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Riemann Sums
Mathematicians use their calculators to investigate Riemann sums. Your learners will explore the relationship between the limit of two Riemann sums and the definite integral of the function.
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Riemann Sums
Students calculate the area under a curve. In this calculus lesson plan, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
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Worksheet 31 - Infinite Sum
In this infinite sum worksheet, students identify an infinite geometric series, and use the Riemann sum. This one-page worksheet contains 6 multi-step problems.
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Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Integration Unit: Riemann Sum
Learners investigate Riemann Sums. In this calculus instructional activity, students solve problems involving Riemann sums and Right Riemann Sums.
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Lesson #110 Volumes of Solids of Revolution (Disk Method)
Students examine volumes of solids of revolution. In this volumes of solids of revolution lesson, students use the limit of a Riemann sum to find the volumes of disks or cylinders and a sphere.
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Lesson #94 Exact Area Under a Curve
Young scholars research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
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Riemann Rectangle Errors
High schoolers calculate the area under a curve. In this calculus lesson, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
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Area Under A Curve
Calculus young scholars use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal...
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Test on Section 6.1-6.6
Learners apply their knowledge of integration on this test. In this calculus lesson, students answer question about, riemann sums, integrals and calculate area under a curve. This lesson review these concepts and includes a test for the...
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Roller Coaster Robot
Young scholars calculate the area under a curve. In this calculus lesson plan, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
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Lesson #94 Exact Area Under A Curve
Students examine diagrams to determine the exact area under a curve. Using given formulas, they identify the area of the curve using the x and y-axis, as well as rectangles. As a class, students sing a song called "Failing My Calculus"...
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Numerical Methods of Integration
Students review Riemann Sums with rectangles, used to approximate the area under a curve. They listen as the teacher introduces the Trapezoidal Rule to approximate the area under a curve. Students use Simpson's Rule to find the area...
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Volumes of Solids of Revolution (Shell Method)
Students find the volume of solids and disks. In this finding the volume of solids and disks lesson, students find the volume using the washer, disk, and shell method. Students integrate functions in terms of x and y. Students use...