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/Home/Professional Development/Teaching Resources/Collaborative Activities/Mathematics/Geometry A Gallery of Interactive On-Line Geometry Votes:0 Register: Tell Us What You Think Up: The Geometry Center Home Page Gallery of Interactive Geometry: In order to enjoy this exhibit, you will need a Web browser that understands graphical Fill-Out Forms. See our list of browsers for more information. WebPisces This web-based interface to the Pisces program allows you to compute implicitly defined curves in the plane. You can choose from several pre-defined functions, and can modify their parameters and domains. Build a Rainbow How are rainbows formed? Why do they only occur when the sun is behind the observer? If the sun is low on the horizon, at what angle in the sky should we expect to see a rainbow? This laboratory, developed as part of the University of Minnesota Calculus Initiative , helps to answer these and other questions by examini Read More Go to Site A Teacher's Guide to Building the Icosahedron Votes:0 Up: Course Materials from the Geometry Center A Teacher's Guide to Building the Icosahedron as a Class Project by Frederick J. Wicklin , (fjw@geom.umn.edu) The Geometry Center , University of Minnesota, September 1994. Next: Begin Teacher's Guide Table of Contents Introduction Materials needed Cutting the template Coloring the faces Assembling the structure Exercise: How big is your icoshedron? The Geometry Center's 6-foot icosahedron Variations Table of Figures An icosahedron Possible ways to cut one triangle from a rectangle Possible ways to arrange many triangles in a rectangle A makeshift compass A template for a triangle One face of the icosahedron The "net" for the icosahedron The Geometry Center's 6-foot icosahedron Up: Course Materials from the Geometry Center The Geometry Center H Read More Go to Site Chickscope 1.5: Explore: EggMath Votes:0 EggMath: Welcome to EggMath This is the EggMath version 1.5, a collection of web modules (including many interactive applets) covering different topics in mathematics related to eggs; it is intended for use in K-12 classrooms, as in the Chickscope project at the Beckman Institute. The current modules deal with: The Shape of an Egg , which includes discussions of surfaces of revolution and methods for drawing ovals in the plane: Symmetry and Cross-Sections (starting page) Surfaces of Revolution Ellipses with Pins and String Equations for an Ellipse Cartesian Ovals Cassini Ovals The White/Yolk Theorem (usually known as the ham sandwich theorem), which shows how any two regions in the plane can be equally divided: Dividing White and Yolk Fairly (starting page) Examples of the White/Yolk Theor Read More Go to Site CS 252 -- Spring 2005 Votes:0 The project demos and presentations will be on Monday May 16th in Lubrano. If you don't have a laptop and don't have a CS login, please send any slides and instructions for running the demo to me prior to the presentation. All the projects have been looked at and comments sent out. Revised projects are due next week (the day depends on whether Roberto and I marked yours on Friday or on Monday). The last homework is available and is due May 2. Projects are due today, April 18th. I will mark them as quickly as possible so you can prepare for the class presentation. You will have selected your project by now. You should have approval from Roberto before continuing. I've added several demo's of algorithms covered in class (or related to) in the lectures page . The first homework is graded. If Read More Go to Site CSUSB Math 129 home page, winter 1999 Votes:0 The Math 129 Home Page (Being revised. Revised pages have a 1999 date.) Geometry in 2 and 3 dimensions Syllabus Project description Definitions Lessons Equilateral Triangles and Beyond (Jan. 11, 1999) Constructing Perpendiculars (Jan. 13, 1999) Polygons (Jan. 20, 1999) Angles in Polygons and Tessellations (Jan. 27, 1999) Euclid and Proofs (Feb. 1, 1999) Tessellations by computer (Feb. 3) Measuring Triangles (Feb. 8, 1999) Triangle Congruence Theorems (Feb. 22, 1999) The Pythagorean Theorem (Feb. 22, 1999) The Golden Ratio (March 1, 1999) (possibly to be revised) Coordinate Systems for the Plane (Jan. 28, 1998) Vectors (Feb 4, 1998) Symmetry of Polyhedra (Feb. 18, 1997) Angle sums on a curved surface (Feb. 20, 1997) Coming someday: Stellations of polygons Polyhedra Symmetry Shears and area Read More Go to Site Cynthia Lanius' Lessons: Fraction Shapes Votes:0 Cynthia Lanius No Matter What Shape Your Fractions are In . | No Matter What Shape | Fun Fractions | Drawing Fun Fractions | Designer Fractions | | Teachers' Notes | Math Forum's Fraction Tour | More Math Lessons | Determining the Relations Use the online pattern blocks to answer the following questions. How many are in ? How many are in ? How many are in ? How many are in ? How many are in ? How many are in ? Based on these relations, If = 1, = ___ . If = 1, = ___ . If = 1, = ___ . If = 1, = ___ . Check your answers. | No Matter What Shape | Fun Fractions | Drawing Fun Fractions | Designer Fractions | | Teachers' Notes | Math Forum's Fraction Tour | More Math Lessons | lanius@math.rice.edu Copyright 1997-2007 by Cynthia Lanius Read More Go to Site Cynthia Lanius' Lessons: Geometry Online Votes:0 Cynthia Lanius Thanks to PBS for permission to use the Pyramid photo. On these pages you will find activities for middle or high school geometry. Bookmark this page and check back often. I hope to add at least one activity per month. Geometry Online History of Geometry A Brief Synopsis of Geometry throughout history. Describes the contributions of Egyptians, Babylonians, and Greeks. Includes links to biographies of major contributors to geometry. Hidden Irrationals (English Version) (Spanish Version) What's the rule? Students will find line segments that they can and cannot draw of various irrational lengths, and then find the rule that allows them to draw or not draw. The page should be printed and the segments shaded in. Hidden Polygons Students learn to identify various polygons by loca Read More Go to Site Dueling Pinwheels Votes:0 Cynthia Lanius A Geometer's Sketchpad Activity Special thanks to Robert Fisher , professor of mathematics, Idaho State University , for first demonstrating the activity. To get the most out of these geometry pages, you need to have a copy of The Geometer's Sketchpad on your computer. If you do not have one already, you can download a demonstration copy . Dazzle your students with this so-cool animated introductory exercise. Math concept: transformations Sketchpad skills level: beginner Construction Directions: Rotations - The first pinwheel Translation - The second pinwheel. Reflection - The third and fourth Explore these Questions: Obtain a one page handout. (Thanks to Suzanne Alejandre ) See more of my math activities. Please email me if you use these materials and tell me how it goes. l Read More Go to Site Free Math Worksheets and Lesson Plans - Geometry Votes:0 Arts & Crafts Health & Nutrition Math Lesson Plans Music Lesson Plans Physical Education Reading Lesson Plans Science Lesson Plans Social Studies Technology Writing Lesson Plans All Thematic Units This Month: Popcorn November Events December Events Daily Writing Prompts - November Season Printables - Journal & Coloring Pages Monthly Units, Lesson Plans & Activities Fall Activities & Lesson Plans Veteran's Day All Seasons Bulletin Board Ideas Bulletin Board Ideas Bulletin Boards by Month - November Bulletin Board Ideas Bulletin Boards by Subject Bulletin Boards by Theme - Fall Bulletin Boards Bulletin Board Materials Teaching Jobs Key Pals & Pen Pals Classroom Management Daily Writing Prompts - November Teacher Tips Librarians The Corner Store Web Sites Web Rings Teacher Chat Forums Printab Read More Go to Site Geometry Votes:0 Geometry Euclid have you stumped? Archimedes run rings around your head? Well you've come to the right place. This is where you'll find almost everything you'll ever need to know about Geometry. We have a special page on constructions and plenty of sample problems to help you understand the concepts. Have a blast and don't forget to check out our Glossary - it's huge! Table of Contents Introduction to Geometry Angles and Lines Conditionals, Unions, and Intersections Measurement Formulas Constructions Greek Prefixes for polygons/polyhedra (from Virtual Polyhedra , a GREAT geometry site) Glossary Sample problems Stereograms: an Application of Geometry A Theorem David came up with... - Jaime III "Where there is matter, there is geometry." - Johannes Kepler Read More Go to Site Math Forum: Suzanne Alejandre - Polyhedra Activity Votes:0 --> Studying Polyhedra Polyhedra in the Classroom NOTE: Use of Internet Explorer 5.0 is recommended. What is a polyhedron? A polyhedron is a three-dimensional solid whose faces are polygons joined at their edges. A polyhedron is said to be regular if its faces are made up of regular polygons. A regular polygon is a polygon with sides of equal length placed symmetrically around a common center. The word polyhedron is derived from the Greek poly (many) and the Indo-European hedron (seat). Five regular polyhedra comprise the convex Platonic solids: 1. Click on the five different buttons in the applet ( F=4, F=6, F=8, F=12, F=20 ). Can you name the five regular polyhedra? 2. Look at the top of the chart. How many faces does each polyhedron have? How many vertices? 3. Stop the rotation. Look at Read More Go to Site Math Forum: Tessellation Tutorials by Suzanne Alejandre Votes:0 A Math Forum Web Unit Tessellation Tutorials Tutorials and templates for making your own tessellations Suzanne Alejandre About This Project || Teacher Comments || Student Samples || Suzanne's Math Lessons What Is a Tessellation? What Is a Tiling? - View the MidPoW (March 11 - 25, 2002): Tiling Triangles Where's the Math? Historical and Geographical Connections Regular Tessellations: Teacher Lesson Plan || Student Page Tutorials: Claris Works: Color Tessellations Claris Works Tessellation Tips Claris Works & Tessellations Geometer's Sketchpad: Color Tessellations The Geometer's Sketchpad and Tessellations by Cathi Sanders Tessellations from Hawaii - using the Geometer's Sketchpad method HyperCard: Black & White Tessellations HyperCard Tessellation Tips HyperCard & Tessellations HyperCard & Read More Go to Site Math5337: Technology in the Geometry Classroom Votes:0 Next: Sample syllabus Up: The Geometry Center Technology in the Geometry Classroom Course Materials These materials were developed at the Geometry Center and are used for teaching pre- and in-service teachers of high-school geometry who are interested in using technology in their classrooms. See the sample syllabus for more information on the course. The following table of contents links directly to all course materials. The materials are divided into four self-contained parts: Internet Skills, Classical Geometry, Dynamical Systems, and Symmetries and Patterns. Within these parts, the materials build on each other. For example, Introductory Questions for Geometer's Sketchpad assumes less knowledge than Monge's Theorem, which in turn assumes less sophistication than Peaucellier's Linkage. T Read More Go to Site Native American Geometry Votes:0 Native American Geometry DESIGNS T he Design Section is a playground that exercises visual/mental creativity and behavioral precision. Once the basics are grasped, it is necessary to explore a range of options. This is where the geometry begins to be understood as a spatial language. It is here that many symbols of Native and Historic America and from around the world will be linked to specific polygons. These symbols can be found in street signs (i.e. Stop, Yield) and in the corporate logos of advertisements, along with revered religious symbols. Later, these same kinds of shapes will be related to architectural models. By way of analogy, there are exercises in English whereby students are asked to look up the roots of common words in dictionaries to find out where they come from and what Read More Go to Site NonEuclid - Hyperbolic Geometry Article + Software Applet Votes:0 NonEuclid NonEuclid is Java Software for Interactively Creating Ruler and Compass Constructions in both the PoincarÉ Disk and the Upper Half-Plane Models of Hyperbolic Geometry for use in High School and Undergraduate Education. Hyperbolic Geometry is a geometry of Einstein's General Theory of Relativity and Curved Hyperspace. NonEuclid has moved. The new location is: http://cs.unm.edu/~joel/NonEuclid/ Read More Go to Site Perimeter Votes:0 Perimeter Unit 1 The perimeter of a polygon is the distance around the outside of the polygon. A polygon is 2-dimensional; however, perimeter is 1-dimensional and is measured in linear units. To help us make this distinction, look at our picture of a rectangular backyard. The yard is 2-dimensional: it has a length and a width. The amount of fence needed to enclose the backyard (perimeter) is 1-dimensional. The perimeter of this yard is the distance around the outside of the yard, indicated by the red arrow; It is measured in linear units such as feet or meters. To find the perimeter of a polygon, take the sum of the length of each side. The polygons below are much smaller than a fenced-in yard. Thus, we use smaller units in our examples, such as centimeters and inches. Example 1: Find the Read More Go to Site Perimeter and Area Votes:0 Name_______________________________________________Date_________________________ Mathematics Problem Solving Volume 5, Number 31, May 22, 2000 www.rhlschool.com Perimeter and Area 1. You have a square piece of cardboard that has a perimeter of 12 centimeters. What is the area of the cardboard? a. 144 square centimeters b. 9 square centimeters c. 16 square centimeters d. 24 square centimeters 2. Samantha owns a ranch that covers 48 square miles. She will plant wheat on all the land except for 16 square miles. Samantha will plant wheat on __________ square miles of land. a. 64 b. 32 c. 4 d. 768 3. A rectangle is 5 inches wide. The area of the rectangle is 35 square inches. What is the perimeter of the rectangle? a. 24 inches b. 40 inches c. 30 inches d. There is not enough information to kno Read More Go to Site Ptolemy's Ptools - a 1998 Think Quest Project Votes:0 Purpose of the Site The purpose of Ptolemy's Ptools is to help other students have fun learning, by giving them easy to understand math projects to do either by themselves or with an adult's direction. Using tools of yesterday, and tools specially created for this site, Ptolemy Ptools will give you geometry projects to do with your 3D computer games as well as projects to take outside and explore the world. History Projects Sign our Message Board - PLEASE! Site Map This is a Think Quest Competition Site References, Permissions, Thank You's This way to the TEXT VERSION! This site was made as a 1998 ThinkQuest Project by Home Schooled Students Corey Costantino and Carl Ewing Email Us Star Trek graphics and screen shots used with permission of Interplay - Copyrights and Trademarks ; Starfleet Read More Go to Site Resource Finder Votes:0 Scholastic Inc. Customer Service Privacy Policy Product Information Administrators Librarians Teachers Scholastic.com Lesson Plans Learning Activities Books Products Games Club Ordering Online Scholastic At Home Scholastic Store Teacher Store Welcome Read More Go to Site scrtec.org Votes:0 scrtec.org Click here to go to scrtec.org . Read More Go to Site Soma Cube Central Votes:0 © 1998-2002 Jon Basden( jbasden@mac.com ) Modified on Tuesday, April 30, 2002 Read More Go to Site Symmetry and Pattern: The Art of Oriental Carpets Votes:0 About Symmetry and Pattern Rug Gallery About Oriental Carpets Educational Resources About This Web Site ORIENTAL CARPETS have long been appreciated for their beauty. That beauty is achieved through the choice of colors and designs, as well as by the manipulation of designs and colors to form pleasing patterns. Patterns in Oriental carpets are never quite what you expect - a surprise here, a flourish there, a change of color, the flip or rotation of a design where you might not predict it. The more you look, the more variations you will find. How can we explain this phenomenon? Is it the result of human choice, or human error? The study of symmetry offers one approach to analyzing patterns in Oriental carpets. Through symmetry analysis we may identify areas of pattern that exhibit expected Read More Go to Site Tangram Construction Votes:0 --> A Math Forum Web Unit Constructing Your Own Set of Tangrams Tom Scavo Contents || Constructions || Area || More Activities || Tangram Resources Materials a rectangular piece of paper suitable for folding a pair of scissors a ruler (optional) Activities A complete set of tangrams consists of seven pieces: a small square two small congruent triangles two large congruent triangles a medium-size triangle a parallelogram You can make your own set of tangrams from a single piece of paper. Just follow these simple steps: Fold a rectangular piece of paper so that a square is formed. Cut off the extra flap. Cut the square into two triangles. Take one triangle and fold it in half. Cut the triangle along the fold into two smaller triangles. Take the other triangle and crease it in the middle. Fol Read More Go to Site Tantalizing Tesselations!! Votes:0 Integration This unit integrates math with language arts and arts education. Throughout the activities in this unit, the students are asked to respond to the concept of tessellations. They will write definitions and assess how well their group worked together. In addition, we have exposed the students to tessellations in the environment, such as interior design. If one can locate some prints by M.C. Escher, students will see how their topic can become a famous art form. As a culminating activity, students will create a classroom quilt. The quilt will be a combination of a geometric shape (the square piece of paper) and a geometric transformation (translation, rotation, or reflection). This mathematical topic can also be explored in other subjects. Quilts and their importance can be studied Read More Go to Site Tell Time with Your Feet: a K-8 Math Lesson Votes:0 Tell Time with your Feet (a feet-on math lesson for K-8 students) The address of this document on the World Wide Web is http://www.math.csusb.edu/faculty/susan/timefeet.html How to tell time with your feet Preparation Get one or more copies of the shadow table for your location. You can get a custom table from the World Wide Web page listed below the title by clicking the underlined words. You will need to know the latitude and longitude of your location. (You can also this find on the Web. From this linked page, you also get times of sunrise and sunset for your location.) Having trouble getting the right table? Here's more detailed help . Of course, this activity only works on a sunny day. The activity Measure your shadow by pacing it off with your feet, toe to heel. (How can you do this? Read More Go to Site The Math Forum - Shapiro, Geometry Through Art Votes:0 Geometry Through Art Norman Shapiro What Children Can Learn about Art and Geometry The Forum and Norman Shapiro Corner for Interactive Geometry Software (CIGS). Sketchpad is not a plug-in, so you'll want to read the instructions on this page for configuring your browser to open the program and view and explore or print out sketches. --> Contact Norman Shapiro for Artist in Residence Programs, Workshops for Teachers, Teacher Resource Kits, and Useful links for Teaching Art and Geometry. Introduction About Norman Shapiro How to request materials Download a statement about GTA premises and methods (2.2M) Download the Geometry Through Art basic kit of copier master worksheets Part 1 (2.6MB) | Part 2 (2.8MB) | Part 3 (6.0MB) --> Currently available teacher workshops Exploring geometry by making Read More Go to Site Thinking Fountain: Bubble Geometry Votes:0 Bubble Geometry Have you ever seen a square bubble? Experiment with bubbles. Create bubble wands out of found objects (straws, pipe cleaners, strawberry baskets and coathangers) and have your own bubble festival. How can you catch a bubble? The secret is the soap solution. Try catching a bubble with a dry hand versus a wet hand. Which lasts longer? This activity is included in the Shapes cluster developed with K-2 teachers at the Ross School in San Francisco. What could you use to make lots of tiny bubbles? How could you measure a bubble? Why do bubbles fall towards the ground? Bubbles Soap bubbles are so fun! Make your own bubble prints Index of ideas Gathered by topic Connected together Try something new A Science Learning Network Resource / © 1995-2004 Science Museum of Minnesota Read More Go to Site Thinking Fountain: Theme Clusters Votes:0 Theme Clusters Shapes Cluster Shapes & Science NEWspaper Noodle Opaque Straws Strong Shapes Suds Tops Tubes and Spheres Shapes & Math Shape Walk I C Shapes Bubble Geometry Pyramids and Cubes Tans Shapes & Language Arts Shapes, Shapes, Shapes Shadowville Greedy Triangle Taking a Walk Circles Grandfather Tang's Story Shapes Here are books, activities and experiments about shapes. Thanks to Kathy, Vicky and Marjie from the Ross School for helping develop this cluster. Other Clusters Tropical Rainforest Activities, information, and images from the Science Museum of Minnesota's MAX?/OMNIMAX? film Tropical Rainforest. Loose Parts Activity ideas for your collection of recycled materials and loose parts. (egg and milk cartons, straws, film canisters, paper clips, string, etc.) Tools for Investigat Read More Go to Site Thomas Banchoff's Project List Votes:0 Up: Thomas Banchoff's Home Page Thomas Banchoff's Project List The first project is a remake of some scenes from The Flat Torus in the Three-Sphere , a film originally created in 1968. The same programs that produce the small animations, also produce the frames for a single-frame animation in full color, with 24 bit planes. The second project is a story board for a remake of a "classic" film is described in "Complex Function Graphs" . The most recent version has been completed on May 16, 1995. This document appears as one of the samples for a proposed totally electronic journal . A research project in progress is the self-linking of curves on the 3-sphere . This includes some small animations in Fnord and illustrations and a small film using another program, fourd. Only an mpeg player is n Read More Go to Site Tour of Symmetry Groups Votes:0 Tour of Symmetry Groups This document is being developed to provide a guided tour of symmetry groups using the Kali program. Currently, only frieze groups are covered by the tour. How to use this document The pages in this document may be viewed with a WWW browser but may be more useful if printed out in PostScript from a WWW browser. A PostScript version of each section will eventually be provided to avoid the hassle of having to save or print each page as PostScript from the WWW browser. The first two sections, Types of Symmetry and Symmetry in Frieze Groups , cover information that students should be familiar with before they come into the Geometry Center for a tour. Teachers may use the materials provided here or other equivalent material in their classrooms before bringing the student Read More Go to Site

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