Algebra tutorials, lessons, calculators, games, word problems & books
This is an annotated and hand-picked list of algebra tutorials, lessons, worksheets, games, word problems, and algebra books. It is a very long list, and includes a great variety of resources. I have personally chosen each website to make sure it is truly useful for my visitors!
Pre-algebra / Algebra 1 advice & recommendations
Homeschool pre-algebra curriculum—advice and recommendations
My own article that lists options for pre-algebra curriculum for homeschoolers, including descriptions of textbooks.
Homeschool algebra 1 curriculum—advice and recommendations
My own article that lists options for algebra curriculum for homeschoolers, including detailed descriptions of four textbooks.
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.
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.
The MathPage: Skill in Algebra
and Topics in Precalculus
Tutorials with exercises; with mouseover the answer is revealed.
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.
Algebra and graphing lessons & videos—MathExpression.com
Includes study tips and videos on graphing and basic algebra 1 topics.
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.
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.
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.
Over 2,000 free videos covering all high school math topics from algebra to calculus. Registration required (free).
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.
Algebra Within Reach
Free algebra videos presented by Dana Mosely, worked-out solutions for selected exercises, and other companion helps for Ron Larson's algebra textbooks.
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.
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 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.
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.
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:
- Understanding Algebraic Factoring
A lesson plan explaining how "algebra tiles" help visualize common factoring rules. It is very illustrative, bringing the abstract down to a concrete level.
Trout Pond Population
A ready-to-use interactive tutorial where students investigate the numeric, graphical, and symbolic representations of a recursive function. Specifically, students will explore a scenario in which a trout pond loses a portion of its population to natural causes, but the pond is restocked with fish each year. (The lesson will take some time to complete.)
More great interactive math investigations
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.
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.
Math Mammoth Algebra 1 Worksheets Collection
A two-part collection (A and B) of 137 quality algebra worksheets covering all the topics in a typical algebra 1 curriculum. These worksheets are hand-crafted and contain lots of word problems and other variable problems. Free samples available. $11.50.
Free worksheets for variable expressions
Worksheets for writing simple expressions with variables, when the expressions are given with words. For grades 6-8, pre-algebra, and algebra 1.
Free worksheets for evaluating expressions
Worksheets for evaluating simple expressions with variables, when the value of the variable(s) are given. For grades 6-8, pre-algebra, and algebra 1.
Free worksheets for linear equations
Worksheets for linear equations. Includes one-step, two-step, multi-step equations, variable on both sides, and more. For grades 6-9, pre-algebra, and algebra 1.
Algebra worksheets at AGMath.com
Hundreds of free PDF worksheets for algebra 1 topics, loosely based on the 2004 Prentice Hall Algebra 1 textbook. Compiled by Jason Batterson, an 8th grade, algebra, geometry, and MathCounts teacher.
Algebra Fun Sheets
Worksheets that integrate algebra skills with fun activities including sudoku, word finds, riddles, color patterns, crosswords, games, matching cards, etc. A subscription is required.
Algebra Worksheets from MathWorksheetCenter
Lots of worksheets for over 100 algebra topics. A few are free; most are accessible only by one-year a subscription.
Algebrator - free online version
This free version of Algebrator solves algebra problems online. It does not show the solution steps - for that you can purchase the full version.
Free online Equation Editor
This is for teachers: compose complex math equations online, then save the image for your own use.
Online Equation Calculator
Solve equations, inequalities, and systems of equations, simplify or factor expressions, and much more with this free online algebra solver.
Microsoft Mathematics 4.0
Software that includes a full graphing calculator, equation solver, triangle solver, unit conversion tool, linear algebra solver, and more. Price: free.
Universal Math Solver (UMS)—free version
Software that will solve and explain algebra and calculus problems step-by-step, both verbally and in written form. A free and commercial versions available.
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.
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.
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.
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.
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.
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!
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.
Dr. Math Gets You Ready For Algebra
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.
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).
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.
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.
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.