Homework Review:
1. Pythagorean Triples
let's check out the website.
let's delve even deeper (co prime)
2. Konigsburg bridge problem:
Here is a picture of the bridges as they stood in 1736.
Goal of the Problem: You can start anywhere. Cross each bridge exactly once. Extra Points: End where you started.
OUR Goal: Define a Process by which to solve this problem.
Start Small: What Systems Work For Us?
Evolve: What patterns are occuring as we try things?
Adapt: How can we quantify more?
Solve: Define what a solution looks like, and how we can best adapt.
3. Brings us to Glastonbury Mountain Question
How does this question build into the last one?
Here is some more information about this problem (don't cheat as we are working!)
OUR Goal: Watch as the website defines and builds a problem for us.
4. Four Color Theorem
Another cool problem, this time dealing with maps.
As a mapmaker, you want each country to be dependent in color from the neighbors.
Make a map that requires:
Two Colors
Three Colors
Four Colors
Five Colors
OUR GOAL:
Notice again, the build-up of the problem. Objects and trials are reused.