Part One: Tackle the homework problems. Try to get ourselves to a meaningful answer on most of them.
Part Two: Konigsburg bridge problem
what does it mean to be sure of something?
how can we sum things up in a way that allows us to make it useful
four color theorem
Part Three: Pascal's Triangle
Different Patterns found therein
Binomial Distribution (x+y)^n
Plinko
Flipping a coin
OUTCOMES may overlap, but the PATTERNS are unique
odds
Homework:
Your homework this week has one question. This means I want you to think them through very carefully and come up with some good stuff here.
In class we saw a map that requires just one color, one needing two colors and right at the end one that requires three. Your job is to analyze and find a map that requires four colors and a different one that requires five colors. If you cannot find a map that meets the specific requirement, you must work towards building reasoning that will allow you to say "I am pretty confident there is no answer to this part and here's why:" and then fill in the why completely and well.