 | Quilts - A lesson in which students are asked to identify shapes they observe in quilts that are found on various Web pages about quilting. - Direct to Web Resource |
 | Tri-Straws - This is an activity where students discover the properties of triangles. - Direct to Web Resource |
 | Block It - This site provides a problem-solving and computation activity using pattern blocks. - Direct to Web Resource |
| Area and Volume - With this lesson students construct models in order to better understand the concepts of area and volume. - Direct to Web Resource |
 | Understanding Factoring through Geometry - This lesson will help students to see factoring in geometric terms. - Direct to Web Resource |
 | Tantalizing Tessellations - These ten lessons focus on tessellations and how tessellations can be integrated with other areas. - Direct to Web Resource |
 | Upside Down - Students investigate symmetry by observing what happens when they turn letters upside down. - Direct to Web Resource |
 | Aesop's Fables and Mathematics - Mathematics-literature connections using Aesop's Fables are provided on this Web site. - Direct to Web Resource |
 | Shape and Space in Geometry: About Space - This collection of interactive lessons promotes visualization of three-dimensional objects. - Direct to Web Resource |
 | Play with Lulu - This online investigation provides students with an opportunity to look at patterns of movement in the context of the Cartesian grid. - Direct to Web Resource |
| Create 3-D - In this activity, students predict how two-dimensional patterns can be folded to make three-dimensional objects. - Direct to Web Resource |
 | Ptolemy's Ptools - Ptolemy's Ptools helps students have fun learning, by giving them easy to understand math projects to do by themselves or with an adult's direction. - Direct to Web Resource |
 | Mathematics Problems and Warm-ups - This is a site of searchable mathematics word problems. - Direct to Web Resource |
 | Polyominoes - This activity uses a fun mathematical puzzle to provide a base for investigation and discover. - Direct to Web Resource |
 | Symmetry and the Shape of Space - A multi-part lesson discussing symmetry in three dimensions. - Direct to Web Resource |
| Upside Down - This is one of the challenges from NCTM's "Figure This!"Web site; this one looks at symmetry by observing what happens when you turn letters upside down. - Direct to Web Resource |
 | Vector Cross Product--Interactive Tutorial - An interactive applet allows students to investigate how the cross product of vectors works. - Direct to Web Resource |
| Totally Tessellated - This site provides a comprehensive introduction to tessellations. - Direct to Web Resource |
 | Polyhedra Gallery - This site contains a collection of pictures and information about the platonic solids and other polyhedra. - Direct to Web Resource |
 | Shape of an Egg - This Web site discusses the concept of surfaces of revolution and methods for drawing ovals in the plane. - Direct to Web Resource |
| EggMath - This site is a collection of Web modules and interactive applets that cover different topics in mathematics related to eggs. - Direct to Web Resource |
| Bricks Activity - This activity uses a true to life situation to stimulate students' thinking skills. - Direct to Web Resource |
 | Varnelle's Primary Math - Introduction to Geometry - A unit designed to introduce young children to beginning concepts in geometry: describing shapes, making patterns, building shapes, rotational symmetry, and line symmetry. Extension ideas and teacher support are also included. - Direct to Web Resource |
 | Parts of A Whole -- Virtual Manipulative - This online tool is another manipulative teachers can choose from to connect visual representations of common fractions to their mathematical notations. - Direct to Web Resource |
| Visualizing Fractions -- Virtual Manipulative - This online tool is allows students to check their understanding of fractions by asking them to create visual representations of given fractions. - Direct to Web Resource |
 | Online Pattern Blocks - This resource shows one teacher's example of incorporating pattern blocks in the kindergarten classroom. The resource is linked to an electronic version of pattern blocks for further exploration; http://www.arcytech.org/java/patterns/patterns_j.shtml . - Direct to Web Resource |
 | Shape Finder - This site offers a simple shape identification game that may be used to reinforce students' knowledge of basic geometric figures. - Direct to Web Resource |
 | Nikki's Orienteering Adventure - Students will take an adventure with Nikki in a hot air balloon and learn all about maps, symbolization, and proportional reasoning in this orienteering unit. - Direct to Web Resource |
 | PIGS Space: Cooperative Learning-Modules - This site focuses on cooperative learning in language arts, mathematics, science, and social studies. - Direct to Web Resource |
 | Which Pattern Block Picture is Mine? - This activity integrates writing activities with geometric concepts and figures. Students, working in groups, learn to effectively describe pictures in writing using geometric and positional terminology. - Direct to Web Resource |
 | Polygon Playground - Geometric shapes in a variety of colors and sizes are available for children to manipulate and create patterns and designs. - Direct to Web Resource |
 | Coloring and Math - This activity, for upper primary students, allows explorers to discover some characteristics of knots that may lead to later classifications of knots. Students color a variety of entwined ropes using a specific set of rules. - Direct to Web Resource |
| Introduction to Symmetry
Introduction to Symmetry for Primary Students - A unit by Varnelle Moore, designed to guide young children through an introduction of symmetry - Direct to Web Resource |
 | Tesselations, Wow! - This collection of math center activities allow students to explore tessellations while discovering geometric properties of polygons. - Direct to Web Resource |
 | What Do You See - Students work in groups to explore the idea of multiple perspectives. - Direct to Web Resource |
 | 3D Tic Tac Toe - The applet provides a three-dimensional version of the tic-tac-toe game using a 3x3x3 cube instead of the usual 3x3 square. - Direct to Web Resource |
 | Picture Math - A lesson combining practice of computational skills with graphing on the Cartesian plan. - Direct to Web Resource |
| Real Math: An Exploration of Geometric Solids - Project promoting awareness of geometric shapes. - Direct to Web Resource |
 | The Geometry of Structures - Experiments on geometric shapes and structures are provided on this Web site. - Direct to Web Resource |
 | Geometry Fun Using Tangrams - With this lesson plan, tangrams are used in hands-on activities to explore attributes of certain geometrical shapes and area. - Direct to Web Resource |
| Rush - Students develop spatial sense as they try to free a car from a packed parking lot. - Direct to Web Resource |
| Don't Fall In - This activity guides students through investigating the nature of polygons in a real world context: the shape of a manhole cover. - Direct to Web Resource |
| What's My Angle? - This problem is an everyday activity aimed at promoting students' thinking about angles. - Direct to Web Resource |
| Fire Hydrant - Students think about why some geometric shapes are used as opposed to others in the context of the pentagonal water control valves on fire hydrants. - Direct to Web Resource |
 | Archimedes Laboratory - This Web site is an accumulation of various online games and "brain teasers." - Direct to Web Resource |
| Triangles - This online activity introduces congruence of triangles in an interesting problem solving context. - Direct to Web Resource |
 | Pattern Blocks Program - This interactive applet allows students to use pattern blocks online to explore various mathematical concepts. - Direct to Web Resource |
| MATH CATS - Many activities, games, and instructional ideas are provided on this Web site to engage students in geometric explorations. - Direct to Web Resource |
| Geoboard Virtual Manipulative - This manipulative allows students to use geoboards online; activities are also available on the Web site. - Direct to Web Resource |
 | Investigating Patterns: Symmetry and Tessellations - This collection of Web links consists of anything related to symmetry or tessellating, from interactive links to order forms for books and videos. - Direct to Web Resource |
 | Shape Explorer - Shape Explorer is an applet students can use to practice finding the area and perimeter of randomly generated shapes colored on a grid. - Direct to Web Resource |
 | Tangram Games - These puzzles are interactive and will enhance students' spatial sense. - Direct to Web Resource |
 | Mirror Puzzles - Using this set of puzzles, students will be challenged to think about reflection in the exciting context of a hall of mirrors. - Direct to Web Resource |
 | The Shadow of the Dog - This reference page for teachers can be developed into an activity for students to work with shadows in order to learn about angles. - Direct to Web Resource |
 | The Young Map Colorer - Students try to color maps using the least possible number of colors. - Direct to Web Resource |
| Fractional Parts the "Tan" Way - Students construct tangrams and then use them to answer questions about fractional parts. - Direct to Web Resource |
 | Sphinx -- An Example of Richness - This Web site includes activities to engage students in working with the "Sphinx" pentagon to solve problems, create similar "Sphinxes," and make observations. - Direct to Web Resource |
 | Free Standing Structure - This activity allows students to use mathematics in a connected, real-world situation as they model building a freestanding structure with straws. - Direct to Web Resource |
 | LOGO Land - This page provides numerous examples of uses of and challenges to use with LOGO. - Direct to Web Resource |
| Toothpick Triangles - Students explore attributes of triangles as they construct various triangles from differing numbers of toothpicks. - Direct to Web Resource |
| Polyominoes - In this activity, students use polyominoes to explore certain geometric concepts. - Direct to Web Resource |
 | Constructing Platonic Solids - The Web site provides step-by-step instructions for constructing platonic solids along with possible lesson suggestions. - Direct to Web Resource |
| Fun with Tangrams - This activity uses tangrams to explore shapes and patterns. - Direct to Web Resource |
| Tangrams - The Web site uses tangrams to compute the area of polygons without employing formulas. - Direct to Web Resource |
| Find the Area of the Shape - This interactive Web site uses a Java-based geometry applet to examine properties of shapes to determine formulas for their areas. - Direct to Web Resource |
| Fractals - This Web site contains an entire unit on fractals. - Direct to Web Resource |
 | Geometry in the Constellations - This activity uses the constellations to help students learn more about geometry. - Direct to Web Resource |
| Pick the Polygon - This activity helps students describe and compare polygons. - Direct to Web Resource |
 | Native American Geometry - This Web site discusses a type of geometry which originated from a simple circle. - Direct to Web Resource |
| Patterns in Color - This interactive applet allows students to use pattern blocks to explore concepts in geometry (and beyond). - Direct to Web Resource |
 | Introduction to Angles - These activities reinforce the basic terms related to the classification of angles. - Direct to Web Resource |
 | Manipula Math with JAVA (Middle school collection) - This Web site provides applets that are used to find connections among different geometrical topics. - Direct to Web Resource |
| Polyhedra Gallery - This Web site contains a collection of pictures and information about the platonic solids and other polyhedra. - Direct to Web Resource |
| Geoboards in the Classroom - This is a unit that offers suggestions for using geoboards to explore the length and area of two-dimensional geometric figures. - Direct to Web Resource |
| Geometric Terms - Students match the geometric term with the correct definition using matching, flash cards, concentration, and word search. - Direct to Web Resource |
| Find the Area of the Shape - This interactive Web site uses a Java-based geometry applet to examine properties of shapes to determine formulas for their areas. - Direct to Web Resource |
| Fractals - This is an entire unit on fractals. - Direct to Web Resource |
 | CIESE Online Classroom Projects - This Web site is a collection of interactive or real-time data projects for classroom use that utilize connections between mathematics and other disciplines. - Direct to Web Resource |
| Super Spiro - Spirograpgh creates different shapes and sizes of polygons. - Direct to Web Resource |
| Tessellation Tutorials - This page has tutorials and templates for making your own tessellations. - Direct to Web Resource |
| The Golden Ratio - This site provides an introduction to the Golden Ratio and Fibonacci Sequence. - Direct to Web Resource |
| Fun with Tangrams - This activity uses tangrams to explore shapes and patterns. - Direct to Web Resource |
 | Revisewise - This site provides activities, factsheets, and tests for each category. It includes numbers, data handling, shape, space and measure, mental maths, and number systems. - Direct to Web Resource |
 | About a Line and a Triangle - An interactive mathematics problem for students to ponder over. - Direct to Web Resource |
| Fibonacci Bamboozlement - Experimenting with the "bamboozlement" applet on this page may be a great way to challenge students to investigate area. - Direct to Web Resource |
| Sphinx -- An Example of Richness - This site includes activities to engage students in working with the "Sphinx" pentagon to solve problems, create similar "Sphinxes," and make observations. - Direct to Web Resource |
| Building A Pyramid - Fun in class project on surface area and volume that could be used to let students derive these formulas on their own from given information. - Direct to Web Resource |
| Leonardo da Vinci - Is the ratio of arm span to our height really equal to one? - Direct to Web Resource |
| Investigating Patterns: Number Patterns - Series of activities that look at different areas dealing with patterns. Some make useful investigations and lessons, and some are more "fun" oriented. - Direct to Web Resource |
| Regular Tessellations - Use an applet to discover how tessellations are made and why only a few geometrical shapes work to make tessellations - Direct to Web Resource |
 | Tilings from Historical Sources - Exploring tilings across histroy. - Direct to Web Resource |
| Maze Game - Simple game to introduce students to the idea of the coordinate system (or provide practice). - Direct to Web Resource |
 | Angles - Eight pages of tutorial applets that reviews angles, triangles and their construction, and the Pythagorean theorem. - Direct to Web Resource |
| Geometric Probability and Primo Mathematics - Use the area of geometric figures to determine the geometric probability. - Direct to Web Resource |
 | Teaching Tessellations - Students discover what tessellations are by doing a little research and project on their own. - Direct to Web Resource |
| Investigating Patterns: Symmetry and Tessellations - Collection of Web links consisting of anything related to symmetry or tessellating, from interactive links to order forms for books and videos. - Direct to Web Resource |
| Escher in the Classroom - Jill Britton's condensed article on symmetry and tessellations with links to other resources. - Direct to Web Resource |
| Geoboards in the Classroom - Web unit for teachers from Tom Scavo that offers suggestions for using geoboards to explore the length and area of two-dimensional geometric figures. - Direct to Web Resource |
 | Prize Numbers - In this lesson, students explore what a proof is as well as how and why mathematicians create them. Then, they compose essays on how reason and logic are employed in the workplace. - Direct to Web Resource |
| PIGS Space: Cooperative Learning-Modules - This Web site focuses on cooperative learning in language arts, mathematics, science, and social studies. - Direct to Web Resource |
| Everyday Angles - An activity to explore types of angles found in everyday life. - Direct to Web Resource |
 | Pi Day - Pi Day is a day to celebrate mathematics in your school. - Direct to Web Resource |
| Triangles - find congruent triangles using a grid - Direct to Web Resource |
 | Good News Bears - This is an interdisciplinary project about the stock market specifically designed for middle school students and teachers. - Direct to Web Resource |
| Fire Hydrant - How geometric shapes relate to their usefulness in real life. - Direct to Web Resource |
| Self-similarity - This lesson introduces students to the concept of similarity and self-similarity through a series of examples and exercises. - Direct to Web Resource |
| Fill it up! - Students figure which of two cylinders will hold more popcorn. - Direct to Web Resource |
| Knot Theory - Students are presented with the beginning concepts of reflection with this activity involving rope. - Direct to Web Resource |
| Mirror, Mirror - Look at how angles,reflections, lines of sight, and triangles are related by using a reflection in a mirror. - Direct to Web Resource |
| How Far Between Cities? - Introduces the properties of the Pythagorean theorem in relationship to points in a plane. The plane represented is a map and students are expected to find the distance between two cities. - Direct to Web Resource |
 | Tetrahedron - Folding a tetrahedron using a combination of folded paper units including a worksheet of sheets related to the final tetrahedron. - Direct to Web Resource |
 | Geometry: From the Land of the Incas - A Peruvian site with Euclidean geometry problems accompanied by proofs, animation and sound, as well as Inca Geometry. - Direct to Web Resource |
| Geoboard - Students will use a virtual geoboard to illustrate area, perimeter, and rational number concepts. - Direct to Web Resource |
| Suzanne’s Geometry Lessons - A collection of detailed lessons that address Geometry. - Direct to Web Resource |
| The Most Colorful Math of All - Activities for the investigation of map coloring. - Direct to Web Resource |
| Games on Graph - Introducing students to graph theory through stories and games. - Direct to Web Resource |
| Symmetry and Pattern - The Art of Oriental Rugs - Exploration of symmetry through Oriental rugs. - Direct to Web Resource |
 | MathApplications - Lines - An exploration of historical and real-world applications of lines. - Direct to Web Resource |
| Golden Rectangle - Demonstrates iterations of the Golden Section - Direct to Web Resource |
| The Geometer's Sketchpad: Modeling a Ferris Wheel - Using Geometer's Sketchpad, students can manipulate models of physical devices to move objects around in the model. - Direct to Web Resource |
 | High School Operations Research: Speedy Delivery - An instructional module drawn from an operations research problem involving setting up a route for a delivery truck. - Direct to Web Resource |
 | Can You Create a Mutant? - Students will learn about the different types of symmetry involved in tessellations. - Direct to Web Resource |
| Knot Theory - Students are presented with the beginning concepts of reflection with this activity involving rope. - Direct to Web Resource |
 | Angles - These investigations help students to get a better understanding of angles by using manipulatives. - Direct to Web Resource |
 | Interactive Geometry - A collection of interactive Java applets illustrating various geometric objects and theorems. - Direct to Web Resource |
 | Virtual Polyhedra - This is a site where students can explore a collection of thousands of virtual reality polyhedra. - Direct to Web Resource |
| Mirror, Mirror - Study reflections in a mirror to gain insights into geometry. - Direct to Web Resource |
 | The Geometry Junkyard - A collection of links, demonstrations, questions, lessons, and more related to the study of geometry. - Direct to Web Resource |
| Self-similarity - This lesson introduces students to the concept of similarity and self-similarity through a series of examples and exercises. - Direct to Web Resource |
| Transformations - This site contains a collection of illustrations that offer different approaches to the topic of transformations. - Direct to Web Resource |
| The Ten-Centimeter Circle - The activities on this page can be used as an introduction to trigonometry or along with a regular lesson. - Direct to Web Resource |
| Prize Numbers - In this lesson, students explore what a proof is as well as how and why mathematicians create them. Then, they compose essays on how reason and logic are employed in the workplace. - Direct to Web Resource |
 | Soma Cube Central - In this activity, students explore concepts of solid geometry and enhance their spatial reasoning using a self-made manipulative. - Direct to Web Resource |
 | Delta Blocks - A way to model different 3-D tessellations and a tool for studying geometry, crystallography, and polyhedra. - Direct to Web Resource |
 | Make Room For One More Astronaut (9-12) - An exploration of floor plans motivated by a real-life NASA problem. - Direct to Web Resource |
| Navigational Vectors - The site has fascinating links to lead students to problems that pilots have to solve such as ground speed of the airplane using vector addition. - Direct to Web Resource |
 | Geometry in Motion - Using Java Sketchpad, the Web site provides direct interaction with geometric diagrams. - Direct to Web Resource |
| Tilings from Historical Sources - Enhance studying patterns in your classroom by incorporating the historical and cultural tessellations from this Web site. - Direct to Web Resource |
| Regular Tessellations - Students explore which regular polygons can tessellate in the Euclidean plane. - Direct to Web Resource |
 | Torus and Klein Bottle Games - This site introduces students to two different two-dimensional surfaces through interactive games. - Direct to Web Resource |
 | Tilings With Quadrilaterals - Students will understand how any quadrilateral can periodically tile a plane out to infinity (indefinitely) without gaps. - Direct to Web Resource |
 | How Much Money Do Baseball Players Really Make? - This lesson is intended for students 9-12 who are exploring the statistical concepts of variance and covariance. - Direct to Web Resource |
 | Rotated right triangle - Students use their geometric knowledge to solve a puzzle about angles. - Direct to Web Resource |
| LOGO Land - Instructional activities and project ideas for the Logo programming language. - Direct to Web Resource |
| Fun with Tangrams - This activity uses tangrams to explore shapes and patterns. - Direct to Web Resource |
| The Golden Ratio - This site provides an introduction to the Golden Ratio and Fibonacci sequence. - Direct to Web Resource |
| White/Yolk Theorem - This activity illustrates a surprising result from topology. - Direct to Web Resource |
| Dot Patterns and Sierpinski Gasket - An interactive exploration of the Sierpinski Gasket from a number theory perspective. - Direct to Web Resource |
| Pythagorean Triples - An applet is used to geometrically explore Pythagorean Triples. - Direct to Web Resource |
| Types of Angles - This on-line tutorial includes applets which may help students better visualize some geometric concepts related to angles and triangles. - Direct to Web Resource |
 | Colorful Mathematics - This series of five math games (IBM only) introduces students to topics in graph theory involving coloring. - Direct to Web Resource |
| CIESE Online Classroom Projects - This Web site is a collection of interactive or real-time data projects for classroom use that utilize connections between mathematics and other disciplines. - Direct to Web Resource |
 | Fibonacci Numbers and the Golden Section - A collection of resources relating to Fibonacci numbers, the golden section and the golden string. - Direct to Web Resource |
 | Cross Staff Projects - This site provides projects related to an ancient measuring device, the cross staff, with an exploration of the mathematics that makes it work. - Direct to Web Resource |
| Fractals - This resource is a complete unit on fractals, including why they are important, how to generate them, and their properties. - Direct to Web Resource |
| Fractals - This site provides a general overview of fractals and links to many good resources about fractals. - Direct to Web Resource |
| Geoboards in the Classroom - This is a unit that offers suggestions for using geoboards to explore the length and area of two-dimensional geometric figures, and other interesting investigations. - Direct to Web Resource |
| Pythagoras' Playground - This site uses the properties of the Pythagorean Theorem to explore the world. - Direct to Web Resource |
| Spherical Geometry - This section uses the spherical shape of an egg to demonstrate features of spherical geometry. - Direct to Web Resource |
| Manipula Math with JAVA (Middle school collection) - An extensive collection of applets related to geometry. - Direct to Web Resource |
| Math to Build On - Johnny and Margaret Hamilton's book covers much of the basic math used in the construction trades and gives practice in its application. It also offers a few sections of possibilities for alternative introductions to these fundamental concepts. - Direct to Web Resource |
| 3D Wire Frame - Dynamically gnerate wire-frames of common solids. - Direct to Web Resource |
