eBook
Old Dominion University

Introduction to Calculus

For Teachers 11th - Higher Ed Standards
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
eBook
Whitman College

Calculus - Early Transcendentals

For Teachers 9th - Higher Ed Standards
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Lesson Plan
Southern Nevada Regional Professional Development Program

A Mini lesson on Semicolons

For Teachers 11th - 12th Standards
Dr. Martin Luther King, Jr.'s "Letter from Birmingham Jail" serves as an exemplar for a mini-lesson on semicolons. Working alone or in small groups, class members first circle all the semicolons in the letter, and then consider how this...
Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
Lesson Plan
TryEngineering

Graphics: Bits and Points

For Students 3rd - 6th Standards
What can a mural teach pupils about computer science? The lesson has scholars create a mural on a wall to learn about bitmap and vector graphics. Along the way, they learn about the graphics coordinate system.
Handout
Wolfram Research

Wolfram Mathworld: Definite Integral

For Students 9th - 10th
Good site explaining the definite integral. This site also gives the integration rules for Definite Integrals, along with definitions and examples.
Handout
Other

Jfm: The Definition of Riemann Definite Integral

For Students 9th - 10th
This site introduces Riemann definite integral on the closed interval of real. If you are interested in exploring definite integrals, this site may interest you.
Handout
Analyze Math

Analyze Math: Definition of Definite Integrals Riemann Sums

For Students 9th - 10th
The applet examines the definition of the definite integral.
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.
Handout
Wolfram Research

Wolfram Math World: Indefinite Integral

For Students 9th - 10th
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
Handout
Paul Dawkins

Paul's Online Notes: Calculus I: Applications of Integrals

For Students 9th - 10th Standards
The tutorial investigates applications of integrals. Topics discussed are average function value, area between two curves, volumes of solids of revolution, and work. Class notes, definitions, and examples with detailed solutions are...
Handout
Paul Dawkins

Paul's Online Notes: Calculus Ii: Applications of Integrals

For Students 9th - 10th
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Handout
Math Open Reference

Math Open Reference: Improper Integrals

For Students 9th - 10th
Learn about improper integrals with this handy reference guide. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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.
Handout
Paul Dawkins

Paul's Online Notes: Average Function Value

For Students 9th - 10th Standards
This tutorial takes a look at using definite integrals to determine the average value of a function on an interval and also the Mean Value Theorem for integrals.
Handout
Wikimedia

Wikipedia: Integrity

For Students 9th - 10th
In addition to providing a definition of "integrity," this article has information on the various ways in which integrity manifests in popular culture, law, and science. Contains several links to articles on related topics.
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.
Handout
Math Open Reference

Math Open Reference: Integral Test

For Students 9th - 10th
A handy reference guide to the integral test. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
Handout
Oswego City School District

Regents Exam Prep Center: Nys Mathematics Glossary: Integrated Algebra [Pdf]

For Teachers 9th - 10th
The glossary consists of mathematical terms used in integrated algebra. Definitions and examples are included. The resource is intended for teacher use only.
Handout
Math Open Reference

Math Open Reference: Integration by Substitution

For Students 9th - 10th
Learn about integration by substitution with this handy reference guide. Provides a detailed definition and examples that enhances further explanation. Includes links to related topics.
Handout
Wolfram Research

Wolfram Math World: Fundamental Theorem of Calculus

For Students 9th - 10th
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
Handout
Math Medics

S.o.s. Math: Improper Integrals and Series: The Integral Test

For Students 9th - 10th
This lesson explains the Integral Test for Improper Integrals and Series. The lesson provides definitions, background and examples.