Every Day Is Mathematical

Rita Barger, Ph.D.bargerr@umkc.edu

816-235-5655

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 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

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)

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More things to consider:Multiples of the month

February 22March 6April 12

Perfect squares1, 4, 9 16, 25

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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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