## Unit 5 - __Lesson 1 - Analyze functions using different representations__

__Lesson Standards__- Graph
functions expressed symbolically and show key features of the graph, by hand in
simple cases and using technology for more complicated cases.
*(Limit to trigonometric functions.)* - Graph trigonometric functions, showing period, midline, and amplitude.

**Possible Essential Questions:**- What is the difference between the ratio of sides for since and cosine?

- Describe how can you describe the amplitude oscillates from the midline?
- What happens to the graphs when the period is larger than 2π?
- What happens to the graphs when the period is less than 2π?

- How can you translate the graph of the since function to match the graph of the cosine function?

- How can you translate the graph of the cosine function to match the graph of the since function?

**Student:**Students should use the online lesson videos to reinforce the classroom instruction, complete the worksheets, activity, and lesson assessment. Students should also check their worksheets with the answer key online. Watch the lesson and worksheet videos to assist you with the understanding of each concept.

**Lesson Videos**
Graphing Sine and Cosine Functions |
Transformations |
Transformations of Sine Functions |

**Worksheets:****Worksheet - Graphing Sin and Cos Functions**(Answers)**Worksheet - amplitude, period, phase shift, vertical shift****Analyzing Sine and Cosine Functions****Find amplitude, period, phase shift**

**Worksheet Videos**