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Worksheet
Curated OER

Setting Up Definite Integrals Using Local Approximations First

For Students 11th - Higher Ed
In this math worksheet, students practice solving the problems concerning the use of integrals. They focus upon using local approximations first for the word problems.
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Worksheet
Curated OER

Math 155 Review Worksheet 10

For Students Higher Ed
In this college level Calculus learning exercise, students evaluate indefinite and definite integrals.  The two page learning exercise contains eight problems.  Answers are not included. 
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Worksheet
Curated OER

Integral Worksheet

For Students Higher Ed
In this college level calculus worksheet, students evaluate the given definite integrals.  The three page worksheet contains eight problems.  Solutions are not provided. 
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AP Test Prep
College Board

2006 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...
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AP Test Prep
College Board

2005 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop an awareness of the exam. Pupils and teachers use the six release free-response questions to see how the exam covers topics. The questions are divided among calculator and non-calculator items. Scholars see the importance of...
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AP Test Prep
College Board

2008 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Get the most out of released items. Teachers use the included materials to learn about test-takers' performance on released free-response questions. Pupils respond to the questions and compare their responses to sample scored responses...
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AP Test Prep
College Board

2005 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Differentiate between the exams. Using the Q&A document, teachers compare the free-response questions that BC test-takers see to those that AB test-takers see. The pupils see which questions come from AB content and also those that...
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AP Test Prep
College Board

2001 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...
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Worksheet
Curated OER

Integration Computations

For Students Higher Ed
In this college level Calculus worksheet, students evaluate indefinite and definite integrals. The two page worksheet contains ten problems. Answers are not provided. 
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Interactive
CK-12 Foundation

Work and Force: Lifting a Bucket

For Students 11th - Higher Ed
How much work does it take to lift a bucket? An interactive presents a problem of lifting a bucket from the ground to the top of a building. Using their knowledge about work and integrals, pupils calculate the amount of work required to...
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Interactive
CK-12 Foundation

Volume by Cross Section: Volume of the Cone

For Students 11th - Higher Ed
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
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Worksheet
Curated OER

Multivariable Calculus: Multiple Integration

For Students Higher Ed
In this multiple integration instructional activity, students define coordinate rectangle, explore what it means to be "bounded on a set," and define the Riemann integral. They find the volume of a graph with specified boundaries and...
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Lesson Plan
Curated OER

Piecewise Linear Integral

For Teachers 9th - 12th Standards
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
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Lesson Plan
Curated OER

Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Lesson Plan
Curated OER

Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 11th - 12th
Students explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
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Lesson Plan
Curated OER

The Second Fundamental Theorem of Calculus

For Teachers 10th - 12th Standards
Students investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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Lesson Plan
Curated OER

The First Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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Worksheet
Curated OER

Calculus Exam

For Students 11th
In In this calculus worksheet, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the worksheet.
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Worksheet
Curated OER

Barehands Integration

For Students 11th - 12th
In this calculus learning exercise, students use integration to calculate the solution of functions. They use the correct notation and formula to calculate where the derivative is constant. There are 10 questions.
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Worksheet
Curated OER

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

For Students 12th - Higher Ed
In 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.
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Worksheet
Curated OER

Timed Caluculus Exam

For Students 10th
In this Calculus activity, 10th graders have 45 minuets to solve 6 multi-step problems involving velocity, integrals, and graphing.
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Worksheet
Curated OER

A.P. Calculus BC Section II, Part A and Part B

For Students 12th - Higher Ed
For this A.P. Calculus BC worksheet. learners solve six practice problems.  A graphing calculator is required on the first three questions and not allowed on the next three.  Directions are provided.
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Worksheet
Curated OER

Numerical Integration

For Students 11th - Higher Ed
In this math activity, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
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Worksheet
Curated OER

Complex Analysis: Residues and Real Integrals

For Students Higher Ed
In this integral worksheet, students evaluate contour integrals and real integrals. This two-page worksheet contains approximately three problems. Some explanations and definitions are provided.