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pizzas can be quite messy, get a large piece of paper and, using a
plate, draw round it to get a circle then cut it out. Colour it in
to make a pizza of your choice! Fold the circle in half to make 2
halves. If you fold it in half again you will get 4 quarters. How
many 'slices' will you have if you fold it in half again? Have you
noticed a number pattern? If you were to fold it again (quite difficult
now!) how many slices do you think you would have?
So much for
circles...what about rectangles? Use a piece of A4 paper to try
the same experiment. Although the shapes are different are the number
patterns the same? How far could you take the number pattern?
Try
some different rectangles then have a go with a parallelogram or
a rhombus. What do you notice about some of these shapes when you
try to fold them into equal fractions?
This
next one is a bit more tricky. How about a triangle? Cut out a large
triangle and try folding it to make different fractions but remember,
all the shapes you make must be exactly the same! It can be done
but you have to think carefully about where you make the folds!
Try
experimenting with different sorts of triangles (right-angled, isosceles,
equilateral etc.). Some triangles are easier than others, why do
you think that is?
If
you managed to master circles, rectangles and triangles, see if
you can do the same with other shapes. Again, some shapes will be
easier than others. There is a reason for this, can you find out
the answer?
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