 Napier's Rods (SMILE)  Irene Santos, Alexander Graham School
A lesson for the elementary grades designed to reinforce multiplication facts; examine Napier's Rods in relation to multiplication; and enhance students' ability to understand place value. From the Recreational and Creative Math section of a collection
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 NASA KIDS  Science @ NASA
Puzzles, games, and science stories for students in grades 58, from the U.S. National Aeronautics and Space Administration. Students can earn certificates by joining the NASA KIDS Club and completing its learning activities. Mathematics teachers can
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 National Library of Virtual Manipulatives for Interactive Mathematics (NLVM)  Cannon et al., Principal Investigators; Utah State University
Java applets and other virtual manipulatives cover mathematics appropriate to grades K12, with a special emphasis on K8. Browse by grade band or by math topic: number and operations, algebra, geometry, measurement, and data analysis and probability.
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 A 'New Set of Numbers' (An Introduction of Integers) (SMILE)  Barbara Barlow, Caldwell School
A lesson for grade 6 designed to teach students to add and subtract positive and
negative integers. 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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 NICSI Mountain  Kay Emerson, Evan McKenna Foundation
NICSI (Now I Can See It) Mountain is a 3D math manipulative that allows students to visualize and kinesthetically explore abstract concepts such as rates of change, fractions, ratios, commmon multiples, factoring, graphing, and linear equations. It consists
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 Number Addition Race (SMILE)  Janice Schaults, Randolph Magnet School
A lesson for elementary students designed to teach addition: students solve addition word problems relevant to their experience and participate in an addition game that uses a phenomenological approach. From the Arithmetic section of a collection of almost
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 numbermaze  Mike Reilly & Jenks Norwalk
A Sudokulike maze puzzle that uses the number pattern from a clock face, one through twelve. Link these numbers in either direction – clockwise or counterclockwise – through the maze to solve the puzzle. Read complete rules, path strategy, hints, and
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 Number Up (SMILE)  Ernestine Bickham, Maria Saucedo Magnet School
A lesson for grades 78 that uses a deck of cards to help students practice addition, subtraction, multiplication, and division of whole numbers, and order of operations. From the Recreational and Creative Math section of a collection of almost 200 single
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 NUMDRUM  John T. Harrison
The "Numdrum" helps children understand addition, subtraction, and other fundamental arithmetic concepts. An alternative to the number line and the 10 x 10 number square, this "decimal helical number line" lists integers around a tube, ten to a turn,
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 Numicon  Numicon, Ltd.
By representing numbers as shapes, Numicon's teaching program addresses different learning strengths with a multisensory approach. Download free mathematics display resources (for bulletin boards and the like); topics include Numicon shapes, pattern
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 Odometers and the Place Value Chart (SMILE)  Donna BronsonCochran, George B. Swift School
A lesson designed to teach students to add decimals with the use of the odometer; place given numbers on the place value chart; and add numbers to the millionths on the calculator. From the Arithmetic section of a collection of almost 200 single concept
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 Online Catalog  Creative Publications
Educational publishers of MathLand (K6) and Mathscape (68) curricula, supplemental resources, and manipulatives. Teachers' lounge, professional development information, workshops and conferences, and product and ordering information.
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 Oranges Project Page  Debbie Lewis; The Levering School, Philadelphia, PA
An eighth grade project. Students use measurement to investigate the proportional relationship between the edible part of an orange and the peel or inedible part of a orange. They investigate different types of oranges such as navel, blood, and clementines
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 Orig4mi  Jorge C. Lucero
Origami na ciência, tecnologia e design. Desde outubro, 2008, este profesor da Universidade de Brasília tem escrito neste blog artigos diversos sobre origami, inclusive abrigos dobráveis de bambu, origami com moléculas de DNA,
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 Origami Mathematics  Tom Hull
Information on origami and the mathematics of paper folding. With an origami math bibliography and pictures and tutorials in origami geometric construction, as well as links to other origami sites and events.
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 Origami Page  Joseph Wu
Origami is the art of paper folding. The word is Japanese, literally meaning "to fold" (oru) "paper" (kami). Links to photo galleries, information on origami, files and diagrams, other origami home pages, and areas related to origami (A paper on Molecular
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 OrigamiUSA
Resources for origami enthusiasts and for those just learning the art of paper folding: Events (calendar, convention, and exhibit information); Resources (model index, links, email discussion list, folding groups directory, and lending library); Shopping
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 Pantagraph (Manipula Math)  International Education Software (IES)
A pantograph is a drawing instrument for magnifying figures. Using the applet on this page, by moving the red point to trace an original figure you can automatically obtain a magnified figure with the pen at the blue point.
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 Paper Cup Mathematics  Jerry Neidenbach, Sue Harvey, and Marilyn McArthur; Park City Mathematics Institute
In this classroom activity, a PCMI Resource for Teachers, students investigate whether paper cups roll out the pattern of an annulus and how you can tell, how the dimensions of the cup relate to the dimensions of the annulus, and whether you can predict
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 paperfolding.com  Eric Andersen
Learn to fold origami from diagrams; read about the history of paperfolding, including the origin of the term "origami." The origami & math essay contains sections such as Origami, Geometry, and the Kawasaki Theorem; and Origami and Topology.
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 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 Models of Polyhedra  Gijs Korthals Altes
Dozens of paper models of polyhedra: Platonic and Archimedean solids, compounds, caleidocyli, and more. Print the images, cut, and glue them together, or download the models in zipped CorelDraw or GIF format.
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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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 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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 Pathfinder Services, Inc.
An Indianabased nonprofit which, among other projects, creates mathematics teaching aids, including Recycled Math Manipulatives, Fraction Islands, Pattern Blocks Plus, and Polyhedra Plus. Full descriptions and ordering information are provided. They
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 Pavilion of Polyhedreality  George W. Hart
A page of images of polyhedra from the author of Multidimensional Analysis and the Encyclopedia of Polyhedra. Constructions from wood, paper, paper clips, pencils, food and forks. The is also an extensive linked list of other Web pages related to polyhedra
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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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 The Pentagon Universe (Penrose tiles and more)  Kadon Enterprises, Inc.
Manipulatives based on Penrose tiles, golden triangles and other tilings based on the golden ratio.
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 Pentangle  U.K.
To buy: wooden, mechanical, interlocking, mathematical and logical thinking puzzles; brainteasers, games, toys, gifts, threedimensional puzzles, promotional items, and collectors' puzzles,
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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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 Pentomino Relationships  Adrian Smith
The site describes how pentominoes (twelve pieces of wood, each a different shape and each made of five cubes) fit together into rectangles or cuboids, as well as the subsequent challenge of finding as many other solutions as possible from the one just
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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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 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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 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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 'Picture This': Tangram Puzzles  Sarah A. Keith
Each week a new tangram puzzle is featured in "Picture This" in the Sunday cartoon section of newspapers worldwide. Children are invited to mail their tangrams for possible inclusion, and to be featured in the Kid's Gallery on the Web. Read the legend
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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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 Place Value Chart  Ulrich Kortenkamp
Tap below this interactive place value chart app's headers labeled "ones," "tens," and "hundreds" to create tokens and begin experiencing bundling and debundling in our decimal number system. Compatible with the Apple iPhone, iPod, and iPad; also available
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 Place Value: K3  Andra McLeod
A "box full" of place value manipulatives for the classroom, with descripion, lesson ideas, and objectives listed for each of five types of manipulative.
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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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 Platonische Körper  Klaus Bernt
Nets of the Platonic solids to fold. Download in postscript format for printing. In German.
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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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 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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 Polydron
British vendors of two and three dimensional, handson, geometric modelling systems and other geometric toys. Polydron Corporation history, online catalogue, and order form. To purchase Polydron products in the United States, contact Polydron International
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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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