Datasets:
NationalTutoringObservatory
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MathEd-PII

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student
(4,0) and (-4,0)
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volunteer
thats right.
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volunteer
those are the two points. What are the values of x for those two points? thats what they are actually asking.
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volunteer
For the point (4,0), what is the value of x?
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student
4
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volunteer
yes, and for the point (-4,0), what is the value of x?
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student
-4
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volunteer
right.
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volunteer
so those are the answers for b
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volunteer
for c, they are asking for the intervals of x where g(x) <0. In other words, for what values of x is the curve below the x axis?
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volunteer
Hello?
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student
(-4,-5) and (4,-3)
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volunteer
what is the first x value you have circled?
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student
(-4,-5)
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student
-4
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volunteer
that point with the arrow has an x value of -5
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volunteer
what is the x value for that point?
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student
-4
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volunteer
right, so tht interval is written (-5,-4). It always goes from left to right.
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volunteer
how do you think you would write the second interval?
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student
(-3,4)
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volunteer
what is the x value at the point with the arrow?
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student
4
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volunteer
and what is the x value for the point where the arrow is now?
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student
5
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volunteer
right, so what I have written is the x interval for which g(x) <0
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volunteer
since the dots are closed circles at x=-5 and x =5, perhaps better to use brackets for those numbers
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student
ok
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volunteer
Ok, have a good rest of the rest of the day.
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volunteer
did you have a question about this answer?
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volunteer
Hello?
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volunteer
Sorry, but I need to go.
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volunteer
bye
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volunteer
Hi. How are you?
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student
hi. I'm doing good. how about you?
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volunteer
Good. How can I help you?
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student
I need help with a homework assignment
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volunteer
Ok
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student
can I have a couple minutes to get it onto the board?
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volunteer
Sure thing
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volunteer
Start with 19?
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volunteer
Do you have any ideas on 19?
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student
so for questions 19-22 I answered in the format "One angle is blank and the other is blank."
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student
I just wanted to make sure that that was the correct format
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volunteer
Sure. Did you solve for the angles?
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student
yes
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volunteer
Ok. What did you get on 19?
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student
"One angle 30 degrees and the other is 60 degrees."
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volunteer
Right. Good job.
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student
on 20 does it matter in what order I list the measures
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volunteer
I wouldn't think so, but I don't know for sure. Mathematically it shouldn't matter.
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student
ok
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volunteer
What did you get on 20?
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student
"One angle 45 degrees and the other is 45 degrees."
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volunteer
Very good.
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student
I was pretty sure that that was the format for answering 20-21 but I just was unsure if that was the format for 21-22
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volunteer
The directions say two answers for each problem. Again, it shouldn't matter as to the order. Mathematically anyway.
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student
so as long as I have the 2 measures it doesn't matter how I phrase my answer?
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volunteer
I assume you are inputting answers to a computer of some sort. I can't guarantee what that software does. But, in my opinion, you are to provide 2 answers and order shouldn't matter.
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student
I'm writing it down
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student
so it doesn't matter how I phrase my answer as long as I have the 2 measures
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student
right
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volunteer
What are your answers for 21?
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volunteer
I agree
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student
"One angle is 81 degrees and the other is 9 degrees."
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volunteer
Right
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volunteer
Input 9 degrees first, then 81 degrees
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student
so if I already wrote down my answer I should rewrite it?
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volunteer
No. Order shouldn't matter.
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student
ok
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student
so that answer is good?
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volunteer
In my opinion. I can't know what the system you are using will do. Mathematically, it doesn't matter what order the angles are. You have answered the question correctly, in my opinion.
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student
ok
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student
and does the way I phrased it make sense?
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volunteer
Very much so!
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volunteer
What are your answers for 22?
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student
"One angle is 72 degrees and the other is 18 degrees."
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volunteer
Correct.
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student
so am I good to move on from 19-22?
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volunteer
Yes
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student
ok
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student
Write and solve an algebraic equation to find the measure of each angle based on the given description.
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student
The measure of an angle is 6 degrees less than the measure of its complement.
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student
I need help with that one
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volunteer
Ok
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volunteer
Let's let x be the measure of the angle we are finding.
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volunteer
What would be an expression for the complement of the angle x
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volunteer
?
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student
+x=90?
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volunteer
The complement would be (90-x)
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student
ok
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volunteer
So. Consider this
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volunteer
x + 6 = 90 - x
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volunteer
If the angle x is 6 degrees less than it's complement, we simply add 6 degrees to the angle to make it equal to it's complement]
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volunteer
Do you see why that is the equation we need?
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student
so the equation would be "x+6=90-x"?
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volunteer
Give me a minute
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student
ok
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volunteer
Yes
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volunteer
Do you understand the logic of it?
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