HSF-TF.B.7

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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.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.★

39 Lesson(s)

### NPR Car Talk Problem - Day 1 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### This problem from NPR's Car Talk is engaging, challenging, and mathematically rich!

Standards:

Favorites
(13)

Resources
(19)

Reflections
(2)

### The Drawbridge - An Introduction to Inverse Sine

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### The inputs and outputs of our trig function has switched! How do we deal with that?

Standards:

Favorites
(4)

Resources
(15)

Reflections
(1)

### 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)

### NPR Car Talk Problem - Day 2 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### This problem from NPR's Car Talk is engaging, challenging, and mathematically rich!

Standards:

Favorites
(5)

Resources
(9)

### 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)

### Solving Quadratic Trig Equations (Day 1 of 2)

12th Grade Math »
Unit: Trigonometric Equations

12th Grade Math »
Unit: Trigonometric Equations

Big Idea:

#### The class works together to review methods of solving quadratic equations and make connections to quadratic trig equations.

Standards:

Favorites
(1)

Resources
(31)

Reflections
(4)

### The Problems with Inverse Trig Problems

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Highlight common hurdles of inverse trig functions to evoke deep thinking.

Standards:

Favorites
(3)

Resources
(15)

Reflections
(1)

### Solving Trig Equations

12th Grade Math »
Unit: Trigonometric Relationships

12th Grade Math »
Unit: Trigonometric Relationships

Big Idea:

#### Why do these trig equations have so many solutions?

Standards:

Resources
(18)

Reflections
(2)

### 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)

### Puzzle - Solving Variety of Trig Equations

12th Grade Math »
Unit: Trigonometric Equations

12th Grade Math »
Unit: Trigonometric Equations

Big Idea:

#### Students literally and figuratively put the pieces together by solving a variety of trig equations!

Standards:

Favorites
(9)

Resources
(19)

Reflections
(1)

### Inverse Trig Functions - Day 1 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Use a graphical perspective to establish inverse trig functions.

Standards:

Favorites
(4)

Resources
(12)

Reflections
(1)

### Final Exam Review Stations (Day 1 of 3)

12th Grade Math »
Unit: Review

12th Grade Math »
Unit: Review

Big Idea:

#### Students review by working through various stations at their own pace and receive immediate feedback on their work.

Standards:

Favorites
(6)

Resources
(23)

Reflections
(1)

### Solving Basic Trigonometric Equations

12th Grade Math »
Unit: Trigonometric Equations

12th Grade Math »
Unit: Trigonometric Equations

### Inverse Trig Functions: Formative Assessment

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Use the Quick Quiz results to identify students who need an individual conference about trig inverses.

Standards:

Resources
(6)

### 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)

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