 Algorithms  National University of Ireland
Web interfaces that provide steps for moving the disks of the Towers of Hanoi, calculate the Euclidean greatest common divisor (GCD) algorithm using recursion, and compute maximum profit from the knapsack problem using dynamic programming. Also, generate
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 Al Zimmermann's Programming Contests  Al Zimmermann
An "arena where demented computer programmers compete for glory and for some cool prizes." Computationally intensive problems, often involving heuristics, have included "Point Packing," "Retaining Water" (based on magic squares), "Son of Darts," "Topswops"
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 Amby's Math Instruction, Reinforcement, and Learning Activities  Amby DuncanCarr
Stepbystep tutorials, with autoscoring quizzes: order of operations, solving word problems, properties of numbers, prime numbers, prime factorization, greatest common factors (GCF), least common multiples (LCM), simplifying (reducing) fractions, changing
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 Bowland Maths  Bowland Charitable Trust
Case study problems and lessons designed to develop thinking, reasoning and problem solving skills in UK math pupils ages 1114. In particular, download series of standalone assessment items that challenge students to estimate the number of descendants
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 Brilliant
Weekly Olympiadstyle challenges that offer "rigorous, competitive, whimsical, and edifying" problem sets in math and physics. Register to explore the Brilliant Techniques Trainer's practice exercises; answer correctly to earn points redeemable for lanyards,
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 A Calculator
JavaScript calculators: the four basic operations, average, arithmetic congruence, greatest common divisor (GCD), least common multiple (LCM), radical simplifier, word converter that writes out numerals, and more.
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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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 College Math Prep for High School Students  C. J. Kentler and V. S. Manoranjan, Washington State University
Selfscoring problems, new with every click, to gauge a student's preparedness for college level math: operations, solving for a variable, solving linear equations, word problems, solving absolute value equations, solving inequalities, distance between
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 Completing the Square  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about completing the square, with diagrams, geometry, and alternate methods.
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 Conceptual Math Media, Inc.
Math educational products for both the classroom and family. Master multiplication facts and divisibility rules with PrimePak playing cards; create equations crosswordstyle with the Equate board game, also available via email. Order products online
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 Cross Number Puzzles  Rainer Typke
Cross number puzzles to solve online; log in to create your own. Also known as crossfigure, figure logic, or numberlock puzzles, cross number puzzles require numbers instead of words to complete a crosswordlike grid.
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 Cryptoclub  Vera Pless, Janet Beissinger
This website includes tools to encrypt and decrypt messages, an
animated treasure hunt, a classroom message board to send and
receive encrypted messages, and a place to explore mathematics
topics related to cryptography, such as prime numbers and
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 Cuisenaire Math  ETA/Cuisenaire
From the makers of Cuisenaire Rods: Connecting Cuisenaire Rods, Cuisenaire Roddles (board games and puzzles that emphasize spatial reasoning skills), Cuisenaire Rods for the Overhead, Magnetic Cuisenaire Rods, and other manipulatives. Publications include
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 Database of Number Correlations  James Barton
Partitionings, prime factorizations, polygonal numbers, and other data about each of the numbers one through one thousand, as well as connections to "various material and occult phenomena." See also Barton's magic square that has interesting prime factor
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 David's Math Pages  David E. Dirkse
Freeware includes GraphicsExplorer (plotting equations, curve fitting, differentiate, integrate, use constants a,b,c changable at mouseclick, graphics adjust...), linEq (solve systems of lin. equations and watch GaussJordan elimination step by step...),
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 Digital Math  Santa Barbara County Education Office
A site to assist Algebra I, Grade 7, and Grade 6 students, their parents, and educators with the California State Mathematics Content Standards. Log in for Quicktime that provides stepbystep instruction to solve problems aligned with the mathematics
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 Divisor Plot  Jeffrey Ventrella
"We hear of primes described as the 'building blocks' of all numbers. Let's turn that concept on [its] head. Instead, let's think of primes as the negative spaces behind complex objects. Imagine a series of picket fences stacked in front of each other.
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 Dream Frequency .com
CGI web applications to calculate the factors of a number, calculate the prime numbers below a number, test a number for primality, calculate a word's position in the alphabetically sorted list, convert hex to ASCII, or convert temperature from celsius
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 emGames  Wright Group/McGrawHill
Twelve Shockwave games aligned to the Everyday Math curriculum for the early grades. Game topics include the basic operations (including angle addition), place value, money, estimation, factoring, and choosing the larger of two numbers. Many games involve
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 Evalwave.com  Ryan Ingram
Search or browse these lists of the first ten billion prime numbers and the factors of the first one hundred million numbers.
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 Factorization using the Elliptic Curve Method  Dario Alejandro Alpern
A Java applet that factors numbers up to 1000 digits long, outputting their number of divisors, sum of divisors, Euler's totient, Moebius number, and sum of squares. Also accepts numerical expressions.
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 Factors of 1000 numbers starting from googolplex  Dario Alejandro Alpern
Known prime factors of numbers in the range 10^(10^100) to 10^(10^100)+999.
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 Factor Table, 160  Math Forum, Ask Dr. Math Common Question
A table of the factors for the numbers 1 through 60.
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 Finding Prime Factors  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about finding prime factors, along with divisibility rules for some prime numbers.
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 Free Math Worksheets
Free math worksheets to download, print, and practice addition and subtraction; multiplying; divisibility and factors; greatest common factor (GCF); least common multiple (LCM); simplifying numerical fractions; converting percents, decimals, and fractions;
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 Gadgets  Jan Gombert
Gombert's five "gadgets" provide simple challenges that combine addition, multiplication, and two or threedimensional geometry. Balancing Act shows three values on a beam to balance by addition. Make a given perimeter or area by resizing the figure
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 iKodeko  iKodeko Software, Inc.
Free online math quizzes cover least common multiple (LCM), Roman numerals conversion, number to words, and algebra word problems. Review performance, and participate in discussions around individual test items. Download the iKodeko Worksheet Maker freeware
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 Interactive Games  Cathleen J. Chamberlain and Mark Cogan, Oswego City School District
Design matching games and quizzes. Premade games include Ghost Blasters and Sum Sense, for practicing arithmetic; Banana Hunt, for estimating angle measures; Bang on Time, Class Clock, and Stop the Clock; Billy Bug, for learning coordinates; Fraction
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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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 LCM, GCF  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about least common multiple and greatest common factor, along with stepbystep explanations.
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 MathEclipse  Axel Kramer
Evaluate math expressions symbolically or numerically. MathEclipse plots two and threedimensional functions; checks primality; recognizes constants; accepts integers, rational numbers, complex numbers, real numbers, complex real numbers, vectors, matrices,
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 Math Fundamentals  Vinay Agarwala
Lessons with diagnostic tests and problem sets, and books by the author, all designed to encourage conceptual understanding of math fundamentals. Lesson topics include numbers and place values, addition and multiplication, subtraction and shortage, division
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 Math Quiz
Hundreds of free tests suitable offering instant feedback to prepare students for GCSE and ALevel examinations. Register to see more than five questions per test and access your profile, which tracks your past assessments; purchase to see a full solution
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 Math Reasoning Inventory  Scholastic
An online formative assessment tool for the Common Core State Standards (CCSS) math domains of number and operations. Watch Math Reasoning Inventory (MRI) clips of facetoface interviews of students as they reason and explain their strategies, demonstrate
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 Maths4Me  Philip Isham
Tutorials covering the main topics of school mathematics using simple English words and pictures. It is intended as an alternative and a supplement to the more academic and structured methods.
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 MathWonders, LLC  Amy ClarkWickham
Makers of ClockWise products, which draw on the image of the 12hour analog clock to conceptually unite the decimal (10), duodecimal (12), and sexagesimal (60) patterns that emerge from nature and everyday experience. Purchase the ClockWise system book,
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 Mr. Hoffman's Home Page  Jim Hoffman
Assignments, notes, exams and interactive vocabulary quizzes (with answer keys) from Hoffman's own math and twodimensional computer animation high school classes. These materials are based on Saskatchewan Provincial Curriculum, and include Math 9, Math
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 The Number Empire  Vitalii Vanovschi
Enter a positive integer up to 10^12, press the "Go!" button, and The Number Empire states  in yes/no format  whether you entered a prime number, a Bell number, a Catalan number, or a factorial. The same single click displays the integer written out
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 Online Lessons Using Streaming Video  Your Other Teacher.com
Tutoring via streaming video and online tutors (using whiteboards). Free samples available. The math section includes arithmetic, prealgebra, factoring for algebra students, algebra 1 and 2, word problems, CAHSEE (California High School Exit Exam), introduction
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 Prof. McFarland's Help Center for Mathematics Students  Thomas McFarland, Department of Mathematical and Computer Sciences, University of Wisconsin System
McFarland's handouts for courses such as Finite Mathematics, Basic Algebra, Calculus, and The Logic of Chess. Interactive (JavaScript) selftests or explorations cover integer and fractional exponents; factoring; reducing, adding, multiplying, and dividing
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 Rich Maths Tasks to Engage  East Midlands Maths Network
These teachermade rich maths tasks in number, algebra, shape, and data handling emerged from a collaborative project run by Jon Stratford, Lead Practitioner for the Specialist Schools and Academies Trust (SSAT): arrangements, clock face, chocolate dilemma,
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 Road Sign Math  Jamie Thingelstad
"Driving + Math = Fun." A game to play on the road, identifying signs that suggest basic or advanced arithmetic, or that display constants, sequences, or primes. See digital photographs of actual street and highway signs that meet the "RSM" rules. Submit
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 Shelley's Mathematics Articles  Shelley Walsh
"Little selfcontained articles [that] write up more than you can normally fit in a lecture, and ... hopefully put together enough explanation so that there's something for a great variety of different ways of thinking." Organized into Geometry; Analytic
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 The Shikaku Room  Paul Hutchinson
Given a few numbered squares in a larger grid, block out rectangular and square sections so that each component piece contains the one number that represents its area. Randomly generate or create your own grids — from 4 × 4 up to 20 ×
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 Skill in Algebra  Lawrence Spector
An introduction to algebra, with questions that, when moused over, reveal their answers: algebraic expressions, signed numbers, adding and subtracting signed numbers, multiplying and dividing signed numbers, reciprocals and zero, removing grouping symbols,
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 Spy Guys: Online Elementary Mathematics Resource  Mathematics 6  LearnAlberta.ca
This Flash 5 site includes lessons (Decimals; Improper Fractions and Mixed Numbers; Ratio; Percent; Solving Problems with Decimals; Understanding Integers; Factors, Multiples, and Prime Factorization; Summarizing and Extending Patterns; Rounding Numbers;
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 ThatQuiz  Andrew Lyczak
Practice integer and fraction arithmetic, inequalities, averages, exponents, factors, algebra, calculus, shapes, probability, place value, graphs, sets, trigonometry, and more. The site times and scores performance. Register for online administration
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 themathlab.com
Playful, interactive studentmade problems, games, drills, lesson ideas, tools, "magic," and more. Lessons include practice problems which, when solved correctly, generate passwords that grant access to "treasure rooms." Lesson ideas include Algebachee
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 To Accumulate a Rate — Integrate!  Kaleb Allinson
Allinson teaches trigonometry and AP Calculus AB at Lake Stevens High School (WA), where he also serves as the math department head. He describes his blog as a venue to "help me reflect on my teaching.... and record the unique [ideas] I came up with for
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 Wilder's Fourth Grade Math and Science  Jim Wilder
Wilder's blog, which dates back to July of 2008, has included posts such as "Pumpkin Investigation/Family Math Night," "Spuds, Velocity, & Central Tendency," "predict the pattern," "codes and the tricky elevens," and "thinking about patterns." Wilder
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