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

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## Backwards Design[edit | edit source]

**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

- In Class (groups)
**Summative Assessment**- weekly quiz
- exam

## Legacy Cycle[edit | edit source]

**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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**TEST YOUR METTLE**

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**GO PUBLIC**

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## Pre-Lesson Quiz[edit | edit source]

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

## Test Your Mettle Quiz[edit | edit source]

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