Dataset1/D1T1S2
From Jsarmi
moderatorS 5/12/05 8:02:14 PM EDT: Meet, notice the link I made to rweisbac's message. I double clicked on it before sending my message. p M M M M M moderatorS 5/12/05 8:03:46 PM EDT: so, Meet, the general idea is that we give you a simple environment to explore and invent math questions that you then try to answer. moderatorS 5/12/05 8:03:56 PM EDT: We don't grade you or judge you. moderatorS 5/12/05 8:04:18 PM EDT: WE just want to see if groups can have fun online doing math with our support. moderatorS 5/12/05 8:04:30 PM EDT: Rweisbac, do you want to add something?
meet_the_fangs 5/12/05 8:07:37 PM EDT: oh ic Jason joins the room 5/12/05 8:07:56 PM EDT moderatorS 5/12/05 8:08:00 PM EDT: You might have to invent new definitions of math objects you are used to. moderatorS 5/12/05 8:08:16 PM EDT: Let me share some of the questions that other groups came up with.
p M M
moderatorS 5/12/05 8:08:48 PM EDT: do you see the list I just posted? rweisbac 5/12/05 8:08:59 PM EDT: uhh no meet_the_fangs 5/12/05 8:09:03 PM EDT: no meet_the_fangs 5/12/05 8:09:08 PM EDT: it says the double click to edit thingy moderatorS 5/12/05 8:09:11 PM EDT: on the board. moderatorS 5/12/05 8:09:18 PM EDT: Maybe it hasn't come through yet? meet_the_fangs 5/12/05 8:09:27 PM EDT: probably rweisbac 5/12/05 8:09:35 PM EDT: most likley moderatorS 5/12/05 8:09:41 PM EDT: I'll post them in here as messages also. Hang on. moderatorS 5/12/05 8:09:49 PM EDT: Questions: 1. What is the shortest path along the grid between the two points? 2. How many possible routes are there from point A to point B? 3. What is the maximum distance from point A to B if you can only travel on each POINT once? 4. How many ways are there to get from A to B in rectangle ABCD? 5. Make a right triangle with AB as the hypotenuse. What is the area of the circumscribed circle? 6. Can you go off the edge and come back somewhere else? Questions that your work made the moderators think of: 7. What is the shortest path along the grid between any two points A(x1, y1), B(x2, y2)? 8. How many shortest paths are there from A to B and how does this vary with changes in the positioning of A relative to B? 9. Suppose the right and left edges of the grid are connected. How does that change the distances between points? p M meet_the_fangs 5/12/05 8:10:14 PM EDT: okay meet_the_fangs 5/12/05 8:10:18 PM EDT: so we answer them? rweisbac 5/12/05 8:10:26 PM EDT: These are out questions rweisbac 5/12/05 8:10:32 PM EDT: I mean our moderatorS 5/12/05 8:10:36 PM EDT: you can or you can invent new questions p M M M M moderatorS 5/12/05 8:10:42 PM EDT: and answer those p M M M M M rweisbac 5/12/05 8:10:56 PM EDT: Lets draw a cartesian plane
rweisbac 5/12/05 8:11:52 PM EDT: So what do we do moderatorS 5/12/05 8:12:14 PM EDT: invent new questions or try to answer questions you already have. rweisbac 5/12/05 8:12:28 PM EDT: With out the points meet_the_fangs 5/12/05 8:12:29 PM EDT: but we dont have the points moderatorS 5/12/05 8:12:46 PM EDT: right. you can make points if you want. meet_the_fangs 5/12/05 8:12:52 PM EDT: ok rweisbac 5/12/05 8:12:56 PM EDT: woah Jason 5/12/05 8:13:01 PM EDT: as i wait for my room's participants to join, may i participate in this room for a while?
moderatorS 5/12/05 8:17:55 PM EDT: Keep in mind that for the "people" of this world, they don't have the same experience you do. They think about everything in terms of the lines of the grid. p M M M M M M moderatorS 5/12/05 8:18:25 PM EDT: they can't draw lines except along the grid. p M M M M M M M M M M M M meet_the_fangs 5/12/05 8:19:09 PM EDT: oops
rweisbac 5/12/05 8:19:55 PM EDT: so this is a cartesian plaine. That line is the hypotenuse of a right triangle point a is at (-4,4) and point b is at (3,-4) p M M M M (Draws staircase) meet_the_fangs 5/12/05 8:20:20 PM EDT: okay p M meet_the_fangs 5/12/05 8:20:26 PM EDT: now we hafta adjust our grid.... p M M M M M M M M M (Deletes staircase) meet_the_fangs 5/12/05 8:21:04 PM EDT: okay so... rweisbac 5/12/05 8:21:24 PM EDT: We can find the distance between the two points meet_the_fangs 5/12/05 8:21:31 PM EDT: diagonally meet_the_fangs 5/12/05 8:21:33 PM EDT: or on the line? rweisbac 5/12/05 8:21:43 PM EDT: Diagiaonally meet_the_fangs 5/12/05 8:21:48 PM EDT: okay
(after calculating diagonal distance using pythagoras) meet_the_fangs 5/12/05 8:29:03 PM EDT: we're going to make the circumscribed circle? rweisbac 5/12/05 8:29:20 PM EDT: only if u know how to .. rweisbac 5/12/05 8:38:11 PM EDT: were stuck p M M M meet_the_fangs 5/12/05 8:38:39 PM EDT: wanna do a different problem? meet_the_fangs 5/12/05 8:42:03 PM EDT: which problem? meet_the_fangs 5/12/05 8:42:09 PM EDT: or we can make up one? rweisbac 5/12/05 8:42:16 PM EDT: How about 1 meet_the_fangs 5/12/05 8:42:21 PM EDT: sure p M rweisbac 5/12/05 8:42:30 PM EDT: ok lets get to it p M M meet_the_fangs 5/12/05 8:42:41 PM EDT: okay... p M meet_the_fangs 5/12/05 8:42:48 PM EDT: so... meet_the_fangs 5/12/05 8:42:53 PM EDT: ill put the grid under the old one p M M M M M M M M M M M M rweisbac 5/12/05 8:43:37 PM EDT: so that is a path from A to B p M M M M M meet_the_fangs 5/12/05 8:43:55 PM EDT: okay p M M M M meet_the_fangs 5/12/05 8:44:21 PM EDT: kk so A's at the very left meet_the_fangs 5/12/05 8:44:25 PM EDT: and B's at the very right? rweisbac 5/12/05 8:44:27 PM EDT: yes p M meet_the_fangs 5/12/05 8:44:40 PM EDT: wel, that is the shortest distance rweisbac 5/12/05 8:44:57 PM EDT: ok on to question 2 moderatorS 5/12/05 8:45:03 PM EDT: rweisbac, I don't see your line.
