Handout
Other

Dans Math: Lessons: Calculus (Part 2)

For Students 9th - 10th
College professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.
Primary
University of Saskatchewan (Canada)

University of Saskatchewan: Advanced Rational Function Problems

For Students 9th - 10th Standards
A set of more difficult exercises on rational functions, complete with solutions. Asks for students to find the asymptotes of the equations given and to sketch the function.
Handout
Math Notes and Math Tests

Pre Calculus Notes: Logarithmic (Log) Functions and Their Graphs [Pdf]

For Students 9th - 10th Standards
The resource from a professor at San Diego Mesa College investigates logarithmic functions and their graphs. Topics examined are common logs, basic log properties, and domains of logarithmic functions. Class notes and examples are included.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Moderate Rational Function Problems

For Students 9th - 10th Standards
A set of exercises of moderate difficulty on rational functions, complete with solutions and hints for students..
Handout
Oregon State University

Calculus Quest: Exponential Functions

For Students 9th - 10th Standards
This CalculusQuest site provides a basic introduction to exponential functions, covering the laws of exponents and exponential growth and decay. At the bottom of the page are links to exponential equations, exercises, and the...
Website
Mathematics Archives

Math Archives: Visual Calculus: Rational Functions

For Students 9th - 10th Standards
An explanation of what comprises the domain of a rational function. The information is brief, but formulas and examples are given along with additional links.
Interactive
Cool Math

Coolmath: Rational Functions the Whole Thing

For Students 10th - 12th Standards
Explanation and examples of rational functions.
Handout
Windstream

Ojk's Precalculus Study Page: Reflections and Symmetry

For Students 9th - 10th
An introduction to the various types of symmetries that can occur in the graphs of functions. Uses vertical, horizontal, and oblique reflections as a means of recognizing symmetries.
Graphic
University of Minnesota

University of Minnesota: Exponential Graph

For Students 9th - 10th Standards
The University of Minnesota offers an animated calculus site showing how the graph changes as the base changes.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Basic Exponential Functions

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Evaluating and solving basic exponential functions, introduction to ''e''.
Website
Math Medics

S.o.s. Math: Calculus

For Students 9th - 10th Standards
This lesson has links to the various topics dealing with calculus. The student just needs to find the topic then click to go to it.
Handout
Cool Math

Coolmath: Pre Calculus Shifting, Reflecting, Etc.

For Students 10th - 12th Standards
Description and examples of shifting and reflecting various graphs.
Handout
Other

Dans Math: Lessons: Calculus (Part 1)

For Students 9th - 10th
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
Handout
Cool Math

Coolmath: Pre Calculus Graphs to Know and Love

For Students 9th - 10th Standards
A list and visuals of standard graphs from y = x to an absolute value.
Activity
Cengage Learning

Cengage: Inverse Trigonometric Functions [Pdf]

For Students 9th - 10th Standards
This site provides a presentation on inverse trigonometric functions. In the presentation students will learn to evaluate and graph the inverse sine function, other inverse trigonometric functions and the composition of trigonometric...
Activity
Paul Dawkins

Paul's Online Notes: Common Graphs Practice Problems

For Students 9th - 10th Standards
In this section we will do a very quick review of many of the most common functions and their graphs that typically show up in a Calculus class.
Handout
Richland Community College

Richland Community College: Exponential Functions and Their Graphs

For Students 9th - 10th Standards
The site explains exponential functions and characteristics of their graphs.
Website
CK-12 Foundation

Ck 12: Using the First and Second Derivative Tests

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This resource gives a step by step account of how to apply knowledge from First and Second Derivative Tests to sketch graphs of functions. The following table...
Graphic
Mathematics Archives

Math Archives: Visual Calculus: Scaling of Functions

For Students 9th - 10th Standards
Draw the graphs of the functions y = f(x), y = f(2x), and y = f(x/2), for practice with scaling.
Activity
Texas Instruments

Texas Instruments: Accumulation Functions

For Teachers 9th - 10th
In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Applications of Maxima and Minima

For Students 9th - 10th
Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...
Activity
University of Illinois

University of Illinois Urbana Champaign: Chickscope Egg Math: Embryo Calculus

For Students 9th - 10th Standards
This interesting and interactive site offers information and activities on exponential functions, tangents and slopes, and "The number e."
Handout
Purple Math

Purplemath: Functions: Domain and Range

For Students 9th - 10th Standards
Discusses the domain and range of a function, and how to find the domain and range from a list of points or from a graph.
Graphic
Mathematics Archives

Math Archives: Visual Calculus: Graph a Function, Its Second Derivative

For Students 9th - 10th
This online tutorial site shows that the concavity of a function is related to the second derivative of the function by using an online graphing system. Inflection points are also briefly discussed.