If you've decided to go onto some written work in the form of a
spreadsheet there are plenty of opportunities for thinking hard
about the formulae that are required to generate further
These formula will often come from firstly visualising, comparing
with others how they have visualised, then, trying to jot down
ideas either pictorially or numerically.
The activity could then be extended into looking at the results
achieved for a number of sizes of cubes, and asking about the
patterns that are evident.
As is often the case, by looking at
in many instances further patterning can
With any patterns that are noticed it is always good to ask WHY
such patterns have come about. This can sometimes lead the person
to exclaim "Of course !!!"