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What are the basic behaviors of the graphs of trigonometric functions?
How are the basic transformations of graphing applied to the parent graph of all functions?
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Student Learning Map
- Topic:Graphing Trigonometric Functions
- Subject(s):Math
- Days:15
- Grade(s):11, 12
Key Learning:
Apply general graphing techniques to trigonometric functions and their inverses.
Unit Essential Question(s):
Lesson Essential Question(s):What are the basic behaviors of the sine and cosine curves? (A)How do the basic transformations of graphing apply to the sine and cosine curves? (ET)How are sine and cosine functions used to model real-life data? (ET)Lesson Essential Question(s):How are domain, range, and period used to graph tangent and cotangent functions? (A)How do the graphs of cosecant and secant functions relate to the sine and cosine functions? (ET)Lesson Essential Question(s):How are the inverse sine, inverse cosine, and inverse tangent functions evaluated? (A)How is the composition of inverse trigonometric functions evaluated? (A)What are the definitions of inverse trigonometric functions, and how are they useful in real-life situations? (A)What are the definitions of inverse trigonometric functions, and how are they useful in real-life situations? (ET)Vocabulary:Concept: Concept: Lesson Essential Question(s):How are real-life problems involving right triangles solved? (ET)How are real-life problems involving directional bearings solved? (ET)Lesson Essential Question(s):Lesson Essential Question(s):
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Textbook Ancillary Material Technology Support Program Hands-on manipulatives Kaplan Lesson Plans
Resources:
Acquisition Lesson(s):
1. What are the basic behaviors of the sine and cosine curves?2. How are domain, range, and period used to graph tangent and cotangent functions?3. How are the inverse sine, inverse cosine, and inverse tangent functions evaluated?4. How is the composition of inverse trigonometric functions evaluated?5. What are the definitions of inverse trigonometric functions, and how are they useful in real-life situations?Extended Thinking Lesson(s):
1. How are real-life problems involving right triangles solved?2. How do the basic transformations of graphing apply to the sine and cosine curves?3. How are sine and cosine functions used to model real-life data?4. How do the graphs of cosecant and secant functions relate to the sine and cosine functions?5. What are the definitions of inverse trigonometric functions, and how are they useful in real-life situations?6. How are real-life problems involving directional bearings solved?