Post on 08-Jan-2018
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Every Day Is Mathematical
What’s special about March 14th?Pi DayWhy?
When is the Pi minute?3/14 at 1:59Why?
Think about Pi Day in 20153/14/15 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 MathematicalLet’s think about factors. What are all the factors of
6?1 2 3 61 + 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
connectionsyou can find for the days in the nextmonth.
You have 5 minutes.
Every Day Is Mathematical
Things to consider:RepeatersConsecutive numbers – Aug 10th
Aug 10th at 12:13 pmOdd or even days
Doubly odd or doubly evenTotally odd (this year)
Every Day Is Mathematical
More things to consider:Multiples of the month
February 22March 6April 12
Perfect squares1, 4, 9 16, 25
Every Day Is Mathematical
More things to considerPerfect cubes
1, 8, 27Powers
February 8th
Remember that 1 is a power of all #s
Every Day Is Mathematical
PrimesRelatively prime
February 15Arithmetic facts
February 92 + 9 = 11
May 2, 20105 x 2 = 10
Every Day Is Mathematical
Remainders3/2/11
because when you divide the year, 11, by themonth, 3, you get a remainder of 2 (the day)
Every Day Is Mathematical
Figurate numbers:Triangular numbers:
1, 3, 6, 10, 15, 21Pentagonal numbers:
1, 5, 12, 22Hexagonal numbers:
1, 6, 15, 28
Every Day Is Mathematical
Octagonal1, 8, 21
Fibonacci1, 2, 3, 5, 8, 13, 21
Perfect 6, 28
Every Day Is Mathematical
What are deficient numbers?Numbers with the property that the sum oftheir proper factors is less than the numberitself.
Example: 141 + 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
BinaryNumbers containing only 1s and 0s.
November 1, 10, and 11
Every Day Is MathematicalHow can you use this?
Opening of classTop of worksheets and testsSign outside of roomInteractive Bulletin BoardMake connectionsDifferentiateGifted students
When is the next ______?How many this year?
Every Day Is Mathematical
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