1
00:00:01;01 --> 00:00:04;09
I stole points from Kelsey, so I'm going to trust them.

2
00:00:04;10 --> 00:00:07;13
What sort of change between this first set of

3
00:00:07;14 --> 00:00:08;14
Points? What did you guys get?

4
00:00:08;15 --> 00:00:10;00
[Negative 7]

5
00:00:10;06 --> 00:00:12;11
Negative 7. Tell
me how you got that.

6
00:00:12;12 --> 00:00:13;08
Somebody? Julie?

7
00:00:13;09 --> 00:00:17;06
[9 minus 16]

8
00:00:21;08 --> 00:00:23;03
How come this is going
to take a negative sign?

9
00:00:23;04 --> 00:00:27;12
How does Y change
from 16 to 9?

10
00:00:27;15 --> 00:00:29;06
[Decreases]

11
00:00:29;07 --> 00:00:33;03
Decreases. Good. And
how does X change from

12
00;00:33;04 --> 00:00:35;12
Negative 4 to 3? This change right here.

13
00:00:35;13 --> 00:00:36;10
[1]

14
00:00:40;03 --> 00:00:44;00
Exactly. Negative 7
over 1 gets negative 7.

15
00:00:44;01 --> 00:00:45;13
How about the
next 2 points? Matt?

16
00:00:50;01 --> 00:00:51;03
[Negative 5]

17
00:00:51;04 --> 00:00:56;07
Negative 5. Concur? Mr.
Forbes, the next pair?

18
00:00:56;08 --> 00:00:58;00
[Negative 3]

19
00:00:58;01 --> 00:01:03;00
Negative 3. Class, concur?
Just speak up if you don't.

20
00:01:03;01 --> 00:01:05;08
Danielle, for
the next change?

21
00:01:05;12 --> 00:01:07;07
[Negative 1]

22
00:01:09;05 --> 00:01:10;05
Class, concur?

23
00:01:10;06 --> 00:01:11;03
[Yes]

24
00:01:11;04 --> 00:01:12;12
OK. Gromick, for
the next set?

25
00:01:13;15 --> 00:01:15;11
[Positive 1]

26
00:01:17;06 --> 00:01:21;02
Class, concur? OK.
Katie, for the next set?

27
00:01:21;03 --> 00:01:22;07
[3]

28
00:01:23;14 --> 00:01:28;04
Class, concur? OK.
Greg for the next set?

29
00:01:28;05 --> 00:01:30;04
[6 or 5]

30
00:01:31;05 --> 00:01:31;13
Which one?

31
00:01:32;14 --> 00:01:33;09
[5]

32
00:01:34;04 --> 00:01:35;03
Did you have
the same points

33
00:01:35;04 --> 00:01:36;05
As what I have up here?

34
00:01:36;08 --> 00:01:37;01
[No]

35
00:01:37;02 --> 00:01:39;01
Oh, OK, so did you have 6?

36
00:01:39;02 --> 00:01:39;08
[Yeah]

37
00:01:39;09 --> 00:01:41;09
But now you're adjusting
based on my points? OK,

38
00:01:41;10 --> 00:01:46;07
Bad kid. And then, the last
set, I don't know, Gina?

39
00:01:46;09 --> 00:01:47;05
[7]

40
00:01:50;06 --> 00:01:54;09
You can calculate those
rates of changes however

41
00:01:54;10 --> 00:01:56;01
You're comfortable with.
You can go to your graph

42
00:01:56;02 --> 00:01:58;06
And do your calculus
triangles. You can do it by

43
00:01:58;07 --> 00:02:00;10
How I think Julie did it,
by looking at the values

44
00:02:00;11 --> 00:02:02;13
Themselves and taking
differences in your head,

45
00:02:02;14 --> 00:02:06;01
Which is good.
Nonetheless, you've got

46
00:02:06;02 --> 00:02:09;10
This pattern for rate of
change. Now, you'll see on

47
00:02:09;11 --> 00:02:13;04
The bottom you have this
little piece of graph paper

48
00:02:13;05 --> 00:02:17;11
Here and the Y axis is the
rate of change axis, R.O.C.

49
00:02:17;12 --> 00:02:22;10
What you've got to do here
is you're going to graph the

50
00:02:22;11 --> 00:02:31;08
Rate of change, meaning
all of those. Graph the rate

51
00:02:31;09 --> 00:02:36;13
Of change on the Y axis, so
all of these values are Y

52
00:02:36;14 --> 00:02:39;04
Values, because your rate
of change represents your

53
00:02:39;05 --> 00:02:42;11
Y axis. And then, you're
going to graph them with

54
00:02:42;12 --> 00:02:46;12
Their corresponding X
value. But see how this rate

55
00:02:46;13 --> 00:02:48;13
Of change has two
corresponding X values?

56
00:02:48;14 --> 00:02:54;09
Take the left one. For
graphing purposes, this

57
00:02:54;10 --> 00:02:56;05
Rate of change
corresponds to

58
00:02:56;06 --> 00:03:01;00
What X value?
Well, X value.

59
00:03:01;01 --> 00:03:01;15
[Negative 4]

60
00:03:02;00 --> 00:03:03;07
Negative 4. This rate of

61
00:03:03;08 --> 00:03:05;06
Change corresponds
to what X value?

62
00:03:05;07 --> 00:03:06;06
[Negative 3]

63
00:03:06;07 --> 00:03:11;01
Negative 3, exactly. Use
your rate of change as your

64
00:03:11;02 --> 00:03:13;12
Y axis and use your X
values from the left hand

65
00:03:13;13 --> 00:03:17;10
Column to graph the rate
of change versus X.

66
00:03:17;11 --> 00:03:22;00
Does that make sense?
Cool.