So Long ...

And so we begin where we left off ... don't let the sky be your limit. ;-)

I'm so glad we've had this time together,

Just to have a laugh or learn some math,

Seems we've just got started and before you know it,

Comes the time we have to say, "So Long!"

So long everybody! Watch this space for pointers to new blogs for each of my classes.

Farewell, Auf Wiedersehen, Adieu, and all those good bye things. ;-)

The places you'll go--

You have brains in your head.
You have feet in your shoes.
You can steer yourself
Any direction you choose. --Dr. Suess, Places You'll Go

Seniors, it's almost graduation--what direction are you choosing? Juniors, where are your feet taking you this summer? Wherever you go, be safe!

My very best wishes,
Lani

Exam time!

Your provincial exam is this week. I was thinking on your taking the test and remembering a day some 5 years ago when I was to write an extremely important exam.

I was mindful to get some sleep just prior to the exam and hoping that you will too for this reason:

The bottom line: Teens need 9.25 hours of sleep per night

from Do Teens Get Enough Sleep?

In experiments done at Harvard Medical School and Trent University in Canada, students go through a battery of tests and then sleep various lengths of time to determine how sleep affects learning. What these tests show is that the brain consolidates and practices what is learned during the day after the students (or adults, for that matter) go to sleep. Parents always intuitively knew that sleep helped learning, but few knew that learning actually continues to take place while a person is asleep. That means sleep after a lesson is learned is as important as getting a good night's rest before a test or exam.

from Adolescents and Sleep

At the risk of sounding "mom-ish", have you taken this into consideration in your preparation to be your very best for your test??

On my test day, I was just about to leave for the testing center when I asked my husband to wish me luck. "No," he said, "I won't do that." I was crestfallen. I felt like I needed one last boost before the "big" one.

Then he continued, "You don't need luck. You're smart. You're prepared. You're good. I believe in you. Go out there and just do it!!!! I'll be here when you get back."

It's time for me to pass that forward to you! You don't need luck. You're smart. You're good. You're well prepared (thanks to your hard work and Mr. K). I believe in you. Go out there and just do it!!!!

Scribe

Hello everyone! Sorry again for the late scribe. I just really needed some more time to study before the exam today. Hopefully everyone did a super good job on it! =D


Well, on Friday, if I remember correctly was review for the exam on Logarithms and Exponents, Probability and Trigonometric Identities. The reviews are done the exact same way we do our pretests! All the questions and answers are on the slides. Click here.

The exam is pretty much over so it's kind of a relief for all of us. There's still classes tomorrow!! Scribe for tomorrow shall be.....




I think the it's a new cycle, so I chooose.. Vincent!

- Sandy <3

Today's Slides: June 8

Here they are ...





To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.

PRECAL40S: LAST SCRIBE ... for me at least.

HEY GUYS! sorry my scribe was a day late. I had work yesterday and came home very late so anyways I will be the scribe for yesterday and today ... here goes

JUNE 6, 2007: MORNING CLASS

We had an exam rehearsal for Circular Funtions







The answers are pretty straight forward ...

JUNE 6, 2007: AFTERNOON CLASS

We had another exam rehearsal for Combinatories







and again the answers are pretty straight forward ...

JUNE 7, 2007: MORNING CLASS

Yet, Again we had another exam rehearsal for Logarithm. We had a substitute for Mr. K. She didn't really gave us numbers to be in groups so instead we chose our own groups. Everyone worked on it but in the end we found out that we didn't have to hand it in. The answers are not up yet but I'm pretty sure Mr. K will put it up sometime later tonight. Well that's all for now and the scribe for tomorrow's class is .... SANDY!

Today's Slides: June 6

Here they are ...





To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.

NUMBER 11

Editor's Note: This post is reprinted from an email that has been circulating around the internet. Some of the things stated as fact are false. It is a hoax. Please read the comments.

Mr. Kuropatwa

THE SECRET BEHIND NUMBER 11

I figured this has something to do with Math. HAHA! I think this is interesting as well. I don't know if all of these are true though. Maybe some of you have already read this...

TODAY'S DATE: JUNE 5, 2007

06/05/07

6+5 = 11

Pretty Chilling - read to the bottom. Try it out.
If you are a sceptical person - still read on as it's actually very interesting!!
This is actually really freaky!! (Mainly the end part, but read it all first)
1) New York City has 11 letters2) Afghanistan has 11 letters.3) Ramsin Yuseb has 11 letters. (The terrorist who threatened to destroy the Twin Towers in 1993) 4) George W Bush has 11 letters.

This could be a mere coincidence, but this gets interesting: 1) New York is the 11th state.2) The first plane crashing against the Twin Towers was flight number 11. 3) Flight 11 was carrying 92 passengers. 9 + 2 = 114) Flight 77 which also hit Twin Towers, was carrying 65 passengers. 6 + 5 = 115) The tragedy was on September 11, or 9/11 as it is now known. 9 + 1+ 1 =116) The date is equal to the US emergency services telephone number 911.
Sheer coincidence..?
Read on and make up your own mind:
1) The total number of victims inside all the hi-jacked planes was 254.
2 + 5 + 4 = 11
2) September 11 is day number 254 of the calendar year.
3) The Madrid bombing took place on 3/11/2004. 3 + 1 + 1 + 2 + 4 = 11. 4) The tragedy of Madrid happened 911 days after the Twin Towers incident.
Now this is where things get totally eerie:

The most recognized symbol for the US, after the Stars & Stripes, is the Eagle. The following verse is taken from the Koran, the Islamic holy book:
"For it is written that a son of Arabia would awaken a fearsome Eagle. The wrath of the Eagle would be felt throughout the lands of Allah while some of the people trembled in despair still more rejoiced: for the wrath of the Eagle cleansed the lands of Allah and there was peace."
That verse is number 9.11 of the Koran.
Unconvinced about all of this still ..?

Try this and see how you feel afterwards, it made my hair stand on end:
Open Microsoft Word and do the following:
1. Type in upper case Q33 NY. This is the flight number of the first plane to hit one of the Twin Towers.2. Highlight the Q33 NY.3. Change the font size to 48.4. Change the actual font to the WINGDINGS……………………
What do you think now????

Last Bob of the School Year!!!

Hmmm... what does Craig have to say about the past unit??? Let's see, well it has been quite an easy one, which has helped out a lot, considering I have had so much else on the go! I'm not sure what else there is to say... I would post each of the formulas, but Graeme has already covered that, and we get a formula sheet anyway. Just as a reminder, watch the wording of the questions! Especially when they deal with the bouncing of golf balls and such (i.e. the final question on the pretest). Otherwise, this course has been a great one and I believe the unit was a good one to finish it off. Good luck to all on the test and the upcoming exam!!!

For the final time =D

BOB

Well since this is the last one I guess I'll talk about how my year went in this class. First of all, I have to learn to stop being so lazy, do my homework, and study for tests. Can you believe this is only my 4th BOB?! I know what my potential is, and I guess it was my stupid choice not to work to the fullest. To be honest, I've only done the first 2 exercises out of the whole year. I'm going to struggle on this test as I did on every other and there's no one to blame but myself. So I ask myself, am I going to study tonight? We'll find out..

Have a good night boys and girls

BIP: bob in peace...

My last bob.... Some what happy but sad too, ill have nothing to complain about anymore. This last unit on sequences was pretty fast. I'm not sure this was the easiest one, it was just interesting. Not much i can really say about it. it's just about figuring out the formula and substituting everything in the right place, BUT I'M NOT SAYING IT'S EASY! Anyhow, i feel i got the main concept of this unit. Hopefully i can make this my best test so far but, good luck to everyone on this last test AND ON THE EXAM IN 7 DAYS hope everyone passes the course.

PC40SW07.BLOGGINGONBLOGGING.FINAL

WoW! (Acronyms for World of Warcraft FTW) I can't believe this is my last bob of pc40s!

Sequences! What a unit that was; the unit really displayed math (Patterns was a large header: Math is the science of patterns!). At first, I found the unit quite easy. Then, it became a tiny bit more complicated (but not really) and was still without a doubt easy.

In my whole opinion, I think that this unit was just about remembering the equations (that are given to us anyway?). Arithmetic sequences, Geometric sequences, Series, Series, Series, Sequences and more Sequences! Also don't forgot about infinite series, the Sigma notation (I think that's what it's called) and Converging/Diverging.

Yes yes. This unit includes it's own puzzles but overall was less difficult than the other units.

Good luck to everyone on the Test Tomorrow morning! Sleep early and drink lots of water =)

PS: I almost forgot to blog 3 times today and 2 over the weekend (I would not remember at all, then I suddenly have it in my head. The next moment, the idea was gone again) Good thing I finally did it before I forgot AGAIN!

LOTD(Lesson of the Day): DO YOUR BLOGS WHEN YOU REMEMBER (**The first time)

Bye bye, no more blogs fr: ME <---

BOB

Last unit of the course, probably the fastest too. This basically means the course is over and all that's left is......DUN DUN DAA THE FINAL EXAM!! But you guys don't have to worry, you're all so very bright and smart. I predict that you all will do well on the exam. As for this unit, fairly easy and simple to comprehend. Main idea is to remember the formulas, terms and concepts. If you got all that, the rest is common sense and knowing how to interpret the problems. However do not under estimate the fact that nothing comes easy, so don't expect an easy test to end off what has been an awesome class to be apart of. Good luck to everyone.

BOB - The Final Frontier

I hate Star Trek :\

This is the final BOB guys, but certainly not the last. I think.. Well sequences is basically read the problem, figure which equation to use, figure out any unknown variables if needed and simplify. I hope I can find it easy to do this. This unit was as short as me yet we crammed a lot of information into that short period of time. Hey remember when I broke Miles' toy snake? Boy was that depressing.. Anyways I have a load of studying to do and that movie won't make itself. Good luck on tomorrow's test and in the near future's exam. This is Jojo Rocks logging off for now. In the words of Derek Zoolander, I bid you all a farewell.



"What is this? A centre for ants? How can we be expected to teach children to learn how to read... if they can't even fit inside the building?"

SCRIBE

Another scribe post in the words of Jojo Rocks.

Was surprised finding out I was scribe of all days. Yet today was pretty interesting. In the morning we had our pre-test, a very interesting pre-test mind you and it seemed everyone had a fine idea how this unit worked. Good thing the equations were on the board. I have enough trouble remembering every other equation... Anyways we were put into groups and the room lit up with conversations. My group was interesting, 2 great minds working while 1 great mind in progress (me) layed back with a question mark on his head nodding to everything they agreed too. Just kidding.. Time ran out quickly so we had to wait to see how some answers turned out the way they did.

So yeah, the afternoon class came right away. My mind was sorta somewhere else since I have a short film wit ha script to create by Thursday I think. But yeah we went through the 5Th question on the pre-test since it had some issues for some people. although a lot of people had different rounded numbers we all were pretty close. Funny how a funny worded problem had so many solutions to it. The podcast recording stopped working again. Twice. Blamed it on Richard, the usual stuff. After that was all over and done with we did some homework based questions as review which are on the slides.



There was an interesting talk about the Koch snowflake and how there are 10 different dimensions. Mr. K explained how a square won't see a sphere and how we'd see ourselves as worms if we saw in the 4th dimension. Very hard to comprehend but sounds very easy to say. Don't you love that? Scribe tomorrow is... SAM!











Just kidding Sam, Sorry Jeng your it!

PRECAL40S: LAST BOB

WOW! This is our last unit and its about SEQUENCES. Also this is our last blog for this semester. What can I say? I've learned so much about sequences. At times it can be very confusing because you wouldn't really know which formula to use but with the workshop we do in class helped me a lot. That's all there is to it. Practice ... practice.

Aw, I'll miss this class. Thee best class ever.
Well, GOOD LUCK TO EVERYONE ON THE TEST TOMORROW.
Its our last one, lets ACE IT! haha! :)

FInal BOB

Well, this unit about sequences is relatively easy. There is nothing to say about this unit because all this unit is about is just knowing when and how to use certain formulas on a given time. Just remember that if you don't know the answer just put the number 6 as it will most likely be the right answer.....XD. I hope everyone will do well on our last test...

BOB IIIIIIII

Hello, back for my last Bob of the year and what a unit to end off the year. This unit was one of the better units we have had all year in my opinion. Other then the memorizing of the equations and when to use them, it is simply all fitting an equation into the problems and plugging in the value. I found this unit to have been difficult at first especially when doing the homework, although after the memorization of the equations and when I had to use them, the questions were a lot easier. All though the unit seems easier then the others, I believe the questions can become very hard and the difficulty of the test may become a challenge. All in All I believe this unit was one of the easier ones and as long as I study once again tonight, I think I am going to be ready for the test. Study hard and good luck guys and gals for the sequences test and the long awaited Provincial Exam next week.

-B,O,B

This is our final BOB for this course... Our last unit, Sequences, has concluded. We are now going to prepare for our last test.

I found this unit very cool because I learned a lot about sequences... We learned the formula for finding the "nth" term of the given arithmetic sequence to be...

tn = t1 + (n-1)d

And for the geometric sequence...

tn = t1 (r)^n-1

We also learned how to calculate the sum of a given arithmetic sequence. Instead of adding all the terms, we could simply use this formula...

Sn = (n/2) (2t1 + (n - 1)d)

For a geometric series...

Sn = t1 (1 - r^n)/(1 - r)

I hope everyone will do their very best... Remember, its our LAST chance to improve our term mark...

PreCalculus: The Last Bob.

This unit comes to an end and so does the year. As of today there is exactly one week left before our final exam. Is anyone as excited as i am? I'm kidding, of course! Well, this unit has been okay... sort of. I'm not too sure I'm that great at it yet. However, tonight should help a bit! Lots of studying. Fortunately I have nothing else to worry about except pre cal now. So gives me a great opportunity to practice more. Since practice makes perfect. Back to sequences, though. I'm not too sure if this unit test is going to be as good to me as the others. Hopefully I'm able to do just as well as the other times. Good luck to everyone! Hopefully you guys do very good as well. (:

BO8

Once again another unit is finished and out of the way. Sequences was a pretty easy unit and I really enjoyed it. Once the formulas were out of the way the work got a bit easier. Now that the test is tomorrow, I wish everyone the best of luck and hope that everyone finished off on a good note ready to go into the exam. Well once again another BOB and the last chance to reflect on a unit. Good luck tomorrow guys and girls!

Today's Slides: June 4

Here they are ...





To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.

2B + O --> BOB

Well this last unit was a good one to leave off on. I actually had and am still having a little bit of trouble with the homework because I keep mixing up which formula's are used for what and what goes where within them. But with the blog open in front of me it's not that bad. I'll have it pegged by tomorrow. But just to clarify...

To find a term in an arithmetic sequence:
tn = t1 + (n -1) * common difference
(I used t1 because that "a" confused me for a good long while, had no meaning for me)

To find a term in a geometric sequence:
tn = t1(common ratio)^(n-1)

To find the sum of the terms in an arithmetic series:
Sn = (n/2)(2t1+(n -1) * common difference)
or
Sn= n(t1 + tn)/2

To find the sum of the terms in a geometric series:
Sn = (t1(1-r^n))/(1-r)

To find the sum of the terms in an infinite geometric series:
Si = t1/(1-r)

So I'm going to finish up my homework now.
byebye

bee oh bee number eight!

Well I guess this is the last bob I will do for this school year. Sequences and series are quite interesting to me. It's interesting how you can form series out of sequences...and sequences out of series! Yes...This unit has been quite fun, fast and a little easier to understand. It wasn't as hard as I thought...but problem solving might slow me down if I don't know what Im supposed to do! As well as formulas...I can't remember those haha...but I will. So good luck to everyone on the test. Hope we all do well.
I guess I'll reflect on the whole semester as well. The semester has been great. At the beginning of the semester I did okay and second term came and I didn't do as well. Combinatorics and probability were quite challenging for me. I did like the transformations unit though. Every moment in our class was great...like pi day...where we all got sick of pie and didn't want it anymore...when we carried on with the rest of the questions while Mr. K. stepped out and we laughed when he came in to tell us to do the questions...when we had that conversation with Eddie's class...everything was fun!.. from the smartboard to the old traditional white board...which personally I like better. I miss the math dictionary...haha...it would have been cool because if we still did it on the white board we could have written: END OF COURSE. haha which would have been exciting!!!!! but to everyone...good luck on the test, exam and future studies whether you choose to go to college, university, take a year off, come back or are continuing here at DMCI. BYE everyone for now!

The Last BOB

Hmm, I'm still worried about this sequences test. I understand pretty much everything and I think this unit is quite simple, but I just have this nagging feeling that Mr. K is going to be up to something and make those questions hard on the test, haha. Anyway, wow, this class, course, whatever you call it, was fun. I'll never forget the conversation we had with Eddie and his class from Georgia, the day when the SmartBoard was hooked up (It was pretty funny when Mr. K was trying to learn how to use it. :D sorry Mr. K), and how we implemented it in our class. I wish everyone luck for tomorrow's pre-test, Tuesday's test, and the final exam.

I'll see you in 3 months Bob.

Is it just me, or does anyone else see the countdown on our blog state that the exam is in 220 days?! OH man, wish we had that much time, but it's just my computer's clock playing tricks on me, haha. Well anyways, on to my final bob for the course.
I can't even begin to comprehend how fast our year passed by, but all I can really remember is all of the times that we shared in this class. I really believe that this was a momentous semester for me, and never before have I resided in such a healthily and welcome classroom. There were so many occasions that I simply cannot forget, such as Eddie and the event of conversing with his class in Georgia, or how we intuitively utilized the smartboard for everyday class. Well, enough about that, I believe there's still an overall course review BOB or something similar at the end of the year. So on to talking about our final unit; sequences.
When we first started sequences, I couldn't believe how simple it was. The questions themselves were relatively straightforward, and even the thought-provoking questions just require the implementation of given formulas. All we really have to do is stop and analyze what is being asked, the sixth term, the distance the ball travelled, what is S100, etc. I believe that this test shouldn't prove too difficult for anyone in the class, and hopefully everyone will perform incredibly on our final test.
GOOD LUCK TO EVERYONE ON THE PRE-TEST, TEST AND NEXT WEEK'S FINAL EXAM!!!

BOB-ing 8

WOW, I can't believe that this is the last time I'll BOB. Such a tremendous experience and a really interesting journey I had in this course. I've been struggling, really... This unit is easy though. It's pretty straightforward. There's nothing much to say about this short unit. With its low level of difficulty, we are able to catch up on our schedule and still retain those 3 days of review. I hope everyone does well on the test. I know Mr K. will find a way to complicate this simple unit but I think we'll be prepared by then. Just remember the formulas.

Also, remember:

n - the rank

d - common difference in an arithmetic sequence

r - common ratio in a geometric sequence

t₁ - first term in a sequence

a - also indicates the first term in a sequence

t_n - n^th term

S_n - the sum of the terms until n^th term

GOOD LUCK ON THE UPCOMING TEST and THE MOST AWAITED PROVINCIAL EXAM!

Hello!it's albert M. and I'm the scribe for the last friday. Since we're done in all of our units, we are just preparing for the last test which is the "Sequence" and also for our upcoming provincial exam this coming June 11. We just go over with some problems like these: the first one was just a warm up so it was easy. You are just going to use the formula to find tn and that's it.
First thing that we did was, we divided 8748 by 36 and got a quotient of 243 then we took the 5th root of it and got 3 as the common ratio. Then, we used the formula, plug-in the numbers and solve for the missing term.


(n-1)
using this formula tn = t1r we apply what we had learned in logarithms to find the value of n.


First one:


k = 1 tells you that k will starts at 1 and will end at 4.


Therefore plug in 1-4 for the k in to the 3k.


Chris showed the long method or the sum formula to get it done.





Second one:


k = 0 tells you that k will starts at 0 and will end at 3.


Therefore plug in 0-3 for the k to the 2^k.


Chris used the long method again to show it is the same.

Mr. K asked us to come up with two more different sigma notation for the same value and here's some of our answers. You can write the sigma notation of the same value in infinity ways.
We can use what we have learned to Mr. Green in his video clips that you can find in youtube, as we get the common ratio for the numbers in geometric sequence or you can divide the first two numbers, if you get r<1 then it converges and when r>1 therefore the answer diverges which you can see above.
We got the perimeter of the first triangle = 42

the perimeter of the second triangle = 21

the perimeter of the third triangle = 10.5

You can notice the pattern already didn't you?

try to get its common ratio by dividing the second number to the first number or the third number to the second one.

Lastly, use the formula for infinity then you'll get 84 as an answer.

This is so pretty straight forward so i won't explain it.

We are working on the last question which is the last clip but the bell rang already so we're just going to continue it on Monday which will be later discussed by Jojo who rocks!

Research Assistant

Here I am again with another research assistant! For our final unit in the entire course, Sequences, I have compiled a list of links to help anyone review or practice for the upcoming test. I found these sites earlier today, hopefully they can help anyone who needs help trying to understand or anyone in search of extra practice for this unit's test.

REVIEWS/TUTORIALS

http://home.alltel.net/okrebs/page131.html

http://www.sparknotes.com/testprep/books/sat2/math2c/chapter12section2.rhtml

(The following four are from the same site, just broken into separate portions.)

http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut54a_seq.htm

http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut54b_series.htm

http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut54c_arith.htm

http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut54d_geom.htm

PRACTICE QUIZZES/TESTS

http://rutherglen.ics.mq.edu.au/math106S206/exercises.html
(scroll all the way down, select the second choice then click "get the quiz")

questions: http://www.math.umn.edu/~stanton/3113/exam1.html

solutions: http://www.math.umn.edu/~stanton/3113/pracexam1soln.html

I hope that these links can be utilized to help anyone review for the upcoming test, of which I wish everyone good luck! Have a great weekend everyone!

Today's Slides: June 1

Here they are ...





To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.