WEBVTT

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[Music]

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Corigliano: Well, yesterday,
we had an opportunity

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to do some work for a
gentleman named Frank

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and his fresh farm produce.

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Tell me a few things
about what you needed

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to find out about Frank.

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Student 1: We needed to
find out if he could make it

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to two houses and back to
the store without filling

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up his gas tank
before leaving.

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Student 2: He has 5/8
of a tank left of gas.

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Student 3: He usually
goes to one place

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and then back to his place.

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But he found a road that will
let him go to one place then

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to the other place
and then back.

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And he has to find out
if he has enough gas

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to make the trip.

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Corigliano: Today, we're
going to see how you solved

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and labeled your problems.

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Well, I wanted to give
everybody an opportunity,

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or as many people as
possible, an opportunity

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to share their thinking.

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Let's see if you can share
your thinking with us

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about how you came up with
a solution to this problem.

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Student 4: At first, he went
from his farm to Stan's farm

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and back, and it
was 250 miles.

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And then he went to
Louisa's farm and back,

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and it was 200 miles.

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And we added those together
and we got 450 miles and 9/12

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of the gas gauge was used.

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We think Frank should buy gas
before he starts his trip not

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taking the loop.

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It seems like we should
solve it both ways like first

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when he didn't realize
that he could use the loop.

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Student 5: After he realizes
that he can go from his farm

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to Stan's farm to Louisa's
farm and back to his

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without backtracking,
from his farm to Stan's,

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that would be 5/12
or 125 miles.

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And then from Stan's
farm to Louisa's farm,

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that would be 120 miles.

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And then from Louisa's
back to Frank's farm,

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that would be 100 miles.

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And we added those together
and we got 345 miles.

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So if he used the
loop he wouldn't have

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to fill up on gas.

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Student 6: This is a picture
of Frank's fuel gauge,

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and each twelfth
represents 50 miles.

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And he had 5/8 of
a tank of gas,

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which meant he couldn't
go more than 375 miles.

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And here, he used 450 miles,

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which was 75 miles
more than he could use.

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And then he used 345 miles,

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which is 30 miles less
than he could use.

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If Frank was to use the loop,
it would be more efficient

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and he would use less gas.

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Student 7: We used this
number line to figure out some

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of the mile distance
between the farms,

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like between Frank's
and Stan's.

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We knew that it
took 5/12 to get

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from Frank's to
Stan's and back.

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So we thought if
you halved 5/12,

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it would be the
amount he used for just

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from his place to Stan's.

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And half of 5/12 is 2.5/12,
and we thought that would be,

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like right here, it would be
2/12, so it would probably be

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around here, which
would be 125 miles.

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For Stan's to Louisa's, well,

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they already said
it was 120 miles.

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Corigliano: What's different

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about their strategies just
according to their poster?

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Wendy? Student 2: Well,
one of the differences

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that I noticed is that
Shayna's group, they did it

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without the loop, how much
he would have to have gas.

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And there, they didn't.

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Corigliano: Why do you
suppose they showed us the one

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without the loop?

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Student 8: Then they
would have been able

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to realize the difference
more.

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People would have been able
to see how the difference was.

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Corigliano: Why do you suppose
it was important to Frank

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to have this information?

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Student 4: His main reason
for trying to do this would be

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so in the future he knows
how much, maybe, gas it takes

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to do these trips,
to see maybe

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if he could add another
farm onto that or something.

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[Music]