Geometry and Spatial Sense

Geometry and Spatial Sense: Grade 8

Overall Expectations

By the end of Grade 8, students will:

identify, describe, compare, and classify geometric figures;
identify, draw, and represent three-dimensional geometric figures;
identify and investigate the relationships of angles;
construct and solve problems involving lines and angles;
investigate geometric mathematical theories to solve problems;
use mathematical language effectively to describe geometric concepts, reasoning, and investigations.

Related Web Pages

Site Name

Online

Description

AuntyMath

"Aunty Math" will present a new math challenge to the internet audience via the DuPage Children's Museum site on the World Wide Web. Each challenge is presented in the form of a story taken from the life of Aunty Math.

Duelling Pinwheels

Duelling Pinwheels is a Geometer’s Sketchpad activity that demonstrates transformations; rotations, translations, and reflections. The site includes teacher directions, student handouts and questions for further exploration. There are connections to other math activities.

Geometer's Sketchpad Materials

[Sketchpad] We have placed some materials related to Geometer's Sketchpad (GSP) on the Web for your reference. It is suggested that you read these materials to help you gain familiarity with the potential of GSP as well as some of the geometry topics in the middle school curriculum where GSP may be useful.

The Geometer’s Sketchpad Online Activity Guide

[Sketchpad] These links take you to other sites discussing Sketchpad or presenting Dynamic Geometry activities, lessons, and ideas. For information about print-based resources, consult the Bibliography.

The Geometry of Computer Graphics

[Sketchpad] The recent field of computer graphics nicely merges many elegant and simple geometric ideas with concerns about function, realism, and aesthetics. In so doing, it provides a stimulating context for exploring many traditional topics of an introductory geometry course. In this paper, which is based on my after-dinner presentation at the St. Olaf conference, I develop a number of problems and activities drawn from the field of computer graphics, and illustrate them with dynamic sketches from The Geometer's Sketchpad.

Helping your Child Learn Math

This is an excellent site for parents, clarifying what it means to be a problem solver, to communicate mathematically and to demonstrate reasoning ability. It has 3 main sections: introduction (explains the basic principles underlying the current approach to Math); activities (using dice, coins, decks of cards) to do with children aged 5 through 13 arranged at increasingly harder levels of difficulty and lists of resources.

Kunkel’s Mathematics Lessons

[Sketchpad] These are some mathematics investigations I have pursued over the years. They may be of some interest to teachers, students, or hobbyists. I try to convey a conceptual understanding, usually without rigorous proof. Some of the lessons are accompanied by questions and suggestions for extensions.

Math Forum: Geometer's Sketchpad Tessellation Instructions

[Sketchpad] An online tutorial by Cathi Sanders on using the software program Geometer's Sketchpad to create tessellations

Math Forum: Tessellation Tutorials by Suzanne Alejandre

Definitions and examples of regular & semi-regular tessellations are given with student created examples. One Mathematical idea that can be emphasized through tessellations is symmetry. The activities include: The Four Types of Symmetry in the Plane and Repeated Reflections of an "R". The site includes a section of historical and geographical connections. Tutorials include: (a) Claris Works: Colour Tessellations, (b) HyperCard: Black and White, (c) Geometer's Sketchpad: colour, (d) HyperStudio: colour, (e) PC Paintbrush or Paint: colour, and (f) LogoWriter: Programmed Tessellations Using materials such as templates, a straightedge and compass, and pattern blocks to make tessellations.

Math Lesson Plans

This is divided into three segments- K-5, 6-8, 9-12, and addresses all strands. Each lesson plan consists of grade level, strand, an overview, objectives, materials needed, procedures, and some encouraging students to talk and write about what they have learned.

Mathematics Clarifying the TEKS

This supports investigations and co-operative group work and is suitable for 1-8, including grades 9-10. Although it lacks an assessment rubric, it includes assessment tasks and extensions and consists of guiding and summary questions which could be used as sources for student communication but that are implicit rather than explicit in the directions.

Pythagorean Theorem

Students complete a computer based lab in order to review the Pythagorean Theorem. The lab requires the “Paint” program standard on Windows or the Draw Program in AppleWorks for Macs or Windows. Students then use the Pythagorean Theorem to solve a “real world” problem.

Teachers Helping Teachers

Dr. Mandel's Mathematics "Teachers Helping Teachers" website designed to share ideas that can be immediately implemented into the classroom and to provide new ideas in teaching methodologies.

Totally Tessellated

This junior/intermediate site has a History link that explains the role of tessellations in history and cultures around the world. An Essentials link provides background information with an introduction to simple tessellations with regular and non-regular polygons. A Mosaics/Tiling link explains fundamental tessellations as well as how to modify and create new tessellations. A link also introduces the Dutchmaster artist, M. C. Escher and his famous tessellated designs.

Transformations

This junior/intermediate site is an interactive study of the three kinds of transformations: translations, reflections and rotations. Instructions and questions to think about are included.

4th and 5th Grade Student research Resources

a. Figure This: Math Challenges for Families - This is designed to provide an exciting and family-friendly way to become more involved in learning math. Each challenge, categorized by strand, features a description of the math involved, a note on where the math is used in the real world, a hint to get started, complete solutions, and additional related problems with answers. Family Corner has family support materials.

b. Problem Solving &endash; Searching for Solutions - This site supports the NCTM standards (hence, the Ontario Curriculum), and introduces students to 8 different problem solving strategies and real-life practice activities for applying problem-solving skills. A rubric is included as an assessment tool and is divided into 5 sections: correct answer, problem understanding, strategy, communication and reasonable result.

A+ Math

This introduces activities which will help students improve math skills interactively. It has Flashcards, Game Room, Homework Helper (allows students to create own problems and will check to see if answer is correct), and worksheets.

AAAMath

This interactive K-8 site addresses all strands and includes an explanation of the math topic and practice questions. A correct answer is given if an error is made.

The AIMS Puzzle Corner

The goal of this grade 4-8 site is to provide teachers with a variety of interesting puzzles and the mathematics behind them. Each month a different puzzle is introduced and solutions appear the following month. Past puzzles and solutions are archived.

About the numbers in today’s date

Read interesting and little-known facts about the numbers 1 to 31..

Animations on the Geometer’s Sketchpad

This site has 3 links: (a) Scope and Sequence &endash;charts of the measurement and geometry objectives in the grade 6-8 British Columbia Mathematics curriculum, (b) Lesson Plans Using GSP &endash;overviews of units and objectives by grade with 5-7 plans for each grade, (c) Teacher Inservice Lessons to Learn GSP &endash;skills required for GSP teaching in grades 6 to 8. Topics are divided into units with goals and activities for each unit.

AskERIC Math Lesson Plans: Mathematics

These are suitable for grades K-12 and are organized by subject and topic. They address many math strands and support co-operative learning and the use of manipulatives. Each lesson plan includes grade level, goals and objectives, materials needed, procedure, some include assessment and closure suggestions.

BBC Education-Maths File-Games Wheel

An interactive, fun site where each game/print-off explores areas of the U.K's National Curriculum. Strands are similar to Ontario's, but games are only available if you install the free, (takes 20 min.) Shockwave plug-in.The "Animal Weigh in" game may be confusing, (makes conversions between pounds and kilograms, kilograms and stone), and the money symbol is L (pound).

BBC Education-Maths File-Print Offs

Printable worksheets one for each of the three levels of difficulty.

Answers can be found at http://www.bbc.co.uk/education/mathsfile/printoffs/answers.html These print offs require knowledge of transformations. Dice and counters are needed to play each game. Tracing paper and mirrors may be used by some players.

Centre for Innovation in Mathematics Teaching

This site includes resources for teaching mathematics: worksheets, ideas for activities, games, and puzzles (including tangram and pentomino puzzles).

Dave’s Math Tables

This site contains helpful hints on geometry, algebra, fractions, graphing, vectors and basic math.

FunBrain.com

This is an interactive site for grades 1- 12, and a grid makes it easy to find an appropriate game for a specific grade level. Each game has 3 - 4 levels of difficulty.

Funbrain.com - What's the Point?

This game has four levels of difficulty: Easy, Medium, and Hard. Keep track of your coordinates on the graph. Test your graph reading skills with this game that is sure to challenge you.

Geometric Sculptures

Huge collection of Photos and descriptions of geometric sculptures

Geometry and Spatial Sense: Sample Lessons

This K-8 site supports expectations from the Geometry strand. The sample lessons are grouped K-2, 3-5, and 6-8. The major concepts include symmetry, motion geometry, tessellations and others. It stresses the need to work first with manipulatives such as pattern blocks, tangrams, and multilink cubes.

Harcourt Animated Math Glossary

This has a very complete glossary of math terms for each grade level, 1-8. In the primary grades, the term is accompanied by a visual and/or very brief definition, and in junior/intermediate grades, the term is accompanied by a description and examples.

Harcourt Math Advantage

This site requires the "shock wave" plug-in, and is suitable for grades 1-8. Most strands are represented except Data Management and Probability. It includes an Animated Math Glossary appropriate for each grade level.

HomeWork Help

This site addresses pre-algebra, algebra and geometry. A wide variety of topics are included for each of these three subjects. Each topic includes a First Glance followed by an In Depth look at the topic, Examples and Workouts (practice questions). The Math Library link includes such features as glossary, formulas and the history of math.

How to do the Plane?

Way back when, math was divided into geometry and algebra, and these were two totally separate subjects. You pretty much didn't do equations in geometry, and you pretty much didn't do pictures in algebra. Then, around 1637, a French guy named Rene Descartes (pronounced "ray-NAY day-CART") came up with a way to put these two subjects together. This site provides worked examples of graphing single points and an explanation of the four quadrants.

Identifying and Plotting Coordinates

A lesson plan in which students investigate the plotting of coordinates on the Cartesian Coordinate grid using a “Battleship” type game. The site provides rules, descriptions, and worksheets for the game along with scoresheets and sample ship deployments

The Internet Mathematics Library

Links to sites for all strands of mathematics and all ages. Teaching strategies, educational materials, lesson plans, etc.

Java Kali Home Page

This grade 4-8 site lets you draw symmetrical patterns based on any of the 17 wallpaper groups as well as several frieze and rosette groups. Program instructions are included and a Java-capable browser is required to run the program.

The Maths File Game Show

Site features a game wheel powered by shockwave, printouts for class use, and teacher tips.

The Math Forum

This site contains resources for all strands and grade levels including discussion groups, problems of the week, units and lessons. The Mathematics Education page deals with key issues; including articles that deal with Assessment, Collaborative Learning, Interdisciplinary Math and Technology in Math Education.

The Math Forum Ask Dr. Math

This is a question and answer service for math students and their teacher with a searchable archive available organized by level and topic. It includes summaries of frequently asked questions, and includes Problem of the Week archives with non-routine challenges for students in grades 3-12. Each week several well-written student solutions are highlighted.

The Math Forum - Middle School Student Center

This page contains problems, activities, and projects for intermediate math students. Many links and references to mailing lists and newsgroups to talk to other kids about math.

Math Goodies

These 54 interactive math lessons grouped in 8 modules actively engage students in the learning process and provide them with immediate feedback. Each lesson provides examples with solution, definitions and explanation and at the end of each module challenge exercises are included and could be used to assess understanding of module concepts. It addresses all strands except geometry.

Math League

A handy reference guide for math topics for grades 4-8, complete with examples, definitions, and explanations. Covers decimals, fractions, geometry, introductory algebra, and much more.

Mathematics

A comprehensive Math site that has activities on topics:Measurement of Boxes, Tangrams,Geometric Shape Formation as well as others.

Mathworld Interactive

MathWorld is dedicated to helping educators and parents motivate their students to solve open-ended word problems, communicate mathematically, and share cultural and geographical information.

MegaMathematics

These investigations involve hands-on exploration, opportunities for mathematical thinking, problem solving and communication. They contain extensive background material that assumes that the topic of the lesson is new to the teacher. It makes connections to NCTM standards, and topics include map coloring, graph theory, knot theory, finite state machines, algorithms, logic and infinity.

The Proof of the Century!

This site provides an investigation of mathematical proof as it applies to Pythagorean Theorem. Students explore the theorem as well as Pythagorean triples. Web research is necessary for this activity and appropriate URL’s are provided. Student worksheets as well as teacher instructions are part of this site.

Pythagorean Theorem: Internet Scavenger Hunt

This site contains a scavenger hunt that requires students to investigate Pythagorus, Pythagorean Theorem as well as simple proofs and “real world” type questions. Students are also asked to write their own questions.

Quia

This site is suitable for K-8 +, including 4 different geometry games (matching, flashcards, concentration and word search). A geometry section addresses geometric terms as well as kinds of angles along with their definitions.

Scholastic

This site has links to other sites, questions, example, and games for kids.

Webmath at Discovery School

This site contains original lesson plans all written for teachers by teachers, organized by subject and grade. The Brain Boosters archive addresses math areas of logic, number, reasoning and spatial awareness.

Word Problems For Kids

This Web Site contains word problems for students and teachers. The problems are classified into grade levels from Grade 5 to Grade 12. THIS IS NOT A TEST, but a set of carefully selected problems which can help you improve your problem solving skills -if you try to carefully think about how you would solve each problem, and once you have found the solution, you make sure that you understand all parts of the solution. You can try any problem you like and if the problem is a little difficult you can get helpful hints by following the hints link.

Site Name	Online	Description
AuntyMath		"Aunty Math" will present a new math challenge to the internet audience via the DuPage Children's Museum site on the World Wide Web. Each challenge is presented in the form of a story taken from the life of Aunty Math.
Duelling Pinwheels		Duelling Pinwheels is a Geometer’s Sketchpad activity that demonstrates transformations; rotations, translations, and reflections. The site includes teacher directions, student handouts and questions for further exploration. There are connections to other math activities.
Geometer's Sketchpad Materials		[Sketchpad] We have placed some materials related to Geometer's Sketchpad (GSP) on the Web for your reference. It is suggested that you read these materials to help you gain familiarity with the potential of GSP as well as some of the geometry topics in the middle school curriculum where GSP may be useful.
The Geometer’s Sketchpad Online Activity Guide		[Sketchpad] These links take you to other sites discussing Sketchpad or presenting Dynamic Geometry activities, lessons, and ideas. For information about print-based resources, consult the Bibliography.
The Geometry of Computer Graphics		[Sketchpad] The recent field of computer graphics nicely merges many elegant and simple geometric ideas with concerns about function, realism, and aesthetics. In so doing, it provides a stimulating context for exploring many traditional topics of an introductory geometry course. In this paper, which is based on my after-dinner presentation at the St. Olaf conference, I develop a number of problems and activities drawn from the field of computer graphics, and illustrate them with dynamic sketches from The Geometer's Sketchpad.
Helping your Child Learn Math		This is an excellent site for parents, clarifying what it means to be a problem solver, to communicate mathematically and to demonstrate reasoning ability. It has 3 main sections: introduction (explains the basic principles underlying the current approach to Math); activities (using dice, coins, decks of cards) to do with children aged 5 through 13 arranged at increasingly harder levels of difficulty and lists of resources.
Kunkel’s Mathematics Lessons		[Sketchpad] These are some mathematics investigations I have pursued over the years. They may be of some interest to teachers, students, or hobbyists. I try to convey a conceptual understanding, usually without rigorous proof. Some of the lessons are accompanied by questions and suggestions for extensions.
Math Forum: Geometer's Sketchpad Tessellation Instructions		[Sketchpad] An online tutorial by Cathi Sanders on using the software program Geometer's Sketchpad to create tessellations
Math Forum: Tessellation Tutorials by Suzanne Alejandre		Definitions and examples of regular & semi-regular tessellations are given with student created examples. One Mathematical idea that can be emphasized through tessellations is symmetry. The activities include: The Four Types of Symmetry in the Plane and Repeated Reflections of an "R". The site includes a section of historical and geographical connections. Tutorials include: (a) Claris Works: Colour Tessellations, (b) HyperCard: Black and White, (c) Geometer's Sketchpad: colour, (d) HyperStudio: colour, (e) PC Paintbrush or Paint: colour, and (f) LogoWriter: Programmed Tessellations Using materials such as templates, a straightedge and compass, and pattern blocks to make tessellations.
Math Lesson Plans		This is divided into three segments- K-5, 6-8, 9-12, and addresses all strands. Each lesson plan consists of grade level, strand, an overview, objectives, materials needed, procedures, and some encouraging students to talk and write about what they have learned.
Mathematics Clarifying the TEKS		This supports investigations and co-operative group work and is suitable for 1-8, including grades 9-10. Although it lacks an assessment rubric, it includes assessment tasks and extensions and consists of guiding and summary questions which could be used as sources for student communication but that are implicit rather than explicit in the directions.
Pythagorean Theorem		Students complete a computer based lab in order to review the Pythagorean Theorem. The lab requires the “Paint” program standard on Windows or the Draw Program in AppleWorks for Macs or Windows. Students then use the Pythagorean Theorem to solve a “real world” problem.
Teachers Helping Teachers		Dr. Mandel's Mathematics "Teachers Helping Teachers" website designed to share ideas that can be immediately implemented into the classroom and to provide new ideas in teaching methodologies.
Totally Tessellated		This junior/intermediate site has a History link that explains the role of tessellations in history and cultures around the world. An Essentials link provides background information with an introduction to simple tessellations with regular and non-regular polygons. A Mosaics/Tiling link explains fundamental tessellations as well as how to modify and create new tessellations. A link also introduces the Dutchmaster artist, M. C. Escher and his famous tessellated designs.
Transformations		This junior/intermediate site is an interactive study of the three kinds of transformations: translations, reflections and rotations. Instructions and questions to think about are included.
4th and 5th Grade Student research Resources		a. Figure This: Math Challenges for Families - This is designed to provide an exciting and family-friendly way to become more involved in learning math. Each challenge, categorized by strand, features a description of the math involved, a note on where the math is used in the real world, a hint to get started, complete solutions, and additional related problems with answers. Family Corner has family support materials. b. Problem Solving &endash; Searching for Solutions - This site supports the NCTM standards (hence, the Ontario Curriculum), and introduces students to 8 different problem solving strategies and real-life practice activities for applying problem-solving skills. A rubric is included as an assessment tool and is divided into 5 sections: correct answer, problem understanding, strategy, communication and reasonable result.
A+ Math		This introduces activities which will help students improve math skills interactively. It has Flashcards, Game Room, Homework Helper (allows students to create own problems and will check to see if answer is correct), and worksheets.
AAAMath		This interactive K-8 site addresses all strands and includes an explanation of the math topic and practice questions. A correct answer is given if an error is made.
The AIMS Puzzle Corner		The goal of this grade 4-8 site is to provide teachers with a variety of interesting puzzles and the mathematics behind them. Each month a different puzzle is introduced and solutions appear the following month. Past puzzles and solutions are archived.
About the numbers in today’s date		Read interesting and little-known facts about the numbers 1 to 31..
Animations on the Geometer’s Sketchpad		This site has 3 links: (a) Scope and Sequence &endash;charts of the measurement and geometry objectives in the grade 6-8 British Columbia Mathematics curriculum, (b) Lesson Plans Using GSP &endash;overviews of units and objectives by grade with 5-7 plans for each grade, (c) Teacher Inservice Lessons to Learn GSP &endash;skills required for GSP teaching in grades 6 to 8. Topics are divided into units with goals and activities for each unit.
AskERIC Math Lesson Plans: Mathematics		These are suitable for grades K-12 and are organized by subject and topic. They address many math strands and support co-operative learning and the use of manipulatives. Each lesson plan includes grade level, goals and objectives, materials needed, procedure, some include assessment and closure suggestions.
BBC Education-Maths File-Games Wheel		An interactive, fun site where each game/print-off explores areas of the U.K's National Curriculum. Strands are similar to Ontario's, but games are only available if you install the free, (takes 20 min.) Shockwave plug-in.The "Animal Weigh in" game may be confusing, (makes conversions between pounds and kilograms, kilograms and stone), and the money symbol is L (pound).
BBC Education-Maths File-Print Offs		Printable worksheets one for each of the three levels of difficulty. Answers can be found at http://www.bbc.co.uk/education/mathsfile/printoffs/answers.html These print offs require knowledge of transformations. Dice and counters are needed to play each game. Tracing paper and mirrors may be used by some players.
Centre for Innovation in Mathematics Teaching		This site includes resources for teaching mathematics: worksheets, ideas for activities, games, and puzzles (including tangram and pentomino puzzles).
Dave’s Math Tables		This site contains helpful hints on geometry, algebra, fractions, graphing, vectors and basic math.
FunBrain.com		This is an interactive site for grades 1- 12, and a grid makes it easy to find an appropriate game for a specific grade level. Each game has 3 - 4 levels of difficulty.
Funbrain.com - What's the Point?		This game has four levels of difficulty: Easy, Medium, and Hard. Keep track of your coordinates on the graph. Test your graph reading skills with this game that is sure to challenge you.
Geometric Sculptures		Huge collection of Photos and descriptions of geometric sculptures
Geometry and Spatial Sense: Sample Lessons		This K-8 site supports expectations from the Geometry strand. The sample lessons are grouped K-2, 3-5, and 6-8. The major concepts include symmetry, motion geometry, tessellations and others. It stresses the need to work first with manipulatives such as pattern blocks, tangrams, and multilink cubes.
Harcourt Animated Math Glossary		This has a very complete glossary of math terms for each grade level, 1-8. In the primary grades, the term is accompanied by a visual and/or very brief definition, and in junior/intermediate grades, the term is accompanied by a description and examples.
Harcourt Math Advantage		This site requires the "shock wave" plug-in, and is suitable for grades 1-8. Most strands are represented except Data Management and Probability. It includes an Animated Math Glossary appropriate for each grade level.
HomeWork Help		This site addresses pre-algebra, algebra and geometry. A wide variety of topics are included for each of these three subjects. Each topic includes a First Glance followed by an In Depth look at the topic, Examples and Workouts (practice questions). The Math Library link includes such features as glossary, formulas and the history of math.
How to do the Plane?		Way back when, math was divided into geometry and algebra, and these were two totally separate subjects. You pretty much didn't do equations in geometry, and you pretty much didn't do pictures in algebra. Then, around 1637, a French guy named Rene Descartes (pronounced "ray-NAY day-CART") came up with a way to put these two subjects together. This site provides worked examples of graphing single points and an explanation of the four quadrants.
Identifying and Plotting Coordinates		A lesson plan in which students investigate the plotting of coordinates on the Cartesian Coordinate grid using a “Battleship” type game. The site provides rules, descriptions, and worksheets for the game along with scoresheets and sample ship deployments
The Internet Mathematics Library		Links to sites for all strands of mathematics and all ages. Teaching strategies, educational materials, lesson plans, etc.
Java Kali Home Page		This grade 4-8 site lets you draw symmetrical patterns based on any of the 17 wallpaper groups as well as several frieze and rosette groups. Program instructions are included and a Java-capable browser is required to run the program.
The Maths File Game Show		Site features a game wheel powered by shockwave, printouts for class use, and teacher tips.
The Math Forum		This site contains resources for all strands and grade levels including discussion groups, problems of the week, units and lessons. The Mathematics Education page deals with key issues; including articles that deal with Assessment, Collaborative Learning, Interdisciplinary Math and Technology in Math Education.
The Math Forum Ask Dr. Math		This is a question and answer service for math students and their teacher with a searchable archive available organized by level and topic. It includes summaries of frequently asked questions, and includes Problem of the Week archives with non-routine challenges for students in grades 3-12. Each week several well-written student solutions are highlighted.
The Math Forum - Middle School Student Center		This page contains problems, activities, and projects for intermediate math students. Many links and references to mailing lists and newsgroups to talk to other kids about math.
Math Goodies		These 54 interactive math lessons grouped in 8 modules actively engage students in the learning process and provide them with immediate feedback. Each lesson provides examples with solution, definitions and explanation and at the end of each module challenge exercises are included and could be used to assess understanding of module concepts. It addresses all strands except geometry.
Math League		A handy reference guide for math topics for grades 4-8, complete with examples, definitions, and explanations. Covers decimals, fractions, geometry, introductory algebra, and much more.
Mathematics		A comprehensive Math site that has activities on topics:Measurement of Boxes, Tangrams,Geometric Shape Formation as well as others.
Mathworld Interactive		MathWorld is dedicated to helping educators and parents motivate their students to solve open-ended word problems, communicate mathematically, and share cultural and geographical information.
MegaMathematics		These investigations involve hands-on exploration, opportunities for mathematical thinking, problem solving and communication. They contain extensive background material that assumes that the topic of the lesson is new to the teacher. It makes connections to NCTM standards, and topics include map coloring, graph theory, knot theory, finite state machines, algorithms, logic and infinity.
The Proof of the Century!		This site provides an investigation of mathematical proof as it applies to Pythagorean Theorem. Students explore the theorem as well as Pythagorean triples. Web research is necessary for this activity and appropriate URL’s are provided. Student worksheets as well as teacher instructions are part of this site.
Pythagorean Theorem: Internet Scavenger Hunt		This site contains a scavenger hunt that requires students to investigate Pythagorus, Pythagorean Theorem as well as simple proofs and “real world” type questions. Students are also asked to write their own questions.
Quia		This site is suitable for K-8 +, including 4 different geometry games (matching, flashcards, concentration and word search). A geometry section addresses geometric terms as well as kinds of angles along with their definitions.
Scholastic		This site has links to other sites, questions, example, and games for kids.
Webmath at Discovery School		This site contains original lesson plans all written for teachers by teachers, organized by subject and grade. The Brain Boosters archive addresses math areas of logic, number, reasoning and spatial awareness.
Word Problems For Kids		This Web Site contains word problems for students and teachers. The problems are classified into grade levels from Grade 5 to Grade 12. THIS IS NOT A TEST, but a set of carefully selected problems which can help you improve your problem solving skills -if you try to carefully think about how you would solve each problem, and once you have found the solution, you make sure that you understand all parts of the solution. You can try any problem you like and if the problem is a little difficult you can get helpful hints by following the hints link.