Session 1, Part B:

In This Part: Eric the Sheep | Changing the Rules

 Problem B6 Eric gets more and more impatient. Explore how your rule changes if Eric sneaks past 3 sheep at a time. How about 4 sheep at a time? 10 sheep at a time?

 Problem B7 When someone tells you how many sheep there are in front of Eric and how many sheep at a time he can sneak past, describe how you could predict the answer.

 A formula for the exact answer is very difficult to find here. "Describe" does not mean you must find an exact rule.   Close Tip A formula for the exact answer is very difficult to find here. "Describe" does not mean you must find an exact rule.

 Problem B8 What if Eric sneaks past 2 sheep first, and then the shearer takes a sheep from the front of the line? Does this change your rule? If so, how?

 Problem B9 The farmer hires another sheep shearer. There is still one line, but the 1st and 2nd sheep in line get shorn at the same time, then Eric sneaks ahead. Explore what this does to your rule.

 Problem B10 There are several ways to represent a problem situation: as a written rule, in words or symbols, as a graph, as an equation, or as a table. What representation (or representations) did you use for Eric's problem? Why did you choose those representations? Note 5

 Problem B11 What reasoning skills did you use in the problems in Part B?