GEOMETRY LINKS

GEOMETRY LINKS

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Around and Around We Go: Working in partners, students in grades 7 through 9 will measure the circumference and diameter of various round objects. They will then record this and determine the ratio of the circumference to the diameter.

Ask Dr. Math: This site features geometry questions and answers for high school students.

Assorted Sports (by area) Lesson Plan: You have played games all your life. You know some playing fields are larger than others. In this lesson for grades 5 through 8, students will discover the dimensions of the different sports and compute the area of the playing fields.

Buffon's Needle Lesson: Buffon's Needle is one of the oldest problems in the field of geometrical probability. It was first stated in 1777. It involves dropping a needle on a lined sheet of paper and determining the probability of the needle crossing one of the lines on the page. The remarkable result is that the probability is directly related to the value of pi. These pages will present an analytical solution to the problem along with a program (written for Macintosh computers) for simulating the needle drop in the simplest case scenario in which the length of the needle is the same as the distance between the lines.

Conjectures in Geometry: This page has been designed to provide an interactive technological resource for students studying elementary high school geometry. Basic concepts, conjectures, and theorems found in typical geometry texts are introduced, explained, and investigated. Follow-up activities are provided to further demonstrate meanings and applications of concepts.

Eratosthenes Measures the Earth's Circumference: In this lesson for grades 9 through 12, students will estimate the diameter and circumference of the Earth by repeating Eratosthenes’ experiment, use the Internet to exchange measured data and results, and use the Internet to research the mathematical and scientific contributions of Eratosthenes.

Euclid's Elements: Euclid's Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathematics. It has influenced all branches of science, but none so much as mathematics and the exact sciences.

Flashcard: This site offers online flashcards for geometry.

Gallery of Interactive Geometry: This gallery provides lots of graphical representations of geometric theorems and concepts.

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. There is 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 the glossary.

Geometry Center: The Geometry Center is a mathematics research and education center at the University of Minnesota. It is funded by the National Science Foundation as part of the Science and Technology Center program. The Center has a unified mathematics computing environment supporting math and computer science research, mathematical visualization, software development, application development, video animation production, and K-16 math education.

Geometry Cooperative Lesson Plans: Math lesson plans in geometry can be found on this New Brunswick Cooperative Learning site.

Geometry in Action: Real-world applications of the principles of geometry are the focus of this valuable web site. Here you will find ways to apply the content of your geometry class to such fields as architecture, meteorology, textile layout, cartography, robotics, and dozens of other areas.

Geometry Problem of the Week: Each week, the Math Forum puts up another geometry problem and asks for solutions to be submitted by students. This site includes the solutions for past problems, as well as help for teachers and students.

Geometry Project of the Month: Each month, the Math forum sponsors a special geometry problem and asks for solutions to be submitted by students. This site also includes the solutions for past projects.

Geometry Resources: Here's an extensive listing of additional geometry web resources.

Interactive Math Lessons: Math Goodies' interactive math lessons use a problem-solving approach and actively engage students in the learning process. Each lesson works as an independent learning module or as a supplement to other math instruction. The lessons are designed primarily for students in grades 5 through 8. Currently, there are 32 innovative math lessons for you to browse through, organized into volumes. Each volume consists of a related group of lessons and one set of challenge exercises. Volumes include Integers, Understanding Percent, Number Theory, Circumference and Area of Circles, and Perimeter and Area of Polygons.

Introduction to Geometry: Learn geometry from four basic lessons provided at this site and then take a final quiz to test your knowledge.

Introduction to Vectors: This site for high school students offers a wonderful tutorial on vectors and includes pictures and sketches. Some of the many topics covered include Vector Basics, Vectors and Points, Vector Addition, Vector Subtraction, Length, Unit Vectors, and many more.

Manipulate Math with JAVA: This is not your father's arithmetic. Math here is animated in sleek, fast applets that are interactive programs designed to allow students to manipulate things and see a lot of animation; thus helping them grasp the meaning of mathematical ideas. There are already over 200 applets, and new ones are added on a regular basis.

Math Forum: K-12 Geometry Resources: This site offers Classroom Materials for Teachers and Students, Software for Geometry, Internet Projects, Selected Geometry Elsewhere on the Internet, and Public Forums for Discussing Geometry.
Mathematics of Cartography: This somewhat different approach to geometry has students examine the mathematics of mapmaking.

Math Share Shop: Check out the SMART page for a list of math topics, then explore the subject you want to learn more about.

No Matter What Shape Your Fractions Are In: This colorful site for elementary and middle school students provides online exercises and a place to check your answers on problems dealing with geometric shapes and fractions.

Polyominoes Lesson: Have you ever played dominoes? How about Tetris? What do those two games have in common? Both games use pieces that are formed of squares placed side by side. Dominoes use two squares; Tetris pieces (or tetrominoes) use four squares. Mathematician Solomon Golomb, in a 1953 talk at the Harvard Mathematics Club, defined a whole class of geometric figures like this called polyominoes. Lots of fun mathematics has been done with them since.

Rectangle Pattern Challenges: This excellent challenge includes everything the students will need, as well as teacher notes.

Storybook of Geometry: This is a geometry story-problems site that takes you through the steps or lets you work on the problems on your own.

Tangent Planes Lesson: This is an experiment in using the web to illustrate the intuitive notion of the tangent plane to a graph of a function of two variables.

Three for the Money: The Degree/Diameter Problem: This lesson includes teacher notes and drawings.

Zona Land: Created by high school math and physics teacher Ed Zobel, Zona Land provides resources for students to fully grasp major concepts in Algebra, Geometry, and Physics. Using Java programming, Ray Tracing and VRML (a virtual reality language), he creates tools and lessons. Divided into two sections, "More Mathematics than Science" and "More Science than Mathematics," students can better visualize waves, graphing, and much more.