Datasets:
NationalTutoringObservatory
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MathEd-PII

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8
volunteer
huh
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volunteer
do you have anymore questions?
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student
yea
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student
this
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volunteer
okayyy
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student
this
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volunteer
2 1/2 divided by 1/5?
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student
tea
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student
yea
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volunteer
okayy
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volunteer
so like I taught earlier, how do you convert this into an improper fraction?
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student
3
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student
5
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volunteer
yes
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volunteer
5 over what?
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volunteer
5/?
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student
because 2x2 is 5 and 1 is 5
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student
uhhhh
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student
5/1
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volunteer
noo
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student
I have to go
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volunteer
oh okay
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volunteer
bye Chloe
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[ { "pii_type": "PERSON", "surrogate": "Chloe", "start": 4, "end": 9 } ]
student
bye you are my faver
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volunteer
Hi Alex. Good morning, Alex.
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[ { "pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7 }, { "pii_type": "PERSON", "surrogate": "Alex", "start": 23, "end": 27 } ]
volunteer
How are you today
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student
Hi.
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volunteer
OK
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volunteer
Do you have any problem that
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volunteer
you need to help you today?
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student
I need help with degrees and leading coefficents
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volunteer
And you have
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volunteer
that you have problem with the degree and leadinguiwe or polynomial. Am I correct?
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student
Yes
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volunteer
OK. So wait a second, OK?
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student
I dont have a specifi problem so.
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volunteer
So here is the principle, OK. Uh, so you need to memorize only 4 situations, 1234. So the first one is like this, OK.
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volunteer
Um
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volunteer
so here
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volunteer
so this is the first one. So let's say, Y equal to X^22. Am I correct? Yes.
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volunteer
OK. So this one is 22 is actually even am I yes or no?
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volunteer
Yes, right. And here, so here, uh, so that's it. I put in 2 you say, but, OK, so this is what they call the leading coefficient, right? And this one is positive, it's not positive.
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volunteer
Can you follow me?
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student
yes
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volunteer
Right? It doesn't make any difference for the timing here, uh, the value of this one here, you can say that well, Y equal to 4 x 2 here, whatever here as long as it is positive.
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volunteer
that's good. OK. And then this one here is even, right? So we got even and positive. So whenever you have even and positive here, even the degree is even, positive is the coefficient
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volunteer
positive coefficient.
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volunteer
OK, and then even power, then the graph is gonna be the graph is gonna look like this.
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volunteer
You see
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volunteer
Yes. And again here, you can extend further say that well, why here equal to 4 and then X square here plus 2 X and then plus 4, let's say. So this one is the same thing here.
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volunteer
All you have to do is just go ahead focusing on this leading term here. So you do not have to worry about the 2nd and the 3rd 1. So all you have to do is just focusing on the leading term. So this is what we call the leading.
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volunteer
the leading term
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volunteer
Right, so the leading, leading term here has a power of even, right? And then the call is not positive, that it's gonna be, it's gonna be like this.
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volunteer
right, so let's say
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volunteer
let's say if you have, if you have Y equal to let's say 2 here and let's say act to the 4 songs, songs on here. Then here, then the graphics are more or less look like this.
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volunteer
Yes. So this is the first, this is the left, this is the left.
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volunteer
pale. This is the left pale.
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volunteer
and this one is the right tail.
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volunteer
But, so the right and the left tail are all pointing up, pointing up here to the same location pointing up.
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volunteer
Sounds good. OK.
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volunteer
I mean again here that, uh, so you can expand the example further here. So let's why he equal to let's say, uh, uh, 21, OK, 21 is an act to the 6 here. So so what here is going to be more or less going to be like this.
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volunteer
it might be possible there is a different here, but
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volunteer
generally the textbook is always, always asking only the left, the left.
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volunteer
the left pale and the right pale.
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volunteer
The left and right is again pointing up.
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volunteer
Yes, but now what happened here, if you have, if you have, let's say, why here equal to let's say 20
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volunteer
Well, so this time around here, so let's say, so this one is positive, am I correct? So I said this time around here, I'm going to put the negative, negative X square here. So in this case, so this one is even, but this one here is negative, am I correct? And again, I don't care about what is the number, but I care onl...
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[ { "pii_type": "PERSON", "surrogate": "Alex", "start": 397, "end": 401 } ]
volunteer
Can you follow me
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student
yes.
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volunteer
Am I talking too fast, Alex?
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[ { "pii_type": "PERSON", "surrogate": "Alex", "start": 23, "end": 27 } ]
student
no.
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volunteer
But
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volunteer
OK, so in this case, remember this is negative, so negative is gonna be is going to be like this year.
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volunteer
So this is the left, am I correct? And this is the right. OK.
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volunteer
Yes, so if it is negative, then can be down. So it's going to be pointing down, pointing down. Remember here I'm still talking about that the power is even. So likewise, you can say, why here equal to let's say minus 11 here, OK.
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volunteer
That's at 11/2. I don't care because I can only if it is negative or positive, and this one is negative. Yes, so we got a here so let's say, let's say the 4 here. So in this case, the graph is gonna be more or less gonna be like this.
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volunteer
Right, OK, so that is if this one is even now. So let's talk about the other way around that what happened here if this one is
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volunteer
odd, yes. So the good example is that once it's gonna be like, Y here equal to. So let's say 2 here this one is still positive, but here this is, this is like a cube. So cube is on, am I correct? And this one is even. So the graph is gonna look like this.
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volunteer
Yes, so instead of pointing up or pointing down together. So this time around here we got a situation in which that they are actually pointing to a different direction. So this one to the top. This is the right hand side, the right
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volunteer
the right pa and it's on his left, yes.
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volunteer
Yes, and this one is the Y exist and this is the X axis.
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volunteer
Yes, and again here, it is also happened this happened like this year. So when I why he equal to let's say, well, so we got 3, OK, that's it A here, that's a cube + 2 X + 1.
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volunteer
OK, so I don't care about the second one and the 3rd 1. OK. I can only about this one because this is what they call the leading term, yes, so you need to focus your attention only to the leading term. That's it.
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volunteer
That what the graph looks like, the graphs coming, it's gonna be, it's gonna be like this.
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volunteer
Right, OK, now, so let's talk about something else. So let's talk about what Taiwani if you have Y equal to let say minus 12 here and then act here so let's say cue? Yes, so this is negative and this one is
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volunteer
oh, am I right? And this is what they call the leading term, OK.
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volunteer
So in this case, what you're looking at is going to be instead of this is the first quarter, am I correct? And this is the 3rd quarter. Instead of first and quote quote on here, then you will be looking like this.
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volunteer
So this is the 2nd codon, and this is the 4th codon.
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volunteer
Sounds good, right
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volunteer
So
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volunteer
so this is the first cordon and this is the
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volunteer
3rd quarter, am I right? But here, whenever it is negative and then out here, so you're looking at, well, the, the 2nd quarter, I'm sorry, the 2nd quarter and the 4th quarter.
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volunteer
Yes. So in summary here, you can just go ahead, uh, write it down on your
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volunteer
note here, class note, something like this. OK.
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volunteer
OK. Can you write it down on your class note here because this is very important. This is a very, very good summary of the idea we just talked about.
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volunteer
OK, so here, so this one here is
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volunteer
so let's say,
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volunteer
this one is all about power.
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volunteer
I'm talking about leading power, leading power, am I right?
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volunteer
Yes. And here across here, I'm talking about the leading coalition.
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