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