GeoBoard Activities

Trangles on a 3x3 piboard

National Strategies – Exemplification Examples: Geometry and Measures

I have always found the above task, suggested in the National Strategies exemplification examples (Geometry & Measures page 10 of pdf) an excellent one when looking at types of triangles and their properties. Students are required to find the number of unique triangles on a 3×3 grid. The task can be extended by asking students how many unique triangles there are on a 4×4 grid (29). A good discussion can be had on being systematic in approach. Owen on TES has provided an excellent (free) resource on quadrilaterals on a 3×3 grid.

Quadrilaterals 3x3

Two excellent resources are the Nrich Geoboard (and note environments not requiring Flash) or this one from the Math Learning Centre.
The following slideshow illustrates these two resources and ends with what I think is a great exploration:

You can also find some great resources which have been created using GeoGebra.
GeoGebra GeoBoardGeoGebra isometric dot paper

A valuable source of ideas comes from Nrich, see these activities. (Nrich also have a Virtual Geoboard in their generic interactive resources collection (scroll down the page). Also from Nrich, we have Exploring Mathematics on dotty grids.

A search for further activities returned this Desmos resource, Exploring Area with Geoboards; Triangles.

GeoBoards Triangles

Exploring Area with Geoboards: Triangles – Desmos

See also Exploring Quadrilateral Area with Geoboards.

 

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