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Geometry games and resources online

Elementary Geometry Topics

Buzzing with Shapes
Tic tac toe with shapes; drag the counter to the shape that has that amount of sides.
www.harcourtschool.com/activity/buzz/buzz.html

Patch Tool
An online activity where the student designs a pattern using geometric shapes.
illuminations.nctm.org/ActivityDetail.aspx?ID=27

Guess the Random Angle
Estimate and guess the angles shown.
www.crickweb.co.uk/assets/resources/flash.php?&file=angle

Ladybug Leaf
Guide the ladybug by giving her commands to turn 90° or 45°, right or left, or to move forward/backward.
nlvm.usu.edu/en/nav/frames_asid_287_g_2_t_3.html

LadyBug Mazes
Similar to the Ladybug Leaf, but this time you guide the ladybug through the maze.
nlvm.usu.edu/en/nav/frames_asid_141_g_2_t_3.html

Interactive Quadrilaterals
See all the different kinds of quadrilateral "in action". You can drag the corners, see how the angles change, and observe what properties do not change.
www.mathsisfun.com/geometry/quadrilaterals-interactive.html

Polygon Matching Game
www.mathplayground.com/matching_shapes.html

Polygon Sort
Drag and drop the polygons in the correct place in the diagram.
www.crickweb.co.uk/assets/resources/flash.php?&file=quad

Polygon Playground
Drag various colorful polygons to the workarea to make your own creations!
www.mathcats.com/explore/polygons.html

Interactive Tangram Puzzle
Place the tangram pieces so they form the given shape.
nlvm.usu.edu/en/nav/frames_asid_112_g_2_t_1.html

Tangram
Interactive tangram pieces. Build your own shapes or try make the given shapes.
www.crickweb.co.uk/assets/resources/flash.php?&file=tangram

Tangram set
Cut out your Tangram set by folding paper
tangrams.ca/inner/foldtan.htm

Geometry Shapes
A brief study of the properties of basic 2d and 3d geometrical shapes. Has a flash movie, fact sheet, and a test.
www.bbc.co.uk/schools/ks2bitesize/maths/shape_space_measures.shtml

Shape Explorer
Find the perimeter and area of odd shapes on rectangular grid.
www.shodor.org/interactivate/activities/ShapeExplorer/

Interactive Geometry Dictionary: Areas in Geometry
The applets will show you how to find the area of some common shapes.
illuminations.nctm.org/ActivityDetail.aspx?ID=21

Geometric Solids
Manipulate various geometric solids. Color the solid to investigate properties such as the number of faces, edges, and vertices.
illuminations.nctm.org/ActivityDetail.aspx?ID=70

Angles
Practice your knowledge of acute, obtuse, and alternate angles, plus relationships between angles such as vertical, adjacent, alternate, same-side, and corresponding.
www.shodor.org/interactivate/activities/Angles/

Turtle Pond
Estimate length and angle measure while guiding a turtle to a pond using computer commands.
illuminations.nctm.org/ActivityDetail.aspx?ID=83

Banana Hunt at Primary Games
Help the monkey to find bananas and learn to estimate angles.
www.primarygames.co.uk/pg2/bhunt/bhunt.html

Cuboid Exploder and Isometric Shape Exploder
These interactive demonstrations let you see either various cuboids (a.k.a. boxes or rectangular prisms) or various shapes made of unit cubes, and then "explode" them to the unit cubes, illustrating volume.
www.teacherled.com/resources/cuboidexplode/cuboidexplodeload.html and
www.teacherled.com/resources/isoexplode/isoexplodeload.html

Billy Bug Returns at Primary Games
Move Billy Bug to the feeding place with given coordinates.
www.primarygames.co.uk/pg2/bug2/bug2.html

Worksheets and lesson plans: Shape and Space
Worksheets about angles and shapes and a few other geometry topics in PDF/doc/ppt form.
www.saveyoursundays.com/web/index.php/main/index/menuid/2#section9

Make Your Own Mandala
A mandala is a circular symmetrical design based on eights. Make your own and experiment with symmetry.
www.girlsgotech.org/world_around_us.html

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Coordinate plane

General Coordinates Game
Either type in the coordinates of a shown point or give coordinates and applet will plot the point.
www.terragon.com/tkobrien/algebra/topics/orderdpairs/op.html

Graphit
A graphing tool that plots both functions and ordered pairs.
www.shodor.org/interactivate/activities/graphit/index.html

Graph Mole
A fun game about plotting points in coordinate plane. Plot points before the mole eats the vegetables.
funbasedlearning.com/algebra/graphing/default.htm

Function Flyer
Create graphs of functions but also allows the manipulation of constants and coefficients in any function so the user can explore the effects on the graph by changing those numbers.  Great tool!www.shodor.org/interactivate/activities/flyall/index.html

Rate of Change in Linear Functions
These great interactive graphs illustrate the concepts of linearity and slope. The discussions provided help the teacher in how to use them.
standards.nctm.org/document/eexamples/chap6/6.2/index.htm

See also the graphing software section.

Middle school geometry (grades 6-8)

Interactive Geometry
at Mathsnet.net. This is by far the most comprehensive & magnificent interactive geometry resource I've found in the Internet!  The link above is to the main page, or use these quick links to access some of the tutorials (there are lots more):
www.mathsnet.net/geometry/index.html

• Interactive Shape
  Get a clear and complete understanding of shapes, their patterns and properties with the help of interactive pictures.
  www.mathsnet.net/shape/index.html

• Interactive Constructions
  Interactive online course covering points, lines, circles, perpendiculars, bisectors, Euclid, irrationals etc.
  www.mathsnet.net/campus/construction/index.html

• Interactive Pythagoras' Theorem
  History, eleven different proofs illustrated with Java applets, problems, related things, and more.
  www.mathsnet.net/dynamic/pythagoras/index.html

• Three Dimensions
  View 3-D interactive pictures of Platonic solids, Prisms, Pyramids, practice your ability to visualize 3-dimensional objects from all viewpoints, and more. www.mathsnet.net/geometry/solid/index.html

Absorb Mathematics
Absorb Mathematics is an excellent interactive course written by Kadie Armstrong, a mathematician. The lessons in it contain interactivity, explanations, and quiz questions. The course concentrates on geometry and trigonometry but includes a few other topics as well. While most of the content is accessible by a fee only, some lessons are available as free samples:

• Working with Angles
• Geometric Construction
• Ratio and Scale
• Looking at Polygons
• Angles in Polygons
• Similarity and Congruence

Geometry - Math Warehouse
Detailed lessons about angles, triangles, quadrilaterals, circles, similar triangles, parallelograms, polygons, and trapezoids.
www.mathwarehouse.com/geometry

National Library of Virtual Manipulatives for Interactive Mathematics: Geometry
Collection of interactive geometry activities: Congruent triangles, fractals, geoboard activities, Golden rectangle, Ladybug leaf, Ladybug mazes, platonic solids, tangrams, tessellations, transformations and more.
nlvm.usu.edu/en/nav/category_g_3_t_3.html

Geometric Constructions Illustrated with Interactive Java Applets
Drag various points in the sketch to explore additional cases. Also gives complete directions for using The Geometer's Sketchpad® software to construct the basic geometry constructions.
www.nvcc.edu/home/tstreilein/constructions/contents.htm

Geometry Gizmos at Explorelearning.com
"Gizmos" are interactive virtual 'gadgets' that let you explore the mathematical concept. Exploration guides included. By subscription; has free trial. Excellent!
www.explorelearning.com/index.cfm?method=cResource.dspChildrenForCourse&CourseID=122

Triangle Explorer
Practice finding the area of triangles.  NICE!
www.shodor.org/interactivate/activities/triangle/index.html

Interior Angles
A nice lesson and explanation about interior angles of polygons.
www.coolmath4kids.com/interior.html

Math Buddy - lessons on angles
Lessons with interactive demonstrations on angles on a straight line, adjacent angles, supplementary, complementary, and vertical angles. Includes "Hit the fruit" game.
www.mathbuddyonline.com/lessons/math/geometry/angles/pairsofangles/index.html

Angles
Practice obtuse/right/acute angles, and vertical/corresponding/alternate interior or exterior angle concepts
www.shodor.org/interactivate/activities/angles/index.html

Area Of Parallelogram
This Java applet and the discussion illustrates where the formula for area of parallelogram comes from.
www.cut-the-not.com/Curriculum/Geometry/AreaOfParallelogram.shtml

Dynamic Rectangle and Parallelogram
Drag the sides of a dynamic parallelogram or a rectangle to explore these concepts.
standards.nctm.org/document/eexamples/chap5/5.3/index.htm

Length, Perimeter, Area and Volume of Similar Figures
Use this interactive figure to explore how the scale factor affects the size and the area of similar figures.  The discussion provided helps the teacher, but a specific lesson plan would be more helpful.
standards.nctm.org/document/eexamples/chap6/6.3/index.htm

Geometry Reference Sheet
Both online and printable versions; includes area and volume formulas for common shapes plus Pythagorean Theorem.

www.ecalc.com/math-help/worksheet/geometry

Maisonet Math
PDF worksheets and online quizzes on a variety of geometry (and other) topics. Look for the links in the left sidebar for Angles, Area, Circumference, Geometry, Transformations, and Volume.
www.mrmaisonet.com

Great Pyramid
Clear instructions on how to make a scale model of the Great Pyramid at Giza out of paper.
mathforum.org/alejandre/mathfair/pyramid2.html

Polyhedra in the Classroom
With this list of internet based activities you can go through a comprehensive study of polyhedra according to objectives of 8th grade.
mathforum.org/alejandre/workshops/unit14.html

Studying Polyhedra
Introduction of the concept, links, great applet illustrating the 5 regular polyhedra.
mathforum.org/alejandre/applet.polyhedra.html

Paper Models of Polyhedra
This site provides hundreds of free printable paper models for various solids, including platonic solids, pyramids, and lots of polyhedra. Some are available as colored versions also.
www.korthalsaltes.com

Dome Book
Instructions for building geodesic play-domes out of cardboard or plastic. The site includes two free printable dome models and a book that contains plans for constructing nine kinds of domes in any size desired.
www.domebook.com

Pythagorean Theorem
This interactive figure illustrates the famous theorem and its proof.
standards.nctm.org/document/eexamples/chap6/6.5/index.htm#applet

High school geometry

Online Interactive Geometry
This is by far the most comprehensive & magnificent interactive geometry resource I've found in the Internet!  The link above is to the main page, or use these quick links to access the following tutorials:
www.mathsnet.net/geometry/index.html

• Geometric Construction Course
  Develop your skills of compass-and straightedge constructions with the interactive Java applets
  www.mathsnet.net/campus/construction/index.html

• Interactive Transformations
  Each applet has interactive questions on the side panel so it acts as a great tutorial into rotations, reflections, translations, enlargements and combinations of these.
  www.mathsnet.net/transform/index.html

• Interactive Shape
  Get a clear and complete understanding of shapes, their patterns and properties with the help of interactive pictures.
  www.mathsnet.net/shape/index.html

• Interactive Pythagoras' Theorem
  History, eleven different proofs illustrated with Java applets, problems, related things, and more.
  www.mathsnet.net/dynamic/pythagoras/index.html

• Three Dimensions
  View 3-D interactive pictures of Platonic solids, Prisms, Pyramids, practice your ability to visualize 3-dimensional objects from all viewpoints, and more.
  www.mathsnet.net/geometry/solid/index.html

Simulations of Ruler and Compass Constructions
Practice compass & ruler constructions interactively online. Hints and solutions included.
wims.unice.fr/wims/wims.cgi?session=1V77FB9E9B.5&+lang=en&+cmd=intro&+module=tool%2Fgeometry%2Frulecomp.en&+special_parm=1

Why is High School Geometry so Difficult  A HomeschoolMath.net article
And what to do about it. In this article, I investigate the reasons and remedies for why so many students find their high school geometry course to be difficult.
www.homeschoolmath.net/teaching/geometry.php

Geometry worksheets at AGMath.com
Hundreds of free PDF worksheets for high school geometry topics, loosely based on the "Discovering Geometry" textbook by Michael Serra. Compiled by Jason Batterson, an 8th grade, algebra, geometry, and MathCounts teacher.
AGmath.com/1973.html

Dynamic Geometry® Explorations
A bunch of interactive geometry activities, along with instructions and questions to guide your exploration. Need a Java-enabled browser.
www.keymath.com/DG/dynamic/index.html

Geometry Gizmos at Explorelearning.com
"Gizmo" is an interactive virtual 'gadget' that lets you explore the mathematical concept, and serves as a lesson with the included exploration guide. Find gizmos for Lines and angles, Reasoning and proof, Area, Quadrilaterals and other polygons, Triangles, Similarity and transformations, Right triangle trigonometry, Circles, Three-dimensional figures. You can to register for a free 30 day trial, or subscribe.  Excellent for exploring and understanding!
www.explorelearning.com/index.cfm?method=cResource.dspChildrenForCourse&CourseID=127

Tim's Triangular Page
Lists all the basic facts about triangles followed by some problems.
sakharov.net/triangle.html

Pythagorean Theorem
This interactive figure illustrates the famous theorem and its proof.
standards.nctm.org/document/eexamples/chap6/6.5/index.htm#applet

Transformations
Use these interactive figures to explore geometric transformations (rotations, translations, and reflections AND a composition of these).
standards.nctm.org/document/eexamples/chap6/6.4/index.htm

Symmetries and Their Properties - Lessons from NCTM Illuminations
Ready-to-use online lessons that use interactive Java applets on symmetries:
Rotational symmetry, reflections, translations, and glide reflections.
illuminations.nctm.org/index_o.aspx?id=138

Euclid's Elements
A set of Java applets that bring to life the theorems in the Elements.
aleph0.clarku.edu/~djoyce/java/elements/elements.html

Knowhere
Discover how the structure of space determines the shape of things. Lessons about symmetry of polyhedra, space filling, how atoms pack together, structure of minerals.  Also lessons about structural stability such as inbridges, beams, and buildings - basics of engineering. 
www.polymorf.net/knowhere.htm

High School Measurement Worksheets and Geometry Worksheets
From FunMaths.com website, written by teachers from all over the world.
www.funmaths.com/worksheets/math_measurement_06.htm and
www.funmaths.com/worksheets/math_geometry_02.htm

How to Write a Solution
An article exploring aspects of how to write a clear solution - or proof. Meant for college students but helpful for anyone who wants to learn to write mathematical proofs.
www.artofproblemsolving.com/Resources/AoPS_R_A_HowWrite.php

Dr. Math Geometry Books
Easy-to-read, excellent explanations of middle and high school geometry questions. $7-$10.
www.homeschoolmath.net/reviews/dr_math_geometry.php

NonEuclid
Interactive Java software for creating ruler and compass constructions in both the Poincaré disk and the upper half-plane models of hyperbolic geometry. See also, Why is it Important for Students to Study Hyperbolic Geometry?
cs.unm.edu/~joel/NonEuclid/NonEuclid.html

Books

Math Mammoth Geometry 1
A printable & downloadable worktext for grades 3-5. You will learn geometry by drawing. Topics covered include angles, rectangles, parallelograms, polygons, circles, area, perimeter, and volume. $5.00
www.mathmammoth.com/geometry_1.php

Geometry: A Guided Inquiry
An excellent choice for high school geometry. I've written an in-depth review of this book and of its supplement Home Study Companion - Geometry, latter by David Chandler.

Harold Jacobs Geometry
A popular choice for geometry among homeschoolers, and well written.

Kiselev's Geometry / Book I. Planimetry
A famous Russian geometry book translated. Acclaimed for the clarity of exposition which makes the book accessible for 7th graders.

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