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Worksheet
Curated OER

Estimating he Value of a Definite Integral

For Students Higher Ed
In this definite integral activity, students solve three integrals for a defined value. They use the midpoint, trapezoidal, and Simpson's rules each one time to estimate the value of a definite integral.
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Worksheet
Curated OER

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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Worksheet
Curated OER

Exploration 4: Definite Integrals by Trapezoidal Rule

For Students 10th - 12th
In this integral worksheet, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...
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Lesson Plan
Curated OER

Numerical Methods of Integration

For Teachers 11th - 12th
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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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Integrals

For Students 9th - 10th
Hotmath provides 24 practice problems dealing with integrals. Each of the practice problems include a step-by-step guide for finding or evaluating the integral.
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Activity
Texas Instruments

Texas Instruments: Numerical Integration

For Teachers 9th - 10th
This learning check activity tests students understanding of the Trapezoidal Rule, Simpson's Rule, and the Midpoint Rule.
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Activity
Interactive Mathematics

Interactive Mathematics: Integration

For Students 9th - 10th
This lesson puts integration to work. Lessons include integral, derivatives, antiderivatives, and indefinite integrals. The Trapezoidal and Simpson's Rules are highlighted. The examples are enhanced using Live, Math and Scientific...
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Handout
Wolfram Research

Wolfram Math World: Trapezoidal Rule

For Students 9th - 10th
This site from MathWorld.com give a formula for a two point trapezoidal approximation for the area under a curve.
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Interactive
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Numerical Integration Utility

For Students 9th - 10th
The integration tool integrates and graphs functions that student enter into the tool. The tool uses the trapezoidal rule, Riemann sums, and Simpson rule to integrate the function.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Graphing Calculator Programs

For Students 9th - 10th
The resource is a graphing calculator program used for numerical integration. The program uses trapezoid and Simpson approximations. Instructions on how to use the programs are included.
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Handout
eFunda

Numerical Integration: Newton Cotes Formulas

For Students 9th - 10th Standards
Good site explaining the various methods for numerical integration.
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Activity
Interactive Mathematics

Interactive Mathematics: Trapezoidal Rule

For Students 9th - 10th
Using trapezoids, the area under a curve can be determined. The Trapezoid rule is demonstrated to show exactly how that can be accomplished.