mathematician or magician?
DESCRIPTION
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…. - PowerPoint PPT PresentationTRANSCRIPT
MATHEMATICIAN OR
MAGICIAN?
Mabra Karpie and Jamie RossSUNY Fredonia
AMTNYSOctober 27-29, 2011
Great hooks, ice breakers, Friday Fun activities, or great ideas to have in your back pocket!
…Using
Lets beginour
First Magic Trick….
PICK A NUMBER
DON’T TELL ME!
17 24 29 2816 22 31 1921 18 20 2325 30 26 27
Is your number on this page?
27 14 15 1031 24 30 2811 8 12 2529 26 13 9
Is your number on this page?
20 23 12 225 28 13 7
15 29 30 621 14 31 4
Is your number on this page?
14 10 18 619 7 31 2327 11 30 215 3 26 22
Is your number on this page?
23 5 17 119 21 1 133 27 7 25
29 31 15 19
Is your number on this page?
Your number is...
PICK A NUMBER
DON’T TELL ME!
17 24 29 2816 22 31 1921 18 20 2325 30 26 27
Is your number on this page?
27 14 15 1031 24 30 2811 8 12 2529 26 13 9
Is your number on this page?
20 23 12 225 28 13 7
15 29 30 621 14 31 4
Is your number on this page?
14 10 18 619 7 31 2327 11 30 215 3 26 22
Is your number on this page?
23 5 17 119 21 1 133 27 7 25
29 31 15 19
Is your number on this page?
Your number is...
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
On to the NextMagic Trick..
Functional Card Trick How did Mabra know your card!!??
Stacked Deck “CHaSeD” Composite Functions
Functional Card TrickA 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
Functional Card Trick Where in the curriculum?
Functions Composition of functions Modular arithmetic
The Finale…
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.
1089! What just happened??!!!!
, which is Steps 1, 2, & 3 result in
Steps 4 & 5 always give
Where in curriculum? Addition, Subtraction Number sense
Tricks cover: Algebra Binary numbers Composition of functions Digital root Exponents, powers Functions Modulo arithmetic Number sense Parity Place value
Questions?
Mabra Karpie: [email protected]
Jamie Ross: [email protected]
SUNY Fredonia
We have one more trick for you!
Every good magician can pull a bunny out of his hat
right?
Want to see it happen live?!