T/R 1: How many think one third? You all agree. Can you tell me why you would give it the number name one third?

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Janis Parsons
5 years ago
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1 Page: 1 of 6 [T/R 1 takes one red rod away.] If I had to give another name, a number name for the red rod, if I called the dark green rod one, what would I call the red rod? What number name would I give to it? If I called the dark green rod one, what number name would I give to the red rod? [Most of the students have their hands raised.] How many of you think you know a number name, for the red rod? Why don t you talk to your partner a little bit and see what you think? [T/R 1 speaks to students off camera] You did already? [Most hands are still raised.] Beth, you want to tell us? Beth: One third T/R 1: Nice and loud Beth Beth: One third T/R 1: How many think one third? You all agree. Can you tell me why you would give it the number name one third? Beth: Because if you put three of them, it makes one whole T/R 1: Okay, so if it makes, three of them would make one whole. Do you agree with that? So we give it the number name one third. Okay, very good. Someone told me that light green is one third as long as blue. What do you think? Erik: It s right, right, right Alan: Hmm? Erik: It s right Alan: Mmm-hmm. Yep, one third T/R 1: Someone told me that light green is one third as long as blue. What do you think? What do you think, Jessica?

2 Page: 2 of Jessica: It is T/R 1: Jessica thinks it is. And how would you convince me, Jessica? Jessica: Because you could, if you have, you have three of these you could put it up to the blue, and it s one whole T/R 1: So if I call the blue rod one, what number name would I give to light green, everybody? Students: One third T/R 1: I would give it the number name one third. Now notice, if I called the dark green rod one what number name would I give to the red? Students: One third T/R 1: So are the number names always the same? Students: [Tentatively] No T/R 1: Are the color names always the same? Students: No T/R 1: Does this have another name other than blue? Am I ever going to call this something else other than blue? Student: No, oh yeah T/R 1: What am I going to call it? Student: Dark blue T/R 1: Well, dark blue. So are the number names same, do they change? I mean the color names Erik: Color names, no.

3 Page: 3 of T/R 1: Erik thinks that the color names don t change. Right, do we agree that the color names are always the same? Alan: Mmm-hmm T/R 1: Do the number names change? Students: Yes T/R 1: Okay, tell me why the number names change. Give me an example of why the number names change. Erik Erik: You could think, you could say that, you could take an orange block and a blue block and that would be, that would be three, three thirds of it. Wait, no. Wait, hold on. Well, no I mean, if you take, if you take a blue rod and you could call it one whole then you would take a diff, a smaller rod and that would be something T/R 1: Which one? Erik: Um, well, oh, you take a light green, and that ll be a third of it T/R 1: Okay, so I called the light green one third and I called the red one third. Why could the light green be a third and why could the red be a third? How is that possible for both of these to be a third? Erik: [Raising his hand] Oh, oh, I know T/R 1: Michael? Michael: Because there is a different size whole T/R 1: Because there is a different size whole. There is a different number name I gave for what I called one, okay? So when the blue is one, can you see that the light green becomes a third? But can you see

4 Page: 4 of Students: No. when the dark green is one, then you see that the red becomes a third? So do we have permanent number names? T/R 1: No the number names change, that's very important when using these rods. Do the color names change? Students: No T/R 1: No the color names don't change. Every one of these rods has a permanent color name, but the number name changes with the problem. So let s be sure we re familiar with the color names so that we can call them the same thing, um, for the rods, we have a color name for this one, we re calling this one blue or dark blue, right, we agree with that? And we re calling this one light green, why don t you make sure you pull out all of them and see if it is true that there are ten of them, and see if we can come up with the different color names and then we ll do some problems with number names. [Many students build staircases.] Alan: Six [Alan and Erik count out loud as they line up the rods as a staircase] Seven so far, seven, eight, nine Erik: I got nine, but where is the ten? Alan: Let s get them in lengths [Both continue to count out loud] Erik: Eight, nine, ten there we go, I got them. [Alan continues to count his rods] T/R 1: How many think there are ten? [long pause, students raise their hands] Okay. Okay, as I look around the room I see that you arranged them all, some of you did the same thing, some of you did

5 Page: 5 of 6 them differently. Kelly, your arrangement, you want to say something about your arrangement? Nice and loud Kelly Kelly: [Describing the staircase that she built] I put the tallest, then the second to tallest, third T/R 1: Which is the longest rod? Kelly: Um, the orange T/R 1: The orange, do all agree? Students: Mmm-hmm T/R 1: And then, tell me what to do Kelly: And then I put down the blue T/R 1: Blue Kelly: Then the brown T/R 1: Brown Kelly: Then the black T/R 1: I can t find the brown, brown Kelly: Then black, then dark green, then yellow, then like the pinkish-red T/R 1: We call this purple Kelly: Purple T/R 1: I know it looks sort of pink, doesn t it? Okay Kelly: Um, light green, then red, and white.

6 Page: 6 of T/R 1: And then white. How many of you agree? Ten rods? Ten color names? You agree.

Transcriber(s): Yankelewitz, Dina Verifier(s): Reid, Adrienne, Farhat, Marcelle Date Transcribed: Spring 2009 Page: 1 of 6

Transcriber(s): Yankelewitz, Dina Verifier(s): Reid, Adrienne, Farhat, Marcelle Date Transcribed: Spring 2009 Page: 1 of 6 Page: 1 of 6 Line Speaker Transcript Code 1 T/R 2 Okay, let s see. We re calling the orange rod the number name fifty. How about the yellow rod? What number name will we give it? I would love to hear from