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Discussion Sheet 9: Volume and Area
In this volume and area worksheet, learners find the volume and area of three-dimensional figures. They consider regions bounded by graphs, use integration to derive a formula, and use the disc and shell methods for volume. This...
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Parallelepiped Figures
In this parallelepiped figures worksheet, students problem solve and calculate the measurements of ten parallelepiped three-dimensional figures involving volume.
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Average Value of Functions
In this integrals and average value activity, students problem solve thirty equations or word problems involving average value of functions, volume and integrals.
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Volume of 3-D Figures
In this volume activity, students compute the volume of 3-D figures bounded by graphs. They identify a solid formed by rotation about a given line. Students use the Disc Method and the Shell Method to make their computations. This...
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Surface Area and Volume
In this surface area worksheet, students determine the surface area of a rectangular box given the volume. They graph hyperbolas and calculate the dimensions of a cone. This two-page worksheet contains three problems.
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Worksheet 14: Velocity & Surface Area
In this velocity worksheet, students solve rate and velocity problems. They read story problems, determine necessary information, write equations and solve rate, volume and area problems. This three-page worksheet contains twelve...
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Worksheet 13: Story Problems: Volume, Velocity & Area
In this story problem instructional activity, students read story problems, determine necessary information, and write equations. Students compute volume, surface area, velocity, and graph functions. This two-page instructional...
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Worksheet 14: Integrals
In this integral instructional activity, students evaluate integrals and determine the volume of given polygons bounded by graphs. This three-page instructional activity contains approximately twenty multi-step problems.
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Challenge Sheet 4: Integration
In this integration worksheet, students use any method to integrate problems. They determine the volume of symmetrical pyramids, spheres and cylinders. This one-page worksheet contains seventeen problems.
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Earth's Atmosphere II
In this Earth's atmosphere learning exercise, students use the chart shown to determine which information is given for each gas. Then they write the names of the layers of the Earth's atmosphere and describe which layer the temperature...
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Supplemental Algebra Problems
In this volume worksheet, students compute the volume of geometric shapes. Each problem is an application (or word) problem. Students are given the appropriate formula and dimensions of the shape. Two problems ask about surface area.
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Worksheet 8: Absolute Percentage Error
In this absolute percentage error worksheet, students estimate the maximum absolute error in computing the volume and area of a cube or a sphere. They use differentials to estimate the value of roots. This one-page worksheet contains...
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Challenge Discussion Sheet 2
In this function worksheet, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this one-page...
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Worksheet 7 - Double Integrals
In this double integrals worksheet, the students compute antiderivatives and evaluate double integrals. They compute the volume of a solid bounded by planes. This one-page worksheet contains three multi-step problems.
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Worksheet 8 - Double Integrals
For this double integral worksheet, students compute the antiderivatives, explore the order of integration, and determine the double integrals of given functions. They sketch the volume of a solid represented by double integrals. This...
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Discussion Sheet 2: Domain and Range
In this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains...
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The Pyramid: Estimating Volumes
In this estimating volumes learning exercise, students determine the area and volume of pyramids. They draw a cross-section of the pyramid. This four-page learning exercise contains approximately 20 problems.
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Discussion Sheet 6
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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Volumes of Solids of Revolution
In this volumes of solids worksheet, students determine the volume of a solid of revolution by using the disk/washer method or the shell method. Explanations and examples are given prior to the exercise. This one-page worksheet contains...
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Worksheet 23 - Fall 1995
In this math instructional activity, students examine the measurements of a Pizza Hut box. Then they draw out the box and answer questions about its volume.
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Worksheet 5
In this math worksheet, 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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Metric System Challenge
In this measurement worksheet, students complete each of the statements with the correct word related to the metric system. Then they match each letter marked with a number to those at the bottom of the sheet to complete the answer to...
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Density Lab
In this biology instructional activity, students use the website given to become familiar with the equipment of a lab. The activity involves a link to a virtual laboratory. Then they determine an objects mass and volume by placing it in...
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Boyle's Law
In this chemistry worksheet, students identify and explain what Boyle's Law is and what it changes. Then they describe Charles' Law and how the temperature of gas changes so does the volume.