Online Math Resources: High School 1

Algebra

Tutorials and Lessons

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

Understanding Algebra
A complete online algebra text for Algebra I by James W. Brennan. Also a printable version.
http://www.jamesbrennan.org/algebra/

The MathPage: Skill in Algebra
and Topics in Precalculus
Tutorials with exercises; with mouseover the answer is revealed.
http://www.themathpage.com/alg/algebra.htm
http://www.themathpage.com/aPreCalc/precalculus.htm

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.
http://www.sosmath.com/algebra/algebra.html

HippoCampus
Online interactive lessons (free) covering high school algebra and calculus courses (including AP calculus).
http://www.hippocampus.org/

Algebra Lessons at FreeMathHelp.com
Free algebra text and video lessons.
http://www.freemathhelp.com/algebra-help.html

Algebra Solutions
Get automated step-by-step solutions for your math problems, nice Mini-Lessons with graphics and examples to review algebra subjects, printable worksheets for additional practice.
http://www.gomath.com/algebra.html

AlgeBasics
Listen to example problems solved and explained on audio. Easy to navigate.
http://www.algebasics.com/

Kinetic Books Algebra 1
An interactive algebra 1 program. Purchase either a web access or a digital version for your own computer.
http://www.kineticbooks.com/algebra/demo.html

www.algebra.com
Automatic calculators for simplify, expand, evaluate, equations, etc. Word story problem helper has solved examples.  Forum for asking questions.
http://www.algebra.com/

www.algebrahelp.com
Explanations of basic algebra concepts, lots of worksheets where you can check the solutions.
http://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.
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/index.htm

Totally Free Math
Find totally free math textbooks to download or to view online (PDF form). Currently has an elementary algebra book available.
http://www.totallyfreemath.com/

Math ebooks from XPMath.com
Various ebooks available for free download on algebra 1, algebra 2, prealgebra, and other topics.
http://www.xpmath.com/ebooks/math.php

Hand Made Manipulatives
Print these pages on cardstock to get your own base 10 blocks, rods, geometrical shapes, or algebra tiles (XY-blocks)
http://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.
http://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.
  http://mathforum.org/alejandre/algfac.html

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)
http://illuminations.nctm.org/imath/912/TroutPond/index.html

• more great interactive math investigations
  http://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 hands-on manipulatives with exploration guides (means you have the lesson plan ready there) and assessment questions. Excellent site! Free trial.
http://www.explorelearning.com/index.cfm?method=cResource.dspChildrenForCourse&CourseID=126

Function machines
A nice discussion with two simple Java applets to introduce the concept of function.
http://www.naturalmath.com/functions.html#1

College-Cram Algebra Topics
Interactive and simple algebra tutorials and worksheets.
http://www.college-cram.com/study/algebra/presentations/

Math Made Simple
Video lessons that you can buy for $5 or less each.

MathDork
24 animated algebra lessons available on purchase ($29.95).http://www.mathmadesimple.com/
http://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.
http://www.hsor.org/modules.cfm

Online math tutors to help with math homework are available 24/7 at Tutor.com.

Games

Game Station at 10ticks.co.uk
Includes algebra related games, e.g. Alien Algebra, Concentration Algebra, Function Fire, Pac Algebra, Noughts and Crosses Algebra.
http://www.10ticks.co.uk/games.asp

Calculators

MyAlgebra.com
A calculator that lets you enter algebra problems and gives you the answers.
http://www.myalgebra.com/

QuickMath.com
An online calculator that solves equations and does all sorts of algebra and calculus problems instantly and automatically.
http://www.quickmath.com/

Free online Equation Editor
This is for teachers: compose complex math equations online, then save the image for your own use.
http://www.homeschoolmath.net/worksheets/equation_editor.php

Worksheets

Math Mammoth Algebra 1 Worksheets Collection
A collection of 137 algebra worksheets covering all the topics in a typical algebra 1 curriculum. $11.50.
http://www.mathmammoth.com/worksheets/algebra.php

Worksheet Builder
Great and free worksheet maker software with nearly 7,000 built-in algebra and geometry questions.
http://www.jmap.org/JMAP_WORKSHEET_BUILDER_INSTALLATION_FILES.htm

Free Algebra Worksheets from KUTA Software
Free worksheets (PDF) for equations, exponents, inequalities, polynomials, radical & rational expressions and more.
http://www.kutasoftware.com/free.html

Word Problems

Word Problems for Kids
A great selection of word problems for grades 5-12.  A hint and a complete solution available for each problem.
http://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.
http://www.algebra.com/algebra/homework/word/

MathsChallenge.net
Search for number, geometry, probability etc. word problems and challenges. Includes solutions.
http://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.
http://www.mathleague.com/homeschool.htm

Ms. Lindquist: the Tutor
intelligent tutoring system for algebra for tutoring students in writing expressions for algebra word Problems
http://www.algebratutor.org/

Graphing

WebGraphing.com
Online graphing calculators for functions, equations, and inequalities with automatic analysis of graphs' properties. Automatic optimal viewing window, displays asymptotes, discontinuities, piecewise graphing, etc. Also 'guess the graph', galleries, articles on graphing concepts and tricks. Very useful for high school students and teachers.
http://www.webgraphing.com/

Function Flyer
Creates graphs of functions but also allows the manipulation of constants and coefficients in any function so the user can explore the effects on the graph by changing those numbers.  Great tool!  Student would get more out of it if there was a guideline or lesson plan to follow in the explorations.
http://www.shodor.org/interactivate/activities/flyall/index.html

The Function Institute from Zona Land
Comprehensive discussion on definition of a function with Java applets that illustrate very clearly one-to-one, one-to-many, many-to-one concepts. Also has pages on different types of functions (linear, polynomial, rational, exponential, trigonometric) and interactive graphs of those.
http://id.mind.net/~zona/mmts/functionInstitute/functionInstitute.html

Mathinsite Products
A collection of very instructive Java applets with tutorial worksheets on graphing different functions (line, parabola, exponential function, circle, ellipse, trig functions, complex numbers and more).
http://mathinsite.bmth.ac.uk/html/applets.html

Functions, Graphing, and Modeling
A large interactive tutorial using a Java program as a graphing tool, aimed to prepare students for calculus.  Topics include functions, graphing, exponential, logarithmic, trigonometric, and algebraic functions.
http://campus.northpark.edu/math/PreCalculus/TOC.html

MathsNet Interactive Graphs
Get a clear and complete understanding of coordinates and graphs with this very comprehensive and extensive step-by-step tutorial. Every page is interactive, using either interactive geometry, graphing or algebra applets.  Includes how to plot graphs, all about the geometry of the straight line, tutorials for quadratic, cubic, and reciprocal curves, circles, solving, and more. 
http://www.mathsnet.net/graphs/index.html

Maths Online Gallery: Functions 1
Collection of Java applets with exercises and some lesson plans: Function and graph, Recognize function graphs puzzles, Polynomial of third order, and a Function plotter.
http://www.univie.ac.at/future.media/moe/galerie/fun1/fun1.html#funktion

Maths Online Gallery: Functions 2
Collection of Java applets with exercises:  Recognize function graphs puzzles that concentrate on negative power functions and trigonometric functions, and graph collections of exponential & logarithmic functions, and trigonometric functions.
http://www.univie.ac.at/future.media/moe/galerie/fun2/fun2.html#graphenel

Explorelearning Algebra Gizmos for Grades 9-12
Gizmos are dynamic online simulations that let students visualize and experiment with the mathematical concepts. They come with an exploration guide that serves as a lesson plan. Find gizmos for linear, quadratic, exponential, logarithmic, rational, radical, trigonometric functions, polynomials, conics, sequences and series, and more. Excellent resource! Free 30-day trial.
http://www.explorelearning.com/index.cfm?method=cResource.dspChildrenForCourse&CourseID=126" target="_blank

Software

GraphCalc - Graphing Calculator
This is a powerful, easy-to-use, scientific graphing calculator on your computer.  Make 2D and 3D graphs, different number bases, statistical analysis, calculus, etc.
Price: Free
http://www.graphcalc.com/

Calc98
Engineering, scientific and financial freeware calculator for Windows. Functions for statistics, use of different number bases, metric units conversions and physical properties and constants. Also has financial and time functions including investment, loan and mortgage calculations, a stopwatch.
Price: Free
http://www.calculator.org/download.html

SpeQ Mathematics
Small but extensive math program for calculations and graphing. Can also define variables and save your calculations.
Price: Free
http://www.speqmath.com/

A & G Grapher
A basic 2D/3D graphing program.  Add tangent lines by clicking on the graph, trace the graph, calculate area.  Also draws implicitly defined functions/graphs.  Easy to learn.
Price: A 10-day free trial.  $19.95.
http://www.runiter.org/grapher.htm

MathGV Function Plotting Freeware for Windows
Plot 2 dimensional, parametric, polar, and 3 dimensional functions. You can add lines, rectangles, circles, round rectangles, flood fills, and text for labels or for artistic effects.  Because the plots are shown with a big screen, and are extremely easy to zoom in/out or move around, MathGV is excellent for visualizing graphs and functions in middle/high school. It does NOT have calculus or tracing tools.
Price: Free
http://www.mathgv.com/

Mathscribe Lite 2.5.1
Mathscribe is a simple dynamic graphing and mathematical modeling program for algebra, trigonometry and precalculus classes. The free download includes 13 ready-to-print-n-use assignments, which I consider a real benefit of this program.  They cover linear equations, systems of linear equations, and quadratic equations. Also, the program comes with lots of pre-made examples of different kinds of functions for the high school algebra/pre-calculus student. You can also use Mathscribe to mathematically model scientific data, either by typing in the data from scratch, or simply pasting it from a spreadsheet or other program. Mathscribe lacks the zooming in/out and centering functions present in many plotting programs. Its strength is in the ready-made examples and lab sheets, helping the student to connect both symbolic and visual thinking through guided discovery.
Price: Free
http://www.mathscribe.com/

MathProf
A comprehensive program, like a math professor on your desktop. Not only for algebra, but for analysis, geometry, 3D figures, stochastics, vector algebra, and linear algebra.
Download is free. Price: $45.
http://www.redusoft.org/

Graphmatica
Very easy to use, fast, compact graphing program.  Plots 2D graphs, implicitly defined functions, in polar coordinates, piecewise, parametric graphing.  Finds derivative and area under curve.  Use a parameter/free variable. Data plotting, curve fitting, differential equations.  Recommended for middle school/high school algebra and calculus.
Price: It's up to you what you pay; if you find Graphmatica easy, helpful, and convenient to use, you are asked to support the release of future versions by sending your contribution to the developer.
http://www.graphmatica.com/

Advanced Grapher
Intuitively easy to use 2D graphing program.  Many calculus and function analysis features including derivative, tangent/normal, zeros, intersection, integral/area, regression.  Choose between 8 languages.
Price: $29, has 30-day free trial
http://www.alentum.com/agrapher/index.htm

Autograph
Autograph is a dynamic and very powerful PC graphing program spanning many levels, including Pre-Algebra, Algebra I, Geometry, Algebra II, Trigonometry, Pre-Calc, Discrete Math, Calculus, Differential Equations, Probability, and Statistics.
The numerous features include

• Cartesian plots, implicit functions, gradient/derivative, integral function, reflection in y=x, inequalities, piecewise, parametric, polar equations, differential equations, use of constants, animations. 
• Impressive zoom facilities and coordinate point manipulations, locus, shapes, transformations; regression lines
• Solves zeros,  intersections; mid-points, centers
• Finds tangent, normal; parallel, perpendicular; angle bisector.
• Vector operations
• several numerical methods/area calculations
• geometrical transformations.
• statistical diagrams and data analysis 

You can download a nice collection of examples, materials and worksheets. Recommended for those who are serious about mathematics in high school or college. Single user Price $80. Click here for 30-day preview free download
http://www.learningteam.org/htmls/autograph.html

Calculus

Tutorials for the Calculus Phobe
Animated little flash movies about limits, continuity and derivative.
http://www.calculus-help.com/funstuff/phobe.html

Graphics for the Calculus Classroom
Animations illustrating basic calculus concepts.
http://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. 
http://archives.math.utk.edu/visual.calculus/

Calculus for Beginners and Artists
By Daniel Kleitman. Includes 20 chapters of text, Java applets, and some Flash dialogs all completely free and online.
http://www-math.mit.edu/%7Edjk/calculus_beginners/

Visualizing an Infinite Series
An on-line tutorial illustrating geometrically how an infinite series can have a finite sum.
http://math.rice.edu/~lanius/Lessons/Series/infinite.htm

Integral Definida
A tutorial with a series of Java applets about definite integral.  En Español.
http://www.xtec.es/~jlagares/integral.esp/integral.htm#E1

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.
http://www.math.umn.edu/~garrett/calculus/

Free Calculus e-books at XPMath.com
load calculus texts as PDF ebooks.
http://www.xpmath.com/ebooks/math.php

MathLogarithms.com
A math ebook by Dan Umbarger explaining logarithm how's, why's, and wherefore's in all detail for students.
http://www.MathLogarithms.com

Graphing activities

Function Flyer
Create graphs of functions but also allows the manipulation of constants and coefficients in any function so the user can explore the effects on the graph by changing those numbers.  Great tool!
http://www.shodor.org/interactivate/activities/flyall/index.html

Function, derivative, and integral
Modify the given graph by dragging points and the applet dynamically shows the derivative, the integral, the tangent, the shading.  Would be more useful with a lesson plan (provide yourself?) but still very illustrative.
http://www.cut-the-knot.com/Curriculum/Calculus/CubicSpline.shtml