every day is mathematical
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Every Day Is Mathematical. Rita Barger, Ph.D. [email protected] 816-235-5655. Every Day Is Mathematical. What’s special about March 14 th ? 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. - PowerPoint PPT PresentationTRANSCRIPT
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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
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Every Day Is Mathematical
When is metric day?October 10th
Why?What’s special about June 28th?
Double Pi Day
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Every Day Is Mathematical
Let’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
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Every Day Is Mathematical
So what can we say now about June 28th?
Double perfect day
Double pi day
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Every Day Is Mathematical
How to name the days
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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
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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)
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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.
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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)
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Every Day Is Mathematical
More things to consider:Multiples of the month
February 22March 6April 12
Perfect squares1, 4, 9 16, 25
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Every Day Is Mathematical
More things to considerPerfect cubes
1, 8, 27Powers
February 8th
Remember that 1 is a power of all #s
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Every Day Is Mathematical
PrimesRelatively prime
February 15Arithmetic facts
February 92 + 9 = 11
May 2, 20105 x 2 = 10
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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)
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Every Day Is Mathematical
Figurate numbers:Triangular numbers:
1, 3, 6, 10, 15, 21Pentagonal numbers:
1, 5, 12, 22Hexagonal numbers:
1, 6, 15, 28
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Every Day Is Mathematical
Octagonal1, 8, 21
Fibonacci1, 2, 3, 5, 8, 13, 21
Perfect 6, 28
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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
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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
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Every Day Is Mathematical
BinaryNumbers containing only 1s and 0s.
November 1, 10, and 11
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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?
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Every Day Is Mathematical
Email I received
Thank you.