Tessellating Capitals

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

This is a really good activity to engage all children - those who are less motivated and find mathematics difficult will be able to have a go (and may well surprise you) but there isalso enjoyment and intrigue here for the enthusiastic and mature mathematician!

The problem is good for developing pupils' ability to visualise and, depending on their experience, you may also want to use this as an opportunity to encourage them to use correct mathematical vocabulary relating to transformations. The following questions might be useful in coaxing children to think more deeply, and perhaps differently, about what they are doing:

Could this tessellation be continued for ever? Why or why not?
What is the single repeating unit in the tessellation?
How would you describethe tessellation to someone else?

Other simple C's I found were;
3rdC
and

4thC
Just to carry on here is an H tessellation.

1stH

It's also good to look at what seem like very simple [maybe too simple, we think!] letters and find many ways of tessellating them. To show you the sort of thing I mean look at these variations on tessellating the simple letter L. I used four different orientations and coloured them to help.
L'sA
L'sB
L'sC
L'sD