 Addition and Subtraction of Signed Numbers (SMILE)  David Drymiller, Morgan Park High School
A lesson designed to help students master the addition and subtraction of signed numbers, and learn to recognize linear equations of the form x + a = b and their solutions. From the Arithmetic section of a collection of almost 200 single concept lessons
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 Algebraic Addition (SMILE)  Alex Junievicz, Kelly High School
A lesson that uses play money and IOUs to reinforce concepts around negative numbers. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Arithmetic (Funk & Wagnalls Multimedia Encyclopedia)  Lycos Zone: Mathematics
A short article on arithmetic: fundamental definitions and laws; theory of divisors; fractions; and decimals.
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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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 Educational Videos and Software for K12  Allied Video Corporation
Educational videos, software, and Web page services. The math series includes The Assistant Professor math videos (Fractions and All Their Parts; All About Angles; What is Area?; What are Variables?; The Pythagorean Theorem; Which Way is Minus?; The World
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 Flashcards (A+ Math)
Java and nonJava homeworkhelper flashcards for practicing: Java (with answers and with or without sound): addition, subtraction, multiplication, division, square roots, and rounding; nonJava: addition, subtraction, multiplication, division, order of
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 FUNdamentally MATH  Chip Publications
A commercial DOS/Windows program covering kindergarten through grade 12 math topics (Basic skills: Addition, subtraction, multiplication, division, negative numbers; Fractions: ordinary and decimal; Middle school geometry; Exponents: powers, roots, number
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 Gene's Corner: A Play on Numbers  Eugene Maier, Math Learning Center (MLC)
A series of mathematical vignettes that use visual models to illuminate elementary math topics. The scenes include: The Counting Numbers; Adding Counting Numbers; Subtracting Counting Numbers; Multiplying Counting Numbers; Dividing Counting Numbers; The
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 Inequalities and Negative Numbers  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about inequalities and negative numbers, such as why to reverse or flip the inequality symbol when dividing or multiplying by a negative number.
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 InstaGraphs  Calvin Leung, Clear Educational Solutions
InstaGraphs are selfadhesive grid and graph paper sheets. Purchase pads for fraction arithmetic, graphing trigonometric functions, recording graphing, calculator solutions, standard function, and relation graphing. Leung also sells suggestions for teaching
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 JumpingJoey  Psysoed Dynamics LLC
Learn the number line by jumping or walking a 30foot long, durable canvas number line. Also available as a placemat with dice and a board game.
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 KS3 Maths Homework Series  Stafford Burndred; Pearson Publishing (U.K.)
A series of 6 homework packs providing 180 different homework sheets covering levels 38 of the UK National Curriculum (ages 1114). Each pack addresses a separate level, and exercises use a speed marking system so that a full class can be marked in about
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 Locating Rational Numbers On the Number Line (SMILE)  William Winebrenner, Dunbar Vocational School
A lesson designed to teach students about rational numbers using the number line; to write rational numbers as the ratio of two integers; to convert each rational number to a mixed number; and to divide any given length into n equal parts. From the Arithmetic
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 Lois Terms's Home Page  Rebecca S. Lindsay
"Lois lives in a condo with her mixedbreed dog, G.C.F., and a goldfish named L.C.M. She dedicates her time and efforts to the task of making the world of math understandable and exciting to middle grade students..." Lois Terms answers emailed math
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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 Physics Help Homepage  Kenny Felder
A collection of papers that explain various concepts in math and physics, with links to related education and learning sites. Math covered includes: Negative Times Negative is What?; Base Eight  And other math for people who are missing fingers; Triangles,
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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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 Math Applets  Jake Enfield
Java applets for basic math, decimals, integers, fractions, geometry, and graphing. The author especially recommends 'Speed Multiplying', 'Finding Hurkle', and 'Graphing Linear Equations'.
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 Mathematiksoftware S I und SII (vorwiegend Shareware)  Monika Schwarze
Eine Zusammenstellung nützlicher Mathematikprogramme aus dem SharewareMarkt zur Aufarbeitung von Lernrückständen, Wiederholung und Stärkung der Sicherheit mathematischer Rechenroutinen. Vor allen die Programme für die SII dienen der Überprüfung gemachter
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 The Math League  Conrad, Flegler, Motyka; Math League Multimedia
Math contests for grades 4 through 12, contest problem books, and math educational software for grades 48. Contest results from math league competitions in the U.S. and Canada are posted here.
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 Mathsedge  Charles Edge
Negative numbers and basic equation balancing are presented in story scenarios with interactive exercises.
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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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 Maths Tutor Chester
Freely downloadable math resources include PowerPoint presentations on negative numbers, fractions, and percentages, and a multiplication game called Blockbusters available as both a PDF to print out or an interactive Microsoft Excel spreadsheet. Based
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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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 Mucho Math  Jake Enfield
Flash program for students to learn math vocabulary and mental math tricks through best practice teaching methods (discovery learning, scaffolding, spiraling, and customized learning). Teachers can create an account and add one student for free to try
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 Negative Exponents  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about negative exponents, from simplifying nested negative exponents to whether multiplying by 10 to the negative 3rd power is the same as dividing by 10 to the positive 3rd power.
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 Negative Numbers (Middle School Math)  Homeworkhelp.com, Inc.
What is a negative number? The number line: definitions and terminology; What do "greater than" and "less than" mean when some of your numbers are negative? Addition, subtraction, multiplication, and division involving negative numbers.
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 NewMedia Project: Integers  MathStar, Los Angeles County Office of Education
The NewMedia Project area of MathStar offers resources in mathematics for middle school teachers and students. The Integers unit is comprised of three lessons: Introducing Integers, Adding/Multiplying Integers, and Subtracting Integers. Each of the three
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 A 'New Set of Numbers' (An Introduction of Integers) (SMILE)  Barbara Barlow, Caldwell School
A lesson for grade 6 designed to teach students to add and subtract positive and
negative integers. From the Arithmetic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Positive and Negative Numbers (SMILE)  Lincoln R. Siegel, Cregier High School
A lesson designed to teach students using concrete examples that zero is not the lowest number used in mathematics or real life, and that there are negative numbers and how to use them. From the Algebra and Trigonometry section of a collection of almost
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 PositiveNegative Charge Model For Integers (SMILE)  Barbara Williams, J. N. Thorp School
A lesson designed to teach students to represent operations on integers with positive and negative charges. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning
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 Positive/Negative Integer Rules  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about positive and negative integer rules, such as "When do two negative numbers equal a positive?"
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 PreAlgebra (Middle School Math)  Homeworkhelp.com, Inc.
Free prealgebra lessons on: types of numbers (numbers and their properties, negative numbers); fractions (reducing, multiplying, dividing, adding and subtracting, mixed numbers, comparing fractions, ratios & proportions, percentages, decimals, scientific
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 PRISMNEO: Programming Remediation and Intervention for Students in Mathematics  Near North School District, Ontario, Canada
Handson Geometer's Sketchpad manipulativesplus "some things that cannot be done by hand!" The GSP files, as well as some QuickTime movies, are organized into Grade 7, Grade 8, and Grade 9 under the following topics: area, central tendency, equations,
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 The Professor in a Syllabus: Elementary Algebra  Vision Alpha Products
Selfinstructional elementary algebra and arithmetic. Learn at your own pace from dozens of brief, animated, independent, selfteaching modules. Watch videos of TPIAS in action for distance learning, and its demo, before subscribing. Also available at
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 Ralph A. Raimi Homepage  Ralph A. Raimi
The University of Rochester Professor Emeritus' notes on math education and nontechnical
writings with a mathematics theme include Whatever became of the New Math?; Have we forgotten the value of memory?, a comment on the New York Regents' Bexamination
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 Rules of Sign Change (SMILE)  Joel P. Zuger, Chicago Metro High School
A lesson for grades 78 designed to teach students to understand the operation of plus and minus signs during arithmetic operations. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 SeeMath.com  Tal Greengard
Free animations of mathematical concepts, with explanations: whole numbers, negative numbers, fractions, cups and counters, operations, carrying tens using base ten blocks, and more.
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 Sovel PreAlgebra Class  Barry Sovel
In mathematics, we can use the term 'rule', but in reality, there are no rules, only proofs; therefore, we must be able to demonstrate and prove each mathematical statement and expression before we can apply the tag 'rule' to it. Five such demonstrations
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 Understanding Mathematics: From Counting to Calculus  Keith Kressin, K Squared Publishing, Inc.
A comprehensive book for anyone who desires clear and concise math explanations, written for a nontechnical audience to cover the math fundamentals normally taught from first grade through college (for more information, see the Table of Contents).
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 Villainy, Inc.: Thwarting World Supremacy through Mathematics  Maryland Public Television
To thwart the evil Dr. Wick, ID, middle grade students take on the role of an advisor to his company, Villainy, Inc.  while secretly using their math skills to make sure Wick never succeeds. As undercover double agents for the AntiVillainy Unit (the
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 Vision Props of Signed Numbers (SMILE)  Mable McMiller, South Shore High School
A lesson designed to teach students about the number line and signed numbers by working with acid and alkaline solutions. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative
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 Why is the Product of Negative Numbers Positive? (Question Corner and Discussion Area)  University of Toronto Mathematics Network
A short essay and a description of a practical demonstration.
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