Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*
by Kate Morris
1. Objective: Recognize, describe and graph transformations of sine and cosine functions.
1.1. Use graphing utility to graph transformations of sine and cosine.
1.2. Graph simple transformations
1.2.1. I do, you do, we do
1.3. Graph complex transformations
1.3.1. From formulas
1.3.2. From data
2. Objective: Use basic identities to find values of sine and cosine
2.1. Exploratory Challenge to discover Identities
2.2. Use of graph and unit circle to represent identities
2.3. Using choice of method to solve
3. Objective: Use unit circle to graph basic functions of sine and cosine
3.1. Creating unit circle as a class
3.1.1. Using special right triangles to find values.
3.2. Connecting the motion of a Ferris wheel to the values on a unit cicle and the sine function.
3.2.1. Creating a model of a Ferris wheel and measuring heights as the Ferris wheel rotates.
3.3. Using critical points to accurately graph sine and cosine functions
3.3.1. Discussion of what critical points are and how they are used to graph other types of functions that we have studied.