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Jim Noble, Richard Wade & Oliver Bowles

Pyramid Model

For Teachers 8th - 12th Standards
Seeking to derive the formula for the volume of a square pyramid, geometry learners construct six square based pyramids that, when pieced together properly, form a cube. Two short videos demonstrate the relationship...
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Mrs. Burke's Math Page

Let Them Eat Pi

For Teachers 7th - 12th Standards
Looking for a fun and creative way to celebrate Pi Day? Then this is the resource for you. From a scavenger hunt and trivia contest to PowerPoint presentations and skills practice worksheets, this collection of materials is a...
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American Chemical Society

The Energy of Evaporation

For Teachers 9th - 12th Standards
Do all liquids evaporate at the same rate? Young scientists observe the evaporation rate of three different liquids. They measure the time, the temperature, and the change in energy. After comparing the chemical formulas, scholars...
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Houston Area Calculus Teachers

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...
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Curated OER

Task: Grain Storage

For Teachers 7th - 10th Standards
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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Curated OER

Access Ramp

For Teachers 9th - 12th Standards
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...
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Howard County Schools

Building a Playground

For Teachers 9th - 11th Standards
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.
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Analyze Math

Analyze Math: Table of Integrals

For Students 9th - 10th
The resource consists of a table of indefinite integrals of functions. Formulas for elementary functions, trigonometric functions, exponential functions, and hyperbolic functions are included.
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Math Medics

S.o.s. Math: Calculus Integration by Parts

For Students 9th - 10th
Very nice tutorial explaining integration by parts in calculus. The tutorial explains the formula in detail and then has links to online examples the student can work.
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Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Indefinite Integral

For Students 9th - 10th
Students learn about the indefinite integral. Topics examined are antiderivative formulas, variable of integration, and constant of integration. The tutorial explores the calculus concept through notes, examples, and quizzes to check for...
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Mathematics Archives

Math Archives: Visual Calculus: Reduction Formulas

For Students 9th - 10th
This tutorial presents a series of trigonometric integrals to solve using recursion or reduction formulas. Click Solution next to each formula and a popup screen provides the solution.
Activity
Hofstra University

Hofstra University: The Indefinite Integral

For Students 9th - 10th
Nice on-line tutorial site. The site explains the Anti derivative, gives formulas for finding the anti derivative of various general forms, and has examples the student can work on-line
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Mathematics Archives

Math Archives: Visual Calculus: Integration by Parts

For Students 9th - 10th
Excellent site explaining how and why the Integration by Parts works. Go through the formula step-by-step.
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Other

Integration by Parts (Ibp)

For Students 9th - 10th
This site explains the intgration by parts, giving formulas and examples. The site also includes a link to an interactive self test.
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Integrated Publishing

Integrated Publishing: The Discriminant

For Students 9th - 10th
A thorough investigation of what the discriminant is and how it is used. Contains examples and exercises, with answers on the page.
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Interactive Mathematics

Interactive Mathematics: Basic Trigonometric Form of Integrals

For Students 9th - 10th
Formulas are presented for several types of integrals that contain trigonometric functions. Examples are provided to allow students to practice applying the formulas. Solutions are provided with step-by-step details.
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Interactive Mathematics

Interactive Mathematics: Basic Logarithmic Form of Integration

For Students 9th - 10th
The derivative of logarithms is used to allow the power formula for integrals to be used in special cases. Several examples are provided to show how this is accomplished.
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Integrated Publishing

Integrated Publishing: Area Under a Curve

For Students 9th - 10th
A step-by-step explanation of the formulas needed to find the area under a curve by working through an example problem.
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Math Medics

S.o.s. Math: Convergence and Divergence of Improper Integrals

For Students 9th - 10th
This lesson explains in detail the Convergence and Divergence of Improper Integrals. Includes many formulas and examples.
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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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Other

Numerical Integration: The Left and Right Rectangle Rules and the Midpoint Rule

For Students 9th - 10th
A detailed and comprehensive site dealing with the Left and Right Rectangle Rules and the Midpoint Rule. Includes formulas and graphs.
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Interactive Mathematics

Interactive Mathematics: The General Power Rule

For Students 9th - 10th
Using the power rule, integration is applied to trigonometric and logarithmic functions. Several examples demonstrate the process with detailed solutions.
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TeachEngineering

Teach Engineering: The Optimization of Slime

For Teachers 9th - 10th
Using their knowledge of the phases of matter, the scientific method, and polymers, student teams work as if they are chemical engineers to optimize the formula for slime. Hired by the fictional company, Slime Productions, students are...
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Math Medics

S.o.s. Math: Trigonometric Substitutions

For Students 9th - 10th
This detailed tutorial explains trigonometric substitution. Includes formulas, equations and examples.