Monday, December 21, 2009
December 21st a.k.a. Nate's B.Day
Today we got our Super Corrections back, then we started out with two fun warm-up problems dealing with proofs. We then learned that both of the warm-up problems were false, and we learned the lesson that you need to look at something closely to get it. You need counter-examples to prove that something is false. When looking at proofs we were taught that you should use a left hand side and a right hand side and compare the two. Then prove with mathematical steps. At the end of your proof you can put Q.E.D. which means Quod Erat Demonstradum.
On our projects, Mr. OB suggested comparing decibel, Richter, and pH levels to understand what the log scale means. The rest of the class we worked on Projects.
Projects are due by midnight on Wednesday, however, if you need an extension you can talk to Mr. O'Brien. Also, we have the Super Correction follow-up test next class so study!
Math on my mind: I'm getting a little stressed about the project. Formatting is not really my thing and my work is not very understandable. I just need a little vacation. Also I need to study for the Super Correction test... so much to do, so little time.
On my mind today: I have a weird horoscope today, it's very telling.
Also a little fun fact for your day, my favorite Christmas song is Feliz Navidad.
Happy Holidays!
Next Scribe: Maci
On our projects, Mr. OB suggested comparing decibel, Richter, and pH levels to understand what the log scale means. The rest of the class we worked on Projects.
Projects are due by midnight on Wednesday, however, if you need an extension you can talk to Mr. O'Brien. Also, we have the Super Correction follow-up test next class so study!
Math on my mind: I'm getting a little stressed about the project. Formatting is not really my thing and my work is not very understandable. I just need a little vacation. Also I need to study for the Super Correction test... so much to do, so little time.
On my mind today: I have a weird horoscope today, it's very telling.
Also a little fun fact for your day, my favorite Christmas song is Feliz Navidad.
Happy Holidays!
Next Scribe: Maci
Unit 3 test
Here is a copy of the Unit 3 test to revise from:
Unit 3 test
Your only homework other than the final draft of the project is to revise for the Unit 3 follow-up test.
Unit 3 test
Your only homework other than the final draft of the project is to revise for the Unit 3 follow-up test.
Tuesday, December 15, 2009
Class on Tuesday and Thursday
You will have all class to work on the project. I will be in London on Thursday, but feel free to send any project questions while I am away. Remember that you can work together, but the final work must be your own.
Friday, December 11, 2009
Friday, December 11.
Happy Friday, everyone!
We started out class today by sharing our google doc projects with Mr. O'brien. If you're good at time management, maybe you have something done on those. I do not. However, he will be LEAVING THE COUNTRY on Thursday right after school, so make sure to get those rough drafts in by 2:15 on the 17th.
Next up, we worked on supercorrections for the remainder of class. Etherpad was encouraged as a method of discussing confusing problems. Here's the link to that pad: http://etherpad.com/jjNOAl9LoD. We put the numbers of the questions on the board, and anyone who had gotten that question correct put their name next to it. We helped each other out as much as possible, and Mr. O'B came around helping as well.
On My Mind: I found that most of my mistakes had to do with not taking enough time to think about a problem. The biggest lesson I am learning from these tests is that you need to take your time with each problem (within reason) and go back and check everything at the end. There were two problems (#4 & #6) for which I put almost nothing down on my test. Looking back, I knew how to do those problems, just didn't put in enough thought while I was rushing through. I hope that's helpful.
Homework:
Finish up supercorrections and get going on the quarter project due Thurs.
Have a good weekend, and pray for snow!
Next Scribe is Kayla
We started out class today by sharing our google doc projects with Mr. O'brien. If you're good at time management, maybe you have something done on those. I do not. However, he will be LEAVING THE COUNTRY on Thursday right after school, so make sure to get those rough drafts in by 2:15 on the 17th.
Next up, we worked on supercorrections for the remainder of class. Etherpad was encouraged as a method of discussing confusing problems. Here's the link to that pad: http://etherpad.com/jjNOAl9LoD. We put the numbers of the questions on the board, and anyone who had gotten that question correct put their name next to it. We helped each other out as much as possible, and Mr. O'B came around helping as well.
On My Mind: I found that most of my mistakes had to do with not taking enough time to think about a problem. The biggest lesson I am learning from these tests is that you need to take your time with each problem (within reason) and go back and check everything at the end. There were two problems (#4 & #6) for which I put almost nothing down on my test. Looking back, I knew how to do those problems, just didn't put in enough thought while I was rushing through. I hope that's helpful.
Homework:
Finish up supercorrections and get going on the quarter project due Thurs.
Have a good weekend, and pray for snow!
Next Scribe is Kayla
Wednesday, December 9, 2009
A Monday In Review
Happy Snow Day Everyone!
I'm not sure if you do a scribe post for test day... But I guess its better safe than sorry.
As you all know, we had a test on Monday, which I thought may have been the hardest one yet. This was our Unit 3 test, and focused on Exponential and Logarithmic Functions. Mr. Obrien's tests seem to follow a pattern, I get around 2 right, and have a good idea on the rest of them, but can never get them just right.
These are what I thought were the hardest problems:
#8.
Select the values for a and b, with a>b, such that log base b of a is less than zero. Justify your choice for a and b.
I felt that I was pressed for time on this, and guessed that using negative numbers would be a loophole. I chose a to be -2 and b to be -3. However, this was marked wrong. I'm not sure exactly what I could do to fix this, but this would be a good question to ask on the etherpad that Mr. Obrien has set up for Supercorrection Problems.
(http://etherpad.com/jjNOAl9LoD)
#11.
Solve the following equation. (Hint: consider using a graphic method)
On this problem, I guess that I couldn't quite wrap my brain around what he was trying to ask. You see, the hint was to use a graphic method, but there was no y-variable, so I had no idea how you would graph something like this. I guess my problem on this was the lack of the concept needed to solve this problem, and it just didn't quite "click". This would be another good question for the etherpad.
In the end, this test was difficult, but with time well spent on supercorrections, along with the etherpad (which should ease the task substantially), I'm sure that we can all be adequately prepared for the followup test, which occurs on the 23rd.
HW for friday:
Work on your Supercorrections and your quarter project.
ENJOY YOUR SNOWDAY!
I'm not sure if you do a scribe post for test day... But I guess its better safe than sorry.
As you all know, we had a test on Monday, which I thought may have been the hardest one yet. This was our Unit 3 test, and focused on Exponential and Logarithmic Functions. Mr. Obrien's tests seem to follow a pattern, I get around 2 right, and have a good idea on the rest of them, but can never get them just right.
These are what I thought were the hardest problems:
#8.
Select the values for a and b, with a>b, such that log base b of a is less than zero. Justify your choice for a and b.
I felt that I was pressed for time on this, and guessed that using negative numbers would be a loophole. I chose a to be -2 and b to be -3. However, this was marked wrong. I'm not sure exactly what I could do to fix this, but this would be a good question to ask on the etherpad that Mr. Obrien has set up for Supercorrection Problems.
(http://etherpad.com/jjNOAl9LoD)
#11.
Solve the following equation. (Hint: consider using a graphic method)
On this problem, I guess that I couldn't quite wrap my brain around what he was trying to ask. You see, the hint was to use a graphic method, but there was no y-variable, so I had no idea how you would graph something like this. I guess my problem on this was the lack of the concept needed to solve this problem, and it just didn't quite "click". This would be another good question for the etherpad.
In the end, this test was difficult, but with time well spent on supercorrections, along with the etherpad (which should ease the task substantially), I'm sure that we can all be adequately prepared for the followup test, which occurs on the 23rd.
HW for friday:
Work on your Supercorrections and your quarter project.
ENJOY YOUR SNOWDAY!
Supercorrection Discussion
Please use this document to discuss Supercorrections- remember that the goal is to master the material in this unit on logs and exponentials.
http://etherpad.com/jjNOAl9LoD
http://etherpad.com/jjNOAl9LoD
Thursday, December 3, 2009
Thorsday! The 3rd!
Hallo everybody!
Summary: Today we did a quick warm up that consisted of a whole bunch of common algebra mistakes (which took us a wee bit too long :P). After this we got our quiz from last class back and went over the problems. After we finished with the problems we moved on to a little experiment with ether pad where we had a little chaotic conversation about our worries for unit three (check the links on the blog for our two separate pads). Quickly thereafter we moved onto homework questions.
New Stuff: None to report captain!
Solved Questions:
#27: Half-life of a compound @ 5715 years. After 1000 years, only 2 g are left. Find the initial amount.
y=ae^bt
y=ae^b*0 ------> y=a (y intercept)
2= ae^1000b
a= 2/(e^1000b)
1/2 * a = ae^5715b (cancel a's)
ln(1/2)= 5715b
ln(1/2)/5715=b
#17
2000 = 1000(1 + 0.11/12)^12t
ln2 = ln(1 + 0.11/12)^12t
ln2= 12tln(1+0.11/12)
t=ln2/12(ln(1+ 0.11/12))
2000 = 1000e^0.11t
2=e^0.11t
ln2=0.11t
t=ln2/0.11
#43
a) V = mt+b
b) V = ae^kt
30788=ae^0 => a = 30788
18000 = ae^2k
18000/30788 = e^2k
k= ln(18000/30788)/2
Have a great weekend everyone!
Don't forget TEST MONDAY!!
Next scribe: Nick
Summary: Today we did a quick warm up that consisted of a whole bunch of common algebra mistakes (which took us a wee bit too long :P). After this we got our quiz from last class back and went over the problems. After we finished with the problems we moved on to a little experiment with ether pad where we had a little chaotic conversation about our worries for unit three (check the links on the blog for our two separate pads). Quickly thereafter we moved onto homework questions.
New Stuff: None to report captain!
Solved Questions:
#27: Half-life of a compound @ 5715 years. After 1000 years, only 2 g are left. Find the initial amount.
y=ae^bt
y=ae^b*0 ------> y=a (y intercept)
2= ae^1000b
a= 2/(e^1000b)
1/2 * a = ae^5715b (cancel a's)
ln(1/2)= 5715b
ln(1/2)/5715=b
#17
2000 = 1000(1 + 0.11/12)^12t
ln2 = ln(1 + 0.11/12)^12t
ln2= 12tln(1+0.11/12)
t=ln2/12(ln(1+ 0.11/12))
2000 = 1000e^0.11t
2=e^0.11t
ln2=0.11t
t=ln2/0.11
#43
a) V = mt+b
b) V = ae^kt
30788=ae^0 => a = 30788
18000 = ae^2k
18000/30788 = e^2k
k= ln(18000/30788)/2
Have a great weekend everyone!
Don't forget TEST MONDAY!!
Next scribe: Nick
etherpad.com
http://etherpad.com/Ee3IObgYVE
http://etherpad.com/H6rk7mRn1L
Purplemath.com log links (scribe?)
HW:
http://etherpad.com/Ee3IObgYVE
http://etherpad.com/H6rk7mRn1L
Purplemath.com log links (scribe?)
HW:
- Choose 8 problems from the Chapter 3 Review/Test. Include them with your homework packet.
- Organize your homework- make sure each assignment is completely checked and corrected and that each has your name, date, and the assignment at the top. Stack your homework ordered from oldest to newest with the homework cover page on top. Staple your stack in the lower right hand corner. You will hand in your homework on the day of the test before you take your test.
- Revise for the test. Rest. Psych yourself up. Don't be late and don't be sick- Monday is game day...
Tuesday, December 1, 2009
Tuesday, December 1
Happy December!
First we started class by reviewing the homework quiz we took last class. We went over certain problems. Here are some things to remember:
**  "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
means the power you raise 6 to in order to get 6, so the answer would be 1. This is true for any logarithmic equation where the base is the same as the logarithm.
** In order to write  "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
as a ratio, you must use the Change of Base Formula.
This means you would rewrite the log as 
.
** The cube root of a negative number does not involve i's (eg. 
)
** 
means +3 "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
NOT  "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
.
We then took another homework quiz (whew!) on the homework we had done since the last homework quiz. If you missed today's class, you need to make that up.
We spent the next bit of time going over homework problems from the p.253 homework assigning last class. These are the ones we had trouble with: 101, 55, 97, 91, 53.
REMEMBER TO CHECK YOUR ANSWERS AFTER FINISHING EVERY PROBLEM. This is especially important when you are solving a "quadratic" type logarithm; extraneous solutions cannot be eliminated unless you check both answers!
We have a Unit 4 T-E-S-T on Monday. This means that Revision Day is Thursday, so if you have any big questions to talk about, bring them to class then! It would be a good idea to start preparing now for this test, especially if you have been having trouble with logs.
We spent a few minutes talking about the midterm... Functions, polynomials, logs, exponentials, and a bit on sequences/series will all be on the midterm. It will be multiple choice, boring, standard type questions.
Then we opened our textbooks to p. 257 and started talking about logarithmic and exponential functions. There are 5 basic types of these models as you'll see by opening up the book. It's not necessary to memorize the equations of all of these models; you can just refer to this page. We looked over a few of the example problems starting on p. 258. These problems can be solved using rules that we already know about logs in a new way - by looking at real-life math applications. So you can sub in the problem itself into the default equation they give you to represent the problem. Most of them can be solved using your function grapher AKA Super TI-84 Math Buddy.
We'll be doing logs until Christmas, yippee!!
See Mr. O'Brien's post for the homework due next class.
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