Day 06:
Heart of Mathematics
Last Time
Next Time
Announcements:
Return of your first homework assignment graded by Monday
New assignment:
Mon
1/25
Intro to Fibonacci Numbers
Study up and try Fibonacci Nim
Problems to hand in: pp. 57--, #1, 2, 7, 8; 18-21; 28 (due Mon, 2/1)
Remember: your Estimation Assignment is due Wednesday, 1/27.
If you brought your Fibonacci item, bring it forward, and mark it with your name on the post-it.
Today:
Last thoughts: Estimation
The importance of units, and unit transformations
By the way, what is "the pigeonhole principle"?
Have you ever played a game, perhaps at a birthday party as a young child, that relies on the pigeonhole principle?
When have you ever used it?
Return of homework: fun and games, results.
Read carefully, starting with the assignment!
Typed
Choose two of four problems (and do not choose #8!)
Then read the problems carefully: don't introduce constraints on your own.
Crooked Politicians: Shayna
What if there were two honest politicians?
Is the problem
symmetric
? Don't honest and crooked play separate, different roles? Could they be interchanged? If so,
then
it's got to be 50/50....
Snake:
Read the rules carefully.... Must there be one box of money, and one box of snake?
Don't read your own rules into a problem....
What if both signs were false?
Spilled Beans: Robert
Follow the logical consequences where they lead....
Shaky Story
Sometimes simplifying a problem helps....
Fibonacci numbers
History
Definition
In nature
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Andy Long
. Comments appreciated.