Here are some online resources for lesson plans, tutorials, and games for math instruction
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Purplemath—Your Algebra Resource
Practical algebra lessons with lots of pictures and animations and workedout examples.
www.purplemath.com/modules/
Shmoop.com Prealgebra
Free learning guides (tutorials) for all prealgebra topics with interactive practice problems, stepbystep examples, graphs, and realworld applications. This can be used for an online prealgebra textbook.
www.shmoop.com/prealgebra
AlgebraClass.com
A website with some simple algebra lessons for typical Algebra 1 class. Each lesson has a brief introduction followed by several examples with detailed explanations, and then a few practice problems.
www.algebraclass.com
The MathPage: Skill in Algebra
and Topics in Precalculus
Tutorials with exercises; with mouseover the answer is revealed.
www.themathpage.com/alg/algebra.htm
www.themathpage.com/aPreCalc/precalculus.htm
HippoCampus
Highquality free video lessons with interactive questions covering high school algebra, calculus, physics and many other high school subjects.
www.hippocampus.org
Algebra lessons—Interactive Mathematics
Quite a complete list of algebra lessons from Interactive Mathematics. Each section has an interactive quiz.
www.intmath.com
Virtual Nerd
Video tutorials for prealgebra, algebra 1, algebra 2, and intro physics. This will also include practice problems and quizzes sometime during 20102011 school year. Includes both a free and paid (premium) versions.
virtualnerd.com
Algebra Help—The Bracket Method
No more PEMDAS—this method uses brackets to help you figure out in what order and how to simplify expressions.
algebramethods.com
S.O.S Math
Math review material—textbook type explanations. Their cyberboard has lots of questions and answers on high school and college level math problems.
www.sosmath.com/algebra/algebra.html
Algebra Lessons at FreeMathHelp.com
Free algebra text and video lessons.
www.freemathhelp.com/algebrahelp.html
Math Ops
Free and subscription online prealgebra and algebra course that includes stepbystep narrated tutorials, videos, and online quizzes.
www.mathops.com/free
AlgeBasics
Watch free Flash tutorials about algebra. Easy to navigate.
www.algebasics.com
Chili Math
Lots of solved examples for algebra 1 and especially algebra 2 topics.
ChiliMath.com
Algebra and graphing lessons & videos—MathExpression.com
Includes study tips and videos on graphing and basic algebra 1 topics.
www.mathexpression.com/algebravariables.html
Algebra 2 Video Lessons Includes online video lessons and other support materials to accompany Holt Algebra 2 textbook. Click on the Homework help, choose a chapter, and then view the lessons.
go.hrw.com/gopages/ma/alg2_07.html
Math Tutor free algebra teacher
A series of interactive video lessons for algebra 1. The lessons follow the free algebra book from CK12.org.
www.pacsdoctor.com/MathTutor/MathTutorIntro.htm
www.algebrahelp.com
Explanations of basic algebra concepts, lots of worksheets where you can check the solutions.
www.algebrahelp.com
College Algebra Online Tutorial
including prerequisites for college algebra (= high school algebra) and college algebra topics both. Stepbystep instructions, lots of worked out examples, also some practice problems with answers.
www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/index.htm
MathTV.com
Over 6,000 free, online video lessons for basic math, algebra, trigonometry, and calculus. Videos also available in Spanish. Also includes online textbooks. I've written a review of MathTV lessons when they used to be offered on CDs.
www.mathtv.com
BrightStorm Math
Over 2,000 free videos covering all high school math topics from algebra to calculus. Registration required (free).
Khan Academy
Possibly the web's biggest and free site for math videos. What started out as Sal making a few algebra videos for his cousins has grown to over 2,100 videos and 100 selfpaced exercises and assessments covering everything from arithmetic to physics, finance, and history.
www.khanacademy.org
ZeGenie Free college Prep Mathematics course
Over 450 animated interactive, dynamic math lessons in algebra, geometry, trigonometry, statistics, and probability. Free registration required.
www.zegenie.com/us/courses
Tablet Class
Online curriculum and math learning system. Includes videos lessons, course materials, review notes, practice worksheets, tests and answer keys. Courses offered are prealgebra, algebra 1 & 2, intermediate and college algebra, and GED math. $25/month or $180 a year. Free trial available.
www.tabletclass.com
Dynamic Algebra Explorations
About 30 interactive explorations for algebra 1. The activities include dynamic online sketches and graphs and center on reallife situations.
math.kendallhunt.com/x19172.html
EMathematics.net
Examples and interactive practice problems on a host of algebra topics. For each topic you get a change to practice yourself with computerchecked problems.
www.emathematics.net
Math 101: College Algebra Course
Includes video and text lessons with selfgrading quizzes from linear equations to exponential & logarithmic functions and sequences & series. The lessons can also prepare you to earn the lowestcost college credit in the U.S.
educationportal.com/academy/course/algebra.html
Algebra in the Real World
A DVD that includes short movies, showing how algebra is used in the real world, plus supplemental activities & lesson plans. Also available as an online subscription. The DVD costs $95.
www.thefutureschannel.com/estore
Hand Made Manipulatives
Print these pages on cardstock to get your own base 10 blocks, rods, geometrical shapes, or algebra tiles (XYblocks)
mason.gmu.edu/~mmankus/Handson/manipulatives.htm
Homemade Tiles for Algebra
Algebra tiles are manipulatives that visualize many basic concepts of algebra. This site has instructions how to make them and links to pages with info how to use them.
mathforum.org/alejandre/factor1.html See also:
Population Changes in a Trout Pond
A readytouse interactive tutorial that teaches the student to think and analyze, explore, make conjectures. The student investigates the situation first numerically, then graphically, and lastly mathematically. Great lesson! (will take some time to complete)
illuminations.nctm.org/LessonDetail.aspx?ID=U142
More great interactive math investigations
illuminations.nctm.org/pages/912.html
Explorelearning Algebra Gizmos
Covering all algebra topics, an extensive collection of 'gizmos' or interactive visual illustrations. They are like virtual handson manipulatives with exploration guides (means you have the lesson plan ready there) and assessment questions. Excellent site! Free trial.
www.explorelearning.com/index.cfm?method=cResource.dspChildrenForCourse&CourseID=126
CollegeCram Algebra Topics
Interactive and simple algebra tutorials and worksheets.
www.collegecram.com/study/algebra/presentations
MathDork
24 animated algebra lessons available on purchase ($29.95).
www.mathdork.com
High School Operations Research
Series of 10 tutorials (modules) that illustrate how mathematics is used in realworld applications. The student tutorials are printable and readytouse pdffiles. The teacher resources have background info, case studies of real companies, homework exercises, and more. For those who want to know where mathematics is actually used, and how. Topics include systems of inequalities, probability & simulation, and finding shortest route among others.
www.hsor.org/modules.cfm
Algebra 2 High School Lesson Plans
Thirty complete lesson plans with reallife examples, exercises, and solutions. Ten of them are free!
www.mathmediator.net/php/alg2.php
Algebra word problems generators from Math Celebrity
This site has automated quiz and word problem generators for these types of common algebra word problems: twonumber problems (sum & product known), consecutive integers, distance/time/rate, average/count, sum, markup, markdown, percent, percentage, two coins, and work word problems. You can generate just one practice problem and then see its stepbystep solution, or generate an online quiz that will be graded.
www.mathcelebrity.com/lesplan.php?key=wordprob
Word Problems for Kids
A great selection of word problems for grades 512. A hint and a complete solution available for each problem.
www.stfx.ca/special/mathproblems/welcome.html
Learn to Solve Word Problems
A collection of school algebra word problem solvers that solve your problems and help you understand the solutions. All problems are customizable, meaning that you can change all parameters.
www.algebra.com/algebra/homework/word
MathsChallenge.net
Search for number, geometry, probability etc. word problems and challenges. Includes solutions.
mathschallenge.net
Math League's Homeschool Contests
Challenge your children with the same interesting math contests used in schools. Contests for grades 4, 5, 6, 7, 8, Algebra Course 1, and High School are available in a noncompetitive format for the homeschoolers. The goal is to encourage student interest and confidence in mathematics through solving worthwhile problems and build important critical thinking skills. By subscription only.
www.mathleague.com/index.php?option=com_content&view=article&id=61&Itemid=69
Ms. Lindquist: the Tutor
intelligent tutoring system for algebra for tutoring students in writing expressions for algebra word Problems
www.algebratutor.org
Games Station 1 at 10ticks.co.uk
Includes algebra related games, e.g. Concentration Algebra, Pac Algebra, Noughts and Crosses Algebra.
www.10ticks.co.uk/s_games.aspx
Karappan Poochi Algebra vs. The Cockroaches
The cockroaches will move along a straight line. Your mission is to find the equation of the line in slopeintercept form, and then the cockroaches will be killed.
hotmath.com/hotmath_help/games/kp/kp_hotmath_sound.swf
Algebra Puzzle
Find the value of each of the three (or four) objects presented in the puzzle. The numbers given are the sum in each row or column.
www.mathplayground.com/algebra_puzzle.html
Algebraic Reasoning—Math Playground
Find the value of a given object based on information provided by two scales. Levels 1 and 2 contain two scales. Level 3 is more difficult and has three scales.
www.mathplayground.com/algebraic_reasoning.html
Save Our Dumb Planet
Defend Earth from deadly meteorites using missiles. A team of dumb scientists are on hand to suggest possible trajectories. Practice drawing lines, quadratic curves, and some harder curves using their equations. The game has many levels, and you can stay at the easier levels if you so wish. Don't listen to the dumb scientists' talk  they mislead you!
www.mangahigh.com/games/saveourdumbplanet
Algebra I: Expressions, Equations, and Applications with a Home Study Companion
Read my indepth review of this combo package, which I highly recommend! Foerster's algebra book is very comprehensive and logical, presenting concepts in a manner suitable for even selfstudy. The Home Study Companion makes teaching from it very doable for homeschoolers or parents.
foerster_algebra_1_home_study_companion.php
Elementary Algebra
Harold Jacobs algebra text combines reallife examples, carefully structured exercises, and humor to help students learn and remember.
www.amazon.com
Dr. Math Gets You Ready For Algebra and Dr. Math Explains Algebra
By The Math Forum, Drexel University. Read my review of these two refreshing algebra companions. These books are meant for prealgebra and algebra students, respectively. Both are written in a warm, easyreading style, with some cartoons in between and clear layout. Dr. Math® books are compiled from the best answers that real math teachers and tutors have written to students' questions over the years at the popular Dr. Math® website.
Algebra Unplugged
This is not a textbook, nor does it have any exercises, but instead contains verbial, often humorous explanations of algebra 1 concepts for those who would rather hear or read math explained in many words, instead of in a few symbols. Algebra Unplugged also often explains the reasons behind some peculiar mathematical notations or terminology, and in general, tells the students WHY things are done the way they are done in your "Real Algebra Book". I enjoyed reading through it (read my review).
www.amazon.com
Real World Algebra
By Edward Zaccaro  who has also written several excellent problem solving books. With his algebra book, you can understand algebra with the help of realworld examples, and realize that mathematics is more than basic facts and memorized procedures. It includes cartoons and little stories that help you remember the rules of algebra.
www.amazon.com
Art of Problem Solving: Introduction to Algebra
A good textbook for the mathematically inclined students. For each topic, there are many example problems with detailed solutions and explanations, through which algebraic techniques are taught. The explanations often highlight ideas on best problem solving approaches, which is something you don't usually see in regular algebra textbooks.
www.amazon.com
Totally Free Math
Find totally free math textbooks to download or to view online (PDF form). Currently has an elementary algebra book available.
www.totallyfreemath.com/
AlgebraFree.com
Includes a free algebra 1 textbook called Llevada's Algebra 1, downloadable as PDF files by chapter, containing over 6,000 exercises, plus over 70 videos with lectures and solved exercises.
www.algebrafree.com
Free algebra flexbook from CK12
A free online algebra book from CK12.
www.ck12.org/flexr/flexbook/1374
Dave's Short Trig Course
Explanations on trigonometry concepts with interactive applets.
aleph0.clarku.edu/~djoyce/java/trig/
The Math Page: Trigonometry
Tutorials on various trigonometry topics accompanied with exercises where the answer is revealed with a mouseover.
www.themathpage.com/aTrig/trigonometry.htm
Trigonometry Help at MathMate
Tutorials for basic trig topics, such as: naming the sides of a right triangle, ratios between the side lengths, using trigonometry to work out side lengths, trigonometry on the calculator, using Pythagoras' Theorem, application problems in trigonometry.
www.mathmate.com/chapter26.shtml
Trigonometry Realms from Zona Land
"When you understand this animated diagram, you shall understand the sin(x)." Detailed explanations relating the basic trigonometric functions to the right triangle. Check their Point Definitions for Trig Functions page, where a dynamic graph shows the relationships between the unit circle graph and the standard graph and the right triangle definition of the trigonometric functions.
zonalandeducation.com/mmts/trigonometryRealms/trigonometryRealms.html
Trigonometric Functions from Interactive Mathematics
A full online tutorial on trigonometry topics. Has interactive quizzes after each section.
www.intmath.com/Trigonometricfunctions/Trigfunctionsintro.php
Maths Online Gallery: Trigonometric Functions
Collection of Java applets with exercises for the student. The Definition of trig functions applet illustrates the righttriangle definitions and comes withexercises to guide the exploration. Also included applet Triangle and Law of Sines andRecognize graphs puzzles.
www.univie.ac.at/future.media/moe/galerie/wfun/wfun.html#winkelf
Trigonometric Functions and Calculus for Liberal Arts and Business Majors
A complete tutorial online—modeling with sine function, the six trigonometric funtions, their derivatives and integrals. Includes exercises and answers to oddnumbered ones.
people.hofstra.edu/faculty/Stefan_Waner/RealWorld/trig/trigintro.html
Trigonometry Illustrations
A collection of Java applets graphing or illustrating all trigonometric functions, some inequalities, plus law of sines and law of cosines.
www.ies.co.jp/math/products/trig/menu.html
Trick for Teaching Basic Trig
A trick ("a touching hand") for understanding and remembering what "opposite" and "adjacent" mean in a right triangle.
untilnextstop.blogspot.com/2011/02/trickforteachingbasictrig.html
The exact values for the sine of integer angles
How do you find exact values for the sine of integer angles? This post explains them plus have a PDF file listing all exact values of sine for integer angles.
www.squarecirclez.com/blog/howdoyoufindexactvaluesforthesineofallangles/6212
MathTV.com
Over 6,000 free, online video lessons for basic math, algebra, trigonometry, and calculus. Videos also available in Spanish. Also includes online textbooks. I've written a review of MathTV lessons when they used to be offered on CDs.
www.mathtv.com
Trigonometry Help Sheet
A printable chart for solutions for right triangles. Shows the formula for the unknown sides & angles when you know two sides, or side and an angle.
www.cadproblems.us/forms/Schwendau_Trig_Chart.pdf
BrightStorm Math
Over 2,000 free videos covering all high school math topics from algebra to calculus. Registration required (free).
www.brightstorm.com/d/math
Trigonometry Definitions Reference Sheet and
Trigonometry Laws and Identities Reference Sheet
Both online and printable versions; the first sheet includes both right triangle definitions and unit circle definitions for all trig functions. The second contains commonly used trigonometric identities.
www.ecalc.com/mathhelp/worksheet/trigonometry
www.ecalc.com/mathhelp/worksheet/trigonometryidentities
Explorelearning Trigonometry Gizmos
Gizmos (interactive online activities with exploration guides) for cosine, sine, and tangent functions, unit circle, simplifying, translating and scaling trig functions. Try their free trial account. Dynamical guided exploring with these gizmos promotes understanding. Excellent resource!
www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=254
Trigonometric Functions Mathplet
This Java applet is worth checking since while graphing the function it shows the angle changing on the unit circle. However, you can't scale the graph paper.
magnuskarlsson.nu/mathplets/trig/trigfunc.html
Tutorials for the Calculus Phobe
Animated little flash movies about limits, continuity and derivative.
www.calculushelp.com/funstuff/phobe.html
Graphics for the Calculus Classroom
Animations illustrating basic calculus concepts.
www.ima.umn.edu/~arnold/graphics.html
Visual Calculus
A collection of modules from precalculus till sequences and series that uses lots of numerical and graphical illustrations, Flash tutorials, animations, etc. Some of the discussion is on college level.
archives.math.utk.edu/visual.calculus
IntegralCalc
A collection of clear and simple video tutorials for precalculus, limis & continuity, derivaties & their applications, integrals & their applications, sequences, series, polar & parametric functions, vectors, and differential equations.
www.integralcalc.com
Calculus for Beginners and Artists
By Daniel Kleitman. Includes 20 chapters of text, Java applets, and some Flash dialogs all completely free and online.
wwwmath.mit.edu/~djk/calculus_beginners/
Online Calculus Course Video Tutorials
A collection of free videos for the calculus student.
www.straighterline.com/landing/onlinecollegecalculusvideotutorials.cfm
Calculus by Gilbert Strang
A free download of a regular calculus book for undergraduates. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.
cw.mit.edu/ans7870/resources/Strang/strangtext.htm
Calculus video tutorials from Midnight Tutor
Videos of calculus problems and their solutions. You can also send in your problem and they will post a video of its solution.
www.midnighttutor.com/math_tutor_online.php
Calculus video course
Free videos from university of Houston, covering a complete college calculus course.
online.math.uh.edu/HoustonACT/videocalculus
MathTV.com
Over 6,000 free, online video lessons for basic math, algebra, trigonometry, and calculus. Videos also available in Spanish. Also includes online textbooks. I've written a review of MathTV lessons when they used to be offered on CDs.
www.mathtv.com
BrightStorm Math
Over 2,000 free videos covering all high school math topics from algebra to calculus. Registration required (free).
www.brightstorm.com/d/math
Notes on firstyear Calculus
Free college level calculus text in PDF form. Good for refreshment or for concise notes but not for first time learners.
www.math.umn.edu/~garrett/calculus
Calculus in Context
An introductory calculus textbook you can download for free (PDF). It is based on studying calculus as it is used in contemporary science, so that mathematical ideas and techniques grow out of scientific questions.
www.math.smith.edu/Local/cicintro/cicintro.html
Calculus Made Easy
A free download (PDF) of an old textbook, acclaimed to be a lively introduction to calculus, with clarity and simplicity.
djm.cc/library/Calculus_Made_Easy_Thompson.pdf
Derivative Calculator and Integral Calculator
Online symbolic calculators for derivatives and integrals. Both tools are designed for intuitive user interaction. While you type in your expression, it is transformed into a graphical formula in realtime and shown to you, which helps reducing input mistakes. The calculators do not show stepbystep differentiation or integration (not intended for cheating) but work great for checking your homework, or finding the derivative or integral for some other usage.
www.derivativecalculator.net
www.integralcalculator.com
Visualizing an Infinite Series
An online tutorial illustrating geometrically how an infinite series can have a finite sum.
math.rice.edu/~lanius/Lessons/Series/infinite.htm
Integral Definida
A tutorial with a series of Java applets about definite integral. En Español.
www.xtec.es/~jlagares/integral.esp/integral.htm#E1
MathLogarithms.com
A math ebook by Dan Umbarger explaining logarithm how's, why's, and wherefore's in all detail for students.
www.MathLogarithms.com
An Easy Way to Remember How Logarithms Work
This is a visual mnemonic to help remember what goes where in the logarithmic equation.
www.zooktutoring.com/aneasywaytorememberhowlogarithmswork
Calculus7.com
Contains video animations on calculus topics that are most useful for college and high school math instructors to reinforce or clarify what is explained in the class/lecture.
calculus7.com
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