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Mathematician Or Magician?

Mathematician Or Magician? . Mabra Karpie and Jamie Ross SUNY Fredonia AMTNYS October 27-29, 2011. Great hooks, ice breakers, Friday Fun activities, or great ideas to have in your back pocket! …Using . Lets begin our First Magic Trick….

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Mathematician Or Magician?

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  1. Mathematician Or Magician? Mabra Karpie and Jamie Ross SUNY Fredonia AMTNYS October 27-29, 2011

  2. Great hooks, ice breakers, Friday Fun activities, or great ideasto have in your back pocket! …Using

  3. Lets beginour First Magic Trick….

  4. Pick a number Don’t tell me!

  5. Is your number on this page?

  6. Is your number on this page?

  7. Is your number on this page?

  8. Is your number on this page?

  9. Is your number on this page?

  10. Your number is...

  11. Pick a number Don’t tell me!

  12. Is your number on this page?

  13. Is your number on this page?

  14. Is your number on this page?

  15. Is your number on this page?

  16. Is your number on this page?

  17. Your number is...

  18. Binary Representation • How does this work? • Every positive integer has a unique binary representation. In layman’s terms, every positive integer can be written as a sum of powers of 2. • You can add more cards to guess numbers up to one less than a power of two. For example, you can add one more card to guess numbers up to 63. • Where in the curriculum can you use this? • Introduction to binary numbers • Exponents & powers • Place Value

  19. On to the NextMagic Trick..

  20. Functional Card Trick • How did Mabra know your card!!?? • Stacked Deck • “CHaSeD” • Composite Functions

  21. Functional Card Trick A 2 3 4 5 6 7 8 9 10 J Q K A 2 3 4 5 6 7 8 9 10 J Q K C H S D C H S D

  22. Functional Card Trick • Where in the curriculum? • Functions • Composition of functions • Modular arithmetic

  23. The Finale…

  24. Step 1: Pick your favorite three-digit number _ _ _ (all different digits). Step 2: Reverse the three-digit number. Step 3: Take the smaller three-digit number and subtract it from the larger. Make sure you have a 3-digit number. Step 4: Take that answer and reverse it again. Step 5: Add the numbers from Step 3 & 4.

  25. 1089! • What just happened??!!!! • , which is • Steps 1, 2, & 3 result in • Steps 4 & 5 always give • Where in curriculum? • Addition, Subtraction • Number sense

  26. Tricks cover: • Algebra • Binary numbers • Composition of functions • Digital root • Exponents, powers • Functions • Modulo arithmetic • Number sense • Parity • Place value

  27. Questions? MabraKarpie: mkarpie@fredonia.edu Jamie Ross: jross@fredonia.edu SUNY Fredonia We have one more trick for you!

  28. Every good magician can pull a bunny out of his hat right?Want to see it happen live?!

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