 PaperFoldingFractals  Joel Castellanos, Rice University
A classroom teaching or personal learning software tool for Windows that can be an introductory lesson to fractals. Simple, stepbystep processes of paper folding can give rise to infinite verities of fractals. The user learns what fractals are and how
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 Paper Folding to Make Cubes (SMILE)  Koshy Kanicherilnalil, Chicago Public Schools
A lesson designed to develop students' ability to visualize threedimensional objects from twodimensional patterns by examining patterns of figures composed of six squares; predicting which of the twenty presented could be folded to make a cube; and
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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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 Paper Toss Shootout (SMILE)  Edwina R. Justice, Gunsaulus Scholastic Academy
A lesson for grade 8 designed to teach students to use class data to calculate percentages; participate in a group activity; relate this activity to NBA (National Basketball Association) stats; and calculate select percentages for NBA Finals data. From
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 Parabolic Path to a Best BestFit Line  Jeff Reinhardt and Joe Simons
To find the best bestfit line for a set of data, students will determine the line that minimizes the sum of the squared deviations from the observed data to that line. This activity uses dynamic statistical software (Fathom™ 2) to engage students in
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 Parallel lines and Angles (SMILE)  Earl M. Singleton, III, Daniel Hale Williams School
A lesson designed to teach students to identify the names and measurement of angles formed when parallel lines are intersected by a transversal. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science
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 Parent's Page  Chicago System Initiative (CSI)
A list of informative sites for parents who have questions about parenting and how to get involved in their children's education. Topics include Family Math (a page on math education); Helping your child learn math; Math and Your Child (information on
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 Paso Partners: Integrating Mathematics, Science, and Language  Southwest Educational Development Laboratory (SEDL)
A twovolume curriculum and resources guide for K3 educators, designed to help teachers increase achievement of Hispanic children whose first language is not English. Preceding each complete unit in English is a Spanish version of background information
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 Passy's World of Mathematics
Lesson outlines by this Australianborn math teacher include Venn diagram word problems, combining like terms, translate word equations, and isometric drawing and 3d cubes; PowerPoint presentations include traversable networks, sharing using ratios, real
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 PAT Online: Reports from the Practical Algebra Tutor Project  PACT Center, Carnegie Mellon University
An intelligent tutoring system, a sort of modified spreadsheet system, based on a theory of cognition developed by John Anderson and the NCTM standards. Try it out online, or: read articles about education, technology, and computer science; explore background
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 Pat's Math & Problem Solving Links  Pat McQuatty
Site recommendations from the math consultant for the Western Quebec School Board. See, in particular, Special Days (Hundredth Day of school, Math with the number 2000  twenty suggested math activities for the year 2000). Also mathrelated links for
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 Pattern Based Reason  Alan Selby
This book surveys rule and pattern based thought in daily life, society, science and technology. The first chapters show how reliable implication rules can be employed one at a time or one after another to arrive at conclusions. The middle chapters describe
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 Pattern  Drew, Wallace; Mathematics Across the Curriculum, Dartmouth College
An interdisciplinary course in textile design and elementary group theory. Syllabus, course pages (notes, figures, questions, group work and homework), final project and class artworks from a 1996 math and art crosscurricular class at Dartmouth College.
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 Pattern Exploration: Integrating Math and Science for the Middle School  Martin Logan et al.
Download PDFs of lesson plans from units such as The PascalSierpinski Connection, Branching Patterns in Trees, Lessons in Paper Folding, Fractal Wallhanging, Patterns in Nature, Scaling and Dimension, and more. With accompanying Java applets and Cabri
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 Patterns in Mathematics (Teachers' Lab)  Annenberg Media
This lab, based on the professional development series and workshops broadcast on the Annenberg/CPB Math and Science Project Channel, explores patterns as they occur in logic, numbers, and words, focusing on how to develop "function sense" without simply
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 Patterns, Patterns, Everywhere  Nina Heal
Three lesson plans: an internetbased research project on patterns; connections between the arts of M. C. Escher and quilters; and a technologyenriched tessellations lesson. Includes a teacher resource page with rubrics.
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 PBS Mathline: Math at the Movies
Math concepts, challenges, and more, from the movies. For kids: solve puzzles from the movies; explore movie math concepts; and learn about a movie career involving math. Teachers, there are teaching and assessment tips here as well, not directly connected
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 PBS TeacherLine  PBS
A professional development resource delivering courses online for PreK12 teachers. Find course dates, graduate credit opportunities, and other information. Download the course tour for a preview of the experience of taking a course. See also the Virtual
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 PBS Teachers: Math  PBS Teachers
The Public Broadcasting System's Math Service, combining computing and telecommunications technologies to offer interactive data services and interactive video and voice services for education based on the NCTM Standards. The site features: resources,
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 Pédagogie Mathématiques  Académie de Rennes
De nombreux documents pédagogiques (du collège au BTS), des jeux ainsi que d'excellents exemples d'utilisation des T.I.C.E. (technologies de l'information et de communication pour l'enseignement) des maths.
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 Pearson Learning  Dale Seymour Publications
A leading publisher of educational materials, emphasizing math, science, and the arts. The site contains: an online catalog; math curricula include: CMP (the Connected Mathematics Project) and Investigations (Investigations in Number, Data, and Space,
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 Peaucellier's Linkage  Evelyn Sander, for Math 5337, The Geometry Center
Peaucellier's Linkage is a simple toy that could be constructed using straight rods attached together. The lab gives instructions for constructing and studying the linkage in Sketchpad. It then uses Sketchpad to explore the geometric properties of inversion,
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 Pentominoes  Joan Callaway
Explorations of pentominoes, part of a sample lesson for the 7th grade "Weekly Workouts...with Math," one of three ...Ellipsis Middle School Math Summer Practice Programs.
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 Percentages (SMILE)  Emma Taylor, Douglass Math and Science Academy
A lesson for grades 56 designed to introduce students to percents; demonstrate how to change fractions to decimals; and show how to change decimals to percents. From the Arithmetic section of a collection of almost 200 single concept lessons by the Science
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 Percents: (An application to real life problems) (SMILE)  Lucille H. Chambers, Trumbull School
A lesson for grade 7 designed to teach students to find a percent of a number by multiplying by a fraction or a decimal equivalent to that percent. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the
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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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 Perspective Drawing  Jan Garner
An examination of geometry in art: exercises in drawing, pictures and paintings in perspective on the Web (Albrecht Dürer, the Ancient City of Athens exhibit).
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 Phenomenological Pizza (SMILE)  Robert Foote, Disney Magnet School
A lesson for the middle grades designed to teach students to calculate the area of a circle, find how many twotopping pizzas can be made using 14 toppings, and determine cost per square inch. From the Geometry and Measurement section of a collection
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 Phenomenological Probability (SMILE)  Robert Foote, Disney Magnet School
A lesson for grades 68 designed to find the difference between theoretical and experimental probability in three different experiments: rolling dice, using marbles and a spinner, and through a card trick. From the Probability and Statistics section of
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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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 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 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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 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 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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 Place Value (SMILE)  Ceopal Porter, Dr. Ralph J. Bunche School
A lesson for grade 2 designed to teach students to know the place value of the ones and the tens; to know how many ones are in one ten; and to be able to write numbers using more than one place value. From the Arithmetic section of a collection of almost
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 Place Value (SMILE)  Dwayne Belle, Fuller School
A lesson designed to teach students to identify the value of numerals through 10 digits. From the Arithmetic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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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 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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 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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 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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 PNC Grow Up Great  The PNC Financial Services Group, Inc.
Bilingual tips, activities, and videos of this corporate philanthropy's school readiness initiative aimed at preparing children from birth to age five for success in school and life. In particular, download a children's story that shows "math is everywhere,"
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 Poetry Patterns (TEAMS)  Jeannie Toshima; TEAMS Distance Learning, Los Angeles County Office of Education
Mathematical patterns in numbers and in poetry. This activity involves students in writing two forms of poetry  diamante and cinquain  that involve mathematical word patterns.
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 Polaroid Geometry Scavenger Hunt  Math Forum
This activity presented by Ruth Carver at the Math Forum's 1996 Summer Institute, "Constructing Mathematics on the Internet," displays pictures of items found on this a hunt for a list of geometric items (tessellations, symmetry, concentric circles, shapes,
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 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
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 Polyhedra (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
A polyhedron is the threedimensional version of a polygon, a threedimensional figure made by gluing polygons together. This handout discusses polyhedra, presents explorative activities, and supplies a "homework" assignment. Includes the first 20 Greek
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 Polynomials  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. Animations show how the Cartesian equation changes if the graph of a polynomial is translated or subjected
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 Pop Clock  Susan Boone
A lesson on data collection, problem solving, research skills, interpolation of data. Students review the Census Bureau's home page on the Internet and gather data regarding trends in population. They study these data and make predictions of future populations,
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