Math

Here are some online resources for lesson plans, tutorials, and games for math instruction

https://mathway.com/worksheet
Create worksheets of various sizes on a wide range of topics, including Basic Math, Pre-Algebra, Algebra, Geometry, Trigonometry, Pre-calculus, Calculus, Statistics, Finite Math, Linear Algebra, Chemistry

Signing up for a Mathway account is free, and provides the following features:

Storage space
Save your problems and pick up where you left off.

Mobile access
Access your account anywhere.
Shmoop.com
http://www.shmoop.com/pre-algebra/
A good collection of resources on a variety of subjects.  
The Khan Academy
ACCOMPLISHMENTS - BADGES AND GOALS
VITAL STATISTICS - ACTIVITY, SKILL FOCUS, AND ACTIVITY


PatrickJMT: making FREE and hopefully useful math videos for the world!  All YouTube-based video tutorials across the spectrum of math topics.  
Topics include Algebra | Arithmetic | Calculus | Differential Equations | Discrete Math | Linear Algebra | Probability and Statistics | Trigonometry 
Videos are organized according to topic and are very granular  in presentation.  No supplemental questions to work on, though.

IXL Math Skills - math level from Pre-K to Algebra 2.  Each site presents a list of all of the skills students learn in that level! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Algebra tutorials and lessons

Purplemath—Your Algebra Resource
Practical algebra lessons with lots of pictures and animations and worked-out examples.
www.purplemath.com/modules/

Shmoop.com Prealgebra
Free learning guides (tutorials) for all prealgebra topics with interactive practice problems, step-by-step examples, graphs, and real-world applications. This can be used for an online pre-algebra textbook.
www.shmoop.com/pre-algebra

Algebra-Class.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.algebra-class.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
High-quality 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 2010-2011 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—text-book 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/algebra-help.html

Math Ops
Free and subscription online pre-algebra and algebra course that includes step-by-step 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/algebra-variables.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. Step-by-step 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 self-paced 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 real-life 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 computer-checked problems.
www.emathematics.net

Math 101: College Algebra Course 
Includes video and text lessons with self-grading quizzes from linear equations to exponential & logarithmic functions and sequences & series. The lessons can also prepare you to earn the lowest-cost college credit in the U.S.
education-portal.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/e-store

Hand Made Manipulatives
Print these pages on cardstock to get your own base 10 blocks, rods, geometrical shapes, or algebra tiles (XY-blocks)
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 ready-to-use 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

Explorelearning Algebra Gizmos
Covering all algebra topics, an extensive collection of 'gizmos' or interactive visual illustrations. They are like virtual hands-on 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

College-Cram Algebra Topics
Interactive and simple algebra tutorials and worksheets.
www.college-cram.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 real-world applications.  The student tutorials are printable and ready-to-use pdf-files.  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 real-life examples, exercises, and solutions. Ten of them are free! 
www.mathmediator.net/php/alg2.php


 

Algebra word problem resources

Algebra word problems generators from Math Celebrity
This site has automated quiz and word problem generators for these types of common algebra word problems: two-number 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 step-by-step 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 5-12.  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 non-competitive 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

 

Algebra games

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 slope-intercept 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 books & ebooks

Algebra I: Expressions, Equations, and Applications with a Home Study Companion
Read my in-depth 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 self-study. 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 real-life 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 pre-algebra and algebra students, respectively. Both are written in a warm, easy-reading 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 real-world 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 CK-12
A free online algebra book from CK-12.
www.ck12.org/flexr/flexbook/1374

 

Trigonometry

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 Math-Mate
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.math-mate.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/Trigonometric-functions/Trig-functions-intro.php

Maths Online Gallery: Trigonometric Functions
Collection of Java applets with exercises for the student.  The Definition of trig functions applet illustrates the right-triangle 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 odd-numbered 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/trick-for-teaching-basic-trig.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/how-do-you-find-exact-values-for-the-sine-of-all-angles/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/math-help/worksheet/trigonometry
www.ecalc.com/math-help/worksheet/trigonometry-identities

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. 
magnus-karlsson.nu/mathplets/trig/trigfunc.html

 

Calculus

Tutorials for the Calculus Phobe
Animated little flash movies about limits, continuity and derivative.
www.calculus-help.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 pre-calculus 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.
www-math.mit.edu/~djk/calculus_beginners/

Online Calculus Course Video Tutorials
A collection of free videos for the calculus student.
www.straighterline.com/landing/online-college-calculus-video-tutorials.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 first-year 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 real-time and shown to you, which helps reducing input mistakes. The calculators do not show step-by-step 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.derivative-calculator.net
www.integral-calculator.com

Visualizing an Infinite Series
An on-line 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/an-easy-way-to-remember-how-logarithms-work

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