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What are the relationships between the unit circle and the trigonometric functions?
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Student Learning Map
- Topic:Trigonometric Functions
- Subject(s):Math
- Days:15
- Grade(s):11, 12
Key Learning:
Demonstrate an understanding of the connection between trigonometric and circular functions.
Unit Essential Question(s):
Lesson Essential Question(s):What is radian measure and how does it relate to degree meaure? (A)How are coterminal angles determined? (A)How is the quadrant that the terminal side of angle lies in determined? (A)Lesson Essential Question(s):What are the definitions of the trigonometric functions with respect to the unit circle? (A)What is the relationship of the unit circle to real numbers? (A)How can a calculator be used to evaluate trigonometric functions? (A)Lesson Essential Question(s):What is the relationship between the measures of the sides of a right triangle and the trigonometric functions of the acute angles? (A)What are the reciprocal, quotient, and Pythagorean identities and how are they used in trigonometry? (A)What are the reciprocal, quotient, and Pythagorean identities and how are they used in trigonometry? (ET)How are trigonometric functions used to model and solve real-life problems? (ET)Concept: Concept: Lesson Essential Question(s):What are the six trigonometric functions of any given angle? (A)How are reference angles of a given angle determined? (A)How are reference angles and the terminal side location used to evaluate trigonometric functions? (A)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 is radian measure and how does it relate to degree meaure?2. What are the definitions of the trigonometric functions with respect to the unit circle?3. What is the relationship between the measures of the sides of a right triangle and the trigonometric functions of the acute angles?4. What are the six trigonometric functions of any given angle?5. How are coterminal angles determined?6. How is the quadrant that the terminal side of angle lies in determined?7. What is the relationship of the unit circle to real numbers?8. How can a calculator be used to evaluate trigonometric functions?9. What are the reciprocal, quotient, and Pythagorean identities and how are they used in trigonometry?10. How are reference angles of a given angle determined?11. How are reference angles and the terminal side location used to evaluate trigonometric functions?Extended Thinking Lesson(s):
1. What are the reciprocal, quotient, and Pythagorean identities and how are they used in trigonometry?2. How are trigonometric functions used to model and solve real-life problems?