IMPORTANT: To assure effective learning, Chatterbee's strongly suggests that
parents or older siblings assist their younger (middle school-age) family members in using the math resources below. Chaos Theory / Fractals
"Fractals" Index at the Math Archives : an impressive index of sites related to fractals
and chaos theory. This index also lets you know which sites are interactive, highschool-level, Java-enabled, and so on. Quite a good resource for doing serious research into fractals and chaos.What is Chaos? : If you are a complete beginner when it comes to understanding chaos
theory, this really quick five part on-line course (actually, more of a lesson than a course), will give you a good foundation in the basic concepts of chaos.Complex Numbers
Algebra 2: Complex Numbers : a nice introduction into the basics of complex
numbers. After reviewing the information, you can take a quiz to solidify what you've learned.Complex Numbers at Armstrong Atlantic State : Don't let the really plain look of this web
page turn you off. Just click the hyperlinks in the exercise problems to get reallygood step-by-step help with working with complex numbers. Recommended.Complex Numbers at International Education Software : highly interactive simulations of
many concept concerning complex numbers. Give this site a try if you need to visualize how complex numbers do their thing. Recommended.Complex Numbers from the Schools of California Online Resources for Education :
this SCORE site contains good explanations and illustrations of complex numbers. This site also has some interactive features that make it a little more fun than most dealing with complex numbers. Nicely done.Complex Numbers at WebMath : this category at WebMath provides interactive
instruction on adding, subtracting, and multiplying complex numbers. Also included is good information on the "i" exponent. Complex Numbers from SOS Mathematics : well-written information on how to handle
complex numbers (a.k.a. "complex variables"). This site is helpful in that it offers proofs for many of its example problems.Dave's Short Course on Complex Numbers : a well-done, clearly written "mini-course"
on complex numbers.John and Betty's Journey Into Complex Numbers : a weird, weird, weird lesson in
understanding complex numbers. The lesson is in the form of a children's story.Honest. You've got to see it to believe it. Still, as strange as it is, it really does a fine job of teaching you about the basics of complex numbers. Trust us on this one.Math for Morons Like Us: Complex Numbers : good, straightforward instructions and
examples on how to perform operations involving complex numbers. Exponents
Algebra: Exponents : it's just a simple text page -- but it has clear explanations on how
to deal with exponents. Even better, there are quite a few step-by-step solutions to help you!Laws of Exponents from the University of Colorado : information on how to perform
arithmetic processes on exponents. Here, you'll find clear explanations and solutions to guide you.--------------------------------------------------------------------------------------------------------------------------------
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Exponential and Logarithmic Functions
Exponential and Logarithmic Functions : a simply designed page that offers good
advice on these two types of functions. Note that you should have at least some minimal understanding of these two functions as this page assumes you have a certain level of familiarity with them.Exponential Functions from SCORE : offers clear examples and well-written
information on the basics of exponential functions.Exponential Functions and Their Graphs : a very good interactive sub-site from
Armstrong Atlantic State. Here, you'll find plenty of step-by-step examples on how to graph exponents. Be sure to pay close attention to EVERY hyperlink as their use is essential in this tutorial. Recommended.Logarithmic Functions at Armstrong Atlantic State : excellent step-by-step solutions to
numerous sample problems involving logarithmic functions. Make sure to use ALL ofthe hyperlinks on these pages as they are essential to the tutorial.Recommended.single web page, but it's really well done. Here, you'll learn the basics about these two types of functions -- and you can quiz yourself on-line to see if you understand them!Solving Exponential and Logarithmic Equations at Armstrong Atlantic State : Don't
be fooled by the plain looks of this web page! Despite its drab looks, it's filled with
great math help. Use the hyperlinks next to the exercise problems to get good
step-by-step help on solving exponential and logarithmic equations.
Recommended.
Factoring
Factoring at Armstrong Atlantic State : If you need help in learning how to factor, try this
site. It's not much to look at -- but it provides very useful info on how to factor. Be
sure to use the (rather tiny) hyperlinks next to the exercise problems to get
good step-by-step help on how to factor. Recommended.
Factoring Tutorial : this straightforward page, created by math instructor Shannon
Smyrl, offers good advice on how to factor binomials, trinomials, and polynomials. Be sure to use the hyperlinks on the page to get really good advice on some of the
key things to do to factor correctly.
Polynomials: Factoring : Based on a chapter in Bittinger's "Introductory Algebra," this
site offers excellent interactive lessons on factoring. Note that you will need the InterAct plug-in (available for free at the site) to use these lessons fully. Once you've installed the InterAct plug-in, go back to this site and launch the factoring lesson of
your choice -- you'll be glad you did. Highly recommended.
Fractions, Decimals and Percents
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8 On-line Video Lessons
Fractions and Decimals : From Learner.org, this on-line video lesson does a fine job of
showing how to convert fractions-to-decimals and decimals-to-fractions. Being
video on demand (VOD), you can play the video over and over to really learn the
subject very well! Highly recommended.
(Requires Windows Media Player and DSL or Cable Internet access)
Fraction, Percents, and Ratios : Another great on-line video lesson from Learner.org. In
this lesson, you learn how to use the "area" model to multiply and divide fractions.
This lesson also helps to clarify how fractions, percents, and ratios are related to each
other. Highly recommended.
(Requires Windows Media Player and DSL or Cable Internet access)
MyMathTutor.com : A terrific on-line video lesson about how to work with fractions.
To get fraction help, sign up for a FREE account at www.mymathtutor.com. After
you set up your account (it's really easy to do), login and click "Pre-Algebra" and then
click "Unit 3: Fractions and Mixed Numbers." Then, just click a link that takes you
to what you want to learn about when working with fractions! Highly recommended.
(Requires Realplayer and DSL or Cable Internet access)
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q Interactive Lessons
Free-Ed.net : Click any of the links below to go to on-line interactive lessons that will help
you to master a fraction, decimal or percent subject. And don't worry about the
"Lesson" number that you see on the web pages: You'll have no problem regardless of
which "lesson" you choose. Recommended.
Fractions and Decimals
The Meaning of Decimal Fractions ("Decimal Fractions" are also known as "Decimals")
Percents
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Decimals : Get good instruction and clear examples regarding how to master pretty
much anything that has anything to do with decimals.
Decimals, Whole Numbers and Exponents : although there good information here on
whole numbers and exponents, the bulk of the tutorial is devoted to solid informationon how perform decimal arithmetic. Fraction Frenzy : a fun Shockwave-based game where players must match fractions of
equal value. The faster they do it, the higher their score.Fraction Questions from the Math Forum : a nice collection of frequently asked
questions regarding many of the basic concepts and properties of fractions. Areas covered include "Fractions and Algebra," "Fractions in Word Problems," "Fractions in Division," and more. Note that students using the "Fractions and Algebra" sectionmay require some parental help in understanding that section: the other sections though are not as hard.Fractions : this Sparknotes area offers good information on how to work with all kinds of
fractions. The instructions are a bit wordy -- but that's not a bad thing for studentswho need more in-depth explanations about fractions.Fractions : A Refresher Module : this "What is a Fraction" refresher is actually a good,
brief mini-course in adding, subtracting, dividing, and multiplying fractions. Here,
you'll even learn a few things about percentages and ratios. On the site, you use the
arrows on left navigation bar to move through the module.
K-8 Fractions at AAAMath : this pleasant interactive site provides good instruction
in the basics of working with fractions. Designed for Kindergarten through 8th grade students, you'll learn how to add, subtract, multiply and divide fractions. In addition, you'll also get instruction on converting fractions to decimals and more.Proportions at Algebra.Help : clear, easy-to-understand information on how to solve
proportion equations (equations that equivalent ratios and fractions)Geometry
College Geometry at Mathematics Help Central : Okay, it say's "college" -- but this is
also a great site for high school students taking geometry. Definitely worth a visit.Geometry at AllExperts.com : Are you really, really stumped on a geometry problem
or concept? Well, here you can send an e-mail to any of several volunteer geometry experts and get at timely response. Cool! As it may take a few days to get a response, be sure to use this service for homework projects that are not immediate due.Geometry at ThinkQuest.org : covers pretty much every major concept in basic
geometry. It's not an interactive site, but it's explanations about general geometry concepts and how to perform the more common geometry feats are very good and fairly easy to understand.Interactive Geometry at Studyworks : a really cool site that shows you, interactively,
how many geometric concepts work. If you're having problems visualizing a concept in your geometry class, visit this site and try its interactive simulations! Recommended.K-8 Geometry at AAAMath: a colorful interactive site designed for Kindergarten through
8th grade students. Here, you'll learn the basics of geometry such as determining volumes, area, and the fundamentals of polygons (squares, triangles, and so on).Math for Morons Like Us: Geometry : a terrific site where you can get lots of good
information on all of the major aspects and concepts of geometry. Recommended.Quickie Math : Click the "Learning" option on this site to go to many clearly written and
concise lessons on most of the concepts that you will find in your geometry course. Recommended.-- Pythagorean Theorem --
Pythagorean Theorem at Cut-the-Not: If you don't understand the Pythagorean
Theorem -- or its many proofs -- try this page: it offers 36 proofs that will help you to understand how the Pythagorean Theorem works! Highly recommended.Pythagorean Theorem from International Educational Software : more than a dozen
interactive simulations to help you visualize the Pythagorean Theorem and how it relates to triangles. Note that younger students may have difficulty with trying tounderstand the simulations. In such cases, we recommend that an adult help theyounger student to understand the interactive graphics on this site. Recommended.--------------------------------------------------------------------------------------------------------------------------------
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