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Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Symmetry

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the symmetry of even and odd functions and how to test for these types of symmetry. There are example problems solved, problems for the student to attempt, and answers to the student...
Handout
University of California

Ucla Mathematics Department:average Value of a Function

For Students 9th - 10th Standards
UCLA Mathematics Department provides specific example of the average value of a function.
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Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Uniform Distribution

For Students 9th - 10th Standards
Students learn about probability density functions and uniform distributions. The tutorial investigates the statistics concepts through class notes and examples. Review exercises are included.
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...
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Random Variables and Distributions

For Students 9th - 10th Standards
Students examine random variables and distributions. Topics explored are probability distributions, and discrete and continuous random variables. The tutorial investigates the statistics concepts through class notes and examples. Review...
Activity
Rice University

Rice University: Cynthia Lanius: Volume Functions

For Students 9th - 10th Standards
This site challeges students to find the rectangular dimensions that would produce the cylinder with the greatest volume. The page provides formulas. Students can choose from the following methods to solve: Tabular, Graphical, and calculus.
Activity
eFunda

Engineering Mathematics: Exponential and Logarithmic Functions

For Students 9th - 10th Standards
This site explains the Exponential and Logarithmic Functions and has links to plots of the functions.
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Math Notes and Math Tests

Pre Calculus Notes: Rational Functions [Pdf]

For Students 9th - 10th Standards
Students explore rational functions. Vertical asymptotes, horizontal asymptotes, slant asymptotes, and the zeros of a function are examined.
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ClassFlow

Class Flow: Functions and Their Graphs

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Functions can be specified in a number of ways. Students concentrate on functions given by equations involving independent and dependent variables and begin to recognize the different forms to find the...
Unknown Type
Math Notes and Math Tests

Pre Calculus Notes: Exponential Functions and Their Graphs [Pdf]

For Students 9th - 10th Standards
Students explore exponential functions and their graphs. Exponential decay, the natural exponential function, and compound interest are examined. Proofs, explanations, and examples are included.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Review

For Students 9th - 10th Standards
Learners review the algebra and trigonometric skills needed in a Calculus course. Topics investigated are solving trigonometric equations, logarithmic functions, exponential functions, functions, and common graphs. Class notes,...
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,...
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Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Slope and Intercept

For Students 9th - 10th Standards
The tutorial explores slope and intercept. Students learn about the concept through class notes, examples, and practice problems. Topics include linear functions and slope. Review exercises and a chapter quiz are included.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Derivatives of Inverse Trig Fx

For Students 9th - 10th
Here is a site that clearly and thoroughly explains how to find the derivatives of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Handout
National Council of Teachers of Mathematics

The Math Forum: Unsure of Which Telephone Plan to Choose?

For Students 9th - 10th
This online activity will help you use step functions as a means of determining the most appropriate calling package for your household.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Arc Length

For Students 9th - 10th
This site explains the arc length. The site has links to related topics and examples.
Unit Plan
New York Times

New York Times: Steven Strogatz on the Elements of Math Series the New York Times

For Students 9th - 10th
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
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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.
Handout
Wolfram Research

Wolfram Math World: Calculus and Analysis

For Students 9th - 10th
Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.
Activity
Texas Instruments

Texas Instruments: Newton's Law of Cooling and the Calculus Behind It

For Teachers 9th - 10th
In this activity, students investigate Newton's Law of Cooling and determine a model to represent the data.
Handout
Cool Math

Coolmath: The Difference Quotient Review

For Students 9th - 10th
Steps and examples for using the difference quotient with a function.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Cubic Models

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students will be modeling with cubed or piece-wise functions. Students examine guided notes, review guided practice, watch instructional videos and...
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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.

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