+
Lesson Plan
K20 Learn

Round and Round We Go

For Teachers 11th - 12th Standards
Connect the dots on trigonometry with K'nex. Scholars use a K'nex model of a Ferris wheel to collect data points to plot on a height versus time graph. They'll then consider what type of function best models the data in the graph—and...
+
AP Test Prep
College Board

2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
+
AP Test Prep
College Board

2002 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...
+
Assessment
Concord Consortium

Transformations Resource

For Students 9th - 12th Standards
Transform your lesson for transforming functions. Scholars transform linear, quadratic, exponential, rational, and trigonometric expressions. They write their expressions to fit specific forms and identify the values of the resulting...
+
Interactive
CK-12 Foundation

Derivatives of Trigonometric Functions: Derivative of sin(x)

For Students 11th - Higher Ed
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
+
Interactive
CK-12 Foundation

Vertical Translations: Vertical Shift of Sinusoidal Functions

For Students 10th - 12th Standards
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
+
Interactive
CK-12 Foundation

Unit Circle: Medieval Castle Defense

For Students 10th - 12th Standards
Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...
+
eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
+
AP Test Prep
College Board

Frozen in Time

For Teachers 10th - 12th
Take a closer look at increasing and decreasing behavior by zooming in on graphs. An AP® Calculus reference document examines how increasing/decreasing behavior should be considered in terms of intervals rather than points. The resource...
+
Graphic
William Mueller

William Mueller: Families of Functions

For Students 9th - 10th Standards
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
+
Lesson Plan
Better Lesson

Better Lesson: Algebra Ii: The Trigonometric Functions

For Teachers 10th - 12th Standards
A lesson plan where students will interpret the trigonometric functions in terms of the unit circle, graph a sinusoidal function, and use a sinusoidal function to make interpretations in a modeling context.
+
Handout
Math Bits

Math Bits Notebook: Trigonometric Functions

For Students 9th - 10th Standards
Provides a detailed explanation of trigonometric functions with examples of reference angles and ratios.
+
Activity
Texas Instruments

Texas Instruments: Geometric Representation of Trig Functions

For Teachers 9th - 10th Standards
Using similar triangles, a relationship is established between the six trigonometric functions of an angle and simple line segments. These relationships are then confirmed using line segment measurement capabilities of the graphing...
+
Website
eFunda

Taylor Series Expansions of Inverse Hyperbolic Functions

For Students 9th - 10th Standards
This site gives the student the Taylor Series expansions for the various Inverse Hyperbolic Functions. The site has links to related topics.
+
Website
Other

Interactive Trigonometry

For Students 9th - 10th Standards
Resource contains interactive programs that can be manipulated and animation to help students grasp basic concepts in trigonometry.
+
Unit Plan
CK-12 Foundation

Ck 12: Trigonometric Functions of Angles Greater Than 360 Degrees

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Finding the value for trigonometric functions for angles exceeding 360 degrees.
+
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Trigonometric Functions of Negative Angles

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to define trigonometric functions of angles with negative values.
+
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Triple Angle Formulas and Linear Combinations

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Advanced applications of trigonometric identities.
+
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Amplitude, Period, and Frequency

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Combine calculations for amplitude and period on a sine or cosine graph.
+
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Law of Cosines

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Use Law of Cosines and Law of Sines in different triangle situations.
+
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Period and Frequency

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Relating period and frequency for a sine or cosine graph with examples, practice problems, and vocabulary.
+
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.2 Right Triangle Trig Extended to Circles With a Model

For Students 9th - 10th Standards
This section explores the relationship between right triangles, circles, and trigonometry. It investigates how a right triangle that is set inside a circle and rotates around the circle is connected to trigonometric functions and their...
+
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.7 Modeling Periodic Behavior

For Students 9th - 10th
This lesson will explore how real life examples of periodic behavior can be modeled with Trigonometric Functions.