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...
1 In 1 Collection 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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I'm Lovin' It: Finding Area Between Curves

For Teachers 11th - Higher Ed Standards
Young scholars explore the concept of finding the area between two curves. For this finding the area between two curves instructional activity, students model the logos of McDonalds, Nike, and Motorola on grid paper. Young scholars find...
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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...
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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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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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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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Calculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals

For Students 10th - 12th
New ReviewLearning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...
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A.P. Calculus Integration Test

For Students 12th - Higher Ed
In this A.P. Calculus learning exercise, 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...
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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 plan, 12th graders decide what the best way is to find the shaded area between two curves using examples from previous lessons. They relate areas...
20:46
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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...
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Finding the Area Under A Curve with Random Probability

For Teachers 11th - Higher Ed
Learners explore the concept of area under a curve. In this area under a curve lesson plan, students find the area under a curve using the Monte Carlo method using random points and probability. Learners calculate the area under the same...
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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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2003 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...
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2005 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Differentiate between the exams. Using the Q&A document, teachers compare the free-response questions that BC test-takers see to those that AB test-takers see. The pupils see which questions come from AB content and also those that...
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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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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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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.
7:43
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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 Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 12th
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson plan, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
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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 instructional activity, 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. ...

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Area Between Curves