HSF-TF.A.3

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- HSF-TF.A.1Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
- HSF-TF.A.2Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
- HSF-TF.A.3(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number.
- HSF-TF.A.4(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

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## HSF-TF.A.3

## (+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number.

57 Lesson(s)

### 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)

### Unit Review Game: Lingo

12th Grade Math »
Unit: Trigonometric Relationships

12th Grade Math »
Unit: Trigonometric Relationships

Big Idea:

#### Today's review game will bring high energy and deep thinking into the classroom.

Standards:

Favorites
(6)

Resources
(6)

### 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
(14)

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:

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(7)

Resources
(9)

### 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)

### Unit Assessment: Trigonometric Relationships

12th Grade Math »
Unit: Trigonometric Relationships

12th Grade Math »
Unit: Trigonometric Relationships

Big Idea:

#### Assess your students' understanding of this unit.

Standards:

Favorites
(1)

Resources
(3)

### 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
(5)

Resources
(23)

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)

### 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:

#### 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)

Big Idea:

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

Standards:

Resources
(11)

### 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)

### 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
(1)

Resources
(14)

### 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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