Math 497 Day 2 (October 1, 2008)

Work in class:

Feedback from Homework: Debrief on progress in giving reasons for discoveries.

 

Next, you will be given two pages comprising Session 3. 

á          Work on the train problems (some may look familiar) and keep trying for good reasons for the answers you believe are true.

á          Then move on to work on ice cream and the official definitions of some math symbols: nPr. Answer questions using this idea.

 

After the break, you will be given two pages comprising Session 4. 

á          Fill in the table.  Then work on the train problems and try to make the connections.

á          Continue working on problems.

 

Some discussion and debriefing again and then we adjourn.

HOMEWORK #2 (due next class)

 

Answer these questions; show your reasoning and problem-solving ideas as clearly as you can.

 

Part A.  Do your best to answer one or two of these questions clearly and completely. 

1.       How many trains of length n are there?  Why?

2.       How many trains of length n are there that use only rods of length 1 or 2?  Why?

3.       How many trains of length n are there that use exactly one rod?  Two rods? Three rods?  Why?

Part B. 

1.       Write up what you consider one of your best answers from Problems 43-52.

2.       Write up one or two of the Tough Stuff problems from Sessions 1, 2, 3 or 4.