Every Day Is Mathematical Rita Barger, Ph.D

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 /14/15 at 9:26:53

Every Day Is Mathematical When is metric day? October 10 th Why? What’s special about June 28 th ? Double Pi Day

Every Day Is Mathematical Let’s think about factors. What are all the factors of 6? = 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 28 th ? 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 25 th is a perfectly square day) *The month and day (February 22 nd is a multiple day) *The month, day, and year (February 19 th 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 10 th Aug 10 th 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 8 th Remember that 1 is a power of all #s

Every Day Is Mathematical Primes Relatively prime February 15 Arithmetic facts February = 11 May 2, 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, 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 > 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 I received Thank you.