Transcript Every Day Is Mathematical

Every Day Is Mathematical
Rita Barger, Ph.D.
[email protected]
816-235-5655
Every Day Is Mathematical
What’s special about March 14th?
Pi Day
Why?
When is the Pi minute?
3/14 at 1:59
Why?
Think about Pi Day in 2015
3/14/15 at 9:26:53
Every Day Is Mathematical
When is metric day?
October 10th
Why?
What’s special about June 28th?
Double Pi Day
Every Day Is Mathematical
Let’s think about factors. What are all the factors of
6?
1 2 3 6
1 + 2 + 3 = 6
When this happens, what is it called?
A perfect number - one in which the sum of
the proper factors add up to the number itself.
What’s the second perfect number?
28
Every Day Is Mathematical
So what can we say now about June 28th?
Double perfect day
Double pi day
Every Day Is Mathematical
How to name the days
Every Day Is Mathematical
What could we call days where all 3 elements
are the same?
I call them “repeaters”
Babies conceived this past week have a good
chance of being born on 11/11/11
Every Day Is Mathematical
In determining the “mathematicalness” of a day,
you can consider
* the day only
(February 25th is a perfectly square day)
* The month and day
(February 22nd is a multiple day)
* The month, day, and year
(February 19th is a triply prime day)
Every Day Is Mathematical
It’s your turn.
See how many mathematical connections
you can find for the days in the next
month.
You have 5 minutes.
Every Day Is Mathematical
Things to consider:
Repeaters
Consecutive numbers – Aug 10th
Aug 10th at 12:13 pm
Odd or even days
Doubly odd or doubly even
Totally odd (this year)
Every Day Is Mathematical
More things to consider:
Multiples of the month
February 22
March 6
April 12
Perfect squares
1, 4, 9 16, 25
Every Day Is Mathematical
More things to consider
Perfect cubes
1, 8, 27
Powers
February 8th
Remember that 1 is a power of all #s
Every Day Is Mathematical
Primes
Relatively prime
February 15
Arithmetic facts
February 9
2 + 9 = 11
May 2, 2010
5 x 2 = 10
Every Day Is Mathematical
Remainders
3/2/11
because when you divide the year, 11, by the
month, 3, you get a remainder of 2 (the day)
Every Day Is Mathematical
Figurate numbers:
Triangular numbers:
1, 3, 6, 10, 15, 21
Pentagonal numbers:
1, 5, 12, 22
Hexagonal numbers:
1, 6, 15, 28
Every Day Is Mathematical
Octagonal
1, 8, 21
Fibonacci
1, 2, 3, 5, 8, 13, 21
Perfect
6, 28
Every Day Is Mathematical
What are deficient numbers?
Numbers with the property that the sum of
their proper factors is less than the number
itself.
Example: 14
1 + 2 + 7 < 14
1, 2, 3, 4, 5, 7, 8, 9, 10, 1, 13, 14, 15, 16, 17,
19, 21, 22, 23, 25, 26, 27, 29, 31
Every Day Is Mathematical
What are the opposite of deficient numbers?
Abundant numbers
Numbers with the property that the sum of the
proper factors is greater than the number
itself.
1 + 2 + 3 + 4 + 6 > 12
12, 18, 20, 24, 30
Every Day Is Mathematical
Binary
Numbers containing only 1s and 0s.
November 1, 10, and 11
Every Day Is Mathematical
How can you use this?
Opening of class
Top of worksheets and tests
Sign outside of room
Interactive Bulletin Board
Make connections
Differentiate
Gifted students
When is the next ______?
How many this year?
Every Day Is Mathematical
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Thank you.