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All Sites - 389 items found, showing 251 to 300
 Polygons: formality and intuition - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny A discussion of the definition of a polygon (is it desirable to allow overlapping vertices?), mathematical notation, an interactive exploration of Grünbaum's transformation and a generalization of Napoleon's Theorem, billiard tables, and the flexibility ...more>> Polygons Made To Order (SMILE) - Loretta Malone, Washington High School A lesson designed to teach students to construct a regular polygon inscribed in a circle by using isosceles triangles with vertex angles at the center of the circle and legs as radii; determine the values of the angles; and discover that as the number ...more>> PolygonTrix - John Miller A "polygon billiards" app for the iPad. Sink simple straight-in shots, without any deflections; challenge yourself to bank the cue ball into the pocket after as many as ten caroms off the bumpers; or explore the developer's exercises. Switch amongst a ...more>> Polyhedra and Polytopes (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine An extensive annotated list of links to material on geometric properties of polygons, polyhedra, and higher dimensional polytopes (particularly convex polytopes). ...more>> Polyominoes - Cynthia Lanius What do dominoes and Tetris have in common? Both games use pieces that are formed of squares placed side by side. Dominoes use 2 squares; Tetris pieces (or tetrominoes) use 4 squares. Mathematician Solomon Golomb, in a 1953 talk at the Harvard Mathematics ...more>> Polyominoes - Kevin Gong Information and Polyominoes software to download. A polyomino is a piece made up entirely of squares connected edge-to-edge. For example, a domino is a polyomino with 2 squares. In this program, you can use pentominoes, tetrominoes, trominoes, hexominoes, ...more>> PowerPoint Tools - Don Link Don Link, a sixth grade math teacher at Indian Creek School (Crownsville, Maryland), shares these PowerPoint files that he has developed and used with his students. Includes: A Geometric Proof of the Pythagorean Theorem; Exponents; Jeopardy Template; ...more>> Primary Geometry (SMILE) - Barbara Pitra, Marconi Community Academy A lesson designed to teach students to name, identify and categorize geometric shapes (triangle, square and rectangle) by the number and length of the sides; identify triangles, squares and rectangles in their environment; through observation, comparison ...more>> Problem at the Art Gallery - Ivars Peterson (MathLand) The Crystal Art Gallery was being readied for its grand opening, and I had to figure out how many guards were needed to make sure that every wall of paintings was under scrutiny. I was also ordered to keep costs as low as possible. The trouble was that ...more>> Problem Pictures - Richard Phillips A CD-ROM 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 ...more>> The Problem Site - Douglas Twitchell Math puzzles, brainteasers, strategy games, web quizzes, and informational pages. Flash-powered math games include Adders, Zap (slide tiles to move digits and add up to a specified sum), Side By Side (number re-arrangement), One To Ten (given four numbers, ...more>> Problem Solving Island - Samuel A. Rebelsky Challenging open-ended word problems on the topics of games, such as Blockade, Finger Multiplication, and The Word Pyramid; puzzles such as Error Correction, Error Detection, The Fake Coin, Friday the 13th, and Leap Birthdays; and problems based on figures, ...more>> Problem Solving with Heron's Formula - Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia A paper on the development and demonstration of Heron's formula for the area of a triangle given the lengths of its three sides. Problems and explorations are included for using Heron's formula. ...more>> Progetto Rhoda - Emilio Brengio "Numeri con qualità." Software (.exe) per la didattica della matematica nella scuola elementare: problemi; operazioni; geometria; logica; procedure e verifiche; poligoni, angoli, perimetri, e aree; e giochi. ...more>> Project IMPULS - Tokyo Gakugei University Project IMPULS (Project for International Math-teacher Professionalization Using Lesson Study) offers opportunities and ideas for mathematics teachers using lesson study. The library includes lesson study about positive and negative numbers; division; ...more>> Project MATHEMATICS! - Apostol, Blinn, Corrigan, California Institute of Technology Videotape-and-workbook modules that explore basic topics in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. The tapes use live action, music, special effects, and imaginative computer animation, and are distributed ...more>> A Proof of Pythagoras' Theorem - Michal Wojcik A geometric proof of Pythagoras' Theorem written in HTML with one graphical image. ...more>> A Proof of the Pythagorean Theorem by Liu Hui (third century A.D.) - Donald B. Wagner Web version of an article which appeared in Historia mathematica, 1985, 12, pp. 71-3. Includes Chinese characters, which were not in the published version. Some statements here are no longer up to date, but the article has not been significantly modified. ...more>> A Proof of the Pythagorean Theorem - Isaac Reed One of the most famous theorems in mathematics, the Pythagorean theorem has many proofs. Presented here is one that relies on Euclidean algebraic geometry and is thus beautifully simple. ...more>> Proof of the Pythagorean Theorem (Math Exploration Quilt) - Rik Littlefield; Hanford School Proof by the scaling law. ...more>> Proof of the Pythagorean Theorem - Rik Blok Pythagorean theorem: in a right triangle the square of the hypotenuse is equal to the sum of the squares of the sides containing the right angle. Two proofs: one by a construction, and one by the method of similar triangles. ...more>> Properties Of Quadrilaterals (SMILE) - Margaret A. Olson, Morgan Park High School A lesson designed to teach the names, definitions, and properties of quadrilaterals, and how to apply the correct property to each different quadrilateral. From the Geometry and Measurement section of a collection of almost 200 single concept lessons ...more>> Ptolemy's Ptools - ThinkQuest 1998 Easy-to-understand math projects for students to do by themselves or with adult direction. Triangle investigations of the perspectives of the 3D video games Star Fleet Academy, Quake II, and Sub Culture Submarine Adventure. "Quadrant projects" involve ...more>> Purplemath - Your Algebra Resource - Elizabeth Stapel Algebra modules provide lessons, practical tips, hints, worked examples, and point out common mistakes in basic triangle length (trigonometry) values, calculators (what model to buy), canceling units, domain and range, exponents, factoring quadratics, ...more>> Pythagoras' Haven - Jim Morey Step through a geometrical Java applet proof of the Pythagoraean theorem - the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. ...more>> Pythagoras Plays Ball - Ivars Peterson (MathLand) Spring, baseball, statistics, math. In many ways, baseball is a numbers game: Strikeouts, home runs, batting averages, innings pitched, complete games, earned run averages, number of players left on base in scoring position in the bottom of the ninth ...more>> Pythagoras' Theorem: Elaboration on the Similarity Argument - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny Euclid included two proofs of the Pythagorean theorem in his Elements. A better known Proposition I.47 (Bride's chair) and VI.31 which is consistently overlooked in the introductory geometry courses. The latter, however, renders the theorem virtually ...more>> Pythagorean Puzzle (SMILE) - Earl Zwicker, Illinois Institute of Technology A lesson that models the phenomenological approach to enable students to prove the Pythagorean Theorem on their own using puzzle pieces and working together. From the Geometry and Measurement and Algebra and Trigonometry sections of a collection of almost ...more>> The Pythagorean Theorem and the Maya Long Count - Charles Wm. Johnson; Science in Ancient Artwork - Various essays dealing with the possible extension of the Pythagorean Theorem to the third power in relation to the mathematical and geometrical appearance of the Maya long count fractals within progressive series of right triangles. It would appear that ...more>> Pythagorean Theorem Animated Voice Demo - Chris Beall Animted deerivation of the Pythagorean Theorem. ...more>> Pythagorean Theorem - Bellevue Community College A brief illustrated page describing the theorem, with a little historical background and a proof. ...more>> Pythagorean Theorem - Greg Huberty, Univ. of Georgia President James Garfield is credited with a proof of the Pythagorean theorem unlike other proofs in that it does not use squares of the sides; rather, it uses two triangles of sides a, b, and c along with a triangle with legs of c to create a trapezoid. ...more>> Pythagorean Theorem (Manipula Math) - International Education Software (IES) Java applets for experimenting with shifting, rotating, and moving pieces of quadrilaterals to prove the Pythagorean Theorem. ...more>> The Pythagorean Theorem (MSTE) - J. T. Johns; University of Illinois at Urbana-Champaign (UIUC) Developing the Chinese proof of the Pythagorean theorem using the Geometer's Sketchpad. Students, each using a computer, are led through it by the worksheet supplied. ...more>> Pythagorean Theorem - Over 20 Proofs - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny A general exposition of the Pythagorean theorem, with proofs from Euclid to Garfield - and more. Also links to other sites on the Web with proofs. ...more>> Pythagorean Theorem Proofs - Math Forum, Ask Dr. Math Common Question A selection of answers to questions about proofs of the Pythagorean Theorem, such as "Do you know the exact number of proofs of the Pythagorean Theorem in existence?" and "Why doesn't the Pythagorean theorem work for triangles other than right triangles?" ...more>> Pythagorean Theorem - Warren F. Davis, Davis Associates, Inc. An animated, non-mathematical, annotated proof of the Pythagorean Theorem, assumed to be the method of proof actually used by Pythagoras circa 550 BCE (see the Bronowski reference). ...more>> Quadramania - CleverMedia Use tiles of different shapes to form rectangles and earn points -- ten times the square of the total number of tiles in the rectangle. Requires the Flash plug-in. ...more>> Quadrilateral Classification - Math Forum, Ask Dr. Math Common Question A selection of answers to questions about how to classify quadrilaterals, such as "Are squares rectangles? Are rectangles squares? ...more>> Quilt Block Patterns - Hester Butler-Ehle Links to a variety of quilt block patterns (four-patch, five-patch, nine-patch, and more). Several are suitable for replication using pattern blocks. ...more>> Quilt Design Program Mini-Reviews - Robert G. Holland, The Virtual Quilt Company A brief review of several quilt design programs. Links permit you to download a demo version of some programs. Quilt-Pro is the Windows-based program of choice. ...more>> Quiz Me - D. Kell and Mercer County Community College Interactive quizzes constructed using software provided by Addison Wesley Longman Publishers. Auto-scoring, multiple choice self-tests on whole numbers (place value, operations, applications, rounding, roots and order of operations); fractions (equivalencies, ...more>> Randomness and Geometric Probability (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine An extensive annotated list of links to material on randomness and geometric probability: Buffon's needle; random domino tilings; random polygons, etc. ...more>> 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>> 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>> 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>> 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>> Religious Beliefs Made Visual: Geometry and Islam - Jane Norman, Consultant, Metropolitan Museum of Art Although the shapes and structures are based on the geometry of Euclid and other Greek mathematicians, Islamic artists used them to create visual statements about religious ideas. A discussion of the use of geometric motifs in Islamic art, with instructions ...more>> Research Ideas - George Gadanidis Disseminating math education research through performance, and studying the process and impact of research performance. Funded by the Fields Institute, Random Acts of Math brings math ideas to young children and their parents. Music videos of the Math ...more>> The Right-Angle Triangle Solver - Steve Ayers Input two sides of a right triangle, or one of its sides and one of its angles, and this site calculates the remaining sidelengths and angles. Also, convert decimals and fractions, and imperial and metric units of measure. Requires JavaScript. ...more>>
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