Unit Lessons
Unit Lessons
Embedded Files
Lesson 1: Angles, Degrees, and Radians
Lesson 1: Angles, Degrees, and Radians
In the "Angles, Degrees, and Radians" lesson you will learn how to determine co-terminal angles and reference angles given degrees and radians.
In the "Angles, Degrees, and Radians" lesson you will learn how to determine co-terminal angles and reference angles given degrees and radians.
Standards
Standards
G.GSR.7.3
G.GSR.7.3
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° (𝜋/6 ), 45° (𝜋/4 ), and 60° (𝜋/3 ) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° (𝜋/6 ), 45° (𝜋/4 ), and 60° (𝜋/3 ) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.
Quiz 1
Quiz 1
Degrees on the Unit Circle Quiz
Degrees on the Unit Circle Quiz
Assessment will be taken on Wednesday September 16th.
Assessment will be taken on Wednesday September 16th.
Lesson 2: Trig Functions in Degrees on the Unit Circle
Lesson 2: Trig Functions in Degrees on the Unit Circle
In the "Trig Functions in Degrees on the Unit Circle" lesson you will learn how to determine trig functions in degrees and solve trig equations from the unit circle.
In the "Trig Functions in Degrees on the Unit Circle" lesson you will learn how to determine trig functions in degrees and solve trig equations from the unit circle.
Standards
Standards
G.GSR.7.3
G.GSR.7.3
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° (𝜋/6 ), 45° (𝜋/4 ), and 60° (𝜋/3 ) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° (𝜋/6 ), 45° (𝜋/4 ), and 60° (𝜋/3 ) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.
Quiz 2
Quiz 2
Radians on the Unit Circle Quiz
Radians on the Unit Circle Quiz
Assessment will be taken on Thursday September 16th.
Assessment will be taken on Thursday September 16th.
Lesson 3: Trig Functions in Radians on the Unit Circle
Lesson 3: Trig Functions in Radians on the Unit Circle
In the "Trig Functions in Radians on the Unit Circle" lesson you will learn how to determine trig functions in radians and solve trig equations from the unit circle.
In the "Trig Functions in Radians on the Unit Circle" lesson you will learn how to determine trig functions in radians and solve trig equations from the unit circle.
Standards
Standards
G.GSR.7.3
G.GSR.7.3
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° (𝜋/6 ), 45° (𝜋/4 ), and 60° (𝜋/3 ) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° (𝜋/6 ), 45° (𝜋/4 ), and 60° (𝜋/3 ) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.
Workday: Trig Functions Activity
Workday: Trig Functions Activity
Standards
Standards
G.GSR.7.3
G.GSR.7.3
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° (𝜋/6 ), 45° (𝜋/4 ), and 60° (𝜋/3 ) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° (𝜋/6 ), 45° (𝜋/4 ), and 60° (𝜋/3 ) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.
Quiz 3
Quiz 3
Trig Functions on the Unit Circle Quiz
Trig Functions on the Unit Circle Quiz
Assessment will be taken on Monday September 22nd,
Assessment will be taken on Monday September 22nd,
Lesson 4: Trig Functions of Any Angle
Lesson 4: Trig Functions of Any Angle
In the "Trig Functions of Any Angle" lesson you will learn how to find the six trig functions for angles given an ordered pair that is not on the Unit Circle.
In the "Trig Functions of Any Angle" lesson you will learn how to find the six trig functions for angles given an ordered pair that is not on the Unit Circle.
Standards
Standards
PC.FGR.3.3
PC.FGR.3.3
Define the six trigonometric ratios in terms of x, y, and r using the unit circle centered at the origin of the coordinate plane. Interpret radian measures of angles as a rotation both counterclockwise and clockwise around the unit circle.
Define the six trigonometric ratios in terms of x, y, and r using the unit circle centered at the origin of the coordinate plane. Interpret radian measures of angles as a rotation both counterclockwise and clockwise around the unit circle.
PC.FGR.3.5
PC.FGR.3.5
Determine the value(s) of trigonometric functions for a set of given conditions.
Determine the value(s) of trigonometric functions for a set of given conditions.
Lesson 5: Solving Multi-Step Trig Equations
Lesson 5: Solving Multi-Step Trig Equations
In the "Solving Multi-Step Trig Equations" lesson you will learn how to solving trigonometric equations using multiple steps.
In the "Solving Multi-Step Trig Equations" lesson you will learn how to solving trigonometric equations using multiple steps.
Standards
Standards
PC.AGR.4.3
PC.AGR.4.3
Solve trigonometric equations arising in modeling contexts.
Solve trigonometric equations arising in modeling contexts.
Lesson 6: Solving Trig Equations with Parentheses
Lesson 6: Solving Trig Equations with Parentheses
In the "Solving Trig Equations with Parentheses" lesson you will learn how to solve trigonometric equations with an x that is in parentheses.
In the "Solving Trig Equations with Parentheses" lesson you will learn how to solve trigonometric equations with an x that is in parentheses.
Standards
Standards
PC.AGR.4.3
PC.AGR.4.3
Solve trigonometric equations arising in modeling contexts.
Solve trigonometric equations arising in modeling contexts.
Quiz 4
Quiz 4
Trig Functions of Any Angle and Solving Trig Multi-Step Equations Quiz
Trig Functions of Any Angle and Solving Trig Multi-Step Equations Quiz
Assessment will be taken on Thursday September 25th.
Assessment will be taken on Thursday September 25th.
Lesson 7: Solving Trig Equations by Factoring
Lesson 7: Solving Trig Equations by Factoring
In the "Solving Trig Equations by Factoring" lesson you will learn how to use factoring to solve trigonometric equations.
In the "Solving Trig Equations by Factoring" lesson you will learn how to use factoring to solve trigonometric equations.
Standards
Standards
PC.AGR.4.3
PC.AGR.4.3
Solve trigonometric equations arising in modeling contexts.
Solve trigonometric equations arising in modeling contexts.
Unit Review: Solving Trig Equations using the Unit Circle Unit Review
Unit Review: Solving Trig Equations using the Unit Circle Unit Review
Standards
Standards
G.GSR.7.3
G.GSR.7.3
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° (𝜋/6 ), 45° (𝜋/4 ), and 60° (𝜋/3 ) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° (𝜋/6 ), 45° (𝜋/4 ), and 60° (𝜋/3 ) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.
PC.FGR.3.3
PC.FGR.3.3
Define the six trigonometric ratios in terms of x, y, and r using the unit circle centered at the origin of the coordinate plane. Interpret radian measures of angles as a rotation both counterclockwise and clockwise around the unit circle.
Define the six trigonometric ratios in terms of x, y, and r using the unit circle centered at the origin of the coordinate plane. Interpret radian measures of angles as a rotation both counterclockwise and clockwise around the unit circle.
PC.FGR.3.5
PC.FGR.3.5
Determine the value(s) of trigonometric functions for a set of given conditions.
Determine the value(s) of trigonometric functions for a set of given conditions.
PC.AGR.4.3
PC.AGR.4.3
Solve trigonometric equations arising in modeling contexts.
Solve trigonometric equations arising in modeling contexts.
Unit Test
Unit Test
Solving Trig Equations using the Unit Circle Unit Test
Solving Trig Equations using the Unit Circle Unit Test
Assessment will be taken on Tuesday September 30th.
Assessment will be taken on Tuesday September 30th.
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