Critical Thinking: Analyze and interpret the results from solving and graphing trigonometric equations to draw meaningful conclusions.
Communication: Clearly articulate the reasoning and methods used in solving and graphing trigonometric equations.
Learner’s Mindset: Show curiosity and a willingness to explore the applications of trigonometry in various fields.
How do you convert between degrees and radians, and why is this conversion necessary?
What is the significance of the unit circle in understanding trigonometric functions?
How can solving and graphing trigonometric equations be used to model real-world periodic phenomena?
Students will be able to convert angles between degrees and radians.
Students will understand and utilize the unit circle to evaluate trigonometric functions.
Students will solve and graph trigonometric equations to model periodic phenomena.
Graphing linear equations using slope, intercepts as well as graphing non linear equations.
Testing functions for symmetry and finding their intersection points.
Recognize and explain the Unit Circle and its functions.
CCSS.MATH.CONTENT.HSF.TF.A.1: Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
CCSS.MATH.CONTENT.HSF.TF.A.2: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
CCSS.MATH.CONTENT.HSF.TF.B.5: Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
CCSS.MATH.CONTENT.HSF.TF.C.8: 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.
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