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.
- Enduring Understanding
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.