Unit Plan
Cuemath

Cuemath: Integration

For Students 9th - 10th
Explore the world of integration in this mini-lesson. Learn the integration rule and other integral concepts and try your hand at a few practice questions.
Unit Plan
CK-12 Foundation

Ck 12: Chemical Formulas

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Students will use a chemical formula or mass data to calculate the percent composition of a compound, and then calculate the empirical or molecular formula for a...
Handout
Cuemath

Cuemath: Integral

For Students 9th - 10th
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
Activity
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.
Activity
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.
Activity
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...
Handout
University of Manchester

Umist: Mathematical Formula Tables

For Students 9th - 10th
This site has links to tables of mathematical formulas. To view them, the student must download the formulas in pdf format.
Activity
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
Handout
Wolfram Research

Wolfram Math World: Line Integral

For Students 9th - 10th
Use this site to find the formula for the line vector of a field on a curve. Also included is the formula for complex plane circumstances. Read further down the page for higher math involving involveing Poincare's
Activity
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.
Activity
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.
Activity
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.
Activity
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.
Activity
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.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Derivation of De Moivre's Formula

For Students 9th - 10th
A formula using Euler's formula to derive DeMoivre's theorem. Basic calculus skills of differentiating and integrating are required to understand this explanation.
Handout
Wolfram Research

Wolfram Mathworld: Riemann Integral

For Students 9th - 10th
This site explains the Riemann Integral and its relation to the Riemann Sum. This site addresses double and triple Riemann Integral scenarios. Includes formulas, definitions, and links to related sites.
Activity
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.
Handout
Wolfram Research

Wolfram Math World: Improper Integrals

For Students 9th - 10th
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
Activity
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.
Handout
eFunda

Numerical Integration: Newton Cotes Formulas

For Students 9th - 10th Standards
Good site explaining the various methods for numerical integration.
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.
Website
Other

The Institute of Integrative Aromatherapy

For Students 9th - 10th
The Institute of Integrative Aromatherapy offers a certificate program for people who want to be practitioners in aromatherapy.
Handout
Paul Dawkins

Paul's Online Notes: Calculus Cheat Sheet [Pdf]

For Students 9th - 10th
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.