Area Between Curves Teacher Resources

Find Area Between Curves lesson plans and worksheets
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Area Between Curves: Income and Expenses

For Students 11th - Higher Ed
Use the area of polygons to calculate the area between curves. Pupils calculate areas under income and expense curves by filling the space with squares and right triangles. Using that information, they determine the profit related to the...
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I'm Lovin' It: Finding Area Between Curves

For Teachers 11th - Higher Ed Standards
Students explore the concept of finding the area between two curves. In this finding the area between two curves instructional activity, students model the logos of McDonalds, Nike, and Motorola on grid paper. Students find functions to...
8:18
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Areas Between Curves

For Students 11th - Higher Ed
There are times that it is necessary to add areas to find the area between the curves. The video for AP Calculus presents how to find the area between curves by subtracting the area under the lower curve from the area under the upper...
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The Region Between Two Curves

For Teachers 11th - 12th
Students find the area between two curves.  In this area between two curves lesson, students find the area between the sine and cosine functions.  Students find the volume of the region when it is rotated around the x-axis.  Students...
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Definite Integrals and Area Under a Curve

For Teachers 11th - Higher Ed
Students explore the concept of definite integrals.  In this definite integrals lesson, students find the area between two curves.  Students use the Ti-Nspire to find the definite integrals of curves such as sine and cosine.
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A.P. Calculus Integration Test

For Students 12th - Higher Ed
In this A.P. Calculus activity, students complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields.  Some of the problems are multiple choice, while others are...
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Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Areas Between the Curves

For Students 8th - 9th
In this algebra instructional activity, students solve and complete 12 problems involving sine, cosine, area and function.
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AP Calculus Practice Exam BC Version: Part B

For Students 11th - 12th
In this calculus learning exercise, 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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Area and Volume

For Students 11th - Higher Ed
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
20:45
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Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8

For Students 11th - Higher Ed
Integrate a great resource into your lesson plans. The eighth video in an 11-part series explains integration and the relationship between derivatives and integrals. The relationship between a car's velocity and its travel distance helps...
7:42
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Calculus, What Is It Good For?

For Students 11th - Higher Ed
Explore the meaning of differentiation and integration. A video lesson describes in detail what differentiating and integrating an equation means using the momentum and kinetic energy formulas. Progressing from a linear to a quadratic...
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The Region Between Two Curves

For Teachers 9th - 12th Standards
Learners find the area of a region between two curves. They integrate functions such as sin(x) and cos(x) on a given interval and find the area bounded by the two functions. Pupils use their TI-89 to aid them in finding the bounded...
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Final Exam Review 1325: Calculus

For Students 10th - 12th
In this exam review worksheet, students find the limits of given problems.  They identify the slope of a line tangent to a function.  Students find the derivative of a function.  They determine the area between two curves.  This...
6:49
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Optimization: Maximum Area

For Students 11th - Higher Ed
Viewers discover how to apply derivatives to determine dimensions that maximize area with a video that presents a problem that asks for the maximum area of a rectangle inscribed in a circle with radius (r). The instructor demonstrates...
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AP Calculus Practice Exam

For Students 12th
In 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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Area Between the Curves-The Game

For Teachers 12th
Twelfth graders explore the area between two curves.  In the Calculus lesson, 12th graders play a game in which paired students pick a function, and then predict the area between the two curves, without knowing the other person’s...
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Calculus Test

For Students 11th - Higher Ed
In this calculus activity, learners integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
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Area of Curve

For Students 11th - 12th
In this calculus worksheet, 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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Area Between Two Curves

For Teachers 12th
Twelfth graders identify and find the area between two curves. In this calculus lesson, 12th graders decide what the best way is to find the shaded area between two curves using examples from previous lessons. They relate areas between...
7:54
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Properties of the Definite Integral

For Students 11th - Higher Ed
What are the properties that can be associated with the definite integral? The AP Calculus video lists nine properties of the definite integral and provides explanations of why the properties hold for integrals in language that is simple...
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Finding the Area Under A Curve with Random Probability

For Teachers 11th - Higher Ed
Young scholars explore the concept of area under a curve. In this area under a curve lesson, students find the area under a curve using the Monte Carlo method using random points and probability. Young scholars calculate the area under...
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2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
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2002 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Where do the questions come from? Individuals examine released items and see the topics included. Teachers use the materials to see the distribution between strictly BC content and that which is shared with AB. The 2002 Calculus BC is...

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Area Between Curves