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. A valuable source of ideas comes from Nrich, see these activities and Exploring Mathematics on dotty grids.

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 search for further activities returned this Desmos resource, Exploring Triangle Area with Geoboards.

See also Exploring Quadrilateral Area with Geoboards.

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