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Worksheet
Curated OER

Volumes Disks and Shells

For Students 11th - 12th
In this calculus worksheet, learners calculate the volume using the Disk and Shell method. There are 6 problems asking for the rotation around the x and y axis.
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Worksheet
Curated OER

AP Calculus Practice Exam: BC Version - Part A

For Students 11th - 12th
In this calculus activity, 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 worksheet, 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 worksheet...
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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 activity, 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 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

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 activity, students 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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Worksheet
Curated OER

Mini Exam on Calculus

For Students 11th - 12th
In 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

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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Worksheet
Curated OER

Calculus Review

For Students 11th - 12th
In this calculus worksheet, students figure out the volume of an area under the curve rotated about the x and y axis. There are 2 questions on this worksheet with various sub-section.
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Worksheet
Curated OER

AP Calculus Test

For Students 12th
In this calculus worksheet, 12th graders answer questions about functions and trigonometric functions. There are 21 questions on this worksheet.
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Worksheet
Curated OER

AP Calculus Practice Exam 2008

For Students 11th - 12th
In this calculus practice exam activity, learners solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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Assessment
Mathematics Assessment Project

Bestsize Cans

For Students 9th - 11th Standards
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus required.
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Lesson Plan
Curated OER

Disc/Washer Method

For Teachers 8th - 10th
Young scholars calculate the volume of solids. In this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create sections...
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Worksheet
Curated OER

Worksheet 5

For Students 11th - Higher Ed
In this math instructional activity, students describe how to define surface area given a variety of situations from word problems. They solve for the volume using calculus.
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Lesson Plan
Curated OER

the Max And Min of a Capt'n Crunch Box

For Teachers 8th - 10th
Students use knowledge of area and volume to explore minimum and maximum. They create models and determine a "best" shape for getting the maximum volume or minimum area.
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Worksheet
Curated OER

Discussion Sheet 6

For Students 11th - Higher Ed
In this math worksheet, students discuss the use of triple integrals and explore the volumes. Then they determine the volume of the donut.
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Worksheet
Curated OER

Multivariable Calculus/ Bonus Quiz 10

For Students 11th - Higher Ed
In this math worksheet, learners investigate the calculus concept of multiple integration in the form of a quiz. They find the correct value for each integration.
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Lesson Plan
Curated OER

Wind, Pressure, Force, Calculus and Engineering Connections

For Teachers 12th
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.