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NationalTutoringObservatory
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MathEd-PII

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8
student
OK.
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volunteer
basically, if you have like a number,
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volunteer
the number is equal to that number over 1. Wait, let me just show you an example.
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volunteer
So like if you have 5,
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volunteer
5 would be equal to 5/1. Like it's like the same thing. Does that make sense?
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student
Yeah
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volunteer
Yeah, so basically I have one here. So one would be the same as 1/1.
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volunteer
And then if you're multiplying a fraction first to multiply the numerator and then you multiply the denominator. So what would 1 times 1 be?
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student
Uh, one
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volunteer
Yeah, and then what would 3 times 1 be?
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student
3
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volunteer
Yeah, so basically 1/3 times 1 is just 1/3.
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student
OK
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volunteer
Yeah.
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volunteer
OK. Um, so then our next point would be
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volunteer
um
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volunteer
11/3.
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student
Oh, let me write that down.
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volunteer
OK, yeah
11,999
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student
All right
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volunteer
OK
11,999
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volunteer
OK, great. So now we can choose
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volunteer
um
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volunteer
one more point. Wait, first let me graph11/3.
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volunteer
It'd be like over there
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volunteer
Um
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student
So it's in between
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volunteer
huh
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student
It's in between the graph, like in between
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student
days.
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volunteer
Yeah, um, basically, um
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volunteer
each like
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volunteer
we're graphing it so that each unit on the graph is one. So basically, this would be 0 and then this is 1, and then 2
11,999
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volunteer
3
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volunteer
456. So since 1/3 is like between 0 and 1. it's gonna be like between
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volunteer
like this, um, between both of those points. Does that make sense?
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student
Yeah
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volunteer
OK.
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volunteer
OK, so
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student
Sorry
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volunteer
um, OK, now let's choose a new point. So
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volunteer
let's do
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volunteer
um 2
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volunteer
something
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volunteer
OK.
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volunteer
So,
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volunteer
um,
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volunteer
now X is gonna be 2. So if X is 2, what would Y be?
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student
Um
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student
uh
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student
is it the same thing, same thing like uh last time.
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student
I was gonna.
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volunteer
Oh yeah, it's always just like.
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volunteer
Yeah, what were you saying
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student
uh, I was gonna like say 4.
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student
because I'm too squared is 4, and then
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student
I think you, you said multiply it.
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student
by
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student
1/3
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volunteer
No
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student
That I might be wrong cause I'm not sure.
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volunteer
Yeah, you're right. Um, it's like
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volunteer
Yeah, it's um 2 squared, it's gonna be 4, and then since this time you're multiplying it by 1/3 instead of 3, so you do 4 times 1/3, and then you get the answer. So
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volunteer
um, what do you think 1/3 times 4 is.
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student
43
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volunteer
Yeah, that's right
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volunteer
Mm
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student
Oh, OK. OK.
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volunteer
It's just like one times 4 is 4 and then 3 times 1 is 3, so.
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student
OK, OK.
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volunteer
yeah, so you would have to
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volunteer
karma for 3 and 4/3 is like
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volunteer
an improper fraction, so it would be the same as 1 and 1/3.
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volunteer
So you'd have 21 and 1/3. Does that make sense?
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student
Yeah
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volunteer
OK
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student
Let me write that one down to.
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volunteer
OK, yeah
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student
And then wait
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student
Oh never mind
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volunteer
OK
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volunteer
Um
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volunteer
OK, so now you have 2 and 1 and 1/3. Do you have any questions, by the way?
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student
Mm
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student
we are he's just like, OK, so the other, the one that
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student
can I like circle your
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volunteer
Yeah, you can
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student
eye
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student
I don't wanna mess up your um
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volunteer
It's OK.
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student
I don't wanna miss anything out though. OK, let me try
11,999
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volunteer
It's OK
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student
I I
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volunteer
We can just like fix it later.
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student
uh, you put this into like
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student
oops
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student
OK, so the one that I circle, you just add it to the end, the answer that we just did.
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volunteer
Um, no, wait, so, basically we have 1 1/3, which is
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volunteer
this point that I graph. Do you see that?
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student
Yeah
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