CK-12 Foundation
Pythagorean Theorem for Solving Right Triangles: Solving the Triangle
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find 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...
CK-12 Foundation
Double Angle Identities: Ferris Wheel
Use a Ferris wheel to soar to new heights of understanding on double angle identities. Here is an interactive that applies an example of a Ferris wheel to show how doubling the angle does not double the value of a trigonometric ratio....
CK-12 Foundation
Reference Angles and Angles in the Unit Circle: Exploring Reference Angles
A steal of a deal — get four angles for the value of one. An interactive resource allows individuals to visualize all four angles that have the same reference angle. Pupils answer questions by using the interactive to create the...
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...
Curated OER
T Points from Directions
Here is a activity that starts with having geometers translate points using compass directions into an accurate picture of the problem. Then they must use their knowledge of the Pythagorean theorem or similar triangles to solve. This...
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Students explore the concept of sine and cosine. In this sine and cosine instructional activity, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent function...
Curated OER
Magic Square Trig Identities
In this trig worksheet, 12th graders review their trig identities using a table. They answer questions 1-16 as given clues to find the answer to the correct identity.
Curated OER
Ten Trigonometric Review Problems - Calculator Required
In this trigonometry review worksheet, students convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
Curated OER
Introducing Trigonometry
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II lesson, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain...
Curated OER
Trigonometry Ratios in Right Triangles
In this trigonometry ratios in right triangles worksheet, 10th graders solve 10 different trigonometric ratios that apply to right triangles. First, they define a trigonometric ratio and its three most common ratios, sine, cosine, and...
Curated OER
Investigating the Idea of Sin
Fifth graders use sin to solve problems involving right-angled triangles, Solve equations of the form sin(++) = a, for a between -180++ and 360++. They State and graph the value of sin(++) in special cases. They describe some of the ways...
Curated OER
Even More Calculus
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the topic,...
Curated OER
Angle Sum and Difference
In this angle sum and difference worksheet, 11th graders solve 10 different problems related to determining the angle sum and difference of numbers. First, they determine the exact value of sine and cosine degrees. Then, students utilize...
Curated OER
Pythagorean Identities
In this Pythagorean identities worksheet, 11th graders solve 10 different problems that include applying various Pythagorean identities in each. First, they determine the values of tangent, secant, cosecant, and cosine given the other...
Curated OER
Sine
In this sine worksheet, 10th graders solve 10 different problems that include finding the sine in each figure shown. They determine the value of x in each situation. Then, students use the tangent line of the given angle to solve the...
Curated OER
Cosine
In this cosine learning exercise, 10th graders solve 10 different problems that include various measures of angles. They determine the value of x in each problem using the cosine of the given angle. Then, students substitute the answer...
Curated OER
Exercise Set 4.3: Unit Circle Trigonometry
For this unit circle instructional activity, students answer 90 short answer questions about the unit circle. Students sketch angles given a radian measure. Students find the trigonometric values of various angles on the unit circle.
Curated OER
Week in Review 3
In this advanced math worksheet, students calculate work, average value of a function, and integrate various functions with respect to x. There are 16 questions.
Curated OER
Properties of Trigonometric Functions
In this properties of trigonometric functions worksheet, students complete 4 sections consisting of 15 problems involving problem solving using Pythagorean and trigonometric identities and sketching functions..
Curated OER
Challenge Discussion Sheet 2
In this function worksheet, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this one-page...
Curated OER
Easy Worksheet: Limits
In this limits worksheet, students solve 4 short answer problems. Students find the limits of trig, linear, root, and rational functions as x approaches a specified value.
Curated OER
Challenge Discussion Sheet 10: Limits
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
Curated OER
Limits and Functions
In this function activity, students compute the limits of given functions, they use differentials to estimate quantities, they compute the change in functional value and determine an equation for a line tangent to a graph. This...