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MathEd-PII

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student
its confusing
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student
mr David
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[ { "pii_type": "PERSON", "surrogate": "David", "start": 3, "end": 8 } ]
volunteer
Uh, hi Maria
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[ { "pii_type": "PERSON", "surrogate": "Maria", "start": 7, "end": 12 } ]
volunteer
I just want to explain this to you, uh
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volunteer
uh very shortly.
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volunteer
to the area of uh parallelogram is found.
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volunteer
by multiplying that
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volunteer
base at the height. So the diagram I've drawn on the right.
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volunteer
uh you can use the height. So we'll multiply 3 times 2.
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volunteer
and
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volunteer
and
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volunteer
and you get 6.
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volunteer
So if you sick
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volunteer
6 square centimeters.
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volunteer
I hope you have understood that.
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student
can you say it again please
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student
i was puting headphones on
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volunteer
ok
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volunteer
OK, so, uh, I've drawn, uh, a diagram on the whiteboard.
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volunteer
and it shows a parallelogram.
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volunteer
So to find the area of
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volunteer
uh the parallelogram.
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volunteer
we are going to multiply the base.
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volunteer
by its height.
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volunteer
So when you look at our para parallelogram on the board.
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volunteer
the base is 3 and the height is 2.
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volunteer
So we multiply 3 by 2.
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volunteer
and you get 6 square centimeters. So that is our area
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student
ok
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volunteer
So the height can sometimes be, be given on this other end, like,
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volunteer
uh, we have 2 here.
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volunteer
So this land is the same as as at length.
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volunteer
this land. So it's still the same. We are going to use 3 and 2. So you must
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volunteer
the height and that will give you the area. I think, uh, you've understood it well
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student
ok
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student
thanks can i try
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volunteer
maybe you can draw one and we navigate that together
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volunteer
Hi, how can I help?
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student
Hii, So I have a test For AP Calc and I need help going over the review question
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volunteer
Sounds good. I can help with that. Could you put the question on the board?
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student
I meant question(S)
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student
But I'll put up the first one here
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volunteer
Good idea
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volunteer
Do you know how to approach these?
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volunteer
Or this one in particular?
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student
To be honest I am completely clueless about how to solve these
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volunteer
We all start somewhere, that's fine. Do you know how to differentiate a polynomial, like -6x^2+4x-8?
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student
yes
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volunteer
Do you know how to use chain rule?
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student
no
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volunteer
Then let's go over that first
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student
alright
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volunteer
Do you know the formula for chain rule?
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student
I don't memeorize it but i do get the idea of it
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student
like when to use
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volunteer
For your test, and the Math Fundamentals Final exam, it will be a good idea to memorize it. You can use it whenever you see something that you could express in the form of f(g(x)), a function composition.
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[ { "pii_type": "COURSE", "surrogate": "Math Fundamentals Final", "start": 23, "end": 46 } ]
volunteer
For the function in the problem, can you identify the outer and inner functions?
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student
yes
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volunteer
Let's start there
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student
would it look like something like this
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volunteer
You're really close
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volunteer
The -12x and the 4 are correct, but multiplying them isn't really right
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volunteer
Also, I think you missed the 5 in the front
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volunteer
Oh wait never mind
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volunteer
That part is good
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volunteer
I just didn't realize you canceled them already
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student
yeah
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volunteer
But the (-12x)(4) is still not quite right
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volunteer
How could we fix it?
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student
do i times them to each other?
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volunteer
That's what you have here
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volunteer
There's one formula that will help: the derivative of f(x)+g(x) is f'(x)+g'(x)
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volunteer
Can you identify f and g in the case of -6x^2+4x?
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volunteer
I might have confused you a bit with using the same variables for both
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volunteer
Those are the outer and inner functions
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volunteer
I'll explain with a and b so as not to confuse you
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volunteer
The derivative of a(x)+b(x) is a'(x)+b'(x)
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volunteer
Can you identify a and b in -6x^2+4x-8?
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student
ohh okay
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volunteer
Perfect!
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student
so then i add them
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volunteer
Yes
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volunteer
That is right
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student
ao it would be -8x
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volunteer
Not quite
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volunteer
-12x+4 is just -12x+4, you can't combine like terms because 4 doesn't have an x in it
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volunteer
-12x+4x would be -8x
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volunteer
-12x+4 is just -12x+4
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student
okay okay yeah that's true
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student
ok so let me simplify it
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volunteer
Don't simplify at all, now or on the Geometry Midterm
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[ { "pii_type": "COURSE", "surrogate": "Geometry Midterm", "start": 37, "end": 53 } ]
student
ohh so it's just this then?
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volunteer
Yes but with one fix
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volunteer
I'll show you
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volunteer
Otherwise it looks like you're adding the 4 on afterwards
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volunteer
Another way to do it would have been to skip one set of parentheses in the first place (I'll color them red)
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volunteer
Or I guess orange
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volunteer
But on the Algebra Quiz, don't simplify either numbers or expressions unless it's an MCQ and your answer isn't one of the ones listed
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[ { "pii_type": "COURSE", "surrogate": "Algebra Quiz", "start": 11, "end": 23 } ]
volunteer
*multiple choice question
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student
alright
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