Handout
West Contra Costa Unified School District

Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...
Lesson Plan
West Contra Costa Unified School District

Derivative Theorems

For Teachers 11th - Higher Ed
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
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. 
Handout
Chapman University

Proving the Chain Rule

For Teachers 10th - Higher Ed
Understanding how our calculus derivative formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the short cuts used to find a...
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...
Lesson Plan
West Contra Costa Unified School District

Particle Motion

For Teachers 11th - Higher Ed Standards
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
Lesson Plan
West Contra Costa Unified School District

The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
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...
Lesson Plan
West Contra Costa Unified School District

Interest and the Number e

For Teachers 10th - 12th Standards
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...
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...
eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
Handout
National Institute of Open Schooling

Alcohols, Phenols and Ethers

For Students 9th - 12th Standards
Classes continue their study of organic compounds in a detailed lesson covering alcohols, phenols, and ethers. Naming these compounds, classifying them, and describing their preparation and use are some of the topics covered. Through...
Handout
National Institute of Open Schooling

Aldehydes, Ketones and Carboxylic Acids

For Students 9th - 12th Standards
Although their name makes them sound dangerous or toxic, carboxylic acids are found throughout nature in things such as citric acid, vinegar, and even in your DNA. Through detailed readings, discussions, and answering questions...
Handout
National Institute of Open Schooling

Compounds of Carbon Containing Nitrogen

For Students 9th - 12th Standards
Amines are vital to humans because they help form amino acids, the building blocks of proteins. The 30th lesson in a series of 36 specifically focuses on the organic compounds that contain nitrogen. Learners classify amines and nitro...
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
National Institute of Open Schooling

Hydrocarbons

For Students 9th - 12th Standards
The vast majority of hydrocarbons humans use help fuel cars, homes, and provide energy. A comprehensive lesson teaches pupils all about hydrocarbons. From alkanes, alkenes, and alkynes to benzene, classes study the preparation of these...
Handout
Math Open Reference

Math Open Reference: Derivative Function

For Students 9th - 10th
A complete reference guide to derivative functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Tangent Lines and the Derivative

For Students 9th - 10th
The Northeast Parallel Architectures Center of Syracuse University provides a comprehensive site dealing with the tangent and the derivative. Provides table of contents which leads to different related topics.
Handout
Johan Claeys

Math Abundance: Hyperbolic Functions and Inverses

For Students 9th - 10th Standards
Site has information and examples for topics about hyperbolic functions and inverses.
Handout
Math Medics

S.o.s. Math: The Derivative

For Students 9th - 10th Standards
Very nice lesson on taking the derivative of a function and its inverse.
Handout
Math Open Reference

Math Open Reference: Power Functions

For Students 9th - 10th
Gain an understanding of power functions with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Sine (Sin) Function Trigonometry

For Students 9th - 10th Standards
A complete reference guide to the sine function. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Handout
Duke University

Duke University: Inverse Functions

For Students 9th - 10th Standards
This resource has links to topics explaining inverse functions. Includes the derivative of an inverse function.
Handout
Math Words

Math Words: Derivative Rules

For Students 9th - 10th
This site offers fourteen rules for differentiation-- anything from a constant function to logarithmic functions.