A little piece of π
Steve Bergen (bergen@chapin.edu)
www.summercore.com/pi
Happy PI Day ... Wednesay, March 14th, 2007
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548
The Belt Around the Earth
This is a classic problem (mathmatical hall of fame) from the book series TC Mits and TC Wits. Tie an imaginary belt (perhaps with rope) around the equator of the earth. Let us assume it is 25,000 miles. Make this belt so tight so that you cannot fit even a pencil or a pin under it, let alone a finger. Now add 10 feet of rope to this belt, so that it is 25,000 miles plus 10 feet. Pretend that you can distribute the rope evenly around the earth so that it is uniformly "loose" around the entire earth. How loose will the new belt be? Would a dog be able to walk under it? Could I stick my fist under it? What about a finger or a pen or pin?
Vocabulary
- Circumference ...sample
- Diameter
- Greece ... location
- Intuition
- Irrational
- Logic
- Pythagoras ... picture ...
statue
- Perimeter
- Radius
- Ratio
- Rational
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My Sentence
- 3.1415926
- Mom I want a fancy antipasto on Sunday
- Notice that each word has the number of letters in it to make you think of 3.1415926
- Mom (3) I (1) want (4) a (1) fancy (5) antipasto (9) on (2) Sunday (6)
Useful links
- The basics ... click
- The first 10,000 digits of PI ... click
- The first 50,000 digits of PI ... click
- Celebrating PI Day next Wednesday ... click
- π Poster ... click
- Find your birthday in PI ... click
- π art ... click
- Animation on wikipedia ... click
- π songs ... click
- From the exploratorium ... click
- Colorful π Art ... click
- Search for a string of numbers in π ... click
Factoids
- It wasn't until 1706 that this notation, using the Greek letter seen in the above equation - often written Pi and pronounced like the English 'pie' - was introduced by William Jones
(source: http://mathforum.org/isaac/problems/pi1.html)
- π (rather than some other Greek letter like Alpha or Omega) was chosen as the letter to represent the number 3.141592... because the letter π in Greek, pronounced like our letter 'p', stands for 'perimeter'.
(source: http://mathforum.org/dr.math/faq/faq.pi.html)
- Here is the Greek alphabet ... click
- π Day is also Albert Einstein's birthday!
Lesson Plan
- Use string and find out that CIRC is about 3 times DIAM
- Use math and find out that it is more than 3
- Define PI and show the first 10,000 places
- Find your birthday in PI
- Contemplate the equator of the earth
My PI Poem (Steve Bergen)
Roses are Red, Violets are blue ...
3.141592
PI is a number that is mighty fine ...
653589
Practice this often until it sticks ...
79323846
Practice when you swim since there's nothing else to do ...
26433832
Let no one ignorant of geometry enter this door ...
79502884
Numbers rule the universe, Pythagoras made the decree ...
1971693
Listen up ... click
Now time for us to record!
Reference notes about the PI symbol and HTML ...
The code is ∏ for product ... & prod; (without the space)
or & and 8719; (without the space)
for lowercase pi (π or π) which looks better
& #960; or & pi; (without the space)
or for uppercase (Π or Π)
& #928; or & Pi; (without the space)
great reference page for HTML symbol codes is at
http://www.alanwood.net/demos/ent4_frame.html