1.1 Eric the Sheep revised MATH 2203

1.1 Eric the Sheep revised MATH 2203 - the answer for any...

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Eric the Sheep It‛s a hot summer day, and Eric the Sheep is at the end of a line of sheep waiting to be shorn. There are 50 sheep in front of him. Being an impatient sort of sheep, every time the shearer takes a sheep from the front of the line to be shorn, Eric sneaks up two places in line. 1. Predict how many sheep will get shorn before Eric. 2. One way to solve a complicated problem is to solve a smaller problem. In this case, it might be one with a shorter line. Notice any patterns. Make a table that shows the number of sheep in front of Eric and the number of sheep shorn before Eric. 3. Use the table to predict how many sheep will get shorn before Eric if there are 50 sheep in line in front of him. 4. Describe the strategies you used to find the answer for #3 and how you could predict
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Unformatted text preview: the answer for any number of sheep in the line. 5. Is your method algebraic? Why or why not? 6. Work out the solutions for the blanks in the given table. 7. If Eric becomes more impatient and sneaks past 3 sheep at a time, explain how your rule will change. What will happen if Eric passes 4 sheep at a time? 10 sheep at a time? 8. If you know the number of sheep in front of Eric and the number of sheep he passes, describe how you could predict the answer. 9. There are many ways to represent a problem situation: Words Symbols Pictures Equation Graph Table Which representation(s) did you use? Why did you choose that representation(s)? Number of sheep in front of Eric Number of sheep shorn before Eric 37 296 1,000 7,695 13 21...
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