## Loading...

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.

1

*expand content*

2

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

*expand content*

Feedback (0)

Give Tiffany some feedback on this lesson

BetterLesson Community Feedback

No comments at this time. Add yours above.

##### Similar Lessons

###### Riding a Ferris Wheel - Day 1 of 2

12th Grade Math » Trigonometric Functions

Big Idea:
Use a Ferris wheel scenario to model sinusoidal functions.

*Favorites(16)*

*Resources(15)*

Troy, MI

Environment: Suburban

Environment: Suburban

###### Even Odd Identities

12th Grade Math » Trigonometric Identities

Big Idea:
How can using the concept of even and odd functions help verify identities?

*Favorites(3)*

*Resources(22)*

Independence, MO

Environment: Suburban

Environment: Suburban

###### Introduction to the Ferris Wheel Problem

12th Grade Math » Ferris Wheels

Big Idea:
You are riding a Ferris wheel near the Golden Gate Bridge. When will you be high enough to see the full view? Students attempt to answer this question using some knowledge of right triangles.

*Favorites(9)*

*Resources(9)*

Oakland, CA

Environment: Urban

Environment: Urban

Scroll Up

- 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

Scroll Down

Scroll Up

- 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

Scroll Down