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'Room Doubling' printed from https://nrich.maths.org/
Why do this
problem?
This is an excellent investigation because it is suitable for
learners of all ages (including adults!). It is similar to some
ideas that have come from using Cuisenaire rods, in particular the
red block [2].
Possible approach
Perhaps you could relate to any experiences that the pupils
have had with alterations like these in their own homes. It is
valuable to let most pupils have access to doing it practically as
well as just on squared paper as people think in so many different
ways. Encourage all kinds of recording - some pupils may get into
using symbols to represent the rooms.
Key questions
Tell me how you have thought about the way you can get
answers.
Possible extension
Children could search for patterns by going to much larger
houses with $10$ to $15$ rooms across while still two wide. They
could have a look at thoes houses which are symmetric and/or those
that are a reflection in design to others. Try
here
for more!
Possible support
Give pupils copies of the pictures and maybe make some models
out of Lego.