National Strategies – Exemplification Examples: Geometry and Measures

I have always found the above task, suggested in the National Strategies exemplification examples (click on the above image for the 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. A good discussion can be had on being systematic in approach.
The next time I teach it I will certainly use a Geoboard.

Hi Colleen
In my free time i like trying out puzzles recently i tried doing the non congruent triangles in a 3*3 dot grid and attempted the 4*4 grid. I manage to check my solution for a 3*3 but can’t seem to find one for a 4*4. Do you know where I could find this?
Nafeesa

Thank you for this share Colleen. Yes, Geoboard is such a great tool to introduce a lot of concepts (radicals, reflection, pythagorean theorem, etc). I think Beluga is doing great in developing this tool. Looks like they also have different tools coming up.

having them identify all the non-unique permutations of those triangles is also a fun exercise, imho…but then again, i’m a bit OCD. lol

Hi Colleen

In my free time i like trying out puzzles recently i tried doing the non congruent triangles in a 3*3 dot grid and attempted the 4*4 grid. I manage to check my solution for a 3*3 but can’t seem to find one for a 4*4. Do you know where I could find this?

Nafeesa

I have updated https://colleenyoung.wordpress.com/resources/geoboard-activities/ to include the solutions and a good TES resource on quadrilaterals on a 3×3 grid.

Yup i seen that post was a great way to show. If you manage to find the solution please could you let me know thank you x

All sorted! https://colleenyoung.wordpress.com/resources/geoboard-activities/

They do indeed Guillermo; I am looking forward to further developments.

Thank you for this share Colleen. Yes, Geoboard is such a great tool to introduce a lot of concepts (radicals, reflection, pythagorean theorem, etc). I think Beluga is doing great in developing this tool. Looks like they also have different tools coming up.