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Jim Noble, Richard Wade & Oliver Bowles
Pyramid Model
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...
Mrs. Burke's Math Page
Let Them Eat Pi
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...
American Chemical Society
The Energy of Evaporation
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...
Houston Area Calculus Teachers
Area and Volume
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...
Curated OER
Task: Grain Storage
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...
Curated OER
Access Ramp
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,...
Howard County Schools
Building a Playground
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.
Analyze Math
Analyze Math: Table of Integrals
The resource consists of a table of indefinite integrals of functions. Formulas for elementary functions, trigonometric functions, exponential functions, and hyperbolic functions are included.
Math Medics
S.o.s. Math: Calculus Integration by Parts
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.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Indefinite Integral
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...
Mathematics Archives
Math Archives: Visual Calculus: Reduction Formulas
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.
Hofstra University
Hofstra University: The Indefinite Integral
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
Mathematics Archives
Math Archives: Visual Calculus: Integration by Parts
Excellent site explaining how and why the Integration by Parts works. Go through the formula step-by-step.
Other
Integration by Parts (Ibp)
This site explains the intgration by parts, giving formulas and examples. The site also includes a link to an interactive self test.
Integrated Publishing
Integrated Publishing: The Discriminant
A thorough investigation of what the discriminant is and how it is used. Contains examples and exercises, with answers on the page.
Interactive Mathematics
Interactive Mathematics: Basic Trigonometric Form of Integrals
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.
Interactive Mathematics
Interactive Mathematics: Basic Logarithmic Form of Integration
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.
Integrated Publishing
Integrated Publishing: Area Under a Curve
A step-by-step explanation of the formulas needed to find the area under a curve by working through an example problem.
Math Medics
S.o.s. Math: Convergence and Divergence of Improper Integrals
This lesson explains in detail the Convergence and Divergence of Improper Integrals. Includes many formulas and examples.
Other
Numerical Integration: Simpson's Rule
This site gives a description of Simpson's Rule. It includes formulas, examples, and graphs. There are also links to further information.
Other
Numerical Integration: The Left and Right Rectangle Rules and the Midpoint Rule
A detailed and comprehensive site dealing with the Left and Right Rectangle Rules and the Midpoint Rule. Includes formulas and graphs.
Interactive Mathematics
Interactive Mathematics: The General Power Rule
Using the power rule, integration is applied to trigonometric and logarithmic functions. Several examples demonstrate the process with detailed solutions.
TeachEngineering
Teach Engineering: The Optimization of Slime
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...
Math Medics
S.o.s. Math: Trigonometric Substitutions
This detailed tutorial explains trigonometric substitution. Includes formulas, equations and examples.