an equation of the form sinθ=a or
cosθ=a where -1<a<1, and an equation of the form tanθ=a,
where a is a real number
- Provide a partial solution to a contextual problem, using
trigonometric ratios
- Cannot determine the value of sinθ, cosθ or tanθ, given any
point P(x,y), where the coordinates contain variables on the
terminal arm of angle θ
- Cannot solve for all possible solutions between 0⁰ and 360⁰, for
all values of θ, an equation of the form sinθ=a or cosθ=a where
-1<a<1, and an equation of the form tanθ=a, where a is a real
number
- Cannot provide a complete solution to a contextual problem,
using trigonometric ratios
Trigonometry Outcome 3- Solve problems, using the cosine law and sine law, including the
ambiguous case.
Proficiency
Excellence
Proficient
Basic
Not Meeting
Criteria
- Solve, using primary trigonometric ratios, a triangle that is not a
right triangle
- Sketch a diagram and solve a problem, using the sine law,
including the ambiguous case
- Describe and explain situations in which a problem may have no
solution, one solution or two solutions
- Solve, using primary trigonometric ratios, a triangle that is not a
right triangle
- Sketch a diagram and solve a problem, using the sine law,
excluding the ambiguous case
- Describe situations in which a problem may have no solution,
one solution or two solutions
- Solve, using primary trigonometric ratios, a triangle that is not a
right triangle
- Sketch a diagram and solve a problem, using the sine law,
excluding the ambiguous case
- Describe the number of solutions in a specific situation
- Cannot solve, using primary trigonometric ratios, a triangle that
is not a right triangle
- Cannot sketch a diagram and solve a problem, using the sine
law, excluding the ambiguous case
- Cannot describe the number of solutions in a specific situation