The geoboard provides a nicely constrained environment for mathematical exploration, and lends itself to many activities where students can discover, review, or apply important ideas in the K-12 curriculum. This page is a hopefully comprehensive list of links to geoboard activities on this site and on my blog.

All activities I link to below can be done on the CircleTrig Geoboard, a two-sided manipulative I designed. On one side, an 11 by 11 traditional geoboard. On the other side, a circle geoboard, with radius 10 cm, and a 360° protractor. It is available from Nasco. (However, most can be done on traditional 11 by 11 geoboards, or traditional circle geoboards.)

In my experience, "virtual manipulatives" do not work as well to generate student discussion, but they are useful if you don't have the physical version, and also to discuss solutions on the projector or to get images for use in worksheets or student reports. I created this Virtual Geoboard and Virtual Circle Geoboard for those uses, and for distance learning situations.

Compact introduction to the geoboard for teachers: one page | two pages

## 11 by 11 Geoboard

Geometry Labs(free download)Area:Labs 8.4-8.6

Distance, Pythagoras, Radicals:Labs 9.1-9.4, 9.6

Similarity, Slope:Labs 10.1, 10.2

Algebra: Themes, Tools, Concepts(free download)(Some of these lessons overlap and complement the ones inGeometry Labs)

Area:Lessons 1.12, 2.12, 4.12, 6.12, 11.A

Distance, Square RootsLessons 6.12, 7.12, 9.1-9.4, 9.A, 9.9, 9.C,

Similarity, Slope:Lessons 3.12, 8.3, 11.3## Also on this site

Virtual Geoboard

Proving Pick's Formula

Dot Papers

Connect the Dots: lattice problems and puzzles for teachers (and students)

Connecting the Dots! (presentation slides): html | PDF | Keynote

A debate about the geoboard## Blog posts

Geoboard Triangles

Inscribing Geoboard Squares in Polyominoes

No Three on a Line

Heilbronn's Triangle

Ariadne's String

Geoboard Problems for Teachers

Geoboards and Dot Paper

## Circle Geoboard

Geometry Labs(free download)Angles:Labs 1.7-1.9

Symmetry:Lab 5.5

Area:Labs 9.5, 11.7

Basic trig:Labs 11.1-11.7

(All but the trig activities can be done on any circle geoboard. The trig activities require the CircleTrig geoboard.)## Also on this site

(excerpts fromGeometry Labs)

Angles

The 10cm Circle

10-cm circle paper