HSF-TF.B.5

Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*

 
75 Lesson(s)
   

Modeling Average Temperature with Trigonometry

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Local temperature averages are modeled by a cosine function in this very cool, or exceptionally hot, lesson.

 
Favorites (2)
 
Resources (30)
image modeling average temperature
   

Playing with the Numbers

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

Students transform equations and graphs of trig functions to earn points and win the game!

 
Favorites (3)
 
Resources (22)
 
Reflections (3)
playing with numbers
   

More Modeling with Periodic Functions

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Periodic phenomena are all around us and mathematical models help us to understand them.

 
Favorites (3)
 
Resources (17)
 
Reflections (1)
tide pool resized
   

Riding a Ferris Wheel - Day 1 of 2

12th Grade Math » Unit: Trigonometric Functions
12th Grade Math » Unit: Trigonometric Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Use a Ferris wheel scenario to model sinusoidal functions.

 
Favorites (13)
 
Resources (15)
 
Reflections (2)
untitled
   

Introduction to the Ferris Wheel Problem

12th Grade Math » Unit: Ferris Wheels
12th Grade Math » Unit: Ferris Wheels
Hilary Yamtich
Oakland, CA
Environment: Urban
 
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 (7)
 
Resources (9)
screenshot 2014 04 27 21 54 40
   

The Trigonometric Functions

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

The unit circle allows us to extend the trigonometric functions beyond the confines of a right triangle.

 
Favorites (6)
 
Resources (18)
 
Reflections (1)
ac generator resized
   

Ferris Wheel (Graph) Symmetries

12th Grade Math » Unit: Ferris Wheels
12th Grade Math » Unit: Ferris Wheels
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

You are sitting on a Ferris wheel. Who is directly across from you? Below you? Diagonally across from you? Use a representation of the unit circle to make generalizations.

 
Favorites (3)
 
Resources (11)
screenshot 2014 04 27 21 54 28
   

Generalizing the Sine Function

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Based on their modeling experience, the general sine function is quick and easy to define.

 
Favorites (4)
 
Resources (20)
 
Reflections (2)
ac generator
   

Practicing with Sine and Cosine

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Practice makes perfect! Students gain confidence relating the graph to the equation by means of their key features.

 
Favorites (4)
 
Resources (11)
 
Reflections (1)
sinusoid
   

Weather Ups and Downs

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

This lesson is awesome because it gives your students a real world connection to periodicity using weather data. They get to fit a sine and/or cosine graph to actual data!

 
Favorites (7)
 
Resources (11)
weather ups and downs
   

Model Trigonometry with a Ferris Wheel Day 2 of 2

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Take your students to the county fair with this trig function modeling lesson.

 
Resources (32)
 
Reflections (2)
image student
   

Period and Amplitude

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

What makes the graph of a trig function unique? Find out in this lesson.

 
Favorites (3)
 
Resources (35)
 
Reflections (2)
image period and amplitude
   

When Will We Ever Use This

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

Want a good answer to “When will we ever use this?” This lesson gives students an opportunity to explore applications of inverse trig functions.

 
Favorites (1)
 
Resources (9)
when will we ever use this
   

Tangent Modeling

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

This lesson is awesome because it gives your students a connection to tangent periodicity using a real-world example. They generate data and create a tangent equation that fits it.

 
Favorites (2)
 
Resources (9)
tangent modeling image
   

Trig Review

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

If you hate reviewing for an exam, maybe this lesson is for you. Let your students take charge of their review and see how much more you all get out of the process!

 
Favorites (1)
 
Resources (19)
trig review
Common Core Math
 
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