Split (1)

train · 116k rows

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
volunteer	Correct, correct	13,553	195	[]
student	uh, like	13,553	196	[]
student	why does it go to X + 3.	13,553	197	[]
student	or	13,553	198	[]
volunteer	OK, let me show it. So it's 33 x, right? Let me write it. Correct?	13,553	199	[]
student	Oh, wait, wait, wait, no, no, no, yeah, I, I see that like it's cause I mean if you just think about it, you can, it, this just becomes X^2 + 3 x, if you think about it, yeah, yeah.	13,553	200	[]
volunteer	Correct. Correct, correct. Exactly, you got it.	13,553	201	[]
volunteer	And the same where I now, now I know one factor is explicitly already, right? Because that's what I got.	13,553	202	[]
student	Mhm	13,553	203	[]
volunteer	So essentially, you need to make sure how do you get the other one is X + 3. So if you take -2 out as common.	13,553	204	[]
volunteer	then you see this is minus to X and this is	13,553	205	[]
volunteer	-6 + 3 minus 2.	13,553	206	[]
volunteer	Oops	13,553	207	[]
volunteer	I got something	13,553	208	[]
student	OK. And I like consistently do this without like, like I know how to work back from the last form, but I don't know how to work to it exactly. Or at least not like quickly.	13,553	209	[]
volunteer	All right, so we go there, that's the next step, that's the next step.	13,553	210	[]
volunteer	Uh, so way of doing this is, do you know factorization of numbers like you, how do you do this? So let me just try it and, and then you can tell me. So this is 6	13,553	211	[]
volunteer	correct?	13,553	212	[]
student	Mhm.	13,553	213	[]
volunteer	You take a prime number. So prime number, you know, 2357, stuff like that, right?	13,553	214	[]
student	mhm	13,553	215	[]
volunteer	So you just say, OK, my first smallest brand number is 2. Good.	13,553	216	[]
volunteer	Then I get a 3 year, correct?	13,553	217	[]
student	Mhm	13,553	218	[]
volunteer	What's my next plan number? 3	13,553	219	[]
volunteer	I got a 1 here and I stop.	13,553	220	[]
volunteer	So now you know your two factors of these 3 and 2.	13,553	221	[]
volunteer	You just sort of walk signs now.	13,553	222	[]
student	Do what? could you	13,553	223	[]
student	All right, so why are we doing uh	13,553	224	[]
student	that	13,553	225	[]
student	I mean	13,553	226	[]
volunteer	Why are you doing that? So you look at this number 6 here, um.	13,553	227	[]
volunteer	you know, this number 6 here.	13,553	228	[]
volunteer	in the equation, right	13,553	229	[]
student	uh-huh	13,553	230	[]
volunteer	So that's the reason we're doing 6. Is that the question? Why did we pick 6?	13,553	231	[]
student	Yeah, but like, why are we finding then the prime number of 6.	13,553	232	[]
student	or like the prime	13,553	233	[]
volunteer	You, you could use anything but Prime makes it easier to search for them.	13,553	234	[]
volunteer	I mean, if you, if you have a better way of doing it, we can do 6 multiplied by 1 S 6, but then it won't give you the factor of, you know, so let's do that. Let me try, try doing the other one.	13,553	235	[]
student	Oh, so you're doing, like you have like for me when I look, what I'm looking at is like it's 2 and then basically that corresponds with 6.	13,553	236	[]
student	I that	13,553	237	[]
volunteer	Yeah, yeah, you can think of it that way, but you know, it, it works for this problem. It may not work everywhere.	13,553	238	[]
student	Yeah, like you don't, you have to change uh 6 or	13,553	239	[]
volunteer	Yeah	13,553	240	[]
student	Mhm.	13,553	241	[]
volunteer	So it, it may get uh complicated. So let's take this for example, the problem that we had in hand.	13,553	242	[]
volunteer	So do you, you understand prime factors, right? Is this very clear, uh, the one here in this	13,553	243	[]
student	uh	13,553	244	[]
student	yeah, but like you could also use like for 6 you could do 1	13,553	245	[]
student	well no	13,553	246	[]
student	one is in prime, right	13,553	247	[]
student	OK.	13,553	248	[]
volunteer	Yeah, you could do 1 and 6, for example, if I draw this one more time. Let's do this, uh.	13,553	249	[]
volunteer	I could do it this way, I call it.	13,553	250	[]
student	Like 2 and 3, right	13,553	251	[]
student	OK.	13,553	252	[]
volunteer	Yeah, yeah. Yeah, it's 2 and 3, right? That's what we're doing 2 and 3.	13,553	253	[]
volunteer	Mhm	13,553	254	[]
student	So then the two in like the 3 that's on the bottom goes basically to the 6 and it's connected to it.	13,553	255	[]
student	or is it connected just to the three basically.	13,553	256	[]
student	Like,	13,553	257	[]
student	Hm.	13,553	258	[]
volunteer	No, no, so this will be a factorization. What factorization means is, uh, so let me explain what is done here. So suppose if I have 27, for example, right? So does that, is it duzzled by 2? No, right?	13,553	259	[]
student	So 3	13,553	260	[]
volunteer	It's 3. So you do 3	13,553	261	[]
volunteer	927, correct?	13,553	262	[]
volunteer	Three multivitamins 27, correct?	13,553	263	[]
student	Yeah, but why do you, so the way you're doing that is like you're multiplying	13,553	264	[]
student	you're putting the number that's multiplied by	13,553	265	[]
student	below the number you're getting.	13,553	266	[]
volunteer	Yeah	13,553	267	[]
student	and then you're finding the factors of that number you multiply by.	13,553	268	[]
volunteer	Then I, yes, correct	13,553	269	[]
volunteer	That's a method of finding factors.	13,553	270	[]
student	OK	13,553	271	[]
volunteer	So you could do this like 3 and then 3 is 9, correct? These two multiply gives you 9.	13,553	272	[]
student	Yeah	13,553	273	[]
volunteer	and then 3, multiplied by 1.	13,553	274	[]
volunteer	uses that 3	13,553	275	[]
volunteer	So the factors of 27 are 3 by 3, by 3.	13,553	276	[]
student	Oh, so like the smallest, so that's the smallest possible thing.	13,553	277	[]
volunteer	Correct, the smallest possible you start and you start with something that's smallest but prime.	13,553	278	[]
student	OK. But then couldn't, and then this could also work though if you	13,553	279	[]
student	just	13,553	280	[]
student	like with any other number, right?	13,553	281	[]
volunteer	Yeah, it can work any number that has factors. So sometimes, for example, if this is, this is 29 for some reason. It won't work, right?	13,553	282	[]
student	Yeah, but there won't be any factors and it'll just be 29.	13,553	283	[]
volunteer	Exactly, that's fine, correct. Exactly.	13,553	284	[]
student	And then this goes into the problem so that, I mean, I know it's like to find the factors, but like,	13,553	285	[]
volunteer	Yeah, the idea is you're able to find the factors for 6 here quickly, but you know, this was easy, but if it's a complicated one.	13,553	286	[]
student	oh, wait, wait, wait. So, the reason we found the factors was just so that we know what numbers we can multiaby to get the 6.	13,553	287	[]
student	OK	13,553	288	[]
volunteer	Correct, exactly. X gives you 6, and then you use the signs here, minus and plus to get us this number, which is an addition, right? So if I use both as positive, 3 + 2 is 5.	13,553	289	[]
volunteer	So that doesn't work	13,553	290	[]
volunteer	If it is negative, then it has to be -3 and +2.	13,553	291	[]
volunteer	Correct?	13,553	292	[]
student	Oh I did. So, we, why are we doing the addition and it's	13,553	293	[]
volunteer	Because if you add	13,553	294	[]

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