Datasets:
NationalTutoringObservatory
/
MathEd-PII

Dataset card Data Studio Files
xet
 Community
1
role
stringclasses
2 values
content
stringlengths
0
2.1k
session_id
int64
10
21.7k
sequence_id
int64
0
2.38k
annotations
listlengths
0
8
student
is this something we only do for a cube equation?
15,785
118
[]
volunteer
Not really, there's other ways into solving cube equations, but I only demonstrated one of the few
15,785
119
[]
student
so 3a and 4c become 9a and 16c
15,785
120
[]
volunteer
Yes
15,785
121
[]
student
what about 3a+4c
15,785
122
[]
volunteer
Good job at executing each problem with effort
15,785
123
[]
volunteer
3a and 4c will remain the same as they only act as a factor
15,785
124
[]
student
alright
15,785
125
[]
volunteer
Okay I hope I helped you effectively to understand and solve questions like these
15,785
126
[]
student
wait
15,785
127
[]
student
I cant think of a number multiplying to 16 and adding to 12
15,785
128
[]
volunteer
Are you trying to further simplify the fully factored expression?
15,785
129
[]
student
do we have to square it again?
15,785
130
[]
volunteer
No you don't have to
15,785
131
[]
student
oh wait
15,785
132
[]
volunteer
The final product should be: (3a + 4c)(9a^2 -12ac + 16c^2)
15,785
133
[]
student
now?
15,785
134
[]
volunteer
No it wouldn't work
15,785
135
[]
volunteer
Because the last term of c will be 12c^2 and not 16c^2, which we are looking for
15,785
136
[]
volunteer
So your first answer that you wrote down was correct
15,785
137
[]
student
(a-2c)^2 and (3a+4c)?
15,785
138
[]
volunteer
No, it won't be the same
15,785
139
[]
student
what...
15,785
140
[]
volunteer
Because you will receive -8a^2c - 4ac^2
15,785
141
[]
volunteer
So it wouldn't align with 9a^2 -12ac + 16c^2
15,785
142
[]
student
oh
15,785
143
[]
volunteer
Okay is there any more questions that you have before I end the session.
15,785
144
[]
volunteer
Also it was nice meeting you Alex
15,785
145
[ { "pii_type": "PERSON", "surrogate": "Alex", "start": 29, "end": 33 } ]
student
what are the two formulas?
15,785
146
[]
volunteer
The cube and square?
15,785
147
[]
student
yes
15,785
148
[]
volunteer
Square formula: (a^2 - b^2) = (a-b)(a+b) and Cube formula: a^3 + b^3 = (a+b)(a^2 - ab + b^2)
15,785
149
[]
volunteer
Is there any other questions?
15,785
150
[]
student
thats it
15,785
151
[]
student
thank you for working with me
15,785
152
[]
volunteer
My pleasure. If you ever need help again, feel free to contact me since Tutor Provider is available 24/7
15,785
153
[]
volunteer
It was nice working and speaking to you Alex!
15,785
154
[ { "pii_type": "PERSON", "surrogate": "Alex", "start": 40, "end": 44 } ]
student
Alright then, see you another possible day
15,785
155
[]
student
Bye then!
15,785
156
[]
volunteer
Of course, I'll look forward into working with you
15,785
157
[]
volunteer
Bye Alex!!!
15,785
158
[ { "pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8 } ]
student
bye!
15,785
159
[]
volunteer
Hi Liam! How is your day so far?
15,792
0
[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7 } ]
student
It's okay. thanks for asking
15,792
1
[]
volunteer
My pleasure, well I hope you're excited because by the end of this session, you'll be able to solve and understand the topic and questions that you need help with
15,792
2
[]
student
Awesome. Thank you. I'm not really sure how this works. I just signed up
15,792
3
[]
volunteer
Oh it's okay, I'm just here for guidance and help on what you're confused about
15,792
4
[]
volunteer
Okay let's jump right into the question
15,792
5
[]
student
Ok. I will write it on the board
15,792
6
[]
volunteer
Okay perfect.
15,792
7
[]
volunteer
After you write down the equations. Can you provide specific information on what the question is asking you to solve or do
15,792
8
[]
volunteer
But based on what you're writing, it seems like system of equations if I'm not mistaken
15,792
9
[]
student
Yes it is. The question asks: Solve the following system of equations using any method. I remember doing this my freshman year but I don't know how to do it anymore
15,792
10
[ { "pii_type": "GRADE_LEVEL", "surrogate": "freshman", "start": 113, "end": 121 } ]
volunteer
What methods do you know to solve system of equations?
15,792
11
[]
student
Substitution is all
15,792
12
[]
student
That I know
15,792
13
[]
volunteer
Oh okay, we can use that method then to solve the given equations
15,792
14
[]
volunteer
Do you know what to do first?
15,792
15
[]
student
No
15,792
16
[]
volunteer
What do you remember from substitution?
15,792
17
[]
student
That there has to be the same number to cancel each other out
15,792
18
[]
volunteer
Oh, you mixed elimination and substitution together where substitution requires you to solve for y through putting your equation into slope-intercept form
15,792
19
[]
volunteer
Then you substitute it into the other equation of y. For example y = 2x + 2, If I want to figure out whether it has a solution or not then I would plug in 6x - 2(2x + 2) = 10
15,792
20
[]
volunteer
Hi Alex!
15,826
0
[ { "pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7 } ]
volunteer
How can I best help you today?
15,826
1
[]
student
Hi. Well first I wanna make sure i'Northwood High algebra wasn't an option :(
15,826
2
[ { "pii_type": "SCHOOL", "surrogate": "Northwood High", "start": 35, "end": 49 } ]
volunteer
I don'Northwood High algebra is an option...but depending on what it is I can probably help!
15,826
3
[ { "pii_type": "SCHOOL", "surrogate": "Northwood High", "start": 6, "end": 20 } ]
student
Ok thank you! Let me get the photo
15,826
4
[]
student
Honestly I have been struggling to understand ANY of this unit
15,826
5
[]
volunteer
Okay no worries! I think I can help!
15,826
6
[]
volunteer
Let's start with the first one... any ideas on how to start? If not that's totally fine!
15,826
7
[]
student
I have no idea
15,826
8
[]
volunteer
Okay that's all good! I'll do a mix of writing on the board and typing out explanations to hopefully make it clearer
15,826
9
[]
volunteer
okay let's start by multiplying both sides by x-5
15,826
10
[]
volunteer
what will that give us?
15,826
11
[]
student
well I think on the first side, it cancels out the bottom..
15,826
12
[]
volunteer
Yep exactly right!
15,826
13
[]
student
I'm not sure it would affect the 10 though
15,826
14
[]
volunteer
it would not affect the 10
15,826
15
[]
student
so the other would just be x-5 right? Because 1x1 is still 1
15,826
16
[]
volunteer
Yep!
15,826
17
[]
volunteer
and then what would x be?
15,826
18
[]
student
if I did my math right, I think 15?
15,826
19
[]
volunteer
Yeah, you got it!
15,826
20
[]
volunteer
Alright, ready for the next one?
15,826
21
[]
student
yes
15,826
22
[]
volunteer
Great! So for this one since there are multiple fractions we will need a common denominator
15,826
23
[]
volunteer
Any idea how to do that?
15,826
24
[]
student
nope
15,826
25
[]
volunteer
Okay no worries!
15,826
26
[]
volunteer
so let's start with the one on the right....if we pull a negative sign out front, it will look closer to the other denominators
15,826
27
[]
volunteer
does what I just did make sense so far?
15,826
28
[]
student
kinda?
15,826
29
[]
student
sorry, I'm just a little confused on why it would become negative if that makes sense
15,826
30
[]
volunteer
Okay no worries, that's a great question to ask. So what I did was basically multiplying by a -1 over a -1 which is just 1 right? So it doesn't actually change the fraction
15,826
31
[]
volunteer
but what it does do, is when the negative gets distributed to all the terms the x becomes positive and the three becomes negative
15,826
32
[]
volunteer
You also don't have to do this step, but it will make your other steps much easier.
15,826
33
[]
student
oh ok
15,826
34
[]
volunteer
I'm hoping that makes a little more sense now?
15,826
35
[]
student
Mostly, yeah
15,826
36
[]