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Periodicity and Symmetry

# Periodicity and Symmetry

Unit 7: Rotations and Cyclical Functions

Lesson 8 of 10

Lesson 8 of 10

## Objective: SWBAT use the unit circle to identify the periodicity and symmetry of trigonometric functions.

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This section of the class is introduced using multimedia.

- I used the Unit Circle Symmetry and Periodicity.ppt as a guide to walk my students through using the unit circle as a tool (Mathematical Practice 5!) to learn more about how the sine, cosine, and tangent trigonometric functions behave.
- A video narrative with an overview of the PowerPoint is available here: Periodicity and Symmetry, video narrative, overview of PP.MP4

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- UNIT 1: Basic Functions and Equations
- UNIT 2: Polynomial Functions and Equations
- UNIT 3: Rational Functions and Equations
- UNIT 4: Exponential Functions and Equations
- UNIT 5: Logarithmic Functions and Equations
- UNIT 6: Conic Sections
- UNIT 7: Rotations and Cyclical Functions
- UNIT 8: Cyclical Patterns and Periodic Functions
- UNIT 9: Trigonometric Equations
- UNIT 10: Matrices
- UNIT 11: Review
- UNIT 12: Fundamentals of Trigonometry

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- LESSON 1: Angles and Rotations
- LESSON 2: Investigating Radians
- LESSON 3: Radians Formalized
- LESSON 4: Building the Unit Circle (Day 1 of 2)
- LESSON 5: Building the Unit Circle (Day 2 of 2)
- LESSON 6: What does the unit circle tell us? (Day 1 of 2)
- LESSON 7: What does the unit circle tell us? (Day 2 of 2)
- LESSON 8: Periodicity and Symmetry
- LESSON 9: Unit Circle Cake Walk (and other fun Unit Circle activities!)
- LESSON 10: Group Quiz - Unit Circle Applications

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