HSF-TF.A.1

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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.1

## Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

52 Lesson(s)

### Radians Day 1 of 2

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### The stars in the sky are not necessarily the best way to measure angles, this lesson explains why.

Standards:

Favorites
(5)

Resources
(38)

Reflections
(4)

Big Idea:

#### Radian rotation-style review of radians and radian measurement.

Standards:

Favorites
(3)

Resources
(8)

### 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)

### Introducing: Radians!

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### Why should we divide the circle into 360 parts? Isn't there a more natural unit? Yes - the radius!

Standards:

Favorites
(6)

Resources
(13)

Reflections
(1)

### Trigonometric Ratios of General Angles

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### It doesn't matter how many times you turn around or how dizzy you get, you can still find a trig ratio.

Standards:

Favorites
(2)

Resources
(34)

Reflections
(1)

Big Idea:

#### How do I even start this problem?! Give your students tools to help make sense of and work with trig problems.

Standards:

Favorites
(5)

Resources
(10)

Big Idea:

#### Radians are radical! Use them to make working with trig ratios easier.

Standards:

Favorites
(2)

Resources
(14)

### Trigonometric Functions Review Day 1

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### This lesson will train students HOW to study mathematics as well as help them review.

Standards:

Resources
(19)

### No Angle Left Behind: using trig functions for all angles

Algebra II »
Unit: Intro to Trig

Algebra II »
Unit: Intro to Trig

Big Idea:

#### What about all the non-right triangles? Expand on the trig functions using the unit circle.

Standards:

Resources
(13)

### Trigonometric Functions Review Day 2

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### This lesson will train students HOW to study mathematics as well as help them review.

Standards:

Resources
(14)

Big Idea:

#### Play Jeopardy to fill those odd days before break or during homecoming week with meaningful mathematical activities like this Jeopardy game.

Standards:

HSN-CN.A.1
HSN-CN.A.2
HSA-SSE.A.2
HSA-CED.A.1
HSA-CED.A.2
HSA-CED.A.3
HSA-CED.A.4
HSA-REI.A.2
HSA-REI.D.11
HSF-IF.B.4
HSF-IF.B.5
HSF-IF.B.6
HSF-IF.C.7
HSF-IF.C.8
HSF-BF.B.3
HSF-BF.B.4
HSF-LE.A.4
HSF-TF.A.1
HSF-TF.A.2
HSF-TF.B.5
HSF-TF.C.8
HSS-ID.A.4
HSS-IC.A.1
HSS-IC.A.2
HSS-IC.B.3
HSS-IC.B.4
HSS-IC.B.5
HSS-IC.B.6
HSS-MD.B.6
HSS-MD.B.7
MP1
MP2
MP6

Favorites
(8)

Resources
(8)

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

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Make the transition from the Ferris wheel problem to the unit circle.

Standards:

Favorites
(3)

Resources
(10)

Reflections
(1)

Big Idea:

#### Making connections between the Pythagorean Theorem and The Pythagorean Identity.

Standards:

Favorites
(2)

Resources
(14)

Reflections
(1)

Common Core Math

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HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

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Second Grade

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Fifth Grade

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Ninth and Tenth Grade

Kindergarten

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