 Algebra.Help  John Traker
Algebra.help is an online resource designed to help people learn algebra. It offers lessons to teach or refresh old skills, calculators that show how to solve problems stepbystep, and interactive worksheets for testing skills. To be notified of updates
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 All About Ratios  Cynthia Lanius
Activities designed to help students understand the concept of ratios, using the Internet. Activities may also be printed out if computer access is not available. Students are expected to: use multiplication and division of whole numbers to solve problems,
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 Analyzing Numeric and Geometric Patterns of Paper Pool (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. The interactive paper pool game in this iMath investigation provides an opportunity for students to further develop their understanding of ratio, proportion and least common multiple. Students develop
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 Basic Mathematics  Jetser Carasco
Short, instructive articles that explain fractions, ratio and proportion, number theory, basic geometry, graphs, decimals, percents, and some algebra. This site, created by a math major who has taught high school math since 2008, also offers free math
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 A Bibliography of Mathematics Education  Paul Ernest, University of Exeter, U.K.
A 1994 electronic bibliography prepared for students at the University of Exeter, U.K. Contents: Society, Diversity And Mathematics Education; The Learning Of Mathematical Topics; The Psychology Of Learning Mathematics; Teaching Approaches And Resources
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 Cancer & Mathematics (MSTE)  Dildine, Silver; University of Illinois at UrbanaChampaign (UIUC)
An Internet Adventure into Cancer, Pattern Recognition & Image Analysis, and Geometry. Cancer is a group of diseases in which some body cells change their nature, start to divide uncontrollably, and may revert to an undifferentiated type. This lesson
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 Center for Technology and Teacher Education  Curry School of Education, University of Virginia
An interdisciplinary group that develops materials to prepare teachers to use technology to enhance and extend students' learning of mathematics. This site offers activities using graphing calculators, The Geometer's Sketchpad, Microsoft Excel, the ExploreMath.com
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 Circles of Dissonance  Ivars Peterson (MathTrek)
Much of today's music rests upon ancient tradition going back thousands of years to the time of the Greek mathematician and mystic Pythagoras. The Pythagoreans observed that tones an octave apart are pleasing to the ear. In modern terms,
one can say
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 Collaborative Maths Resources  Collaborative Learning Project
Freely downlaod PDFs of "talkforlearning" lesson plans such as "12 and 24 hour Card Sorting" (clock times), "Buy a Ted" (collect all the parts of a teddy bear, which introduces the concepts such as exact amounts and making change), "Factors Four in
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 Common Core Ratios and Proportions Wiki for Sixth Grade  Mary Dooms
Instructional videos, manipulatives, samples of levels of mastery, and other resources on ratios and proportions. See also Dooms' Common Core State Standards (CCSS) wiki for sixth grade geometry.
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 Coop City  Peter Barricelli
A classroom project involving the construction of scale models of buildings and towns. In addition to teaching ratio and proportion, the process introduces the students to blueprint and CAD (Computer Aided Design) programs.
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 CostOfLiving Calculator, Percent Change Calculator  NewsEngin Inc.
The cost of living utility converts dollar values, adjusting for inflation. Find the buying power of dollar amounts dating back to 1957, according to a national U.S. city average, urban regions, or metropolitan areas, as based on the historical Consumer
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 CPO Online  Cambridge Physics Outlet
A company founded by teachers and scientists that creates handson equipment and curriculum for teaching science, math, and technology from grades 412 and beyond, and provides effective professional development in science and math that is both content
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 Design Ideas  Julie Coghill
A series of articles that discuss quilt design using proportion, asymmetry, and Pythagorean triples.
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 Domebook  Tom Camilli
Cardboard and transparent plastic geodesic domes built by children. Students start by constructing paper models, then apply scale factors to construct domes of any size using cardboard or wooden dowels and plastic sheeting. See pictures of classroom projects;
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 Doubling Pennies  Math Forum, a Classic Problem from the Ask Dr. Math FAQ
Which is more, a million dollars or a penny doubled every day?
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 EduWare  EduWare, Inc.
Eduware Software lets teachers create exams for any subject or from test banks of Regents questions for Science, Social Studies, Foreign Languages, and Math, using the Wizard Test Maker program. Math subjects include logic, algebra, geometry, the coordinate
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 Effective Use of Living Space (SMILE)  William L. Brown, Parkside Community Academy
A lesson designed to teach students to measure the area of a room and various objects in this room; place scale model furniture in a room and determine the area occupied; and calculate the percentage of space used. From the Practical and Applied Math
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 Eighth Grade (AAA Math)  John Banfill
Interactive math exercises, lessons, and games covering basic arithmetic concepts and methods, for eighth grade.
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 e to the i pi  Kevin Bertman
Investigations for teachers to use in mathematics classes. Posts include Phantom Traffic Jams (velocities); Hypotrochoids (Spirographs); Cartograms; Rogue Waves; Fractal Trees; Stereoscopic Images; Six Degrees of Separation; Shoelaces (applying the Pythagorean
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 The Evolution of the Real Numbers  Lawrence Spector
An introduction to real numbers, including such topics as: the ratio of natural numbers; continuous versus discrete; fractions; unit fractions; rational numbers; measurement: geometry and arithmetic; common measure; squares and their sides; incommensurable
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 Exploratorium's Science of Cycling  The Exploratorium
Organized into seven sections. Introduction: What is the Science of Cycling? The wheel: Why do road bikes have thin tires, while mountain bikes have fat tires? Drives and gears: What is a gear ratio? And how do gears help make the bicycle so efficient?
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 Exploratorium's Science of Hockey  The Exploratorium
This site takes you inside the game: you'll hear from National Hockey League players and coaches, as well as leading physicists and chemists. Divided into seven main sections: the ice (why is ice slippery?), skating (what are the mechanics involved in
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 Five Triangles mathematics blog
This blog, which dates back to April, 2012, posts problems for middle and junior high school students. Topics have ranged from ratios and fractions to area and paths to quadratic equations and linear equations.
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 Fractions, Cycles, and Time  Ivars Peterson (MathTrek)
In ancient times, people had to confront awkward numbers in astronomical contexts when they compared the motions of the sun and moon. The unfailing, daily passages of the sun across the sky and the corresponding movements of the stars at night represented
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 Graphing Game (SMILE)  Thomas Lalagos, Hyde Park Career Academy
A lesson that introduces the graphing of ordered pairs on the cartesian plane. From the Recreational and Creative Math section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Hamilton's Math to Build On  Johnny & Margaret Hamilton
Simple, straightforward explanations, drawings, questions and answers from the book Math to Build On by Johnny & Margaret Hamilton (copyright 1993). Excerpts offer pages on: Angles, Degrees, Variables & Constants; Squaring Numbers; Square Roots;
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 A Hen and a Half  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about the rate of eggs laid by chickens: "If a chicken and a half lays an egg and a half in a day and a half ..."
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 History Of Our Solar System on a Time Line (SMILE)  Richard Murray, Gage Park High School
A lesson designed to teach students how to use ratios to make scale models. From the Graphs and Visuals section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 IMSA Math Journal  Michele Micetich; Illinois Mathematics and Science Academy
A journal published annually since 1993; each issue contains articles, problems, and activities spanning a wide variety of topics of interest to high school mathematics teachers and students. Articles are available in both online and downloadable versions.
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 Investing for Kids  Leung, Ngai, & Mirza, ThinkQuest 1998
A site designed by kids for kids. It examines stocks, bonds, mutual funds etc. to teach the principles of saving and investing to beginners and seasoned investors, and includes a stock market game for learning how to invest, with concepts of investing
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 Investing in your Future  ThinkQuest 1996
A searchable site for learning the basics of investing. Four financial calculators are available so investors can see how much different investments will return. Follow additional links to the nation's great financial institutions and other exciting places.
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 Javascript School Math Toolkit  Jeff LeMieux
JavaScript Pythagorean solver, proportion problem solver, percent proportion problem solver, chord to circumference calculator, denominator to repeating decimal checker, subtraction worksheet generator, addition worksheet generator, multiplication worksheet
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 Kids Math
Elementary and intermediate drill exercises/games (timed, with answers shown correct or incorrect) for learning addition, subtraction, multiplication, division, fractions, decimals, measurement, graphs. In English, Spanish, and Chinese. Also prealgebra
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 Learning ratios and proportions through scale drawings (SMILE)  Erwin Laskey, Eugene Field School
A lesson designed to teach students that a ratio is a comparison between two numbers; that a proportion is an equivalent relation between two ratios; and that scale drawings are ratios; so that they will be able to make a scale drawing of
the classroom.
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 Making Math Easy
Homebased math workbooks to purchase that teach the math topics found in the new math standards. Every lesson covers a specific topic that the California State Board of Education expects a child to know in the upcoming year. PreAlgebra topics include
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 Math and ProblemSolving  Dan Rosard
This site offers help with procedures, particularly in areas which have been observed to cause problems to some students; and unstructured problems with clues and questions. The first problem attempts to emulate the thinking used in the development of
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 Mathematical Ratio & Proportion  Henry Gurr
An experimental attempt to increase student understanding of topics in physics that involve mathematical proportion encountered an unexpected result: Students showed higher than normal difficulty learning the higherorder generalization that the physics
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 Mathematics of Cartography  Cynthia Lanius
A map is a set of points, lines, and areas all defined both by position with reference to a coordinate system and by nonspatial attributes. These pages discuss how maps are used, give examples of different kinds of maps, and cover map history and math
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 Math Exercises
Interactive exercises, lessons, and worksheets to practice knowledge of whole numbers, integers, divisibility, fractions, exponents and powers, percentages, proportional reasoning, linear equations, quadratic equations, monomials, polynomials, special
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 Math in Daily Life  Annenberg Media
Students often question how they will use basic mathematical concepts, algebra, and geometry throughout their lives  but the average person uses math at least three times a day. Read how math affects daily decisionmaking in this series of short articles
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 Maths au CM / Math Exercises for 5th Graders  Colleu, Patissier
Questions and answers: Numbers and Calculations: natural numbers, fractions, decimals, proportion; Geometry; Measurement. Colleu describes his teaching system using flash cards, and provides a parallel grammar site. In French and English.
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 Mathslessons.co.uk  Alan and Cass Jackson
Flash tutorials and tests on number, algebra, shape, and data, suitable for GCSE revision. Also, worksheets and revision guides, a freestanding calculator, interactive math games, and resources.
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 Math Teaching Videos  Colleen King
Macromedia Flash "videos" of problems being solved; students are invited to solve problems themselves following the given example, and then to make up and submit problems of their own. New videos appear each week. The goal of this program is to encourage
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 Math TV  Action Math, Inc.
Each week, Math TV posts a Flash movie of a new math problem. Follow along as the main character, IQ ("Infinity Quick"), introduces the problem and works through its solution, step by step; then work an interactive word problem similar to the one you've
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 Math Vantage  Center for Science, Mathematics and Computer Education, NE
Videotapes and print materials designed to bring middle level mathematics (grades 69) to life and to address the NCTM Standards (1989). Five units include: Patterns; Spatial Sense; Data Analysis; Proportional Reasoning; and Language of Mathematics.
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 MathWorlds  SimCalc: Simulations for Calculus Learning
MathWorlds enables students to learn through exploration of animated worlds and dynamic graphs. The worlds present moving objects and characters in a variety of settings, such as elevators in a building or duckies on a pond. Manipulable graphs control
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 MiddleSchool Math Through Applications Project (MMAP)  Institute for Research on Learning (IRL)
Developers of curriculum materials and software designed to make math relevant, accessible and successful for middleschool students. While working on realworld multidisciplinary design problems, students grapple with mathematics from basic skills to
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 Mike's Math Club  The Milken Family Foundation
A curriculum enrichment program, Mike's Math Club provides "handy hints" that promote mastery of such basics as doubledigit multiplication, and math games that show elementary school students how to use logic and deductive reasoning to create strategies
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 The Millennium Sphere  The Cooper Union
Jean Le Mee, Manuel A. Baez, and a team of their Cooper Union students submitted the Millennium Sphere for an international timecapsule competition sponsored by the New York Times Magazine. Watch a Shockwave animation of Ad Quadratum generation that
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