Thursday, September 18, 2008

7:13 PM: Susie Brooks has entered the room.
7:13 PM: Susie Brooks has left the room.
7:37 PM: Kenneth Wartman III has entered the room.
7:41 PM: Mary Stilling has entered the room.
7:42 PM: Susie Brooks has entered the room.
7:43 PM: Hollynn VanCourt has entered the room.
7:43 PM: John Beck(Ins) has entered the room.
7:43 PM: John Beck(Ins): Hi, Ken, Susie, Mary, and Holly!
7:43 PM: Mary Stilling: Hi!
7:43 PM: Susie Brooks: hi
7:43 PM: Hollynn VanCourt: hello!
7:44 PM: Hollynn VanCourt has left the room.
7:44 PM: John Beck(Ins): How are things back in Baltimore on this fine evening?
7:45 PM: Hollynn VanCourt has entered the room.
7:45 PM: Susie Brooks: cold out
7:46 PM: John Beck(Ins): Hmmmm. From your lack of response I must assume things aren't that good back in Balto.
7:46 PM: Edith Panzarella has entered the room.
7:46 PM: John Beck(Ins): Hi, Edie!
7:46 PM: John Beck(Ins): It's a bit cool out here also.
7:46 PM: Susie Brooks: could be better
7:46 PM: Edith Panzarella: hi there!
7:46 PM: Susie Brooks: could be warm
7:47 PM: John Beck(Ins): Well, the good news is that this week's homework is much, much easier!!
7:47 PM: Hollynn VanCourt: good!
7:47 PM: Edith Panzarella: I'm still recovering
7:47 PM: Anissa Watkins has entered the room.
7:47 PM: John Beck(Ins): Hi, Anissa!
7:48 PM: Anissa Watkins: good even
7:48 PM: Anissa Watkins has left the room.
7:48 PM: Anissa Watkins has entered the room.
7:48 PM: Anissa Watkins: hello
7:48 PM: John Beck(Ins): How many of you have looked at the practice test on http://www.mathsoftware.com/walkthru.html
7:48 PM: Susie Brooks: I did
7:48 PM: Hollynn VanCourt: I did
7:48 PM: Edith Panzarella: glanced at it
7:48 PM: Mary Stilling: Not yet
7:49 PM: Anissa Watkins: I HAVE NOT WHAT CHAPTER IS IT IN?
7:49 PM: John Beck(Ins): You need to look at it. The real thing is much like the practice test. There is a pencil and paper version and an online version.
7:49 PM: John Beck(Ins): It's with the Week 4 stuff, Anissa.
7:50 PM: John Beck(Ins): You must look at the online version since the real test is online also.
7:50 PM: Amy Matheny has entered the room.
7:50 PM: Anissa Watkins: Chapter 4 on the lessons or walkthru?
7:50 PM: John Beck(Ins): When you take the online practice test, a copy is sent to me. I don't grade it, but I'm willing to help you with anything you miss.
7:51 PM: John Beck(Ins): Hi, Amy!
7:51 PM: Amy Matheny: hi
7:51 PM: Susie Brooks: ok
7:51 PM: John Beck(Ins): Week 4 of http://www.mathsoftware.com/walkthru.html, Anissa.
7:51 PM: Loredana Lungana has entered the room.
7:51 PM: John Beck(Ins): Hi, Loredana!
7:51 PM: Loredana Lungana: Hello
7:51 PM: Barbara Mierzwa has entered the room.
7:51 PM: Anissa Watkins: I just pulled it up and it’s about Pascal’s triangle
7:52 PM: John Beck(Ins): Hi, Barbara!
7:52 PM: Barbara Mierzwa: hi!
7:52 PM: John Beck(Ins): Anissa, I think you have tonight's walkthru again.
7:52 PM: Kenneth Wartman III: Sorry, I was away from keyboard earlier. How is everyone?
7:52 PM: John Beck(Ins): Anissa, I'm talking about my website.
7:53 PM: John Beck(Ins): Part of my course is on the CD which you've loaded onto your hard drive.
7:53 PM: John Beck(Ins): But there is also the information on my website.
7:53 PM: Barbara Mierzwa has left the room.
7:53 PM: John Beck(Ins): My website is http://www.mathsoftware.com/walkthru.html
7:53 PM: Barbara Mierzwa has entered the room.
7:54 PM: John Beck(Ins): Hi again, Barbara!
7:54 PM: Kenneth Wartman III: How long is the test and can we use notes like formula's and such!?
7:54 PM: Anissa Watkins: I’m working on finding it now
7:54 PM: Barbara Mierzwa: sorry it kicks me out when I go to another site on safari....
7:54 PM: John Beck(Ins): No, Ken, you cannot use notes. I will supply the formulas.
7:54 PM: Kenneth Wartman III: Oh ok :)!
7:54 PM: Anissa Watkins: Ok thanks
7:55 PM: Barbara Mierzwa: our test needs to be taken at testing center correct???
7:55 PM: Kenneth Wartman III: If you’re in the supplying mood for the tests, can we get the answers while you’re at it?
7:55 PM: John Beck(Ins): All of you need to take a look at the online test on my website: http://www.mathsoftware.com/walkthru.html
7:55 PM: John Beck(Ins): Yes, you must go to a testing center, Barbara.
7:55 PM: John Beck(Ins): I'm not in that particular mood, Ken.
7:55 PM: Kenneth Wartman III: Darn :P
7:55 PM: John Beck(Ins): Check with me later.
7:55 PM: Kenneth Wartman III: I’m just messing around :)
7:56 PM: Barbara Mierzwa: I am closer to the CCBC campus - is that a possibility??
7:56 PM: Hollynn VanCourt: Will it be at all of the testing centers?
7:56 PM: John Beck(Ins): You can take the test at any of the three campuses: Essex, Dundalk and catonsville.
7:56 PM: Hollynn VanCourt: how about Hunt Valley?
7:57 PM: John Beck(Ins): I'll have to check with them to see if they are willing to proctor this exam, Holly.
7:57 PM: Hollynn VanCourt: ok
7:57 PM: John Beck(Ins): I'll get back to you on that, Holly.
7:57 PM: Hollynn VanCourt: great
7:57 PM: John Beck(Ins): Okay, Class, let's get started.
7:58 PM: John Beck(Ins): Go to page 2, please.
7:58 PM: John Beck(Ins): Here's how we generate Pascal's Triangle.
7:58 PM: John Beck(Ins): We start with 1 on the top line. We call this line zero
7:58 PM: John Beck(Ins): On the next line we have 1 1
7:58 PM: John Beck(Ins): We call this line 1
7:59 PM: John Beck(Ins): Click on "continue" please.
7:59 PM: John Beck(Ins): We start the next line with a 1
7:59 PM: John Beck(Ins): Click on "Continue" please.
7:59 PM: John Beck(Ins): Then we add 1 + 1 to get 2
7:59 PM: John Beck(Ins): That's the entry below the 1 1
8:00 PM: John Beck(Ins): Click on "continue" please.
8:00 PM: John Beck(Ins): Then we end this line with a 1
8:00 PM: John Beck(Ins): This is line 2 or row 2.
8:00 PM: John Beck(Ins): Now we need to generate row 3.
8:00 PM: Barbara Mierzwa has left the room.
8:00 PM: John Beck(Ins): Go to page 3, please.
8:01 PM: John Beck(Ins): We start with a 1 is the left most position.
8:01 PM: Barbara Mierzwa has entered the room.
8:01 PM: John Beck(Ins): Then we add 1 and 2 to get 3.
8:01 PM: John Beck(Ins): We'll place that between the 1 and 2 on the line above.
8:01 PM: John Beck(Ins): Click on "continue" please.
8:01 PM: John Beck(Ins): Then we add 1 + 2 to get another 3.
8:01 PM: Donald Cooke has entered the room.
8:02 PM: John Beck(Ins): We place that 3 between 2 and 1 on the line above.
8:02 PM: John Beck(Ins): Hi, Donald. We're on Ch 4_p3.
8:02 PM: Loredana Lungana has left the room.
8:02 PM: John Beck(Ins): Click on "continue" please.
8:02 PM: John Beck(Ins): So row 3 is 1, 3, 3, 1
8:02 PM: Donald Cooke: sorry I’m later pc issues on top of being sick this week...
8:02 PM: Loredana Lungana has entered the room.
8:02 PM: John Beck(Ins): Not a problem, Donald
8:02 PM: John Beck(Ins): Hi, Loredana!
8:03 PM: John Beck(Ins): Doredana, we're on Ch 4_p3.
8:03 PM: Loredana Lungana: Hi, again
8:03 PM: John Beck(Ins): Go to page 4,please.
8:03 PM: Loredana Lungana: I'm there
8:03 PM: John Beck(Ins): Row 4 is 1, 4, 6, 4, 1
8:03 PM: John Beck(Ins): Row 5 is 1, 5, 10, 10, 5, 1
8:04 PM: John Beck(Ins): Can anybody tell me what row 6 looks like?
8:04 PM: Hollynn VanCourt: 1 6 15 2015 6 1?
8:04 PM: John Beck(Ins): RIGHT
8:04 PM: Mary Stilling: 1, 6, 15, 20, 15, 6, 1
8:04 PM: John Beck(Ins): RIGHT
8:04 PM: Amy Matheny: 1 6 15 20 15 6 1
8:04 PM: John Beck(Ins): RIGHT
8:05 PM: John Beck(Ins): The bottom line is that we generate each row by looking at the preceding row.
8:05 PM: John Beck(Ins): Now math types might do this stuff just to amuse themselves.
8:05 PM: John Beck(Ins): But frequently they find applications for their fun games.
8:05 PM: Anissa Watkins: so you are adding diagonal
8:05 PM: John Beck(Ins): Go to page 5, please.
8:05 PM: Donald Cooke: got it
8:06 PM: John Beck(Ins): We had this problem back in week 1.
8:06 PM: John Beck(Ins): Go to page 6, please.
8:06 PM: John Beck(Ins): A I said, we've done this stuff.
8:06 PM: John Beck(Ins): Go to page 7,please.
8:06 PM: John Beck(Ins): Hmmmm
8:06 PM: John Beck(Ins): Go to page 8,please.
8:07 PM: John Beck(Ins): Click on "continue" please.
8:07 PM: John Beck(Ins): It would appear that row 4 of Pascal's Triangle would generate the answers to our question of tossing 4 coins and recording the number of heads.
8:08 PM: Stephen Scott has entered the room.
8:08 PM: Kenneth Wartman III has left the room.
8:08 PM: John Beck(Ins): Go to page 9, please.
8:08 PM: John Beck(Ins): Hi, Soctt
8:08 PM: Stephen Scott: HELLO
8:08 PM: John Beck(Ins): Scott, we are on Ch 4_p9
8:08 PM: Anissa Watkins: In that triangle are we adding diagonal to come up with the next line?
8:09 PM: Kenneth Wartman III has entered the room.
8:09 PM: Stephen Scott: ok
8:09 PM: Stephen Scott: ok
8:09 PM: John Beck(Ins): You'll have several chances to use Pascal's Triangle to answer some of our binomial problems.
8:09 PM: John Beck(Ins): Anissa, we start with a 1, then we add the two elements above our position to come up with the value of our position.
8:09 PM: John Beck(Ins): Hi again, Ken. we are on Ch 4_p9.
8:10 PM: Kenneth Wartman III: ok, thanks.
8:10 PM: John Beck(Ins): Okay, now we're going to switch gears and talk about counting "INDIRECTLY"
8:10 PM: John Beck(Ins): Sometimes it is easy to answer our questions directly.
8:10 PM: John Beck(Ins): Just look at the problem and give the answer
8:11 PM: John Beck(Ins): But sometimes it is easier to answer our questions indirectly.
8:11 PM: John Beck(Ins): We'll look at some problems we've answered indirectly now.
8:11 PM: John Beck(Ins): Go to page 10, please.
8:11 PM: John Beck(Ins): The direct approach would be to partition the families into those families with no children, those with 1 child, etc.
8:11 PM: Moira Malstrom has entered the room.
8:12 PM: John Beck(Ins): Hi, Moira!
8:12 PM: John Beck(Ins): Moira, we're on Ch 4_p10
8:12 PM: Moira Malstrom: Alright
8:12 PM: John Beck(Ins): Go to page 11, pleas.
8:13 PM: John Beck(Ins): If we wanted to know how many families had at least one child, we could count directly: those with 1 child, those with 2 children, etc.
8:13 PM: John Beck(Ins): Or we could count indirectly
8:13 PM: John Beck(Ins): Go to page 12,please.
8:14 PM: John Beck(Ins): Those with at least one child would be all the families minus those with no children.
8:14 PM: John Beck(Ins): With me?
8:14 PM: Moira Malstrom: yes
8:14 PM: Mary Stilling: Yes
8:14 PM: Hollynn VanCourt: yes
8:14 PM: Loredana Lungana: yes
8:14 PM: Amy Matheny: yup
8:14 PM: Susie Brooks: yes
8:14 PM: Edith Panzarella: yes
8:14 PM: John Beck(Ins): This is an example of counting indirectly.
8:14 PM: Stephen Scott: si
8:14 PM: John Beck(Ins): Go to page 13,please.
8:15 PM: John Beck(Ins): Math types not only talk about "at lease" but they also talk about "no more than."
8:15 PM: John Beck(Ins): Oops, "at least."
8:15 PM: John Beck(Ins): Go to page 14, please.
8:16 PM: John Beck(Ins): We could count this directly as 0-child homes plus 1-child homes, etc.
8:16 PM: John Beck(Ins): Or we could count this indirectly:
8:16 PM: John Beck(Ins): Go to page 15, please.
8:16 PM: John Beck(Ins): With me?
8:16 PM: Kenneth Wartman III: yes
8:16 PM: Hollynn VanCourt: yes
8:16 PM: Mary Stilling: Yes
8:16 PM: Amy Matheny: yup
8:16 PM: Susie Brooks: yes
8:16 PM: Loredana Lungana: yes
8:17 PM: John Beck(Ins): Math types are always interested in doing as little work as possible.
8:17 PM: John Beck(Ins): Go to page 16, please.
8:17 PM: John Beck(Ins): Dilbert is one of my buddies from undergrad school.
8:17 PM: John Beck(Ins): Go to page 17, please.
8:18 PM: John Beck(Ins): Do you agree?
8:18 PM: Hollynn VanCourt: yes
8:18 PM: Kenneth Wartman III: Uh huh
8:18 PM: Moira Malstrom: yes
8:18 PM: Mary Stilling: Yes
8:18 PM: Susie Brooks: yeh
8:18 PM: Loredana Lungana: yes
8:18 PM: John Beck(Ins): But we want a short-cut!!!
8:18 PM: John Beck(Ins): Go to page 18, please.
8:18 PM: Kenneth Wartman III: Don’t we always :)
8:18 PM: John Beck(Ins): Looks like a lot of work to me.
8:18 PM: John Beck(Ins): Go to page 19, please.
8:19 PM: John Beck(Ins): Now, where did that 2^10 come from?
8:19 PM: John Beck(Ins): Each time he answered a question, there were 2 possible answers.
8:19 PM: John Beck(Ins): Thus the 2
8:19 PM: John Beck(Ins): He did this 10 times.
8:19 PM: Kenneth Wartman III: and 10 questions
8:19 PM: John Beck(Ins): right.
8:20 PM: John Beck(Ins): Hence 2^10 possible outcomes.
8:20 PM: John Beck(Ins): Go to page 20, please.
8:20 PM: Kenneth Wartman III: so just like a multiple choice with answers, a , b , c , or d ... we would do 4^10?
8:20 PM: John Beck(Ins): I've underlined the outcomes that satisfy "at least 2 correct.
8:20 PM: John Beck(Ins): Yes, Ken!
8:21 PM: John Beck(Ins): Go to page 21, please.
8:21 PM: John Beck(Ins): So another approach is to take 2^10 and subtract the outcomes that don't have at least 2 correct.
8:21 PM: John Beck(Ins): With me?
8:21 PM: Loredana Lungana: yes
8:21 PM: Hollynn VanCourt: yes
8:21 PM: Susie Brooks: yes
8:21 PM: Mary Stilling: Yes
8:21 PM: Edith Panzarella: got it
8:22 PM: John Beck(Ins): Piece of cake!
8:22 PM: John Beck(Ins): Go to page 22, please.
8:22 PM: Anissa Watkins: I wish
8:22 PM: John Beck(Ins): Looks like a test questions to me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
8:22 PM: John Beck(Ins): Okay, Class, that's it for tonight.
8:22 PM: John Beck(Ins): Any questions?
8:22 PM: Kenneth Wartman III: Ok, Thanks!
8:22 PM: Mary Stilling: Goodnight everyone!
8:22 PM: Hollynn VanCourt: thank you!
8:22 PM: Mary Stilling has left the room.
8:22 PM: Loredana Lungana: Thank you
8:23 PM: Loredana Lungana: Good night!
8:23 PM: Susie Brooks: thank you, good night
8:23 PM: John Beck(Ins): Anybody need a phone call?
8:23 PM: Hollynn VanCourt: I think I'm good
8:23 PM: Loredana Lungana: Me, too
8:23 PM: Loredana Lungana has left the room.
8:23 PM: Edith Panzarella: good night
8:23 PM: Susie Brooks has left the room.
8:23 PM: John Beck(Ins): I'll call you in a few minutes, Anissa.
8:23 PM: Hollynn VanCourt has left the room.
8:23 PM: Anissa Watkins: ok thanks
8:23 PM: Edith Panzarella has left the room.
8:24 PM: Anissa Watkins has left the room.
8:24 PM: Kenneth Wartman III has left the room.
8:25 PM: John Beck(Ins): If you need a phone call, speak up.
8:25 PM: John Beck(Ins): G'night, Class.
8:27 PM: Stephen Scott: later
8:27 PM: Stephen Scott has left the room.
8:27 PM: John Beck(Ins) has left the room.
8:27 PM: John Beck(Ins) has entered the room.
8:27 PM: Barbara Mierzwa has left the room.
8:27 PM: Moira Malstrom: When is the first exam?
8:27 PM: John Beck(Ins) has left the room.
8:27 PM: Amy Matheny has left the room.
8:28 PM: Moira Malstrom has left the room.
8:29 PM: Donald Cooke has left the room.