case 1
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A lot, a lot of just kindof

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giving up on the idea

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of tracking everything all at once,

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I'm just getting points. 

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So a lot of people

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that fell into that... I don't know, comfort zone, almost

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of just going step by step

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and plotting step by step the points. 

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Okay, I didn't see as much of this

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as I would like.

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So everybody, for me, right now

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we're going to do this together,

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to make sure we're all thinking about it 

14
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the way that we want you to think about it. 

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and don't do it on your paper, do it in the air. 

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That way I can watch you and see what you are doing. OK?

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And by the way, we are on

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activity two right now. 

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So we are tracking distance from start

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So, we're students and it says track the timer along

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the horizontal axis using your right index finger. 

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So that is all you're gonna do. 

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All I want you to do right now 

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is using your right index finger, you're going to track

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time and time alone. 

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You with me?

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Time and time alone. 

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Ready? Fingers in the air!

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Track time and time alone. You're mark, set 

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Danielle? [oh, sorry] You're mark set

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time and time alone, go!

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 Just time Brianna.

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My arm's all over here.

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Okay, so the time is which way?

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Horizontal or vertical axis?

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[vertical][Horizontal]

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Horizontal, horizontal! It's this one.

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OK, so your time finger did what?

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[It just went like this.]

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It just went like this.

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You just track the time, and that's it. 

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That is not a very hard one to do, perhaps. 

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Now forget that one, bust out your distance finger. 

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OK, your distance finger goes which way?

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[Up and down] Up and down. 

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If your finger goes up that means...

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[It's increasing?]

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The distance is increasing from where?

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[From the start] From the start.

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If your finger goes down, that means...

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decreasing or... Katie?

52
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[Getting closer] Getting closer to the start. 

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So forget time, bust out distance finger. 

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All you're moving is distance, up and down. 

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Mark, set, go!

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Whoa, okay, I saw fingers get confused. 

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Okay, ready. We're tracking distance from... [start] start. 

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Greg, you with us? [yeah]

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Okay just again distance finger. Mark, set, go!

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Okay. Gromick what did you do?

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[I kept going up] Why did you keep going up?

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[I wasn't paying attention] What should you have done?

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[Went down] Why? [Because he went back to the start.]

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Because he went back to the start. 

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Okay, so now you have this sense of...

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He's walking away, going back,

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walking away, coming back, right?

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But he is doing all of this over the course of time. 

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So guess what?

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We bust out both fingers. 

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OK, you're tracking distance

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You're tracking time.

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At the same time, both things are happening.

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Ready? Mark, set, go!

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[Oops, I went to fast]

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[I'm going the wrong way]

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OK, let's try that again. 

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One more time on that one. 

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No we're just separate right now. 

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This one's staying like this, this one stay like this.

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Don't worry about the over

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[Oh!] Yeah, just like this. 

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That's the next step. Just track distance

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And just track time. Don't worry about 

85
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The whole keeping it 

86
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over each other yet. 

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For now just try to get them both going at once.

88
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At little coordination here. 

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Ready? Mark, set, go!

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[Oh, I'm doing it wrong!] What did you do?

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[I didn't go up and down] And what were you suppose to?

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[Because you come back] Okay. 

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So you have a li-... you're-you know, you're getting better at this. 

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But now I'm going to make it harder. 

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Keep it over each other this time. 

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So as time goes by

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and your distance is doing whatever it's doing

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keep it above. 

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Okay? Keep it above. 

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Ready? Mark, set ,go!

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Guys!

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Okay, ready? Take your distance finger

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Dip it in the upper left hand corner of your desk.

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You now officially have dust all over your finger.

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You are- You are Tinkerbell right now. 

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OK? So every time that distance finger moves

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what do you leave behind?

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[pixie dust] A piece of pixie dust.

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So do it again.

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Only this time, imagine the trail you've left behind. 

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Ready?

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Mark, set, go!

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Now I want you to look at the graphs you created on your paper. 

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Does it look like your pixie dust you left behind? [course]

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Okay. But here is the difference

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if your graph, if your graph on paper

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has four points on it,

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ten points on it,

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are there really only four points?

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Are there really only ten points?

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[No] How many points are there?

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[A lot] Crap-load. You really want to count them?