Although trial and error is one way to solve this problem of
dividing the larger space, some visualising and planning before
tackling the problem will lead to a more considered solution. The
first consideration is how many lines does it take to divide
regions. Youngsters often think that it requires four lines to
divide the rectangle in to four regions. This also leads to a
discussion of the difference between dividing in half as opposed
to two, dividing into quarters as opposed to four sections. The
stipulation that one of each of the shapes has to be in each
section provides a way to review the properties of the different
polygons.
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