Rodney Rabbit
It’s the day before Easter and all of the rabbits are standing in line to
get a new bowtie. Rodney is at the end of the line. But Rodney is an
impatient rabbit and every time the person who ties the bow takes a
rabbit from the front of the line, Rodney sneaks up in the line.
1. If Rodney sneaks up 2 places each time the person takes a rabbit
to get a bowtie, can you find a pattern that will let you predict
how many rabbits get a bowtie before Rodney? Investigate with
different numbers of rabbits to find a pattern.
2. Use you method to fill in the chart below:
Number of
rabbits in
front of
Rodney
Number of
rabbits that
get a bowtie
before
Rodney
20
37
61
100
296
1000
Rodney the Rabbit
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3. Explain your strategy for determining how many rabbits get their
bowties before Rodney.
4. Rodney gets more and more impatient.
a. Explore how your rule changes if Rodney sneaks past 3
rabbits at a time.
b. How about 4 rabbits at a time?
c. 10 rabbits at a time?
5. When someone tells you how many rabbits there are in front of
Rodney and how many rabbits at a time he can sneak past,
describe how you could predict the answer.
Rodney the Rabbit
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