 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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 Mission: Possible (SMILE)  Mary Terhune, Rachel Carson School
A lesson for grades 58, designed to teach students to convert scaled directions in inches to actual measurements in feet; correctly measure distances on an outdoor path; and enlarge a section of a map 5:1. From the Practical and Applied Math section
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 Mixture Problems  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about mixture problems, such as "How many liters of a 14 percent alcohol solution must be mixed with 20 liters of a 50 percent alcohol solution to get a 20 percent alcohol solution?"
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 The Nursing Files  Math  The Wayfarer
Answers to nurses' questions about math, and formulas nurses are expected to know everyday. Learn about tables of equivalents, terms (measures of weight, volume, capacity, and length), dosages, ratio solutions, intravenous (IV) flow rates, percent solutions,
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 Online Math Applications  Leung, Jiang, Jiang, Chiu, Klopfer, Chiu; ThinkQuest Junior
Activities, examples, problems, and online quizzes about math applied to real world situations in investing (a stock market simulation game), music (classical MIDI files), history (biographies and anecdotes), science (astronomy, computers, 'math in the
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 Oranges Project Page  Debbie Lewis; The Levering School, Philadelphia, PA
An eighth grade project. Students use measurement to investigate the proportional relationship between the edible part of an orange and the peel or inedible part of a orange. They investigate different types of oranges such as navel, blood, and clementines
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 Pantagraph (Manipula Math)  International Education Software (IES)
A pantograph is a drawing instrument for magnifying figures. Using the applet on this page, by moving the red point to trace an original figure you can automatically obtain a magnified figure with the pen at the blue point.
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 Paper Pool (SMILE)  Barbara Williams, Cook Elementary School
A lesson designed to teach students to recognize rectangles whose sides have the same ratio; use the concept of common factor to find rectangles with the smallest
area having a given ratio of sides; practice organizing data and looking for patterns;
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 Percents (SMILE)  Albert Michael, Robert Fulton Elementary School
A lesson for grades 35 designed to teach students to rename ratios, decimals, and fractions as percents; change ratios into percents; weigh items on a scale; and multiply decimals. From the Practical and Applied Math section of a collection of almost
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 Perimeter Efficiency  William Blackwell
Perimeter Efficiency, also known as Isoperimetric Inequalities, compares the actual perimeter of a shape with the circumference of the circle that would be required to enclose the same area. Since a circle will enclose any given area with the least amount
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 Philosophy of Science  David Banach
A syllabus and collected resources for a course in the philosophy of science, including excerpts from various books. Topics include ancient Greek science and mathematics: the Golden Section, Pythagoras, infinity and continuity, and Plato and Aristotle,
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 Portion Distortion  National Institutes of Health (NIH)
How do the portions served in today's fast food restaurants compare to those available 20 years ago? Take the "Portion Distortion" quizzes to learn exactly how much portions have "super sized," as well as the amount of physical activity required to burn
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 Powers of Ten  Eames Office
An "adventure in magnitudes" that depicts the relative scale of the universe in factors of ten, originally written and directed by Ray Charles Eames in 1968. Starting at a picnic by a Chicago lake, every ten seconds this nine minutelong documentary short
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 PreAlgebra Problem of the Week  Math Forum
Math problems for students learning algebraic reasoning, identifying and applying patterns, ratio and proportion, and geometric ideas such as similarity. The goal is to challenge students with nonroutine problems and encourage them to put their solutions
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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 Private Eye  Kerry Ruef
A handson, investigative teaching approach that attempts to stimulate the wonder of looking closely at the world, thinking by analogy, changing scale, and theorizing. It uses everyday objects, a jeweler's loupe, and a series of simple questions, which
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 Problem Pictures  Richard Phillips
A CDROM of 184 attractive, unusual, or puzzling color photographs accompanied by activities for mathematics teaching. Images may defy explanation, motivate investigation, or inspire the viewer to answer a question. Other pictures may be the starting
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 Problem Solving  It Has to Begin with Noticing and Wondering  Hogan, Marie; and Alejandre, Suzanne
Middle school teacher Marie Hogan observed as the Forum's Director of Professional Development modeled a full cycle of the Problems of the Week (PoWs) in Hogan's West Covina (CA) classroom. This coauthored article about their experience around the PoW
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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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 Ratio and Proportion  NASA Lewis Learning Technologies Project
If the ratio of boys to girls is 5 to 8 and there are 40 girls, which proportion should you use to find out the number of boys? A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Ratio and Proportion (SMILE)  Valesta Cobbs, John Fiske Elementary School
A lesson designed to teach students to calculate ratios and proportions and compare and contrast group data with class data. From the Arithmetic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for
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 Ratio and Proportions (SMILE)  Barbara Trotter, Ole A. Thorp School
A lesson designed to teach students to read and write proportions; identify the means and extremes of a proportion; solve proportions and problems using proportions; and to make a scale drawing. From the Practical and Applied Math section of a collection
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 Ratio  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about ratios, such as the difference between "rate" and "ratio" and "fraction"; "On a map, the scale states that 3 inches represent 125 miles...."; and "How can I write a ratio in three different ways?"
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 Ratio, Percent & Proportions (SMILE)  Rosalyn Winston, Walt Disney Magnet School
A lesson on fractions as percents, designed to teach 7th graders to find the percent of a number; find percents using proportions; calculate the weight of objects (beads) in grams given specific percents; and verify the weight of objects (beads) on a
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 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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 Revision Universe  Arnav Rawat
Downloadable worksheets with questions on cumulative frequency; line graphs; mean, mode, median and range; pie charts; curved graphs; expanding brackets; graphical solution of equations; ratio; trial and improvement; area and perimeter; density, mass
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 Rhythms and Ratios  Peter Appelbaum
Rhythmic patterns are used to help the student act as apprentice mathematician and citizen mathematician (reading the newspaper, responsible consumerism, etc.). Rhythmic Ratios observations and introductions include the Basic Pattern Idea; Something to
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 Scale Drawing Project  Diane Coates
A lesson plan: Choose a picture like a cartoon or a greeting card, etc. It is best not to choose a photograph. Decide what scale factor will enlarge your original drawing to an appropriate size for a standard size poster board (i.e. 1:3, 1:4, 1:5, 2:7
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 The Scale of the Universe 2  Cary and Michael Huang
Use the scroll bar or computer mouse wheel to zoom in and out  from quantum foam to charm quarks to "smallest thing visible to an optical microscope" to the thickness of paper all the way up to Cruithne, the depth of the Mariana Trench, Minecraft World,
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 Seeing and Learning Astronomy and Cosmology Through the Lens of Music  Sloan Edward Williams III  YaleNew Haven Teachers Institute
Exploring music, astronomy and cosmology, starting with the historical roots; the Pythagoreans in particular contributed profoundly to the development of Western Music by discovering two facts: first, that the sound caused by the
string depends on the
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 SelfInstructional Mathematics Tutorials  Center for Support of Teaching and Learning, Syracuse University
Selfinstructional material for university students of chemistry, economics, political science and/or psychology. Math topics include fractions, decimals, percents, ratios and proportions, tables, bar graphs, circle graphs, the visual display of information,
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 Similarity  Project MATHEMATICS!, California Institute of Technology
A videotapeandworkbook module that explores a basic topic in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. Scaling multiplies lengths by the same factor and produces a similar figure. It
preserves angles and
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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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 The STEM Collaborative  Maryland Public Television, Arkansas Educational Television Network, Alabama Public Television, and Kentucky Educational Television
The four online adventures Scale City, ProportionLand, Math by Design (architecture), and Rock 'n Roll Road Trip (music) engage students to use geometry, algebra, and proportional reasoning for skateboard ramps, cooking, amusement park roller coasters
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 syzygymatrix: solutions for small problems in the classroom  Jeff LeMieux
Generate cryptograms, division worksheets, fraction worksheets, and proportion problems. Select the length of dividend, denominators specified by the Washington State Standards for Grade 7, number of problems, and more. The worksheet maker prints solutions.
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 TestPrep Mathematics Table of Contents  Pamela Cohen, Walter Antoniotti
Free practice problems worksheets in whole numbers; fractions; decimals, ratios, rates, proportions, and percentages; exponents, roots, algebra, and geometry; using formulas to solve problems; multistep word problems; and graphs, signed numbers, statistics,
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 TheMathPage: Skill in Arithmetic  Lawrence Spector; Borough of Manhattan Community College, CUNY
A complete course in arithmetic: reading and writing whole numbers and decimals; addition, subtraction, multiplication, and division. Features the verbal, nonalgebraic theory of ratio and proportion, leading to fractions and percent. The usual written
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 There Is No Place Like SPACE  Sharon White
Junior high students explore living in space through this interdisciplinary (art, language arts, math, reading, social studies and science) project. Site contains a summary, scenario, student pages, and Internet links, as well as a list of standards addressed.
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 Tom Snyder Productions
Software for teachers who love to teach. Company information, free demos, catalog; free CD sampler; product descriptions, online classroom activities, professional development (including public seminars and onsite workshops), Technology Newsletter, and
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 Triangles and Pyramids: Playing Math!  Hollis Easter
A "teachable" on the construction of freestanding pyramids made "by folding a single piece of paper, with only a single piece of tape to hold them together...." This blog post goes on to include photos of a net, diagrams, and "things to investigate":
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 Using Variables And Ratios To Get You In The Right Gear (SMILE)  George K. Smith, Dunbar Vocational High School
A lesson designed to teach students to apply the concepts of variable and ratio in everyday situations; determine the gear ratios and gears for a 12speed bicycle; and write a computer program that will determine gears using the bubble sort technique.
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 WebMath: Instant Solutions to Math Problems
Instant solutions to math problems: look over the various links on the home page until you find a topic that seems to describe the math problem you're working on. Select a link then another and you will be presented with a blank form into which you can
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 Working with Fractions Using Pattern Blocks  Margo Lynn Mankus
The objective of What's My Number? is to name the size of an object given the size of 1 unit. Materials include pattern blocks cutouts, a pattern block grid, a pattern block Java applet, and links to other pattern block activities elsewhere on the web.
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 Would You Rather?  John Stevens
Choose between the two apparently equivalent choices — and justify your selection with reasoning: "Would you rather ... run the circumference of the circle OR perimeter of the rectangle? be given 100 grams of new nickels OR 220 grams of new dimes?
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