Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Interactive
Curated OER

Integration of Trigonometric Integrals

For Students 9th - 10th
In this trigonometry instructional activity, students use integration to solve for the six different trigonometric identities. They use indefinite integrals to solve problems. There are 27 questions with an answer key.
Worksheet
Curated OER

Trig Integration Review

For Students 9th - 12th
In this trigonometric functions worksheet, students find the integral of 8 trigonometric functions.  Students use trig properties to integrate each problem.
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Worksheet
Curated OER

The Inverse Trigonometric Functions

For Students 12th
In this Calculus worksheet, 12th graders determine the derivative of inverse trigonometric functions and determine integrals.  The one page worksheet contains seven problems.  Answers and solutions are provided. 
Interactive
Shodor Education Foundation

Function Flyer

For Students 8th - 12th Standards
Fly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.
Lesson Plan
West Contra Costa Unified School District

Graphing Exponential Functions

For Teachers 8th - 10th Standards
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
Lesson Plan
Curated OER

Powers of Trig Functions

For Teachers 10th - 11th
In this trigonometric worksheet, pupils solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
Unit Plan
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Mathematics Vision Project

Similarity and Right Triangle Trigonometry

For Teachers 10th - 12th Standards
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
Lesson Plan
Curated OER

Inverse Trigonometric Functions (Review)

For Teachers 11th - Higher Ed
Students discuss the importance of inverse functions and derivatives. For this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
Worksheet
Curated OER

Integrals Involving Trig. Functions

For Students 12th - Higher Ed
In this calculus learning exercise, student evaluate twenty-one integrals.  This learning exercise is designed as a test with multiple-choice as well as free response problems. 
Worksheet
Curated OER

Review Integration

For Students 11th - 12th
In this integration activity, students integrate 16 functions. Students take the integral of functions using partial fractions and uv substitution.
Lesson Plan
Curated OER

Computing Indefinite Integrals

For Teachers 11th - Higher Ed
Provide your learners with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
Worksheet
Curated OER

Integration of Functions

For Students 10th - 12th
In this calculus worksheet, students integrate given functions following the integration rules. They simplify their answers with trig. values. There are 8 questions with an answer key.
Worksheet
Curated OER

Even More Calculus

For Students 12th
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...
Worksheet
Curated OER

Twenty Various Multiple Choice and Free-response Indefinite Integrals

For Students 11th - Higher Ed
In this integrals worksheet, students integrate various indefinite integrals in six multiple choice and fourteen  free response problems.  These problems include: trigonometric functions, u substitutions, and Ln.
eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Activity
Curated OER

Task: Range of Motion

For Teachers 7th - 10th Standards
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. For this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
Worksheet
Curated OER

The Hyperbolic Sine and Cosine

For Students 11th - 12th
In this sine and cosine worksheet, students find derivatives and integrals of 6 functions.  Students find derivatives, indefinite integrals and the area between two curves.
Worksheet
Curated OER

Worksheet 7 - Double Integrals

For Students Higher Ed
In this double integrals worksheet, the students compute antiderivatives and evaluate double integrals. They compute the volume of a solid bounded by planes. This one-page worksheet contains three multi-step problems.
Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals instructional activity, students solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function....
Lesson Plan
Curated OER

Worksheet 31 - Doman & Range

For Teachers Higher Ed
In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...
Interactive
Shodor Education Foundation

Polar Coordinates

For Students 11th - Higher Ed Standards
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
Worksheet
Curated OER

Week in Review 3

For Students 11th - Higher Ed
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.