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NationalTutoringObservatory
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MathEd-PII

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volunteer
I mean, we can take that um
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volunteer
that example 11
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volunteer
right? That solution has -5 log.
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volunteer
means natural log
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volunteer
X minus 2
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volunteer
+ 10
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volunteer
natural log
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volunteer
X minus 3.
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volunteer
right, and rewrite them as
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volunteer
um natural log. I'll skip a couple steps.
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volunteer
X minus 3 to 10th.
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volunteer
over X minus 2.
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volunteer
5th
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volunteer
right? And they're the same thing
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volunteer
It's just kind of what's easier to look at.
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volunteer
Just coefficients and expressions and natural log expressions or like a natural log of a
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volunteer
bunch of exponents
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volunteer
Anyway, that was just kind of my mental tangent. I was thinking about this earlier. Oh no, the chat, your network.
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student
i get it what you were saying. we cando like that
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volunteer
I mean, it's
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volunteer
I mean, I mean the same thing. I think they just like to use this form.
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volunteer
Um
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volunteer
anyway, um, if we go back to, we're saying uh what I was expressing is that
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volunteer
what happened to the board
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volunteer
OK
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volunteer
That scared me
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volunteer
All right
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volunteer
So the
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volunteer
first form
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volunteer
will give us two natural logs.
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volunteer
The second form will give us a natural log
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student
i get what you were saying. it is property of log
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volunteer
and a um
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volunteer
yeah.
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volunteer
So I was, I was just trying to figure out their mentality on why they
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volunteer
didn't combine them.
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volunteer
um, or if you could even combine them.
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student
im sorry, can we wrap for today cuz my network seem to leave soon?
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volunteer
Reason being there isn't an exercise problem.
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volunteer
Oh, OK
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volunteer
That's fine. Um, Chris, have a good day.
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[ { "pii_type": "PERSON", "surrogate": "Chris", "start": 17, "end": 22 } ]
volunteer
Bye
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student
have a good day
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student
bye
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volunteer
ready
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student
hi
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volunteer
Hi Emily! How are you?
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[ { "pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8 } ]
student
I'm good and you
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volunteer
I'm good as well :) How can I help you today?
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student
I need help with homework
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volunteer
Okay! Is the screenshot your first question?
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student
yes
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volunteer
Okay! Do you have an idea where to start?
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student
part A
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volunteer
Do you have an idea how to start solving part A?
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student
we read the scenario
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student
to see what graph it would be
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volunteer
Exactly! What information do we get from reading the scenario?
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student
I need help
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volunteer
What is the ship doing during the first hour? And how close is it to shore?
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student
stop
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volunteer
Exactly! Is the ship stopped at shore or away from shore?
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student
away
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volunteer
excellent!
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volunteer
So, we're looking at graphs of distance to shore vs time.
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volunteer
During the first hour, the ship is not moving at all. Thus, its distance to shore is not changing. So what kind of line should we see on the graph over the first stretch of time?
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volunteer
Remember, the line represents the distance from shore during that time, which is not changing
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student
constant line
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volunteer
Very good! So, we can eliminate any possible answers that don't start their graph with a constant line
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student
yes
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volunteer
Then, the captain starts heading back to shore and docks at shore for a while
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volunteer
When the ship is at shore, what is the distance to shore?
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student
decrease
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volunteer
That's right! The line should decrease. Should it decrease all the way to zero?
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student
yes
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volunteer
very good!
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volunteer
Which option starts with a constant line, decreases, and reaches 0?
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student
the last option
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volunteer
yes :)
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volunteer
Any questions on part a?
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student
no
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volunteer
Awesome! Let's look at part b next. Here we're graphing speed vs time.
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volunteer
So Emily begins her jogging workout by running faster and faster for about a minute. So for the first stretch of time on the graph, what should be happening to Emily's speed? What kind of line should we see?
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[ { "pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8 }, { "pii_type": "PERSON", "surrogate": "Emily", "start": 160, "end": 165 } ]
student
decrease
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volunteer
If Sarah is getting faster and faster at first, is her speed increasing or decreasing?
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student
increase
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volunteer
exactly! Then should the graph of her speed vs time increase or decrease at first?
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student
increase
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volunteer
yes!
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volunteer
Then, which options can we eliminate, knowing that?
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volunteer
very good!
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volunteer
So after Emily gets faster for a minute, she jogs a constant pace for several minutes
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[ { "pii_type": "PERSON", "surrogate": "Emily", "start": 9, "end": 14 } ]
volunteer
If Emily's pace is constant next, is her speed changing?
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[ { "pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8 } ]
student
no
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volunteer
exactly! What kind of line would we expect to see on her graph then?
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volunteer
The graph shows how her speed changes over time and her speed is not changing
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student
yes
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volunteer
On a speed vs time graph, what kind of line indicates that speed is staying the same over time?
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student
constant
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volunteer
exactly! So we should see a constant line next
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