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Worksheet 12: Area of Regions
In this area of regions worksheet, students find the area of regions bounded by graphs. They evaluate integrals for the volume of solids and integrate functions. This three-page worksheet contains approximately 25 problems. This is a...
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Measurement
Students identify and categorize different problem situations or contexts using one of four measurements to solve the problem. Through guided and independent practice, they discover ways to determine which measurement to use when...
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Lakes of Methane on Titan
In this methane lakes worksheet, students read about the false-color synthetic radar map taken by the Cassini spacecraft indicating methane lakes on Titan. Students solve 4 problems about the surface area of the lakes from the image, and...
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Communicative Choices & Linguistic Style
Start by watching a video entitled Do You Speak American? and respond to discussion questions about the various dialects showcased throughout the video to identify the regional linguistic styles throughout America. As a culminating...
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Rectangular Gardens Within A Given Perimeter
Sixth graders design rectangular gardens with a given perimeter and generalize how to maximize the area Students applying the formulas for perimeter and area of polygons. They analyze length, area, and volume and make relationships...
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Little Auk Survival Challenge
A bird's life is one of danger and intrigue as it struggles for survival in sometimes harsh environments. To understand how difficult surviving in the wild can be, children play a simulation game where they act as little auks, birds from...
National Energy Education Development Project
Introduction to Hydrogen
Every region has a renewable resource that can be used to make hydrogen. But, what is hydrogen and why can it be used as an energy source? Find out with a presentation that answers these questions and then discusses where hydrogen is...
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Graphing systems of inequalities
In this graphing worksheet, students graph ten systems of inequalities. Students are then asked to find the area of the regions. A challenge problem is included. where students are asked to find the volume of the resulting solid.
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AP Calculus Practice Exam
For this Calculus worksheet, 12th graders are provided with practice problems for their exam. Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. The four...
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AP Calculus Practice Exam
In this Calculus worksheet, students are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of revolution. ...
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Discussion Sheet 10: Improper Integrals
In this improper integral activity, students compute improper integrals, they determine finite improper integrals, and find the area of a region bounded by graphs. Students compute the arc length of a curve on the indicated interval. ...
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Worksheet 29 - Integrals
In this integral worksheet, students evaluate definite integrals and sketch regions of integration. This one-page worksheet contains 10 multi-step problems.
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Worksheet 30 - Definite Integrals
In this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.
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Worksheet 36-Spring 1996
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
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Spitzer Sees a New Ring Around Saturn
In this Saturn's rings activity, students read about the Spitzer telescope that detected a new ring around Saturn. Students solve 6 problems including determining the formula for the area of a circle, finding the volume of the new ring...
NASA
Lunar Plant Growth Chamber
Would astronauts be able to grow their food on the Moon? Teams research plant growth in order to design and build a growth chamber that will function on the lunar surface. They narrow down plant choices based upon their strengths and...
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A Mathematical Model of the Sun
In this mathematical model of the sun worksheet, students read about the way scientists use the sun's radius and mass to determine a mathematical model of the sun using the volume of a sphere, and the relationship between density, volume...
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The Mass of the Van Allen Radiation Belts
In this van Allen Radiation Belts learning exercise, students are given the formula for the field line of the Earth's inner magnetic field. Students use this equation to find the polar coordinates of a field line in the van Allen Belts....
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Calculus Test: Integral
In this integral activity, learners determine the area of a region bounded by given lines. They compute the volume of a solid in a specified region. This two-page activity contains 10 multi-step problems.
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NASA Juggles Four Satellites at Once
In this NASA satellites activity, students read about the Magnetosphere Multi-Scale satellite constellation that NASA will launch in 2013. They solve 4 problems including finding the volume of the MMS constellation, finding how long it...
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Trig and sine and cosine
In this trigonometric worksheet, students sketch given curves and calculate the area of the curve. They find the volume of solids. There are 3 questions.
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Hinode Studies Loopy Sunspots!
In this sunspots and magnetic fields worksheet, learners read about the satellite images taken showing 'loopy' patterns from solar gases and the magnetic fields on the sun. Students solve 2 problems including finding the volume of a...
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Area of Curve
In this calculus activity, students calculate the area of a curve bounded between two regions. There are 2 questions asking for the area and length of a curve.
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The Moon's Density-What's Inside?
In this moon's density worksheet, students solve 4 problems about the Moon and a model planet. They find the Moon's density and they find its volume. They make a model of a planet's interior and use its mass and radius to find the...