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Mathematics Vision Project
Module 6: Trigonometric Functions
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...
Curated OER
Integration of Trigonometric Integrals
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.
Curated OER
Trig Integration Review
In this trigonometric functions worksheet, students find the integral of 8 trigonometric functions. Students use trig properties to integrate each problem.
Mathematics Vision Project
Module 7: Modeling with Functions
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...
Curated OER
The Inverse Trigonometric Functions
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.
Shodor Education Foundation
Function Flyer
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.
West Contra Costa Unified School District
Graphing Exponential Functions
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.
Curated OER
Powers of Trig Functions
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.
Mathematics Vision Project
Similarity and Right Triangle Trigonometry
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...
Curated OER
Inverse Trigonometric Functions (Review)
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.
Curated OER
Integrals Involving Trig. Functions
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.
Curated OER
Review Integration
In this integration activity, students integrate 16 functions. Students take the integral of functions using partial fractions and uv substitution.
Curated OER
Computing Indefinite Integrals
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...
Curated OER
Integration of Functions
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.
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...
Curated OER
Twenty Various Multiple Choice and Free-response Indefinite Integrals
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.
Rice University
Calculus Volume 1
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...
Curated OER
Task: Range of Motion
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...
Curated OER
The Hyperbolic Sine and Cosine
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.
Curated OER
Worksheet 7 - Double Integrals
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.
Curated OER
Evaluate Integrals
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....
Curated OER
Worksheet 31 - Doman & Range
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...
Shodor Education Foundation
Polar Coordinates
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...
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.