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Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

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Inside Triangles

Age 5 to 7 Challenge Level:

Here is a four by four dotty grid:

four by four dotty grid

I have joined three dots on the grid to make a triangle which has one dot inside it:

triangle with one dot inside

How many different triangles with one dot in the middle can you draw?

How do you know have found them all?

You may like to experiment with the pegboard interactivity below, or you could print off this page of dotty grids to work on.



 

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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