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  1. 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. ...more>>

  2. 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 ...more>>

  3. Rational Functions: Oblique Asymptotes and Real World Applications - Jay Yohe; Susquehanna Township High School, Harrisburg, PA
    A description of the oblique asymptote in rational functions, with a review of the necessary steps for graphing rational functions. In addition, two real-world application problems are explored involving cost and dimensions of cans and reduction of acid ...more>>

  4. The Rational Mean - Domingo Gomez Morin
    Blog by a Venezuelan engineer. See, in particular, Morin's arithmonic mean and other original methods for approximating the roots of algebraic equations. ...more>>

  5. 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 ...more>>

  6. Raw - DensityDesign Lab
    The "missing link between spreadsheets and vector graphics," this open web app's interface lets you create custom vector-based visualizations on top of the Data-Driven Documents JavaScript (D3.js) library. Starting with delimiter-separated values in plain-text ...more>>

  7. rawsonmath - Pamela Rawson
    Blog by a math teacher at STEM-focused public charter high school. Rawson, who worked for 25 years in traditional public high schools in and around southern Maine, describes herself as "still learning." Posts, which date back to August, 2012, have included ...more>>

  8. The R. Buckminster Fuller FAQ - Christopher J. Fearnley
    The Frequently Asked Questions and Answers (FAQ) Resource on R. Buckminster Fuller, based primarily on the history of the discussions, interests, and needs of the readers of the BITNET mailing list Geodesic and its USENET gateway bit.listserv.geodesic. ...more>>

  9. R. Buckminster Fuller on PBS - Thirteen / WNET
    A biography of R. Buckminster Fuller, with explanations and illustrations of inventions such as the Dymaxion house, Dymaxion car, Dymaxion bathroom, and geodesic dome. Explore Fuller's Dymaxion map, John Kuhtik's Fly's Eye Dome, the World Game, and the ...more>>

  10. R. Buckminster Fuller's Octet Truss - Hop David
    A discussion of Buckminster Fuller's invention based on the octahedron/tetrahedron tessellation. ...more>>

  11. Readings and Poetry Selections for Mathematics in Poetry - JoAnne Growney, Bloomsburg Univ., Bloomsburg, PA; The Math Forum
    Annotated bibliography for the contributed paper session, "The Scholarship of Humanistic Mathematics," AMS-MAA Joint Meetings, Orlando, Florida, 1996. ...more>>

  12. Real Numbers in the Real World (SMILE) - Ulysses Harrison, Dunbar Vocational High School
    A lesson designed to teach students to group the set, R, of real numbers into two different sets: R > 0, R < 0; use parentheses to change the order in which exponentiation, multiplication, division, addition and subtraction are performed by ...more>>

  13. Real Teaching Means Real Learning - David Martin
    Posts from this blog, which date back to November of 2010, have included "Calculus and the justice system," "Driving and deriving in math class," "BEDMAS last along with Lottery Winners," and "Meaning first, homework second." Martin, who teaches high ...more>>

  14. Real World - Lesson Ideas: Math; Teachnet.Com
    Activities: Buy Groceries; Plan Christmas Vacation; Credit Cards for Kids; Who's Average?; Carpet Your Classroom; Division from a Printer's Viewpoint. ...more>>

  15. Real World Math - Thomas J. Petra
    Lessons that use Google Earth to teach math include Oil Spill Estimates and Scientific Notations; Iditarod Challenge and Typhoon Project; Four Color Map and Mazes & Labyrinths; Crop Circles and Fractal Measurement; Lunar Sports and Rockets. Each lesson ...more>>

  16. Real World Math Via the Internet - Wendi Fein, M.A., Heritage Online
    K-12 math using real world problems and data that will support interdisciplinary teaching of science, social studies, history and business. Teachers in this course take advantage of the Internet for class discussions and to access material, and prepare ...more>>

  17. The Real Y2K Problem (Math Chat) - Frank Morgan, MAA Online
    Solution to the challenge: Every year in the millennium from 2000 to 2999 can be represented as the sum of consecutive integers, except one year. Which year cannot be represented as the sum of consecutive integers? New challenge: Where do you think you ...more>>

  18. Reasons for Studying (Learning and Mathematics) - Susan Bobbitt Nolen; Math Forum
    In this 1988 article, "Reasons for studying: Motivational orientations and study strategies," Susan Bobbitt Nolen, of the University of Washington, argues that in order to foster meaningful learning and effective study strategies, teachers should reduce ...more>>

  19. Reassessing U.S. International Mathematics Performance: New Findings from the 2003 TIMSS and PISA - American Institutes for Research
    "Despite a widely held belief that U.S. students do well in mathematics in grade school but decline precipitously in high school, a new study comparing the math skills of students in industrialized nations finds that U.S. students in 4th and 8th grade ...more>>

  20. Recent Earthquake Teachable Moments - Incorporated Research Institutions for Seismology (IRIS)
    Incorporated Research Institutions for Seismology (IRIS) is a university consortium sponsored by the National Science Foundation (NSF), dedicated to the operations of scientific facilities for the acquisition, management, and distribution of freely available ...more>>

  21. Recherche dans MATHS France - Académie de Toulouse
    Un moteur de recherche qui scanne tous les sites académiques en mathématiques. ...more>>

  22. Recipes for Pi - Anna Weltman
    Blog born partly "out of a mixture of enthusiasm and anger about the ways that the world learns and shares math." Posts, which date back to February, 2012, have included "Tinker, Tinker, Algebra Student"; "Beauty Is a Math Art Class"; "The Mathematics ...more>>

  23. Recommended Mathematics Literature - International Mathematics Olympiad (IMO)
    A page of readings recommended by the International Mathematics Olympiad in association with Amazon.com Books. Major sections include: Problem Solving; Collections of Mathematical (Competition) Problems; Anthologies and Surveys; Number Theory; Analysis; ...more>>

  24. The rec.puzzles Archive
    The index of the rec.puzzles archive. Puzzles are categorized by subject area and include solutions compiled from various sources and supposed to be definitive. Subjects include: analysis, arithmetic, combinatorics, competition, decision, geometry, group, ...more>>

  25. The rec.puzzles Archive - Massachusetts Institute of Technology (M.I.T.)
    A list of puzzles, categorized by subject area, from the newsgroup rec.puzzles. Puzzles include solutions compiled from various sources, supposed to be definitive. Subjects include analysis, arithmetic, combinatorics, competition, decision, geometry, ...more>>

  26. rec.puzzles FAQs by Newsgroup - Dept. of Computer Science, Universiteit Utrecht
    Information on the following topics: crosswords, analysis, arithmetic, combinatorics, competition, cryptology, decision, geometry, group, induction, Instructions, language, logic, physics, Pickover (Cliff), probability, real-life, references, series, ...more>>

  27. Recreational Mathematics - David Eppstein, Theory Group, ICS, UC Irvine
    Some Web resources for recreational math, including links to Eppstein's pages own (Number Theory, Combinatorial Game Theory, and The Geometry Junkyard) and to pages by others. ...more>>

  28. Recreational Mathematics Topics - Steven Dutch; University of Wisconsin - Green Bay
    Contents: Symmetry, Crystals, Polyhedra and Tilings: an extensive, illustrated collection including reflectional and rotational symmetry; repeating patterns in two and three dimensions; building crystal forms with unit cells; regular, Archimedean, radial, ...more>>

  29. Rectangle Pattern Challenges - Cynthia Lanius
    Examine different stges of rectangle patterns, and describe what you must do to get from one to the next. Observe the designs looking for patterns. Use the symmetry of the design to help you count. Organize your information into a table. On square grid ...more>>

  30. Rectangle Perimeter and Side Length - NASA Lewis Learning Technologies Project
    A rectangle with a perimeter of 24 inches might have adjacent sides measuring: 6 inches and 4 inches; 11 inches and 13 inches; 9 inches and 3 inches; or, 2 inches and 12 inches? A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test. ...more>>

  31. Rectangular Parallelepiped, Cube Formulas (Ask Dr. Math FAQ) - Math Forum
    Formulas for finding the surface area and volume of a rectangular parallelepiped and a cube. ...more>>

  32. Rectilinear Geometry (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine
    An extensive annotated list of links to material on geometric problems defined on squares and rectangles, higher dimensional boxes, cubes, and hypercubes, right triangles and other right-angled figures, and "taxicab geometry" in which distances are measured ...more>>

  33. A Recursive Process - Dan Anderson
    Anderson's blog, which dates back to June of 2010, has included posts such as "Robocode & Math," "Standards Based Grading," "Cake:Frosting (A look into a proper ratio of real math:cool tech)," "Paper Towels WCYDWT (What Can You Do With This?)," "Two ...more>>

  34. Recursos de Matemáticas en Internet - Flavio P.
    Información buscable, dividida en categorías que contienen enlaces comentados: altas, actividades, actualización, apuntes, buscadores, congresos, debate, enlaces, Escher, fractales, historia, lista general, Olimpiadas, publicaciones, ...more>>

  35. Recycling Topology - Ivars Peterson (MathLand)
    It's hard to miss the triangle of three bent arrows that signifies recycling. It appears in newspapers and magazines and on bottles, envelopes, cardboard cartons, and other containers. But have you noticed that there are two versions of this ubiquitous ...more>>

  36. Redecorator Fractal Wallpaper Manager - Seraline P/L, Sydney, Australia.
    A wallpaper manager, or randomizer, and image creator for Windows 95/98/NT/2000. Redecorator can change your desktop wallpaper as often as you like, creating seamless tiles and fractals. ...more>>

  37. Reference Notes - Department of Mathematics, Cal. State U. San Bernardino (CSUSB)
    Notes on set theory, symbolic logic, methods of proof, basic proofs, functions, relations, binary operations, and groups. Also, Math Tools for practicing modular arithmetic and truth tables, or for solving Diophantine equations. Search the Notes, or scan ...more>>

  38. Reflections in the Plane - Bridget Dunbar
    Blog by an instructional resource teacher in a middle school in Maryland. Dunbar describes herself as having "loved math my entire life" and a person who does not "remember having a bad teacher — only teachers who made me love math more. I even ...more>>

  39. Reflections in the Why - Chris Hunter
    Blog by a K12 numeracy helping teacher in Vancouver. Posts, which date back to September, 2010, have included "Linear Functions — Concretely, Pictorially, Symbolically"; "Math Manipulative of the Month — Base Ten Blocks"; "A Linear Functions ...more>>

  40. Reflections of a High School Math Teacher - Dave Sladkey
    Blog by a teacher at Naperville (Illinois) Central High School. Posts, which date back to March, 2008, have included "Thinking Blocks," "School is a Place to Learn from your Mistakes," "More on When Students Teach," "Pop Goes the Weasel and the Quadratic ...more>>

  41. Reflections on Deep Blue - Keith Devlin (Devlin's Angle)
    We generally assume that the ability to play a good game of chess requires intelligence when it comes to people. Why not for chess-playing machines as well? Well, here is one argument that shows that things are not so simple. One aspect of human intelligence, ...more>>

  42. Reflections on Holes in Graphs and Reasoning - Zach Cresswell
    Blog by a Michigan teacher of AP Calculus, Pre-calculus, and Algebra II who has taken graduate courses such as "Creativity in Teaching & Learning." Posts, which date back to May, 2013, have included "Trying a bit of '3 Act Math'"; "Multiple Methods for ...more>>

  43. Reform Calculus Resources - Harel Barzilai
    Many printable activities and worksheets, some with solutions, long-term student projects, capsules and tutorials, and resources for instructors including a sample second-semester calculus course with in-class groupwork activities, projects, and student ...more>>

  44. Regression Applet - R. Webster West, Dept. of Statistics, Univ. of South Carolina
    An applet designed to teach students the effect of leverage points on a regression line. Students may add points to the plot by clicking the mouse button. By adding points far from the existing line, the regression line changes considerably. This is particularly ...more>>

  45. Regular Polygon Formulas (Ask Dr. Math FAQ) - Math Forum
    Formulas for finding the area, perimeter, etc. of a regular polygon, and constructing regular polygons with compass and straightedge, in particular the pentagon. ...more>>

  46. Regular Polyhedra: Formulas (Ask Dr. Math FAQ) - Math Forum
    Formulas for finding the surface area, perimeter, volume, etc. of regular polyhedra: tetrahedron, cube, octahedron, dodecahedron, icosahedron. ...more>>

  47. Re-Inventing Fourth-Grade Mathematics - Jack J. Lopez; Kodak
    A series of four related activities through which students acquired a firm, active knowledge of some of the basic terminology of Euclidean geometry, learning the vocabulary for describing various geometric shapes and transformations. Students photographed ...more>>

  48. Relatively Prime - Samuel Hansen
    A series of audio shows "all about the stories behind mathematics," as gathered from interviews with Fields Medalists, composers, "stand-up mathematicians," and others. Listen to hour-long segments "from the mathematical domain" such as "Chinook," about ...more>>

  49. Relative Prime Applet (MSTE) - Nicholas Exner; University of Illinois at Urbana-Champaign (UIUC)
    A Java applet that compairs pairs of numbers to see whether they are relatively prime. The main goal of this action is to demonstrate the theorem that the probability of two positive integers chosen at random being relatively prime is six divided by pi ...more>>

  50. Relativity - Brian K. Wegley; Glenbrook South High School, Glenview, IL
    High-energy high school physics: an open-ended investigative study of relativity. Site contains a summary, scenario, student pages, and useful Internet links, as well as a list of standards addressed, and assessment rubrics. Part of the Handbook of Engaged ...more>>

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