HSF-TF.B.5

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- HSF-TF.B.5Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*
- HSF-TF.B.6(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
- HSF-TF.B.7(+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.★

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## 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

### Playing with the Numbers

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

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

Standards:

Favorites
(3)

Resources
(22)

Reflections
(3)

### More Modeling with Periodic Functions

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

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

Standards:

Favorites
(3)

Resources
(17)

Reflections
(1)

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

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Use a Ferris wheel scenario to model sinusoidal functions.

Standards:

Favorites
(13)

Resources
(15)

Reflections
(2)

### Introduction to the Ferris Wheel Problem

12th Grade Math »
Unit: Ferris Wheels

12th Grade Math »
Unit: 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.

Standards:

Favorites
(7)

Resources
(9)

### The Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

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

Standards:

Favorites
(6)

Resources
(18)

Reflections
(1)

### Ferris Wheel (Graph) Symmetries

12th Grade Math »
Unit: Ferris Wheels

12th Grade Math »
Unit: Ferris Wheels

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.

Standards:

Favorites
(3)

Resources
(11)

### Generalizing the Sine Function

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

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

Standards:

Favorites
(4)

Resources
(20)

Reflections
(2)

### Practicing with Sine and Cosine

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

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

Standards:

Favorites
(4)

Resources
(11)

Reflections
(1)

### Weather Ups and Downs

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

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!

Standards:

Favorites
(7)

Resources
(11)

### Model Trigonometry with a Ferris Wheel Day 2 of 2

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

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

Standards:

Resources
(32)

Reflections
(2)

### Period and Amplitude

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

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

Standards:

Favorites
(3)

Resources
(35)

Reflections
(2)

### When Will We Ever Use This

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

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.

Standards:

Favorites
(1)

Resources
(9)

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!

Standards:

HSF-TF.A
HSF-TF.A.3
HSF-TF.A.4
HSF-TF.B
HSF-TF.B.5
HSF-TF.B.6
HSF-TF.B.7
HSF-TF.C
HSF-TF.C.8
HSF-TF.C.9
MP1
MP2
MP3

Favorites
(1)

Resources
(19)

### Tangent Modeling

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

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.

Standards:

Favorites
(2)

Resources
(9)

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