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'Homes' printed from http://nrich.maths.org/
Why do this problem?
is particularly good for the younger children. It starts them off with some freedom with regards to the way that they record what they are suggesting as solutions. The arithmetic involved is number bonds to six but very few children see it as this at first!
It might be a good idea to allow different physical arrangements of the same types of houses to be allowed, particularly if you decide to encourage the children to do some kind of drawing for their record keeping.
This investigation is also a good catalyst for discussion with small groups of children or with individuals, to find out how they are thinking and to encourage them to adopt a systematic approach.
Can you find a way of being sure that you've found all the ways?
Tell me about this arrangement.
Depending on how the pupils have approached this activity, you may be able to ask them for ideas as to what other things they could now explore. If not, you can suggest looking at a plot for 5 houses or 7 houses.
Using multilink will be helpful for some children.