For Monday 11.01.10

Write up your solution (even if it is a partial solution) to the sea-plane problem.  What you hand in to me must show effort and care.  It must be neat, thorough, and clear.  Whatever notation you decide to use – drawings, labels, equations, etc – should be self-explanatory.  You must account for each plane’s distance and fuel at every step.  Use the notes we took in class to help you.

• Spend 15 minutes working on the fraction problem:

Use the digits 1-9 to create a fraction that is equivalent to 1/3

• Bring in a folder to the next class that can become your math seminar folder – half of it should be filled with 20-30 sheets of graph paper.

Airplane Data

Collect time and distance data for two planes.  (Due in two weeks)

This will be our last class.  You must be sure to have your data ready – there are no second chances for this and I don’t want anyone to miss it!

Solve the fire station problem in the Taxicab Geometry packet.  Your answer should be thorough and complete.  Be prepared to compare/share your solution with a classmate and present your solutions to the rest of the group.

• Use this game of life applet to alter the rules to life! Make changes to the original rules and write about the effect it has. For each situation, include answers to: a) What happens? b) Why?

• Include at least 2 screenshots with each problem.  Take one screenshot at the very beginning of your new system and another one after about 50 generations. ** Remember when you change the rules you can’t have “die” and “born” clicked at the same time! **

1. Make a system that is less “active” than the traditional system.
2. Make a system that is more “crowded” than the traditional system.
3. Make a system that is more “active” than the traditional system.
4. Challenge:  Can you create a system that continues to change and create unique patterns the way the traditional system does?

• View other cellular automata here