Transcript The Centipede and The Bug

The
Centipede
&
The
Bug
Objective: Given the story and
condition of the centipede and the
bug, the student will be able to
explain the relationship between
distance, rate and time with 100%
accuracy.
One sunny day, Senn T. Pede and Meladie Bug
start out from the elm tree and move toward the rose
bush which is 45 feet away. Senn crawls at 5 feet per
minute and Ladie crawls at 3 feet per minute.
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1). Use the Diagram to show where Senn is
exactly 3 minutes after they start their
journey. Place the letter “S” at Senn’s
location.
2). Use the Diagram to show where Ladie is
exactly 3 minutes after they start their
journey. Place the letter “L” at Ladie’s
location.
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3). Complete the following table to show
how far Senn and Ladie are from the
elm tree for each time value.
Time, in minutes,
since the friends
leave the elm tree
Senn’s distance, in
feet, from the elm tree
Ladie’s distance, in
feet, from the elm tree
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4). Describe a pattern you see in Senn’s row of the table.
You may use words or mathematical symbols.
5). How far will Senn be from the elm tree after 7 minutes?
6). How long will it take Senn to crawl 40 feet?
7). Describe a pattern you see in Ladie’s row on the table
(from problem #3). You may use words or
mathematical symbols.
8. How far will Ladie be from the Rose Bush after 8
minutes?
9. How long will it take Ladie to crawl 36 feet?
10. After Senn reaches the rose bush, how long will he have
to wait for Ladie to arrive? Explain how you determined
your answer.
On another morning,
Senn and Ladie
decide to head to the
lake for a picnic. The
lake is much further
away than the rose
bush.
They will need to come up with a
much better way of finding how long
it will take them to reach their
destination without having to work
out the numbers on a lengthy table.
11. If Senn crawls for “m” minutes, and if “d” represents
the distance, in feet, that he has traveled in those “m”
minutes, write a rule that shows Senn the relationship
between “m” and “d” for his pace.
12. Use your rule from part (a) to determine how far Senn
can crawl in one hour.
13. How far does Senn Crawl between time m = 25 and m
= 26 minutes.
14. If Ladie crawls for “m” minutes, and if “d” represents
the distance, in feet, that he has traveled in those “m”
minutes, write a rule that shows Ladie the relationship
between “m” and “d” for her pace.
15. Use your rule from part (a) to determine how far Ladie
can crawl in one hour.
16. How far does Lady Crawl between time m = 32 and m
= 33 minutes.
17. How far does Ladie Crawl between time m = 32 and m
= 34 minutes.
18. If the lake is 540 feet from the elm tree, how long will it
take each critter to reach the lake? Show your work or
explain how you got your result.
Senn’s rule:
Ladie’s rule:
Senn and Ladie have a turtle friend, Archimedes, who
sometimes goes along on their adventures.
19. If Archimedes crawls for “m” minutes, and if “d”
represents the distance, in feet, that he has traveled in
those “m” minutes, the rule that shows the relationship
between “m” and “d” for his pace is d = 7.5 (m). Use
appropriate units to describe what the coefficient 7.5
tells you about Archimedes’ travels.
20. Explain what question the solution to the question
540 = 7.5 (m) would answer.
21. What question is answered by the solution to the
question d = (7.5)(540)?
Compare the critters’ progress
and answer the following:
• How can you tell which critter is fastest by the graph?
• Which critter is fastest?
• How long would it take each creature to reach a
distance 15 feet away?
• How long would it take each creature to reach a
distance 30 feet away?
• Approximately how long would it take each creature
to reach a distance 18 feet away?
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Distance
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in
Feet 14
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Time In Minutes
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