From Jsarmi
< Dataset1
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It's new for everyone
Moderator_G 5/19/05 8:04:22 PM EDT: OK, We are ready to start. Today, you can finish the work that you have been doing
as a team in the previous three sessions. There are five teams in this project and they have all
explored very interesting questions about the “grid-world” that we started with.
Moderator_G 5/19/05 8:04:46 PM EDT: Before you begin doing math today, we wanted to see if you had any questions for us
about why we offered these chats or what we are trying to do or how we think it went?
Moderator_G 5/19/05 8:05:23 PM EDT: I posted a long explanation about how we think about this.
Moderator_G 5/19/05 8:05:45 PM EDT: What do you think? Any questions or comments?
mathisfun 5/19/05 8:06:02 PM EDT: This is very interesting class
mathisfun 5/19/05 8:06:21 PM EDT: It was very different from anything i've had before
Moderator_G 5/19/05 8:06:44 PM EDT: It's new for everyone
The other two are not here yet
Moderator_G 5/19/05 8:10:05 PM EDT: Well, I guess you want to get back to the math
bob123 5/19/05 8:11:49 PM EDT: the other 2 aren't here yet though
Moderator_G 5/19/05 8:12:18 PM EDT: Well, you can get started
Moderator frames prior work
Moderator_G 5/19/05 8:12:48 PM EDT: I thought you might want to work on the idea that someone suggested at the end last time
Moderator_G 5/19/05 8:13:13 PM EDT: So I put the problem in the text box and drew a new grid for you
mathisfun 5/19/05 8:13:25 PM EDT: thanks
mathisfun 5/19/05 8:13:36 PM EDT: So I guess we can get started...
on the whiteboard:
Last time you rolled up the grid so that the left edge met the right edge and formed a cylinder.
You worked on the distance between points by passing through the inside of the cylinder.
At the end of the session, someone suggested folding the paper to form a prism (solid triangle).
This might actually be easier to work with than a cylinder. Suppose you have a grid that is 12 unit squares
by 12 unit squares. Number the vertical lines from 0 to 12. fold the grid along line 4 and 8, and join the edges
at 0 and 12 to form a solid equilateral triangle. Now find the shortest distance between any two points along the grid
and through the prism. Is there any relationship between the two measures of distance?
BRIDGING: You do the same you did with the circle (Bird's eye view)
mathisfun 5/19/05 8:15:26 PM EDT: k letz get started
bob123 5/19/05 8:15:54 PM EDT: the way i see it, you do the same thing you did with the circle
mathisfun 5/19/05 8:16:05 PM EDT: alright
mathisfun 5/19/05 8:16:16 PM EDT: so letz draw the triangular prism
mathisfun 5/19/05 8:17:39 PM EDT: there
mathisfun 5/19/05 8:18:42 PM EDT: so should i make the bird's eye view?
WHAT IS THIS? Long reference
bob123 5/19/05 8:28:24 PM EDT: and how do you use the two sides and the degree to find the third side?
mathisfun 5/19/05 8:28:33 PM EDT: one moment
mathisfun 5/19/05 8:28:58 PM EDT: There is a fomula I think
bob123 5/19/05 8:29:13 PM EDT: i said use the law of cosines earlier
bob123 5/19/05 8:29:24 PM EDT: there
bob123 5/19/05 8:29:30 PM EDT: there (points to: bob123 5/19/05 8:23:41 PM EDT: using law of cosines)