HSF-TF.C.8

Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.

 
39 Lesson(s)
   

Playing with the Numbers

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

Students transform equations and graphs of trig functions to earn points and win the game!

 
Favorites (3)
 
Resources (22)
 
Reflections (3)
playing with numbers
   

Unit Review Game: Lingo

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

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

 
Favorites (6)
 
Resources (6)
untitled
   

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
   

Unit Assessment: Trigonometric Relationships

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

Assess your students' understanding of this unit.

 
Favorites (1)
 
Resources (3)
exam
   

Final Exam Review Stations (Day 1 of 3)

12th Grade Math » Unit: Review
12th Grade Math » Unit: Review
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

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

 
Favorites (5)
 
Resources (23)
 
Reflections (1)
review stations 1
   

Sum and Difference Identities

12th Grade Math » Unit: Trigonometric Equations
12th Grade Math » Unit: Trigonometric Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

The love story of Sinbad and Cosette helps students to remember and apply the sum and difference identities.

 
Favorites (1)
 
Resources (17)
 
Reflections (1)
sum and difference identities resized
   

Proving Identities

12th Grade Math » Unit: Trigonometric Identities
12th Grade Math » Unit: Trigonometric Identities
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

How can you use the fundamental identities show 2 expressions are equivalent?

 
Favorites (2)
 
Resources (15)
 
Reflections (1)
math
   

Formative assessment over Identities

12th Grade Math » Unit: Trigonometric Identities
12th Grade Math » Unit: Trigonometric Identities
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

Through a quiz students will demonstrate their ability to verify identities.

 
Favorites (1)
 
Resources (7)
 
Reflections (1)
copy of test
   

Pythagorean Identity

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

How can you use Pythagorean Theorem in two different ways to solve the same problem? Find out in this lesson.

 
Favorites (2)
 
Resources (25)
image pythagorean identities
   

Weather Ups and Downs

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
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!

 
Favorites (7)
 
Resources (11)
weather ups and downs
   

When Will We Ever Use This

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
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.

 
Favorites (1)
 
Resources (9)
when will we ever use this
   

Tangent Modeling

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
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.

 
Favorites (2)
 
Resources (9)
tangent modeling image
   

Trig Review

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
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!

 
Favorites (1)
 
Resources (19)
trig review
   

Trigonometric Functions Review Day 1

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

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

 
Resources (19)
image trigonometric functions review
   

Here's Proof

Algebra II » Unit: Trigonometric Functions
Algebra II » Unit: Trigonometric Functions
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

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

 
Resources (11)
here s proof
Common Core Math
 
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