UTPA STEM/CBI Courses/Calculus/Inverse Trigonometric Functions (Feng)

Backwards Design
Course Objectives


 * Primary Objectives- By the next class period students will be able to:
 * Understand the inverse sine, inverse cosine, and inverse tangent functions.
 * Evaluate inverse trigonometric functions for some special angles such as pi/6, pi/4 and pi/3 and related angles.
 * Evaluate an expression with mixed trigonometric functions and inverse trigonometric functions.


 * Sub Objectives- The objectives will require that students be able to:
 * Undertand the definition of trigonometric functions
 * Understand what is the inverse funciton
 * At what domain the Sine, Cosin and Tangent are one-to-one functions


 * Difficulties- Students may have difficulty:
 * Confused with the notation of trig. functions and inverse trig. functions
 * Distinguish the difference between them


 * Real-World Contexts- There are many ways that students can use this material in the real-world, such as:
 * periodic motion, estimate the height of the building.

Model of Knowledge


 * Concept Map
 * Inverse Function
 * Definition of trigonometric functions
 * Definition of inverse trigonometric functions


 * Content Priorities
 * Enduring Understanding
 * Inverse sine, inverse cosine, inverse tangent functions.
 * Evaluate inverse trigonometric functions for some classical numbers.
 * Use the calculator to evaluate inverse trigonometric functions for arbitrary numbers.
 * Important to Do and Know
 * Know the domain and range for each inverse trigonometric function.
 * Inverse trigonometric function identities.
 * Worth Being Familiar with
 * Composing a trigonometric function and an inverse.
 * Graphs of inverse trigonometric functions and their relationship with the graphs of trigonometric functions.

Assessment of Learning


 * Formative Assessment
 * In Class (groups)
 * none
 * Homework (individual)
 * from textbook
 * online homework on webassign
 * Summative Assessment
 * weekly quiz
 * exam

Legacy Cycle
OBJECTIVE

By the next class period, students will be able to: The objectives will require that students be able to:
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THE CHALLENGE

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GENERATE IDEAS

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MULTIPLE PERSPECTIVES

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RESEARCH & REVISE

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TEST YOUR METTLE

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GO PUBLIC

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Pre-Lesson Quiz
Various material can be tested here, depending on time constraints.

Test Your Mettle Quiz
Various material can be tested here, depending on time constraints.