# Alg 2 -- Periodic Functions & Trigonometry

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This powerpoint review was designed to cover the material in Chapter 13 of the Prentice Hall CA Algebra 2 textbook. It includes: Exploring Periodic Data, Angles and the Unit Circle, Radian Measure, Properties, Graphs, and Translations of the six trig functions. No calculators are needed. All angles are special angles.

Each slide can be edited to meet the needs of your classroom. Math Type was used to create the slides.

The template was created using the characters from the TV show "The Big Bang Theory." Videos and sound effects from the show are also used...including Sheldon's famous "Bazinga!".

The review has a total of 24 questions. As a new slide is shown, the question will appear without clicking. After an appropriate amount of time, a sound will let the students know that "Time is Up." One more click will bring up all four possible answers. A third click will reveal the correct answer.

Students like this review because it is based on a TV show that most of them know, and they love the videos and sound effects.

Common Core Standards:
Extend the domain of trigonometric functions using the unit circle.
F-TF 1. Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
F-TF 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.
F-TF 2.1 Graph all 6 basic trigonometric functions. CA
F-TF 3. (+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number.
Model periodic phenomena with trigonometric functions.
F-TF 5. Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
F-TF 6. (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
F-TF 7. (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
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