# 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:

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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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GO PUBLIC

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## Pre-Lesson Quiz

Various material can be tested here, depending on time constraints.