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...
Lesson Plan
Curated OER

Integrals involving Trig Substitution

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

Lab 4: Integration by Substitution

For Students Higher Ed
For 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...
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.
Worksheet
Curated OER

Integration Strategies

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

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals worksheet, students 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....
Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals worksheet, 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 sine function.
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...
Lesson Plan
Curated OER

Integration Involving Inverse Trig Functions

For Teachers 12th - Higher Ed
Young scholars 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. Young scholars review their trig and inverse...
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.
Worksheet
Curated OER

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

For Students 12th - Higher Ed
For this calculus worksheet, 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 worksheet.
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...
Lesson Plan
Curated OER

Integrated Algebra: State Exam

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

Making Choices

For Students Higher Ed
In this making choices worksheet, students find the integral of given problems. This one-page, hand-written, worksheet contains 52 problems.
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. 
Lesson Plan
Curated OER

Newton's Laws of Motion

For Teachers 11th - 12th
Students investigate the effect of thin films to surface friction. In this physics instructional activity, students calculate the coefficient of friction using mathematical formulas. They discuss its importance in their everyday lives.
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.
Interactive
Curated OER

Review of Calculus BC II

For Students 11th - 12th
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page...
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...
Lesson Plan
Curated OER

The Exact Differential

For Teachers 11th - 12th
Learners 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.  Learners...
Lesson Plan
Curated OER

Pilots, Airplanes, and the Tangent of Three Degrees

For Teachers 9th - 12th
Students explore how to use trigonometry in the aviation field.  In this aviation instructional activity students complete trigonometry equations that show what planes should do to land their airplanes.
Lesson Plan
Curated OER

Exploring Function Graphs

For Teachers 10th
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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.
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.