Chat Index	Date	Time Start Typing	Time of Posting	Author	Type	Content	Refers to
1	05/09/2006		18:17:35	Gerry	joins	joins the room
2	05/09/2006		18:23:13	bwang8	joins	joins the room
3	05/09/2006		18:23:14	Aznx	joins	joins the room
4	05/09/2006		18:23:14	Quicksilver	joins	joins the room
5	05/09/2006	18:23:17	18:23:18	bwang8	chat	hi
6	05/09/2006	18:23:22	18:23:23	Aznx	chat	Hi
7	05/09/2006	18:23:27	18:23:28	Quicksilver	chat	hey
	05/09/2006	18:23:27	18:23:29	bwang8		[bwang8 has fully erased the chat message]
8	05/09/2006	18:23:26	18:23:35	Aznx	chat	So we can't have our own friends?
	05/09/2006	18:23:32	18:23:37	bwang8		[bwang8 has fully erased the chat message]
9	05/09/2006	18:23:38	18:23:40	bwang8	chat	nope
10	05/09/2006	18:23:48	18:23:49	bwang8	chat	lol
11	05/09/2006	18:23:46	18:23:52	Quicksilver	chat	hey three of us are from miller
	05/09/2006	18:23:51	18:23:52	bwang8		[bwang8 has fully erased the chat message]
	05/09/2006	18:23:52	18:23:55	bwang8		[bwang8 has fully erased the chat message]
12	05/09/2006	18:23:50	18:23:55	Gerry	chat	Hi everyone!
	05/09/2006	18:23:57	18:23:58	bwang8		[bwang8 has fully erased the chat message]
13	05/09/2006	18:24:02	18:24:03	bwang8	chat	oh
14	05/09/2006	18:23:58	18:24:06	Gerry	chat	I am your VMT guide today
15	05/09/2006	18:24:06	18:24:06	Aznx	chat	How?
	05/09/2006	18:24:06	18:24:10	bwang8		[bwang8 has fully erased the chat message]
16	05/09/2006	18:24:10	18:24:12	Quicksilver	chat	nvrmind
17	05/09/2006	18:24:12	18:24:13	Quicksilver	chat	two of us
18	05/09/2006	18:24:09	18:24:13	Aznx	chat	Who's Gerry?
19	05/09/2006	18:24:18	18:24:19	bwang8	chat	admin
20	05/09/2006	18:24:16	18:24:19	Aznx	chat	Yeah. =)
21	05/09/2006	18:24:42	18:24:45	Quicksilver	chat	Hello Gerry!
22	05/09/2006	18:24:31	18:24:59	Gerry	chat	Today's session is mainly to get to know the VMT system
23	05/09/2006	18:25:07	18:25:18	Aznx	chat	So, how do you use the whiteboard?
	05/09/2006	18:25:10	18:25:22	bwang8		[bwang8 has fully erased the chat message]
	05/09/2006		18:25:25	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:25:29	bwang8	wb	[bwang8 deleted some object/s ]
24	05/09/2006	18:25:27	18:25:51	Gerry	chat	I will answer your questions as you start to do things
25	05/09/2006	18:25:58	18:25:59	bwang8	chat	asdfadsf	[1] Reference to whiteboard (whiteboardDoc)
26	05/09/2006		18:25:59	bwang8	chat
	05/09/2006		18:26:07	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:26:09	bwang8	wb	[bwang8 deleted some object/s ]
27	05/09/2006	18:26:13	18:26:15	bwang8	chat	ok
28	05/09/2006	18:26:10	18:26:27	Gerry	chat	The whiteboard is a shared area for drawing and textboxes
29	05/09/2006	18:26:32	18:26:56	Gerry	chat	What you put there is seen by everyone in this room, just like the chat messages	[1] Reference to message No. 28 (Text: The whiteboard is a shared area for drawing and textboxes )
	05/09/2006		18:26:57	bwang8	START:TextEditing
	05/09/2006		18:27:03	bwang8	END:TextEditing
	05/09/2006		18:27:14	bwang8	START:TextEditing
30	05/09/2006	18:27:10	18:27:18	Aznx	chat	It seems they only last for a while thoough/
31	05/09/2006	18:27:23	18:27:26	bwang8	chat	i delete them
	05/09/2006	18:27:21	18:27:33	Aznx		[Aznx has fully erased the chat message]
	05/09/2006	18:27:37	18:27:38	bwang8		[bwang8 has fully erased the chat message]
32	05/09/2006	18:27:36	18:27:47	Aznx	chat	Does that mean in the real time, all the work would be there?
33	05/09/2006	18:27:43	18:27:48	bwang8	chat	can you see main topic?
34	05/09/2006	18:27:35	18:27:53	Gerry	chat	Since things are shared, you should be careful about deleting
35	05/09/2006	18:27:57	18:28:02	bwang8	chat	no, my things
36	05/09/2006	18:28:07	18:28:10	bwang8	chat	just testing
37	05/09/2006	18:28:11	18:28:14	bwang8	chat	functions
	05/09/2006		18:28:19	bwang8	END:TextEditing
	05/09/2006		18:28:31	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:28:33	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		18:28:35	bwang8	wb	[bwang8 created a line ]
38	05/09/2006	18:28:28	18:28:40	Gerry	chat	remember, you are trying to collaborate	[1] Reference to message No. 35 (Text: no, my things )
	05/09/2006		18:28:42	Quicksilver	wb	[Quicksilver deleted some object/s ]
39	05/09/2006	18:28:45	18:28:46	bwang8	chat	ok
40	05/09/2006	18:28:45	18:29:12	Gerry	chat	You can click on the button at the top that says "View Topic" to see the math problem
41	05/09/2006	18:29:32	18:29:32	bwang8	chat	ok
42	05/09/2006	18:29:33	18:29:50	bwang8	chat	are we suppose to solve it now?
43	05/09/2006	18:29:29	18:30:13	Gerry	chat	Then you can click on the button in the little window that appears to open the topic in another big growser window
44	05/09/2006	18:30:32	18:30:36	Gerry	chat	browser*	[1] Reference to message No. 43 (Text: Then you can click on the button in the little window that appears to open the topic in another big growser window )
45	05/09/2006	18:30:33	18:30:40	Aznx	chat	It didn't open.
46	05/09/2006	18:30:50	18:30:52	Aznx	chat	Now it did.
47	05/09/2006	18:31:25	18:31:32	Aznx	chat	So, are we supposed to work together?
	05/09/2006	18:31:25	18:31:45	bwang8		[bwang8 has fully erased the chat message]
48	05/09/2006	18:31:48	18:31:49	bwang8	chat	yeah
49	05/09/2006	18:31:50	18:31:50	bwang8	chat	ok
50	05/09/2006	18:31:51	18:31:54	Gerry	chat	Exactly!	[1] Reference to message No. 47 (Text: So, are we supposed to work together? )
	05/09/2006	18:31:51	18:31:57	Quicksilver		[Quicksilver has fully erased the chat message]
51	05/09/2006	18:31:59	18:32:04	Aznx	chat	Aditya, you there?
52	05/09/2006	18:31:52	18:32:05	bwang8	chat	you can divide the thing into two parts
	05/09/2006		18:32:09	bwang8	wb	[bwang8 created a line ]
53	05/09/2006	18:32:06	18:32:10	Aznx	chat	Let's start this thing.
	05/09/2006		18:32:11	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:13	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:15	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:16	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:18	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:20	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:22	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:24	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:25	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:27	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:29	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:30	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:31	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:33	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:34	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:36	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:32:38	bwang8	wb	[bwang8 created a line ]
54	05/09/2006	18:32:30	18:32:38	Quicksilver	chat	my computer was lagging...What are we doing?	[1] Reference to message No. 50 (Text: Exactly! )
55	05/09/2006	18:32:48	18:32:49	Aznx	chat	http://home.old.mathforum.org/SFest.html
56	05/09/2006	18:32:52	18:32:58	Quicksilver	chat	what are the lines for?	[1] Reference to message No. 43 (Text: Then you can click on the button in the little window that appears to open the topic in another big growser window )
57	05/09/2006	18:32:57	18:33:01	Aznx	chat	go to view topic
58	05/09/2006	18:32:42	18:33:05	bwang8	chat	so you can see we only need to figur one out to get the total stick
59	05/09/2006	18:33:04	18:33:09	Aznx	chat	read the problem
60	05/09/2006	18:33:08	18:33:32	bwang8	chat	1+2+3+........+N+N
	05/09/2006	18:33:33	18:33:36	Aznx		[Aznx has fully erased the chat message]
61	05/09/2006	18:33:34	18:33:38	bwang8	chat	times that by 2
62	05/09/2006	18:33:35	18:33:40	Quicksilver	chat	Never mind I figured it out..
	05/09/2006	18:33:41	18:33:43	bwang8		[bwang8 has fully erased the chat message]
63	05/09/2006	18:33:51	18:34:01	Aznx	chat	Can we collaborate this answer even more?
64	05/09/2006	18:34:02	18:34:05	Aznx	chat	To make it even simpler?
65	05/09/2006	18:34:14	18:34:15	bwang8	chat	ok
66	05/09/2006	18:34:07	18:34:16	Aznx	chat	Because I think we can.
67	05/09/2006	18:34:25	18:34:50	bwang8	chat	((1+N)*N/2+N)*2
68	05/09/2006	18:34:52	18:34:58	bwang8	chat	that's the formula, right?
	05/09/2006	18:34:43	18:35:05	Aznx		[Aznx has fully erased the chat message]
69	05/09/2006	18:35:09	18:35:15	Aznx	chat	How did you come up with it?
70	05/09/2006	18:35:12	18:35:16	bwang8	chat	for total sticks
	05/09/2006	18:35:17	18:35:19	Aznx		[Aznx has fully erased the chat message]
	05/09/2006	18:35:25	18:35:26	bwang8		[bwang8 has fully erased the chat message]
	05/09/2006	18:35:20	18:35:28	Aznx		[Aznx has fully erased the chat message]
71	05/09/2006	18:35:27	18:35:34	bwang8	chat	is a common formual	[1] Reference to message No. 67 (Text: ((1+N)*N/2+N)*2 )
	05/09/2006	18:35:29	18:35:35	Aznx		[Aznx has fully erased the chat message]
72	05/09/2006	18:35:38	18:35:40	bwang8	chat	formula
73	05/09/2006	18:35:43	18:35:46	Aznx	chat	Yeah, I know.
74	05/09/2006	18:35:45	18:35:59	bwang8	chat	and just slightly modify it to get this
	05/09/2006		18:36:15	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		18:36:23	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		18:36:24	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		18:36:27	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		18:36:31	bwang8	wb	[bwang8 created a line ]
75	05/09/2006	18:36:27	18:36:31	Aznx	chat	Aditya, you get this right?
	05/09/2006		18:36:32	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:36:35	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:36:37	bwang8	wb	[bwang8 created a line ]
	05/09/2006	18:36:35	18:36:39	Quicksilver		[Quicksilver has fully erased the chat message]
	05/09/2006		18:36:39	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:36:40	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:36:42	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:36:43	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:36:44	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/09/2006		18:36:45	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:36:47	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/09/2006		18:36:50	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/09/2006		18:36:55	Quicksilver	wb	[Quicksilver resized some objects ]
	05/09/2006		18:36:59	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/09/2006		18:37:00	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/09/2006		18:37:01	Quicksilver	wb	[Quicksilver resized some objects ]
	05/09/2006		18:37:05	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/09/2006		18:37:44	Gerry	START:TextEditing
76	05/09/2006	18:37:39	18:37:45	Quicksilver	chat	What does the n represent?	[1] Reference to message No. 72 (Text: formula )
	05/09/2006	18:37:35	18:37:52	bwang8		[bwang8 has fully erased the chat message]
77	05/09/2006	18:37:54	18:37:57	bwang8	chat	the given
78	05/09/2006	18:37:58	18:37:58	bwang8	chat	N
79	05/09/2006	18:38:00	18:38:02	Aznx	chat	Yeah.
	05/09/2006	18:38:02	18:38:04	bwang8		[bwang8 has fully erased the chat message]
80	05/09/2006	18:38:03	18:38:05	Aznx	chat	In the problem.
	05/09/2006		18:38:13	Gerry	END:TextEditing
	05/09/2006		18:38:13	Gerry	wb	[Gerry created a textbox ]
	05/09/2006		18:38:17	Gerry	wb	[Gerry resized some objects ]
	05/09/2006		18:38:20	Quicksilver	wb	[Quicksilver resized some objects ]
	05/09/2006	18:38:10	18:38:21	Aznx		[Aznx has fully erased the chat message]
81	05/09/2006	18:38:36	18:38:37	Quicksilver	chat	Oh
82	05/09/2006	18:38:06	18:38:38	bwang8	chat	The number of squares is just (1+N)*N/2	[1] Reference to message No. 67 (Text: ((1+N)*N/2+N)*2 )
	05/09/2006		18:38:44	Aznx	wb	[Aznx created a line ]
	05/09/2006		18:38:48	Aznx	wb	[Aznx created a line ]
83	05/09/2006	18:38:46	18:38:50	Quicksilver	chat	We need that as well.
	05/09/2006		18:38:51	Aznx	wb	[Aznx created a line ]
84	05/09/2006	18:38:36	18:38:52	Gerry	chat	I put BWang's formula on the whiteboard	[1] Reference to whiteboard (whiteboardDoc)
	05/09/2006		18:38:55	Aznx	wb	[Aznx created a line ]
	05/09/2006		18:39:04	Aznx	START:TextEditing
	05/09/2006		18:39:19	Aznx	END:TextEditing
	05/09/2006		18:39:19	Aznx	wb	[Aznx created a textbox ]
	05/09/2006		18:39:28	Aznx	wb	[Aznx moved some object/s ]
85	05/09/2006	18:39:39	18:39:45	Aznx	chat	So how do we submit this?
86	05/09/2006	18:40:18	18:40:26	Quicksilver	chat	We are still in the process
	05/09/2006	18:40:34	18:40:35	bwang8		[bwang8 has fully erased the chat message]
87	05/09/2006	18:40:30	18:40:38	Quicksilver	chat	We are discussing
	05/09/2006	18:40:36	18:40:39	bwang8		[bwang8 has fully erased the chat message]
88	05/09/2006	18:40:21	18:40:41	Gerry	chat	you can complete the table for different N and put that on the wiki	[1] Reference to message No. 85 (Text: So how do we submit this? )
89	05/09/2006	18:40:45	18:40:46	bwang8	chat	ok
90	05/09/2006	18:40:49	18:40:56	Quicksilver	chat	Do we complete it on the whiteboard?
91	05/09/2006	18:40:56	18:40:59	Aznx	chat	bwang you can do it.
92	05/09/2006	18:40:50	18:41:01	bwang8	chat	that would take a while
	05/09/2006	18:41:02	18:41:03	Aznx		[Aznx has fully erased the chat message]
93	05/09/2006	18:41:03	18:41:10	Aznx	chat	Or do we all have to put the values?
	05/09/2006	18:41:19	18:41:24	bwang8		[bwang8 has fully erased the chat message]
94	05/09/2006	18:41:27	18:42:05	Gerry	chat	There are 3 of you and the problem asks for 3 rows, so you could each do one -- as long as you all collaboratively agree on the values first
95	05/09/2006	18:42:13	18:42:17	bwang8	chat	ok
96	05/09/2006	18:42:21	18:42:22	Aznx	chat	Ok.
	05/09/2006	18:42:33	18:42:33	Aznx		[Aznx has fully erased the chat message]
	05/09/2006	18:42:34	18:42:34	Aznx		[Aznx has fully erased the chat message]
97	05/09/2006	18:42:36	18:42:37	bwang8	chat	me 4
	05/09/2006	18:42:35	18:42:41	Aznx		[Aznx has fully erased the chat message]
98	05/09/2006	18:42:42	18:42:44	Aznx	chat	I'll do 5.
99	05/09/2006	18:42:46	18:42:49	Aznx	chat	Aditya does 6.
100	05/09/2006	18:42:50	18:42:59	Aznx	chat	So we submit it together for N?
	05/09/2006		18:43:11	Aznx	START:TextEditing
	05/09/2006		18:43:13	Aznx	END:TextEditing
	05/09/2006		18:43:17	Aznx	START:TextEditing
	05/09/2006		18:43:19	Aznx	END:TextEditing
	05/09/2006	18:43:24	18:43:25	bwang8		[bwang8 has fully erased the chat message]
101	05/09/2006	18:43:26	18:43:33	bwang8	chat	where do i enter the answer
102	05/09/2006	18:43:52	18:44:08	Gerry	chat	From the window with the Topic, click on the link for the wiki	[1] Reference to message No. 101 (Text: where do i enter the answer )
	05/09/2006	18:44:08	18:44:13	Quicksilver		[Quicksilver has fully erased the chat message]
103	05/09/2006	18:44:16	18:44:19	Aznx	chat	And then?
	05/09/2006	18:44:24	18:44:28	Aznx		[Aznx has fully erased the chat message]
104	05/09/2006	18:44:24	18:44:43	Gerry	chat	Then go to "rows of the table"	[1] Reference to whiteboard (whiteboardDoc)
	05/09/2006	18:45:09	18:45:10	Aznx		[Aznx has fully erased the chat message]
105	05/09/2006	18:44:55	18:45:14	Gerry	chat	At the bottom of the wiki page is a link to "edit this page"	[1] Reference to whiteboard (whiteboardDoc)
106	05/09/2006	18:45:44	18:45:49	Aznx	chat	So our team name is 2?
107	05/09/2006	18:45:33	18:45:49	Gerry	chat	Take turns so you do not overwrite each other's edits
	05/09/2006	18:45:54	18:45:55	Gerry		[Gerry has fully erased the chat message]
108	05/09/2006	18:45:55	18:46:01	Gerry	chat	You are TEAM B
109	05/09/2006	18:46:04	18:46:04	Aznx	chat	ok
	05/09/2006	18:44:18	18:46:13	Quicksilver		[Quicksilver has fully erased the chat message]
110	05/09/2006	18:46:11	18:46:14	Aznx	chat	bwang you go first
111	05/09/2006	18:46:18	18:46:18	bwang8	chat	ok
112	05/09/2006	18:46:15	18:46:19	Aznx	chat	tell me when you're done
113	05/09/2006	18:46:05	18:46:37	Gerry	chat	Enter your team name and the values for sticks and squares
114	05/09/2006	18:46:30	18:46:43	Quicksilver	chat	I tried, but it didn't work	[1] Reference to message No. 110 (Text: bwang you go first )
115	05/09/2006	18:46:46	18:46:50	Quicksilver	chat	Are we Team B?
116	05/09/2006	18:46:53	18:46:55	Aznx	chat	TEAM B
117	05/09/2006	18:47:01	18:47:02	bwang8	chat	i am done
118	05/09/2006	18:46:59	18:47:06	Aznx	chat	I think's its case sensitive.
	05/09/2006	18:47:05	18:47:06	bwang8		[bwang8 has fully erased the chat message]
119	05/09/2006	18:47:07	18:47:11	Aznx	chat	Alright, my turn.
	05/09/2006	18:47:07	18:47:15	bwang8		[bwang8 has fully erased the chat message]
120	05/09/2006	18:47:23	18:47:25	Gerry	chat	Nice!	[1] Reference to message No. 117 (Text: i am done )
121	05/09/2006	18:47:21	18:47:27	bwang8	chat	is mine in the correct format
122	05/09/2006	18:47:43	18:47:47	Aznx	chat	We just write B?
123	05/09/2006	18:47:49	18:47:51	Aznx	chat	On Team name?
124	05/09/2006	18:47:53	18:47:53	Aznx	chat	right?
125	05/09/2006	18:47:57	18:47:57	bwang8	chat	yes
126	05/09/2006	18:48:01	18:48:02	Gerry	chat	yes	[1] Reference to message No. 125 (Text: yes )
127	05/09/2006	18:49:25	18:49:28	Aznx	chat	Just checking.
128	05/09/2006	18:49:29	18:49:34	Aznx	chat	The number of squares is 15.
129	05/09/2006	18:49:25	18:49:47	Gerry	chat	You might want to draw the table on the whiteboard to make sure you all agree
	05/09/2006	18:49:35	18:49:56	Aznx		[Aznx has fully erased the chat message]
	05/09/2006		18:50:11	Aznx	START:TextEditing
	05/09/2006		18:50:13	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:50:19	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:50:29	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:50:35	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:50:39	bwang8	wb	[bwang8 created a line ]
	05/09/2006		18:50:42	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:50:44	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:50:46	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:50:48	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006	18:50:56	18:50:57	bwang8		[bwang8 has fully erased the chat message]
130	05/09/2006	18:50:24	18:51:00	Quicksilver	chat	There are 15 squares and 44 sticks for n=5?
	05/09/2006		18:51:01	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:08	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		18:51:11	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:13	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:19	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		18:51:23	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:24	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:27	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:32	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:35	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:37	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:40	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:41	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:43	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006		18:51:44	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006	18:51:53	18:51:55	bwang8		[bwang8 has fully erased the chat message]
131	05/09/2006	18:51:55	18:52:03	bwang8	chat	isn't it 40
	05/09/2006	18:52:06	18:52:07	bwang8		[bwang8 has fully erased the chat message]
132	05/09/2006	18:52:09	18:52:18	bwang8	chat	(15+5)*2
	05/09/2006		18:52:28	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		18:52:30	bwang8	wb	[bwang8 deleted some object/s ]
133	05/09/2006	18:52:26	18:52:35	Quicksilver	chat	How do you draw a table in the whiteboard?	[1] Reference to whiteboard (whiteboardDoc)
	05/09/2006		18:52:37	bwang8	wb	[bwang8 created a scribble ]
134	05/09/2006	18:52:41	18:52:51	bwang8	chat	line tool and scribble
135	05/09/2006	18:52:52	18:52:53	bwang8	chat	lol
136	05/09/2006	18:52:53	18:52:59	bwang8	chat	it looks really bad
	05/09/2006	18:53:18	18:53:20	Aznx		[Aznx has fully erased the chat message]
137	05/09/2006	18:53:21	18:53:24	Aznx	chat	everyone agree with me?
138	05/09/2006	18:53:27	18:53:29	Aznx	chat	on the table?
139	05/09/2006	18:53:31	18:53:35	Aznx	chat	i triple-checked =P
140	05/09/2006	18:54:12	18:54:12	bwang8	chat	ok
141	05/09/2006	18:54:14	18:54:17	bwang8	chat	i can't see it
	05/09/2006	18:54:16	18:54:20	Aznx		[Aznx has fully erased the chat message]
	05/09/2006	18:54:32	18:54:33	Aznx		[Aznx has fully erased the chat message]
142	05/09/2006	18:54:33	18:54:34	Aznx	chat	you cant?
143	05/09/2006	18:54:35	18:54:39	Aznx	chat	i'll draw it then =P
	05/09/2006		18:54:47	Aznx	END:TextEditing
	05/09/2006		18:54:47	Aznx	wb	[Aznx created a textbox ]
	05/09/2006		18:54:48	Aznx	wb	[Aznx created a line ]
	05/09/2006		18:54:51	Aznx	wb	[Aznx created a line ]
	05/09/2006		18:54:53	Aznx	wb	[Aznx created a line ]
	05/09/2006		18:54:55	Aznx	wb	[Aznx created a line ]
144	05/09/2006	18:54:56	18:54:57	Quicksilver	chat	Yes
	05/09/2006		18:54:58	Aznx	wb	[Aznx created a line ]
	05/09/2006	18:54:58	18:54:59	Quicksilver		[Quicksilver has fully erased the chat message]
	05/09/2006		18:55:01	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:09	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:10	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:15	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:17	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:19	Aznx	wb	[Aznx created a scribble ]
145	05/09/2006	18:55:22	18:55:25	Aznx	chat	agreed?
146	05/09/2006	18:55:24	18:55:32	Quicksilver	chat	why can't I select to draw a line?	[1] Reference to whiteboard (LineStuff-1147217965779-29954541)
	05/09/2006		18:55:41	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:44	Aznx	wb	[Aznx created a scribble ]
147	05/09/2006	18:55:38	18:55:45	Quicksilver	chat	How did you guys do it?
	05/09/2006		18:55:45	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:48	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:49	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:51	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:53	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:54	Aznx	wb	[Aznx created a scribble ]
	05/09/2006	18:55:54	18:55:55	bwang8		[bwang8 has fully erased the chat message]
	05/09/2006		18:55:56	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:55:58	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:56:00	Aznx	wb	[Aznx created a scribble ]
	05/09/2006	18:55:56	18:56:01	bwang8		[bwang8 has fully erased the chat message]
	05/09/2006		18:56:02	Aznx	wb	[Aznx created a scribble ]
148	05/09/2006	18:56:07	18:56:10	Aznx	chat	There!
149	05/09/2006	18:55:19	18:56:11	Gerry	chat	To point to the whiteboard, select the hand icon all the way on the left and pull out a rectangle around the object you are pointing to before you type your chat message	[1] Reference to whiteboard (whiteboardDoc)
	05/09/2006		18:56:23	Aznx	wb	[Aznx created a scribble ]
150	05/09/2006	18:56:09	18:56:29	bwang8	chat	wait isn't it 40 for # of sticks
	05/09/2006	18:56:34	18:56:35	bwang8		[bwang8 has fully erased the chat message]
151	05/09/2006	18:56:28	18:56:37	Aznx	chat	Everyone agree with me?
152	05/09/2006	18:56:42	18:56:43	Aznx	chat	Yeah
153	05/09/2006	18:56:37	18:56:44	bwang8	chat	(15+5)*2
154	05/09/2006	18:56:47	18:56:48	Aznx	chat	Um.
155	05/09/2006	18:56:49	18:56:52	Aznx	chat	I switched them around
156	05/09/2006	18:56:54	18:56:54	Aznx	chat	lol
157	05/09/2006	18:57:04	18:57:04	bwang8	chat	?
158	05/09/2006	18:57:20	18:57:23	Aznx	chat	the numbers are correct
159	05/09/2006	18:57:39	18:57:44	bwang8	chat	no
	05/09/2006	18:57:41	18:57:48	Aznx		[Aznx has fully erased the chat message]
	05/09/2006	18:57:47	18:57:49	bwang8		[bwang8 has fully erased the chat message]
160	05/09/2006	18:57:48	18:57:52	Aznx	chat	they're not on the right place
161	05/09/2006	18:57:50	18:57:56	bwang8	chat	(15+5)*2=40
162	05/09/2006	18:58:00	18:58:05	Aznx	chat	i wrote 40.
163	05/09/2006	18:57:58	18:58:05	bwang8	chat	i know they are not in right place
	05/09/2006	18:58:07	18:58:08	bwang8		[bwang8 has fully erased the chat message]
164	05/09/2006	18:58:08	18:58:09	Aznx	chat	yeah
165	05/09/2006	18:58:09	18:58:10	bwang8	chat	oh
166	05/09/2006	18:58:12	18:58:13	Aznx	chat	lol
167	05/09/2006	18:58:15	18:58:18	bwang8	chat	i see 44
	05/09/2006		18:58:21	bwang8	wb	[bwang8 created a scribble ]
	05/09/2006	18:58:15	18:58:25	Aznx		[Aznx has fully erased the chat message]
	05/09/2006		18:58:26	bwang8	START:TextEditing
	05/09/2006		18:58:29	bwang8	END:TextEditing
	05/09/2006		18:58:31	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:58:32	Aznx	wb	[Aznx created a scribble ]
	05/09/2006		18:58:33	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		18:58:36	Aznx	START:TextEditing
	05/09/2006		18:58:39	bwang8	START:TextEditing
	05/09/2006		18:58:40	Aznx	END:TextEditing
	05/09/2006		18:58:40	Aznx	wb	[Aznx created a textbox ]
	05/09/2006		18:58:45	Aznx	wb	[Aznx moved some object/s ]
	05/09/2006		18:58:48	bwang8	END:TextEditing
	05/09/2006		18:58:48	bwang8	wb	[bwang8 changed the text to: N=4 # of Squares: 10 #of Sticks: 28 N=5 #of squares:15 #of sticks: 40 N=6 #of squares:21 #of sticks:54 ]
168	05/09/2006	18:58:58	18:59:02	Aznx	chat	bwang you can edit for all of them.
169	05/09/2006	18:59:04	18:59:12	Aznx	chat	I'm just good that everyone agrees.
	05/09/2006	18:59:12	18:59:14	bwang8		[bwang8 has fully erased the chat message]
170	05/09/2006	18:59:15	18:59:23	Aznx	chat	Aditya, you agree with all of them right?
171	05/09/2006	19:00:17	19:00:35	Gerry	chat	Quicksilver, are you having technical problems with your computer today?
172	05/09/2006	18:56:06	19:00:39	Quicksilver	chat	Well, anyway, you can see a pattern that the amount of squares increases by the n. For the sticks, The bottom row's square on the right has 2 new sticks. All the squares in the new row to the left of it have 3 new sticks. So, If te row has 5 squares, 4 of the squares have 3 sticks, the last on only has two. For the enitre Figure, you would add the amount to the previous ammount
173	05/09/2006	19:01:17	19:01:37	Gerry	chat	OK. I see why it took you a while	[1] Reference to message No. 171 (Text: Quicksilver, are you having technical problems with your computer today? )
174	05/09/2006	19:01:45	19:01:54	Quicksilver	chat	My computer somehow wasn't receiving the messages	[1] Reference to message No. 172 (Text: Well, anyway, you can see a pattern that the amount of squares increases by the n. For the sticks, The bottom row's square on the right has 2 new sticks. All the squares in the new row to the left of it have 3 new sticks. So, If te row has 5 squares, 4 of the squares have 3 sticks, the last on only has two. For the enitre Figure, you would add the amount to the previous ammount )
175	05/09/2006	19:01:55	19:02:01	Quicksilver	chat	and the whitboard isn't showing anything
176	05/09/2006	19:02:14	19:02:25	Aznx	chat	Your Java might not be updated.
177	05/09/2006	19:02:32	19:02:39	Aznx	chat	I have a solution
178	05/09/2006	19:02:31	19:02:42	Quicksilver	chat	And Did you guys really draw a table, because I don't see anything
179	05/09/2006		19:02:42	Quicksilver	chat
180	05/09/2006	19:02:40	19:02:46	Aznx	chat	I can send in screenshots
181	05/09/2006	19:02:49	19:02:53	Aznx	chat	and put the link of them here
182	05/09/2006	19:03:06	19:03:13	Quicksilver	chat	I can't even see some of the messages I send
183	05/09/2006	19:03:21	19:03:22	Aznx	chat	hold on
184	05/09/2006	19:03:23	19:03:28	Aznx	chat	lemme make a screenshot
185	05/09/2006	19:03:47	19:03:48	Aznx	chat	darn
186	05/09/2006	19:03:48	19:03:51	Aznx	chat	i dont have paint
187	05/09/2006	19:03:55	19:04:00	Aznx	chat	bwang can you do it for aditya?
	05/09/2006		19:04:05	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		19:04:10	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		19:04:11	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		19:04:13	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		19:04:15	bwang8	wb	[bwang8 resized some objects ]
	05/09/2006		19:04:15	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		19:04:16	bwang8	wb	[bwang8 deleted some object/s ]
	05/09/2006		19:04:17	bwang8	wb	[bwang8 deleted some object/s ]
188	05/09/2006	19:04:17	19:04:19	Quicksilver	chat	Do waht?
	05/09/2006	19:04:08	19:04:23	Aznx		[Aznx has fully erased the chat message]
189	05/09/2006	19:04:24	19:04:25	bwang8	chat	ok
190	05/09/2006		19:04:25	jsarmi	joins	joins the room
191	05/09/2006	19:04:23	19:04:27	Aznx	chat	make a screenshot for you
192	05/09/2006	19:04:28	19:04:32	Aznx	chat	so you can see the table
193	05/09/2006	19:04:35	19:04:43	Gerry	chat	Maybe we should stop for today
194	05/09/2006	19:04:46	19:04:48	Aznx	chat	Alright.
195	05/09/2006	19:04:38	19:04:50	jsarmi	chat	Quicksilver... why don't you go ahead and close this window and try to enter again
196	05/09/2006	19:04:44	19:05:10	Gerry	chat	and let jsarmi help Quicksilver get ready to Thursday
197	05/09/2006	19:04:57	19:05:27	jsarmi	chat	(BTW, this room will now show up in the "My Rooms" tab not on the "Limited Access" one)	[1] Reference to message No. 195 (Text: Quicksilver... why don't you go ahead and close this window and try to enter again )
	05/09/2006		19:05:38	bwang8	wb	[bwang8 created a image ]
198	05/09/2006		19:05:43	Quicksilver	leaves	leaves the room
199	05/09/2006	19:05:21	19:05:48	Gerry	chat	You made a lot of progress already.
	05/09/2006	19:05:48	19:05:50	bwang8		[bwang8 has fully erased the chat message]
200	05/09/2006	19:05:47	19:05:53	Aznx	chat	So do we leave?
201	05/09/2006	19:05:50	19:05:58	bwang8	chat	this is the screenshot
202	05/09/2006	19:05:57	19:06:01	Aznx	chat	And when do we come back?
	05/09/2006		19:06:05	bwang8	wb	[bwang8 moved some object/s ]
203	05/09/2006		19:06:08	Quicksilver	joins	joins the room
204	05/09/2006	19:06:29	19:06:32	Quicksilver	chat	That"S better
205	05/09/2006	19:06:28	19:06:35	jsarmi	chat	Any better, Quicksilver?
206	05/09/2006	19:06:39	19:06:39	Quicksilver	chat	yes
207	05/09/2006	19:06:39	19:06:41	jsarmi	chat	awesome	[1] Reference to message No. 204 (Text: That"S better )
	05/09/2006		19:06:44	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/09/2006		19:06:47	Quicksilver	wb	[Quicksilver moved some object/s ]
208	05/09/2006	19:06:15	19:06:51	Gerry	chat	I think we will have the next session at the same time on Thursday. You will come into the same room and start where you left off today	[1] Reference to message No. 202 (Text: And when do we come back? )
209	05/09/2006	19:06:58	19:07:06	jsarmi	chat	that's correct... same time, same team, same room	[1] Reference to message No. 208 (Text: I think we will have the next session at the same time on Thursday. You will come into the same room and start where you left off today )
	05/09/2006	19:07:03	19:07:10	bwang8		[bwang8 has fully erased the chat message]
210	05/09/2006	19:07:11	19:07:12	bwang8	chat	ok
211	05/09/2006	19:07:06	19:07:15	Quicksilver	chat	I have a dentis't appointment...I don't think I can come
212	05/09/2006	19:07:04	19:07:16	Aznx	chat	Same time on Thursay...got it!
213	05/09/2006	19:07:16	19:07:37	bwang8	chat	but aren't we done now with this problem
214	05/09/2006	19:07:46	19:07:47	Aznx	chat	Yeah
215	05/09/2006	19:07:48	19:07:56	Aznx	chat	So I guess we would start on the second problem?
216	05/09/2006	19:08:04	19:08:05	bwang8	chat	ok
	05/09/2006	19:07:58	19:08:10	Aznx		[Aznx has fully erased the chat message]
	05/09/2006	19:08:12	19:08:15	jsarmi		[jsarmi has fully erased the chat message]
217	05/09/2006	19:08:05	19:08:16	Quicksilver	chat	Did you guys discuss the problem like it said to?
218	05/09/2006	19:08:20	19:08:21	Aznx	chat	Yeah.
219	05/09/2006	19:08:17	19:08:22	Quicksilver	chat	i didn't get half the messages'
220	05/09/2006	19:08:22	19:08:24	Quicksilver	chat	so i dont know
221	05/09/2006	19:08:21	19:08:25	bwang8	chat	yeah
222	05/09/2006	19:08:29	19:08:32	Quicksilver	chat	well thats good
223	05/09/2006	19:08:28	19:08:40	jsarmi	chat	I will send you instructions on how to catch up, Quicksilver	[1] Reference to message No. 220 (Text: so i dont know )
224	05/09/2006	19:08:13	19:08:44	Gerry	chat	Do you want to all come back two hours earlier on Thursday so Quicksilver does not have to miss it?
225	05/09/2006	19:08:45	19:08:49	Quicksilver	chat	by email?
226	05/09/2006	19:08:50	19:08:55	Quicksilver	chat	We still ahve school
227	05/09/2006	19:09:00	19:09:01	Quicksilver	chat	until 3
228	05/09/2006	19:09:02	19:09:03	jsarmi	chat	right	[1] Reference to message No. 225 (Text: by email? )
	05/09/2006	19:08:56	19:09:10	Aznx		[Aznx has fully erased the chat message]
229	05/09/2006	19:09:31	19:09:36	Aznx	chat	Yeah, Aditya's right.
230	05/09/2006	19:09:31	19:09:45	Quicksilver	chat	Can we just reschedule for wednesday or something?
231	05/09/2006	19:10:41	19:11:03	jsarmi	chat	If it works out for everyone, you could re-schedule... is that an option?	[1] Reference to message No. 230 (Text: Can we just reschedule for wednesday or something? )
232	05/09/2006	19:11:14	19:11:23	Aznx	chat	Wednesday should work for me.
	05/09/2006	19:11:19	19:11:28	Quicksilver		[Quicksilver has fully erased the chat message]
233	05/09/2006	19:11:29	19:11:31	Quicksilver	chat	it works for me
	05/09/2006	19:11:39	19:11:40	Aznx		[Aznx has fully erased the chat message]
234	05/09/2006	19:11:40	19:11:43	Aznx	chat	bwang?
235	05/09/2006	19:11:49	19:11:50	bwang8	chat	yes
	05/09/2006	19:11:52	19:11:53	Aznx		[Aznx has fully erased the chat message]
	05/09/2006	19:11:53	19:11:56	Aznx		[Aznx has fully erased the chat message]
236	05/09/2006	19:11:54	19:11:59	Quicksilver	chat	So this time tomorrow then
237	05/09/2006	19:12:06	19:12:11	Quicksilver	chat	in place of thursdays
	05/09/2006	19:12:06	19:12:12	Aznx		[Aznx has fully erased the chat message]
238	05/09/2006	19:11:53	19:12:14	bwang8	chat	wednesday, 6-7 central?
	05/09/2006	19:12:27	19:12:29	Quicksilver		[Quicksilver has fully erased the chat message]
239	05/09/2006	19:12:30	19:12:34	Aznx	chat	Same time as today.
	05/09/2006	19:12:30	19:12:36	Quicksilver		[Quicksilver has fully erased the chat message]
240	05/09/2006	19:12:38	19:12:38	Quicksilver	chat	Yeah
241	05/09/2006	19:12:44	19:12:44	bwang8	chat	ok
242	05/09/2006	19:12:35	19:12:45	Aznx	chat	Except it's Wednesday instead of Thursday.
	05/09/2006	19:12:47	19:12:51	bwang8		[bwang8 has fully erased the chat message]
243	05/09/2006	19:12:59	19:13:00	Quicksilver	chat	Great
244	05/09/2006	19:12:52	19:13:06	bwang8	chat	is it just for us, or does it apply to all team
	05/09/2006	19:13:08	19:13:09	bwang8		[bwang8 has fully erased the chat message]
245	05/09/2006	19:13:09	19:13:10	bwang8	chat	teams
246	05/09/2006	19:13:16	19:13:17	Quicksilver	chat	I think it
247	05/09/2006	19:13:18	19:13:19	Quicksilver	chat	is just us
248	05/09/2006	19:13:17	19:13:20	jsarmi	chat	Just for you!!!	[1] Reference to message No. 244 (Text: is it just for us, or does it apply to all team )
249	05/09/2006	19:13:26	19:13:30	Quicksilver	chat	Thanks for changing it.
	05/09/2006	19:13:32	19:13:35	jsarmi		[jsarmi has fully erased the chat message]
250	05/09/2006	19:13:27	19:13:37	Aznx	chat	So will we start on a new problem?
251	05/09/2006	19:13:36	19:13:43	jsarmi	chat	Is it clear to everyone???
252	05/09/2006	19:13:44	19:13:46	Aznx	chat	Tomorrow?
253	05/09/2006	19:13:47	19:13:48	Quicksilver	chat	Yes.
	05/09/2006	19:13:46	19:13:53	jsarmi		[jsarmi has fully erased the chat message]
	05/09/2006	19:13:57	19:13:58	Aznx		[Aznx has fully erased the chat message]
254	05/09/2006	19:13:59	19:13:59	bwang8	chat	ok
	05/09/2006	19:14:06	19:14:08	Quicksilver		[Quicksilver has fully erased the chat message]
255	05/09/2006	19:13:53	19:14:11	jsarmi	chat	Some of you are on Central time and some of you on Pacific time, so do not get confused... same time as today
	05/09/2006	19:14:07	19:14:15	bwang8		[bwang8 has fully erased the chat message]
256	05/09/2006	19:14:16	19:14:17	bwang8	chat	ok
257	05/09/2006	19:14:08	19:14:25	Quicksilver	chat	Ok. See you tomorrow then.
258	05/09/2006	19:14:21	19:14:30	Aznx	chat	So I guess it's farewell for today?
259	05/09/2006	19:14:29	19:14:33	bwang8	chat	see you all
260	05/09/2006	19:14:34	19:14:34	bwang8	chat	later
261	05/09/2006	19:14:33	19:14:36	Quicksilver	chat	Yup.
262	05/09/2006	19:14:34	19:14:37	Gerry	chat	Farewell
263	05/09/2006	19:14:37	19:14:38	Quicksilver	chat	bye
	05/09/2006	19:14:36	19:14:39	bwang8		[bwang8 has fully erased the chat message]
264	05/09/2006	19:14:39	19:14:39	bwang8	chat	bye
265	05/09/2006		19:14:42	bwang8	leaves	leaves the room
266	05/09/2006		19:14:46	Quicksilver	leaves	leaves the room
267	05/09/2006	19:14:41	19:14:47	Aznx	chat	Bye everyone. =)
268	05/09/2006		19:14:54	Aznx	leaves	leaves the room
269	05/09/2006		19:14:59	Gerry	leaves	leaves the room
270	05/09/2006		19:15:05	jsarmi	leaves	leaves the room
271	05/10/2006		10:00:00	jsarmi	joins	joins the room
272	05/10/2006		10:51:28	jsarmi	leaves	leaves the room
273	05/10/2006		14:14:26	tutor	joins	joins the room
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274	05/10/2006		14:27:23	rtoledosj	joins	joins the room
275	05/10/2006		14:30:27	rtoledosj	leaves	leaves the room
276	05/10/2006		14:32:28	tutor	joins	joins the room
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280	05/10/2006		15:40:59	tutor	leaves	leaves the room
281	05/10/2006		16:23:19	Gerry	joins	joins the room
	05/10/2006		16:23:40	Gerry	wb	[Gerry deleted some object/s ]
	05/10/2006		16:23:50	Gerry	START:TextEditing
	05/10/2006		16:24:40	Gerry	END:TextEditing
	05/10/2006		16:24:40	Gerry	wb	[Gerry created a textbox ]
	05/10/2006		16:24:45	Gerry	wb	[Gerry resized some objects ]
	05/10/2006		16:24:49	Gerry	wb	[Gerry resized some objects ]
	05/10/2006		16:24:54	Gerry	START:TextEditing
	05/10/2006		16:25:21	Gerry	END:TextEditing
	05/10/2006		16:25:21	Gerry	wb	[Gerry changed the text to: VMT Feedback We were very interested in the approach that divided the figure into the horizontal lines and the vertical lines and the quickness with which formulas fell out of that approach. It seemed as though you also were paying attention to each other's work and quickly reached agreement. You handled the technology of the chat environment and the wiki easily. We also noticed two places in the chat where some kinds of conversation did not happen. There was a point where 44 was posted as the number of sticks and 40 was offered as a correction. There was no discussion of how 44 was calculated. At another moment, Quicksilver posted an explanation of the pattern of growth that was not discussed. There was a sense in which you indicated that your work was done when you had at least one answer for the questions in the problem. For the next step we will encourage you to think more about the different approaches and the problems that you can discover on your own and that are interesting to pursue. ]
	05/10/2006		16:25:24	Gerry	wb	[Gerry resized some objects ]
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	05/10/2006		16:26:33	Gerry	wb	[Gerry changed layout ]
282	05/10/2006	16:26:49	16:27:03	Gerry	chat	Here is some feedback on your first session	[1] Reference to whiteboard ()
283	05/10/2006		16:27:15	Gerry	leaves	leaves the room
284	05/10/2006		18:50:16	Gerry	joins	joins the room
285	05/10/2006		18:56:23	Quicksilver	joins	joins the room
286	05/10/2006		18:57:30	Aznx	joins	joins the room
287	05/10/2006	18:58:29	18:58:36	Quicksilver	chat	bwang just left the lobby...
	05/10/2006	18:58:37	18:59:24	Aznx		[Aznx has fully erased the chat message]
288	05/10/2006	18:59:26	18:59:44	Quicksilver	chat	i have a question: i accidentally got this arrow onto my name...how do i take it off?	[1] Reference to message No. 287 (Text: bwang just left the lobby... )
	05/10/2006	19:00:03	19:00:06	Aznx		[Aznx has fully erased the chat message]
289	05/10/2006	19:00:02	19:00:34	Gerry	chat	You cannot remove it once your message is posted. It is used to point to a previous message or part of the whiteboard	[1] Reference to message No. 288 (Text: i have a question: i accidentally got this arrow onto my name...how do i take it off? )
	05/10/2006	19:00:41	19:00:42	Quicksilver		[Quicksilver has fully erased the chat message]
290	05/10/2006	19:00:43	19:00:43	Quicksilver	chat	I know
291	05/10/2006		19:00:46	bwang8	joins	joins the room
292	05/10/2006	19:00:44	19:00:47	Quicksilver	chat	but when i'm typing
293	05/10/2006		19:00:48	Quicksilver	chat
294	05/10/2006	19:00:49	19:00:52	Quicksilver	chat	how do i take it off then?
295	05/10/2006	19:00:51	19:01:07	Gerry	chat	when you are typing, hit the Esc key to get rid of it
296	05/10/2006	19:01:12	19:01:12	Quicksilver	chat	ok
297	05/10/2006		19:01:39	Quicksilver	chat
298	05/10/2006	19:01:34	19:01:41	Gerry	chat	Hi everyone!
	05/10/2006	19:01:40	19:01:45	Quicksilver		[Quicksilver has fully erased the chat message]
299	05/10/2006	19:01:44	19:01:47	bwang8	chat	hello
300	05/10/2006	19:01:46	19:01:54	Quicksilver	chat	Hello!
	05/10/2006		19:01:56	bwang8	wb	[bwang8 moved some object/s ]
301	05/10/2006	19:01:47	19:02:03	Gerry	chat	You have some feedback and a new Topic
	05/10/2006	19:02:00	19:02:04	Aznx		[Aznx has fully erased the chat message]
	05/10/2006	19:02:04	19:02:05	Aznx		[Aznx has fully erased the chat message]
	05/10/2006	19:02:05	19:02:08	Quicksilver		[Quicksilver has fully erased the chat message]
302	05/10/2006	19:02:05	19:02:13	Aznx	chat	Has everyone read the feedback?
303	05/10/2006	19:02:16	19:02:17	Quicksilver	chat	yup
304	05/10/2006	19:02:21	19:02:25	Quicksilver	chat	NOw we have to discuss
305	05/10/2006	19:02:28	19:02:28	bwang8	chat	yes
306	05/10/2006	19:02:34	19:03:01	Quicksilver	chat	Well,, the part about converstaion not happening is because of me
307	05/10/2006	19:03:01	19:03:06	Quicksilver	chat	my computer was lagging....
	05/10/2006	19:03:07	19:03:08	Quicksilver		[Quicksilver has fully erased the chat message]
308	05/10/2006	19:03:08	19:03:12	Quicksilver	chat	but that's out of our hands
309	05/10/2006	19:02:53	19:03:17	Aznx	chat	So, I think we should focus on discussing on each step more.
	05/10/2006	19:03:13	19:03:19	Quicksilver		[Quicksilver has fully erased the chat message]
310	05/10/2006	19:03:23	19:03:30	Quicksilver	chat	and explain every answer thoroughly
311	05/10/2006	19:03:29	19:03:40	Aznx	chat	Even if the answer was "obvious."
312	05/10/2006	19:03:46	19:03:48	bwang8	chat	ok
313	05/10/2006	19:03:31	19:03:49	Quicksilver	chat	like i gave a wrong answer, but my explanations didn't come up on the computer because of the lag
	05/10/2006	19:03:53	19:03:56	Quicksilver		[Quicksilver has fully erased the chat message]
314	05/10/2006	19:03:57	19:03:58	Quicksilver	chat	so thats one thing
315	05/10/2006	19:04:04	19:04:12	Quicksilver	chat	maybe think of more ways of doing the same problem?
316	05/10/2006	19:04:19	19:04:21	Aznx	chat	Yeah.
317	05/10/2006	19:04:23	19:04:35	Aznx	chat	Thinking of more than gneralized idea might help us understand the topic more.
318	05/10/2006	19:04:41	19:04:42	Quicksilver	chat	Yes
319	05/10/2006	19:04:40	19:04:47	bwang8	chat	ok
320	05/10/2006	19:04:45	19:04:50	Quicksilver	chat	Now did you two read today's topic?
321	05/10/2006	19:04:48	19:05:08	bwang8	chat	what was your pattern of growth, quicksiler
322	05/10/2006	19:05:20	19:06:20	Quicksilver	chat	i think it was something about the amount of squares that increased with each row....and how one of the new squares had 3 new sticks while the other new ones had 2 new sticks
	05/10/2006		19:06:37	Quicksilver	wb	[Quicksilver created a line ]
323	05/10/2006	19:06:36	19:06:41	bwang8	chat	oh, ok
	05/10/2006		19:06:41	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:06:43	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:06:47	Quicksilver	wb	[Quicksilver created a line ]
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	05/10/2006		19:06:57	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:06:59	Quicksilver	wb	[Quicksilver created a line ]
324	05/10/2006	19:07:04	19:07:07	Quicksilver	chat	i drew some sqaures
325	05/10/2006	19:07:08	19:07:19	Quicksilver	chat	the left one had three new sticks
326	05/10/2006	19:07:22	19:07:33	Quicksilver	chat	the right one has a new stick on the bottom and on the right
327	05/10/2006	19:07:34	19:07:39	Quicksilver	chat	the top one is from an old square
328	05/10/2006	19:06:57	19:07:40	Gerry	chat	It was at 7:00:39 -- to get the old messages, click on the icon above here with the two circular arrows	[1] Reference to message No. 172 (Text: Well, anyway, you can see a pattern that the amount of squares increases by the n. For the sticks, The bottom row's square on the right has 2 new sticks. All the squares in the new row to the left of it have 3 new sticks. So, If te row has 5 squares, 4 of the squares have 3 sticks, the last on only has two. For the enitre Figure, you would add the amount to the previous ammount )
	05/10/2006		19:07:52	bwang8	wb	[bwang8 moved some object/s ]
	05/10/2006		19:07:58	Quicksilver	wb	[Quicksilver created a line ]
329	05/10/2006	19:08:56	19:09:09	Quicksilver	chat	yea it's at the very top. but i think there ae errors in that paragraph	[1] Reference to message No. 172 (Text: Well, anyway, you can see a pattern that the amount of squares increases by the n. For the sticks, The bottom row's square on the right has 2 new sticks. All the squares in the new row to the left of it have 3 new sticks. So, If te row has 5 squares, 4 of the squares have 3 sticks, the last on only has two. For the enitre Figure, you would add the amount to the previous ammount )
330	05/10/2006	19:09:22	19:09:25	Quicksilver	chat	yea that's wrong
	05/10/2006	19:09:27	19:09:28	Quicksilver		[Quicksilver has fully erased the chat message]
	05/10/2006	19:09:28	19:09:30	bwang8		[bwang8 has fully erased the chat message]
331	05/10/2006	19:09:15	19:09:33	Aznx	chat	So let's brainstorm through some problems that we think are challenging.
	05/10/2006	19:09:28	19:09:37	Quicksilver		[Quicksilver has fully erased the chat message]
	05/10/2006	19:09:32	19:09:39	bwang8		[bwang8 has fully erased the chat message]
332	05/10/2006	19:09:37	19:09:40	Quicksilver	chat	yes...new topic
333	05/10/2006	19:09:42	19:09:42	bwang8	chat	ok
334	05/10/2006	19:10:17	19:10:20	Quicksilver	chat	3-d figures?
	05/10/2006	19:10:17	19:10:29	Aznx		[Aznx has fully erased the chat message]
	05/10/2006	19:10:30	19:10:36	Aznx		[Aznx has fully erased the chat message]
	05/10/2006		19:10:48	Quicksilver	wb	[Quicksilver created a line ]
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	05/10/2006		19:10:59	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:11:02	Quicksilver	wb	[Quicksilver created a line ]
335	05/10/2006	19:10:58	19:11:06	Aznx	chat	I think we should discuss on the different methods.
	05/10/2006	19:10:30	19:11:12	Quicksilver		[Quicksilver has fully erased the chat message]
336	05/10/2006	19:11:10	19:11:24	Aznx	chat	So that we can easily apply our thoughts quickly when seeing a problem.
337	05/10/2006	19:11:13	19:11:30	Quicksilver	chat	Yes....but we must find a question or problem to investigate
	05/10/2006	19:11:25	19:11:35	Aznx		[Aznx has fully erased the chat message]
338	05/10/2006	19:11:36	19:11:37	Aznx	chat	Yeah.
	05/10/2006		19:11:48	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:11:50	Quicksilver	wb	[Quicksilver created a line ]
339	05/10/2006	19:11:40	19:11:50	Aznx	chat	I think we should start off with a conjecture, that we need to prove.
	05/10/2006		19:11:52	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:11:55	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:11:57	Quicksilver	wb	[Quicksilver created a line ]
340	05/10/2006	19:11:56	19:12:03	Aznx	chat	Not a hard one, but one that can be challenging.
341	05/10/2006	19:12:00	19:12:17	Quicksilver	chat	Maybe a row of blocks
342	05/10/2006	19:12:25	19:12:27	Quicksilver	chat	likethis	[1] Reference to whiteboard (LineStuff-1147302659437-22750508)
343	05/10/2006	19:12:39	19:12:44	Aznx	chat	What about them?
344	05/10/2006	19:12:50	19:12:59	Quicksilver	chat	The amount of sticks may increase in a pattern?
345	05/10/2006	19:12:39	19:13:01	bwang8	chat	The problem from yesterday, but only 3-d
346	05/10/2006	19:13:06	19:13:07	Quicksilver	chat	yea i guess
347	05/10/2006	19:13:07	19:13:09	Quicksilver	chat	not that good
	05/10/2006	19:13:06	19:13:14	bwang8		[bwang8 has fully erased the chat message]
348	05/10/2006	19:13:14	19:13:18	Quicksilver	chat	maybe a pyramind
	05/10/2006	19:13:15	19:13:18	bwang8		[bwang8 has fully erased the chat message]
349	05/10/2006	19:13:22	19:13:24	bwang8	chat	yeah
350	05/10/2006	19:13:26	19:13:30	Quicksilver	chat	although that's hard to draw
351	05/10/2006	19:13:28	19:13:35	bwang8	chat	pryamind is good
352	05/10/2006	19:13:32	19:13:36	Aznx	chat	Yeah, I liked that.
353	05/10/2006	19:13:31	19:13:36	Quicksilver	chat	but we shoudl be able to managt
354	05/10/2006	19:13:36	19:13:36	Quicksilver	chat	e
	05/10/2006		19:13:41	Quicksilver	wb	[Quicksilver created a line ]
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355	05/10/2006	19:14:23	19:14:25	Quicksilver	chat	side view	[1] Reference to whiteboard (whiteboardDoc)
356	05/10/2006	19:14:40	19:14:56	bwang8	chat	isn't this the same as yesterday problem
	05/10/2006	19:14:54	19:15:00	Quicksilver		[Quicksilver has fully erased the chat message]
357	05/10/2006	19:15:01	19:15:03	Quicksilver	chat	Really?
	05/10/2006	19:15:08	19:15:09	bwang8		[bwang8 has fully erased the chat message]
358	05/10/2006	19:15:04	19:15:10	Aznx	chat	Except it's 3-D.
359	05/10/2006	19:15:09	19:15:12	Quicksilver	chat	no it's three d
	05/10/2006	19:15:10	19:15:13	bwang8		[bwang8 has fully erased the chat message]
360	05/10/2006	19:15:15	19:15:16	bwang8	chat	ok
361	05/10/2006	19:15:11	19:15:16	Aznx	chat	So there would be more sticks
362	05/10/2006	19:15:17	19:15:19	Aznx	chat	and blocks
363	05/10/2006	19:15:15	19:15:30	Quicksilver	chat	and i was thinking of like 9 bricks on the bottom and 4 in the middle and 1 on top
	05/10/2006	19:16:05	19:16:07	bwang8		[bwang8 has fully erased the chat message]
364	05/10/2006	19:16:36	19:16:45	Aznx	chat	So, how should we approach this?
	05/10/2006	19:16:45	19:16:47	Quicksilver		[Quicksilver has fully erased the chat message]
	05/10/2006	19:16:46	19:16:49	bwang8		[bwang8 has fully erased the chat message]
365	05/10/2006	19:16:48	19:16:54	Aznx	chat	What can we use that we already know?
366	05/10/2006	19:16:51	19:16:57	Quicksilver	chat	Layer by layer shown in a chart?
367	05/10/2006	19:16:49	19:17:01	bwang8	chat	well we can divide it into a front and a back
368	05/10/2006	19:16:55	19:17:02	Aznx	chat	I'd suggest yesterday's problem.
369	05/10/2006	19:17:08	19:17:10	bwang8	chat	yeah
370	05/10/2006	19:17:10	19:17:22	bwang8	chat	using the formula from yesterday's problem
371	05/10/2006	19:17:23	19:17:32	bwang8	chat	we can figure the front and back easily
372	05/10/2006	19:17:35	19:17:36	Quicksilver	chat	this	[1] Reference to whiteboard ()
	05/10/2006	19:17:17	19:17:41	Aznx		[Aznx has fully erased the chat message]
373	05/10/2006	19:17:36	19:17:43	bwang8	chat	we just need to find the center
	05/10/2006		19:17:46	Aznx	START:TextEditing
	05/10/2006		19:17:49	Aznx	END:TextEditing
	05/10/2006		19:18:06	bwang8	wb	[bwang8 created a scribble ]
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	05/10/2006		19:18:13	bwang8	wb	[bwang8 created a scribble ]
374	05/10/2006	19:17:56	19:18:13	Quicksilver	chat	Oh!! Wait...Your thinking of the kind of pyramid that is flat on one whole edge
	05/10/2006		19:18:15	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006	19:18:06	19:18:21	Aznx		[Aznx has fully erased the chat message]
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	05/10/2006		19:18:30	bwang8	wb	[bwang8 created a line ]
375	05/10/2006	19:18:16	19:18:32	Quicksilver	chat	I mean like a real pyramid that each layer is completely centered
	05/10/2006		19:18:33	bwang8	wb	[bwang8 created a line ]
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	05/10/2006		19:18:42	bwang8	wb	[bwang8 created a line ]
376	05/10/2006	19:18:41	19:18:44	Aznx	chat	Draw it.
	05/10/2006		19:18:44	bwang8	wb	[bwang8 created a line ]
377	05/10/2006	19:18:56	19:18:57	Quicksilver	chat	i'll try
	05/10/2006		19:19:07	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:19:11	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:19:14	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:19:17	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:19:21	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:19:24	Quicksilver	wb	[Quicksilver created a line ]
378	05/10/2006	19:19:14	19:19:24	bwang8	chat	use the rectangle tool, it's easier
	05/10/2006		19:19:28	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:19:30	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:19:32	bwang8	wb	[bwang8 created a rectangle ]
379	05/10/2006	19:19:30	19:19:32	Aznx	chat	Yeah.	[1] Reference to message No. 376 (Text: Draw it. )
380	05/10/2006	19:19:32	19:19:33	Quicksilver	chat	k
	05/10/2006		19:19:35	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:19:37	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:19:38	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:19:44	Quicksilver	wb	[Quicksilver created a line ]
381	05/10/2006	19:19:43	19:19:44	bwang8	chat	o ic
	05/10/2006		19:19:46	Quicksilver	wb	[Quicksilver created a line ]
382	05/10/2006	19:19:48	19:19:49	Quicksilver	chat	top view
	05/10/2006		19:19:56	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:19:58	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:20:01	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:20:04	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:20:07	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:20:09	Quicksilver	wb	[Quicksilver created a line ]
383	05/10/2006	19:20:13	19:20:16	Quicksilver	chat	something like that
384	05/10/2006	19:20:16	19:20:19	bwang8	chat	i c what you mean
	05/10/2006	19:20:16	19:20:21	Quicksilver		[Quicksilver has fully erased the chat message]
385	05/10/2006	19:20:22	19:20:27	Quicksilver	chat	do u aznx?
386	05/10/2006	19:20:18	19:20:30	Aznx	chat	Since we're both in Spanish class, are you saying something what the Aztecs made?
387	05/10/2006	19:20:24	19:20:30	bwang8	chat	this prob is kinda hard
388	05/10/2006	19:20:37	19:20:41	Aznx	chat	The pyramid?
389	05/10/2006	19:20:37	19:20:43	Quicksilver	chat	I don't know!!!
390	05/10/2006	19:20:45	19:20:46	Quicksilver	chat	Probably
391	05/10/2006	19:20:47	19:20:49	Aznx	chat	lol
392	05/10/2006	19:20:50	19:20:51	Aznx	chat	I get it.
	05/10/2006	19:20:50	19:20:55	Quicksilver		[Quicksilver has fully erased the chat message]
	05/10/2006		19:21:00	Aznx	wb	[Aznx created a line ]
393	05/10/2006	19:20:55	19:21:02	Quicksilver	chat	Let's go back to original idea: the flat face
	05/10/2006		19:21:03	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:05	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:07	Aznx	wb	[Aznx created a line ]
394	05/10/2006	19:21:03	19:21:08	Quicksilver	chat	then we can try and get this from that
	05/10/2006		19:21:09	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:10	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:13	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:14	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:16	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:17	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:20	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:23	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:25	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:21:36	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:21:42	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:21:44	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006	19:21:35	19:21:45	Aznx		[Aznx has fully erased the chat message]
	05/10/2006		19:21:46	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:21:47	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:21:48	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:21:49	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:21:50	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:21:50	Quicksilver	wb	[Quicksilver deleted some object/s ]
395	05/10/2006	19:21:54	19:22:06	Quicksilver	chat	So we are going back to the flat faced one? Agree?
	05/10/2006		19:22:07	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006	19:22:20	19:22:28	bwang8		[bwang8 has fully erased the chat message]
396	05/10/2006	19:22:33	19:22:39	Aznx	chat	Agree.
397	05/10/2006	19:22:32	19:22:46	bwang8	chat	we can first figure out the bottom level
398	05/10/2006	19:22:25	19:22:49	Quicksilver	chat	In that case, someone should post the problem on the wiki.
399	05/10/2006	19:22:48	19:22:50	bwang8	chat	agree
400	05/10/2006	19:22:56	19:22:59	Quicksilver	chat	Yes
401	05/10/2006	19:23:00	19:23:03	Quicksilver	chat	the amount of sticks
	05/10/2006		19:23:15	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:23:17	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006	19:23:16	19:23:21	Quicksilver		[Quicksilver has fully erased the chat message]
402	05/10/2006	19:23:20	19:23:21	Aznx	chat	How about
	05/10/2006		19:23:29	bwang8	wb	[bwang8 deleted some object/s ]
403	05/10/2006	19:23:23	19:23:34	Quicksilver	chat	How many blocks do we want though?
	05/10/2006		19:23:34	bwang8	wb	[bwang8 deleted some object/s ]
404	05/10/2006	19:23:22	19:23:42	Aznx	chat	Instead of a triangular format of the sticks, we do the one you jsut made: the board format?
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:51	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:51	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:56	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:23:58	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:24:02	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006	19:24:04	19:24:09	Quicksilver		[Quicksilver has fully erased the chat message]
	05/10/2006	19:24:11	19:24:14	Quicksilver		[Quicksilver has fully erased the chat message]
405	05/10/2006	19:24:16	19:24:18	Quicksilver	chat	what do u mean?
	05/10/2006		19:24:20	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:24:27	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:24:30	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:24:32	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:24:34	Aznx	wb	[Aznx created a line ]
	05/10/2006		19:24:36	Aznx	wb	[Aznx created a line ]
406	05/10/2006	19:24:38	19:24:42	Aznx	chat	Look at my arrow.
407	05/10/2006	19:24:42	19:24:42	Quicksilver	chat	ok
408	05/10/2006	19:24:43	19:24:49	Aznx	chat	So you start off with one block.
409	05/10/2006	19:24:48	19:24:52	Quicksilver	chat	And that's a top view right
	05/10/2006	19:24:50	19:24:59	Aznx		[Aznx has fully erased the chat message]
410	05/10/2006	19:24:59	19:25:00	Aznx	chat	Yes.
411	05/10/2006	19:25:02	19:25:04	Quicksilver	chat	Well there's a problem
	05/10/2006		19:25:14	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:25:23	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:25:28	Quicksilver	wb	[Quicksilver created a line ]
412	05/10/2006	19:25:24	19:25:34	Aznx	chat	So, the first one has 1 block.
	05/10/2006		19:25:37	Quicksilver	wb	[Quicksilver created a rectangle ]
413	05/10/2006	19:25:37	19:25:41	Aznx	chat	and four sticks
414	05/10/2006	19:25:46	19:25:48	Quicksilver	chat	first block	[1] Reference to whiteboard (RectangleStuff-1147303512203-252493)
415	05/10/2006	19:25:44	19:25:51	Aznx	chat	The second one has 5 blocks.
416	05/10/2006	19:25:58	19:25:59	Aznx	chat	Wait
417	05/10/2006	19:25:52	19:26:00	Quicksilver	chat	no it is 3
418	05/10/2006	19:26:02	19:26:02	Quicksilver	chat	d
419	05/10/2006	19:26:00	19:26:03	Aznx	chat	You're doing it wrong.
420	05/10/2006	19:26:03	19:26:04	Quicksilver	chat	3d
421	05/10/2006	19:26:09	19:26:12	Aznx	chat	You want to do 3-D?
	05/10/2006	19:26:10	19:26:16	Quicksilver		[Quicksilver has fully erased the chat message]
422	05/10/2006	19:26:21	19:26:27	Quicksilver	chat	Bwang8, what are we doing?
423	05/10/2006	19:26:26	19:26:30	bwang8	chat	?
424	05/10/2006	19:26:34	19:26:41	bwang8	chat	you are trying to find a pattern
	05/10/2006	19:26:43	19:26:44	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	19:26:36	19:26:48	Quicksilver		[Quicksilver has fully erased the chat message]
425	05/10/2006	19:26:47	19:26:53	bwang8	chat	divide them up into levels
426	05/10/2006	19:26:58	19:27:01	Quicksilver	chat	Oh.....
427	05/10/2006	19:27:02	19:27:05	Quicksilver	chat	so that is the bottom level
428	05/10/2006	19:27:06	19:27:06	Quicksilver	chat	I get it
	05/10/2006	19:26:56	19:27:13	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006		19:27:18	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:27:21	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:27:24	Quicksilver	wb	[Quicksilver changed layout ]
	05/10/2006		19:27:26	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:27:30	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:27:32	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:27:32	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:27:34	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:27:35	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:27:35	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:27:39	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:27:39	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:27:42	Quicksilver	wb	[Quicksilver created a rectangle ]
429	05/10/2006	19:27:39	19:27:42	bwang8	chat	oops
430	05/10/2006	19:27:44	19:27:45	bwang8	chat	lol
	05/10/2006		19:27:45	Quicksilver	wb	[Quicksilver deleted some object/s ]
431	05/10/2006	19:27:51	19:27:52	Quicksilver	chat	what?
432	05/10/2006	19:27:48	19:27:55	bwang8	chat	the last level have 9
433	05/10/2006	19:28:06	19:28:07	Quicksilver	chat	yeah
	05/10/2006		19:28:11	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:28:15	Quicksilver	wb	[Quicksilver changed layout ]
	05/10/2006		19:28:20	Quicksilver	wb	[Quicksilver changed layout ]
	05/10/2006		19:28:23	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:28:27	Quicksilver	wb	[Quicksilver changed layout ]
434	05/10/2006	19:28:06	19:28:28	bwang8	chat	so we will just have to figure out how many sticks make up 3 by 3 blocks
	05/10/2006		19:28:34	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:28:52	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:28:58	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:29:02	Quicksilver	wb	[Quicksilver changed layout ]
	05/10/2006		19:29:03	Quicksilver	wb	[Quicksilver created a rectangle ]
435	05/10/2006	19:29:05	19:29:06	Aznx	chat	Yes.
	05/10/2006		19:29:07	Quicksilver	wb	[Quicksilver created a rectangle ]
436	05/10/2006	19:29:07	19:29:15	Aznx	chat	After that, we go up to Nth step.
	05/10/2006	19:29:15	19:29:19	Quicksilver		[Quicksilver has fully erased the chat message]
437	05/10/2006	19:29:20	19:29:20	Quicksilver	chat	Yes
	05/10/2006		19:29:22	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:29:24	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:29:26	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:29:26	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:29:27	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:29:28	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:29:28	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006	19:29:21	19:29:37	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006		19:29:48	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:29:53	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:30:03	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:30:06	Quicksilver	wb	[Quicksilver created a line ]
438	05/10/2006	19:30:00	19:30:07	bwang8	chat	ok, how do we figure that out
	05/10/2006		19:30:12	Quicksilver	wb	[Quicksilver created a line ]
439	05/10/2006	19:30:12	19:30:17	bwang8	chat	3*3 blocks
	05/10/2006		19:30:17	Quicksilver	wb	[Quicksilver created a line ]
440	05/10/2006	19:30:24	19:30:26	Quicksilver	chat	Break it down
441	05/10/2006	19:30:18	19:30:27	Aznx	chat	I'd say look for a pattern.
	05/10/2006		19:30:30	Quicksilver	wb	[Quicksilver created a line ]
442	05/10/2006	19:30:29	19:30:33	Aznx	chat	and yes, break it down.
	05/10/2006		19:30:34	Quicksilver	wb	[Quicksilver created a line ]
443	05/10/2006	19:30:34	19:30:40	Aznx	chat	What other possible ways are there?
444	05/10/2006	19:30:41	19:30:44	Aznx	chat	That we know of?
445	05/10/2006	19:30:45	19:30:52	bwang8	chat	top, middle and bottom
	05/10/2006		19:31:17	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:31:17	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:31:19	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:31:19	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006		19:31:21	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:31:21	Quicksilver	wb	[Quicksilver deleted some object/s ]
446	05/10/2006	19:31:17	19:31:29	bwang8	chat	top and bottom are 3 by 3 squares
447	05/10/2006	19:31:28	19:31:33	Quicksilver	chat	whoops i drew it wrong
448	05/10/2006	19:31:35	19:31:36	Quicksilver	chat	but yes
449	05/10/2006	19:32:15	19:32:27	bwang8	chat	do you mind if i erase some yesterday stuff?
	05/10/2006		19:32:34	bwang8	wb	[bwang8 moved some object/s ]
450	05/10/2006	19:32:31	19:32:34	Quicksilver	chat	yea u can do it
	05/10/2006		19:32:36	bwang8	wb	[bwang8 moved some object/s ]
451	05/10/2006	19:32:33	19:32:36	Aznx	chat	Not at all.
	05/10/2006		19:32:41	bwang8	wb	[bwang8 deleted some object/s ]
452	05/10/2006	19:32:39	19:32:42	Aznx	chat	You can surely do it.
	05/10/2006		19:32:43	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:44	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:45	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:46	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:47	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:49	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:51	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:52	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:54	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:55	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:56	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:57	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:32:58	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:33:00	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:33:01	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:33:02	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:33:05	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:07	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:09	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:12	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:13	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:15	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:18	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:19	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:22	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:24	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:25	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:27	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:30	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:32	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:34	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:36	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:37	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:39	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:40	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:42	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:43	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:45	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:47	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:33:48	bwang8	wb	[bwang8 created a line ]
	05/10/2006	19:33:50	19:33:53	bwang8		[bwang8 has fully erased the chat message]
453	05/10/2006	19:33:54	19:33:57	bwang8	chat	when they combine
454	05/10/2006	19:33:58	19:34:05	bwang8	chat	they make a 3 by 3 square
455	05/10/2006	19:34:08	19:34:08	Quicksilver	chat	yes
456	05/10/2006	19:34:09	19:34:14	Quicksilver	chat	so just count these
457	05/10/2006	19:34:08	19:34:28	bwang8	chat	and the equation for it is 2N(N+1)
458	05/10/2006	19:34:34	19:34:35	bwang8	chat	right?
	05/10/2006		19:34:38	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:34:40	bwang8	wb	[bwang8 deleted some object/s ]
459	05/10/2006	19:34:48	19:34:58	bwang8	chat	N is the level
460	05/10/2006	19:34:55	19:34:59	Quicksilver	chat	I don't know
	05/10/2006	19:34:58	19:35:01	Aznx		[Aznx has fully erased the chat message]
461	05/10/2006	19:35:02	19:35:04	Aznx	chat	Prove it.
462	05/10/2006	19:35:05	19:35:11	Quicksilver	chat	Where did you get it?
463	05/10/2006	19:35:05	19:35:16	Aznx	chat	I'll help you as you go along.
464	05/10/2006	19:35:19	19:35:27	Aznx	chat	I kind of get it, but not clearly.
465	05/10/2006	19:35:11	19:35:27	bwang8	chat	i mean just from the top and bottom 3 by 3 squares
466	05/10/2006	19:35:35	19:35:44	Aznx	chat	Where did the 2 come from?
467	05/10/2006	19:35:38	19:35:54	bwang8	chat	this is 3(3+1)	[1] Reference to whiteboard (whiteboardDoc)
	05/10/2006	19:35:44	19:35:58	Aznx		[Aznx has fully erased the chat message]
468	05/10/2006	19:36:04	19:36:05	Quicksilver	chat	ok
469	05/10/2006	19:36:03	19:36:05	Aznx	chat	Ah.
470	05/10/2006	19:36:05	19:36:07	Quicksilver	chat	i c
471	05/10/2006	19:36:06	19:36:08	Aznx	chat	I get it.
472	05/10/2006	19:36:10	19:36:10	bwang8	chat	ok
473	05/10/2006	19:36:25	19:36:32	bwang8	chat	so now we get the top and bottom
	05/10/2006	19:36:24	19:36:37	Aznx		[Aznx has fully erased the chat message]
474	05/10/2006	19:36:33	19:36:40	bwang8	chat	we need to find the middle
475	05/10/2006	19:37:10	19:37:14	Quicksilver	chat	i don't understand something
476	05/10/2006		19:37:15	Quicksilver	chat
477	05/10/2006		19:37:15	Quicksilver	chat
478	05/10/2006		19:37:15	Quicksilver	chat
479	05/10/2006	19:37:19	19:37:19	Quicksilver	chat	sorry\
480	05/10/2006	19:37:21	19:37:28	Quicksilver	chat	um...what do you mean it is the top and bottom
481	05/10/2006	19:37:36	19:37:37	bwang8	chat	oh
482	05/10/2006	19:37:29	19:37:39	Quicksilver	chat	it is a pyramid with a flat face right
	05/10/2006		19:37:45	Quicksilver	wb	[Quicksilver created a rectangle ]
483	05/10/2006	19:37:39	19:37:47	bwang8	chat	let me explain
	05/10/2006		19:37:50	Quicksilver	wb	[Quicksilver changed layout ]
	05/10/2006		19:37:53	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:37:54	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:37:56	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:37:59	bwang8	wb	[bwang8 created a rectangle ]
	05/10/2006		19:38:01	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:38:05	bwang8	wb	[bwang8 created a rectangle ]
	05/10/2006		19:38:08	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:11	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:15	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:18	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:22	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:25	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:28	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:30	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:32	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:34	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:36	bwang8	wb	[bwang8 created a line ]
	05/10/2006		19:38:38	bwang8	wb	[bwang8 created a line ]
484	05/10/2006	19:38:26	19:38:38	Quicksilver	chat	This face could go againts a wall(this is a top view)	[1] Reference to whiteboard (whiteboardDoc)
485	05/10/2006	19:38:39	19:38:48	bwang8	chat	it is just a way to divide the problem
	05/10/2006		19:38:57	Quicksilver	wb	[Quicksilver changed layout ]
486	05/10/2006	19:39:01	19:39:05	Quicksilver	chat	so the yellow is the top level?
	05/10/2006		19:39:06	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:39:07	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:39:09	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:39:11	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:39:12	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:39:14	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:39:15	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:39:17	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:39:18	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:39:20	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:39:21	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/10/2006		19:39:27	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:39:30	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:39:32	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:39:35	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:39:37	Quicksilver	wb	[Quicksilver created a line ]
487	05/10/2006	19:39:31	19:39:45	bwang8	chat	we are just focusing on the bottommost level
488	05/10/2006	19:39:53	19:39:54	Aznx	chat	Yeah.
489	05/10/2006	19:39:48	19:40:04	bwang8	chat	and all those edges with scribble on it are the top
490	05/10/2006	19:40:05	19:40:18	Quicksilver	chat	So this is against the floor underneath the other two levels	[1] Reference to whiteboard (whiteboardDoc)
	05/10/2006	19:40:16	19:40:33	bwang8		[bwang8 has fully erased the chat message]
491	05/10/2006	19:40:34	19:40:35	bwang8	chat	yes
492	05/10/2006	19:40:38	19:40:43	Quicksilver	chat	ok...continue then
493	05/10/2006	19:40:46	19:41:02	bwang8	chat	all the vertical lines are consider the middle	[1] Reference to whiteboard (whiteboardDoc)
494	05/10/2006	19:41:20	19:41:21	Quicksilver	chat	ok
495	05/10/2006	19:41:25	19:41:32	bwang8	chat	and the rest are the bottom
496	05/10/2006	19:41:35	19:41:48	bwang8	chat	which has the same number of sticks as the top
	05/10/2006		19:42:20	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:42:23	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/10/2006	19:42:27	19:42:34	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	19:42:34	19:42:38	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	19:42:38	19:42:41	bwang8		[bwang8 has fully erased the chat message]
497	05/10/2006	19:42:42	19:42:51	bwang8	chat	my explanation is pretty bad	[1] Reference to message No. 496 (Text: which has the same number of sticks as the top )
498	05/10/2006	19:42:54	19:43:01	bwang8	chat	do you understand?
	05/10/2006	19:43:06	19:43:08	bwang8		[bwang8 has fully erased the chat message]
499	05/10/2006	19:43:06	19:43:12	Quicksilver	chat	enough to go on with the problem
500	05/10/2006	19:43:06	19:43:12	Aznx	chat	I understand it.
501	05/10/2006	19:43:15	19:43:16	bwang8	chat	ok
	05/10/2006		19:43:33	bwang8	START:TextEditing
502	05/10/2006	19:44:22	19:44:27	Aznx	chat	So what should we do next?
503	05/10/2006	19:44:34	19:44:42	Quicksilver	chat	Continue and see if we find any patterns
	05/10/2006	19:44:42	19:44:43	Quicksilver		[Quicksilver has fully erased the chat message]
504	05/10/2006	19:44:35	19:44:47	bwang8	chat	i think i got the equation for the middle sticks	[1] Reference to whiteboard (whiteboardDoc)
	05/10/2006	19:44:48	19:44:50	Quicksilver		[Quicksilver has fully erased the chat message]
505	05/10/2006	19:44:51	19:44:55	Quicksilver	chat	All right...lets see
	05/10/2006		19:45:00	bwang8	END:TextEditing
	05/10/2006		19:45:00	bwang8	wb	[bwang8 created a textbox ]
506	05/10/2006	19:45:17	19:45:43	bwang8	chat	now we know the n by n blocks on the bottom	[1] Reference to whiteboard (whiteboardDoc)
507	05/10/2006	19:45:42	19:45:50	Aznx	chat	Yeah it seems so.
	05/10/2006		19:45:54	bwang8	wb	[bwang8 resized some objects ]
	05/10/2006	19:45:55	19:45:55	Quicksilver		[Quicksilver has fully erased the chat message]
508	05/10/2006	19:45:56	19:45:57	Quicksilver	chat	yes.
509	05/10/2006	19:45:59	19:46:30	bwang8	chat	so we can use recursive equation to figure out n 3d pryamind
	05/10/2006	19:46:31	19:46:32	bwang8		[bwang8 has fully erased the chat message]
510	05/10/2006	19:46:33	19:46:36	bwang8	chat	stick number
511	05/10/2006	19:46:41	19:46:42	bwang8	chat	lol
512	05/10/2006	19:46:43	19:46:48	bwang8	chat	bad grammar
513	05/10/2006	19:46:53	19:46:54	Quicksilver	chat	yea
514	05/10/2006	19:46:56	19:46:57	Quicksilver	chat	w/e
	05/10/2006	19:46:57	19:46:59	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	19:47:05	19:47:07	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006		19:47:54	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:47:58	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:00	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:48:05	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:06	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:08	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:13	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:22	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:24	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:26	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:28	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:32	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:34	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:36	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:48:38	bwang8	wb	[bwang8 deleted some object/s ]
	05/10/2006		19:48:43	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:44	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:47	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:48	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:50	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:51	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:52	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:53	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:55	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:56	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:48:58	bwang8	wb	[bwang8 created a scribble ]
515	05/10/2006	19:48:34	19:48:58	Quicksilver	chat	Ahh... I forgot how to solve that thing...We learned it like two months ago
	05/10/2006		19:49:02	bwang8	wb	[bwang8 moved some object/s ]
	05/10/2006		19:49:07	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:49:08	bwang8	wb	[bwang8 created a scribble ]
516	05/10/2006	19:49:06	19:49:09	Quicksilver	chat	Could someone remind me
	05/10/2006		19:49:09	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:49:10	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:49:12	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:49:13	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:49:15	bwang8	wb	[bwang8 created a scribble ]
	05/10/2006		19:49:21	bwang8	wb	[bwang8 moved some object/s ]
	05/10/2006		19:49:23	bwang8	wb	[bwang8 moved some object/s ]
517	05/10/2006	19:49:36	19:49:50	bwang8	chat	i don't know if this equation is right
518	05/10/2006	19:49:57	19:50:04	Aznx	chat	I don't exactly remember either. :P
519	05/10/2006	19:49:55	19:50:09	bwang8	chat	the top n is the highest
520	05/10/2006	19:50:06	19:50:18	Quicksilver	chat	It goes up by one every time because n=1 rite?
	05/10/2006	19:50:12	19:50:23	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	19:50:26	19:50:29	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	19:50:30	19:50:33	bwang8		[bwang8 has fully erased the chat message]
521	05/10/2006	19:50:33	19:50:38	bwang8	chat	no, n start at 1
522	05/10/2006	19:50:42	19:50:46	Quicksilver	chat	oh yeah!!!
523	05/10/2006	19:50:40	19:50:46	bwang8	chat	this is a recursive function
524	05/10/2006		19:50:46	Quicksilver	chat
	05/10/2006	19:50:56	19:50:57	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	19:50:54	19:50:59	Quicksilver		[Quicksilver has fully erased the chat message]
525	05/10/2006	19:50:58	19:51:26	bwang8	chat	when n=1, plug 1 into the right equation\
	05/10/2006	19:51:21	19:51:32	Quicksilver		[Quicksilver has fully erased the chat message]
526	05/10/2006	19:51:40	19:51:40	Quicksilver	chat	12?
527	05/10/2006	19:51:30	19:51:58	bwang8	chat	when n=2, plug 2 into the right equation and add the equation when n=1
528	05/10/2006	19:52:07	19:52:13	Quicksilver	chat	Oh...so u add the thing that came before
529	05/10/2006	19:52:16	19:52:17	bwang8	chat	yes
	05/10/2006	19:52:21	19:52:22	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	19:52:22	19:52:29	bwang8		[bwang8 has fully erased the chat message]
530	05/10/2006	19:52:29	19:52:31	bwang8	chat	12 is right	[1] Reference to message No. 526 (Text: 12? )
531	05/10/2006	19:52:32	19:52:54	bwang8	chat	since when there is only one cube the number of sticks is 122
532	05/10/2006	19:52:56	19:53:00	bwang8	chat	i mean 12
533	05/10/2006	19:53:03	19:53:04	Quicksilver	chat	lol
534	05/10/2006	19:53:03	19:53:07	Aznx	chat	I get it now.
535	05/10/2006	19:53:08	19:53:09	Aznx	chat	lol
536	05/10/2006	19:53:09	19:53:10	bwang8	chat	ok
537	05/10/2006	19:53:25	19:53:26	bwang8	chat	lol
538	05/10/2006	19:53:27	19:53:39	bwang8	chat	i think we solved the problem, didn't we
539	05/10/2006	19:53:37	19:53:54	Quicksilver	chat	But doesn't each cube have 4 sticks in common with another?
	05/10/2006		19:54:19	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:54:24	Quicksilver	wb	[Quicksilver created a line ]
540	05/10/2006	19:54:22	19:54:24	bwang8	chat	yes
	05/10/2006	19:54:26	19:54:28	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	19:54:29	19:54:29	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006		19:54:30	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:54:33	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:54:36	Quicksilver	wb	[Quicksilver created a line ]
541	05/10/2006	19:54:30	19:54:36	bwang8	chat	on the second level
	05/10/2006		19:54:40	Quicksilver	wb	[Quicksilver created a line ]
542	05/10/2006	19:54:37	19:54:40	bwang8	chat	where n =2
	05/10/2006		19:54:43	Quicksilver	wb	[Quicksilver created a line ]
543	05/10/2006	19:54:46	19:54:49	Quicksilver	chat	no but one the bottom level
544	05/10/2006	19:54:41	19:54:50	bwang8	chat	plug it into the equation
	05/10/2006		19:54:52	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:54:55	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:54:57	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:54:59	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:55:01	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:55:06	Quicksilver	wb	[Quicksilver created a line ]
	05/10/2006		19:55:09	Quicksilver	wb	[Quicksilver created a line ]
545	05/10/2006	19:55:14	19:55:35	Quicksilver	chat	the middle ones are common within every two cubes....aren't we overcounting then?
546	05/10/2006	19:55:11	19:55:39	bwang8	chat	and you get 21
547	05/10/2006	19:55:47	19:55:48	bwang8	chat	yes
	05/10/2006	19:55:55	19:55:59	bwang8		[bwang8 has fully erased the chat message]
548	05/10/2006	19:56:04	19:56:12	bwang8	chat	is this the second level?
549	05/10/2006	19:56:18	19:56:20	Quicksilver	chat	on any level
	05/10/2006	19:56:15	19:56:23	bwang8		[bwang8 has fully erased the chat message]
550	05/10/2006	19:56:25	19:56:26	bwang8	chat	yes
551	05/10/2006	19:56:27	19:56:39	bwang8	chat	you only need to know the nth level
	05/10/2006	19:56:51	19:56:52	Quicksilver		[Quicksilver has fully erased the chat message]
552	05/10/2006	19:56:52	19:56:53	Quicksilver	chat	ok	[1] Reference to whiteboard ()
	05/10/2006	19:56:56	19:56:58	Quicksilver		[Quicksilver has fully erased the chat message]
553	05/10/2006	19:56:49	19:57:01	bwang8	chat	plug the level number into the right side equation
554	05/10/2006	19:57:01	19:57:03	Quicksilver	chat	sorry about that
555	05/10/2006	19:57:10	19:57:11	Quicksilver	chat	yea
556	05/10/2006	19:57:11	19:57:12	Quicksilver	chat	i get it
557	05/10/2006	19:57:02	19:57:19	bwang8	chat	and you can get the number of sticks needed to make that level
558	05/10/2006	19:57:21	19:57:21	bwang8	chat	ok
559	05/10/2006	19:57:36	19:57:39	bwang8	chat	no problem
560	05/10/2006	19:57:39	19:57:45	Quicksilver	chat	so we have to go to the wiki now
561	05/10/2006	19:58:01	19:58:24	bwang8	chat	does anyone know who to but a calculas? equation into wiki
	05/10/2006	19:58:25	19:58:29	Aznx		[Aznx has fully erased the chat message]
562	05/10/2006	19:58:36	19:58:36	bwang8	chat	how	[1] Reference to message No. 561 (Text: does anyone know who to but a calculas? equation into wiki )
563	05/10/2006	19:58:42	19:58:43	bwang8	chat	put	[1] Reference to message No. 561 (Text: does anyone know who to but a calculas? equation into wiki )
564	05/10/2006	19:58:48	19:58:50	Aznx	chat	i dont know
565	05/10/2006	19:58:54	19:58:55	Quicksilver	chat	ask gerry
566	05/10/2006	19:58:58	19:59:01	bwang8	chat	Gerry
	05/10/2006	19:58:53	19:59:02	Aznx		[Aznx has fully erased the chat message]
567	05/10/2006	19:59:07	19:59:12	bwang8	chat	are you there?
568	05/10/2006	19:59:16	19:59:17	Aznx	chat	He's there.
569	05/10/2006	19:59:18	19:59:20	Aznx	chat	He's typing.
570	05/10/2006	19:59:09	19:59:21	Gerry	chat	Can u use words
571	05/10/2006	19:59:20	19:59:21	bwang8	chat	k
	05/10/2006	19:59:39	19:59:44	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	19:59:44	19:59:45	Quicksilver		[Quicksilver has fully erased the chat message]
	05/10/2006	19:59:45	19:59:47	Quicksilver		[Quicksilver has fully erased the chat message]
572	05/10/2006	19:59:26	19:59:49	Gerry	chat	Like Sum[Sticks(N-1)]	[1] Reference to message No. 570 (Text: Can u use words )
573	05/10/2006	19:59:57	19:59:58	Quicksilver	chat	Ok
574	05/10/2006	20:00:47	20:00:55	bwang8	chat	how would we put it then?
	05/10/2006	20:00:58	20:01:00	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	20:00:43	20:01:01	Quicksilver		[Quicksilver has fully erased the chat message]
	05/10/2006	20:01:00	20:01:03	bwang8		[bwang8 has fully erased the chat message]
575	05/10/2006	20:01:01	20:01:03	Quicksilver	chat	so our equation
	05/10/2006	20:01:04	20:01:06	bwang8		[bwang8 has fully erased the chat message]
576	05/10/2006	20:01:04	20:01:11	Quicksilver	chat	no first lets state our problem
577	05/10/2006	20:01:21	20:01:49	bwang8	chat	The number of sticks to make a N level pryamind
578	05/10/2006	20:02:03	20:02:04	bwang8	chat	?
579	05/10/2006	20:02:10	20:02:17	Aznx	chat	Yeah, that's our question.
	05/10/2006	20:02:08	20:02:22	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	20:01:28	20:02:51	Quicksilver		[Quicksilver has fully erased the chat message]
580	05/10/2006	20:02:55	20:02:56	Quicksilver	chat	Err...
581	05/10/2006	20:02:56	20:03:03	Quicksilver	chat	I kind of put somethingt different
582	05/10/2006		20:03:04	Quicksilver	chat
583	05/10/2006	20:03:07	20:03:09	Quicksilver	chat	But it's similar
584	05/10/2006	20:03:20	20:03:24	Aznx	chat	Wait, do we all have to put it in?
585	05/10/2006	20:03:27	20:03:30	Aznx	chat	Only one of us right?
586	05/10/2006	20:03:37	20:03:39	Quicksilver	chat	ok its fixed
587	05/10/2006	20:03:40	20:03:47	Quicksilver	chat	i had 3 levels but i changed it to n
588	05/10/2006	20:03:52	20:03:52	bwang8	chat	ok
589	05/10/2006	20:03:55	20:03:55	Quicksilver	chat	yeah
	05/10/2006	20:03:53	20:03:58	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	20:03:59	20:03:59	Quicksilver		[Quicksilver has fully erased the chat message]
590	05/10/2006	20:03:58	20:04:00	bwang8	chat	it is great
591	05/10/2006	20:04:00	20:04:03	Quicksilver	chat	you guys can add on
592	05/10/2006	20:04:04	20:04:08	Quicksilver	chat	i just put the basic
593	05/10/2006	20:04:15	20:04:20	Quicksilver	chat	Maybe share our results?
	05/10/2006	20:04:29	20:04:37	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	20:04:38	20:04:40	bwang8		[bwang8 has fully erased the chat message]
594	05/10/2006	20:04:47	20:04:53	Aznx	chat	We technically had the same result.
595	05/10/2006	20:05:01	20:05:07	Quicksilver	chat	Whaddya mean?
596	05/10/2006	20:05:18	20:05:21	Quicksilver	chat	oh as yesterday?
	05/10/2006	20:05:15	20:05:26	Aznx		[Aznx has fully erased the chat message]
597	05/10/2006	20:05:29	20:05:31	Aznx	chat	Yeah.
	05/10/2006	20:04:41	20:05:34	bwang8		[bwang8 has fully erased the chat message]
598	05/10/2006	20:05:34	20:05:36	Aznx	chat	And today.
599	05/10/2006	20:05:38	20:05:40	Quicksilver	chat	Still...
600	05/10/2006	20:05:37	20:05:43	Aznx	chat	Well today was really a discussion.
601	05/10/2006	20:05:40	20:05:46	Quicksilver	chat	we should say that'
602	05/10/2006	20:05:46	20:05:52	Aznx	chat	Not finding an answer, although we did. =P
603	05/10/2006	20:06:00	20:06:01	Aznx	chat	Say what?
	05/10/2006	20:06:00	20:06:03	bwang8		[bwang8 has fully erased the chat message]
604	05/10/2006	20:05:58	20:06:09	Quicksilver	chat	bwang what do you say we add to the wiki?
	05/10/2006	20:06:10	20:06:11	Quicksilver		[Quicksilver has fully erased the chat message]
605	05/10/2006	20:06:12	20:06:21	Quicksilver	chat	we should say we got the same answer	[1] Reference to message No. 603 (Text: Say what? )
606	05/10/2006	20:06:27	20:06:30	Aznx	chat	Yeah.
607	05/10/2006	20:06:24	20:06:39	Quicksilver	chat	That may mean these types of problems all are similar in one way
608	05/10/2006	20:06:16	20:06:39	bwang8	chat	maybe add that the previous level is 1 more in dimension than the next level
	05/10/2006	20:06:39	20:06:42	Quicksilver		[Quicksilver has fully erased the chat message]
	05/10/2006	20:06:44	20:06:46	Quicksilver		[Quicksilver has fully erased the chat message]
609	05/10/2006	20:06:51	20:06:55	Aznx	chat	Wait, who is submitting?
610	05/10/2006	20:06:56	20:06:57	Aznx	chat	bwang?
611	05/10/2006	20:06:43	20:06:59	bwang8	chat	tell them the intervals between levels
612	05/10/2006	20:06:59	20:07:06	Aznx	chat	or quicksilver, or me?
613	05/10/2006	20:07:02	20:07:08	bwang8	chat	sorry, i am bad with words
	05/10/2006	20:07:04	20:07:12	Quicksilver		[Quicksilver has fully erased the chat message]
614	05/10/2006	20:07:13	20:07:14	Quicksilver	chat	So am i
615	05/10/2006	20:07:13	20:07:15	Aznx	chat	Not to worry.
616	05/10/2006	20:07:17	20:07:21	Aznx	chat	We should write it out
617	05/10/2006	20:07:21	20:07:22	Aznx	chat	here
618	05/10/2006	20:07:18	20:07:24	Quicksilver	chat	Aznx to the rescue lol
619	05/10/2006	20:07:24	20:07:26	Aznx	chat	Together
	05/10/2006	20:07:27	20:07:28	bwang8		[bwang8 has fully erased the chat message]
620	05/10/2006	20:07:29	20:07:30	Quicksilver	chat	sure
621	05/10/2006	20:07:28	20:07:30	Aznx	chat	No not that
	05/10/2006	20:07:31	20:07:34	bwang8		[bwang8 has fully erased the chat message]
622	05/10/2006	20:07:32	20:07:34	Quicksilver	chat	a conclusion
623	05/10/2006	20:07:33	20:07:34	Aznx	chat	Yeah lol
624	05/10/2006	20:07:34	20:07:36	bwang8	chat	yeah
625	05/10/2006	20:07:44	20:07:51	Aznx	chat	So first, we started off with the basic problem.
626	05/10/2006	20:07:52	20:07:57	Aznx	chat	and changed it to a 3-D problem
627	05/10/2006	20:07:59	20:08:02	Aznx	chat	to make it more challenging
628	05/10/2006	20:08:03	20:08:04	Quicksilver	chat	Yea
629	05/10/2006	20:08:03	20:08:22	Aznx	chat	then we divided the top, bottom, and middle area down, to make the problem simpler for us
630	05/10/2006	20:08:27	20:08:42	Aznx	chat	Then, we recognized the 2N(N+1) pattern in the middle area
631	05/10/2006	20:08:37	20:08:44	Quicksilver	chat	That was one strategy\
632	05/10/2006	20:08:49	20:08:54	Aznx	chat	that's our second: finding a pattern
633	05/10/2006	20:08:52	20:08:55	Quicksilver	chat	dividing it	[1] Reference to message No. 631 (Text: That was one strategy\ )
634	05/10/2006	20:08:58	20:08:59	Quicksilver	chat	yes
	05/10/2006	20:08:50	20:09:00	bwang8		[bwang8 has fully erased the chat message]
635	05/10/2006	20:08:55	20:09:07	Aznx	chat	Finally, we used the recursion method to figure out the obttom area,
	05/10/2006	20:09:11	20:09:12	Aznx		[Aznx has fully erased the chat message]
	05/10/2006	20:09:04	20:09:13	bwang8		[bwang8 has fully erased the chat message]
636	05/10/2006	20:09:14	20:09:15	Quicksilver	chat	obttom?
637	05/10/2006		20:09:16	bwang8	chat		[1] Reference to message No. 630 (Text: Then, we recognized the 2N(N+1) pattern in the middle area )
638	05/10/2006	20:09:12	20:09:19	Aznx	chat	So that's three strategies right there.
639	05/10/2006	20:09:30	20:09:32	Aznx	chat	I meant bottom
	05/10/2006	20:09:18	20:09:34	Quicksilver		[Quicksilver has fully erased the chat message]
640	05/10/2006	20:09:35	20:09:37	Quicksilver	chat	oh!!
641	05/10/2006	20:09:38	20:09:41	Quicksilver	chat	ha i should have gotten ikt
	05/10/2006	20:09:42	20:09:47	Aznx		[Aznx has fully erased the chat message]
642	05/10/2006	20:09:48	20:09:50	Aznx	chat	ikt? lol
	05/10/2006	20:09:50	20:09:54	Quicksilver		[Quicksilver has fully erased the chat message]
643	05/10/2006	20:09:55	20:09:55	Quicksilver	chat	it
644	05/10/2006	20:09:58	20:09:58	Aznx	chat	i know
645	05/10/2006	20:09:58	20:10:01	Aznx	chat	i was joking =P
646	05/10/2006	20:09:58	20:10:06	Quicksilver	chat	anyway...how do we put this on the wiki
647	05/10/2006	20:09:59	20:10:07	bwang8	chat	are we putting these on wiki
648	05/10/2006	20:10:11	20:10:12	Aznx	chat	Yes.
	05/10/2006	20:10:13	20:10:15	Aznx		[Aznx has fully erased the chat message]
	05/10/2006	20:10:09	20:10:18	bwang8		[bwang8 has fully erased the chat message]
649	05/10/2006	20:10:19	20:10:19	bwang8	chat	ok
650	05/10/2006	20:10:16	20:10:32	Aznx	chat	I think bwang should put it in, since he's more familiar with the recursion method and how to use it than we are,
651	05/10/2006	20:10:34	20:10:36	Aznx	chat	Agreed?
652	05/10/2006	20:10:34	20:10:51	Quicksilver	chat	Today's topic siad go to the wiki and share the most intersting math problems that your group chose to work on
653	05/10/2006	20:10:58	20:10:59	Quicksilver	chat	agreed
654	05/10/2006	20:11:10	20:11:15	Quicksilver	chat	but we do understand it now
655	05/10/2006	20:11:15	20:11:18	Quicksilver	chat	that's important
656	05/10/2006	20:11:08	20:11:28	Aznx	chat	Well, we should just say we wanted to explore yesterday's problem more.
657	05/10/2006	20:11:21	20:11:29	Quicksilver	chat	maybe we can apply it next time...who knows?
658	05/10/2006	20:11:30	20:11:32	Aznx	chat	Yes, we do.
659	05/10/2006	20:11:28	20:11:32	bwang8	chat	ok
660	05/10/2006	20:11:41	20:12:06	bwang8	chat	we can use the strategy we used to solve this problem to solve future problems
	05/10/2006	20:12:13	20:12:15	bwang8		[bwang8 has fully erased the chat message]
	05/10/2006	20:12:24	20:12:26	bwang8		[bwang8 has fully erased the chat message]
661	05/10/2006	20:12:26	20:12:31	bwang8	chat	the method is important
662	05/10/2006	20:12:32	20:12:36	bwang8	chat	not the answer
663	05/10/2006	20:12:47	20:12:48	Aznx	chat	Yup.
664	05/10/2006	20:12:46	20:12:49	Quicksilver	chat	definiteyly
665	05/10/2006	20:12:48	20:12:56	Aznx	chat	Always learned that whereever I learned math. =P
666	05/10/2006	20:12:40	20:13:05	bwang8	chat	we learn that divide the problem up can make it simpler and easier to solve
667	05/10/2006	20:13:02	20:13:09	Quicksilver	chat	so bwang...are you updating the wiki?
668	05/10/2006	20:13:14	20:13:14	Quicksilver	chat	yea
669	05/10/2006	20:13:09	20:13:21	Aznx	chat	we also learned finding a pattern is a good step
670	05/10/2006	20:13:26	20:13:39	Quicksilver	chat	yes and we could have also started with a simpler problem
671	05/10/2006	20:13:40	20:13:42	Quicksilver	chat	in fact...we did
672	05/10/2006	20:13:22	20:13:43	Aznx	chat	and recursion can be usually used when solving for a pattern, after finding the designated pattern of course
673	05/10/2006	20:13:43	20:13:48	Quicksilver	chat	yesterday's problem was simpler
674	05/10/2006	20:13:50	20:13:52	Aznx	chat	yes, we did!
	05/10/2006	20:13:38	20:13:56	bwang8		[bwang8 has fully erased the chat message]
675	05/10/2006	20:13:53	20:14:00	Aznx	chat	so we actually used 4 strategies =D
676	05/10/2006	20:14:11	20:14:12	Quicksilver	chat	yes
677	05/10/2006	20:14:20	20:14:34	Aznx	chat	We also tried to look at the problem from different views, although it's not really a strategy.
678	05/10/2006	20:14:37	20:14:57	Aznx	chat	It gave us quite a few clues that it will be similar in many ways to yesterday's problem.
679	05/10/2006	20:15:12	20:15:13	Quicksilver	chat	mmhmm
	05/10/2006	20:15:27	20:15:27	Quicksilver		[Quicksilver has fully erased the chat message]
680	05/10/2006	20:15:27	20:15:32	Quicksilver	chat	we related it to something we knew
681	05/10/2006	20:15:21	20:15:46	Gerry	chat	So, can you all come back here at the same time next Tuesday?
	05/10/2006	20:15:45	20:15:49	Quicksilver		[Quicksilver has fully erased the chat message]
682	05/10/2006	20:15:50	20:15:51	Quicksilver	chat	yes
	05/10/2006	20:15:52	20:15:56	Quicksilver		[Quicksilver has fully erased the chat message]
683	05/10/2006	20:16:13	20:16:13	Aznx	chat	Yes.
684	05/10/2006	20:16:11	20:16:15	bwang8	chat	next tuesday?
	05/10/2006	20:16:17	20:16:20	bwang8		[bwang8 has fully erased the chat message]
685	05/10/2006	20:16:20	20:16:28	bwang8	chat	don't we have a session this firday?
686	05/10/2006	20:16:37	20:16:37	Quicksilver	chat	no
687	05/10/2006	20:16:45	20:16:57	Gerry	chat	no, we did it today instead of Thursday	[1] Reference to message No. 685 (Text: don't we have a session this firday? )
688	05/10/2006	20:17:15	20:17:15	bwang8	chat	o
	05/10/2006	20:17:25	20:17:28	bwang8		[bwang8 has fully erased the chat message]
689	05/10/2006	20:17:10	20:17:44	Gerry	chat	Then we should do it again next Tuesday and next Thursday at the same time	[1] Reference to message No. 687 (Text: no, we did it today instead of Thursday )
690	05/10/2006	20:17:51	20:17:58	Quicksilver	chat	Yea...too bad there are only two more days
691	05/10/2006	20:17:59	20:18:04	Quicksilver	chat	this is very fun
692	05/10/2006	20:18:08	20:18:13	Aznx	chat	Only two more days??!!!
693	05/10/2006	20:18:13	20:18:15	bwang8	chat	oh
694	05/10/2006	20:18:17	20:18:17	bwang8	chat	ok
	05/10/2006	20:18:19	20:18:21	bwang8		[bwang8 has fully erased the chat message]
695	05/10/2006	20:18:25	20:18:29	bwang8	chat	this is great
696	05/10/2006	20:18:32	20:18:36	Aznx	chat	Yeah, I personally love it.
697	05/10/2006	20:18:24	20:18:41	Gerry	chat	We can talk about doing more after next week	[1] Reference to message No. 690 (Text: Yea...too bad there are only two more days )
698	05/10/2006	20:18:40	20:18:41	Quicksilver	chat	same
	05/10/2006	20:18:41	20:18:43	Quicksilver		[Quicksilver has fully erased the chat message]
699	05/10/2006	20:18:46	20:18:46	Quicksilver	chat	ok
700	05/10/2006	20:18:47	20:18:47	Aznx	chat	Ok.
701	05/10/2006	20:18:49	20:18:54	Aznx	chat	Farewell for now I guess?
702	05/10/2006	20:18:54	20:19:04	Quicksilver	chat	But for today I guess we are done
703	05/10/2006	20:19:16	20:19:20	Quicksilver	chat	I'll just update the wiki a bit more
704	05/10/2006	20:19:00	20:19:22	Gerry	chat	If anything comes up, you can come back in this room and send an email
705	05/10/2006	20:19:32	20:19:50	Gerry	chat	The Send Mail button next to the View Topic button lets you do that	[1] Reference to message No. 704 (Text: If anything comes up, you can come back in this room and send an email )
706	05/10/2006	20:20:14	20:20:14	bwang8	chat	ok	[1] Reference to message No. 695 (Text: this is great )
	05/10/2006	20:20:03	20:20:18	Aznx		[Aznx has fully erased the chat message]
707	05/10/2006	20:20:19	20:20:20	Aznx	chat	Alright.
708	05/10/2006	20:20:04	20:20:24	Gerry	chat	just check the members box	[1] Reference to message No. 705 (Text: The Send Mail button next to the View Topic button lets you do that )
709	05/10/2006	20:20:32	20:20:33	Quicksilver	chat	ok
710	05/10/2006	20:20:38	20:20:51	Gerry	chat	Have a great weekend and look for patterns in the world
711	05/10/2006	20:20:58	20:20:59	Quicksilver	chat	thanks
712	05/10/2006	20:21:02	20:21:12	Aznx	chat	Thanks, and see you all on Tuesday.
713	05/10/2006	20:21:16	20:21:26	Quicksilver	chat	Ok.....bye all
714	05/10/2006		20:21:34	Gerry	leaves	leaves the room
715	05/10/2006		20:21:36	Aznx	leaves	leaves the room
716	05/10/2006		20:21:38	Quicksilver	leaves	leaves the room
717	05/10/2006	20:21:48	20:21:52	bwang8	chat	check the wiki page
	05/10/2006	20:21:56	20:21:59	bwang8		[bwang8 has fully erased the chat message]
718	05/10/2006		20:22:26	Quicksilver	joins	joins the room
719	05/10/2006		20:22:45	Quicksilver	leaves	leaves the room
720	05/10/2006	20:22:44	20:22:50	bwang8	chat	i can't get any message
721	05/10/2006	20:22:52	20:22:56	bwang8	chat	they are delayed
722	05/10/2006	20:22:56	20:23:01	bwang8	chat	i think i miss some
723	05/10/2006		20:23:38	bwang8	leaves	leaves the room
724	05/11/2006		15:44:25	tutor	joins	joins the room
725	05/11/2006		16:16:06	tutor	leaves	leaves the room
726	05/12/2006		23:21:06	Quicksilver	joins	joins the room
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727	05/12/2006		23:22:04	Quicksilver	leaves	leaves the room
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	05/15/2006		17:06:06	Gerry	wb	[Gerry changed the text to: VMT Feedback on Session #1 We were very interested in the approach that divided the figure into the horizontal lines and the vertical lines and the quickness with which formulas fell out of that approach. It seemed as though you also were paying attention to each other's work and quickly reached agreement. You handled the technology of the chat environment and the wiki easily. We also noticed two places in the chat where some kinds of conversation did not happen. There was a point where 44 was posted as the number of sticks and 40 was offered as a correction. There was no discussion of how 44 was calculated. At another moment, Quicksilver posted an explanation of the pattern of growth that was not discussed. There was a sense in which you indicated that your work was done when you had at least one answer for the questions in the problem. For the next step we will encourage you to think more about the different approaches and the problems that you can discover on your own and that are interesting to pursue. ]
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	05/15/2006		17:45:29	Gerry	START:TextEditing
	05/15/2006		17:45:39	Gerry	END:TextEditing
	05/15/2006		17:45:39	Gerry	wb	[Gerry changed the text to: VMT Feedback on Session #1 We were very interested in the approach that divided the figure into the horizontal lines and the vertical lines and the quickness with which formulas fell out of that approach. It seemed as though you also were paying attention to each other's work and quickly reached agreement. You handled the technology of the chat environment and the wiki easily. We also noticed two places in the chat where some kinds of conversation did not happen. There was a point where 44 was posted as the number of sticks and 40 was offered as a correction. There was no discussion of how 44 was calculated. At another moment, Quicksilver posted an explanation of the pattern of growth that was not discussed. There was a sense in which you indicated that your work was done when you had at least one answer for the questions in the problem. For the next step we will encourage you to think more about the different approaches and the problems that you can discover on your own and that are interesting to pursue. ]
	05/15/2006		17:45:57	Gerry	wb	[Gerry moved some object/s ]
	05/15/2006		17:46:01	Gerry	START:TextEditing
	05/15/2006		17:46:17	Gerry	END:TextEditing
	05/15/2006		17:46:20	Gerry	START:TextEditing
	05/15/2006		17:46:26	Gerry	END:TextEditing
	05/15/2006		17:46:26	Gerry	wb	[Gerry created a textbox ]
	05/15/2006		17:46:34	Gerry	wb	[Gerry deleted some object/s ]
	05/15/2006		17:46:40	Gerry	wb	[Gerry moved some object/s ]
	05/15/2006		17:46:47	Gerry	wb	[Gerry resized some objects ]
	05/15/2006		17:46:55	Gerry	wb	[Gerry resized some objects ]
	05/15/2006		17:46:59	Gerry	wb	[Gerry resized some objects ]
	05/15/2006		17:47:02	Gerry	wb	[Gerry resized some objects ]
	05/15/2006		17:47:07	Gerry	wb	[Gerry changed layout ]
	05/15/2006		17:47:24	Gerry	wb	[Gerry resized some objects ]
	05/15/2006		17:47:26	Gerry	wb	[Gerry resized some objects ]
	05/15/2006		17:48:09	Gerry	START:TextEditing
	05/15/2006		17:58:13	Gerry	END:TextEditing
	05/15/2006		17:58:13	Gerry	wb	[Gerry changed the text to: VMT Feedback on Session #2 You can load the old chat messages by clicking on the double arrow icon above the chat scroll bar. You can look through the history of the whiteboard by using the scroll bar all the way on the left (be sure to scroll all the way down to the present in order to draw anything new.) You did a great job of defining a challenging problem and solving it by using a combination of methods that were well suited to the problem. And you shared what you did with the other groups in the wiki. You noticed that stating the problem and making it clear to everyone is a big part of working on a problem. In going to 3-D, you selected a particular kind of pyramid. How would your problem change if you had two flat sides, with each layer in a corner of the layer underneath, so that some cube faces and edges (sticks) were shared between layers? Can you explain your formula for the number of sticks so that someone in a different group can see how you got it by breaking each layer into its top surface, bottom and middle and then counting the horizontal and vertical sticks separately ]
	05/15/2006		17:58:19	Gerry	wb	[Gerry resized some objects ]
	05/15/2006		17:58:31	Gerry	START:TextEditing
	05/15/2006		18:01:06	Gerry	END:TextEditing
	05/15/2006		18:01:06	Gerry	wb	[Gerry changed the text to: VMT Feedback on Session #2 You can load the old chat messages by clicking on the double arrow icon above the chat scroll bar. You can look through the history of the whiteboard by using the scroll bar all the way on the left (be sure to scroll all the way down to the present in order to draw anything new.) You did a great job of defining a challenging problem and solving it by using a combination of methods that were well suited to the problem. And you shared what you did with the other groups in the wiki. You noticed that stating the problem and making it clear to everyone is a big part of working on a problem. In going to 3-D, you selected a particular kind of pyramid. How would your problem change if you had two flat sides, with each layer in a corner of the layer underneath, so that some cube faces and edges (sticks) were shared between layers? Can you explain your formula for the number of sticks so that someone in a different group can see how you got it by breaking each layer into its top surface, bottom and middle and then counting the horizontal and vertical sticks separately? ]
	05/15/2006		18:01:11	Gerry	START:TextEditing
	05/15/2006		18:03:51	Gerry	END:TextEditing
	05/15/2006		18:03:51	Gerry	wb	[Gerry changed the text to: VMT Feedback on Session #2 You can load the old chat messages by clicking on the double arrow icon above the chat scroll bar. You can look through the history of the whiteboard by using the scroll bar all the way on the left (be sure to scroll all the way down to the present in order to draw anything new.) You did a great job of defining a challenging problem and solving it by using a combination of methods that were well suited to the problem. And you shared what you did with the other groups in the wiki. You noticed that stating the problem and making it clear to everyone is a big part of working on a problem. In going to 3-D, you selected a particular kind of pyramid. How would your problem change if you had two flat sides, with each layer in a corner of the layer underneath, so that some cube faces and edges (sticks) were shared between layers? Can you explain your formula for the number of sticks so that someone in a different group can see how you got it by breaking each layer into its top surface, bottom and middle and then counting the horizontal and vertical sticks separately? Do you understand how team C got its formulae for the diamond pattern of squares? What if they had a diamond pattern of diamonds (just rotate the squares 45 degrees)? What shapes make mathematically interesting patterns in 2-D or in 3-D? ]
729	05/15/2006	18:04:37	18:04:58	Gerry	chat	Here is some feedback on your work last session.	[1] Reference to whiteboard ()
	05/15/2006		18:05:30	Gerry	START:TextEditing
	05/15/2006		19:26:04	Gerry	END:TextEditing
730	05/15/2006		19:26:09	Gerry	leaves	leaves the room
731	05/16/2006		11:38:01	Gerry	joins	joins the room
732	05/16/2006		15:26:03	Gerry	leaves	leaves the room
733	05/16/2006		18:35:54	Aznx	joins	joins the room
734	05/16/2006		18:36:27	Gerry	joins	joins the room
735	05/16/2006		18:55:05	Quicksilver	joins	joins the room
736	05/16/2006	19:01:30	19:01:43	Aznx	chat	Did you fnish reading the netire feedback yet? =P
737	05/16/2006		19:03:32	bwang8	joins	joins the room
738	05/16/2006	19:04:00	19:04:09	Gerry	chat	Hi Quicksilver!
739	05/16/2006	19:04:17	19:04:18	Quicksilver	chat	yes
740	05/16/2006	19:04:25	19:04:25	Quicksilver	chat	Hi
741	05/16/2006	19:04:24	19:04:31	Aznx	chat	bwang I suppose you're done as well?
742	05/16/2006	19:04:39	19:04:41	bwang8	chat	yes
743	05/16/2006	19:04:44	19:04:45	Aznx	chat	Alright.
744	05/16/2006	19:04:46	19:04:49	Aznx	chat	What do you think?
745	05/16/2006	19:04:50	19:04:53	Aznx	chat	About the feedback?
746	05/16/2006	19:04:52	19:05:00	Quicksilver	chat	What did it mean by two flat sides?
	05/16/2006	19:05:04	19:05:08	bwang8		[bwang8 has fully erased the chat message]
747	05/16/2006	19:05:00	19:05:12	Quicksilver	chat	How would a pyramid have two flat sides?
748	05/16/2006	19:05:26	19:05:36	Quicksilver	chat	Actually....lets erase some stuff from the whiteboard
	05/16/2006	19:05:28	19:05:40	Aznx		[Aznx has fully erased the chat message]
749	05/16/2006	19:05:41	19:05:42	Aznx	chat	Yeah.
	05/16/2006		19:05:50	bwang8	wb	[bwang8 moved some object/s ]
750	05/16/2006	19:05:44	19:05:51	Aznx	chat	It gets crowded too much every session lol.
	05/16/2006	19:05:48	19:05:55	Quicksilver		[Quicksilver has fully erased the chat message]
751	05/16/2006	19:05:55	19:05:57	Quicksilver	chat	NO!!!
752	05/16/2006	19:05:58	19:06:04	Quicksilver	chat	That was this sessions's comments
753	05/16/2006	19:06:09	19:06:10	bwang8	chat	?
754	05/16/2006	19:06:09	19:06:15	Aznx	chat	Greg can you get it back for us?
	05/16/2006	19:06:09	19:06:17	Quicksilver		[Quicksilver has fully erased the chat message]
755	05/16/2006	19:06:18	19:06:20	Quicksilver	chat	Oh never mind
	05/16/2006	19:06:13	19:06:23	bwang8		[bwang8 has fully erased the chat message]
756	05/16/2006	19:06:21	19:06:24	Quicksilver	chat	you moved it to the side
	05/16/2006	19:06:19	19:06:24	Aznx		[Aznx has fully erased the chat message]
757	05/16/2006	19:06:26	19:06:26	Aznx	chat	Oh
758	05/16/2006	19:06:32	19:06:32	Aznx	chat	Lol
	05/16/2006	19:06:27	19:06:35	Quicksilver		[Quicksilver has fully erased the chat message]
759	05/16/2006	19:06:35	19:06:36	bwang8	chat	yeah
760	05/16/2006	19:06:38	19:06:39	bwang8	chat	lol
	05/16/2006	19:06:35	19:06:42	Quicksilver		[Quicksilver has fully erased the chat message]
761	05/16/2006	19:06:43	19:06:46	Quicksilver	chat	yea i didn't see that
762	05/16/2006	19:06:47	19:06:50	Gerry	chat	lol!
	05/16/2006	19:06:50	19:06:52	Quicksilver		[Quicksilver has fully erased the chat message]
763	05/16/2006	19:07:03	19:07:13	Quicksilver	chat	Oh yeah aznx...his name is gerry not greg
764	05/16/2006	19:07:19	19:07:19	Aznx	chat	Oopsa
765	05/16/2006	19:06:54	19:07:22	Gerry	chat	You can always scroll back in the whiteboard history to see (and copy) something you erased
	05/16/2006		19:07:22	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:23	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:26	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006	19:07:22	19:07:28	Aznx		[Aznx has fully erased the chat message]
	05/16/2006		19:07:29	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:30	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:31	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:32	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:33	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:34	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:35	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:35	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:37	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:38	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:41	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:42	Quicksilver	wb	[Quicksilver deleted some object/s ]
766	05/16/2006	19:07:39	19:07:44	Aznx	chat	What's with the squares?
	05/16/2006		19:07:45	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:07:48	Quicksilver	wb	[Quicksilver deleted some object/s ]
767	05/16/2006	19:07:50	19:07:51	Quicksilver	chat	yeah
	05/16/2006		19:07:58	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:08:00	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:08:01	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:08:01	Quicksilver	wb	[Quicksilver resized some objects ]
	05/16/2006		19:08:01	Quicksilver	wb	[Quicksilver deleted some object/s ]
768	05/16/2006	19:07:53	19:08:03	bwang8	chat	i think that's for each black board action
769	05/16/2006	19:07:57	19:08:10	Gerry	chat	Yeah -- I don't know either
	05/16/2006	19:08:10	19:08:12	Quicksilver		[Quicksilver has fully erased the chat message]
770	05/16/2006	19:08:13	19:08:20	Quicksilver	chat	every time i dleted a line a square came
771	05/16/2006	19:08:17	19:08:21	Aznx	chat	Let's just ignore it.
772	05/16/2006	19:08:25	19:08:25	Quicksilver	chat	yes
	05/16/2006		19:08:32	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:08:36	bwang8	wb	[bwang8 created a line ]
	05/16/2006		19:08:39	bwang8	wb	[bwang8 deleted some object/s ]
773	05/16/2006	19:08:31	19:08:43	Quicksilver	chat	can i delete first session's comments?
774	05/16/2006	19:08:41	19:08:43	bwang8	chat	yep
	05/16/2006		19:08:50	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:08:51	Aznx	wb	[Aznx moved some object/s ]
	05/16/2006		19:08:56	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:08:56	Aznx	wb	[Aznx moved some object/s ]
	05/16/2006		19:08:57	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:08:58	Aznx	wb	[Aznx moved some object/s ]
	05/16/2006		19:08:59	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:09:00	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:09:00	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:09:01	Aznx	wb	[Aznx moved some object/s ]
	05/16/2006		19:09:01	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:09:03	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:09:04	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:09:09	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:09:10	Aznx	wb	[Aznx moved some object/s ]
775	05/16/2006	19:09:02	19:09:19	bwang8	chat	the squares tell you who is doing each action
776	05/16/2006	19:09:25	19:09:28	Quicksilver	chat	oh
	05/16/2006		19:09:30	bwang8	wb	[bwang8 deleted some object/s ]
777	05/16/2006	19:09:27	19:09:32	Aznx	chat	Can someone remove that whiteboard?	[1] Reference to whiteboard (LineStuff-1147304313060-21118885)
	05/16/2006		19:09:33	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006	19:09:34	19:09:38	Aznx		[Aznx has fully erased the chat message]
	05/16/2006	19:09:38	19:09:40	Quicksilver		[Quicksilver has fully erased the chat message]
778	05/16/2006	19:09:40	19:09:46	Quicksilver	chat	the enitre whiteboard?
	05/16/2006		19:09:54	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:10:25	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:10:30	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:10:32	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:10:32	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:10:33	Quicksilver	wb	[Quicksilver deleted some object/s ]
779	05/16/2006	19:10:34	19:10:34	Aznx	chat	Ok.
	05/16/2006		19:10:35	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:10:36	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:10:37	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:10:40	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:10:42	bwang8	wb	[bwang8 resized some objects ]
780	05/16/2006	19:10:36	19:10:44	Aznx	chat	So let's go back to the feedback discussion.
	05/16/2006		19:10:46	bwang8	wb	[bwang8 deleted some object/s ]
781	05/16/2006	19:10:44	19:10:51	Quicksilver	chat	so we have to explain our formula more
	05/16/2006	19:10:51	19:10:54	Quicksilver		[Quicksilver has fully erased the chat message]
782	05/16/2006	19:10:46	19:10:55	Aznx	chat	How do you think we could've improved?
	05/16/2006		19:10:55	bwang8	wb	[bwang8 moved some object/s ]
783	05/16/2006	19:10:56	19:10:58	Aznx	chat	What else?
	05/16/2006		19:10:59	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		19:11:01	bwang8	wb	[bwang8 moved some object/s ]
784	05/16/2006	19:11:03	19:11:17	Aznx	chat	I personally saw last time as a great experience to use so amny solving techniques.
	05/16/2006	19:11:10	19:11:25	Quicksilver		[Quicksilver has fully erased the chat message]
	05/16/2006	19:11:24	19:11:25	Aznx		[Aznx has fully erased the chat message]
	05/16/2006	19:11:25	19:11:27	Quicksilver		[Quicksilver has fully erased the chat message]
785	05/16/2006	19:11:26	19:11:31	Aznx	chat	Excuse my spelling errors.
786	05/16/2006	19:11:27	19:11:48	Quicksilver	chat	yes, but at the same time we could have followed up the problem
787	05/16/2006	19:11:50	19:11:52	Quicksilver	chat	like the suggestions
788	05/16/2006	19:11:54	19:11:57	Quicksilver	chat	if it had 2 flat sides
789	05/16/2006	19:12:02	19:12:06	bwang8	chat	what does it mean?
	05/16/2006	19:12:11	19:12:12	bwang8		[bwang8 has fully erased the chat message]
790	05/16/2006	19:12:15	19:12:22	Quicksilver	chat	I personally don't get the two flat sides
791	05/16/2006	19:12:22	19:12:29	Quicksilver	chat	I don't know how a pyrmaid would do that
	05/16/2006		19:13:02	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:13:05	Quicksilver	wb	[Quicksilver resized some objects ]
	05/16/2006		19:13:06	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:13:07	Quicksilver	wb	[Quicksilver resized some objects ]
	05/16/2006		19:13:07	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:13:08	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:13:13	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:13:14	Quicksilver	wb	[Quicksilver deleted some object/s ]
792	05/16/2006	19:13:00	19:13:22	Gerry	chat	Imagine stacking the blocks in a corner of a room, against the walls
793	05/16/2006		19:13:22	Gerry	chat
794	05/16/2006	19:13:33	19:13:33	Quicksilver	chat	Oh
795	05/16/2006	19:13:34	19:13:35	Quicksilver	chat	I see
796	05/16/2006	19:13:36	19:13:36	bwang8	chat	ok
797	05/16/2006	19:13:37	19:13:41	Quicksilver	chat	So.....ok
	05/16/2006	19:13:45	19:13:46	bwang8		[bwang8 has fully erased the chat message]
	05/16/2006		19:13:57	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:14:01	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:14:06	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:14:08	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:14:08	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:14:10	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:14:21	Quicksilver	wb	[Quicksilver changed layout ]
798	05/16/2006	19:14:16	19:14:29	bwang8	chat	The equation would still be the same, right?
	05/16/2006		19:14:29	Quicksilver	wb	[Quicksilver changed layout ]
	05/16/2006		19:14:32	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:14:40	Quicksilver	wb	[Quicksilver created a rectangle ]
799	05/16/2006	19:14:44	19:14:46	Quicksilver	chat	I think so
800	05/16/2006	19:14:29	19:14:47	bwang8	chat	because there are the same number of cube each level
801	05/16/2006	19:14:47	19:14:50	Quicksilver	chat	but lets explain that
802	05/16/2006	19:14:53	19:14:58	Quicksilver	chat	bcuz that was in the feedback too
	05/16/2006		19:15:09	Quicksilver	wb	[Quicksilver changed layout ]
803	05/16/2006	19:15:04	19:15:13	Aznx	chat	It would make sense to me that the formula is the same.
	05/16/2006		19:15:19	Quicksilver	wb	[Quicksilver created a rectangle ]
804	05/16/2006	19:15:14	19:15:23	Aznx	chat	But I don't see why it should either.
	05/16/2006		19:15:23	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:15:28	Quicksilver	wb	[Quicksilver created a rectangle ]
805	05/16/2006	19:15:24	19:15:31	Aznx	chat	I can't find a specific explanation.
	05/16/2006		19:15:33	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:15:36	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:15:40	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:15:47	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:15:50	Quicksilver	wb	[Quicksilver created a line ]
806	05/16/2006	19:15:43	19:15:51	Aznx	chat	I mean, there should technically be some changes right?
	05/16/2006		19:15:53	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:15:55	Quicksilver	wb	[Quicksilver created a line ]
807	05/16/2006	19:15:54	19:15:56	Aznx	chat	Or maybe not...
	05/16/2006		19:16:00	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:02	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006	19:15:57	19:16:03	Aznx		[Aznx has fully erased the chat message]
	05/16/2006		19:16:04	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:06	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:08	Quicksilver	wb	[Quicksilver created a line ]
808	05/16/2006	19:16:04	19:16:10	Aznx	chat	Let's sovle it. :P
	05/16/2006		19:16:11	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:14	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:20	bwang8	wb	[bwang8 moved some object/s ]
809	05/16/2006	19:16:16	19:16:20	Quicksilver	chat	Excuse my poor drawings
	05/16/2006		19:16:25	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:27	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:28	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:31	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:35	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:37	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:39	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:41	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:16:43	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:16:47	Quicksilver	wb	[Quicksilver deleted some object/s ]
810	05/16/2006	19:16:28	19:16:47	Gerry	chat	What does the feedback say about the difference this would make?
	05/16/2006		19:16:51	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:16:52	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:16:54	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:16:55	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:16:56	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:16:57	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:17:02	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:17:06	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:17:07	Quicksilver	wb	[Quicksilver created a line ]
811	05/16/2006	19:17:06	19:17:17	Aznx	chat	There would be a similar sharing in between the layers.
	05/16/2006	19:17:16	19:17:20	Quicksilver		[Quicksilver has fully erased the chat message]
812	05/16/2006	19:17:18	19:17:26	Aznx	chat	So the number would technically be bigger.
	05/16/2006	19:17:23	19:17:30	Quicksilver		[Quicksilver has fully erased the chat message]
813	05/16/2006	19:17:25	19:17:31	bwang8	chat	oooh
	05/16/2006	19:17:32	19:17:33	Quicksilver		[Quicksilver has fully erased the chat message]
814	05/16/2006	19:17:37	19:17:38	Quicksilver	chat	Yes
815	05/16/2006	19:17:43	19:17:48	Quicksilver	chat	Each layer is broken up separately
816	05/16/2006	19:17:38	19:18:01	bwang8	chat	so each layer would be missing a bottom, other than the bottommost layer
	05/16/2006	19:18:02	19:18:07	Quicksilver		[Quicksilver has fully erased the chat message]
817	05/16/2006	19:18:07	19:18:11	bwang8	chat	right?
818	05/16/2006	19:18:15	19:18:17	Quicksilver	chat	How
819	05/16/2006	19:18:18	19:18:21	Quicksilver	chat	I don't think so
820	05/16/2006	19:18:25	19:18:29	Aznx	chat	Yeah, I don't think so either.
821	05/16/2006	19:18:22	19:18:30	Quicksilver	chat	Well....are the layers vertical or horizontal
	05/16/2006		19:18:43	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006	19:18:40	19:18:45	Aznx		[Aznx has fully erased the chat message]
	05/16/2006		19:18:45	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:18:49	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:18:51	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:18:52	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:18:56	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:18:57	Quicksilver	wb	[Quicksilver created a line ]
822	05/16/2006	19:18:46	19:18:58	Aznx	chat	Let's start off with only 1 block in the first layer.
823	05/16/2006	19:18:59	19:19:02	Aznx	chat	So there one block.
	05/16/2006		19:19:08	Quicksilver	wb	[Quicksilver created a line ]
824	05/16/2006	19:19:08	19:19:08	bwang8	chat	ok
825	05/16/2006	19:19:04	19:19:10	Aznx	chat	Then next turn it turn into three.
826	05/16/2006	19:19:16	19:19:17	Aznx	chat	And then 5.
827	05/16/2006	19:19:17	19:19:20	Quicksilver	chat	What do you mean?
828	05/16/2006	19:19:22	19:19:22	Aznx	chat	7
829	05/16/2006	19:19:23	19:19:24	Aznx	chat	and so on
830	05/16/2006	19:19:28	19:19:30	Aznx	chat	KLemme show you
831	05/16/2006	19:19:32	19:19:33	Quicksilver	chat	Ok
	05/16/2006		19:19:40	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:19:41	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:19:44	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:19:46	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:19:49	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:19:51	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:19:53	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:19:55	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:19:56	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:19:57	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:19:59	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:20:02	Aznx	wb	[Aznx created a scribble ]
832	05/16/2006	19:19:56	19:20:04	Quicksilver	chat	That's a topp view isn't it?
833	05/16/2006	19:20:08	19:20:09	Quicksilver	chat	OH yes
	05/16/2006	19:20:10	19:20:10	Quicksilver		[Quicksilver has fully erased the chat message]
834	05/16/2006	19:20:11	19:20:11	Quicksilver	chat	i see
835	05/16/2006	19:20:11	19:20:14	Aznx	chat	That's the bottom layer
	05/16/2006		19:20:19	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:20:21	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:20:23	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:20:26	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:20:28	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:20:29	Aznx	wb	[Aznx created a line ]
836	05/16/2006	19:20:21	19:20:34	Quicksilver	chat	Actually the thrid layer should have six
	05/16/2006		19:20:34	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:20:36	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:20:38	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:20:39	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:20:41	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:20:42	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:20:43	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:20:44	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:20:46	Aznx	wb	[Aznx created a scribble ]
837	05/16/2006	19:20:47	19:20:48	Aznx	chat	How?
	05/16/2006		19:20:54	Quicksilver	wb	[Quicksilver created a rectangle ]
838	05/16/2006	19:21:00	19:21:05	Aznx	chat	Why would you put a block there though?
839	05/16/2006	19:21:01	19:21:06	Quicksilver	chat	You have to increase in the middle too	[1] Reference to whiteboard (LineStuff-1147821656867-19160468)
	05/16/2006	19:21:07	19:21:12	Aznx		[Aznx has fully erased the chat message]
840	05/16/2006	19:21:15	19:21:17	Aznx	chat	You're right!
841	05/16/2006	19:21:22	19:21:25	Aznx	chat	So there would be 6
842	05/16/2006	19:21:18	19:21:25	Quicksilver	chat	Then it's ljust like a wall if you don't have anythign there
	05/16/2006	19:21:27	19:21:29	bwang8		[bwang8 has fully erased the chat message]
843	05/16/2006	19:21:30	19:21:30	bwang8	chat	ok
844	05/16/2006	19:21:27	19:21:38	Quicksilver	chat	Just imagine two walls coming together....that's not a pyramid
845	05/16/2006	19:21:37	19:21:47	Aznx	chat	So the progression is 1, 3, 6...
846	05/16/2006	19:21:50	19:21:55	Aznx	chat	It's triagular numbers, right?
	05/16/2006		19:22:07	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:22:09	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:22:11	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:22:12	Quicksilver	wb	[Quicksilver created a line ]
	05/16/2006		19:22:16	Quicksilver	wb	[Quicksilver created a scribble ]
	05/16/2006		19:22:18	Quicksilver	wb	[Quicksilver created a scribble ]
	05/16/2006		19:22:21	Quicksilver	wb	[Quicksilver created a scribble ]
847	05/16/2006	19:21:54	19:22:23	Quicksilver	chat	I think its four for the second step isn't it?
	05/16/2006		19:22:29	Quicksilver	wb	[Quicksilver created a scribble ]
	05/16/2006	19:22:04	19:22:37	Aznx		[Aznx has fully erased the chat message]
848	05/16/2006	19:22:38	19:22:38	Aznx	chat	hm.
	05/16/2006		19:22:38	Quicksilver	wb	[Quicksilver created a scribble ]
	05/16/2006		19:22:42	Quicksilver	wb	[Quicksilver created a scribble ]
849	05/16/2006	19:22:39	19:22:43	Aznx	chat	I was thinking about that.
	05/16/2006		19:22:44	Quicksilver	wb	[Quicksilver created a scribble ]
850	05/16/2006	19:22:45	19:22:47	Aznx	chat	But I'km not sure
	05/16/2006		19:22:48	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:22:50	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:22:53	Quicksilver	wb	[Quicksilver created a scribble ]
	05/16/2006		19:22:57	Quicksilver	wb	[Quicksilver created a scribble ]
	05/16/2006		19:22:58	Quicksilver	wb	[Quicksilver created a scribble ]
851	05/16/2006	19:23:00	19:23:03	Quicksilver	chat	I think it's square numbers
852	05/16/2006	19:23:00	19:23:04	Aznx	chat	bwang what do you think?
	05/16/2006	19:23:16	19:23:17	Aznx		[Aznx has fully erased the chat message]
853	05/16/2006	19:23:17	19:23:20	Aznx	chat	Swuare numbers?
854	05/16/2006	19:23:22	19:23:24	Aznx	chat	How though?
855	05/16/2006	19:23:19	19:23:24	bwang8	chat	i can't see any patterns
856	05/16/2006	19:23:25	19:23:29	Aznx	chat	The third step has 6 blocks
857	05/16/2006	19:23:36	19:23:38	Quicksilver	chat	It could have nine
858	05/16/2006	19:23:39	19:23:46	Quicksilver	chat	It depends how we are increasing
859	05/16/2006	19:23:46	19:24:01	Quicksilver	chat	If we want breakins in the pyramid at the front side or not
860	05/16/2006	19:23:58	19:24:08	Aznx	chat	Should we just go onto a different problem for now?
861	05/16/2006	19:24:14	19:24:20	Quicksilver	chat	This is todays problem isn't it?
862	05/16/2006	19:24:21	19:24:25	Quicksilver	chat	Discuss last week?
863	05/16/2006	19:24:45	19:24:50	Quicksilver	chat	And more problems I guess..
864	05/16/2006	19:24:54	19:24:55	Aznx	chat	Yeah
865	05/16/2006	19:24:58	19:25:05	Aznx	chat	WE can come back to this on Thursday
	05/16/2006		19:25:06	bwang8	wb	[bwang8 moved some object/s ]
866	05/16/2006	19:25:12	19:25:20	Aznx	chat	And perhaps expans on it even more
	05/16/2006		19:25:21	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		19:25:33	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		19:25:45	Aznx	wb	[Aznx created a scribble ]
	05/16/2006	19:25:49	19:25:54	bwang8		[bwang8 has fully erased the chat message]
867	05/16/2006	19:25:59	19:26:08	Aznx	chat	This was our formula for this problem last time correct?	[1] Reference to whiteboard (whiteboardDoc)
	05/16/2006	19:26:08	19:26:10	Quicksilver		[Quicksilver has fully erased the chat message]
868	05/16/2006	19:26:13	19:26:13	bwang8	chat	yeah
869	05/16/2006	19:26:12	19:26:13	Quicksilver	chat	Yes
870	05/16/2006	19:26:18	19:26:21	Aznx	chat	So how about we keep it
871	05/16/2006	19:26:28	19:26:29	Quicksilver	chat	Yes
872	05/16/2006	19:26:23	19:26:31	Aznx	chat	And move onto a different sequence?
	05/16/2006		19:26:34	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:26:37	Quicksilver	wb	[Quicksilver created a rectangle ]
	05/16/2006		19:26:41	Quicksilver	wb	[Quicksilver created a rectangle ]
873	05/16/2006	19:26:43	19:26:47	Aznx	chat	How about squares?
874	05/16/2006	19:26:49	19:26:52	Aznx	chat	As you had mentioned?
875	05/16/2006		19:26:55	Quicksilver	chat
876	05/16/2006	19:26:53	19:26:56	Aznx	chat	bwang you have any ideas?
877	05/16/2006	19:26:56	19:27:01	Quicksilver	chat	These basically were squares
	05/16/2006		19:27:07	Quicksilver	wb	[Quicksilver changed layout ]
	05/16/2006		19:27:24	Aznx	wb	[Aznx moved some object/s ]
878	05/16/2006	19:27:11	19:27:24	bwang8	chat	squares of what?
	05/16/2006		19:27:26	Aznx	wb	[Aznx moved some object/s ]
	05/16/2006		19:27:31	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:27:32	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006	19:27:37	19:27:38	Quicksilver		[Quicksilver has fully erased the chat message]
879	05/16/2006	19:27:39	19:27:45	Quicksilver	chat	The cubes were basically squares
880	05/16/2006	19:27:45	19:27:52	Quicksilver	chat	we just broke apart the lines
	05/16/2006	19:27:59	19:28:05	bwang8		[bwang8 has fully erased the chat message]
	05/16/2006	19:28:14	19:28:16	bwang8		[bwang8 has fully erased the chat message]
881	05/16/2006	19:28:10	19:28:22	Aznx	chat	I'm sure we can come up with other sequences.
	05/16/2006	19:28:18	19:28:27	Quicksilver		[Quicksilver has fully erased the chat message]
	05/16/2006	19:28:17	19:28:27	bwang8		[bwang8 has fully erased the chat message]
	05/16/2006	19:28:31	19:28:31	Aznx		[Aznx has fully erased the chat message]
882	05/16/2006	19:28:33	19:28:41	Quicksilver	chat	How did team C get its formula for the diamonds?
883	05/16/2006	19:28:42	19:28:46	Quicksilver	chat	How do we access that?
	05/16/2006	19:28:32	19:28:47	Aznx		[Aznx has fully erased the chat message]
	05/16/2006	19:28:31	19:28:54	bwang8		[bwang8 has fully erased the chat message]
884	05/16/2006	19:28:55	19:29:00	Aznx	chat	Well, let's look at their problem.
885	05/16/2006	19:29:00	19:29:05	bwang8	chat	open browser
	05/16/2006		19:29:06	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:29:10	Aznx	wb	[Aznx created a line ]
	05/16/2006		19:29:12	Aznx	wb	[Aznx created a line ]
886	05/16/2006	19:29:07	19:29:13	bwang8	chat	and click on the link
887	05/16/2006	19:29:11	19:29:14	Quicksilver	chat	oh nevrmind
	05/16/2006		19:29:14	Aznx	wb	[Aznx created a line ]
888	05/16/2006	19:29:14	19:29:15	Quicksilver	chat	i got it
	05/16/2006	19:29:13	19:29:18	bwang8		[bwang8 has fully erased the chat message]
889	05/16/2006	19:29:19	19:29:19	bwang8	chat	ok
	05/16/2006		19:29:21	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:29:24	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:29:28	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:29:32	Aznx	wb	[Aznx created a scribble ]
890	05/16/2006	19:29:42	19:29:48	Aznx	chat	Wait, I think I messed up.
	05/16/2006		19:30:13	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:30:19	Aznx	wb	[Aznx created a scribble ]
891	05/16/2006	19:30:11	19:30:19	bwang8	chat	their problem is indeed interesting
	05/16/2006		19:30:23	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:30:26	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:30:28	Aznx	wb	[Aznx created a scribble ]
892	05/16/2006	19:30:31	19:30:31	Quicksilver	chat	yes
	05/16/2006		19:30:31	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:30:34	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:30:38	Aznx	wb	[Aznx created a scribble ]
893	05/16/2006	19:30:41	19:30:44	Aznx	chat	lol, it looks horrible
	05/16/2006	19:30:39	19:30:45	bwang8		[bwang8 has fully erased the chat message]
894	05/16/2006	19:30:47	19:30:48	bwang8	chat	lol
	05/16/2006		19:30:56	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:30:56	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:30:58	Aznx	wb	[Aznx created a scribble ]
895	05/16/2006	19:31:01	19:31:01	Aznx	chat	Ok
896	05/16/2006	19:31:18	19:31:23	Aznx	chat	How would you grow this pattern?
897	05/16/2006	19:31:28	19:31:32	Aznx	chat	Like a tesselation?
898	05/16/2006	19:31:40	19:31:40	Quicksilver	chat	No
899	05/16/2006	19:31:41	19:31:45	Quicksilver	chat	It doesn't tesselate
	05/16/2006		19:31:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:31:53	bwang8	wb	[bwang8 deleted some object/s ]
900	05/16/2006	19:31:51	19:31:55	Aznx	chat	Actually it does
	05/16/2006		19:31:57	bwang8	wb	[bwang8 deleted some object/s ]
901	05/16/2006	19:31:57	19:31:58	Quicksilver	chat	How?
902	05/16/2006	19:32:02	19:32:03	Aznx	chat	Hold on
	05/16/2006	19:31:59	19:32:06	Quicksilver		[Quicksilver has fully erased the chat message]
	05/16/2006		19:32:07	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:32:08	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:32:09	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:32:09	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:32:10	bwang8	wb	[bwang8 deleted some object/s ]
903	05/16/2006	19:32:07	19:32:11	Quicksilver	chat	color the portion
	05/16/2006		19:32:13	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:32:16	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:32:18	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:32:20	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:32:35	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:32:44	Aznx	wb	[Aznx created a scribble ]
904	05/16/2006	19:32:37	19:32:48	Quicksilver	chat	Besides, It grows in all directions
905	05/16/2006	19:32:54	19:32:56	Aznx	chat	But it fits
906	05/16/2006	19:32:58	19:33:05	Aznx	chat	You can do it on your own scratch piece of paper =P
907	05/16/2006	19:33:05	19:33:06	bwang8	chat	ok
908	05/16/2006	19:33:07	19:33:16	bwang8	chat	lets think about the equatin
909	05/16/2006	19:33:20	19:33:22	bwang8	chat	equation
910	05/16/2006	19:33:22	19:33:23	Quicksilver	chat	yes
911	05/16/2006	19:33:24	19:33:30	bwang8	chat	how did they derive it
	05/16/2006		19:33:31	Aznx	START:TextEditing
912	05/16/2006	19:33:44	19:33:50	Aznx	chat	There's the formula
913	05/16/2006	19:33:50	19:33:57	bwang8	chat	(n^2+(n-1)^2)*2+n*3-2
914	05/16/2006	19:34:07	19:34:08	bwang8	chat	n^2+(n-1)^2
915	05/16/2006	19:34:01	19:34:18	Aznx	chat	The 3n has to do with the growing outer layer of the pattern I think.
916	05/16/2006	19:34:13	19:34:23	Quicksilver	chat	the sides and squares
917	05/16/2006	19:34:54	19:34:55	Aznx	chat	Right.
	05/16/2006	19:34:42	19:34:58	Quicksilver		[Quicksilver has fully erased the chat message]
918	05/16/2006	19:35:08	19:35:09	Aznx	chat	There.
	05/16/2006	19:35:04	19:35:18	Quicksilver		[Quicksilver has fully erased the chat message]
919	05/16/2006	19:35:26	19:35:36	Aznx	chat	I have an interesting way to look at this problem.
920	05/16/2006	19:35:41	19:35:42	Quicksilver	chat	Tell us
921	05/16/2006	19:35:38	19:35:45	Aznx	chat	Can you see how it fits inside a quare?
922	05/16/2006	19:35:45	19:35:45	bwang8	chat	yes
	05/16/2006	19:35:49	19:35:52	bwang8		[bwang8 has fully erased the chat message]
923	05/16/2006	19:35:51	19:35:52	Quicksilver	chat	Yes
924	05/16/2006	19:35:52	19:35:53	bwang8	chat	oh
925	05/16/2006	19:35:55	19:35:55	bwang8	chat	yes
926	05/16/2006	19:35:53	19:36:01	Quicksilver	chat	You are sayingthe extra spaces...
927	05/16/2006	19:35:58	19:36:05	Aznx	chat	Also, do you see if you add up the missing areas
928	05/16/2006	19:36:10	19:36:11	Quicksilver	chat	Yes...
929	05/16/2006	19:36:12	19:36:18	Quicksilver	chat	they look similar to the original figures
930	05/16/2006	19:36:20	19:36:21	Quicksilver	chat	figure
931	05/16/2006	19:36:08	19:36:21	Aznx	chat	It is equivalent in size to the small circle in the pattern
	05/16/2006	19:36:21	19:36:24	Quicksilver		[Quicksilver has fully erased the chat message]
	05/16/2006	19:36:16	19:36:27	bwang8		[bwang8 has fully erased the chat message]
932	05/16/2006	19:36:31	19:36:33	Quicksilver	chat	Small circle?
933	05/16/2006	19:36:28	19:36:39	Aznx	chat	The only part you would be missing out are the four squares
934	05/16/2006	19:36:42	19:36:49	Aznx	chat	on the outer areas of this square
935	05/16/2006	19:36:54	19:37:00	Aznx	chat	Doi you guys get what I mean?
936	05/16/2006	19:37:06	19:37:07	bwang8	chat	yes
937	05/16/2006	19:36:58	19:37:08	Quicksilver	chat	Show what u mean on the witeboard
938	05/16/2006	19:37:09	19:37:11	Quicksilver	chat	i dont get it
939	05/16/2006	19:37:12	19:37:14	Aznx	chat	bwang you show him
940	05/16/2006	19:37:15	19:37:17	Aznx	chat	since you get it
	05/16/2006		19:37:19	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:37:23	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:37:26	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:37:30	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:37:32	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:37:34	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:37:37	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:37:39	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:37:41	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:37:50	bwang8	wb	[bwang8 changed layout ]
	05/16/2006		19:37:53	bwang8	wb	[bwang8 changed layout ]
	05/16/2006		19:37:55	bwang8	wb	[bwang8 changed layout ]
	05/16/2006		19:37:57	bwang8	wb	[bwang8 changed layout ]
941	05/16/2006	19:38:02	19:38:18	bwang8	chat	we just have to find the whole square and minus the four corners
942	05/16/2006	19:38:13	19:38:19	Aznx	chat	The red areas
	05/16/2006	19:38:15	19:38:22	Quicksilver		[Quicksilver has fully erased the chat message]
	05/16/2006	19:38:24	19:38:24	Quicksilver		[Quicksilver has fully erased the chat message]
943	05/16/2006	19:38:26	19:38:27	Quicksilver	chat	no
944	05/16/2006	19:38:21	19:38:30	Aznx	chat	are eqivalent ot the middle square
945	05/16/2006		19:38:39	Quicksilver	chat		[1] Reference to whiteboard (whiteboardDoc)
946	05/16/2006	19:38:36	19:38:39	Aznx	chat	Does that make sense?
947	05/16/2006	19:38:43	19:38:45	Quicksilver	chat	no
948	05/16/2006	19:38:46	19:38:53	Quicksilver	chat	Because what about these	[1] Reference to whiteboard (whiteboardDoc)
949	05/16/2006	19:38:55	19:38:55	Aznx	chat	Ok
950	05/16/2006	19:38:56	19:38:58	Aznx	chat	lemme show you
	05/16/2006		19:39:02	Aznx	END:TextEditing
	05/16/2006		19:39:02	Aznx	wb	[Aznx created a textbox ]
	05/16/2006		19:39:06	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:39:10	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:39:12	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:39:14	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:39:16	Aznx	wb	[Aznx created a scribble ]
951	05/16/2006	19:39:17	19:39:24	Aznx	chat	There's this original suqare in the pattern first
952	05/16/2006	19:39:27	19:39:28	Aznx	chat	Pluis....
	05/16/2006		19:39:31	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:39:33	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:39:36	Aznx	wb	[Aznx created a scribble ]
953	05/16/2006	19:39:27	19:39:37	Quicksilver	chat	Are those nine squares these	[1] Reference to whiteboard (FreehandStuff-1147822250176-3339425)
	05/16/2006		19:39:38	Aznx	wb	[Aznx created a scribble ]
954	05/16/2006	19:39:42	19:39:42	Aznx	chat	Yeah
	05/16/2006	19:39:56	19:39:57	bwang8		[bwang8 has fully erased the chat message]
955	05/16/2006	19:39:57	19:39:59	Quicksilver	chat	Ok keep going
956	05/16/2006	19:39:58	19:40:00	bwang8	chat	no
957	05/16/2006	19:40:05	19:40:05	Quicksilver	chat	?
958	05/16/2006	19:40:00	19:40:11	bwang8	chat	it's a shrink down version
959	05/16/2006	19:40:12	19:40:16	bwang8	chat	of the pattern
960	05/16/2006	19:40:14	19:40:16	Aznx	chat	bwnag's right
961	05/16/2006	19:40:20	19:40:27	Aznx	chat	this is only looking at a specific size
	05/16/2006	19:40:27	19:40:30	Quicksilver		[Quicksilver has fully erased the chat message]
962	05/16/2006	19:40:31	19:40:32	Quicksilver	chat	yes
963	05/16/2006	19:40:33	19:40:35	Quicksilver	chat	i know
	05/16/2006	19:40:31	19:40:35	Aznx		[Aznx has fully erased the chat message]
964	05/16/2006	19:40:38	19:40:41	Aznx	chat	So do you understand
965	05/16/2006	19:40:43	19:40:44	Aznx	chat	it now?
966	05/16/2006	19:40:46	19:40:48	Quicksilver	chat	i think so
967	05/16/2006	19:40:51	19:40:52	Aznx	chat	Hold on
	05/16/2006		19:40:59	Quicksilver	wb	[Quicksilver deleted some object/s ]
968	05/16/2006	19:40:54	19:40:59	Aznx	chat	Watch the part I'm making right now
	05/16/2006	19:40:22	19:41:04	bwang8		[bwang8 has fully erased the chat message]
	05/16/2006		19:41:04	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:41:05	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:41:06	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:41:08	Aznx	wb	[Aznx created a scribble ]
	05/16/2006		19:41:08	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:41:09	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:41:10	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:41:13	Quicksilver	wb	[Quicksilver deleted some object/s ]
969	05/16/2006	19:41:24	19:41:27	Aznx	chat	See how that part
970	05/16/2006	19:41:28	19:41:32	Aznx	chat	multiplied by four
971	05/16/2006	19:41:35	19:41:38	Quicksilver	chat	Is equal to twelve
972	05/16/2006	19:41:33	19:41:39	Aznx	chat	fits inside that 3x3 square?
973	05/16/2006	19:41:51	19:41:53	Quicksilver	chat	No
974	05/16/2006	19:41:54	19:42:00	Quicksilver	chat	How does twelve fit inside nine?
975	05/16/2006	19:42:01	19:42:02	Aznx	chat	Oh!
976	05/16/2006	19:42:05	19:42:11	Aznx	chat	Plus are the remaining four squares
977	05/16/2006	19:42:15	19:42:18	Aznx	chat	Plus add those four
978	05/16/2006	19:42:22	19:42:24	Aznx	chat	It works now
979	05/16/2006	19:42:26	19:42:28	Quicksilver	chat	thes?	[1] Reference to whiteboard (whiteboardDoc)
980	05/16/2006	19:42:28	19:42:31	Aznx	chat	It should at least...
981	05/16/2006	19:42:33	19:42:34	Aznx	chat	Yeah
982	05/16/2006	19:42:40	19:42:46	Aznx	chat	But apparently 9+4 is 13...
983	05/16/2006	19:42:48	19:42:49	Aznx	chat	not 12...
	05/16/2006	19:42:43	19:42:55	Quicksilver		[Quicksilver has fully erased the chat message]
984	05/16/2006	19:42:56	19:42:58	Quicksilver	chat	yeah...
985	05/16/2006	19:43:02	19:43:03	Aznx	chat	Hold on
	05/16/2006	19:43:06	19:43:08	Quicksilver		[Quicksilver has fully erased the chat message]
986	05/16/2006	19:43:11	19:43:11	Aznx	chat	Ok.
987	05/16/2006	19:43:09	19:43:13	Quicksilver	chat	bwang any thoughts?
988	05/16/2006	19:43:13	19:43:15	Aznx	chat	Now to make it
	05/16/2006	19:43:13	19:43:22	Quicksilver		[Quicksilver has fully erased the chat message]
	05/16/2006	19:43:18	19:43:28	bwang8		[bwang8 has fully erased the chat message]
989	05/16/2006	19:43:28	19:43:33	bwang8	chat	what is n in their equation
	05/16/2006		19:43:45	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		19:43:47	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		19:43:51	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		19:43:53	bwang8	wb	[bwang8 moved some object/s ]
990	05/16/2006	19:43:53	19:43:56	Aznx	chat	Good question
991	05/16/2006	19:43:57	19:44:01	Aznx	chat	I don't know. :P
	05/16/2006		19:44:03	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006	19:44:03	19:44:03	Aznx		[Aznx has fully erased the chat message]
	05/16/2006		19:44:04	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006	19:44:04	19:44:09	Aznx		[Aznx has fully erased the chat message]
992	05/16/2006	19:44:01	19:44:10	Quicksilver	chat	Sides, sticks or squares?
	05/16/2006		19:44:12	bwang8	wb	[bwang8 changed layout ]
993	05/16/2006	19:44:13	19:44:14	Aznx	chat	Gerry?
994	05/16/2006	19:44:11	19:44:17	Quicksilver	chat	let ask xander
	05/16/2006		19:44:18	bwang8	wb	[bwang8 created a rectangle ]
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	05/16/2006		19:44:22	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:24	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:25	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:27	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:28	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:30	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:31	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:33	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:36	bwang8	wb	[bwang8 changed layout ]
	05/16/2006		19:44:38	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:40	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:41	bwang8	wb	[bwang8 deleted some object/s ]
	05/16/2006		19:44:44	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:45	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:46	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:47	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:49	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:51	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:53	bwang8	wb	[bwang8 created a rectangle ]
	05/16/2006		19:44:58	bwang8	wb	[bwang8 changed layout ]
995	05/16/2006	19:45:05	19:45:18	Gerry	chat	I assume N is the stage in the pattern	[1] Reference to message No. 989 (Text: what is n in their equation )
996	05/16/2006	19:45:26	19:45:29	Aznx	chat	What do you mean?
997	05/16/2006	19:45:14	19:45:35	Quicksilver	chat	That is twelve extra squares in a five by five square
998	05/16/2006	19:45:31	19:45:39	Aznx	chat	I'm confused how the pattern grows
999	05/16/2006	19:45:47	19:45:50	Aznx	chat	Oh, I get it now
1000	05/16/2006	19:45:52	19:45:56	Aznx	chat	I was on the right track =P
1001	05/16/2006	19:45:44	19:45:59	Gerry	chat	Just like in the original problem on the Topic	[1] Reference to message No. 995 (Text: I assume N is the stage in the pattern )
	05/16/2006	19:45:56	19:46:01	Quicksilver		[Quicksilver has fully erased the chat message]
1002	05/16/2006	19:47:03	19:47:12	Gerry	chat	Stage N=1 is one square
1003	05/16/2006	19:47:13	19:47:27	Gerry	chat	Stage N= 2 is a cross of 5 squares
1004	05/16/2006	19:47:37	19:47:37	Quicksilver	chat	Ok
1005	05/16/2006	19:47:29	19:48:00	Gerry	chat	Stage N=3 is the bigger figure with 13 squares	[1] Reference to whiteboard (whiteboardDoc)
1006	05/16/2006	19:47:39	19:48:08	Quicksilver	chat	Stage N=3 is a cross of 9 squares or 13?
1007	05/16/2006	19:48:22	19:48:23	Aznx	chat	13
1008	05/16/2006	19:48:31	19:48:32	Aznx	chat	i tihnk
1009	05/16/2006	19:48:35	19:48:42	Quicksilver	chat	Because those extra four are tricky
1010	05/16/2006	19:48:33	19:48:46	Gerry	chat	you could define the sequence either way	[1] Reference to message No. 1006 (Text: Stage N=3 is a cross of 9 squares or 13? )
	05/16/2006	19:48:42	19:48:51	Quicksilver		[Quicksilver has fully erased the chat message]
1011	05/16/2006	19:48:54	19:48:54	Quicksilver	chat	yeah
1012	05/16/2006	19:48:56	19:49:01	Quicksilver	chat	but it has to be constant
1013	05/16/2006	19:48:51	19:49:05	Gerry	chat	which did they do? Which is more interesting mathematically?	[1] Reference to message No. 1010 (Text: you could define the sequence either way )
	05/16/2006	19:49:09	19:49:09	Quicksilver		[Quicksilver has fully erased the chat message]
1014	05/16/2006	19:49:29	19:49:29	Aznx	chat	13
1015	05/16/2006	19:49:30	19:49:34	Aznx	chat	is much more interesting =P
1016	05/16/2006	19:49:18	19:49:34	Quicksilver	chat	it doesn't actually have to be constant but it has to have some kind of patter	[1] Reference to message No. 1012 (Text: but it has to be constant )
1017	05/16/2006	19:49:52	19:49:53	bwang8	chat	ok
	05/16/2006	19:49:54	19:49:58	bwang8		[bwang8 has fully erased the chat message]
	05/16/2006	19:50:00	19:50:02	bwang8		[bwang8 has fully erased the chat message]
	05/16/2006	19:50:04	19:50:09	bwang8		[bwang8 has fully erased the chat message]
1018	05/16/2006	19:50:17	19:50:23	Aznx	chat	Now what do we do?
1019	05/16/2006	19:50:32	19:50:33	Quicksilver	chat	this	[1] Reference to whiteboard (whiteboardDoc)
1020	05/16/2006	19:50:10	19:50:38	bwang8	chat	(2n-1)^2= the # of squares in the big square
1021	05/16/2006	19:50:25	19:50:43	Aznx	chat	We need to come up with the formula.
1022	05/16/2006	19:50:48	19:50:49	Quicksilver	chat	yes nvrmind
1023	05/16/2006	19:50:45	19:50:52	Aznx	chat	Yeah we came up with that part.
1024	05/16/2006	19:50:54	19:50:57	Aznx	chat	How about the sides?
1025	05/16/2006	19:51:00	19:51:02	Aznx	chat	How did they do that?
	05/16/2006		19:51:07	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:51:11	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006		19:51:13	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/16/2006	19:50:59	19:51:18	Quicksilver		[Quicksilver has fully erased the chat message]
1026	05/16/2006	19:52:12	19:52:31	bwang8	chat	i think they first calculate how many sides there are in the big square
1027	05/16/2006	19:52:32	19:52:38	bwang8	chat	and minus the extra ones
	05/16/2006	19:52:36	19:52:41	Quicksilver		[Quicksilver has fully erased the chat message]
1028	05/16/2006	19:52:44	19:52:51	Quicksilver	chat	that could be it
1029	05/16/2006	19:53:29	19:53:50	bwang8	chat	let's first figure out the equation they used to find the number of squares
1030	05/16/2006	19:53:59	19:54:01	Quicksilver	chat	ok
1031	05/16/2006	19:53:58	19:54:04	bwang8	chat	this is the big square	[1] Reference to message No. 1020 (Text: (2n-1)^2= the # of squares in the big square )
	05/16/2006	19:54:10	19:54:15	bwang8		[bwang8 has fully erased the chat message]
1032	05/16/2006	19:54:16	19:54:22	bwang8	chat	- all the extra
	05/16/2006	19:54:02	19:54:26	Quicksilver		[Quicksilver has fully erased the chat message]
	05/16/2006	19:54:30	19:54:36	bwang8		[bwang8 has fully erased the chat message]
1033	05/16/2006	19:54:37	19:54:48	bwang8	chat	there is 0 extra in stage 1
	05/16/2006	19:54:53	19:54:54	Quicksilver		[Quicksilver has fully erased the chat message]
1034	05/16/2006	19:54:53	19:54:59	bwang8	chat	1 extra in stage 2
1035	05/16/2006	19:54:58	19:54:59	Quicksilver	chat	Yeah
	05/16/2006	19:55:00	19:55:02	Quicksilver		[Quicksilver has fully erased the chat message]
1036	05/16/2006	19:55:01	19:55:08	bwang8	chat	2 extra in stage 3
	05/16/2006	19:55:03	19:55:11	Quicksilver		[Quicksilver has fully erased the chat message]
1037	05/16/2006	19:55:12	19:55:17	bwang8	chat	i mean 3 extra in stage 3
	05/16/2006	19:55:13	19:55:18	Quicksilver		[Quicksilver has fully erased the chat message]
	05/16/2006	19:55:22	19:55:23	Quicksilver		[Quicksilver has fully erased the chat message]
1038	05/16/2006	19:55:24	19:55:29	bwang8	chat	is there a pattern
1039	05/16/2006	19:55:32	19:55:34	Quicksilver	chat	Not yet
1040	05/16/2006	19:55:47	19:55:53	bwang8	chat	6 extra in stage 4
1041	05/16/2006	19:56:09	19:56:12	Quicksilver	chat	Trinagular numbers
1042	05/16/2006	19:56:15	19:56:16	bwang8	chat	yeah
1043	05/16/2006	19:56:22	19:56:32	Quicksilver	chat	Aznx was right earlier...
1044	05/16/2006	19:56:18	19:56:34	bwang8	chat	use it times 4 and you can get the extra squares
1045	05/16/2006	19:56:40	19:56:41	Quicksilver	chat	Yes
1046	05/16/2006	19:56:42	19:56:49	Quicksilver	chat	and just subtract that from the total squares
1047	05/16/2006	19:56:49	19:56:57	Quicksilver	chat	to get the number of squares for each level
1048	05/16/2006	19:56:45	19:57:11	bwang8	chat	oh no!
1049	05/16/2006	19:57:12	19:57:16	bwang8	chat	i have to go now
1050	05/16/2006	19:57:10	19:57:16	Aznx	chat	I never said I was wrong. :P
1051	05/16/2006	19:57:19	19:57:21	bwang8	chat	sorry
1052	05/16/2006	19:57:17	19:57:21	Quicksilver	chat	Wat?
1053	05/16/2006		19:57:21	Quicksilver	chat
1054	05/16/2006		19:57:21	Quicksilver	chat
1055	05/16/2006		19:57:22	Quicksilver	chat
1056	05/16/2006		19:57:22	Quicksilver	chat
1057	05/16/2006		19:57:22	Quicksilver	chat
1058	05/16/2006		19:57:22	Quicksilver	chat
1059	05/16/2006		19:57:22	Quicksilver	chat
1060	05/16/2006		19:57:22	Quicksilver	chat
1061	05/16/2006		19:57:22	Quicksilver	chat
1062	05/16/2006	19:57:23	19:57:24	Quicksilver	chat	sorry
	05/16/2006	19:57:24	19:57:26	bwang8		[bwang8 has fully erased the chat message]
	05/16/2006	19:57:27	19:57:31	bwang8		[bwang8 has fully erased the chat message]
1063	05/16/2006	19:57:34	19:57:41	bwang8	chat	see you thursday
1064	05/16/2006	19:57:43	19:57:44	bwang8	chat	ok
	05/16/2006	19:57:39	19:57:44	Quicksilver		[Quicksilver has fully erased the chat message]
1065	05/16/2006	19:57:37	19:57:44	Aznx	chat	I guess that's all for today then?	[1] Reference to message No. 1043 (Text: Aznx was right earlier... )
1066	05/16/2006	19:57:45	19:57:48	Quicksilver	chat	you have to go?
1067	05/16/2006	19:57:46	19:57:52	Aznx	chat	Do we have to report for the wiki?
1068	05/16/2006	19:57:51	19:57:56	bwang8	chat	you guys can keep working
1069	05/16/2006	19:57:57	19:57:59	bwang8	chat	but i have to go
1070	05/16/2006	19:57:57	19:58:02	Quicksilver	chat	there wasnit really a problem
1071	05/16/2006	19:58:02	19:58:03	Aznx	chat	Should we?
1072	05/16/2006	19:58:03	19:58:04	Quicksilver	chat	ok
	05/16/2006	19:58:05	19:58:05	Quicksilver		[Quicksilver has fully erased the chat message]
1073	05/16/2006	19:58:09	19:58:10	bwang8	chat	bye
1074	05/16/2006	19:58:10	19:58:11	bwang8	chat	now
1075	05/16/2006	19:58:07	19:58:11	Quicksilver	chat	see u on thursday
1076	05/16/2006	19:58:12	19:58:12	Aznx	chat	bye
1077	05/16/2006		19:58:14	bwang8	leaves	leaves the room
1078	05/16/2006	19:58:19	19:58:23	Aznx	chat	So do we leave as well?
1079	05/16/2006	19:58:30	19:58:31	Quicksilver	chat	Um...
1080	05/16/2006	19:58:32	19:58:36	Quicksilver	chat	did we acccomplish the goal
1081	05/16/2006	19:58:37	19:58:41	Quicksilver	chat	we discussed last week
1082	05/16/2006	19:58:42	19:58:51	Quicksilver	chat	and we didn't do much else
1083	05/16/2006	19:58:36	19:59:02	Gerry	chat	do you want to leave anything on the wiki for the other groups about your ideas?
1084	05/16/2006	19:59:07	19:59:11	Aznx	chat	Put up the formula.
	05/16/2006	19:59:12	19:59:12	Quicksilver		[Quicksilver has fully erased the chat message]
1085	05/16/2006	19:59:15	19:59:19	Quicksilver	chat	That was team c's formuala
1086	05/16/2006	19:59:23	19:59:29	Quicksilver	chat	which one are you talking about?
1087	05/16/2006	19:59:28	19:59:32	Aznx	chat	No the one on the whiteboard	[1] Reference to whiteboard (whiteboardDoc)
1088	05/16/2006	19:59:15	19:59:36	Gerry	chat	Do you want to put a message on for Team C?
1089	05/16/2006	19:59:42	19:59:51	Aznx	chat	Aditya write on how we explored the problem more.
1090	05/16/2006	19:59:46	19:59:52	Quicksilver	chat	ok indranil...you put it up
1091	05/16/2006	19:59:55	19:59:56	Aznx	chat	You put it up
	05/16/2006	19:59:57	20:00:00	Quicksilver		[Quicksilver has fully erased the chat message]
1092	05/16/2006	20:00:01	20:00:03	Quicksilver	chat	um...
1093	05/16/2006	20:00:06	20:00:07	Quicksilver	chat	Ok
1094	05/16/2006	20:00:10	20:00:14	Aznx	chat	I'll do it next time. =P
1095	05/16/2006	20:00:13	20:00:18	Quicksilver	chat	but stay on now
1096	05/16/2006	20:00:21	20:00:25	Aznx	chat	Yeah, I wll.
1097	05/16/2006	20:01:27	20:01:37	Quicksilver	chat	Did we actually figure out Team C's formual?
1098	05/16/2006	20:01:38	20:01:46	Quicksilver	chat	or did we just kind of make one of ourselves
1099	05/16/2006	20:02:08	20:02:11	Quicksilver	chat	Indranil?
1100	05/16/2006	20:02:13	20:02:14	Aznx	chat	Yeah we did.
1101	05/16/2006	20:02:19	20:02:25	Quicksilver	chat	We figured out theri formula?
1102	05/16/2006	20:02:18	20:02:30	Aznx	chat	We derived on ourselves, and just used their to double-check.
	05/16/2006	20:02:26	20:02:30	Quicksilver		[Quicksilver has fully erased the chat message]
	05/16/2006	20:02:30	20:02:34	Quicksilver		[Quicksilver has fully erased the chat message]
1103	05/16/2006	20:02:37	20:02:48	Quicksilver	chat	Then you explain it! I'm confusing myself!
	05/16/2006	20:03:01	20:03:01	Aznx		[Aznx has fully erased the chat message]
1104	05/16/2006	20:03:02	20:03:05	Aznx	chat	Well
1105	05/16/2006	20:03:06	20:03:11	Aznx	chat	Le'ts explain it together right here
1106	05/16/2006	20:03:17	20:03:18	Quicksilver	chat	Ok
1107	05/16/2006	20:03:12	20:03:18	Aznx	chat	so I can clearly know what I'm writing
1108	05/16/2006	20:03:23	20:03:24	Quicksilver	chat	Yes
1109	05/16/2006	20:03:19	20:03:25	Aznx	chat	What was their first formula?
	05/16/2006	20:03:25	20:03:25	Quicksilver		[Quicksilver has fully erased the chat message]
	05/16/2006		20:03:34	Aznx	wb	[Aznx created a line ]
1110	05/16/2006	20:03:34	20:03:35	Quicksilver	chat	over her	[1] Reference to whiteboard (whiteboardDoc)
	05/16/2006	20:03:35	20:03:36	Quicksilver		[Quicksilver has fully erased the chat message]
1111	05/16/2006	20:03:41	20:04:09	Aznx	chat	So it as n^2+(n+1)*2+n*3-2	[1] Reference to whiteboard ()
1112	05/16/2006	20:04:19	20:04:31	Aznx	chat	and n^2+(n+1)^2
1113	05/16/2006	20:04:33	20:04:34	Quicksilver	chat	yes
1114	05/16/2006	20:04:34	20:04:41	Aznx	chat	I know we've figured out the second one.
1115	05/16/2006	20:04:48	20:04:57	Quicksilver	chat	yes with the trjiangular numbers and stuff
1116	05/16/2006	20:04:59	20:05:03	Quicksilver	chat	i wrote that on the wiki
1117	05/16/2006	20:05:13	20:05:21	Aznx	chat	I'm not sure if we got the first formula though.
1118	05/16/2006	20:05:30	20:05:33	Quicksilver	chat	i don't think we did
1119	05/16/2006	20:06:22	20:06:37	Aznx	chat	(2n-1)^2=the # of squares in the big square
1120	05/16/2006	20:06:45	20:06:46	Aznx	chat	Correct?
1121	05/16/2006	20:06:56	20:06:57	Quicksilver	chat	Yes
1122	05/16/2006	20:07:15	20:07:27	Quicksilver	chat	But that is not in theri equation
1123	05/16/2006	20:07:21	20:07:29	Aznx	chat	So isn't that our first formula right there?
1124	05/16/2006	20:07:35	20:07:36	Aznx	chat	Hold on.
1125	05/16/2006	20:07:35	20:07:39	Quicksilver	chat	no....we want the sides
1126	05/16/2006	20:08:11	20:08:14	Aznx	chat	Read above.
1127	05/16/2006	20:08:16	20:08:24	Aznx	chat	bwang kind of explains it.
1128	05/16/2006	20:08:25	20:08:31	Aznx	chat	I somehow get it, but can't explain it.
1129	05/16/2006	20:08:50	20:08:59	Quicksilver	chat	then lets pick it up next time when bwang can explain it
1130	05/16/2006	20:09:09	20:09:12	Aznx	chat	So leave for today?
1131	05/16/2006	20:09:16	20:09:18	Quicksilver	chat	i suppose
1132	05/16/2006		20:09:19	Quicksilver	chat
1133	05/16/2006		20:09:19	Quicksilver	chat
1134	05/16/2006	20:09:23	20:09:25	Aznx	chat	k bye then
	05/16/2006	20:09:21	20:09:29	Quicksilver		[Quicksilver has fully erased the chat message]
1135	05/16/2006	20:09:29	20:09:30	Quicksilver	chat	ok
1136	05/16/2006	20:09:30	20:09:31	Quicksilver	chat	bye
1137	05/16/2006		20:09:33	Aznx	leaves	leaves the room
1138	05/16/2006		20:09:37	Quicksilver	leaves	leaves the room
1139	05/16/2006		20:09:53	Gerry	leaves	leaves the room
1140	05/16/2006		20:42:43	bwang8	joins	joins the room
	05/16/2006		22:28:23	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:28:58	bwang8	wb	[bwang8 resized some objects ]
	05/16/2006		22:29:01	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:29:08	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:29:16	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:29:20	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:29:23	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:29:27	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:29:30	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:29:33	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:29:34	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:29:37	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:31:05	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:31:10	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:31:12	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:31:14	bwang8	wb	[bwang8 moved some object/s ]
	05/16/2006		22:31:19	bwang8	wb	[bwang8 moved some object/s ]
	05/17/2006	00:18:11	00:18:13	bwang8		[bwang8 has fully erased the chat message]
1141	05/17/2006	00:18:14	00:18:23	bwang8	chat	Sorry i have to leave early
1142	05/17/2006	00:18:26	00:18:56	bwang8	chat	i updated our wiki page to explain the equation from the last session
	05/17/2006		00:29:57	bwang8	START:TextEditing
	05/17/2006		00:30:03	bwang8	END:TextEditing
	05/17/2006		00:30:03	bwang8	START:TextEditing
	05/17/2006		00:30:05	bwang8	END:TextEditing
	05/17/2006		00:30:07	bwang8	wb	[bwang8 moved some object/s ]
	05/17/2006		00:30:08	bwang8	wb	[bwang8 moved some object/s ]
	05/17/2006		00:30:11	bwang8	wb	[bwang8 moved some object/s ]
	05/17/2006		00:30:15	bwang8	START:TextEditing
	05/17/2006		00:32:30	bwang8	END:TextEditing
1143	05/17/2006	00:34:13	00:34:54	bwang8	chat	i also added some stuff, change anything you want
1144	05/17/2006	00:39:49	00:39:55	bwang8	chat	i hope you can read this
1145	05/17/2006		00:39:59	bwang8	leaves	leaves the room
1146	05/17/2006		14:01:20	Gerry	joins	joins the room
1147	05/17/2006		14:26:46	tutor	joins	joins the room
1148	05/17/2006		14:32:44	tutor	joins	joins the room
1149	05/17/2006		14:53:05	tutor	leaves	leaves the room
	05/17/2006		17:31:02	Gerry	START:TextEditing
	05/17/2006		17:31:30	Gerry	END:TextEditing
	05/17/2006		17:31:30	Gerry	wb	[Gerry created a textbox ]
	05/17/2006		17:31:36	Gerry	wb	[Gerry resized some objects ]
	05/17/2006		17:31:40	Gerry	wb	[Gerry resized some objects ]
	05/17/2006		17:31:47	Gerry	wb	[Gerry changed layout ]
1150	05/17/2006	17:32:22	17:32:41	Gerry	chat	Here is some feedback from the VMT mentors.	[1] Reference to whiteboard ()
1151	05/17/2006		17:34:26	Gerry	leaves	leaves the room
1152	05/18/2006		18:35:44	Gerry	joins	joins the room
	05/18/2006		18:37:57	Gerry	START:TextEditing
1153	05/18/2006		18:53:08	bwang8	joins	joins the room
1154	05/18/2006	18:53:20	18:53:20	bwang8	chat	hi
	05/18/2006		18:54:44	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:54:46	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006		18:54:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:54:54	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:54:55	bwang8	wb	[bwang8 resized some objects ]
	05/18/2006		18:54:56	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006	18:55:12	18:55:14	bwang8		[bwang8 has fully erased the chat message]
1155	05/18/2006	18:55:15	18:55:45	bwang8	chat	$sum(1,n,3)=
1156	05/18/2006	18:55:49	18:55:59	bwang8	chat	$sum(1,n,3)=$
	05/18/2006		18:56:15	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006		18:56:17	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006		18:56:19	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006		18:56:23	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006		18:56:29	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:35	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:37	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:38	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:40	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:40	bwang8	wb	[bwang8 resized some objects ]
	05/18/2006		18:56:41	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:42	bwang8	wb	[bwang8 resized some objects ]
	05/18/2006		18:56:42	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:44	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:50	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:52	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:53	bwang8	wb	[bwang8 resized some objects ]
	05/18/2006		18:56:54	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:55	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:56	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:56:57	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		18:57:00	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006		18:57:16	bwang8	wb	[bwang8 moved some object/s ]
1157	05/18/2006	18:57:22	18:57:58	bwang8	chat	$sum(1,n,1) =? 4n(n+1)+(n+1)
1158	05/18/2006		18:58:10	Quicksilver	joins	joins the room
	05/18/2006		18:58:14	Gerry	END:TextEditing
1159	05/18/2006		18:58:29	Quicksilver	leaves	leaves the room
	05/18/2006	18:58:06	18:58:38	bwang8		[bwang8 has fully erased the chat message]
1160	05/18/2006	18:58:41	18:58:42	bwang8	chat	$sum(1,n,1) =? 4n(n+1)+(n+1)$	[1] Reference to message No. 1157 (Text: $sum(1,n,1) =? 4n(n+1)+(n+1) )
1161	05/18/2006	18:58:47	18:58:52	bwang8	chat	$sum(1,n,1)=4n(n+1)+(n+1)$
1162	05/18/2006	18:59:02	18:59:09	bwang8	chat	$sum(1,n,1)= 4n(n+1)+(n+1)$
1163	05/18/2006	18:59:14	18:59:28	bwang8	chat	$sum(1,n,1)=?4n(n+1)+(n+1)$
1164	05/18/2006	18:59:30	18:59:34	bwang8	chat	$sum(1,n,1)= 4n(n+1)+(n+1)$
1165	05/18/2006	18:59:50	18:59:59	bwang8	chat	$sum(n=1,n,1)=4n(n+1)+(n+1)$
1166	05/18/2006		19:00:10	Quicksilver	joins	joins the room
	05/18/2006	19:00:05	19:00:15	bwang8		[bwang8 has fully erased the chat message]
1167	05/18/2006	19:00:16	19:00:17	bwang8	chat	hi
1168	05/18/2006		19:00:26	Aznx	joins	joins the room
1169	05/18/2006	19:00:15	19:00:26	Quicksilver	chat	lol aznx joined the lobby at exactly 4 pm.
1170	05/18/2006	19:00:34	19:00:35	bwang8	chat	lol
1171	05/18/2006	19:00:36	19:00:36	bwang8	chat	ok
1172	05/18/2006	19:00:39	19:00:49	bwang8	chat	do the rewind button on the chat thing
1173	05/18/2006	19:00:44	19:00:55	Gerry	chat	lol. U guys are punctual
1174	05/18/2006	19:00:56	19:00:58	Aznx	chat	Hey everyone
	05/18/2006	19:00:50	19:00:58	bwang8		[bwang8 has fully erased the chat message]
1175	05/18/2006		19:01:03	Aznx	leaves	leaves the room
1176	05/18/2006	19:01:02	19:01:03	bwang8	chat	hi
1177	05/18/2006	19:01:05	19:01:05	Quicksilver	chat	hey
1178	05/18/2006		19:01:07	Aznx	joins	joins the room
1179	05/18/2006	19:01:09	19:01:10	Quicksilver	chat	thanks	[1] Reference to message No. 1173 (Text: lol. U guys are punctual )
1180	05/18/2006		19:01:41	Aznx	leaves	leaves the room
1181	05/18/2006	19:01:45	19:01:45	bwang8	chat	?
1182	05/18/2006		19:01:47	Aznx	joins	joins the room
1183	05/18/2006	19:01:25	19:01:48	Gerry	chat	Can everyone see the purple feedback? Someone moved it over a bit
	05/18/2006		19:01:49	Quicksilver	wb	[Quicksilver moved some object/s ]
1184	05/18/2006	19:01:56	19:01:56	bwang8	chat	ywa
1185	05/18/2006	19:01:58	19:01:58	bwang8	chat	yes
1186	05/18/2006	19:02:00	19:02:01	Quicksilver	chat	yes
1187	05/18/2006	19:02:21	19:02:28	bwang8	chat	$sum(n=1,n,1)=4*n(n+1)+(n+1)$
1188	05/18/2006	19:02:31	19:02:32	Aznx	chat	test
1189	05/18/2006	19:02:35	19:02:36	bwang8	chat	test
1190	05/18/2006	19:02:34	19:02:38	Aznx	chat	I can't see my own messages
	05/18/2006	19:02:39	19:02:41	Quicksilver		[Quicksilver has fully erased the chat message]
1191	05/18/2006	19:02:41	19:02:43	Quicksilver	chat	i can
1192	05/18/2006	19:02:40	19:02:44	Aznx	chat	I'm going to log out
1193	05/18/2006	19:02:45	19:02:46	Aznx	chat	completely
1194	05/18/2006	19:02:47	19:02:48	Quicksilver	chat	ok
	05/18/2006	19:02:49	19:02:51	bwang8		[bwang8 has fully erased the chat message]
1195	05/18/2006	19:02:47	19:02:52	Aznx	chat	and try back logging in
	05/18/2006	19:02:52	19:02:52	Aznx		[Aznx has fully erased the chat message]
1196	05/18/2006	19:02:52	19:02:52	bwang8	chat	ok
1197	05/18/2006	19:02:52	19:02:53	Aznx	chat	hold on
	05/18/2006	19:02:50	19:02:55	Quicksilver		[Quicksilver has fully erased the chat message]
1198	05/18/2006	19:02:56	19:02:56	Quicksilver	chat	k
1199	05/18/2006	19:02:54	19:02:56	Aznx	chat	yay
1200	05/18/2006	19:02:57	19:02:59	Aznx	chat	it loaded!
1201	05/18/2006	19:03:00	19:03:01	Aznx	chat	=D
1202	05/18/2006	19:03:07	19:03:09	bwang8	chat	great
	05/18/2006		19:03:28	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/18/2006		19:03:40	bwang8	START:TextEditing
1203	05/18/2006	19:03:36	19:03:44	Quicksilver	chat	for this session, it says to revisit an old problem
	05/18/2006		19:03:44	bwang8	END:TextEditing
	05/18/2006		19:03:45	bwang8	wb	[bwang8 created a textbox ]
	05/18/2006		19:03:49	bwang8	wb	[bwang8 deleted some object/s ]
1204	05/18/2006	19:04:09	19:04:10	Aznx	chat	Hm.
1205	05/18/2006	19:04:11	19:04:16	Aznx	chat	Let's make a new problem
	05/18/2006		19:04:16	Quicksilver	wb	[Quicksilver resized some objects ]
1206	05/18/2006	19:03:57	19:04:18	bwang8	chat	the pryamid one that we didn't finish last time
1207	05/18/2006	19:04:17	19:04:21	Aznx	chat	Not necessarily 3-D
1208	05/18/2006	19:04:25	19:04:26	Aznx	chat	Yeah
	05/18/2006	19:04:25	19:04:26	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:04:27	19:04:29	Quicksilver		[Quicksilver has fully erased the chat message]
1209	05/18/2006	19:04:30	19:04:31	Quicksilver	chat	ok
1210	05/18/2006	19:04:28	19:04:32	Aznx	chat	let's do the pyramid one
1211	05/18/2006		19:04:35	Quicksilver	chat
	05/18/2006	19:04:39	19:04:39	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:04:50	19:04:56	Quicksilver		[Quicksilver has fully erased the chat message]
1212	05/18/2006	19:05:03	19:05:09	Aznx	chat	How do you remove things from the board?
	05/18/2006		19:05:10	Quicksilver	START:TextEditing
1213	05/18/2006	19:05:14	19:05:18	Quicksilver	chat	u select and delete
1214	05/18/2006	19:05:01	19:05:22	bwang8	chat	it is the 2 flat sided pyramid
	05/18/2006	19:05:28	19:05:32	bwang8		[bwang8 has fully erased the chat message]
1215	05/18/2006	19:05:28	19:05:34	Quicksilver	chat	oh yes....like the corner of a room
	05/18/2006		19:05:36	Aznx	wb	[Aznx moved some object/s ]
1216	05/18/2006	19:05:33	19:05:42	bwang8	chat	by the way check out our wiki page
1217	05/18/2006	19:05:43	19:05:45	Aznx	chat	How do you delete?
1218	05/18/2006	19:05:45	19:05:45	Quicksilver	chat	ok
1219	05/18/2006		19:05:46	Quicksilver	chat
1220	05/18/2006	19:05:43	19:05:48	bwang8	chat	i updated some stuff
1221	05/18/2006	19:05:49	19:05:52	Aznx	chat	I see how you select.
1222	05/18/2006	19:05:56	19:05:58	Aznx	chat	But how to delete?
1223	05/18/2006	19:05:56	19:06:06	bwang8	chat	del button on your keyboard would work
	05/18/2006	19:06:07	19:06:10	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006		19:06:10	Aznx	wb	[Aznx deleted some object/s ]
1224	05/18/2006	19:06:10	19:06:11	Quicksilver	chat	yea
	05/18/2006		19:06:12	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:14	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:15	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:16	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:17	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:18	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:19	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:21	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:06:22	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:22	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:23	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:25	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:26	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:27	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:28	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:29	Aznx	wb	[Aznx resized some objects ]
	05/18/2006	19:06:11	19:06:29	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006		19:06:29	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:30	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:31	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:32	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:06:32	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:35	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:06:36	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:36	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:37	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:39	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:06:39	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:40	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:41	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:06:42	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:43	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:45	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:46	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:52	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:54	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:57	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:58	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:06:59	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:07:00	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:07:01	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:07:03	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:07:04	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:07:05	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:07:05	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:07:06	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:07:07	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:07:07	Aznx	wb	[Aznx deleted some object/s ]
1225	05/18/2006	19:06:42	19:07:07	bwang8	chat	can someone make our wiki page clearer
	05/18/2006		19:07:09	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006	19:07:08	19:07:10	bwang8		[bwang8 has fully erased the chat message]
	05/18/2006		19:07:11	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:07:13	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:07:14	Aznx	wb	[Aznx deleted some object/s ]
1226	05/18/2006	19:07:11	19:07:19	bwang8	chat	i can't explain it clear enough
1227	05/18/2006	19:07:18	19:07:25	Quicksilver	chat	indranil can u stop delelting for a sec
	05/18/2006	19:07:23	19:07:26	Aznx		[Aznx has fully erased the chat message]
	05/18/2006		19:07:38	bwang8	wb	[bwang8 moved some object/s ]
1228	05/18/2006	19:07:31	19:07:39	Quicksilver	chat	i can't even see anything for team b on the wiki
1229	05/18/2006	19:07:28	19:07:39	Aznx	chat	Should I delete the session II board?
	05/18/2006		19:07:41	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006		19:07:46	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006		19:07:48	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006		19:07:51	bwang8	wb	[bwang8 moved some object/s ]
1230	05/18/2006	19:07:50	19:07:55	Quicksilver	chat	just minimize
	05/18/2006		19:07:57	Quicksilver	END:TextEditing
	05/18/2006		19:07:57	Quicksilver	wb	[Quicksilver changed the text to: We started doing the problems you were doing and got very interested in them. We did not always arrive at the same answers and we weren't always able to decide if we were looking at it in the same way that you were, but we liked working "with you" in this sense. From our perspective, the goal has not been for you to answer “our” problems, but for you to figure out math questions that interest you and to pursue them. That is why we set the challenge for the iPod as having your group excel at collaboration, not at finding some answers. You seem to have pursued some interesting questions and are all contributing and also making use of each other’s ideas. It is sometimes hard for us to tell what you are writing and thinking. It seems that there are times when you say you are following each other, but it is not clear that you are really in agreement or completely understand each other. You might actually discover some more math if you state things in more detail – to be completely sure you are in agreement. For session four, you could revisit a problem you were working on before, in order to state more clearly for other groups in the wiki: (a) a definition of your problem, (b) a solution and (c) how you solved the problem. Or you could try a new variation of these pattern problems, like a 3-D version of group C’s diamond pattern. It is up to you to pursue whatever most interests you and what enables you to improve and enjoy your ability to work together. As you know, one hour goes by pretty quickly, so it’s easy to run out of time for a complicated problem. Be creative and enjoy the session. i say wehatthat works for mehat wodbjustmiz ]
	05/18/2006		19:08:00	Quicksilver	wb	[Quicksilver resized some objects ]
	05/18/2006		19:08:03	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/18/2006		19:08:04	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/18/2006		19:08:07	Quicksilver	wb	[Quicksilver resized some objects ]
	05/18/2006		19:08:10	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/18/2006		19:08:12	Quicksilver	wb	[Quicksilver resized some objects ]
1231	05/18/2006	19:08:13	19:08:14	bwang8	chat	ok
1232	05/18/2006	19:08:16	19:08:16	Aznx	chat	ok
1233	05/18/2006	19:08:20	19:08:27	Quicksilver	chat	i don't see anything on the wiki for team b
1234	05/18/2006	19:08:32	19:08:33	bwang8	chat	?
	05/18/2006		19:08:35	Quicksilver	wb	[Quicksilver resized some objects ]
	05/18/2006		19:08:38	Quicksilver	wb	[Quicksilver moved some object/s ]
1235	05/18/2006	19:08:41	19:08:43	Quicksilver	chat	i see team a and c
1236	05/18/2006	19:08:44	19:08:46	Quicksilver	chat	but i don't see team b
1237	05/18/2006	19:09:04	19:09:04	Aznx	chat	?
1238	05/18/2006	19:09:03	19:09:04	bwang8	chat	which page
1239	05/18/2006	19:09:07	19:09:08	bwang8	chat	are yuou on
1240	05/18/2006	19:09:19	19:09:20	Quicksilver	chat	o wait...
1241	05/18/2006	19:09:21	19:09:26	Quicksilver	chat	I'm on patterns fo the sticks
1242	05/18/2006	19:10:03	19:10:05	Aznx	chat	I see it.
1243	05/18/2006	19:10:05	19:10:06	Quicksilver	chat	k got it
	05/18/2006		19:10:19	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006	19:10:39	19:10:44	Aznx		[Aznx has fully erased the chat message]
	05/18/2006		19:10:46	Quicksilver	wb	[Quicksilver resized some objects ]
1244	05/18/2006	19:10:02	19:10:46	Gerry	chat	click on the wiki "Index" -- you might want http://mathforum.org/wiki/VMTStudents/VMTStudents?OtherSticksProblemIdeas
1245	05/18/2006	19:10:52	19:11:02	Quicksilver	chat	i got it already, but thanks	[1] Reference to message No. 1244 (Text: click on the wiki "Index" -- you might want http://mathforum.org/wiki/VMTStudents/VMTStudents?OtherSticksProblemIdeas )
	05/18/2006		19:11:08	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/18/2006		19:11:11	Quicksilver	wb	[Quicksilver resized some objects ]
	05/18/2006		19:11:14	Quicksilver	wb	[Quicksilver resized some objects ]
	05/18/2006		19:11:17	Quicksilver	wb	[Quicksilver resized some objects ]
	05/18/2006		19:11:26	Quicksilver	wb	[Quicksilver resized some objects ]
	05/18/2006	19:11:34	19:11:36	bwang8		[bwang8 has fully erased the chat message]
1246	05/18/2006	19:11:39	19:11:46	Quicksilver	chat	what happened at the bottom of the comments?
	05/18/2006		19:11:47	Quicksilver	wb	[Quicksilver moved some object/s ]
1247	05/18/2006	19:11:53	19:11:54	Aznx	chat	Ok.
1248	05/18/2006	19:11:55	19:12:00	Aznx	chat	Let's first discuss about the feedback.
	05/18/2006	19:11:38	19:12:05	bwang8		[bwang8 has fully erased the chat message]
1249	05/18/2006	19:12:06	19:12:06	bwang8	chat	ok
1250	05/18/2006	19:12:02	19:12:06	Aznx	chat	As usual, what do you guys think?
1251	05/18/2006	19:12:08	19:12:18	bwang8	chat	yeah, we didn't work that well last seesion
1252	05/18/2006	19:12:22	19:12:38	bwang8	chat	i don't think we understand each other's point
	05/18/2006	19:12:41	19:12:42	bwang8		[bwang8 has fully erased the chat message]
1253	05/18/2006	19:12:46	19:12:51	Aznx	chat	I kind of agree and disagree.
	05/18/2006	19:12:16	19:12:51	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:12:52	19:12:55	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006		19:12:57	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006	19:12:56	19:12:58	Quicksilver		[Quicksilver has fully erased the chat message]
1254	05/18/2006	19:12:58	19:12:59	Quicksilver	chat	same
1255	05/18/2006	19:12:59	19:13:12	Quicksilver	chat	because sometimes we weren't clear on waht the problem actually was
1256	05/18/2006	19:12:53	19:13:14	Aznx	chat	I disagree because soemtimes, by having a different aspect of the other person's point of view, you come up with a new conecpt bof the problem.
	05/18/2006	19:13:12	19:13:17	Quicksilver		[Quicksilver has fully erased the chat message]
1257	05/18/2006	19:13:22	19:13:23	bwang8	chat	ok
1258	05/18/2006	19:13:33	19:13:34	Quicksilver	chat	yea
1259	05/18/2006	19:13:26	19:13:39	Aznx	chat	This would allow us to further investigate not only the answer, but the reason behind it.
1260	05/18/2006	19:13:35	19:13:52	Quicksilver	chat	we might understand the person differentyly than the other person would	[1] Reference to message No. 1256 (Text: I disagree because soemtimes, by having a different aspect of the other person's point of view, you come up with a new conecpt bof the problem. )
1261	05/18/2006	19:13:43	19:13:56	Aznx	chat	Plus, it become much easier to draw more problems similar to it from just one problem.
	05/18/2006	19:14:06	19:14:07	bwang8		[bwang8 has fully erased the chat message]
1262	05/18/2006	19:14:08	19:14:10	bwang8	chat	yeah
1263	05/18/2006	19:14:02	19:14:17	Quicksilver	chat	yes...but at the same time we can't really focus in on one problem
1264	05/18/2006	19:14:18	19:14:23	Quicksilver	chat	but it is good we are finding similarities
1265	05/18/2006	19:14:26	19:14:28	Quicksilver	chat	to other problems
1266	05/18/2006	19:14:23	19:14:38	bwang8	chat	let's just focus on diamond problem today
1267	05/18/2006	19:14:36	19:14:44	Aznx	chat	So let's really focus on the pyramid.
1268	05/18/2006	19:14:39	19:14:48	bwang8	chat	we almost got the solution last seesion
1269	05/18/2006	19:14:48	19:14:49	Quicksilver	chat	lol
1270	05/18/2006	19:14:46	19:14:49	Aznx	chat	Diamond or pyramid?
1271	05/18/2006	19:14:53	19:14:55	bwang8	chat	diamond
1272	05/18/2006	19:14:58	19:14:59	Aznx	chat	aditya?
1273	05/18/2006	19:14:55	19:15:02	bwang8	chat	because we worked on it longer
1274	05/18/2006	19:15:02	19:15:03	Quicksilver	chat	diamond
	05/18/2006	19:15:04	19:15:06	Quicksilver		[Quicksilver has fully erased the chat message]
1275	05/18/2006	19:15:06	19:15:08	Aznx	chat	agreed then
	05/18/2006	19:15:06	19:15:09	bwang8		[bwang8 has fully erased the chat message]
1276	05/18/2006	19:15:11	19:15:11	bwang8	chat	ok
1277	05/18/2006	19:15:06	19:15:13	Quicksilver	chat	we have a more thorough understanding of it
1278	05/18/2006	19:15:17	19:15:18	bwang8	chat	yeah
	05/18/2006	19:15:27	19:15:30	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006		19:15:37	Quicksilver	wb	[Quicksilver resized some objects ]
	05/18/2006		19:15:42	Quicksilver	wb	[Quicksilver moved some object/s ]
1279	05/18/2006	19:15:54	19:15:57	Quicksilver	chat	so where were we?
1280	05/18/2006	19:15:23	19:16:00	bwang8	chat	so right now we know that we must calculate the number of squares on each level by making a big square and minus the 4 extra corners
1281	05/18/2006	19:15:22	19:16:03	Aznx	chat	I'd say, we work on the pyramid problem, solve it thoroughly, and then state the solution as they suggested in the feedback. Then, if we have enough time, which probably will ,we'll sytart on the pyramid problem.
	05/18/2006	19:16:14	19:16:15	Quicksilver		[Quicksilver has fully erased the chat message]
1282	05/18/2006	19:16:16	19:16:21	Quicksilver	chat	u said two pyramid problems?
1283	05/18/2006	19:16:24	19:16:27	Quicksilver	chat	read ur thing again	[1] Reference to message No. 1281 (Text: I'd say, we work on the pyramid problem, solve it thoroughly, and then state the solution as they suggested in the feedback. Then, if we have enough time, which probably will ,we'll sytart on the pyramid problem. )
1284	05/18/2006	19:16:27	19:16:27	Aznx	chat	OOps
1285	05/18/2006	19:16:30	19:16:34	Aznx	chat	I meant in the first part
1286	05/18/2006	19:16:34	19:16:37	Aznx	chat	the diamond problem
1287	05/18/2006	19:16:38	19:16:41	Aznx	chat	not the pyramid
1288	05/18/2006	19:16:41	19:16:41	bwang8	chat	lol	[1] Reference to message No. 1281 (Text: I'd say, we work on the pyramid problem, solve it thoroughly, and then state the solution as they suggested in the feedback. Then, if we have enough time, which probably will ,we'll sytart on the pyramid problem. )
1289	05/18/2006	19:16:41	19:16:45	Quicksilver	chat	so do diamond?
	05/18/2006		19:16:48	bwang8	wb	[bwang8 moved some object/s ]
1290	05/18/2006	19:16:43	19:16:49	Aznx	chat	so we first work on the diamond solutions
	05/18/2006		19:16:49	bwang8	wb	[bwang8 moved some object/s ]
1291	05/18/2006	19:16:51	19:16:51	Aznx	chat	yeah
1292	05/18/2006	19:16:52	19:16:57	Aznx	chat	we pretty much solved it didnt we?
1293	05/18/2006	19:17:05	19:17:09	bwang8	chat	yeah
1294	05/18/2006	19:17:05	19:17:11	Aznx	chat	Well 50% of it I should say.
	05/18/2006	19:17:09	19:17:15	bwang8		[bwang8 has fully erased the chat message]
1295	05/18/2006	19:17:02	19:17:15	Quicksilver	chat	lets just recap the process
1296	05/18/2006	19:17:16	19:17:27	Quicksilver	chat	from the point of view who had never seen this problem
1297	05/18/2006	19:17:16	19:17:32	bwang8	chat	we know how to calculate the big square in a level
1298	05/18/2006	19:17:43	19:17:44	Quicksilver	chat	ok hold on
1299	05/18/2006	19:17:45	19:17:50	bwang8	chat	as in this	[1] Reference to whiteboard (whiteboardDoc)
1300	05/18/2006	19:17:54	19:17:56	bwang8	chat	whole thing
1301	05/18/2006	19:17:45	19:17:57	Quicksilver	chat	our objective is to find the amount of squares and sticks in each level righrt?
	05/18/2006	19:17:59	19:18:01	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:17:57	19:18:02	bwang8		[bwang8 has fully erased the chat message]
1302	05/18/2006	19:18:02	19:18:03	bwang8	chat	yeo
1303	05/18/2006	19:18:04	19:18:04	bwang8	chat	yep
	05/18/2006	19:18:02	19:18:07	Quicksilver		[Quicksilver has fully erased the chat message]
1304	05/18/2006	19:18:01	19:18:08	Aznx	chat	Yeah, intending that it is n.
1305	05/18/2006	19:18:08	19:18:10	Quicksilver	chat	that was stpe a
1306	05/18/2006	19:18:13	19:18:15	Quicksilver	chat	from the comments
1307	05/18/2006	19:18:15	19:18:18	Aznx	chat	no, step one
1308	05/18/2006	19:18:17	19:18:21	Quicksilver	chat	we defined the problem
	05/18/2006	19:18:22	19:18:23	Quicksilver		[Quicksilver has fully erased the chat message]
1309	05/18/2006	19:18:25	19:18:26	Aznx	chat	oh
1310	05/18/2006	19:18:27	19:18:27	Aznx	chat	yes
	05/18/2006		19:18:31	bwang8	START:TextEditing
1311	05/18/2006	19:18:36	19:18:40	Quicksilver	chat	lets put that in the wiki now\
1312	05/18/2006	19:18:41	19:18:45	Aznx	chat	So we dfined the problem.
	05/18/2006	19:18:42	19:18:48	Quicksilver		[Quicksilver has fully erased the chat message]
1313	05/18/2006	19:18:49	19:18:50	Aznx	chat	Hold on.
	05/18/2006	19:18:51	19:18:51	Aznx		[Aznx has fully erased the chat message]
1314	05/18/2006	19:18:51	19:18:56	Aznx	chat	Let's finish the ewntire thing up first.
	05/18/2006		19:19:01	bwang8	END:TextEditing
	05/18/2006		19:19:01	bwang8	wb	[bwang8 created a textbox ]
1315	05/18/2006	19:18:57	19:19:04	Aznx	chat	We can always look back if we mess up.
	05/18/2006	19:18:51	19:19:06	Quicksilver		[Quicksilver has fully erased the chat message]
1316	05/18/2006	19:19:06	19:19:07	Quicksilver	chat	ok
1317	05/18/2006	19:19:13	19:19:24	bwang8	chat	the formula is correct, right?
1318	05/18/2006	19:19:14	19:19:24	Aznx	chat	So now we should focus on integrating the solutioni and how we found it.
1319	05/18/2006	19:19:41	19:19:42	Quicksilver	chat	yup
1320	05/18/2006	19:19:42	19:19:44	bwang8	chat	this one	[1] Reference to whiteboard ()
1321	05/18/2006	19:19:46	19:19:47	bwang8	chat	ok
1322	05/18/2006	19:19:46	19:19:47	Aznx	chat	Yeah.
1323	05/18/2006	19:19:48	19:19:55	Aznx	chat	We can always double check, and it's darn right.
1324	05/18/2006	19:19:56	19:20:05	Aznx	chat	So we solve it by really looking at a bigger picture.
1325	05/18/2006	19:20:10	19:20:15	Quicksilver	chat	or bigger square in this case
1326	05/18/2006	19:20:12	19:20:20	Aznx	chat	In this case, the "square" itself.
1327	05/18/2006	19:20:22	19:20:23	Aznx	chat	Yeah.
1328	05/18/2006	19:19:52	19:20:34	bwang8	chat	i think the 4 corner is growing like this
1329	05/18/2006	19:20:35	19:20:43	bwang8	chat	0,1,3,6,10
1330	05/18/2006	19:20:44	19:20:48	bwang8	chat	what is the pattern
	05/18/2006	19:20:49	19:20:51	bwang8		[bwang8 has fully erased the chat message]
1331	05/18/2006	19:20:53	19:20:56	Aznx	chat	Triagnular numbers.
1332	05/18/2006	19:20:52	19:20:58	Quicksilver	chat	triangular numbers!
1333	05/18/2006	19:20:59	19:21:00	bwang8	chat	yep
1334	05/18/2006	19:20:57	19:21:03	Aznx	chat	We had already figured that out.
	05/18/2006	19:21:08	19:21:10	Quicksilver		[Quicksilver has fully erased the chat message]
1335	05/18/2006	19:21:01	19:21:10	bwang8	chat	we can use the equation from session 1
1336	05/18/2006	19:21:10	19:21:11	Quicksilver	chat	yes
1337	05/18/2006	19:21:19	19:21:20	Aznx	chat	Yup.
1338	05/18/2006	19:21:35	19:21:36	bwang8	chat	n(n+1)/2
	05/18/2006		19:21:39	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/18/2006		19:21:41	Quicksilver	wb	[Quicksilver moved some object/s ]
	05/18/2006		19:21:43	Quicksilver	START:TextEditing
	05/18/2006		19:21:47	Quicksilver	END:TextEditing
	05/18/2006		19:21:54	Aznx	wb	[Aznx moved some object/s ]
1339	05/18/2006	19:21:44	19:21:56	bwang8	chat	4*n(n+1)/2= the four corners
1340	05/18/2006	19:21:53	19:21:57	Quicksilver	chat	this right?	[1] Reference to whiteboard (whiteboardDoc)
	05/18/2006		19:21:59	Aznx	wb	[Aznx moved some object/s ]
	05/18/2006		19:22:01	Aznx	wb	[Aznx moved some object/s ]
1341	05/18/2006	19:22:01	19:22:03	bwang8	chat	yes
	05/18/2006	19:22:03	19:22:03	Quicksilver		[Quicksilver has fully erased the chat message]
1342	05/18/2006	19:22:05	19:22:06	Aznx	chat	Yeah
	05/18/2006	19:22:04	19:22:06	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006		19:22:14	bwang8	START:TextEditing
1343	05/18/2006	19:22:18	19:22:28	bwang8	chat	(2n-1)^2-2n(n-1)	[1] Reference to whiteboard ()
1344	05/18/2006	19:22:41	19:22:48	bwang8	chat	this is the equation for each level
	05/18/2006		19:22:51	bwang8	END:TextEditing
1345	05/18/2006	19:22:28	19:22:52	Aznx	chat	So how do we know what to mulitply/change the formula by?
	05/18/2006	19:22:53	19:23:00	Aznx		[Aznx has fully erased the chat message]
1346	05/18/2006	19:22:57	19:23:04	Quicksilver	chat	we can use the brute force method
	05/18/2006	19:23:01	19:23:07	Aznx		[Aznx has fully erased the chat message]
1347	05/18/2006	19:23:08	19:23:15	Quicksilver	chat	burt im sure there's a better wayu
1348	05/18/2006	19:23:14	19:23:19	bwang8	chat	wait what do you mean
1349	05/18/2006	19:23:11	19:23:19	Aznx	chat	Suppose we didn't know the formula.
1350	05/18/2006	19:23:29	19:23:36	Quicksilver	chat	hmm..
1351	05/18/2006	19:23:34	19:23:39	Aznx	chat	Not n(n+1)/2
1352	05/18/2006	19:23:44	19:23:47	Quicksilver	chat	so we don't know that?
1353	05/18/2006	19:23:28	19:23:50	bwang8	chat	can you explain this	[1] Reference to message No. 1345 (Text: So how do we know what to mulitply/change the formula by? )
	05/18/2006	19:23:45	19:23:55	Aznx		[Aznx has fully erased the chat message]
1354	05/18/2006	19:23:56	19:23:57	Aznx	chat	look
	05/18/2006	19:23:57	19:24:01	bwang8		[bwang8 has fully erased the chat message]
1355	05/18/2006	19:23:58	19:24:02	Quicksilver	chat	he means as the levels increase
1356	05/18/2006	19:23:58	19:24:06	Aznx	chat	first there's n(n+1)/2 right?
1357	05/18/2006	19:24:04	19:24:09	Quicksilver	chat	what is the pattern
1358	05/18/2006	19:24:10	19:24:12	Aznx	chat	So now we nkow
1359	05/18/2006	19:24:12	19:24:19	Aznx	chat	that the number of squares in the pattern
	05/18/2006	19:24:18	19:24:19	Quicksilver		[Quicksilver has fully erased the chat message]
1360	05/18/2006	19:24:20	19:24:24	Aznx	chat	is related to this formula
	05/18/2006	19:24:30	19:24:32	bwang8		[bwang8 has fully erased the chat message]
1361	05/18/2006	19:24:25	19:24:32	Aznx	chat	becuase the numbers are triangular numbers
1362	05/18/2006	19:24:37	19:24:43	Aznx	chat	So from there, what do we know what to do?
	05/18/2006	19:24:48	19:24:52	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:24:53	19:24:57	Quicksilver		[Quicksilver has fully erased the chat message]
1363	05/18/2006	19:24:59	19:25:13	bwang8	chat	n(n+1)/2*4
	05/18/2006	19:25:19	19:25:21	bwang8		[bwang8 has fully erased the chat message]
	05/18/2006	19:25:23	19:25:25	Quicksilver		[Quicksilver has fully erased the chat message]
1364	05/18/2006	19:25:25	19:25:28	Quicksilver	chat	because of four corners
1365	05/18/2006	19:25:29	19:25:30	Quicksilver	chat	right?
1366	05/18/2006	19:25:21	19:25:36	bwang8	chat	that is the number of squares in four corners
1367	05/18/2006	19:25:40	19:25:40	Quicksilver	chat	ok
1368	05/18/2006	19:25:37	19:25:43	Aznx	chat	But that's not what it ends up to be.
	05/18/2006		19:25:52	bwang8	START:TextEditing
1369	05/18/2006	19:25:49	19:25:56	Aznx	chat	If you double check with our already-given formula
1370	05/18/2006	19:25:58	19:26:00	Quicksilver	chat	why?
	05/18/2006	19:25:57	19:26:03	Aznx		[Aznx has fully erased the chat message]
1371	05/18/2006	19:26:05	19:26:07	Aznx	chat	It's this
1372	05/18/2006	19:26:10	19:26:12	Quicksilver	chat	oh yeah
1373	05/18/2006	19:26:12	19:26:14	Quicksilver	chat	it doesn't work
	05/18/2006		19:26:15	bwang8	END:TextEditing
	05/18/2006		19:26:15	bwang8	wb	[bwang8 changed the text to: big square: (2n-1)^2 4 corners: n(n+1)/2*4 ]
1374	05/18/2006	19:26:14	19:26:16	Aznx	chat	The first one	[1] Reference to whiteboard ()
	05/18/2006	19:26:20	19:26:23	bwang8		[bwang8 has fully erased the chat message]
	05/18/2006	19:26:18	19:26:24	Aznx		[Aznx has fully erased the chat message]
1375	05/18/2006	19:26:26	19:26:29	bwang8	chat	no
1376	05/18/2006	19:26:30	19:26:39	bwang8	chat	it is the second one that calculate the square
	05/18/2006	19:26:35	19:26:46	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:26:51	19:26:53	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:26:54	19:26:56	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:27:03	19:27:05	Quicksilver		[Quicksilver has fully erased the chat message]
1377	05/18/2006	19:27:06	19:27:11	Quicksilver	chat	are you talking about this?	[1] Reference to whiteboard ()
1378	05/18/2006	19:27:17	19:27:21	Aznx	chat	Then what's the first one for?
	05/18/2006	19:27:18	19:27:24	Quicksilver		[Quicksilver has fully erased the chat message]
1379	05/18/2006	19:27:25	19:27:27	Quicksilver	chat	the sticks\
	05/18/2006	19:27:26	19:27:29	Aznx		[Aznx has fully erased the chat message]
1380	05/18/2006	19:27:30	19:27:33	Aznx	chat	Oh!
1381	05/18/2006	19:27:34	19:27:40	Aznx	chat	Then the formula makes sense.
1382	05/18/2006	19:27:39	19:27:45	Quicksilver	chat	but pretend we don't know those yet
1383	05/18/2006	19:27:44	19:27:47	Aznx	chat	Yeah, I got it.
	05/18/2006	19:27:46	19:27:47	bwang8		[bwang8 has fully erased the chat message]
1384	05/18/2006	19:27:50	19:27:51	bwang8	chat	lol
1385	05/18/2006	19:27:55	19:28:01	Aznx	chat	I got confused with all the formulas lol.
	05/18/2006	19:28:07	19:28:10	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006		19:28:13	bwang8	START:TextEditing
1386	05/18/2006	19:28:12	19:28:16	Quicksilver	chat	i suppose so
	05/18/2006	19:28:19	19:28:19	Aznx		[Aznx has fully erased the chat message]
1387	05/18/2006	19:28:19	19:28:22	Aznx	chat	So is that all?
1388	05/18/2006	19:28:29	19:28:37	Quicksilver	chat	what is the actual solution then? those equations?
1389	05/18/2006	19:28:41	19:28:43	Aznx	chat	Yeah.
	05/18/2006		19:28:50	bwang8	END:TextEditing
	05/18/2006		19:28:50	bwang8	wb	[bwang8 changed the text to: big square: (2n-1)^2 4 corners: n(n+1)/2*4 (2n-1)^2-n(n+1)/2*4 ]
1390	05/18/2006	19:28:46	19:28:59	Quicksilver	chat	but when we put in the wiki how we did it....what will we write
1391	05/18/2006	19:29:19	19:29:20	Aznx	chat	Um.
	05/18/2006	19:29:21	19:29:25	Aznx		[Aznx has fully erased the chat message]
1392	05/18/2006	19:29:38	19:29:42	Aznx	chat	I don't know how to exactly word it.
1393	05/18/2006	19:29:26	19:29:46	Quicksilver	chat	(a) was define the problem, (b) was the solution which we got...
1394	05/18/2006	19:29:07	19:29:48	bwang8	chat	we calculated the # of square if the diamond makes a perfect square
1395	05/18/2006	19:29:44	19:29:48	Aznx	chat	We can define the problem.
	05/18/2006	19:29:48	19:29:50	Quicksilver		[Quicksilver has fully erased the chat message]
1396	05/18/2006	19:29:50	19:29:55	Aznx	chat	We got the solutions.
	05/18/2006	19:30:03	19:30:08	Quicksilver		[Quicksilver has fully erased the chat message]
1397	05/18/2006	19:30:11	19:30:12	Quicksilver	chat	yes
1398	05/18/2006	19:30:12	19:30:16	Quicksilver	chat	the added corners
1399	05/18/2006	19:29:56	19:30:18	Aznx	chat	But I'm not sure how to explain how we got to the solutions, although it makes prefect sense to me.
1400	05/18/2006	19:30:17	19:30:19	Quicksilver	chat	to make a square
1401	05/18/2006	19:30:20	19:30:24	Aznx	chat	I'm just not sure how to explain it.
1402	05/18/2006	19:30:20	19:30:25	Quicksilver	chat	and we found those were triangular numbers
1403	05/18/2006	19:30:25	19:30:32	Aznx	chat	Well, I can explain the second formula.
1404	05/18/2006	19:30:31	19:30:35	Quicksilver	chat	lets go step by step
1405	05/18/2006	19:30:36	19:30:37	Quicksilver	chat	NO!
1406	05/18/2006	19:30:38	19:30:42	Quicksilver	chat	we don't know hte second formula
	05/18/2006	19:30:43	19:30:44	Quicksilver		[Quicksilver has fully erased the chat message]
1407	05/18/2006	19:30:33	19:30:45	Aznx	chat	It was done through the method of finsing the pattern of triangular #s.
	05/18/2006	19:30:45	19:30:48	Quicksilver		[Quicksilver has fully erased the chat message]
1408	05/18/2006	19:30:49	19:30:50	Aznx	chat	Yes we do.
1409	05/18/2006	19:30:55	19:30:55	Quicksilver	chat	?
1410	05/18/2006	19:30:51	19:30:56	Aznx	chat	Suppose their second formula is our third.
1411	05/18/2006	19:30:56	19:31:06	Quicksilver	chat	That was taem c's tho
1412	05/18/2006	19:31:11	19:31:12	Aznx	chat	No.
1413	05/18/2006	19:31:13	19:31:16	Aznx	chat	They didn't do.
	05/18/2006	19:31:09	19:31:18	Quicksilver		[Quicksilver has fully erased the chat message]
1414	05/18/2006	19:31:17	19:31:20	Aznx	chat	The nuumber of squares
	05/18/2006	19:31:19	19:31:23	Quicksilver		[Quicksilver has fully erased the chat message]
1415	05/18/2006	19:31:24	19:31:25	Quicksilver	chat	ohj!
1416	05/18/2006	19:31:22	19:31:26	Aznx	chat	or the find the big square
1417	05/18/2006	19:31:26	19:31:27	Quicksilver	chat	that formula
1418	05/18/2006	19:31:28	19:31:31	Quicksilver	chat	i thot u meant the other one
1419	05/18/2006	19:31:33	19:31:36	Quicksilver	chat	yeah that is ours
	05/18/2006	19:31:35	19:31:42	Aznx		[Aznx has fully erased the chat message]
	05/18/2006	19:31:40	19:31:42	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006		19:32:20	Quicksilver	START:TextEditing
	05/18/2006	19:31:42	19:32:26	Aznx		[Aznx has fully erased the chat message]
1420	05/18/2006	19:32:16	19:32:37	bwang8	chat	point formula out with the tools so we don't get confused
	05/18/2006	19:32:38	19:32:39	bwang8		[bwang8 has fully erased the chat message]
	05/18/2006		19:32:43	Quicksilver	END:TextEditing
	05/18/2006		19:32:43	Quicksilver	wb	[Quicksilver changed the text to: We started doing the problems you were doing and got very interested in them. We did not always arrive at the same answers and we weren't always able to decide if we were looking at it in the same way that you were, but we liked working "with you" in this sense. From our perspective, the goal has not been for you to answer “our” problems, but for you to figure out math questions that interest you and to pursue them. That is why we set the challenge for the iPod as having your group excel at collaboration, not at finding some answers. You seem to have pursued some interesting questions and are all contributing and also making use of each other’s ideas. It is sometimes hard for us to tell what you are writing and thinking. It seems that there are times when you say you are following each other, but it is not clear that you are really in agreement or completely understand each other. You might actually discover some more math if you state things in more detail – to be completely sure you are in agreement. For session four, you could revisit a problem you were working on before, in order to state more clearly for other groups in the wiki: (a) a definition of your problem, (b) a solution and (c) how you solved the problem. Or you could try a new variation of these pattern problems, like a 3-D version of group C’s diamond pattern. It is up to you to pursue whatever most interests you and what enables you to improve and enjoy your ability to work together. As you know, one hour goes by pretty quickly, so it’s easy to run out of time for a complicated problem. Be creative and enjoy the session. ]
	05/18/2006		19:32:44	Quicksilver	START:TextEditing
	05/18/2006		19:32:46	Quicksilver	END:TextEditing
1421	05/18/2006	19:32:37	19:32:49	Aznx	chat	So we're technically done with all of it right?
1422	05/18/2006	19:32:50	19:32:51	Quicksilver	chat	this is ours	[1] Reference to whiteboard (whiteboardDoc)
	05/18/2006	19:32:40	19:32:55	bwang8		[bwang8 has fully erased the chat message]
1423	05/18/2006	19:32:53	19:32:58	Quicksilver	chat	all right...lets put it on the wiki
1424	05/18/2006	19:33:00	19:33:02	Aznx	chat	That is theirs.	[1] Reference to whiteboard (whiteboardDoc)
1425	05/18/2006	19:32:59	19:33:05	Quicksilver	chat	adn lets clearly explain it
1426	05/18/2006	19:33:08	19:33:11	Aznx	chat	bwang you do it. =P
1427	05/18/2006	19:33:07	19:33:13	Quicksilver	chat	the comments said we need details
1428	05/18/2006	19:33:03	19:33:14	bwang8	chat	we only calculated the number of squares
	05/18/2006	19:33:15	19:33:16	Quicksilver		[Quicksilver has fully erased the chat message]
1429	05/18/2006	19:33:19	19:33:23	Aznx	chat	and the big square
1430	05/18/2006	19:33:28	19:33:30	Quicksilver	chat	and subtracte
1431	05/18/2006	19:33:25	19:33:30	Aznx	chat	we didn't claculate the number of sticks
	05/18/2006	19:33:30	19:33:31	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:33:30	19:33:33	bwang8		[bwang8 has fully erased the chat message]
1432	05/18/2006	19:33:31	19:33:34	Aznx	chat	wanna do it?
1433	05/18/2006	19:33:34	19:33:36	bwang8	chat	yes
1434	05/18/2006	19:33:35	19:33:37	Quicksilver	chat	oh whoops
1435	05/18/2006	19:33:38	19:33:38	bwang8	chat	sure
1436	05/18/2006	19:33:37	19:33:40	Quicksilver	chat	yea definitely
	05/18/2006		19:33:41	bwang8	START:TextEditing
	05/18/2006		19:33:52	bwang8	END:TextEditing
	05/18/2006		19:33:52	bwang8	wb	[bwang8 changed the text to: big square: (2n-1)^2 4 corners: n(n+1)/2*4 number of squares: (2n-1)^2-n(n+1)/2*4 ]
	05/18/2006		19:33:57	bwang8	wb	[bwang8 resized some objects ]
	05/18/2006		19:33:59	bwang8	START:TextEditing
1437	05/18/2006	19:33:51	19:34:00	Aznx	chat	So for which one are we trying to find the number of sticks?
	05/18/2006		19:34:02	bwang8	END:TextEditing
	05/18/2006		19:34:02	bwang8	wb	[bwang8 changed the text to: big square: (2n-1)^2 4 corners: n(n+1)/2*4 number of squares: (2n-1)^2-n(n+1)/2*4 ]
	05/18/2006		19:34:05	bwang8	wb	[bwang8 moved some object/s ]
1438	05/18/2006	19:34:01	19:34:06	Aznx	chat	Only the disamond format?
1439	05/18/2006	19:34:10	19:34:13	Aznx	chat	Right?
1440	05/18/2006	19:34:18	19:34:19	Quicksilver	chat	ye
1441	05/18/2006	19:34:19	19:34:20	bwang8	chat	yes
1442	05/18/2006	19:34:38	19:34:45	Aznx	chat	So the one that we're looking at right now.
1443	05/18/2006	19:34:50	19:34:51	Aznx	chat	This one.	[1] Reference to whiteboard (whiteboardDoc)
1444	05/18/2006	19:34:52	19:34:55	Aznx	chat	It's step 3 right?
	05/18/2006	19:34:55	19:34:58	Quicksilver		[Quicksilver has fully erased the chat message]
1445	05/18/2006	19:34:59	19:34:59	bwang8	chat	yes
1446	05/18/2006	19:35:03	19:35:06	Quicksilver	chat	i think so
1447	05/18/2006	19:35:15	19:35:24	Aznx	chat	Let's look for a pattern.
1448	05/18/2006	19:35:21	19:35:27	Quicksilver	chat	how do u add text?	[1] Reference to whiteboard (whiteboardDoc)
	05/18/2006	19:35:24	19:35:32	Aznx		[Aznx has fully erased the chat message]
1449	05/18/2006	19:35:34	19:35:35	Aznx	chat	Wait!
	05/18/2006		19:35:36	Quicksilver	START:TextEditing
	05/18/2006		19:35:42	Quicksilver	END:TextEditing
	05/18/2006		19:35:42	Quicksilver	wb	[Quicksilver created a textbox ]
1450	05/18/2006	19:35:37	19:35:44	Aznx	chat	Wouldn't most of them share sticks?
	05/18/2006		19:35:46	Quicksilver	wb	[Quicksilver resized some objects ]
1451	05/18/2006	19:35:52	19:35:53	Quicksilver	chat	yes
1452	05/18/2006	19:35:54	19:35:59	Quicksilver	chat	they pretty much all do
	05/18/2006	19:36:00	19:36:02	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:36:02	19:36:03	Quicksilver		[Quicksilver has fully erased the chat message]
1453	05/18/2006	19:36:05	19:36:06	bwang8	chat	yes
1454	05/18/2006	19:35:55	19:36:06	Aznx	chat	Argh, that makes the problem harder -_-
	05/18/2006	19:36:07	19:36:10	bwang8		[bwang8 has fully erased the chat message]
1455	05/18/2006	19:36:03	19:36:10	Quicksilver	chat	the corners have two all for themselves
1456	05/18/2006	19:36:10	19:36:13	bwang8	chat	it is very hard
1457	05/18/2006	19:36:13	19:36:21	Quicksilver	chat	the sides have one for themselves
1458	05/18/2006	19:36:43	19:36:45	Aznx	chat	wait a min
1459	05/18/2006	19:36:46	19:36:48	Aznx	chat	This is my plan
1460	05/18/2006	19:36:24	19:36:49	bwang8	chat	maybe we should use the big square to calculate the # of sticks
	05/18/2006	19:36:49	19:36:50	Quicksilver		[Quicksilver has fully erased the chat message]
1461	05/18/2006	19:36:53	19:36:54	bwang8	chat	ok
1462	05/18/2006	19:36:50	19:36:55	Aznx	chat	Do this problem for around 2 minutes
1463	05/18/2006	19:36:54	19:36:57	bwang8	chat	what's your plan
1464	05/18/2006	19:36:55	19:37:00	Aznx	chat	on a scratch piece of paper
1465	05/18/2006	19:36:50	19:37:00	Quicksilver	chat	Each inner square has 2 sticks they shar e with another
1466	05/18/2006	19:37:01	19:37:04	Aznx	chat	then share it with each other
1467	05/18/2006	19:37:05	19:37:05	Aznx	chat	ok?
	05/18/2006	19:37:25	19:37:25	Quicksilver		[Quicksilver has fully erased the chat message]
1468	05/18/2006	19:37:28	19:37:28	Quicksilver	chat	ok
	05/18/2006	19:37:29	19:37:33	bwang8		[bwang8 has fully erased the chat message]
1469	05/18/2006	19:37:33	19:37:33	bwang8	chat	ok
	05/18/2006	19:37:37	19:37:47	bwang8		[bwang8 has fully erased the chat message]
	05/18/2006		19:37:48	Quicksilver	wb	[Quicksilver deleted some object/s ]
	05/18/2006	19:38:40	19:38:42	Quicksilver		[Quicksilver has fully erased the chat message]
1470	05/18/2006	19:38:43	19:39:00	Quicksilver	chat	I'm thinking that we don't have a large square that surrounds it
	05/18/2006	19:38:57	19:39:08	bwang8		[bwang8 has fully erased the chat message]
1471	05/18/2006	19:39:14	19:39:15	bwang8	chat	yeah
1472	05/18/2006	19:39:01	19:39:21	Quicksilver	chat	I'm thinking we have the inner square such as these nine	[1] Reference to whiteboard (whiteboardDoc)
1473	05/18/2006	19:39:15	19:39:22	bwang8	chat	we shouldn't use the big square
1474	05/18/2006	19:39:24	19:39:27	bwang8	chat	i think
1475	05/18/2006	19:39:21	19:39:35	Quicksilver	chat	then we add the outer four ones that have three sticks each
1476	05/18/2006	19:39:47	19:39:56	Quicksilver	chat	Then you just need the sticks for the square in the middle
1477	05/18/2006	19:40:40	19:40:40	Aznx	chat	lol
1478	05/18/2006	19:40:42	19:40:45	Aznx	chat	I figured it out.
1479	05/18/2006	19:40:45	19:40:49	Aznx	chat	on a much smaller scale
	05/18/2006	19:40:48	19:40:52	Quicksilver		[Quicksilver has fully erased the chat message]
1480	05/18/2006	19:40:50	19:40:53	Aznx	chat	and it's much easier to understand
1481	05/18/2006	19:40:53	19:40:56	Quicksilver	chat	great tell us how
	05/18/2006	19:40:32	19:40:58	bwang8		[bwang8 has fully erased the chat message]
1482	05/18/2006	19:40:59	19:41:01	bwang8	chat	tell us
1483	05/18/2006	19:40:58	19:41:01	Aznx	chat	n(4n-1)
1484	05/18/2006	19:41:04	19:41:06	bwang8	chat	what is that
1485	05/18/2006	19:41:03	19:41:07	Aznx	chat	but i'm still not sure
1486	05/18/2006	19:41:08	19:41:10	Aznx	chat	how to explain it
1487	05/18/2006	19:41:11	19:41:13	Aznx	chat	it works though
1488	05/18/2006	19:41:18	19:41:20	bwang8	chat	let's see
1489	05/18/2006	19:41:15	19:41:20	Aznx	chat	I still need to double check it
1490	05/18/2006	19:41:17	19:41:22	Quicksilver	chat	that doesnt work...
1491	05/18/2006	19:41:21	19:41:23	Aznx	chat	with their formula
1492	05/18/2006	19:41:26	19:41:30	Quicksilver	chat	no but say n is one
	05/18/2006	19:41:31	19:41:32	bwang8		[bwang8 has fully erased the chat message]
1493	05/18/2006	19:41:34	19:41:39	Aznx	chat	yeah it's the same
1494	05/18/2006	19:41:35	19:41:43	Quicksilver	chat	that is equal to three
1495	05/18/2006	19:41:41	19:41:44	Aznx	chat	strabnge enough
1496	05/18/2006	19:41:44	19:41:45	Quicksilver	chat	right?
1497	05/18/2006	19:41:50	19:41:52	Aznx	chat	yeah
1498	05/18/2006	19:41:56	19:41:56	Aznx	chat	hm
1499	05/18/2006	19:41:55	19:41:58	Quicksilver	chat	so it doesnt work
1500	05/18/2006	19:41:59	19:42:02	Aznx	chat	mine doesn't work
	05/18/2006	19:42:00	19:42:02	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:42:05	19:42:09	Aznx		[Aznx has fully erased the chat message]
1501	05/18/2006	19:42:10	19:42:16	bwang8	chat	I got a lead!!!!!!!111
1502	05/18/2006	19:42:18	19:42:18	bwang8	chat	ok
1503	05/18/2006	19:42:14	19:42:19	Aznx	chat	Wait a second.
1504	05/18/2006	19:42:12	19:42:19	Quicksilver	chat	this was theirs righT?	[1] Reference to whiteboard ()
1505	05/18/2006	19:42:25	19:42:25	Aznx	chat	No
	05/18/2006	19:42:25	19:42:27	bwang8		[bwang8 has fully erased the chat message]
1506	05/18/2006	19:42:26	19:42:28	Aznx	chat	it's the top oone
	05/18/2006		19:42:29	bwang8	wb	[bwang8 resized some objects ]
	05/18/2006		19:42:31	bwang8	START:TextEditing
1507	05/18/2006	19:42:30	19:42:32	Quicksilver	chat	lead?	[1] Reference to message No. 1501 (Text: I got a lead!!!!!!!111 )
1508	05/18/2006	19:42:36	19:42:40	Quicksilver	chat	oh whoops circled wrong one
	05/18/2006		19:42:46	bwang8	END:TextEditing
	05/18/2006		19:42:46	bwang8	wb	[bwang8 changed the text to: # of sticks (n^2+(n-1)^2)*2+n*3-2 # of squares n^2+(n-1)^2 ]
	05/18/2006	19:43:04	19:43:07	Quicksilver		[Quicksilver has fully erased the chat message]
1509	05/18/2006	19:42:56	19:43:08	bwang8	chat	ok i think we need to divide the thing in half
	05/18/2006	19:43:07	19:43:12	Quicksilver		[Quicksilver has fully erased the chat message]
1510	05/18/2006	19:42:54	19:43:16	Aznx	chat	Omg, I just solved their formula...and it turns out to be n(4n-1)!
1511	05/18/2006	19:43:13	19:43:17	Quicksilver	chat	so its symmetric?	[1] Reference to message No. 1501 (Text: I got a lead!!!!!!!111 )
1512	05/18/2006	19:43:18	19:43:22	Aznx	chat	what in the world?
1513	05/18/2006	19:43:23	19:43:26	Aznx	chat	am i going crazy?
1514	05/18/2006	19:43:12	19:43:26	bwang8	chat	don't consider the 4 cornors
1515	05/18/2006	19:43:27	19:43:29	Aznx	chat	someone check my work.
1516	05/18/2006	19:43:33	19:43:36	Aznx	chat	simplify their formula
	05/18/2006	19:43:43	19:43:43	bwang8		[bwang8 has fully erased the chat message]
	05/18/2006	19:43:49	19:43:50	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:43:47	19:43:50	bwang8		[bwang8 has fully erased the chat message]
1517	05/18/2006	19:43:51	19:43:51	Quicksilver	chat	k
1518	05/18/2006	19:43:52	19:43:55	bwang8	chat	what do you mean
	05/18/2006	19:43:56	19:44:03	bwang8		[bwang8 has fully erased the chat message]
1519	05/18/2006	19:44:13	19:44:30	Aznx	chat	2(n^2+n^2-2n+1)+3n-2
1520	05/18/2006	19:44:20	19:44:34	bwang8	chat	i don't see how you can simplify it
1521	05/18/2006	19:44:33	19:44:35	Aznx	chat	simply the formula
1522	05/18/2006	19:44:36	19:44:40	Aznx	chat	for the number of sticks
1523	05/18/2006	19:44:41	19:44:45	Aznx	chat	so that simplifies to...
	05/18/2006	19:45:25	19:45:30	Quicksilver		[Quicksilver has fully erased the chat message]
1524	05/18/2006	19:45:41	19:45:45	Aznx	chat	I stil get the same.
	05/18/2006	19:46:12	19:46:14	bwang8		[bwang8 has fully erased the chat message]
	05/18/2006	19:46:14	19:46:14	bwang8		[bwang8 has fully erased the chat message]
1525	05/18/2006	19:46:15	19:46:20	bwang8	chat	how did you simplify it
1526	05/18/2006	19:46:26	19:46:27	Aznx	chat	um
1527	05/18/2006	19:46:29	19:46:32	Aznx	chat	square the n-1
1528	05/18/2006	19:46:34	19:46:39	Aznx	chat	then multiply the whole thing by 2
1529	05/18/2006	19:46:40	19:46:47	Aznx	chat	then multiply the 3 and n
1530	05/18/2006	19:46:47	19:46:51	Aznx	chat	and add it with that
	05/18/2006	19:46:50	19:46:52	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:46:53	19:46:55	Quicksilver		[Quicksilver has fully erased the chat message]
1531	05/18/2006	19:46:52	19:46:57	Aznx	chat	and subtract by 2
1532	05/18/2006	19:47:11	19:47:14	bwang8	chat	quicksliver
1533	05/18/2006	19:47:18	19:47:19	Quicksilver	chat	im lost
1534	05/18/2006	19:47:16	19:47:23	bwang8	chat	did you get the same answer
	05/18/2006	19:47:28	19:47:29	Quicksilver		[Quicksilver has fully erased the chat message]
1535	05/18/2006	19:47:29	19:47:30	Quicksilver	chat	no
1536	05/18/2006	19:47:36	19:47:39	Aznx	chat	i'll do it on the board
	05/18/2006	19:47:30	19:47:43	Quicksilver		[Quicksilver has fully erased the chat message]
1537	05/18/2006	19:47:44	19:47:44	Quicksilver	chat	yeah
	05/18/2006		19:47:48	Aznx	wb	[Aznx created a line ]
	05/18/2006		19:47:51	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:47:52	Aznx	wb	[Aznx created a scribble ]
1538	05/18/2006	19:47:45	19:47:53	Quicksilver	chat	i got something totally difrent
	05/18/2006		19:47:53	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:47:54	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:47:55	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:47:57	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:47:58	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:00	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:01	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:03	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:06	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:07	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:11	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:12	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:14	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:14	Quicksilver	START:TextEditing
	05/18/2006		19:48:17	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:18	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:20	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:21	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:22	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:26	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:28	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:30	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:31	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:33	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:35	Aznx	wb	[Aznx created a scribble ]
1539	05/18/2006	19:48:15	19:48:36	bwang8	chat	so far i got $4*n^2+3*n$
	05/18/2006		19:48:37	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:39	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:40	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:43	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:45	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:46	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:48	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:50	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:52	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:53	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:55	Aznx	wb	[Aznx created a scribble ]
1540	05/18/2006	19:48:17	19:48:55	Quicksilver	chat	indranil rite in the box
	05/18/2006		19:48:56	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:57	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:58	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:48:59	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:03	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:04	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:05	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:07	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:07	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:09	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:11	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:11	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:16	Aznx	wb	[Aznx created a scribble ]
1541	05/18/2006	19:49:01	19:49:17	bwang8	chat	i mean 4n^2-n
	05/18/2006		19:49:17	Quicksilver	END:TextEditing
	05/18/2006		19:49:17	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:19	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:21	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:22	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:23	Aznx	wb	[Aznx created a scribble ]
1542	05/18/2006	19:49:25	19:49:26	Aznx	chat	EXactly
	05/18/2006		19:49:27	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:28	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:34	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:36	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:38	Aznx	wb	[Aznx created a scribble ]
1543	05/18/2006	19:49:34	19:49:40	Quicksilver	chat	yea that waht azn x got eralier
	05/18/2006		19:49:41	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:42	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:45	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:45	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:47	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:49	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:55	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:49:58	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:50:00	Aznx	wb	[Aznx created a scribble ]
1544	05/18/2006	19:49:58	19:50:00	bwang8	chat	holy
	05/18/2006		19:50:01	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:50:01	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:50:03	Aznx	wb	[Aznx created a scribble ]
1545	05/18/2006	19:50:02	19:50:03	bwang8	chat	moley
	05/18/2006		19:50:04	Aznx	wb	[Aznx created a scribble ]
	05/18/2006		19:50:05	Aznx	wb	[Aznx created a scribble ]
1546	05/18/2006	19:49:52	19:50:05	Quicksilver	chat	whyd u multiply by the two	[1] Reference to whiteboard (whiteboardDoc)
	05/18/2006		19:50:06	Aznx	wb	[Aznx created a scribble ]
1547	05/18/2006	19:50:06	19:50:13	bwang8	chat	i think their equation was wrong
1548	05/18/2006	19:50:11	19:50:15	Aznx	chat	It's in the equation
1549	05/18/2006	19:50:18	19:50:19	Quicksilver	chat	oh
1550	05/18/2006	19:50:19	19:50:20	Aznx	chat	Whoa dang
	05/18/2006	19:50:19	19:50:22	Quicksilver		[Quicksilver has fully erased the chat message]
1551	05/18/2006	19:50:22	19:50:25	Quicksilver	chat	i missed that then
1552	05/18/2006	19:50:21	19:50:25	Aznx	chat	their equation is wrong!
1553	05/18/2006	19:50:27	19:50:27	Aznx	chat	lol
1554	05/18/2006	19:50:25	19:50:28	Quicksilver	chat	thats why i was off
1555	05/18/2006	19:50:28	19:50:36	Aznx	chat	and concidentally, that's what i got
1556	05/18/2006	19:50:20	19:50:37	bwang8	chat	because the simplified one wouln't solve the problem
1557	05/18/2006	19:50:37	19:50:41	Aznx	chat	i was thinking about the sides
1558	05/18/2006	19:50:40	19:50:48	bwang8	chat	why don't we use it on some other level
1559	05/18/2006	19:50:42	19:50:52	Aznx	chat	and thought there had to be 4n somehwere in the scenario
1560	05/18/2006	19:50:51	19:50:56	bwang8	chat	see if it works
1561	05/18/2006	19:50:56	19:50:57	Quicksilver	chat	lol
1562	05/18/2006	19:50:59	19:51:00	Aznx	chat	it doesnt
1563	05/18/2006	19:50:58	19:51:01	Quicksilver	chat	never assume
1564	05/18/2006	19:51:03	19:51:05	Aznx	chat	it doesnt work
	05/18/2006	19:51:08	19:51:09	Aznx		[Aznx has fully erased the chat message]
1565	05/18/2006	19:51:08	19:51:12	Quicksilver	chat	it didn't work for one
1566	05/18/2006	19:51:10	19:51:13	Aznx	chat	quicksilver tried it with 1
1567	05/18/2006	19:51:17	19:51:17	bwang8	chat	2
1568	05/18/2006	19:51:23	19:51:23	Quicksilver	chat	no
	05/18/2006	19:51:25	19:51:28	Quicksilver		[Quicksilver has fully erased the chat message]
1569	05/18/2006	19:51:36	19:51:36	Aznx	chat	nope
	05/18/2006	19:51:42	19:51:47	Aznx		[Aznx has fully erased the chat message]
1570	05/18/2006	19:51:44	19:51:51	bwang8	chat	nope they got 3 wrong too
1571	05/18/2006	19:51:59	19:51:59	Aznx	chat	Greg?
1572	05/18/2006	19:51:56	19:52:00	bwang8	chat	there are 36 sticks
1573	05/18/2006	19:52:03	19:52:04	Quicksilver	chat	greg?
1574	05/18/2006	19:52:02	19:52:05	Aznx	chat	I mean, Gerry? =P
	05/18/2006	19:52:05	19:52:09	Quicksilver		[Quicksilver has fully erased the chat message]
1575	05/18/2006	19:52:10	19:52:10	Quicksilver	chat	lol
1576	05/18/2006	19:52:02	19:52:11	bwang8	chat	but they only can get 33
1577	05/18/2006	19:52:21	19:52:21	bwang8	chat	ok
	05/18/2006	19:52:17	19:52:24	Quicksilver		[Quicksilver has fully erased the chat message]
1578	05/18/2006	19:52:28	19:52:29	Aznx	chat	Gerry?
1579	05/18/2006	19:52:24	19:52:30	bwang8	chat	let's find out the real solution
	05/18/2006	19:52:29	19:52:31	Quicksilver		[Quicksilver has fully erased the chat message]
1580	05/18/2006	19:52:33	19:52:34	Quicksilver	chat	yeah
1581	05/18/2006	19:52:39	19:52:40	Gerry	chat	What?	[1] Reference to message No. 1578 (Text: Gerry? )
	05/18/2006	19:52:40	19:52:42	Aznx		[Aznx has fully erased the chat message]
	05/18/2006	19:52:35	19:52:44	Quicksilver		[Quicksilver has fully erased the chat message]
1582	05/18/2006	19:52:44	19:52:48	Aznx	chat	Their thing doesn't work.
1583	05/18/2006	19:52:53	19:52:56	Aznx	chat	We tried it.
	05/18/2006	19:52:59	19:53:04	Aznx		[Aznx has fully erased the chat message]
	05/18/2006	19:53:01	19:53:11	Quicksilver		[Quicksilver has fully erased the chat message]
1584	05/18/2006	19:53:01	19:53:18	Gerry	chat	I know you tried it. I saw.	[1] Reference to message No. 1583 (Text: We tried it. )
1585	05/18/2006	19:53:24	19:53:24	Quicksilver	chat	lol
1586	05/18/2006	19:53:30	19:53:32	Quicksilver	chat	anyway
1587	05/18/2006	19:53:19	19:53:32	Gerry	chat	It does not even work for one square
1588	05/18/2006	19:53:30	19:53:33	Aznx	chat	So what do you think?
1589	05/18/2006	19:53:33	19:53:40	Quicksilver	chat	lets find the real answer
1590	05/18/2006	19:53:37	19:53:43	Aznx	chat	So their solution was wrong right?
1591	05/18/2006	19:53:45	19:53:49	Aznx	chat	Yeah, let's find it out.
1592	05/18/2006	19:53:51	19:53:57	Aznx	chat	But I want to make sure thgat it was wrong.
1593	05/18/2006	19:53:50	19:53:59	Gerry	chat	looks that way, doesn't it?	[1] Reference to message No. 1590 (Text: So their solution was wrong right? )
1594	05/18/2006	19:54:05	19:54:07	Aznx	chat	Yeah it does.
1595	05/18/2006	19:54:03	19:54:07	Quicksilver	chat	we basically proved it
	05/18/2006	19:54:05	19:54:09	bwang8		[bwang8 has fully erased the chat message]
1596	05/18/2006	19:54:14	19:54:19	Quicksilver	chat	we must put that on the wiki
	05/18/2006		19:54:23	bwang8	wb	[bwang8 moved some object/s ]
1597	05/18/2006	19:54:06	19:54:25	Gerry	chat	How about their solution for the # of blocks?
	05/18/2006		19:54:26	bwang8	wb	[bwang8 moved some object/s ]
	05/18/2006		19:54:30	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		19:54:31	bwang8	wb	[bwang8 deleted some object/s ]
	05/18/2006		19:54:36	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:37	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:39	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:40	bwang8	wb	[bwang8 created a line ]
	05/18/2006	19:54:39	19:54:40	Aznx		[Aznx has fully erased the chat message]
	05/18/2006		19:54:41	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:42	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:44	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:45	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:47	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:48	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:49	bwang8	wb	[bwang8 created a line ]
	05/18/2006	19:54:45	19:54:49	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006		19:54:51	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:52	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:53	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:54:59	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:55:00	bwang8	wb	[bwang8 created a line ]
	05/18/2006		19:55:07	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:07	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:55:08	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:08	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:09	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:10	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:11	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:12	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:13	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:55:16	Aznx	wb	[Aznx deleted some object/s ]
1598	05/18/2006	19:55:08	19:55:17	bwang8	chat	look at this thing i drew
1599	05/18/2006	19:55:04	19:55:17	Gerry	chat	Did you get a different formula than theirs?
	05/18/2006		19:55:17	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:21	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:22	Aznx	wb	[Aznx deleted some object/s ]
1600	05/18/2006	19:55:17	19:55:23	bwang8	chat	it is the second level
	05/18/2006		19:55:23	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:24	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006	19:55:24	19:55:25	bwang8		[bwang8 has fully erased the chat message]
	05/18/2006		19:55:26	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:27	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:28	Aznx	wb	[Aznx deleted some object/s ]
1601	05/18/2006	19:55:28	19:55:36	bwang8	chat	divide it in half
	05/18/2006		19:55:37	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:38	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:42	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:44	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:45	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:46	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:49	Aznx	wb	[Aznx deleted some object/s ]
1602	05/18/2006	19:55:37	19:55:49	bwang8	chat	you will get the 1 3 3 1 sequence
	05/18/2006	19:55:44	19:55:50	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006		19:55:52	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:53	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:54	Aznx	wb	[Aznx deleted some object/s ]
1603	05/18/2006	19:55:51	19:55:54	Quicksilver	chat	well not really	[1] Reference to message No. 1599 (Text: Did you get a different formula than theirs? )
	05/18/2006		19:55:54	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:56	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:57	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:59	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:55:59	Aznx	wb	[Aznx deleted some object/s ]
1604	05/18/2006	19:55:54	19:56:00	Quicksilver	chat	we devised our own process
	05/18/2006		19:56:00	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:03	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:04	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:05	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:06	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:07	Aznx	wb	[Aznx deleted some object/s ]
1605	05/18/2006	19:55:51	19:56:08	bwang8	chat	when you have 3rd level
	05/18/2006		19:56:08	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:09	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:11	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:12	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:13	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:56:13	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:16	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:17	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:19	Aznx	wb	[Aznx deleted some object/s ]
1606	05/18/2006	19:56:09	19:56:20	bwang8	chat	you get 1 3 5 5 3 1 sequence
	05/18/2006		19:56:22	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:26	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:27	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:29	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:56:30	Aznx	wb	[Aznx deleted some object/s ]
1607	05/18/2006	19:56:21	19:56:34	bwang8	chat	4th 1 3 5 7 7 5 3 1 sequence
1608	05/18/2006	19:56:32	19:56:38	Quicksilver	chat	pascalls triangle numbers?
1609	05/18/2006	19:56:35	19:56:39	bwang8	chat	seeing a pattern here
	05/18/2006	19:56:39	19:56:42	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006	19:56:42	19:56:44	Quicksilver		[Quicksilver has fully erased the chat message]
1610	05/18/2006	19:56:43	19:56:45	bwang8	chat	i don't know
1611	05/18/2006	19:56:48	19:57:00	bwang8	chat	but there is a equation to summarize it
1612	05/18/2006	19:56:48	19:57:01	Quicksilver	chat	hey aznx what are the pascals triangles first few rows?
1613	05/18/2006	19:57:01	19:57:04	Quicksilver	chat	I don't think it is these
	05/18/2006	19:57:09	19:57:13	bwang8		[bwang8 has fully erased the chat message]
1614	05/18/2006	19:57:16	19:57:17	Aznx	chat	huh?
1615	05/18/2006	19:57:14	19:57:17	bwang8	chat	well i have to go
	05/18/2006		19:57:24	Aznx	wb	[Aznx resized some objects ]
1616	05/18/2006	19:57:25	19:57:25	Quicksilver	chat	oh
	05/18/2006		19:57:27	Aznx	wb	[Aznx deleted some object/s ]
1617	05/18/2006	19:57:26	19:57:27	Quicksilver	chat	wel...
	05/18/2006		19:57:28	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:29	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:31	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:31	Aznx	wb	[Aznx deleted some object/s ]
1618	05/18/2006	19:57:18	19:57:32	bwang8	chat	the library that i am working at is closing
	05/18/2006		19:57:32	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:57:33	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:34	Aznx	wb	[Aznx deleted some object/s ]
1619	05/18/2006	19:57:29	19:57:34	Quicksilver	chat	too bad this was the last time
	05/18/2006		19:57:36	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:37	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:38	Aznx	wb	[Aznx deleted some object/s ]
1620	05/18/2006	19:57:37	19:57:38	Quicksilver	chat	oh
	05/18/2006		19:57:39	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:40	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:41	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:42	Aznx	wb	[Aznx deleted some object/s ]
1621	05/18/2006	19:57:38	19:57:43	bwang8	chat	i can come back later
	05/18/2006		19:57:43	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:44	Aznx	wb	[Aznx resized some objects ]
	05/18/2006		19:57:44	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006	19:57:43	19:57:45	Quicksilver		[Quicksilver has fully erased the chat message]
	05/18/2006		19:57:47	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:47	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:48	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:50	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:51	Aznx	wb	[Aznx deleted some object/s ]
1622	05/18/2006	19:57:51	19:57:52	bwang8	chat	bye
	05/18/2006		19:57:52	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:53	Aznx	wb	[Aznx deleted some object/s ]
1623	05/18/2006	19:57:48	19:57:54	Quicksilver	chat	but htis is the last session right?
	05/18/2006		19:57:55	Aznx	wb	[Aznx deleted some object/s ]
1624	05/18/2006	19:57:55	19:57:55	Quicksilver	chat	bye
	05/18/2006		19:57:56	Aznx	wb	[Aznx deleted some object/s ]
	05/18/2006		19:57:57	Aznx	wb	[Aznx deleted some object/s ]
1625	05/18/2006		19:57:58	bwang8	leaves	leaves the room
1626	05/18/2006	19:58:01	19:58:02	Aznx	chat	Ok.
1627	05/18/2006	19:58:03	19:58:07	Aznx	chat	So what were you saying?
	05/18/2006	19:58:06	19:58:10	Quicksilver		[Quicksilver has fully erased the chat message]
1628	05/18/2006	19:58:11	19:58:19	Quicksilver	chat	it might have been pascals triangle numbers
1629	05/18/2006	19:58:28	19:58:29	Aznx	chat	Which ones?
1630	05/18/2006	19:58:43	19:58:48	Quicksilver	chat	these and the ones above	[1] Reference to message No. 1607 (Text: 4th 1 3 5 7 7 5 3 1 sequence )
	05/18/2006	19:58:45	19:58:52	Aznx		[Aznx has fully erased the chat message]
1631	05/18/2006	19:58:54	19:58:58	Aznx	chat	The triangular numbers?
1632	05/18/2006	19:59:17	19:59:20	Quicksilver	chat	look above
1633	05/18/2006	19:59:22	19:59:22	Aznx	chat	Oh.
1634	05/18/2006	19:59:22	19:59:26	Quicksilver	chat	bwang gave a list of numbers
1635	05/18/2006	19:59:35	19:59:36	Aznx	chat	They do.
1636	05/18/2006	19:59:44	19:59:48	Aznx	chat	They are, I should say.
1637	05/18/2006	20:00:22	20:00:25	Quicksilver	chat	does that help us ?
1638	05/18/2006	20:00:42	20:00:43	Aznx	chat	I dunno,
1639	05/18/2006	20:00:44	20:00:53	Aznx	chat	We might be able to come up with a fromula from that
1640	05/18/2006	20:00:54	20:00:59	Aznx	chat	it is a sequence of a sort
1641	05/18/2006	20:01:07	20:01:21	Quicksilver	chat	but it is neither arithmetic notr geometric
1642	05/18/2006	20:01:27	20:01:28	Aznx	chat	yeah
1643	05/18/2006	20:01:37	20:01:42	Aznx	chat	I think we should research on it.
	05/18/2006	20:01:57	20:02:02	Quicksilver		[Quicksilver has fully erased the chat message]
1644	05/18/2006	20:01:58	20:02:05	Aznx	chat	And I'm not writing today's wiki. =P
1645	05/18/2006	20:02:03	20:02:07	Quicksilver	chat	we have like ten minutes
1646	05/18/2006	20:02:11	20:02:15	Aznx	chat	So when are we meeting again?
	05/18/2006	20:02:12	20:02:19	Quicksilver		[Quicksilver has fully erased the chat message]
1647	05/18/2006	20:02:20	20:02:32	Quicksilver	chat	Hey gerry....didn't you say it could be arranged for us to meet again
1648	05/18/2006	20:02:55	20:02:58	Gerry	chat	Would you like to continue working with your team after tonight?
	05/18/2006	20:02:49	20:02:59	Aznx		[Aznx has fully erased the chat message]
1649	05/18/2006	20:03:04	20:03:05	Quicksilver	chat	yes
1650	05/18/2006	20:03:05	20:03:10	Aznx	chat	Yeah, definetely.
1651	05/18/2006	20:03:05	20:03:11	Quicksilver	chat	this is rather interesting
1652	05/18/2006	20:03:11	20:03:23	Quicksilver	chat	we keep finding problems that we don't have time to finish in one meeting
1653	05/18/2006	20:03:17	20:03:29	Aznx	chat	It'd be fun to research on pascal's triangles anyways.
1654	05/18/2006	20:03:29	20:03:39	Gerry	chat	What did you notice during these session that seems most interesting to you as far as doing math in a group? Which moments were the most fun?
1655	05/18/2006	20:03:32	20:03:39	Aznx	chat	And we'll actually solve this problewm very throroughly.
	05/18/2006	20:03:52	20:03:54	Aznx		[Aznx has fully erased the chat message]
	05/18/2006	20:03:55	20:04:05	Aznx		[Aznx has fully erased the chat message]
1656	05/18/2006	20:03:48	20:04:12	Quicksilver	chat	lets see...Well the times that were most interesting were when someone brought up and entirely new perspective on a problem
1657	05/18/2006	20:04:22	20:04:28	Aznx	chat	WE bring up interesting points in a problem.
1658	05/18/2006	20:04:15	20:04:29	Quicksilver	chat	we were able to learn more from those times
1659	05/18/2006	20:04:29	20:04:31	Aznx	chat	and go fro them
1660	05/18/2006	20:04:35	20:04:43	Aznx	chat	from there, we like derive a million sorts of ideas
1661	05/18/2006	20:04:35	20:04:43	Quicksilver	chat	everyone got to share their own views and explain it to the others
1662	05/18/2006	20:04:46	20:04:47	Aznx	chat	yeah
1663	05/18/2006	20:04:49	20:04:51	Aznx	chat	and through that
1664	05/18/2006	20:04:51	20:04:55	Aznx	chat	we all learned from each other
1665	05/18/2006	20:04:50	20:05:00	Quicksilver	chat	And not only were these times interestin, they were flun
	05/18/2006	20:05:01	20:05:02	Quicksilver		[Quicksilver has fully erased the chat message]
1666	05/18/2006	20:04:56	20:05:04	Aznx	chat	on how to approach different even a single problem
1667	05/18/2006	20:05:02	20:05:09	Quicksilver	chat	we got to listen to each other and their thoughts
1668	05/18/2006	20:05:09	20:05:18	Quicksilver	chat	sometimes we argued, but we learned somehting every meeting
1669	05/18/2006	20:05:21	20:05:31	Aznx	chat	Plus, when one didn't understand, we always made sure that person did.
1670	05/18/2006	20:05:26	20:05:40	Quicksilver	chat	as far as doing collaborative math, this is about hte first time
1671	05/18/2006	20:04:57	20:05:46	Gerry	chat	Well, thank you very much for participating in the VMT Spring Fest. As we said at the beginning, we offered these sessions to give students the chance to do interesting math in teams via the Internet. A number of groups have participated and engaged actively in discussing everyone's ideas, formulating interesting math questions and exploring them.
	05/18/2006	20:05:37	20:05:50	Aznx		[Aznx has fully erased the chat message]
	05/18/2006	20:05:43	20:05:50	Quicksilver		[Quicksilver has fully erased the chat message]
1672	05/18/2006	20:06:06	20:06:11	Quicksilver	chat	So it's over then isn't it?
1673	05/18/2006	20:06:15	20:06:24	Quicksilver	chat	No more meetings =(
1674	05/18/2006	20:06:23	20:06:29	Gerry	chat	No.
1675	05/18/2006	20:06:37	20:06:46	Quicksilver	chat	Oh well, maybe we can start a club like this at school
1676	05/18/2006	20:06:31	20:06:47	Gerry	chat	We will give you feedback and you can always come back.
1677	05/18/2006	20:06:52	20:07:01	Gerry	chat	You can come back to this room
	05/18/2006	20:06:57	20:07:04	Aznx		[Aznx has fully erased the chat message]
1678	05/18/2006	20:07:04	20:07:06	Quicksilver	chat	Ok t hanks
1679	05/18/2006	20:07:06	20:07:11	Aznx	chat	When can we see the feedback?
1680	05/18/2006	20:07:15	20:07:16	Aznx	chat</