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Learning Math Home
Patterns, Functions, and Algebra
 
Session 1 Part A Part B Part C Homework
 
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Algebra Site Map
Session 1 Materials:
Notes
Solutions
Video

Session 1, Part B:
Reasoning About Situations

In This Part: Eric the Sheep | Changing the Rules

Problem B6

Solution  

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

Solution  

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.


Stop!  Do the above problem before you proceed.  Use the tip text to help you solve the problem if you get stuck.
A formula for the exact answer is very difficult to find here. "Describe" does not mean you must find an exact rule.   Close Tip

Take it Further

Problem B8

Solution    

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

Solution  

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

write Reflect  

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

Solution  

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


Next > Part C: Qualitative Graphs

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