Space and Geometry 2D and 3D

Kinder, Year 1 and 2 Sites

Interactive Geoboard http://standards.nctm.org/document/eexamples/chap4/4.2/standalone2.htm
The interactive computer geoboard allows students to create and colour shapes using virtual rubber bands.

Online Tangram Challenges http://standards.nctm.org/document/eexamples/chap4/4.4/part2.htm
Students can choose a picture and use all seven pieces to fill in the outline.

Ladybug Rectangles http://standards.nctm.org/document/eexamples/chap4/4.3/Part2.htm
The three-part ladybug example presents a rich computer environment in which students can use their knowledge of geometry to solve interesting problems.

Lessons Shape Witch http://www.csuchico.edu/educ/cguenter/FourArts/VA/VAShapeWitch.html
Students make witches using triangles, rectangles, squares, and circles.

Making Triangles http://illuminations.nctm.org/lessonplans/prek-2/ladybug2/index.html
In this activity, students will use 45- and 90-degree angles to create triangles, and develop an understanding of the relationship between angles and the shape of triangle.

A Matter of Pattern http://www.sciencenetlinks.com/Lessons.cfm?DocID=111
Students will create and predict patterns formed when making paper snowflakes.

What Can You Build With Two Triangles?
http://illuminations.nctm.org/lessonplans/6-8/triangle-68/index.html#a1
Open-ended question that challenges students to become actively involved in mathematical experiments.

3D Shapes Around Us http://ericir.syr.edu/cgibin/printlessons.cgi/Virtual/Lessons/Mathematics/Geometry/GEO0007.html
In this activity, students will identify shapes that architects use to build houses. Students will then explore these shapes by building a model of their \"dream\" home.

Online Logo Geometry http://illuminations.nctm.org/imath/prek2/GeometryConcepts/index.html
This activity provides opportunities for creative problem solving while encouraging young students to estimate length and angle measure.

What are Tessellations? http://www.coolmath4kids.com/tesspag1.html
Explores regular shapes that tessellate.

Shape Story http://illuminations.nctm.org/lessonplans/prek-2/literature-p2/shape.htm Students read a shape poem and illustrate it.

Shape Hunt http://www.sciencenetlinks.com/Lessons.cfm?DocID=133
Students look for examples of patterns and shapes in both the natural and designed world.

Symmetrical Hearts
http://artsedge.kennedy-center.org/
Students will cut hearts out of construction paper of various sizes and glue them together to create a symmetrical animal.

Symmetrical Kites
http://artsedge.kennedy-center.org/
Students will determine whether a shape is symmetrical or asymmetrical and create a kite that is symmetrical.

I've Seen That Shape Before http://illuminations.nctm.org/lessonplans/prek2/shape/index.html
Students learn the names and explore the characteristics of simple 3D shapes.

Shaping Patterns and Dancing Shapes
http://artsedge.kennedy-center.org/
Students explain and then create a triangle, rectangle, square, and circle using rope.

Building With Colours
http://www.crayola.com/ece/ece_display.cfm?id=200
Students use recycled cardboard boxes to create and explore architecture.

Try Straws or Tri-Straws
http://cesme.utm.edu/resources/math/MAG/K-2MAGActivities.pdf/K-2C5A3.pdf
Students create shapes using drinking straws and string.
 

Year 3 and 4
 
Sites Cube Applet
http://illuminations.nctm.org/mathlets/cubes/index.html
The volume of a box can be determined by using this applet to manipulate and enumerate unit cubes, rows of unit cubes, or layers of unit cubes.

Lines, Rays and Angles
http://www.mcwdn.org/Geometry/Lines.html
Explanations of basic geometry concepts.

Elementary Geometry Tutorial
http://www.math.psu.edu/geom/koltsova/index.html
Tutorial about lines, polygons and angles.

Nuts About Geometry
http://library.thinkquest.org/J002441F/
You can learn about the history and uses of geometry, as well as try some fun activities.

Tessellations By Kids http://www.kent.wednet.edu/KSD/HE/staff_home_pages/jasper/geometry.html
Check out these neat tessellations created by Year 5 students.

Hop's Escher Tiles
http://www.tabletoptelephone.com/~hopspage/HopsTiles.html
Collection of creative tessellations.

The Adventures of Super Triangle http://www.nsf.gov/od/lpa/events/fow/fowtfkv3n3/htm/z1_htm/diduno.htm
What’s stronger than a square? More powerful than a rectangle? Able to hold up huge bridges and big skyscrapers? It’s — the amazing, super-powerful triangle!
 

Lessons
 
How Do You Build Triangles
http://illuminations.nctm.org/lessonplans/6-8/triangle-68/index.html#a2
Open-ended question that challenges students to become actively involved in mathematical experiments.

The Greedy Triangle
http://ericir.syr.edu/
Lesson where students use construction paper to form a \"shape garden\".

Measuring Circles http://ericir.syr.edu/
Through the use of children's literature and various household items, students will learn how to measure circumference, radius, and diameter.

Polygons http://ericir.syr.edu/
Students will demonstrate an understanding of the use of the properties and relationships in geometry. Requires geoboards.

Web of Lines http://ericir.syr.edu/
This lesson describes a hands-on way for students to learn about lines, rays, segments, and points.

Identifying and Classifying Polygons http://www.eduplace.com/math/mathsteps/3/a/index.html
Lesson and worksheets about properties of 2D shapes.

Our House
http://www.crayola.com/educators/lessons/display.cfm?id=216
Students use geometric shapes and to create a house that expresses your family's unique personality and characteristics.

Make Your Own Tessellations
http://www.iproject.com/escher/teaching/maketessel.html
Tutorial on how to create tessellations from simple through to complex designs.
 

Year 5 and 6 Sites

Aplus Maths Geometry Flashcard
http://www.aplusmath.com/cgi-bin/flashcards/geoflash
Students decide which geometry term best describes the shape displayed.

The Geometry Center Graphics Archive
http://www.geom.uiuc.edu/graphics/
Images of an artistic nature including fractals and geometric digital art.

What's My Angle? http://ambleweb.digitalbrain.com/ambleweb/ambleweb/ambleweb/mentalmaths/protractor.html Multimedia presentation about how to use a protractor.

Angle Activity http://ambleweb.digitalbrain.com/ambleweb/ambleweb/ambleweb/mentalmaths/angleshapes.html 20 interactive investigations using a protractor.

NRICH Online Maths Club
http://nrich.maths.org/
Interactive geometry problems and puzzles.

Crystallographic Polyhedra http://jcrystal.com/steffenweber/POLYHEDRA/p_16.html
Collection of unusual polyhedra that may be manipulated.

Interactive Geometry http://www.studyworksonline.com/cda/explorations/main/0,,NAV2-21,00.html Explores principles of geometry for more advanced primary students.

Archimedes' Laboratory
http://www.archimedes-lab.org/indexB.html
This geometric puzzle site is designed for open-minded people with a fair amount of curiosity and humility.

Brainpop: Geometry
http://www.brainpop.com/math/
Animation based on properties of shapes.

Tangram Puzzles
http://enchantedmind.com/puzzles/tangram/tangram.html
Exercise in spatial coordination and being able to discern the whole from its randomly scattered parts.
 

Lessons
 
Hidden Polygons
http://math.rice.edu/~lanius/Geom/index.html
Worksheet where students identify various polygons found on triangular gridpaper.

Tangrams http://ericir.syr.edu/
To provide students with some insight as to how tangram pieces fit together.

What Is Important About Triangles?
http://illuminations.nctm.org/lessonplans/6-8/triangle-68/index.html#a3
Open-ended question that challenges students to become actively involved in mathematical experiments.

A Tribute to Miró http://artsedge.kennedy-center.org/
Students use basic lines such as horizontal, vertical and curved, combined with basic geometric and natural shapes, to create an original work.

Matching Math With Mondrian http://www.crayola.com/educators/lessons/display.cfm?id=231
Students identify geometric shapes in the work of Piet Mondrian, then use progressive simplification in their own original artwork.

 

Tessellation Tutorials
http://mathforum.org/sum95/suzanne/tess.intro.html
Tutorials and templates for creating tessellations.

Tessellation Design and Construction http://www.csuchico.edu/educ/cguenter/FourArts/VA/VAtess.html
Lesson featuring individual exploration which emphasize that repetitive shapes, lines and colour patterns can become art.

Geometry in Tessellations http://www.shodor.org/interactivate/lessons/tessgeom.html
This lesson allows students to examine tessellations and their geometric properties.

Designs With Circles
http://mathforum.org/alejandre/circles.html
From a circle it is possible to construct many regular polygons. Find out how.
 

Teacher Reference
 
Geometry Online
http://math.rice.edu/~lanius/Geom/index.html
Worksheets, explanations and problems related to Geometry.

The Geometry Centre
http://www.geom.uiuc.edu/
The Geometry Centre is a mathematics research and education centre at the University of Minnesota.

Welcome to MSW Logo
http://www.softronix.com/logo.html
Extensive range of resources for the Logo programming language.

Tetra Blocks
http://www.handsonmath.com/PAGES/Gallery/Small%20Cube%20Box/index.htm Download these 3D designs and make them for yourself.

Tangram Resources
http://mathforum.org/trscavo/tangrams/resources.html
Tangram games, lessons and software.

Bubble Geometry http://www.sci.mus.mn.us/sln/tf/b/bubblegeometry/bubblegeometry.html
Experiment with bubbles. Create bubble wands out of found objects and have your own bubble festival.

Ask Dr. Math:
http://mathforum.org/library/drmath/sets/elem_2d.html
Questions and answers about basic geometry.

Charlie www.PrimarySchool.com.au
 
Dynamic Geometry and The Geometer's Sketchpad

To view many of the files listed at links shown below you will need a copy of The Geometer's Sketchpad loaded on your computer. Sketchpad is a mathematics visualization program. Files with the .gsp extension will open into Sketchpad when you download them. A demo version of this program is available at http://www.keypress.com/sketchpad/ . It has almost full functionality but you cannot save or print.

The Geometer's Sketchpad Introductory Lab http://mathforum.org/sketchpad/intro/gsp.introlab.html
The purpose of this lab is to help you become accustomed to using the Geometer\'s Sketchpad (GSP).

Geometer's Sketchpad Tutorials http://web.uvic.ca/educ/lfrancis/web/GSPInservice.html
Basic tutorials for using GSP.

Sketchpad in Grades 3-8 http://www.kcptech.com/dgylconf/proceedings/sketches.html
Collection of sketchpad files for use in primary.

GSP Classroom Resources
http://mathforum.org/dynamic/sketchpad.links.html
Links to sketches, activities, and tours.

Geometry Through Art
http://mathforum.org/~sarah/shapiro/
Geometry lessons using GSP.

The Geometer's Sketchpad and Tessellations http://mathforum.org/sum95/suzanne/tess.gsp.tutorial.html
Tutorial for using Sketchpad for creating tessellations.

Sketchpad for Little Ones
http://mathforum.org/sketchpad/littleones/
A collection of sketches for use with primary students.

Sketchpad Links
http://www.keypress.com/sketchpad/sketchlinks.html
Links to sites discussing Sketchpad or presenting Dynamic Geometry activities, lessons, and ideas.

JavaSketchpad DR2 Gallery http://mathforum.org/dynamic/java_gsp/DR2Gallery.html
These pages contain a number of complex GSP Sketches that may be manipulated by students.

 Charlie www.PrimarySchool.com.au

Page by Wayne 2003
 

Index

Wayne
Update
August  2005