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Worksheet
Curated OER

Estimating he Value of a Definite Integral

For Students Higher Ed
In this definite integral worksheet, 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

Simpson's Rule

For Students Higher Ed
In this integral worksheet, students use the Simpsons's Rule for evaluating integrals. They use different methods to calculate integrals and compare the results. This eight-page worksheet contains approximately 16 multi-step problems.
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Worksheet
Curated OER

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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Worksheet
Curated OER

Trapezoid Rule, Simpson's Rule, Midpoint Rule

For Students 11th - Higher Ed
In this math instructional activity, students practice using the rules of Trapezoid, Simpson, and Midpoint. Then they practice using the rules and justify the solutions.
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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
Interactive Mathematics

Interactive Mathematics: Simpson's Rule

For Students 9th - 10th
This tutorial gives an explanation of Simpson's Rule. It includes examples and answers.
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Handout
Wolfram Research

Wolfram Math World: Simpson'e 3/8 Rule

For Students 9th - 10th
This MathWorld site presents a modification of Simpson's Rule called Simpson'e 3/8 Rule.
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Activity
Texas Instruments

Texas Instruments: Programming to Find Area Under a Curve

For Teachers 9th - 10th
Students will learn how to program the TI 83/84 Plus graphing calculator to approximate the area under a curve using Left,Right,Midpoint Riemann Sums, and Trapezoid Rule, and Simpson's 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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Unit Plan
TED Talks

Ted: Ted Ed: How Statistics Can Be Misleading

For Students 9th - 10th
Statistics are persuasive. So much so that people, organizations, and whole countries base some of their most important decisions on organized data. But any set of statistics might have something lurking inside it that can turn the...
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Handout
Wolfram Research

Wolfram Math World: Simpson's Rule

For Students 9th - 10th
This is a comprehensive site from MathWorld.com explaining Simpson's Rule with links to related topics.
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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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Activity
Other

Numerical Integration: Simpson's Rule

For Students 9th - 10th
This site gives a description of Simpson's Rule. It includes formulas, examples, and graphs. There are also links to further information.
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Activity
Interactive Mathematics

Interactive Mathematics: Simpson's Rule

For Students 9th - 10th
Using parabolas to determine the area under a curve proves to be better estimate then other methods. This demonstration of Simpson's Rule allows the student to see just how accurate this approximation can be.