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Dive into Exponential Functions: Folding Paper to the Moon Challenge!

Learn about the fascinating world of exponential functions by exploring the question of folding paper to reach the moon's thickness. Discover how the power of exponential growth can lead to surprising results through interactive examples and explanations.

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Dive into Exponential Functions: Folding Paper to the Moon Challenge!

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Presentation Transcript

  1. Exponentials!

  2. Question… • How many times must you fold a sheet of paper in half, in order for it to have the thickness to reach the moon?

  3. Answer • Believe it or not, the answer is a mere… 45! How is this possible? Click there.

  4. First • Is it possible to fold paper 42 times? Click there • Get out a sheet of paper and fold it in half as many times as you can. • How many did you get?

  5. Exponential Functions • Exponential functions have a base form just like any other function. • But first let’s define an exponential function. • Exponential function – a function where the independent variable is in the exponent!

  6. General form and example

  7. Can we make a function out of paper folds? • Folds Thickness

  8. What is the initial value? • What is the growth rate? • Y = 1(2)x

  9. What about the area of the paper?

  10. Also an exponential • Y = (1/2)x

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