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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...
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Lesson Plan
Curated OER

Integration Involving Inverse Trig Functions

For Teachers 12th - Higher Ed
Students review the steps for integration and solve equations using integration by parts. In this calculus lesson, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
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Worksheet
Curated OER

The Hyperbolic Sine and Cosine

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

Integrating Functions

For Students 6th - 8th
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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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.
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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...
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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...
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Lesson Plan
Curated OER

Integrated Algebra: State Exam

For Teachers 10th - 12th
In this integrated algebra worksheet, students solve problems related to topics covered in algebra for the entire year.  Topics include, but are not limited to, inequalities, probability, functions, interval notation, exploring graphs,...
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Worksheet
Curated OER

A.P. Calculus Test Covering Limits, Derivatives, and Integrals

For Students 12th - Higher Ed
In this calculus instructional activity, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals.  Students should have covered trig limits prior to this instructional...
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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...
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Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals worksheet, students solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...
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Worksheet
Curated OER

Integration of Functions

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

Integration

For Students Higher Ed
For this college level calculus worksheet, students evaluate the given integrals.  Problems include trigonometric and logarithmic functions.   The two page worksheet contains twenty-six problems.  Answers are not included. 
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Lesson Plan
Curated OER

Integrals with Even Powers of Sine and Cosine

For Teachers 11th - 12th
Students discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...
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Worksheet
Curated OER

Making Choices

For Students Higher Ed
In this making choices learning exercise, students find the integral of given problems. This one-page, hand-written, learning exercise contains 52 problems.
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eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
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AP Test Prep
College Board

2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
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...
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AP Test Prep
College Board

2002 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
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...
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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. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
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Worksheet
Curated OER

Worksheet 4 - Math 126: Sketching Polar Equations

For Students 9th - 12th
In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.
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Lesson Plan
Curated OER

The Exact Differential

For Teachers 11th - 12th
Young scholars integrate functions using u substitution.  In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du.  Young scholars...
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Worksheet
Curated OER

Precalculus Exam

For Students 11th - 12th
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Worksheet
Curated OER

Silly Sammie Seal

For Students 9th - 11th
In this seal worksheet, students match deratives and intervals to their answer.  They match equivalent problems.  This one-page worksheet contains 22 problems.