Class 8    

Paper folding activity:- Exponential relationship between the number of folds


We can generate the sequence of numbers 1, 2, 4, 8, 16, 32 and so on, just by folding the paper in half again each time. This means that there is an exponential relationship between the number of folds you have made and the number of areas created on the paper.

Folded in half


Paper folded in quarters

Paper folded into eighths






Notice that if I instead fold the paper into thirds each time, the sequence changes into 1, 3, 9, 27, etc… which suggests that folding a piece of paper is a little bit like multiplication.










Paper folded into thirds 

Paper folded into ninths

Paper folded into 27ths

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