 Ratios and Proportions (SMILE)  Mamie P. Scott, Edward Coles Elementary School
A 7th grade lesson designed to review ratios and proportions and to teach students to determine the relation between individual height and reach; find equal ratios; solve word problems using ratios by trial and error; and practice finding pictorial expressions
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 Ratios (SMILE)  Richard Murray, Gage Park High School
A lesson that uses scale models to teach students to examine models and compare their lengths numerically; to measure the models; and to calculate the length of the real size base when they know the scale of the model. From the Practical and Applied Math
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 R. Buckminster Fuller's Octet Truss  Hop David
A discussion of Buckminster Fuller's invention based on the octahedron/tetrahedron tessellation.
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 Renato Montemurro
Libri dall'inventore delle tabelline times table: L'insegnamento della matematica nella scuola elementare (La Scuola); La matematica dalla scuola dell'infanzia alla scuola elementare (La Nuova Italia); una guida didattica per l'insegnante della scuola
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 Robert J. Lang Origami  Robert J. Lang
Lang has catalogued and diagrammed over 400 models, combining aspects of the Western school of mathematical origami design with the Eastern emphasis upon line and form. Read about origami mathematics, which mathematically describe the underlying laws
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 Robo Compass
"Geometrical constructions made easy": type commands such as "draw segment AB between points A and B" and "construct an arc z with center O and radius which is length of segment y," then watch Robocompass draw the construction onscreen with its animated
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 Rocket High (SMILE)  Elizabeth Kelly, Pilsen Community Academy
A lesson for grades 78 designed to reinforce students' measurement skills by having them manipulate a launcher to create specific angles, introducing them to the concept of tangents. From the Recreational and Creative Math section of a collection of
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 Rosebush Math Line Puzzles  Math Forum
Three puzzles: 1) plant 7 rosebushes so that they form 6 straight lines with 3 rosebushes in each line. 2) plant 10 rosebushes in 5 straight lines with 4 bushes in each line. 3) plant 19 rosebushes in 9 straight lines with 5 bushes in each line. Questions,
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 Rubik's Cube Information  Michael Reid
All about Rubik's Cube  even a mailing list. Site contents include: the Nederlandse Kubus Club; Rubik's cube pages on the Web; Cube books; Sources of cubelike puzzles; the author's notes, including an optimal cube solver; other Cube solutions on the
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 Rubik's Games  Androsoft
Dedicated to the first PC CDROM game from Erno Rubik, Rubik's Games contains 5 subgames: Rubik's Classic, Cover Up, Paint War, Rubik's Playground and ZigThrough. Download the Rubik's Games Web Site Plugin plugin or a demo of the Rubik's Game CDROM.
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 Rubik's Online  Rubik/Seven Towns
The official online site for the Rubik's cube. Play with the cube and other Rubik's games and puzzles online; find information on where to buy Rubik's products; use the forum to exchange views, opinions, comments, suggestions and anecdotes related to
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 Rubix Corner  Duane Cash
The site includes information regarding the Duane Cash Cube Collection now featured at Hessport's Rubikshop in their "collectibles" section. New puzzles include the Rubik's Triamese, Fusion, Fusion+, SpeedFusion, 5x3, and 4x3 Cubes, which give those interested
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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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 SafeT Compass  Maddy, Maverick; James Garner
A compass with no sharp points, flat enough to use as a bookmark in a high school geometry or algebra text and safe enough for a child. Draw circles from 1/4 in. to 10 in. in diameter with this new flat compass. $2 each, 2 for $3 postpaid. See also their
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 Sales Tax and Discounts (SMILE)  Denise Folk, Richard E. Byrd Academy
A lesson for grades 68 designed to teach students that sales tax is an additional charge on products purchased; how to compute sales tax on different items using register tapes; that discount means to take a certain amount off the price of something;
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 Sales Tax (SMILE)  Allen Batts, Jr., Jane A. Neil School
A lesson for grades 68 designed to teach students to understand and calculate sales tax on merchandise and food. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative
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 Science Buddies  Kenneth Lafferty Hess Family Charitable Foundation
Science Buddies supports handson scientific investigations by providing free science fair project ideas, answers, and tools to teachers, parents, and students. Programs focus on involving science and technology professionals to interact directly and
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 Scientist Cards  All Too Flat
Trading cards, humorously based on Topps and Fleer baseball cards, list the writing preference, dominant cortex, university, and key contributions of Richard Feynman, James Clerk Maxwell, Isaac Newton, Albert Einstein, Claude Shannon, Leonhard Euler,
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 The SET Home Page  Magliery, Weeks
A page "dedicated to the entertaining and highly addictive game of SET." The object of the game is to identify a 'Set' of three cards from 12 cards laid out on the table. Each card has a variation of the following four features: color, symbol, number
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 ShapeGame  Architectronics, Inc.
Drag shapes on, drag shapes off: triangles, squares, hexagons, rhombuses, and trapezoids. Also, change their color, orientations, and more.
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 ShillerMath: How Kids Learn Math  Larry Shiller
A homeschooling math kit, designed to be kid and parentfriendly. Details of the curriculum and free sample activities are available on the site, as well as a parent resource center, newsletter, chat area, and more.
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 Shockwave Montessori Arithmetic Games  OurMontessori
Materials designed to accompany a Montessori program, suitable for any student. A link to download Shockwave Player is included. Contents: Stamp Game  use with children ages 47 for addition and subtraction; Large Bead Frame  extends basic addition
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 Similarity (SMILE)  Natalia Kee, Harlan Community Academy High School
A lesson designed to teach students to discover the factor of proportionality in similar polygons and relate this factor to the perimeters and areas of similar polygons. From the Geometry and Measurement section of a collection of almost 200 single concept
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 Simplifying Equations of the Form ax+b=cx+d (SMILE)  William F. Wagner, Hyde Park Career Academy
A lesson designed to teach students to solve equations of the form ax+b=cx+d; and to visualize the concept of "balancing" an equation. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 The Sine Function (SMILE)  Ronald G. Sienkiewicz, Prosser Vocational High School
A lesson designed to familiarize students with the concept of the sine function by defining, graphing, computer generating, using a "shop created" blackboard sine wave generator, and by presenting examples of natural phenomena which result in sine wave
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 SlideARound Math Manipulatives  Jim Franklin
These manipulatives feature movable, interchangeable slides for learning how to round whole numbers, decimals, and money; to identify equivalent fractions; to calculate elapsed time, and more. Manufactured in the U.S. of recycled plastic with steel reinforcement,
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 Soap Film Models (SMILE)  Joan Pintozzi, Curie Metro. High School
A lesson designed to encourage students to conjecture, introducing the concept of minimum path and minimum surface area and practicing measurement of line segments and angles. From the Geometry and Measurement section of a collection of almost 200 single
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 The Solar System (SMILE)  Fred J. Schaal, Lane Tech High School
A lesson designed to make use of concentric circles and angles in excess of 180 degrees to construct a sketch of the nakedeyevisible planets of the Solar System (polar coordinates). From the Geometry and Measurement section of a collection of almost
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 Solving Rubik's Cube  David Lee Winston Miller
A "bestfast" Arity Prolog program and demonstration of an efficient heuristic search method to solve Rubik's Cube. Examine the cube's topography (its flat layout) and "submachines." Documentation includes "Understanding the problem," "Why this approach
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 Solving the Rubik's Cube  Matthew Monroe
Instructions, popularized by Minh Thai, the National Champion cube solver, for solving a 3x3x3 Rubik's Cube. Also, instructions for how to solve a cube when it has oriented pictures on each face. Directions for solving a 2x2x2 Rubik's mini cube, the professor
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 Solving Word Problems (SMILE)  Barbara Trotter, O. A. Thorp Scholastic Academy
A lesson for intermediate and upper grades designed to teach students several different techniques for solving word problems. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 The Soma Cube Puzzle  Modvix
Purchase the Soma Cube. Piet Hein, a Danish poet and inventor, visualized the set of all irregular shapes formed by no more than 4 cubes, each of the same size, and realized that the seven simplest irregular combinations of cubes can form a larger Soma
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 Some Solid (Threedimensional) Geometrical Facts about the Golden Section  Ron Knott
Phi and threedimensional geometry  Dice Shapes; Coordinates and other statistics of the 5 Platonic Solids; The Greeks and the platonic solids; Quasicrystals and Phi; Footnotes on Plato and Euclid, and on shapes for fair dice.
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 Sommer Cube  Michael Sommer
The faces of the modular Sommer Cube (S3) feed into twisted conduits that comprise a threedimensional, tunnelling maze. The website provides example arrangements and construction questions such as "Given that a ball must exit at the lowest S3 level and
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 Sorting and Analyzing (SMILE)  Vickie Townsend, Crown Fine Arts Community Academy
A K12 lesson designed to teach students to sort, compare, and analyze through exploring, observing, and examining concrete objects, and to recognize a bar graph. From the Patterns and Logic section of a collection of almost 200 single concept lessons
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 Sorting Pennies, A Wagering Activity for Algebra 1 (SMILE)  David Drymiller, Marie Sklodowska Curie Metro High School
A lesson designed to abstract the idea of a line; introduce other methods of solving simultaneous equations besides graphing; and to develop problem solving skills. From the Algebra and Trigonometry section of a collection of almost 200 single concept
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 Sorting Through Life! (SMILE)  Barbette Flennoy, Joseph Stockton School
A Kindergarten lesson designed to teach students how to sort objects by recognizing their attributes and, if possible, relate them to life. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 SpaceBric
Tetrahedral linking blocks and design software using that shape. Download trial versions of the software or get the fullyfeatured versions with a registration key. Blocks may be purchased on line as well. SpaceBric also offers school fundraising and
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 Statistics of Mars (candy) (SMILE)  Wilhelm L. Lilly, Kenwood Academy
A lesson for designed to use a realistic situation as a means of collecting data (on M&Ms or other candy); to teach students to group, display, and interpret information by sorting and arranging data to construct frequency graphs; and to display and interpret
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 The Statistics of M&Ms (SMILE)  Charlotte Goldwater, Kenwood Academy
A lesson for grades 112 designed to teach students to analyze the contents of a bag of M&Ms mathematically. From the Graphs and Visuals section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning
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 subtangent.com  Duncan Keith
With Flash, explore interactive investigations such as Number Stairs and Diagonal Differences. Play Mathionaire, based on the popular TV game, but with maths questions. Quizzes include Function Machines, Number Properties, Pythagoras, and Quadratics 1.
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 SuccessMaker mathematics courses  Pearson Education, Inc.
A learning environment combining a management system, assessment, and curriculum resources to provide administrators, teachers, and students with tools to improve academic performance. Also available from http://www.pearsonschool.com/index.cfm?locator=PSZk99.
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 SumBlox  Dave Skaggs and Kelly Threadgill
"The higher the number, the taller the block." The height of these wooden building blocks for each of the integers 110 represents their value. Vertically stacking different numbers to identical heights reveals the equivalence of number families; piling
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 Summer of Math  Christopher Danielson
A subscription service to "infuse creative math into your family's play all summer long." Each curated box contains math tools and toys crafted out of American hardwood with a laser cutter by Danielson, a curriculum designer and former teacher who works
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 The Surface Area of a Cylinder (SMILE)  Edwina R. Justice, Gunsaulus Academy
A lesson designed to teach students to relate the areas of one rectangle and two circles to the total surface area of a cylinder; relate the circumference of a circle to the base of the rectangular section of a cylinder; and to review the area of a circle.
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 The Surface Area of a Cylinder (Version 2.0) (SMILE)  Edwina R. Justice, Gunsaulus Academy
A grade 8 group activity that uses a phenomenological approach, teaching students to apply concepts to a problemsolving situation. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 Symmetry  Rick Engel
A lesson on the symmetry of the Platonic and Archimedean solids using Polymorf, a math manipulative product. Demonstrates inscription, truncation, sectioning, and space filling with polyhedra.
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 Tangram Page  S. T. Han
All about tangrams, an ancient Oriental toy that has 7 pieces: 5 triangles in different sizes, 1 square, and 1 parallelogram. The object of the game is to form a given shape using all 7 pieces. Introduction, Puzzle of the Month, PC/Mac Software, Articles
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 Tangrams: History, Puzzles, Make It, and Links  Randy Crawford
Follow the "history" link to learn about tangrams through the ages; click on "puzzles" for over 100 silhouettes to reconstruct, with solutions. "Make it" provides instructions for building your own tangram set. With references to more sites, software,
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 Tangrams  Tom Scavo
Tangrams, a puzzle that helps develop spatialvisualization skills, may also be used to introduce or reinforce geometric concepts such as congruence, similarity, symmetry, etc. This unit for grades 4 through 6 uses tangrams to compute the area of polygons
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