HSF-TF.B.6

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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.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.

21 Lesson(s)

### 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)

### 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)

### 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)

### 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)

### Midterm Review Game: Trashball

12th Grade Math »
Unit: Midterm Review and Exam

12th Grade Math »
Unit: Midterm Review and Exam

Big Idea:

#### Use Trashball to get students ready for the midterm exam!

Standards:

Favorites
(1)

Resources
(7)

### 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)

### Inverse Trig Functions - Day 2 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:

Resources
(6)

### 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)

### 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)

Big Idea:

#### Pythagoras again!? Make everybody happy – give your students another chance to connect trig functions to something they already understand.

Standards:

Resources
(11)

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)

### Touching Tangents

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### This lesson is awesome because students get to explore tangent graphs and asymptotes with and without a graphing calculator

Standards:

Favorites
(2)

Resources
(14)

### Pluses and Minuses

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### Automobiles, photography, music, weights…what do these have in common? Trigonometry, of course!

Standards:

Resources
(10)

### Double or Half

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### Double or nothing? No, double or half – angle formulas that is. Let students practice using these formulas to simplify or solve trig functions.

Standards:

Resources
(9)

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