K20 Learn
Round and Round We Go
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...
College Board
2010 AP® Calculus BC Free-Response Questions Form B
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...
College Board
2002 AP® Calculus BC Free-Response Questions Form B
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...
Concord Consortium
Transformations Resource
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...
CK-12 Foundation
Derivatives of Trigonometric Functions: Derivative of sin(x)
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...
CK-12 Foundation
Vertical Translations: Vertical Shift of Sinusoidal Functions
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...
CK-12 Foundation
Unit Circle: Medieval Castle Defense
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...
Whitman College
Calculus
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems.
College Board
Frozen in Time
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...
William Mueller
William Mueller: Families of Functions
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.
Better Lesson
Better Lesson: Algebra Ii: The Trigonometric Functions
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.
Math Bits
Math Bits Notebook: Trigonometric Functions
Provides a detailed explanation of trigonometric functions with examples of reference angles and ratios.
Texas Instruments
Texas Instruments: Geometric Representation of Trig Functions
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...
eFunda
Taylor Series Expansions of Inverse Hyperbolic Functions
This site gives the student the Taylor Series expansions for the various Inverse Hyperbolic Functions. The site has links to related topics.
Other
Interactive Trigonometry
Resource contains interactive programs that can be manipulated and animation to help students grasp basic concepts in trigonometry.
CK-12 Foundation
Ck 12: Trigonometric Functions of Angles Greater Than 360 Degrees
[Free Registration/Login may be required to access all resource tools.] Finding the value for trigonometric functions for angles exceeding 360 degrees.
CK-12 Foundation
Ck 12: Trigonometry: Trigonometric Functions of Negative Angles
[Free Registration/Login may be required to access all resource tools.] Learn how to define trigonometric functions of angles with negative values.
CK-12 Foundation
Ck 12: Trigonometry: Triple Angle Formulas and Linear Combinations
[Free Registration/Login may be required to access all resource tools.] Advanced applications of trigonometric identities.
CK-12 Foundation
Ck 12: Trigonometry: Amplitude, Period, and Frequency
[Free Registration/Login may be required to access all resource tools.] Combine calculations for amplitude and period on a sine or cosine graph.
CK-12 Foundation
Ck 12: Trigonometry: Law of Cosines
[Free Registration/Login may be required to access all resource tools.] Use Law of Cosines and Law of Sines in different triangle situations.
CK-12 Foundation
Ck 12: Trigonometry: Period and Frequency
[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.
CK-12 Foundation
Ck 12: Algebra Ii: 4.2 Right Triangle Trig Extended to Circles With a Model
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...
CK-12 Foundation
Ck 12: Algebra Ii: 4.7 Modeling Periodic Behavior
This lesson will explore how real life examples of periodic behavior can be modeled with Trigonometric Functions.