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Worksheet
Curated OER

AP Calculus Practice Exam: BC Version - Part A

For Students 11th - 12th
In this calculus worksheet, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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Interactive
Curated OER

Yoplait with Areas and Volumes

For Students 9th - 12th
In this areas and volumes activity, students find the area of truncated cones and elliptical cylinders.  They find the area by using one of three methods:  the disk method, the shell method, and using geometry.  This one-page activity...
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Worksheet
Curated OER

Dorothy and Kansas: A Volume Problem

For Students 10th
This worksheet contains 1 Algebra II scenario where students must determine the volume of a tornado, Kansas, and the space needed to take all of Kansas to OZ. Full explanation with equations are included.
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Worksheet
Curated OER

Easy Worksheet: Maximizing Volume

For Students 9th - 12th
In this maximizing volume worksheet, students solve 4 short answer problems. Students find the maximum area of a rectangle, volume of a box, and height of an object. Students determine the time at which the object in motion reaches its...
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Worksheet
Curated OER

Calculus Exam

For Students 11th
In In this calculus instructional activity, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the instructional activity.
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AP Test Prep12:48
1
1
Flipped Math

Calculus AB/BC - Introduction to Optimization Problems

For Students 10th - 12th
Let's get the equation set. Pupils see the importance of setting up an one-variable equation in the first of two lessons on optimization problems. The presenter works four different types of problems before individuals use the included...
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Interactive
Curated OER

Minimize Surface Area of a Cylinder Given the Volume

For Students 11th - Higher Ed
In this cylinder worksheet, learners minimize the surface area given a set volume.  Students supply the height and radius of the can with the smallest surface area.
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Worksheet
Curated OER

AP Calculus Test Chapter 7

For Students 12th
In this calculus worksheet, 12th graders determine the areas bounded by curves and the volume of the solids of revolution. The two page worksheet contains a combination of ten multiple choice and free response questions and is to be used...
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Worksheet
Curated OER

Calculus Practice BC

For Students 12th - Higher Ed
In this calculus worksheet, students solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
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Lesson Plan
Curated OER

Volumes of Solids and Revolution

For Teachers 12th - Higher Ed
Students find the volume under a curve using the washer method. In this calculus lesson, students investigate solids and calculate the volume of an object rotation using the washer method. They investigate solids that rotate around x and...
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 12th - Higher Ed
In this calculus worksheet, learners calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
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Worksheet
Curated OER

AP Calculus Practice Exam BC Version: Part B

For Students 11th - 12th
In this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
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AP Test Prep
College Board

Try This! Calculus Teaching Tips

For Teachers 10th - 12th
It's important to spice up your lessons. An online article discusses teaching strategies for AP® Calculus. In-class activities include matching games, placemats, multiple choice questions, scripted discussion, involuntary discussion,...
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Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 1)

For Students 10th - 12th Standards
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
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AP Test Prep
College Board

2006 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Go a little deeper. Learners use the released 2006 AP® Calculus BC free-response questions to review for the BC test, which covers content from Calculus AB and Calculus BC. Topics include volumes of revolution, particle motion,...
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AP Test Prep
College Board

1998 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a peek into the exam. Released items from the Calculus AB exam provide pupils insight into how questions appear on the exam. The six questions range from finding the area under a curve and the volume of the revolution to working...
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Lesson Plan
Curated OER

The Calculus Whiz Who Owned a Box Company

For Teachers 10th - 12th
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
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Worksheet
Curated OER

Mini Exam on Calculus

For Students 11th - 12th
For this calculus worksheet, students differentiate equations and calculate rate of change. They find the area and volume under a curve. There are 18 questions on this test.
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Worksheet
Curated OER

Calculus Review Worksheet

For Students 10th - 12th
In order to review calculus skills, mathematicians read story problems regarding area, change of rate, volume, and distance. They determine rates per minute, per second, and miles per hour from given information. This two-page...
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Worksheet
Curated OER

Determining Maximum Volume of an Open Box

For Students 10th
In this geometry worksheet, 10th graders calculate the maximum volume of a box constructed from a sheet of paper. The one page worksheet contains one problem with step-by-step calculator directions. Solution is not provided.      
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Interactive
CK-12 Foundation

Absolute Extrema and Optimization: Building the Biggest Box

For Students 11th - Higher Ed
Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...
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Interactive
CK-12 Foundation

Method of Cylindrical Shells

For Students 11th - Higher Ed
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
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Interactive
CK-12 Foundation

Linear, Quadratic, and Cubic Models: The Box Model

For Students 10th - 12th Standards
Models make math manageable. Individuals investigate a cubic function that models the volume of a cube through the interactive.