Midpoint Sum Teacher Resources

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For Teachers 9th - Higher Ed Standards
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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Riemann Sums

For Teachers 10th - 12th Standards
Students calculate the area under a curve. In this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
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Approximating Area Using Rectangles

For Students 11th - Higher Ed
Finding area using rectangles—isn't that a little too simplistic for a calculus course? Viewers learn how to approximate area under a curve using rectangles in the first installment of a seven-part video series on the definite integral....
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Integration Unit: Riemann Sum

For Teachers 11th - 12th Standards
Students investigate Riemann Sums. In this calculus lesson, students solve problems involving Riemann sums and Right Riemann Sums.
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Sum of Rectangle Areas to Approximate Integrals

For Teachers 11th - 12th
Students explore the concept of approximating integrals.  In this approximating integrals lesson plan, students approximate integrals by finding the area of rectangles.  Students use a graphing calculator to find the left, right, and...
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Riemann Sum Investigation

For Teachers 10th - 12th
Students investigate left, midpoint and right Riemann sums. In this calculus lesson, students use trapezoidal sums to approximate areas. They use the computer lab and GeoGebra.
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Simpson's Rule

For Students Higher Ed
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
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Riemann Rectangle Errors

For Teachers 9th - 12th Standards
Students 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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Basic Calculus II: Numerical Integration

For Students Higher Ed
In this numerical integration worksheet, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal rule.
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For Students 10th - 12th
For this acceleration worksheet, students determine the average acceleration of a rocket over a period of time. They determine the velocity of a rocket. This two-page worksheet contains three multi-step problems.
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Sherlock Holmes' Real Train Adventure

For Students 11th - 12th
In this calculus learning exercise, students use the trapezoid and Simpson's rule to calculate the midpoint sum. They use a specific interval to perform their integration. There are 12 questions.
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Area Under A Curve

For Teachers 9th - 11th
Calculus students 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 rules...
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Numerical Integration

For Students 11th - Higher Ed
In this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.

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Midpoint Sum