1
00:00:02,157 --> 00:00:04,485
Is that too distorted because it's sideways? 

2
00:00:04,485 --> 00:00:05,016
Or is that okay?

3
00:00:06,453 --> 00:00:07,171
Can you guys read that?

4
00:00:08,461 --> 00:00:09,599
alright

5
00:00:10,766 --> 00:00:11,875
Is there a bad glare?

6
00:00:11,875 --> 00:00:14,172
I don't want to turn the lights off. but I 

7
00:00:14,172 --> 00:00:16,359
will... [Why?] but- Because

8
00:00:16,359 --> 00:00:19,765
I don't know. [Everyone's going to fall asleep in here.]

9
00:00:19,765 --> 00:00:21,250
Well, no I know you won't fall asleep.

10
00:00:21,250 --> 00:00:22,282
But I might fall alseep.

11
00:00:22,282 --> 00:00:24,297
And then I'll fall and I might break my arm. 

12
00:00:24,297 --> 00:00:28,859
Okay, um... Number two part A. 

13
00:00:28,859 --> 00:00:32,406
How fast did Ruben travel in the first part?

14
00:00:32,406 --> 00:00:33,984
So I know some of you guys asked

15
00:00:33,984 --> 00:00:34,969
me this yesterday. 

16
00:00:34,969 --> 00:00:36,453
What did you assume the first part was?

17
00:00:36,453 --> 00:00:37,259
What did that mean?

18
00:00:37,259 --> 00:00:39,689
[The first line?] Yeah just the first

19
00:00:39,689 --> 00:00:43,921
little line segment. 

20
00:00:43,921 --> 00:00:45,750
I think what that was going for.

21
00:00:45,750 --> 00:00:48,359
So how far fast did Ruben travel in the

22
00:00:48,359 --> 00:00:49,859
first part? Well,

23
00:00:49,859 --> 00:00:50,938
Somebody raise your hand, tell me what you got.

24
00:00:50,938 --> 00:00:52,637
Kimberly? [Thirty feet]

25
00:00:53,984 --> 00:00:55,375
Thirty feet. That's a distance.

26
00:00:55,375 --> 00:00:56,734
That's not a speed. [Oh]

27
00:01:07,171 --> 00:01:08,500
[Thirty feet per second]

28
00:01:08,500 --> 00:01:10,436
There you go. Or, are we in seconds?

29
00:01:10,436 --> 00:01:11,102
[No, we're in miles.]

30
00:01:11,102 --> 00:01:12,063
We're not even in feet. 

31
00:01:12,063 --> 00:01:14,328
Let's look at our units here. 

32
00:01:15,438 --> 00:01:17,563
[Thirty miles an hour.] Thirty miles an hour.

33
00:01:17,563 --> 00:01:19,469
Okay.

34
00:01:19,469 --> 00:01:21,048
Thirty miles per hour. 

35
00:01:21,048 --> 00:01:23,156
And so Kimberly, how did you

36
00:01:23,156 --> 00:01:25,688
come to that thirty miles per hour as your answer?

37
00:01:25,688 --> 00:01:28,063
[Thirty divided by one]

38
00:01:28,063 --> 00:01:29,234
Okay, but

39
00:01:29,234 --> 00:01:30,953
Where even thirty divided by one?

40
00:01:30,953 --> 00:01:32,292
Just tell me where your eyes were

41
00:01:32,292 --> 00:01:33,703
to get those numbers. [Um...]

42
00:01:33,703 --> 00:01:35,609
[Um... well I guess that those lines]

43
00:01:35,609 --> 00:01:39,406
[mark how far he's gone]

44
00:01:39,406 --> 00:01:42,126
Okay, so you literally just looked at

45
00:01:42,126 --> 00:01:43,798
where that segment ended?

46
00:01:43,798 --> 00:01:46,078
[Yeah.] And you saw that in that segment

47
00:01:46,078 --> 00:01:47,078
he traveled

48
00:01:48,751 --> 00:01:49,986
how many miles?

49
00:01:49,986 --> 00:01:50,611
[Thirty]

50
00:01:50,611 --> 00:01:52,313
Thirty miles. And how long did it take him to do so?

51
00:01:52,313 --> 00:01:54,203
[one second... or one hour.]

52
00:01:54,203 --> 00:01:56,415
One hour, good. And so you can divide an hour

53
00:01:56,415 --> 00:01:58,656
That's an easy one isn't it? thirty over one. 

54
00:01:58,656 --> 00:02:00,141
So thirty miles an hour. Very good. 

55
00:02:00,141 --> 00:02:01,751
What about it the third part?

56
00:02:01,751 --> 00:02:03,298
Would you guys use this?

57
00:02:04,484 --> 00:02:05,876
As your third part?

58
00:02:07,719 --> 00:02:09,969
Well raise a hand here. Who thinks they got

59
00:02:09,969 --> 00:02:11,580
the third part speed? Matt?

60
00:02:12,563 --> 00:02:14,063
[Twenty-five miles per hour]

61
00:02:14,063 --> 00:02:15,673
Class? Twenty-five miles per hour?

62
00:02:18,735 --> 00:02:20,548
You're not getting very much concurrence. 

63
00:02:20,548 --> 00:02:21,454
What's another idea?

64
00:02:24,891 --> 00:02:26,485
You did get twenty-five?

65
00:02:26,485 --> 00:02:27,860
So you concur?

66
00:02:27,860 --> 00:02:28,907
What else did you guys get?

67
00:02:28,907 --> 00:02:30,110
We can talk about them. 

68
00:02:30,110 --> 00:02:31,657
I'm hearing twenty-five

69
00:02:31,657 --> 00:02:33,407
miles per hour, anything else?

70
00:02:33,407 --> 00:02:34,218
[twenty-seven?]

71
00:02:34,218 --> 00:02:34,937
Twenty-seven.

72
00:02:38,579 --> 00:02:41,210
Well Matt, How did you get twenty-five miles per hour?

73
00:02:41,210 --> 00:02:44,151
What kinds of things did you look at to get that answer?

74
00:02:47,262 --> 00:02:48,637
[I forgot]

75
00:02:49,548 --> 00:02:51,407
Well, think about it fresh then, with me. 

76
00:02:51,407 --> 00:02:53,631
How could you, using a graph

77
00:02:53,631 --> 00:02:55,298
figure out a speed?

78
00:02:56,752 --> 00:02:59,518
[I think I put eighty-five over...]

79
00:03:02,157 --> 00:03:03,140
[three hours]

80
00:03:03,140 --> 00:03:05,217
Okay, what's the eighty-five?

81
00:03:05,217 --> 00:03:06,544
What does that - [miles?]

82
00:03:07,703 --> 00:03:09,390
Over the course of what?

83
00:03:09,390 --> 00:03:10,086
[three hours.]

84
00:03:10,086 --> 00:03:13,296
Okay, so... let me see if I can find

85
00:03:15,407 --> 00:03:16,782
Where were your eyeballs for eighty-five?

86
00:03:16,782 --> 00:03:17,453
Where they down here?

87
00:03:20,546 --> 00:03:22,187
Up here?

88
00:03:24,157 --> 00:03:25,390
You do one of these things Matt?

89
00:03:25,390 --> 00:03:28,078
I should have just had you come up and draw this.

90
00:03:28,078 --> 00:03:30,187
Is that where you're getting eighty-five, about?

91
00:03:30,187 --> 00:03:31,645
Um [It's seventy-five]

92
00:03:32,640 --> 00:03:34,203
How can you just change it to seventy-five?

93
00:03:37,843 --> 00:03:39,828
[it doesn't start on one]

94
00:03:39,828 --> 00:03:40,968
Okay, good. 

95
00:03:40,968 --> 00:03:42,703
So if at the end of this

96
00:03:42,703 --> 00:03:44,375
portion of his trip

97
00:03:45,235 --> 00:03:47,270
he had traveled eighty-five miles

98
00:03:47,270 --> 00:03:48,843
by the end of this portion. 

99
00:03:48,843 --> 00:03:51,265
But where did this portion of the journey begin?

100
00:03:54,515 --> 00:03:55,875
Where was he?

101
00:03:56,421 --> 00:03:59,920
Already ten miles away.

102
00:04:00,703 --> 00:04:02,717
So, if this portion of the journey

103
00:04:02,717 --> 00:04:04,448
started at ten miles, and at the end

104
00:04:04,448 --> 00:04:06,326
of the journey he was at eighty-five miles,

105
00:04:06,326 --> 00:04:08,703
How many miles did he travel in this portion?

106
00:04:08,703 --> 00:04:10,078
[seventy-five]

107
00:04:10,078 --> 00:04:11,582
About seventy-five miles.

108
00:04:11,582 --> 00:04:13,828
And how long did this portion of the trip take?

109
00:04:13,828 --> 00:04:16,952
[three hours]

110
00:04:16,952 --> 00:04:18,702
Where do you eyeballs look to figure that part out?

111
00:04:18,702 --> 00:04:20,749
How long did this portion of the trip take?

112
00:04:22,233 --> 00:04:23,733
Greg? [Down]

113
00:04:23,733 --> 00:04:25,187
You're looking at the time. 

114
00:04:25,187 --> 00:04:27,187
From here to...

115
00:04:28,641 --> 00:04:29,485
Does it stop at six?

116
00:04:31,141 --> 00:04:31,766
Yeah?

117
00:04:31,766 --> 00:04:34,360
So he traveled seventy-five

118
00:04:34,360 --> 00:04:36,297
miles over the course of

119
00:04:36,297 --> 00:04:37,422
three hours

120
00:04:37,422 --> 00:04:39,218
So his speed must have been...

121
00:04:40,360 --> 00:04:42,490
Twenty-five. Casey, I'm wondering about that twenty-seven. 

122
00:04:42,490 --> 00:04:44,600
Did you just maybe estimate a little bit differently then us?

123
00:04:44,600 --> 00:04:45,891
Because that's awfully close.

124
00:04:46,625 --> 00:04:48,266
Or did you get it totally different? Do you know?

125
00:04:48,266 --> 00:04:49,922
[I don't know really]

126
00:04:49,922 --> 00:04:51,391
I wonder because

127
00:04:51,391 --> 00:04:54,218
granted this is, this might be crooked. 

128
00:04:54,218 --> 00:04:56,141
Which knowing me, it probably is. 

129
00:04:56,141 --> 00:04:58,141
So, I mean depending, we assumed

130
00:04:58,141 --> 00:05:00,343
that this was at an even eighty-five,

131
00:05:00,343 --> 00:05:02,062
and this was at an even ten. 

132
00:05:02,062 --> 00:05:04,516
If you used eighty-four and ten,

133
00:05:04,516 --> 00:05:06,360
Or even eighty-six and ten,

134
00:05:06,360 --> 00:05:07,906
You might be a little bit off.

135
00:05:07,906 --> 00:05:09,656
But I think this is pretty close. 

136
00:05:09,656 --> 00:05:10,579
Ry? What were you going to say?

137
00:05:10,579 --> 00:05:12,605
[I said it was ninety]

138
00:05:16,235 --> 00:05:18,968
Oh, you used - This marker was a ninety?

139
00:05:18,968 --> 00:05:21,422
Okay, and you got this - be careful with this.

140
00:05:21,422 --> 00:05:23,016
Watch how they're counting. 

141
00:05:23,016 --> 00:05:24,031
If... Oh!

142
00:05:25,641 --> 00:05:27,202
Yeah!

143
00:05:27,202 --> 00:05:29,141
You are right. 

144
00:05:29,141 --> 00:05:30,797
So, Okay. 

145
00:05:30,797 --> 00:05:33,072
Thank you for pointing that out. 

146
00:05:33,072 --> 00:05:34,766
Yes, yes, yes. No, I see. 

147
00:05:34,766 --> 00:05:36,218
But I was saying it wrong. 

148
00:05:36,218 --> 00:05:37,735
So, thank you for saying that, Ry. 

149
00:05:38,343 --> 00:05:41,055
I was using them as counting by fives,

150
00:05:41,055 --> 00:05:43,107
and they are absolutely not. 

151
00:05:43,107 --> 00:05:44,942
So, Okay. I think this is exactly 

152
00:05:44,942 --> 00:05:46,577
then where the discrepancy might have been.

153
00:05:46,577 --> 00:05:48,810
If you follow this across

154
00:05:49,526 --> 00:05:52,562
I'm going to attempt to be straight here. 

155
00:05:52,562 --> 00:05:54,247
and landed half-way between 

156
00:05:54,247 --> 00:05:55,345
That eighty and ninety

157
00:05:55,345 --> 00:05:57,327
I can see your eighty-five now. 

158
00:05:57,327 --> 00:05:59,672
Maybe if you did a Miss. Coombs thing

159
00:05:59,672 --> 00:06:01,425
and, kind of, you know let your line 

160
00:06:01,425 --> 00:06:03,218
get a little crooked

161
00:06:03,218 --> 00:06:05,031
and landed on that ninety

162
00:06:05,031 --> 00:06:06,516
Then maybe that's

163
00:06:06,516 --> 00:06:08,500
where the twenty-seven comes from, Casey

164
00:06:08,500 --> 00:06:09,656
So, again 

165
00:06:10,422 --> 00:06:12,076
Be careful of what they're counting by. 

166
00:06:12,076 --> 00:06:13,817
I just made a mistake with it. You know

167
00:06:13,817 --> 00:06:15,812
So, you know be careful of what they're counting by. 

168
00:06:15,812 --> 00:06:17,404
So that way you know what you're

169
00:06:17,404 --> 00:06:18,692
keeping track of. 

170
00:06:18,692 --> 00:06:20,218
So...

171
00:06:20,218 --> 00:06:22,906
This is eighty, that is ninety so half way between 

172
00:06:22,906 --> 00:06:25,060
is about eighty-five. Ok, I see what you guys are doing. 

173
00:06:25,516 --> 00:06:27,047
Good call. Very good. 

174
00:06:27,047 --> 00:06:28,766
Um... part B

175
00:06:28,766 --> 00:06:31,403
In what part do you travel the fastest and the slowest?

176
00:06:31,403 --> 00:06:32,422
And how do you know?

177
00:06:32,422 --> 00:06:34,574
So, as far as parts go

178
00:06:34,574 --> 00:06:36,093
let's just use the whole concept of 

179
00:06:36,093 --> 00:06:38,062
part one, part two, part three

180
00:06:38,062 --> 00:06:40,141
part four, OK? Um...

181
00:06:40,141 --> 00:06:42,172
Where do you travel the fastest?

182
00:06:42,172 --> 00:06:43,687
Raise you hand if you say, it's part one. 

183
00:06:45,906 --> 00:06:46,766
OK. 

184
00:06:48,937 --> 00:06:51,656
Oh, part one again? [yeah]

185
00:06:51,656 --> 00:06:53,077
One, two

186
00:06:53,077 --> 00:06:54,526
We have three for part one.

187
00:06:54,526 --> 00:06:56,766
Who says fastest in part two?

188
00:06:58,485 --> 00:06:59,235
Part three?

189
00:07:01,031 --> 00:07:01,735
Part four?

190
00:07:02,829 --> 00:07:03,754
The rest of the class.

191
00:07:03,754 --> 00:07:05,488
So I think we have twenty-four students

192
00:07:05,488 --> 00:07:07,156
so we'll say the other twenty-one. 

193
00:07:07,156 --> 00:07:10,110
Um... Well, How can you know?

194
00:07:10,110 --> 00:07:12,422
We know this speed is thirty.

195
00:07:12,422 --> 00:07:13,651
How can we find out

196
00:07:13,651 --> 00:07:15,321
if this is really quicker

197
00:07:15,321 --> 00:07:16,281
than that or not. 

198
00:07:22,062 --> 00:07:23,016
Can you?

199
00:07:23,016 --> 00:07:25,204
Or do you just have to trust your eyeballs and guess?

200
00:07:30,204 --> 00:07:32,735
Dominic, what did you say? [eighty-five over three]

201
00:07:32,735 --> 00:07:34,937
Okay, just do the same thing as before. 

202
00:07:34,937 --> 00:07:36,742
How far did he go

203
00:07:36,742 --> 00:07:37,985
in this leg of the trip?

204
00:07:41,375 --> 00:07:44,303
[From eighty-five to zero]

205
00:07:44,303 --> 00:07:46,954
Back to zero, so eighty-five total miles

206
00:07:46,954 --> 00:07:48,843
And how long did it take him to do so?

207
00:07:50,360 --> 00:07:52,079
[two seconds] [two hours]

208
00:07:53,016 --> 00:07:55,059
hours? Two hours. 

209
00:07:55,059 --> 00:07:57,180
And it looks a little bit even more than two.

210
00:07:57,180 --> 00:07:57,750
Doesn't it?

211
00:07:59,937 --> 00:08:01,259
So, maybe a little more than two.

212
00:08:01,259 --> 00:08:03,531
But what's eighty-five divided by two,

213
00:08:03,531 --> 00:08:04,603
approximately?

214
00:08:05,406 --> 00:08:06,916
Forty something

215
00:08:06,916 --> 00:08:08,812
Is it feeling more than thirty? [yeah]

216
00:08:08,812 --> 00:08:10,422
I'm thinking so. 

217
00:08:10,422 --> 00:08:11,687
So I think this is his 

218
00:08:11,687 --> 00:08:13,266
quickest portion of the drive. 

219
00:08:13,266 --> 00:08:14,612
OK, but again, I mean 

220
00:08:14,612 --> 00:08:16,297
Using your eyeballs is goinna help you 

221
00:08:16,297 --> 00:08:17,812
maybe narrow it down. 

222
00:08:17,812 --> 00:08:19,867
I think, using your eyeballs narrows it down 

223
00:08:19,867 --> 00:08:22,093
To perhaps part one versus part four. 

224
00:08:22,093 --> 00:08:24,547
But, you can know for sure.

225
00:08:24,547 --> 00:08:26,807
Just do a quick speed calculation

226
00:08:26,807 --> 00:08:27,968
and you can know for sure.

227
00:08:27,968 --> 00:08:29,812
How about slowest? Who says part one?

228
00:08:31,860 --> 00:08:33,125
Good. Part two?

229
00:08:37,328 --> 00:08:38,625
Part three?

230
00:08:40,327 --> 00:08:40,937
and part four?

231
00:08:41,854 --> 00:08:42,953
You all said part two. Good. 

232
00:08:42,953 --> 00:08:44,500
Anybody get a speed for part two?

233
00:08:49,485 --> 00:08:50,110
Could we?

234
00:08:51,735 --> 00:08:52,563
Where is... 

235
00:08:52,563 --> 00:08:54,610
How many miles did he travel at the start of this?

236
00:08:57,336 --> 00:08:58,115
He saw at thirty,

237
00:08:58,115 --> 00:09:00,140
and at the end of it he was at...

238
00:09:00,140 --> 00:09:01,890
ten. So he traveled...

239
00:09:01,890 --> 00:09:04,172
[twenty] Twenty feet over the course

240
00:09:04,172 --> 00:09:06,008
I'm sorry, twenty miles over the course of...?

241
00:09:06,008 --> 00:09:07,344
[Two hours]

242
00:09:07,344 --> 00:09:09,000
Two hours, so his speed?

243
00:09:09,000 --> 00:09:10,443
[Ten miles per hour]

244
00:09:10,443 --> 00:09:11,898
Ten miles per hour. 

245
00:09:11,898 --> 00:09:14,044
So is that, in fact his slowest portion?

246
00:09:14,640 --> 00:09:15,985
You betcha!

247
00:09:15,985 --> 00:09:18,282
Good. And the 'how do you know' is

248
00:09:18,282 --> 00:09:19,475
well, we just talked about it

249
00:09:19,475 --> 00:09:21,985
You steepness can help your eyeballs figure it out.

250
00:09:21,985 --> 00:09:23,938
You can calculate it if you need to 

251
00:09:23,938 --> 00:09:25,892
to narrow down your answer. 

252
00:09:25,892 --> 00:09:27,688
Or to solidify your answer.