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
student	Hi! I’m just now learning about proofs and it’s kind of confusing.	13,161	2	[]
volunteer	Okayy like triangle similarity proofs?	13,161	3	[]
student	Like paragraph proofs or like 2 column proofs	13,161	4	[]
volunteer	could you provide an example?	13,161	5	[]
student	Since <A is congruent to <B Since ∠A and ∠B are complementary, their measures add up to 90°. Because ∠A ≅ ∠C, ∠C has the same measure as ∠A. Therefore, ∠C and ∠B also add up to 90	13,161	6	[]
volunteer	okay so for this	13,161	7	[]
volunteer	you need to prove that C and B add up to 90 yes?	13,161	8	[]
student	Yes	13,161	9	[]
volunteer	okayy	13,161	10	[]
volunteer	and you want to explain it in both paragraph and column?	13,161	11	[]
student	Yes	13,161	12	[]
volunteer	okay first lets write out how it would be true in math	13,161	13	[]
volunteer	so we know that angles A and B are both complimentary	13,161	14	[]
volunteer	so that means that both added is 90 degrees	13,161	15	[]
volunteer	lets draw that out	13,161	16	[]
volunteer	okay so in simple math terms	13,161	17	[]
volunteer	we can write this as A+B=90 right	13,161	18	[]
student	Okay!	13,161	19	[]
volunteer	so noww	13,161	20	[]
volunteer	next thing they give us is that	13,161	21	[]
volunteer	A is equal to C	13,161	22	[]
volunteer	so that means A and C are interchangeable right	13,161	23	[]
student	Alright!	13,161	24	[]
student	Alright!	13,161	25	[]
volunteer	so that means we can swap out a with C	13,161	26	[]
volunteer	hence C+B can also equal 90	13,161	27	[]
volunteer	so now we take all of this	13,161	28	[]
volunteer	and for paragraph mode we write a summery of our thought process	13,161	29	[]
volunteer	do you want to try with the things I said?	13,161	30	[]
student	Sure I’ll try!	13,161	31	[]
volunteer	okayy you got thiss	13,161	32	[]
student	Since <A and <B are complementary, the sum of their measures is 90°. This means m<A + m<B = 90°. Because ∠A is congruent to <C, the measure of <C is equal to the measure of <A, or m<C = m<A. Substituting m<C for m<A in the equation gives m<C + m<B = 90°.	13,161	33	[]
volunteer	yessssssssssss	13,161	34	[]
volunteer	thats how you do ittt	13,161	35	[]
volunteer	you got the paragraph version down	13,161	36	[]
student	Thanks!!!	13,161	37	[]
volunteer	Now we should try the column one tooo	13,161	38	[]
volunteer	okay so for the column one its gonna be very similar	13,161	39	[]
volunteer	can you use the whiteboard?	13,161	40	[]
student	Yes!	13,161	41	[]
volunteer	okay so what you want to do	13,161	42	[]
volunteer	is remember your thought proces?	13,161	43	[]
volunteer	you want to put it step by step	13,161	44	[]
volunteer	so what is the very first thing we identified	13,161	45	[]
student	That the angles of a and b were complementary	13,161	46	[]
volunteer	right	13,161	47	[]
volunteer	and what does that mean	13,161	48	[]
student	They equal 90 degrees	13,161	49	[]
volunteer	yepppp	13,161	50	[]
volunteer	so what we do is	13,161	51	[]
volunteer	in the step column	13,161	52	[]
volunteer	we write the mathematical version of that	13,161	53	[]
volunteer	so the	13,161	54	[]
volunteer	A+B=90	13,161	55	[]
volunteer	is what we write in the first column	13,161	56	[]
volunteer	don	13,161	57	[]
volunteer	don't forget the = ninetyy	13,161	58	[]
student	I can’t write ugh!!! I’m on my phone so it makes it look big	13,161	59	[]
student	I can’t write ugh!!! I’m on my phone so it makes it look big	13,161	60	[]
volunteer	oh its okayyyy	13,161	61	[]
volunteer	you just type it in chat	13,161	62	[]
student	Okay A+B=90	13,161	63	[]
volunteer	and how did we find out that the A and B is complimentary	13,161	64	[]
student	That was already given	13,161	65	[]
volunteer	yeppp	13,161	66	[]
volunteer	so in the proof we literally just write given	13,161	67	[]
volunteer	next what did we do	13,161	68	[]
student	We said a and c were congruent	13,161	69	[]
volunteer	right	13,161	70	[]
volunteer	so angle A is = to angle C	13,161	71	[]
volunteer	and how did we find that outtt	13,161	72	[]
student	That was given too!	13,161	73	[]
volunteer	yeppp	13,161	74	[]
volunteer	now here is the trickey part	13,161	75	[]
volunteer	how does knowing that	13,161	76	[]
volunteer	A and C are congruent	13,161	77	[]
volunteer	mean that the measure of A and measure of C are equal	13,161	78	[]
volunteer	don't over think itt	13,161	79	[]
student	Uhhhm I’m not sure 😭	13,161	80	[]
volunteer	what's the definition of congruentt?	13,161	81	[]
student	Equal	13,161	82	[]
volunteer	yeppp	13,161	83	[]
volunteer	so we know that the measures of both of them are equal because that is the definition of congruentt!!	13,161	84	[]
volunteer	its super straight forward	13,161	85	[]
student	ohh ok!	13,161	86	[]
volunteer	we tend to skip that step because we automatically know that congruent means equal but unless they straight out say that measure of both are equal we have to mention that the measures are equal according to the definition	13,161	87	[]
student	oh ok!	13,161	88	[]
volunteer	yeppp	13,161	89	[]
volunteer	so after that what did we do?	13,161	90	[]
volunteer	after saying that A and C are equal to eachother	13,161	91	[]
student	We said that C and B had to equal to each other as well	13,161	92	[]
volunteer	noooooo we said that C+B is equal to 90 remember?	13,161	93	[]
volunteer	we shouldn't usually assume things when it comes to this stuff. Unless they say it outright or we prove it somehow previously we shouldn't say it.	13,161	94	[]
student	Ohh okay sorry	13,161	95	[]
student	Ohh okay sorry	13,161	96	[]
volunteer	its okayyyy no need to apologize its a common mistakee	13,161	97	[]
volunteer	even I do it sometimess	13,161	98	[]
student	I think I understand now from doing this so thank you so much! That helped cleaned up my mistakes more	13,161	99	[]
volunteer	no problemmm	13,161	100	[]
volunteer	do you want to finish the rest of the process or do you think you got it noww?	13,161	101	[]

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