HSF-TF.A.2

Explain 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.

 
70 Lesson(s)
   

Graphs of Sine and Cosine

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Students get to build the graph of sine or cosine with yarn and spaghetti.

 
Favorites (10)
 
Resources (47)
 
Reflections (4)
image final pasta sine
   

Radian Stations - A Rotating Review

Algebra II » Unit: Trig Tidbits
Algebra II » Unit: Trig Tidbits
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

Radian rotation-style review of radians and radian measurement.

 
Favorites (3)
 
Resources (8)
image
   

What do Triangles have to do with Circles?

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

How is the unit circle related to "triangle measurement"? A story of two equivalent definitions.

 
Favorites (9)
 
Resources (17)
 
Reflections (1)
ptolemy chord resized
   

Introduction to the Ferris Wheel Problem

12th Grade Math » Unit: Ferris Wheels
12th Grade Math » Unit: Ferris Wheels
Hilary Yamtich
Oakland, CA
Environment: Urban
 
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.

 
Favorites (7)
 
Resources (9)
screenshot 2014 04 27 21 54 40
   

The Trigonometric Functions

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Favorites (6)
 
Resources (18)
 
Reflections (1)
ac generator resized
   

Ferris Wheel (Graph) Symmetries

12th Grade Math » Unit: Ferris Wheels
12th Grade Math » Unit: Ferris Wheels
Hilary Yamtich
Oakland, CA
Environment: Urban
 
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.

 
Favorites (3)
 
Resources (11)
screenshot 2014 04 27 21 54 28
   

Solving Trig Equations

12th Grade Math » Unit: Trigonometric Relationships
12th Grade Math » Unit: Trigonometric Relationships
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Why do these trig equations have so many solutions?

 
Resources (18)
 
Reflections (2)
untitled
   

The Unit Circle Day 2 of 2

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Why do we use a unit circle? How can we use it to represent all angles for all circles?

 
Favorites (2)
 
Resources (24)
image unit circle day 2
   

Introducing: Radians!

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Favorites (6)
 
Resources (13)
 
Reflections (1)
radian resized
   

Midterm Review Workshop

12th Grade Math » Unit: Midterm Review and Exam
12th Grade Math » Unit: Midterm Review and Exam
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Students work on midterm review and let you know what they still need help with.

 
Resources (3)
untitled
   

The Unit Circle Day 1 of 2

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Why do we use a unit circle? How can we use it to represent all angles for all circles?

 
Favorites (5)
 
Resources (26)
image unit circle day 1
   

Angle and Degree Measure

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Students will turn a locker combination into a secret math code (angles).

 
Favorites (8)
 
Resources (28)
 
Reflections (1)
image angle and degree
   

Trig with Zip!

Algebra II » Unit: Intro to Trig
Algebra II » Unit: Intro to Trig
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

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

 
Favorites (5)
 
Resources (10)
zipline2
   

Trigonometric Ratios

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Students will review and extend their knowledge of trigonometric ratios.

 
Favorites (2)
 
Resources (22)
 
Reflections (1)
trigonometric ratios
   

Radical Radians

Algebra II » Unit: Intro to Trig
Algebra II » Unit: Intro to Trig
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

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

 
Favorites (2)
 
Resources (14)
radian clock
Common Core Math
 
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