 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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 Population Education  Population Connection
Browse the Population Connection's catalog for population education teaching materials and posters. The library contains newsletters, quick facts, reference materials such as free activities and frequently asked questions, quizzes, and more. Population
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 Positive and negative Euler characteristic (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
A symmetry pattern on the sphere always gives rise to a quotient orbifold with positive Euler characteristic. In fact, if the order of symmetry is k, then the Euler characteristic of the quotient orbifold is 2/k, since the Euler characteristic of the
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 Positive and Negative Numbers (SMILE)  Lincoln R. Siegel, Cregier High School
A lesson designed to teach students using concrete examples that zero is not the lowest number used in mathematics or real life, and that there are negative numbers and how to use them. From the Algebra and Trigonometry section of a collection of almost
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 PositiveNegative Charge Model For Integers (SMILE)  Barbara Williams, J. N. Thorp School
A lesson designed to teach students to represent operations on integers with positive and negative charges. From the Algebra and Trigonometry section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning
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 The PostCALC Project  Duke University
The PostCALC Project is a branch of the Connected Curriculum Library that presents interactive, mathematicallybased modules designed for high school students who have finished a yearlong course in calculus. These modules, each appropriate for several
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 Powers of 10  Michael W. Davidson, The Florida State University
This telescoping Java applet illustrates powers of ten. View the Milky Way at 10 million light years from the Earth, move through space towards the Earth in successive orders of magnitude until you reach a tall oak tree  then begin to move from the
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 PreCalc/Calculus (Math for Morons Like Us)  ThinkQuest 1998
Lists of important concepts, a quick reference sheet with key calculus formulas, and a calculus message board.
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 PreCalculus: A Teacher Quality Grant Project  State of Texas, Texas Higher Education Coordinating Board
A precalculus "courseinabox" for all teachers, particularly those new to teaching precalculus under the guidelines of the Texas Essential Knowledge & Skills (TEKS). It includes content information, activity sheets, videos of best teaching practices,
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 The Precalculus Page
Lesson plans and staff development activities with a problemsolving approach to precalculus, with materials on logarithms, the binomial theorem, and the law of sines, and problems (without answers) on algebra, exponential and logarithmic functions, other
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 The Precalculus Weblet  Dynamic Educational Materials
A partially online precalculus course with the following centers: Instruction (extending the instructional opportunities beyond the textbook; see Explore the Concepts and Starred Exercises), Reference (technology, glossary, history, sites that complement
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 Preschool and Kindergarten Math  Elaine Engerdahl
Early childhood math lesson plans and accompanying manipulatives. Full themes include Bugs, Dinosaurs, Space and Robots, Apples and Numbers, and Three Little Pigs and Fairy Tales; minithemes include Nursery Rhymes, Safety, and topical holidays. Watch
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 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
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 Primary Understanding and Use of Place Value (SMILE)  Eleanor Brzozowski, Hanson Park School
A lesson designed to teach students about some of the peoples that have
contributed to the development of modern arithmetic (number systems); to provide a better understanding of our base 10 number system and its application to real life problems; and
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 Prime and Composite Numbers (SMILE)  Charlotte Goldwater, Kenwood Academy
A lesson for grades 59 that presents a systematic method of deciding whether a number is prime. 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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 Prime Time  Georgia Louviere
Student activities and teachers' pages designed to teach students to identify the first 25 prime numbers by using the "sieve" method first used by Eratosthenes, to explain why the number one is neither prime nor composite, and to demonstrate why the number
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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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 Proactive Play  Punitha Jayaraman
Articles on cognitive development research into, and activities to improve, spatial skills. Posts, which date back to October, 2012, have included "Hari Builds with Construction Set," "Piaget and van Hiele: Compare, Contrast and My Thoughts ...," "Hari's
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 Probability  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A short essay on probability theory, with links to some wellknown problems: Monty Hall Dilemma; Three pancakes problem; Lewis Carroll's problem; Bertrand's Paradox; Bear cubs problem; Misuse and Misconception of Statistics; Pauling's joke; Probability
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 Probability of Childhood Games (SMILE)  Robert Foote, Disney Magnet School
A lesson for grades 68 designed to explore the probability of several different events theoretically and experimentally using spinners and a Monopoly game board. From the Probability and Statistics section of a collection of almost 200 single concept
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 Probability (SMILE)  Ana Timbers, Stockton School
A lesson for grades 68 designed to teach students the relation between theoretical probability and experimental results as they draw marbles from a bag and record the results. From the Probability and Statistics section of a collection of almost 200
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 Probability (SMILE)  Emily Turner, Joplin Elementary School
A lesson designed to teach students to understand the concept of probability and the basic probability formula; and to predict the possible outcomes of an event. From the Probability and Statistics section of a collection of almost 200 single concept
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 Probability (SMILE)  Laura Willis Moss, South Shore Community Academy
A lesson designed to teach students to derive a general formula for the probability of a given event when each possible outcome is equally likely. From the Probability and Statistics section of a collection of almost 200 single concept lessons by the
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 Probability (SMILE)  Sandy Reed, Robert Fulton School
A lesson for grades 58 designed to help students learn, discover, explore and make a table of the number of times a specific event can occur, considering the results of two types of events: repeated sampling with replacement (events are independent)
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 Probability/Statistics: First Semester Project  Lisa Stanfill; Math Forum Teacher Exchange
A culminating project developed as part of a probability and statistics class, designed to help students put the topics of data collection, organization, presentation and interpretation together to see how and why learning that content is important.
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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 (SMILE)  Marilyn McCree, District 12
A lesson that uses a grocery store in the classroom to teach students to solve word problems using addition, subtraction, multiplication or division. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the
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 Problem Solving
(SMILE)  Patricia Rogers, Edward Hartigan School
A lesson designed to demonstrate some common ways problems can be solved; to list some basic steps in problem solving; and to suggest some useful strategies for solving word problems. From the Practical and Applied Math section of a collection of almost
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