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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...
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Unit Plan
Mathematics Vision Project

Module 7: Trigonometric Functions, Equations, and Identities

For Students 10th - 12th Standards
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
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Worksheet
Curated OER

Trig Integration Review

For Students 9th - 12th
In this trigonometric functions learning exercise, students find the integral of 8 trigonometric functions.  Students use trig properties to integrate each problem.
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AP Test Prep16:14
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1
Flipped Math

Calculus AB/BC - Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation

For Students 10th - 12th
Calculus classes definitely need to learn about indefinite integrals. Individuals watch an informative video to learn the antiderivative rules for exponential, logarithmic, trigonometric, and inverse trigonometric functions. To solidify...
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Worksheet
Curated OER

The Inverse Trigonometric Functions

For Students 12th
In this Calculus learning exercise, 12th graders determine the derivative of inverse trigonometric functions and determine integrals.  The one page learning exercise contains seven problems.  Answers and solutions are provided. 
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Interactive
Curated OER

Integration of Trigonometric Integrals

For Students 9th - 10th
In this trigonometry worksheet, 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.
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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.
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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.
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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 multiplication....
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Worksheet
Curated OER

Integrals Involving Trig. Functions

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

Computing Indefinite Integrals

For Teachers 11th - Higher Ed
Provide your students 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...
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Worksheet
Curated OER

Twenty Various Multiple Choice and Free-response Indefinite Integrals

For Students 11th - Higher Ed
In this integrals learning exercise, students integrate various indefinite integrals in six multiple choice and fourteen  free response problems.  These problems include: trigonometric functions, u substitutions, and Ln.
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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 topic,...
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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.
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Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals activity, learners 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. They also...
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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.
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Lesson Plan
Curated OER

Integrals involving Trig Substitution

For Teachers 11th - 12th
Young scholars define integrals and list the trig values. In this calculus instructional activity, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
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Worksheet
Curated OER

Lab 4: Integration by Substitution

For Students Higher Ed
In this integration worksheet, students transform antiderivatives and integrals by using substitution functions. They sketch graphs of two antiderivatives and describe their relationship. Students use trigonometric identities to find the...
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Lesson Plan
Curated OER

Powers of Trig Functions

For Teachers 10th - 11th
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
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Lesson Plan
Curated OER

Graphing Trigonometric Functions

For Teachers 11th - 12th
The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.
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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.
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Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
For this evaluate integrals worksheet, learners solve and complete 10 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students substitute and use integral formulas for sine functions....
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Worksheet
Curated OER

Integration Strategies

For Students 11th - Higher Ed
In this integration worksheet, learners determine the best technique of integration to use. They evaluate given integrals. This one page worksheet contains nine multi-step problems.
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Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals instructional activity, students solve and complete 30 various types of problems. First, they use the trigonometric identity to rewrite the integrals. Then, students substitute and use integral formulas for...