 Phi's Fascinating Figures  Ron Knott
More properties of the number Phi, its multiples and powers, continued fractions, formulae, and numerical relations between Phi and its powers.
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 Phi: That Golden Number  Mark Freitag, Univ. of Georgia
Phi can be found in many geometric shapes as an approximation of the Golden Ratio. A geometric figure commonly associated with Phi is the Golden Rectangle, which has sides A and B that are in proportion to the Golden Ratio. It has been said that the Golden
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 Photographic Polyhedron (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
As you stand in one place and look around, up, and down, there is a sphere's worth of directions you can look. One way to record what you see would be to construct a big sphere, with the image painted on the inside surface. To see the world as viewed
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 PhotoMath  Martha Jean Barrett; Kodak
A project where students created their own mathematical board games for use with younger or less advanced students, for grades 48. Working in teams, advanced students covered seven math categories: whole numbers, decimals, fractions, measurement, geometry,
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 PhotoMath  microblink
"Smart camera calculator" apps that use a cell phone's builtin camera to read mathematical expressions in real time, then output stepbystep solutions.
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 Physics Forums
Discussions emphasize physics, but "PF" also includes an entire directory on mathematics: General Math; Calculus & Analysis; Differential Equations; Linear & Abstract Algebra; Topology & Geometry; Set Theory, Logic, Probability, and Statistics;
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 The Physics of Baseball  Alan Nathan
Read about the benefits (or not) of corked bats, the differences between aluminum and wood bats, the issues involved with characterizing the performance of bats from a physics point of view, and a description of the collision between a wooden bat and
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 Pi = 3.14159...  Math Forum, Ask Dr. Math FAQ
What is Pi? Who first used Pi? How do you find it? How many digits is it?
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 Pi Across America  University of Phoenix
Join the "Pi Pilot" for a "journey to one of humankind's most intriguing and celebrated numbers." Activities include "The Great Chain of Pi," "Taking Pi to Court," "Your Place in Pi," "Freehand Circle Drawing Competition," "Pi Party," and "Pi Bee." Scenario
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 Pi and Square Roots  Don Cohen (The Mathman)
Kohler (a 5thgrader) follows Archimedes. A graph and a program for iterating the square root of 10. Sample problems with some answers from Chapter 10 of Don Cohen's worksheet book.
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 Pi Approximation Day Greeting Cards  123Greetings
123Greetings  Send Free Electronic Greeting Cards to Friends and Families all over the World. There are no images available for Pi Approximation Day, but backgrounds and a variety of slogans are available, and you can write your own.
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 Pi: A Source Book  J. Borwein, SpringerVerlag
A complete history of pi, with resources for teachers for anything from special topic courses to individual talks and special student projects. The literature on pi included in this source book falls into three classes: a selection of the mathematical
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 Pick a Digit, Any Digit  Ivars Peterson (MathTrek)
One of the most amazing mathematical results of the last few years was the discovery of a surprisingly simple formula for computing digits of the number pi. Unlike previously known methods, this one allows you to calculate isolated digits  without computing
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 Pick a number from 1 to 10 ... for SCIENCE!  Alec Perkins
"When asked 'pick a number from 1 to 10,' people tend to pick certain numbers more than others, in particular 7 and 4 over the extremes...." Participate by choosing your own number; see bar graphs and line plots of data submitted thus far according to
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 Picking Winners  Ivars Peterson (MathTrek)
One of the attractive features of spectator sports is the uncertainty of the outcome. Even when one team is overwhelmingly favored to win, the underdog may still come through with a surprising victory. Nonetheless, the ability to pick winners can be of
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 Pico Firme Bago  Evan M. Fuchs
A Flashbased logic/deduction game, similar to Mastermind. Originally created as an online version of a game used in the author's 5th grade class.
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 Pi Day  Herte; Finley Middle School, Glen Cove, NY
Pi Day is March 14th, a day to celebrate mathematics in school, to allow students to have fun while investigating mathematics concepts and being creative and even a little silly. This page describes a number of Pi Day activities. You are invited to email
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 Pi Day: Making a Pi Necklace  Diana Funke
Diana Funke teaches mathematics at Davisville Middle School in North Kingstown, RI. Her students make a Pi necklace for Pi Day to reinforce the idea that some numbers never repeat or end. They assign a color to each digit (including 0) and then string
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 Pi Day  Math Forum, Teacher2Teacher FAQ
Answers to a frequently asked question: What activities can I use for Pi Day?
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 The PiDye TShirt Shop  Josh Cummings
Purchase from a variety of pi and other math tshirts, mugs, clocks, etc., including the famous MathSpeak tshirt.
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 Pieces 'n Creases: A Fun Guide to Origami  Herring, Long, Haeggquist, Jeremy; ThinkQuest Junior
Contents include the history of origami; uses and benefits; terms, symbols, and tips; origami and peace; poems about origami; activities, and resources for folding paper. An awardwinning entry from Vidor Middle School.
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 The PiFactory  David Whitfield
Revision notes, boardshots, and Excel worksheets to download, from when the author used to teach in North London. The PiFactory includes an opensource assessment suite, classroom resources, and concept maps. The PiFactory conveniently pulls together
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 PiNation.com  Hugh Bell
A site to "... just enjoy pi. Leave the math aside. Don't even think about the circumference of a circle." Create unique representations of the decimal expansion of pi with the PiArt Tool: choose the color for each digit, the number of decimal places,
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 The Pi Pages  Centre for Experimental and Constructive Mathematics (CECM)
"Pi is one of the few concepts in mathematics whose mention evokes a response of recognition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty five
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 PiSearch
Search the first four billion binary digits of Pi for a string. Enter the string in hex (4 bit) or character (5 bit) format. Includes some statistics (probability of occurrence of characters, digits). Related links include articles and papers.
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 The Pi Song  Hester Lewellen
Pi Song audio and sheet music. This musical scale is aligned to the digits of pi.
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 PI Team Chess Game
A multiple player chess game. PI Team Chess builds strong problem solving,
critical thinking, math and teamwork skills. Site includes chess lesson plans, scholastic research on chess, and problem solving activities.
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 Pi Through the Ages  MacTutor Math History Archives
A history of pi: the Rhind papyrus (Egypt), Ptolemy, Tsu Ch'ung Chi, al'Khwarizmi, Al'Kashi, Viet, Romanus, Van Ceulen, Gregory, Shanks, Lambert, Euler, Buffon, and many more, with other Web sites and 30 references (books/articles).
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 The Pixel Calculator  METIP (Mathematics Experiences Through Image Processing) Project
The Pixel Calculator is intended primarily for use by students of ages 1217 in a variety of enrichment activities involving mathematics and digital image processing. It provides a good introduction for students to digital images by allowing students
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 PJ's Mathematical Gold Nuggets  Pam Strout; Bethel High School, Bethel, Connecticut
Links relating to K12 research topics in mathematics and mathematics teaching collected and usefully annotated by a mathematics teacher.
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 Place Value  Cut the Knot!, Alexander Bogomolny
Dictionary definitions of place value and what they lack; the emphasis on place value in the NCTM Standards; its importance in understanding our numeration system; how it arises from one of several possible representations of grouping in the counting
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 Place Value  Math Forum, Teacher2Teacher FAQ
Answers to a frequently asked question: How do I provide my students with practice on their place value skills?
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 Plane Geometry Web Pages  David Jaffe
Materials from a geometry course originally taught to future middle and high school teachers. Using definitions, theorems, proofs, and examples, the site introduces mappings; isometries and similarities; angles and trigonometry; congruence and similarity;
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 Plane Patterns  Ivars Peterson (MathTrek)
Exploring the link between mathematical symmetry and artistic effort. One and twodimensional repeating patterns appear ubiquitously on surfaces, from quilts and colored fabrics to pottery and ceramic tiles... Analyzing the symmetries that underlie such
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 Plastelina Logic Games  Plastelina
Free Flash games include classic constrained "crossing" problems, such as the puzzle of ferrying a wolf, a sheep, and a head of cabbage across a river in a boat that only holds any two of them at once, without leaving the wolf and sheep alone in each
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 Platonic Solids and Euler's Formula  Margo Lynn Mankus
The lesson plan for Platonic Solids and Euler's Formula offers definitions for simple closed surfaces, solids, and regular polyhedra. After observing platonic solids nets, students complete the provided (blank) table for recording vertices and edges of
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 The Platonic Solids and Polyhedra  Paul Flavin
The 5 Platonic Solids and one oddball polyhedron (a soccer ball). The kinship among the polyhedra is reflected in a 'family photo'. The polyhedra are laid out in a triangular pattern, with the tetrahedron alone in its row, joined with the other Platonic
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 The Platonic Solids Information Site  Dan Radin
Information, computer graphics, a computeranimated video, teaching tools, and links pertaining to the threedimensional geometry of the polyhedron in its many forms. Radin focuses particularly on the five Platonic solidsthe tetrahedron, the cube, the
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 Platonic Solids  Paul Bourke
Definitions, formulas, and illustrations of the threedimensional regular polyhedra: tetrahedron, octahedron, hexahedron (cube), icosahedron, dodecahedron, including the solids as drawn in Kepler's Mysterium Cosmographicum, and as represented in stone
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 Platonic Solids  Rüdiger Appel
Dwnload GIF animations, with shadow effects, of the five Platonic solids. Also available in German.
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 Platonische Körper  Klaus Bernt
Nets of the Platonic solids to fold. Download in postscript format for printing. In German.
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 Play a Piano : An interactive Musical Java Activity  Paul Flavin
Play a Piano / Synthesizer / Oscilloscope: Play the piano using your mouse or computer's keyboard. Watch the wave forms as well as hear them. This virtual reality Java piano lets you play the piano and have a little fun while learning the relation between
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 Play Ball (SMILE)  Roslyn N. Matthews, South Shore High School
A baseball lesson designed to teach students to compute batting and earned run averages; given general dimensions of the playing field and some equipment, change the units to the metric system; find the diagonal distance from 3rd base to 1st base; and
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 A Playground of Thoughts  Takasugi Shinji
Takasugi's "Number Systems of the World" lists dozens of languages; how to count from zero to one hundred in each; and the mathematical meaning of the expressions for each numeral. For example, the French say "93" with quatrevingttreize, which means
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 Play With Your Math  Kelly, JOEY; and Yu, Xi
Biweekly math problems that "require you to try, fail, and adjust many times before finding a solution." Each short, provocative question comes illustrated and ready to print out in large type on 33" × 40" dimensions: Space Race, Star Polygons,
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 Please Excuse My Dear Aunt Sally  Robert Owens
A stepbystep introduction to the mathematics behind the PEMDAS mnemonic. With examples, quizzes, and puzzles illustrating order of operations. A Wired@School project of The Franklin Institute Online Museum Educator program.
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 Plexagon  Pleated Hexagon  Paul Bourke, Ron Evans
Plexagon is a new modular geometry based on the radial pleating of polygonal plates, and their joining or cobracing into 3D modules. This engineering approach can form a very practical basis for modular greenhouses (using recycled plastic sheeting) and
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 Plotting Linear Equations  SPICE: StandardsBased Products for Interactive Classroom Education
An interactive workspace for graphing points, ordered pairs, lines, and planes. SPICE Online modules are constructed with three separate but functionally linked
areas, Instructions/Lessons, Display/Work Space, and Assessment. Detailed directions are
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 Plouffe's Inverter  Simon Plouffe
A database of more than 84,800,000 mathematical constants like Pi, Sqrt(2), Catalan and Euler's gamma. Enter a number, search or browse, and the programs will find what the number is made of. From the author of the Encyclopedia of Integer Sequences (with
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 Plumbing Statistics and Information  PlumbingSupply.com
Conversions, formulas, and tables about water weights, pressures, flows, volumes, horse power, pump efficiency, the weight of 100 yards of pipe filled with water, and flow rate to velocity comparisons. Also, a water flow rate guide and abbreviations.
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