Pre-Cal 20S

The Adventure Continues ...

2006-02-11T15:54:00.000-06:00

Our adventures in blogging continue....

Watch for 3 new blogs going live February 3, 2006 ...

Applied Math 40S (Grade 12)

Pre-Cal 40S (Winter '06) (Grade 12)

Calculus 45S (Grade 12)

Coin Hunt Committee

2006-02-10T20:29:00.000-06:00

Long time no post...

Anyway, for those who put up their names in the Coin Hunt Committee, we have a meeting on Monday, at lunch. I think it's in Mr. K's room, so I'll see you all there.

Cheers!

So Long ...

2006-01-30T16:47:00.000-06:00

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 in February for pointers to new blogs for each of my classes.

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

2006-01-30T15:53:00.000-06:00

Helloo ..

I'm sure you all thought you wouldn't be hearing from me again, after my last blog, but I felt that there were a few things that I wanted to say.

It has been an amazing semester. I have met a lot of special, and talented people in this class. My fellow peers were amazing. We helped each other through each of our individual struggles. We laughed more than I thought possible in a student teacher environment, which is always a pleasant surprise.

I really believe that we as students, and Mr.K, have learned more than just formulas and sequences, but we have learned something much more valuable. We as a class have learned how to communicate, how to ask questions, and take the most of of the opportunities that are handed to us. We now can take these things with us to future courses, and wherever our lives may take us. This has been a really fascinating experience, and I am really glad I got to experience it with all of my classmates, and Mr.K.

Mr.K, keep up the good work! (I sound like a teacher, don't I?). It's people like you that show that high school teachers can really care about their students and their learning. The way you interact with your students, and how you go out of your way to help us succeed, well, this just astounds me. Your determination and willingness to succeed is a refreshing characteristic that not all teachers have. You inspire me, as a student, and as a person. You make me strive to be the best I can be, and to always "Go for Gold".

Thanks for all that you have done, I am so grateful. More than you know.

And to my class : I will miss you all. I know I have pre cal with some of you next semester, and I can't wait to get back into the math groove again. And for those of you that I cannot share this experience with next semester, this is a shame. But I wish all of you the best of luck on your exams, and future endeavors.

Congratulations to all of you! You have gone for gold!

Message in a Podcast

2006-01-28T02:18:00.000-06:00

We had our last class on Thursday and made a podcast to celebrate! We left ourselves a "pod capsule" in instead of a "time capsule."

Here is our Message in a Podcast (10 minutes, 31 seconds). Please leave any questions, concerns, complaints, compliments, confusions, uncertainties, anxieties or other inquiries in the comments to this post.

This isn't our last post yet -- I've got at least two more I want to get out before the end. ;-)

AND THEN, THERE WAS ONE

2006-01-26T16:52:00.000-06:00

......Im the last scribe....hmmmmm..... what should I say. It seems as though i shouldnt just sum up today's class but the whole year....but because im lazy thats not going to happen.

Well lets see, today we didnt do much accept get back our factoring test and have half the class scream into a microphone. I'd have to say it was pretty weird today knowing that it was the last class. Usually im used to it being summer before the class says goodbye. But today it wasnt really a good-bye for the summer or forever, it was more like a good bye untill next week when we meet up in Malandrakis' class.

I feel obliged to be the last scribe and you know what the say, save the best for last =p. But I digress and I have to say that to any of you who dont pass the course ( or me) I will miss sharing time with you after lunch for an hour or so and sometime or another ill probably see you in another class.

And to Mr. K, I'd just like to say something upon my behalf and it is the complete truth. When we first started this thing I thought it was a complete waste of time, especially since I dont have a computer at home and I would have to spend extra time finding a computer that I could use. But at the end of the year I realize that the blog is for every student that has ever looked down at their paper and said "what the heck (i know how dumb it sounds) am i doing". The blog is something you can resort to when you need help, or need someone to explain something to you.

Well I would just like to bid everyone an adu (is that how you spell it?) and say it was fun well it lasted. And I have an honor that none of you will ever taste ............................................................................................ The scribe for tommorow is....

THAT'S MISS SCRIBE TO YOU!

2006-01-25T16:25:00.000-06:00

In the beginning of class, Mr. Kuropatwa handed back our, "GO FOR GOLD" assignments to students who have not picked them up yesterday after school. Mr. Kuropatwa set up the PODCAST for us to try out. He gave us the following questions for us to answer:

#1. "If you could go back in time to visit yourself in the beginning of September, what one bit of advice would you whisper in your own ear to help you in this class?"

#2. "Any closing thoughts for this message in a PODCAST?"

Make sure you have the questions answered by tomorrow (Thursday), and that's when we'll start the PODCAST.

How intense this used to before, when someone was picking a scribe. Well the scribe for tomorrow is, StevenF. And I'll pick you because, I can. :D

Have a nice day!
PS: EVERYONE START STUDYING NOW! AND DON'T WAIT TILL SUNDAY NIGHT! ^______^;

2006-01-24T18:22:00.000-06:00

First off I want to apologize for messing up this scribe stuff, I wasn’t really aware.

This is for Thursday, Friday and Monday.

Thursday: This class was kind of a free class to work on our “Go for Gold”. It was going to be our test day but Mr. K moved it to Friday so we would have more time to study. Even though our class was stressing, and louder than usual we all tried to help each other out with questions in our booklets.

Friday: We had our “Sequence and Series” Test, our last test of the course. It was also the last day to hand in our “Go for Gold”, Mr. K extended it to 3:30pm.

Monday: Mr. K handed out a practice exam to get us ready for ours on Monday. (Diyaa I think your wrong. It’s NOT tomorrow). Well the practice exam had questions we learned through out the year, I don’t think we have to hand it in but we should take advantage of it.

-We well be getting our last two test this Thursday and if your forgot to pick up your Go for Gold you can do that tomorrow or anytime soon.

Exam:
Monday, January 30th , 2006
Starts 1:00pm
In the gym
*Pink paper
*Dictionary’s should be handed (we can pick it up one week later.)

Things to bring (some if you want to):
1+ pencils
EASER
Calculator (NO GRAPHING CALCULATORS)
Ruler
Geometry Set

Review On:
http://percival.merlin.mb.ca:8901/
Username: guest
Password: guest

Blog post

2006-01-24T15:33:00.000-06:00

Today we talked about how to study for the exam. There were some good tip's that would work for some of you guys. Some tips are Re-writing your math dictionary pick a group of questions from your notebook or your exorcise book and sort it out into two groups, one would be for questions you understand and the other group would be for some questions you have problems on. Another tip is to get in a study group of 2 or 3 people who are not close friends because you may get off topic, you can make two groups again of questions and study the group you don't understand with the 2 or 3 people you are with. This last tip is excellent because one person may know a topic really well and you may know a topic really well, so you help each other because you may have trouble with the topic your partner knows so your partner may help you with that topic that they are good at.
The EXAM is tomorrow at 1:30 pm in the gym so come early perhaps at 1:00 pm. So don't forget to study and don't be nervous about the exam. YOU CAN DO IT
The scribe is going to be T-SA.

Sunday Punting Practice

2006-01-22T09:03:00.000-06:00

Like sokoban the target is to push objects (in this case punt-discs or 'pucks') around a maze to cover various targets. In a punt maze however the pusher slides forward tilt-style until it hits an obstacle, and a puck that gets struck will be punted forward a matching distance.'

'Aim: Use the black cross as a pusher to 'punt' the yellow pucks onto the blue targets.
Movement: Use the arrow buttons provided to move the pusher (black cross). The pusher will run in a straight line until it hits a wall or a yellow puck. If it hits a puck the puck will be punted forward a matching distance.'

Are you ready to play?

(Thanks again to Think Again!)

Last unit test for the course

2006-01-20T12:37:00.000-06:00

Its the last test... the semester went by so fast. Well the last unit is about sequence and series. It wasn't hard yet it wasn't easy for me, somewhere in the middle. The pre-test was okay... Anyways i want to say good luck to everyone and hope they all get 100% in the GO FOR THE GOLD!

Last Post

2006-01-19T23:24:00.000-06:00

The time has come for the last entry prior to the exams, the unit swept by fast if you look at it now same goes for the course. This unit was alright, not much but what intrigued me was fibonacci sequence, how various species divided such as the rabbits. This unit was however a good way to end the course because it was not to hard. What I learned that i thought was cool was the forumla for finding differnt numbers in the sequence as it might help some bit if taken with science. Maybe last day someone can bring a digi cam and take a picture of the whole class? That would be cool for those who would miss it. GL and HF on the test tomorrow.

FOR THE TEST ONLY

2006-01-19T22:35:00.000-06:00

Hi every body!!!

Tomorrow is very big day for our class, because we have to hand in, GO FOR GOLD and have to get 100%, and also the last unit test. The unit was good and fun, i wish i took longer but :(
I don’t have any thing else to say just GOOD LUCK! On the test.

We sure will miss the class, blog before the test, and Mr. K.

Need my time to work with GO FOR GOLD;)

Blog...BuLOG

2006-01-19T18:36:00.000-06:00

this unit is all about sequences ............ but we only focused on two sequences (arithmetic and geometry sequence) this is the last topic for PC20s this semester this week we also need to hand in our go for gold assignment i hope we'll get our GOLD and to get it we need to get at least a 100% .............that's all and and thank you to all of you !!! .........................PEACE!!! .

Test Blog

2006-01-19T15:59:00.000-06:00

Don't I Look Good!!!

By far, this was my favourite unit. It was short, easy and fun. This unit was not that difficult. Most of it was just applying the formula. I guess the most difficult thing was finding the sum of a sequence that was in negitive numbers.

Well, after this (final) test, there is only four class left before exams. This math class was one of the most upbeat class I have ever had, Mr. K especially. He really got into the material he was teaching. Anyways, good luck everyone on your test and Goal for Gold.

My last blog post

2006-01-19T13:24:00.000-06:00

WOW this is my last blog post for the semester! I didn't even notice that it was the end of the course! this semester went by really fast!

the last unit we did was on arithmetic and geometric sequences. I found this unit pretty easy because I could understand it easily. but for some reason on the pre-test yesterday I blanked out and forgot everything. if I remember the formulas then I'll be good.

THANK YOU to everyone for everything. I really had fun with all of you. one thing that I liked about mr. k's class was all the laughter that we had, thanks mr. k. hope to see some of you in some of my classes next semester.

and....good luck to everyone on the test tomorrow and on the exam!! and that ends my last blog post. =D YAY!!

Last pre test post!

2006-01-18T21:50:00.000-06:00

It's so sad, it's our last pre test blog. This class went by so fast and when I think about it, we learned so much in such a short time. At first I was really afraid of what's to come in advanced math. But I made new friends and all of them are smarty-pants! I'm intimidated by all of you. And thanks to the people that helped me when I needed it. It's seems more like a reflective blog of the whole semester then a pre test blog.

This unit didn't take very long and I enjoyed it. I actually understood almost everything, just some things I get mixed up with. I get answers wrong when I miss read things and not analyze the question properly or well. I also mess up when I rush things, sometimes I just got to slow it down and look over my work. I should get into the habit of looking over my work.

Everything was great, I liked the work we did in class. Sometimes it seems so easy in class, but once I get started on my homework, I don't understand like 20% of it. Later on when I talk to other people in our class, they help me out and I understand what I did wrong and where. The test is tomorrow, after the test comes our exam. We better review in class! Oh, and my muddiest muddiest point is..... The graphing unit. I need help there! Well, see you all tomorrow, and I hope you all do well on the test.
-SAMUS

My last blog post! :(

2006-01-18T20:40:00.000-06:00

I'm sad to say this is my last post for this course:(.
Well this unit went by really fast, much like the whole course did. I think this unit was fairly easy, but like all the other times, I could be eatting my words. I really liked this unit, it was easy! I thought it was going to be hard, because I never did well with patterns, but it was actually gReat! Hope you all do good on the test tomorrow!
I'm gonna miss this class. I really liked this class, althought a lot of times were confusing I think we all helped each other in one way or another to grow and stuffies. We had some REALLY good laughs. I wouldn't trade it. well I hope we all talk after this class. Cya. Have a good semester 2 =)

2006-01-18T18:56:00.000-06:00

Alright lets get this out of the way. It everyone’s last post! i'm really going to miss this class.

Pre cal 20s was such a great experience. Everything we learnt well be useful. Well this unit was fun. On our exercise homework I would sometimes be stuck on stupid questions, and all I needed was to look in my math dictionary. At times I would forget the formula, but now I think I’ll remember. Today’s pre test was a good heads up for what I should study, like the last question. Hmm I hope everyone does well on the test, and exams.

BYE!

My last and only pre-test blog

2006-01-18T17:59:00.000-06:00

Wow....I cant believe that this is my first pre-test blog and it will be my last. This year went by fast and I learned a few things (besides math). I learned that being in a class with 20+ people, you're not going to get the teachers attention every time you want. This being said, it is often useful to come in at lunch at pick up what you did not understand in class. Through the year I also found the curriculum to be easier and easier to understand. At first it was complicated and a little fustrating, but in the last month or so its really lightened up and im beginning to comprehend a lot more. Also too, I find that as a class we've learned to help eachother when we get stuck in a certain area. This has a been a good sem and hopefully next sem will be just as good or better.

Wow. Last Blog Post. Didn't even realize it.

2006-01-18T17:55:00.000-06:00

Well, this is the last post that i will have to do in this semester at least. What can I say? This unit had it's ups and downs. Near the beginning of this unit, I was really enjoying all the sequences, and patterns. The homework was pretty easy, and I seemed to be cruising right along. I don't remember specifically when the tables turned, but I know it was somewhere when we learned about the little boy with all the numbers, adding one to one hundred.The transition was hard for me, and I don't think I fully made it. Which is why I will be studying like mad tonight, to remember those formulas and what not.

I must say that I have really enjoyed working on Go for Gold for the most part. I was worried about it for a long time, but things changed today when I gave my assignment to mr.k to look over, and he said that the majority of them were right. I felt a lot better about that, and that gives me that little push that I needed to finish and pass this assignment. I think I'm going to be ok!

This whole course has definetly had it's ups and downs as well. Sometimes, I fly through the homework, and sometimes, it takes some more thought, and others, I have a hard time not getting frustrated, because it seems tso far beyond my reach. Many times I wanted to give up and drop out of the course, but I stuck to it. I may not pass thi course, or I may not pass by much, but I know that i am happy with the work I did, because I know I stuck it out, and tried my best. If I happen to fail, I am going to try the course again next semester hopefully, and I am going to have a head start on the learning that will be happening. So thanks to you Mr.K. For not helping me, but teaching me how to help myself, if that makes sense.I will take that with me to further courses, along with my math dictionary, of course, haha.

Well, thats about all for me. It's been a great semester, and I hope to have some classes with some of you in the years to come.

As Mr.K says,
Cheers.

My Finale

2006-01-18T17:42:00.000-06:00

This is my last post and I can't think of anything to say. This semester flew by fast and I was almost left behind. But I found a way to cope with my surroundings. Our last test is tomorrow then we move onto exams. Sort of a bring down. We finish a semester with a series of tests.

I bid you all a farewell. (Dramatic Exit)

My last blog post

2006-01-18T17:17:00.000-06:00

Well what can I liked this unit a lot. Are last unit was arithmetic/geometric sequences.
I found the unit pretty easy until I got to the last homework exercise. I thought that geometric sequences were a bit confusing compared to arithmetic sequences that the unit was fun. I thing that out of all the units that we did this one was by far the best. I understood the whole unit and get the problem solving too. I'm so proud of myself.
I just hope that I remember all the formulas for the test.
Well I'm confident about this test,that I'll do alright
well got to go study good luck to everyone on the test and be confident

This semester has been great though sometimes it was really tought and I wanted to give up I didn't. It's been fun hanging with you guys. I wish everyone all the best for the rest of the year hope everyone does good on the exam.
See you good luck=)
bye everyone

My last pre test blog!!

2006-01-18T17:05:00.000-06:00

Well well well.. it's our last test which means last pre test blog. Our last unit was arithmetic/geometric sequences. It was a little hard at first to grasp the idea. I only really got the whole idea recently, I wasn't sure when to use the specific fomulas. Not like there are many fomulas, only two this unit. I never would have thought that this would be considerd a unit and actually use it, but it's pretty interesting.

Well it's been a good semester even though that it was difficult at times. We had a good time and I would like to wish everyone goodluck in their exams and the upcoming test. Have a good rest of the year!!

final bloging

2006-01-18T16:51:00.000-06:00

well i think that this unit has gone by pretty fast. what i think that most people had worked on is the "go for gold" assignment. well i see that alot of people in our grade are working together and working very hard on the "go for gold" assignment, which is a good thing. cause everyone in our class is going to get 100% am i right? or am i right? =)

i don't remember very much about the beginning of this unit but im pretty sure that i thought this unit was going to be tough. what i now think is that i think this unit was easy. thats only if i payed more attention. (tsk tsk on me) anyways, i would always be behind the class but somehow i would try and catch up. i think we'll all see how i do tomorrow on the final test. i still have some difficulties on the words and remembering the formulas but today i will write all the formulas down over and over again so i won't forget.

GOOD LUCK ON THE TEST TOMORROW. MAKE ME PROUD! =)

by the way. today in class... was great. i was so happy because of the talent show and then i got more happy because mr. k annouced that on friday we will get time to work on our "go for gold" and i was extremly hhappy and then everyone was laughing at me or laughing with me and i couldn't stop laughing and i started to cry because i was extremly happy. anyways this is it. GOOD LUCK. BYE BYE AND THIS IS THE ENDDD OF THE COURSE. HIP HIP HURRAYY!!! ... don't get all h appy now. we still have the exam to do. =p
p.s. i hope this colour blinds you LOL.... MUAHAHAHA yes yes im evil... t-sa... MADE ME =(

My Final Pre-Test Blog

2006-01-18T16:18:00.000-06:00

Well, this unit did go by pretty fast. From what I remember, most of the time I spent at home for math was doing my "Go for Gold" assignment.

Anyways at the beginning of this unit, I had some difficulties understanding direct variation and partial variation but now, it comes to me with no problems at all. Well, the arithmetic sequences and series weren't that hard to understand so that wasn't much of a problem either. Geometric sequences weren't hard either. I might actually think that the geometric sequences are less complicated than the arithmetic.

Well, the test on Friday might hold some hard questions that Mr. K always comes up with one way or another but otherwise, I'm feeling pretty good about the upcoming, last unit test of the course. Good luck to the rest of you on Friday!

My Last Post

2006-01-17T23:27:00.000-06:00

Wow, I can't believe how fast time flies, especially when you're having fun. I'm not saying that this course was a whole lot of fun, but sometimes it was. Man.. another semester over.

This unit, once again, went pretty fast. I couldn't quite understand the first topic which is like Variation, but thanks to some help, I was able to understand it. I liked the common difference and factor topics. Kinda challenging, but not too bad. I'm still wondering how we got through these units in a 6-month time frame, from Factoring to Arithmetic/Geometric Sequences.

Don't forget, Go for Gold assignment is due on Friday. And don't panic, just calm down. :) Everything's going to be fine. Be positive. Remember Sissyphus. Good luck to everyone.

Sequences and Series! and my last post...:D

2006-01-17T21:14:00.000-06:00

*

I can't believe that we actually finished the course today! It was kind of exciting when Mr. K wrote it on the board. (a whole S2 math in 6 months) It's new to me and or some of us in the class because we would finish the course in June. Wow! ok that's enough...

This post is my last post in the blog, I think; for the blogging mark. The unit was a start for the S2 course. At first it was a little bit confusing all these kind of Arithmetic, Geometric, Italian, and Fibonacci ones and more, but i got the hang of it when Mr. K explained about them.

Now that I am looking at my dictionary, I see that it wasn't as hard or confusing at some units in the course.

At the end, I enjoyed this unit.

I hope u guys do your best in exams and the assignment and stuff...

p.a.

*

Goodbye...Au Revoir...-My Final Pre-Test Post

2006-01-17T20:12:00.000-06:00

Like any of the other units, this one went by quickly especially with the upcoming exams and the semester coming to an end. At first, learning new formulas was a bit confusing but soon I recognized the differences between series and sequences and it wasn't as confusing.
I'd also like to comment on this being our final posts in this class...
This class was hardly easy. Mr. K. expected a lot from us and I know many of us tried our best. The workload wasn't light and sometimes it was hard, but I think Mr. K.'s enthusiasm for math and to help us understand made all the difference in the world.
With that said, I'd like to wish everyone a lot of luck on the upcoming test, exams, and on their Go for Gold project. This is a busy and stressful time, but always remember Siphysus.

Geometric Sequence!

2006-01-17T19:47:00.000-06:00

Hello, I am so not Sith Lord Darth SAMUS! That would mean that I'm like Darth Vader's sister or whatever. I don't want to be his sister, maybe his wife. Yes, well you all know that I'm the scribe for today. Anyways, Mr. Kuropatwa put up 3 different sequences on the board and we had to find the next 3 that come after each sequence. Here were the three sequences he put up,

sequence: 3, 6, 12...
Next 3: 24, 48, 96
Rule: 3. 2^19

Sequence: 81, 27, 9...
Next 3: 3, 1, 1/3
Rule: 81. 1/3^19

Sequence: 4, -8, 16...
Next 3: -32, 64, -128
Rule: 4. -2^19

The first sequence we have 3, 6, and 12. The next three is 24, 48, and 96. You must be wondering how we got the answer. I know most of us just multiplied the number before the term we're figuring out by 2. That's right, but it's more difficult than that. There's a formula that would make your life easier when solving similar problems. To find the nth term in a geometric sequence is tn= t1(r)^(n-1)
And for the second sequence you notice that whatever the number is you divide by 3. So the common ratio is 1/3. In the third sequence the common ratio is multiply by -2.
We also put in new stuff in our math dictionaries. I can't believe that it's the last entry! This semester went by quite fast. What we put in our dictionaries were,

Geometric Sequences:
i) Recursive definition: an ordered list of numbers generated by continuously multiplying a given first term by a given value (common ratio).
ii) Implicit definition: an ordered list of numbers where each number in the list is generated by an exponential equation.

Common Ratio:
I) The number that is repeatedly multiplied to successive terms in the sequence.
ii) From the implicit definition r is the base of the exponential function.

To find the nth term of a geometric sequence:
tn= t1r^(n-1)

tn is the nth term
n is the rank of the nth term
t1 is the first term
r is the common ratio

And that's the end of our math dictionary... For now. Later on in life we'll have to make dictionaries for different subjects and maybe once again in grade 11. It's kind of sad when you think of it, well I'm kind of bummed. I like our math class. Yes, well after our dictionaries most of us worked on our Go for Gold! If you weren't working on Go for Gold we were assigned to do exercise 62, the whole thing. I guess this is my last time being scribe. For tomorrow, our scribe is...... madam Melissa V! Haha, see you all tomorrow!

Last pre-test blog.. T-T

2006-01-17T18:09:00.000-06:00

Woww, last unit, end of course, zip, zilch, nada - no more! Can we say achievement? Some of you can but I know I can't just yet ... I'm not even sure if I'm going to pass this course so I might have to re-take it next semester .. =(

Anyways, this unit was fun. Who doesn't like learning more in-depth about what they already learned in like ... say grade 4? You know, even numbers, odd numbers ... patterns. That sort of stuff. We've all done this sort of thing before, just this time we went deeper into what it's ALL about. Arithmetic sequences and series, recursive and implicit definitions, differences and how to find it, finding the "nth" term, geometric sequences, sum of numbers in series and so on .. Basically what we need to know are the formulas, and what I've counted is that there are four of them. So yes I think it would be wise to maybe be able to recall the formula without looking in your math dictionary.

Ending this semester is kind of sad ..but relieving, but sad still that this whole frenzy is over ..but then again I might have to repeat this course so it's not all that relieving. =(

I loved being in this class =D You guys made it fun! and easy enough that I merely skimmed the passing mark for first term . . . . .

Well, wish you guys much luck in the future and stay positive :) SAY HI IN THE HALLWAYS! ^^

-- REMEMBER SYSIPHUS!

Why Should I Learn Math?

2006-01-17T14:38:00.000-06:00

This is taken from an article (Math Will Rock Your World) from Business Week. A few snippets:

Y'wanna get a really interesting job working with people on lots of interesting things?

But just look at where the mathematicians are now. They're helping to map out advertising campaigns, they're changing the nature of research in newsrooms and in biology labs, and they're enabling marketers to forge new one-on-one relationships with customers. As this occurs, more of the economy falls into the realm of numbers. Says James R. Schatz, chief of the mathematics research group at the National Security Agency: "There has never been a better time to be a mathematician."

Learn math!

How'd ya like a six figure salary?

...new math grads land with six-figure salaries and rich stock deals. Tom Leighton, an entrepreneur and applied math professor at Massachusetts Institute of Technology, says: "All of my students have standing offers at Yahoo! (YHOO) and Google (GOOG)."

Learn math.

D'ya wanna to work on the biggest most cutting edge issues of our day?

This mathematical modeling of humanity promises to be one of the great undertakings of the 21st century. It will grow in scope to include much of the physical world as mathematicians get their hands on new flows of data .... "We turn the world of content into math, and we turn you into math," says Howard Kaushansky, CEO of Boulder (Colo.)-based Umbria Inc., a company that uses math to analyze marketing trends online.

Learn math.

Y'wanna make one of the most significant contributions to the betterment of humanity?

"The next Jonas Salk will be a mathematician, not a doctor."

Learn math.

What are the implications for k-12 education?

Outfitting students with the right quantitative skills is a crucial test facing school boards and education ministries worldwide. This is especially true in America. The U.S. has long leaned on foreigners to provide math talent in universities and corporate research labs. Even in the post-September 11 world, where it is harder for foreigners to get student visas, an estimated half of the 20,000 math grad students now in the U.S. are foreign-born. A similar pattern holds for many other math-based professions, from computer science to engineering.

The challenge facing the U.S. now is twofold. On one hand, the country must breed more top-notch mathematicians at home, especially as foreigners find greater opportunities abroad. This will require revamping education, engaging more girls and ethnic minorities in math, and boosting the number of students who make it through calculus, the gateway for math-based disciplines. "It's critical to the future of our technological society," says Michael Sipser, head of the mathematics department at Massachusetts Institute of Technology. At the same time, school districts must cultivate greater math savvy among the broader population to prepare it for a business world in which numbers will pop up continuously. This may well involve extending the math curriculum to include more applied subjects such as statistics.

Learn more math!

"But I don't like math. Besides, I don't need it. I'm going into the humanities or business!"

As mathematicians expand their domain into the humanities, they're working with new data, much of it untested. "It's very possible for people to misplace faith in numbers," says Craig Silverstein, director of technology at Google. The antidote at Google and elsewhere is to put mathematicians on teams with specialists from other disciplines, including the social sciences.

Just as mathematicians need to grapple with human quirks and mysteries, managers and entrepreneurs must bone up on mathematics. Midcareer managers can delegate much of this work to their staffers. But they still must understand enough about math to question the assumptions behind the numbers. "Now it's easier for people to bamboozle someone by having analysis based on lots of data and graphs," says Paul C. Pfleiderer, a finance professor at the Stanford Graduate School of Business. "We have to train people in business to spot a bogus argument."

Ya gotta learn more math!

Yes, it's a magnificent time to know math.

'Nuff said.

Scribe Post!!!

2006-01-16T18:30:00.000-06:00

Hey,

At the start of the class, we talked a bit about pi day and stuff. Then we did four problems on the board. Homework is exercise 63 skip numbers 8b and 19. That's it.

Just kidding!

Ok, at the start of the class,we talked a bit about pi day. It's going to be held on March 14, and the school is going to have some sort of a contest where we have to find a coin somewhere around the school grounds. To find it, you have to solve three or more puzzles and the clues will lead to where the coin can be found. It seems like an interesting activity, and I'd join, but I'm on the committee. Otherwise, Mr. K encourages us to join in the activity.

Then we solved four problems on the board:
1.)

a) For a), we were asked to find out what is the mass of ethanol when the volume of ethanol is 250 mL.
Answer: Well, as given in the table, the mass of the beaker without ethanol is 90 (grams?). For every 50 mL of ethanol, the mass of the beaker increases by 39 (grams?). So when the volume of ethanol is 250 mL, the mass of beaker with liquid is 285. Since the dry mass of the beaker is 90, we subtract 90 from 285, leaving us with 195 g of ethanol.

b)I can't remember what was the question for this one... I don't usually write the questions, which I know is irresponsible for my part, but I'll try to remember.. correct me if I'm wrong. We were asked to find out what is the mass of the ethanol when there is 200 mL of ethanol.
Answer: When there is 150 mL of ethanol, the mass of the beaker with ethanol is 207. Well we have to add another 50 mL of ethanol, and when we add 50 mL of ethanol, the mass of the beaker with liquid will increase by 39, so we add 39 to 207, which gives us 246. Then we take the dry masss of the beaker, which is 90, and subtract it from 246. It gives us 156 g of ethanol.

2.)

For this part, it involves a distance/time graph (surprise, surprise for all who are taking Science! We HAVEN'T done this before.. *sarcasm* haven't we had enough of these yet?)
The questions are:
a) Find the eq'n* of the line.
b) What's the slope?
c) What's the domain of the equation?
d) If t = 25, what's the distance?
e) If d = 850, what's the time?
f) If d = 1500, what's the time?

Answers:
a) d(t) = 10t
b) m = 10
c) x is greater than or equal to zero (x ≥ 0), or [0, ∞)
d) d = 250
e) t = 85
f) t = 150

3.) How many multiples of 5 are there starting from 15 to 450?
Sol:
450 = 5(n-1)+15
450 = 5n-5+15
450 = 5n+10
450-10 = 5n
440 = 5n
n = 88

So.. there are 88 multiples of 5 starting from 15 to 450.

4.) Once again, I don't quite remember the question. But I remember the general details. The 18th term is 262, common difference is 15. We need to find the first term and the 100th term in this sequence or series.
So, solving for the first term:
t₁₈ = 262
d = 15
Then;
t_n = t₁ + (n-1)d
262 = t₁ + (18-1)15
262 = t₁ + (17)15
262 = t₁ + 255
262-255 = t₁
7 = t₁

Solving for the 100^th term:
t_n = t₁ + (n-1)d
t₁₀₀ = 7 + (100-1)15
t₁₀₀ = 7 + (99)15
t₁₀₀ = 7 + 1485
t₁₀₀ = 1492

There you have it! That's pretty much everything about what we did in class.

And now, the scribe for tomorrow is.. *drumroll* Sith Lord Darth SAMUS! Haha I know how much you like Star Wars and Darth Vader.. see you later people!

Sunday Slither!

2006-01-15T12:41:00.000-06:00

Thanks go out to Mrs. Armstrong for pointing to today's game from Think Again!.

The game, from Japan, is called Slither Link.

Rules of Slither Link

    1. Connect adjacent dots with vertical or horizontal lines.

    2. A single loop is formed with no crossing or branches.

    3. Each number indicates how many lines surround it, while empty cells may be surrounded by any number of lines.

Play here.

the SCRIBE POST for Jan.13,2006

2006-01-13T16:09:00.000-06:00

Hello, I'm Sir Tim-Math-y, your scribe for today and by the way, you can call me Tim or Timmy for short.

Previous to today's class, maybe 15 minutes before class, Diyaa won in chess vs Mr. Kuropatwa? Goodjob.

During todays class, we started off by going over two questions from last night's homework - exercise #60. We looked over questions 1.a) and 2.

1. a.) Find the sum of the arithmetic sequence: 2,5,8,11, ... to 25 terms.

We used the following equation:
Sn = n/2[2t1+(n-1)d]
S25 = 25/2[2(2)+(24-1)3]
S25 = 25/2[76]
S25 = 950

2. Find the sum: 4+7+10+ ... +73

By utilizing the recursive equation "tn = t1+(n-1)d" we found that we could replace 73 with tn to find the unknown "n". (There was also another way that Kim mentioned that you could also use but I'll try to keep this as simple as possible)
73 = 4+(n-1)3
73 = 4+3n-3
73 = 3n+1
72 = 3n
24 = n

Now by using the now known value of "n", we used the equation that finds the sum of numbers in a sequence.
Sn = n/2[2t1+(n-1)d]
S24 = 24/2[2(4)+(24-1)3]
S24 = 12[77]
S24 = 924

After we were finished quickly answering some uncertainties, we added more to our Math Dictionaries. If you weren't here to get this, I will put it up on the blog so that you can.. stretches fingers**.

TO FIND THE Nth TERM IN AN ARITHMETIC SEQUENCE
tn = t1+(n-1)d
tn is the nth term
t1 is the 1st term
n is the rank of the nth term in the sequence
d is the common difference

EXAMPLE: Find the 51st term in the sequence: 11,5,-1,-7, ...

t1 = 11
d = 5-11
= -6
n = 51

t51 = 11+(51-1)(-6)
t51 = 11+50(-6)
t51 = 11-300
t51 = -289

ARITHMETIC SERIES
The sum of numbers in an arithmetic series is given by:
Sn = n/2[2t1+(n-1)d]
Sn is the sum of the nth term in the sequence
n is the rank of the nth term
t1 is the 1st term
d is the common difference

EXAMPLE: Find the sum to the 30th term in the sequence:
11,5,-1,-7, ...

t1 = 11
d = 5-11
= -6

S30 = 30/2[2(11)+(30-1)(-6)]
S30 = 15[22+(29)(-6)]
S30 = 15[22-174]
S30 = -2280

This is all that will go into your dictionary for today only. Mr. K said that there will be more that will come in time.

After we were done with our math dictionaries, we did some practice questions. Unfortunately, I only have the answer to the first question so that will be the one on the blog.

1.) Joe bought a painting for $1800. After 7 years, the artist became world famous and the painting sold for $14000. If the value of the painting appreciates arithmetically, determine the amount of appreciation and the value of the painting 28 years after it was 1st purchased.

This is the arithmetic sequence: $1800,$14000,_______,_______,_______
The last blank in the sequence (term5) is what we are trying to find. We do so by using the recursive formula.

tn = t1+(n-1)d
t5 = 1800+(5-1)12200
t5 = 1800+48800
t5 = 50600

In 28 years, the painting will cost $50600 (that's alot of money)

That is basically all we did today.

Advice of the Day:
"To study for the exam, you can rewrite your math dictionary using your senses (read it out loud so that you can hear what you are writing). It has helped many in the past." - Mr. Kuropatwa

Projects and our Last Test:
Mr. K says that we will get our projects back on monday and the test, he says we will get back sometime next week.

Upcoming Unit Test:
Our last unit on Sequences and Series is coming to an end and waiting for us will be the unit test! I believe that Mr. K said that our unit test may be sometime next week so good luck with that.

Homework for the Weekend:
Home work for the weekend is ALL of exercise #61 I think. Also, you should do some of the "Go for Gold" assignment to reduce the work during the following week.. I guess I could've put it under advice too! :D

Scribe:
Grr.. Master Jian, me and Jojo didn't plan on making a website on Bestbuy because making a website for your Restaurant (Hong Hing on Ellice :) ) would be much more cool and it's much easier!
Sooo.... Monday's Scribe will be... Commander "John D. - #12" for no reason at all.. hehe.

Well that's the end of my Scribe post, have a great WEEKEND!!! ... I hope I didn't forget anything..

About Podcasting

2006-01-12T23:52:00.000-06:00

First you need to have a mic and speakers for your computer.

Next you need some software to record the audio. I like Audacity for two reasons:
(1) It's free.
(2) It will work on ANY computer; mac, pc, linux, you name it.

Now you'll want to know how to use Audacity. Watch this screencast to learn how.

When you create your podcast you'll want to "export" the file as an mp3 file. To do that you need a little "LAME" (free) file that will allow Audacity to create the mp3 file.

(click on the image)

(The links above don't work. Type them into your browser and they will.)

Guidelines for Producing a Podcast
(1) Plan it out. Don't say, "uh...um..."

(2) Keep it short and to the point. The shorter it is the more other people will listen to it. You will LOVE listening to yourself for hours, others will feel differently about it. 5 minutes or less is good for a start. If you want to do something longer plan, Plan, PLAN and keep it engaging!

(3) When you're finished recording, play it back, listen to it, edit out the parts you don't like. If you want to use music, as an introduction, at the end or to create ambience, you CANNOT use commercial songs. The best solution is to record a song you made up on the guitar, piano or whatever instrument you or a friend play. Talk to me about this if you're not sure what I mean BEFORE you publish your podcast to the blog.

(4) If you talk about any information that can be found on websites, leave a list of links to those sites in "The Shownotes" for your podcast. (i.e. post the links list on the blog post that you publish your podcast on.)

(5) A step-by-step guide to creating podcasts can be found here.

Have Fun With This!

dont work out. scribe (this is not how i want it to look, is different from ms word)

2006-01-12T19:09:00.000-06:00

Before we beginning, just let you know:
t1 means 1st Term, t2 means 2nd Term, t3 means 3rd Term, tn means next Term
tn = # + #(n-1)
t1 = #
tn = t(n-1) + #
# = the difference between 2 numbers
# = The first term number
Today’s class we have do the following questions:

1. Write a Recursive formula for each sequence.

a. 7,14,21,25.… Answer: tn = 7 + 7(n-1)
OR,
t1 = 7,
tn = t(n-1) + 7

b. 12,8,4,0,….. Answer: tn = 12-4(n-1)
OR,
t1 = 12,
tn = t(n-1) - 4

2. Write the 1st. 4 tearm of each sequence

a. t1 = 4
tn = t(n-1) - 3

Answer: 4, 1, -2, -5
t1, t2 , t3, t4
to get the answer we need to
subtract 3 form the last term
we know 4 is the first term already
because it say in the beginning of
the question t1 = 4, now to get the
next term we substract 3 the get the
Next term and so on.

b. t1 = -6
tn = t(n-1) + 5

Answer: -6, -1, 4, 9
3. Find a formula for an arithmetic sequence whose common difference is 5 and whose second term is 12.

Answer: tn = 5(n-1) + 7
OR
t1 = 7
tn = t(n-1) + 5

to find the answer we first need to find the
first term and to do that we will:
___, 12
^
5
12 - 5 = 7 and that is how we do it
4. Show that sq. rt. 2, sq. rt. 8, sq. rt. 18.…. is an arithmetic sequence.

First we simplify all the sq. rt.

Answer: sq. rt. 2, 2sq. rt. 2, 3sq. rt. 2 so the common difference is sq. rt. 2

5. Insert one number between 7 and 13 to make an arithmetic sequence

7, _____, 13
^ ^
d d
We use the last term subtract the first term 13 - 7 = 6 then divide 6 into 2 difference 6/2 = 3 so now we use 7 + 3 = 10

Answer: 7, 10, 13

6. Complete this arithmetic sequence.

16, ___, ____, 25, ___

We use the same solution as question 5
25 - 16 = 9 from 16 to 25 there is 3 difference so we divide 9 by 3 which equals 3.

Answer: 16, 19, 22, 25, 28

and this is about it, for the last 15 mins of class i dont know how to spell and write
it in blog so i can help you guys and girl. sry.

HW is exercise 60
tomarrow's scribe will be SIR. TIM math y for not making a web page on best buy.
thank you and good bye

good luck on the unit test whenever that is, and good luck on the exam, and o yeah, good luck
on your grade 11 math exam next term. bye.
one more thing, good luck on your grade 12 math exam next year. bye now for really
one more thing, good luck on your year of first year of university math exam. good bye for sure
one more thing, marry christmas and a happy new year. good bye now . for really real.

Blogging and Me

2006-01-11T19:29:00.000-06:00

I'm today's scribe. Just because I didn't let her borrow my AAA battery for her mp3 player :\

Today's class was very interesting. Right off the bat we got our math exam assignment that read "Go For Gold" on the front. It also read "You must get 100% on this exam" which scared me. Who wouldn't be scared if you couldn't even get 99.99% on it. Besides getting the assignment everything went smoothly.

We wrote into out dictionary about sequences and series. Basically a sequence is an ordered list of numbers that follow a certain pattern or rule. For example: when giving the sequence 7,11,15... you will notice that the numbers are being increased by the same value which for this is 4. Each number has its own rank, 7 being term 1. There was a big long discussion or argument if you can use term 0 as the first term. We could find term 0 but would it be the same. I don't want to get deeper into this as I could ask the same questions infinitely. If you wanted to find the 50th term of this sequence and your too lazy like me to start writing all the terms, you can use the rule and write it as an equation to make your life easier. The equation here is 4(50-1)+7 or 4(49)+7. 4 being the common difference of the sequence. 49 being how many times you need to add 4 and 7 being the first term which you have to add after multiplying. By doing the math the 50th term is 203.

A series is the SUM of numbers in a sequence to a particular term in the sequence. The series for 7,11,15... Would be 7,7+11,7+11+15... And you get 7,18,33... Now you have a new sequence and you can also get a new series. This goes on infinitely if you haven't catched on yet.

We also learned a bit on how to tell if a sequence is Arithmetic or not. Simply by figuring out the common difference (d=tn - t(n-1)) will determine if its Arithmetic or not. If the common difference is the same throughout each number its Arithmetic. If the number is different each time you have something else known as umm... Ask John he'll know.

Scribe tomorrow is Master Jian Lee. Happy Birthday Janet. I remembered your birthday but of all things, I forgot to say it :(

Sequences

2006-01-10T19:18:00.000-06:00

Well i'm the scribe for today... and I didn't know till I checked this today. :/ I am very sorry if this scribe post isn't all that great today.

Well today we start the class with doing the problems on the whiteboard.
We started to do these...
1, 2, 4, 8, _, _, _, _
1, 6, 11, 16, _, _, _, _
1, 4, 9, 16, _, _, _, _
3, 6, 5, 10, 9, 18, _, _, _, _
1, 1, 2, 3, 5, 8, 13, _, _, _, _
77, 4, 36, 18, _, _, _, _
12, 6, 3, _, _, _, _
and we had to find the next four numbers.

Here are the answers...

1, 2, 4, 8, 16, 32, 64 We just double each number. This is called geometric sequence or another way is 1, 2, 4, 7, 11, 16, 22 This is called sum of consecutive numbers.

1, 6, 11, 16, 21, 26, 31, 36 In this problem we added five. This is called a arimethic sequence.

1, 4, 9, 16, 25, 36, 49, 64
+3, +5, +7, +9, +11, +13, +15

3, 6, 5, 10, 9, 18, 17, 34, 33, 66
3, -1, 5, -1, 9, -1,

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

Mr. K talked alot about this one a lot. This one is the fibonacci It's written in the Davinci Code. It's written in our bodies, it determines how our body is built
He also talked about bees. A female bee has two parents a male and a female, but a male bee has one parent just a female.

77, 49, 36, 18, 8, 0, 0, 0 or 77, 49, 36, 18, 8, 8, 8, 8
In this one we multiplied the two digits of the last number to get the number. But when we get to a one digit number we just write the rest of the numbers as 0 or 8.

12, 6, 3, 3/2, 3/4, 3/8, 3/16
This sequence you multiply by 1/2

We then focused on one sequence. 1, 6, 11, 16, 21, 26, 31, 36. The arthimetic sequence. In this one we added five to get the next number.

Then Mr.K asked us to find the 1001 place in the sequence. We all thought it was hard. And then he showed us this way. He told us to find the number if the place was Zero.

We then did these set of number and we had to find the 1001 number in the sequence.

That is all we did for the shortned class. I hope I got all of it, if I didn't PLEASE tell me =). thanks. Okay well... Homework is all of exercise 58.
The scriber for tomorrow is.... JOJO! because he didn't let me borrow his AAA battery. See, if you just let me borrow it, I would've been nicer to you.

Scribe for Today!!

2006-01-09T20:03:00.000-06:00

Hey students of pre-cal 20s. I'm sorry that my post is a little late. Well today's class started off with Mr K. telling us that all the gr.10 math students are going to be getting an old math exam. We are going to have a minimum of a week to finish, but there are some ground rules.

Can't ask for outside help.
Can't talk to other students about it.

You can however ask Mr. k for help is always willing. This is will be worth 5% of our final math mark and everyone should be able to get 100% on it!!

Well now to start off with the main work we were doing today. The first question was:

Simple interest is proportional to (varies directly with) the amount borrowed. If the interest is $5 for $100 borrowed, what would the interest be for $325 borrowed.
-create a table of values for 4 different amounts
-graph the relation ( I don't know how to make a graph sorry)
-write an equation for the relation

-Table of values
Amount Interest
100 5
150 7.50
285 14.25
400 20
0 0 <--- origin

-Write an equation for the realtion

I(a)= 1/20a

This question is an example of a Direct Variation Relation, which means that the y-intercept is always zero.

A Jet skirental company charges a fixed insurance premium plus an hourly rate. The total cost for two hours is $50 and for five hours is $110.
-sketch a graph (sorry again I'll try to firgure out for next time)
-what is the hourly rate
-how much is the insurance premium?
-write an equation for this realtion.

-what is the hourly rate
You can find this out by finding the slope.
(110-50)/(5-2)
= 60/3
=20

-how much is the insurance premium?
Find this by doing point slope form.
y-y1=m(x-x1)
y-50=20(x-2)
y-50=20x-40
y=20x+10

-write an equation for this relation.
A(h)=20h+10

This question is an example of Partial Variation Relation A.K.A Indirect Variation Relation. This means that the y-intercept is anything but zero.

Well that's all for me, and tonight's homework is Exercise #57 everything! Tomorrow's scribe is--------->stePhANIE

Just For Fun (or Getting Ready to Think Again!)

2006-01-07T13:44:00.000-06:00

I found this "test" over at Teaching and Developing Online. Try it out .... just for fun. ;-)

Below are four (4) questions and a bonus question. You have to answer them instantly. You can't take your time, answer all of them immediately.

OK?

Let's find out just how clever you really are. No looking at the answers in advance.

Ready? GO!!! (scroll down)

First Question:

You are participating in a race. You overtake the second person.

What position are you in?

Answer:If you answered that you are first, then you are absolutely wrong!

If you overtake the second person and you take his place, you are second!

Try not to mess up in the next question.

To answer the second question, don't take as much time as you took for the first question.

Second Question:

If you overtake the last person, then you are...?

Answer:If you answered that you are second to last, then you are wrong again. Tell me, how can you overtake the LAST Person?

You're not very good at this! Are you?

Third Question:

Very tricky math! Note: This must be done in your head only.

Do NOT use paper and pencil or a calculator. Try it.

Take 1000 and add 40 to it. Now add another 1000. Now add 30.
Add another 1000. Now add 20. Now add another 1000 Now add 10.

What is the total?

Scroll down for answer.

Did you get 5000?

The correct answer is actually 4100.

Don't believe it? Check with your calculator!

Today is definitely not your day.

Maybe you will get the last question right?

Fourth Question:

Mary's father has five daughters: 1. Nana, 2. Nene, 3. Nini, 4. Nono.
What is the name of the fifth daughter?

Answer:Nunu?

NO! Of course not.

Her name is Mary!

Read the question again.

Okay, now the bonus round:

There is a mute person who wants to buy a toothbrush. By imitating the action of brushing one's teeth he successfully expresses himself to the shopkeeper and the purchase is done.

Now if there is a blind man who wishes to buy a pair of sunglasses, how should he express himself?

He just has to open his mouth and ask, so simple.

So simple it is ... ;-)

Happy Holidays!!

2005-12-25T14:17:00.000-06:00

I would just like to wish everyone HAPPY HOLIDAYS!!! Hope everyone is having a great time off school! And HAPPY NEW YEAR!!

HAPPY CHRISTMAS TO YOU ALL!!!

2005-12-25T01:37:00.000-06:00

MERRY CHRISTMAS TO EVERYONE!!! I hope you all are having a great holiday season!

iBLOG

2005-12-21T23:59:00.000-06:00

The time has come, a new unit gone by so fast, and a test in no time. What i think about this unit is that it was ok, we did not learn anything much but when we came to something that was hard that i did not understand, it slowly came to me! What i thought was cool was when this unit introduced that everything was bundled together and i did not have much problems. This unit is like pretty good, did not learn much because it was already introduced in earlier units. Also what i thought was cool was that f(x)=3x+1 is that it is the same as y=3x+1 but you get to find an ordered pair with the 1st one. GL HF on your test!

2005-12-21T23:50:00.000-06:00

Hello every body
Tomorrow we have the unite test about function and Relation. This unit was easier then I thought it would be, like everything was something we know befor. In today’s pretest our group did very well except for one question. I don’t have much to say about it. *~*
Just good luck and marry Christmas (*_*)

BLOG Bu LOG...Test

2005-12-21T22:14:00.000-06:00

this unit talks about function and relations
during the past day we've learned about the basics of functions and relations because it's the first time for some of us in the class to study it. i've learned that functions are more easy to use because it's more explicit it tells you what are the values of x and y just by looking at the functions. i think that this is easier than the past lesson i hope i get better marks this time.........merry christmas to all of you........

Fun with Functions!

2005-12-21T21:32:00.000-06:00

We went through this unit very fast knowing that winter break is coming up and we only have a couple more units to go before we finish math. When I look back at all the new things we learned, there are a lot. But I noticed that most of the new things we learned are linked to things we've learned in the past. As we all know, math is the science of patterns.

There were many things that I liked and didn't like about this unit. Usually I enjoy and like what we're doing only if I understand it well. I hate it when I don't understand what we're doing in class, I get this funny feeling in my stomach and I want to cry. But I'm a big girl, so I keep it in. I liked the Domain and Range stuff we did in class. I also like the functions and equations we do.

When I found out that we were going to be graphing again, I freaked. Graphing isn't one of my strengths in math. But I did start to understand things I didn't get before. I still am a bit sketchy in some areas, especially perpendicular stuff, but I am going to study like crazy on the break. I fear the exam!

Overall, all I got to say is that this unit went by quickly (faster than any pace I've went in math) and that I enjoyed it. I understood some stuff and others were challenging. That's what I like about math, the challenge of it. I hope this test isn't very difficult and I hope that everyone does well. Good luck tomorrow!
-SAMUS

Blogging and me

2005-12-21T21:10:00.000-06:00

Another month, another unit, another test. What a way to start our Christmas Break by having a test.

For the past few weeks, we've been looking into the unit of functions. How an input will determine the output. If you look at the equation y=2x+2, it just means what ever x is, you double it and add 2. Another way to look at it is f(x)=2x+2. It means the exact same thing but here f is a function if x. Another part of this unit is domain and range. Domain being numbers on the x-axis and range being numbers on the y-axis. When writing domain and range be sure to use correct brackets.

I don't know what else to say so I'm going back to watch Scarface. Goodluck to everyone on the test.

Test Bloggg

2005-12-21T21:06:00.000-06:00

Welll another unit has been completed.
This unit was on functions and relations I found this unit was fun.
The unit started off eazy as a ll the others until it reaches the last part of the unit.
I think that this unit went a little bit to fast since there wasn't alot of new material to learn.
I think that the last part of this unit was confusing but I started to understand it when we did more exerises on it. Well good luck to everyone on the test tomorrow.
Aaaannnnnddddd happy holidays Merry Christmas to all and to all a good night
Have a happy new year everyone see ya :)

Blogging for Test!

2005-12-21T20:47:00.000-06:00

Well it's time for another test, and with another test is another reflective blog. Well this unit was functions and I'm apprehensive to say that it wasn't to bad. I don't want to regret saying that tomorrow. When you first look at it and it's very intimidating, but really the closer you look you can see that it's really a linear equation. Just instead of having a y you have f(x). Then it was time to substitute the numbers in for x which also wasn't too bad. Being taught the domain and range was a little tricky because first you have to remember which is which (domain=x, range=y). Also the concept of it going on forever or infinity. Once you understand the basics everything else comes more easily. I hope that the confidence I feel now is reflected on the test. I wish everyone goodluck tomorrow and study hard!!!=)

Bloging on bloging

2005-12-21T19:50:00.000-06:00

FUNction and RELAtion.

This the a not bad until, it give me another chance to learn about graphing because in my science class right now, I am also going graph so this really helps me. In the begainning of this unit it was confusing because the the teacher explan to us saying a *function is a rule that turns "an in put" into "an out put" * A rule that turns one thing into another *a rule that turns a number into another number. when he tell us to write it down in our dictionary, i just go "Huh" "Eh" "what" "where" when" "how. because iam just going like INPUT? OUTPUT? what on earth are those. Later on when i see more examples and think about it, it really mean that to find out if a graph is a function or not then to check if you can see 2 dots of y-int. and only one of x-int. then the graph is not a function, but if you see one dot in the y-int. 1 dot in x-int then is a function.

2005-12-21T19:28:00.000-06:00

yess one more day of school then winter break.
last test for this year, wow semester is almost over. =/
Well this unit was really hard for me. i'm not doing to well in this class. I told my friends that and they showed me this textbook thingy, its helping me out alot. Umm i hope everyone does good on the test. Todays pre test was okay, i mostly got the sketch of the graph wrong. I like the questions asking us to put things in an equation.
I really have nothing else to say so good luck to everyone!

pre-blogging

2005-12-21T19:21:00.000-06:00

in this unit we learned about functions and relations. domains and ranges.

one thing that i learned about relations on a graph or how to check if it is a relation or not, is to do the vetical line test. and how to do that is to put your pencil or whatever you have if its a ruler or whatever just as long as its a straight object. you put it on the graph vertically and move it along the page and if you see two points on the line then thats a relation. if there is only one point on the line then it is a function. this unit was pretty hard for me, I think. well thats all i can say about this unit, that it was a hard one.

and to everyone have a merry christmas, a happy new year and a happy birthday to me!!! hahaha

and happy holidays

-_- blogg

2005-12-21T19:20:00.000-06:00

hi everybody. its the time of day where we HAVE TO BLOG.. FOR THAT ONE MARK =). anywayz. what i think of this unit is very confusing, frustrating, and hard. i really didn't understand much about this unit. i had difficulties and felt as if i should give up BUT, i will not give up. i will be studing soon and hope that it'll do me some good. tomorrow is also the last day, BEST WISHES FOR EVERY ONE ON THE TEST. MAKE THE LUCK BE ON YOUR SIDE... HAPPPYY HOLLIDAYYY EVERYONE =).

pre-blogging for test

2005-12-21T18:08:00.000-06:00

Tomorrow is the last test of the year 2005 for pre-cal, wow the year went by so quickly. This unit is about functions and relations. I've learned lots of things in this unit such as functions, relations, domain, range and writing a new equation(example: f(x)=2x-2). I also learned how to write the range and the domain, for example the given range is (0,14). This means that the lowest point on the graph in the y-axis is zero and the highest is 14.Most of the things I've pretty much learned. Like the graph, table of content and an equation can tell you the all the same thing. Well good luck on the test tomorrow and may all of you people have a happy holiday=)

Blogging on Functions and Relations.

2005-12-21T17:33:00.000-06:00

Hi Guys,

Well this is my blogging post. I think this unit was the easiest unit so far. I think i got pretty much everything. But I could be eatting my words later. Almost everything in this unit was material we previously done.
I think I should've done the editors thing, but I couldn't find anything. I've got to try way harder... I need these marks.
I personally think the test should've been after the break. It would've beeen more time to study, but I know where you guys are coming from.
Anyways it's time to study. Hope we all do very very very well!
HAPPY HOLIDAYS! Have fun!

Sincerly,
stePhANIE

Blogging before the test... again.

2005-12-21T16:26:00.000-06:00

This unit about functions isn't so bad at all. The only that's confusing is questions about finding the domain and range of this kind of question:

{x,y|y=2x-1}

The only thing I know about this kind of problem is to find its domain. The range is I think y is greater than or equal to -1. But then again, I don't really know. Function of x is the really topic I had fun with, as it only involved substitutions of variables.

Other than that, I wish everyone luck for tomorrow's test, and Merry Christmas and a Happy New Year!

Scribe, Dec. 21 -Functioning with Functions

2005-12-21T16:09:00.000-06:00

Hello to all... I'm today's Scribe!

Note: Exam Schedule

Friday, January 27 -AM English -PM Geography

Monday, January 30 -AM Science -PM MATH

For more info, check with your teachers.

Now, back to today's lesson...

We began the class with going over some of yesterday's homework (exercise 55.)
Then, of course, we had our Pre-Test. Examples of questions were:

If f(6) then evaluate: f(x) =2x^2-x+4 Answer...70

Other things we were asked were things like the Domain, the Range, being able to calculate slopes and plot points on graphs, create graphs with given information and find out more info from the graph we created.

From the people I talked to, most found the Pre-Test pretty straight-forward, but I still know we'll be studying away tonight. We have NO HOMEWORK, but like I said, we should be studying. Remember everyone our test is tomorrow and good luck!

Scribe for the first day back from the holidays will be...neecole.

To everyone I wish a Merry Christmas, Happy Hanukkah, Crazy Kwanzaa, or just a great holiday season!

Test Blog

2005-12-21T11:03:00.000-06:00

Hello everyone, well jeez has this semester gone fast, just two more days till Christmas Break (yes!!!) and were already half way through one of the days. Well this unit was umm okay but definitely not one of my best, some things Mr K was talking about I was just like BLAH... But after some work I pretty much got it. The input, output thing was easy for me I caught on right away because it's just a new name for substituting then solving for x or whatever the variable is. That was probably my favorite thing in the unit because we've done it tons of times before. The domain and range was confusing to me at first, I understand it sort of now but it's alright. Well good luck on the test everyone.

Have a good winter break
Merry Christmas:)

-Brittany

My least muddiest point!

2005-12-20T21:54:00.000-06:00

I pretty much liked this unit this time around. I think it's because I got a pretty good mark on my rational expressions test, and it gave me that little push that I needed to keep me going, you know what I mean? I really like working with functions, when I know what I'm doing. I know I had problems with the analytical geometry unit, but working on this unit is also helping with my graphing and linear equation skills, which is always nice, because the exams are sneaking up on us. I think and hope that I do well on this test. It would be such a nice christmas present!
Happy holidays! Good luck to everyone for the test!

Scribe post - fun with functions

2005-12-20T21:26:00.000-06:00

In todays class we basically focused on two problems. The first one was as follows: The are of a trapezoid is given by: A=1/2(B+b)h. A trapezoid is bounded by the lines y=1/2x+4, x=4, x=10, and the x-axis. Find it's area.

The first thing we should do is draw a graph with these lines on it. We know what the x axis is, so that is already on the graph. We know that x=4 is a vertical line where the y coordinate, or "output" is 4. The same thing for x=10: it's a vertical line where the output is 10. To figure out the last line(y=1/2x+4) we know that the y-intercept is 4, so we plot a point on the graph where y=4. Then we also know that that slope is 1/2, so we RISE one, and RUN two. Now we have our trapeziod.

To figure out the area of the trapezoid, we need to know the lengths of h, B, and b. The trapeziod that is drawn is a right triangle, but is tipped on it's side. The height(h) is the x axis. To figure this out, we take the x coordinate of ten from one point, and subtract 4 , which is the x coordinate of the other point, which gives us 6. So we now know that the height is six.

To figure out b, which we know is at coordinates (4, x). We don't know the y coordinate, or the "output". But because we have the input of 4, we substitute that into the equation y=1/2x+4, which will give us the y coordinate of 6. SO, between coordinates (4, 0) and (4,6) there is six points. So b=6.

We now need to figure out B. We do the same procedure for this that we did for b. So we substitute as the input in the equation, whic gives us 9 as the output or y coordinate. Between (10, 0) and (10,9) there is nine points so B=9.

Now we know all the information we need to do the formula. So, substituting all our values in the right places would result in: A=1/2(9+6)(6), which gives us 45 units^2!

The second question that was given was as follows: A cellophone contract costs(C) $20/month plus 10 cents/minute(t). Monthly changes are calculated using the formula: C(t)=0.10x+20.

We we first told to draw a graph. A helpful way to do this is to do a table of graphs, using incriments of 10, instead of one. So, use 0, 10, 20, 30....etc as inputs and see what you get as outputs. Then you plot the points and connect the dots.

Then we were told to find how much it would cost if we were to talk on the phone for 320 minutes. To do this, we simply substitute 320 for x, (C(t)=0.10(320)+20 which would result in the answer of $52.

Then, the next part of the question was if there was no teim used on the phone, would there still be a cost? In other words, if the input is zero, is the output also zero? If you plug in zero for x, for find that the output is 20. In other words, even if you were not to talk on the phone for that month, you would have to still pay $20.

We were then asked what the slope is, and what it means. The slope is 0.10, but even though decimals are delightful, fractions are our friends, so the slope is 1/10. The slope represents cost per minute, or rate of change of the cost.

The domain of this function is [0, 44640] because there are 24 hours in a day, 31 days in December, and 60 minutes in an hour. (24)(31)(60)=44640. This is the MOST amount of time that could be used in one month.

The range of this function is [20, 4484} because when the input is 0, the output is still twenty, and we CANNOT HAVE NEGATIVE TIME. There are 60 minutes in an hour, and 24 hours in a day, and (60)(24)=4484.

Thats about it folks. Homework for tonight is Exercise 55. FUN WITH FUNCTIONS! yay.
The scribe for tomorrow is..kimc!!!! good luck!

Oh wait...we have a pre test tomorrow eh? well then I guess she's scribe um....when we get back! happy holidays everyone!

My Reflective Post for this Unit!

2005-12-20T20:25:00.000-06:00

This unit was pretty much all new stuff and the ones that we already knew about.
It covered start to functions and relations and explaining what is Domain and what does it do, which is find the x-coordinate and Range is the y-coordinate. Mr. K also told us what is a relation and give us examples about the differences between a function and a relation.
We then studied about function notation f(X) : is used exclusively for functions. You cannot use function notation for relations. Relations can be expressed as either equations {y=2x+3} or mappings {f:x--->2x-3}
Functions can be expressed in THREE ways: equations, mappings, and a funcion {f(x)=2x-3}
* the numbers are examples.

I hope you guys get a good mark ;)

see you!
p.a

Fun with Functions?

2005-12-20T20:05:00.000-06:00

Wow, what can I say? Six weeks have gone by, and within those six weeks we've done three units, our third one to be rapped up tomorrow. Meaning every two weeks we've been getting a unit test. : Insane difference than that of last year, ain't it? (to those who went to jr. high)

I was pretty interested in this unit, functions and relations. It seems as though I can understand the things being asked, not 100%, but close enough. I think I really come to like this unit. Everytime we are soon to finish a unit, I try to think of what kind of questions would be asked, which mainly consists of those being asked in class, and I feel confidence that I can do it.

Just some prepping, and reminders to keep me from making unseen mistakes, and I'm up for it! In addition to my confidence level, I got an extra bonus mark! -- at least... that's what I think. Too bad E.I takes too much time. I could soo use those extra bonus marks.

*Quick re-cap of a function;
- A function is a relation(usually an equation) in which no two ordered pairs have the same x-coordinate when graphed. One way to tell if a graph is a function is the vertical line test, which says if it is possible for a vertical line to meet a graph more than once, the graph is not a function, therefore making it a relation.

Best wishes everyone!, and I know it may be a day or two early, but happy holidays/winter break as well :)

Blog For Test

2005-12-20T19:20:00.000-06:00

Wow, just one more unit. I can't believe how fast the semester passed. This unit was probably the easiest, since it was a combination of the previous unit.

I think most of you thought it was easy too. The only problem for me during this unit was interpreting the graphs. But its not so much no more. I developed a new way to study on test. (just encase anyone wants to know.) Well, basically I finish my homework then study and read through my notes. So that I don't forget. Because my old way was the opposite, and I would forget what I read. Well I hope everyone has a good test. *And John D. way to go on your last test!*

Blog for the Upcoming Unit Test

2005-12-20T19:14:00.000-06:00

Well, this unit goes by fast.. (this line is getting real old). Functions.. In the beginning, it was quite hard to understand and get it into my head but now.. it still is.. but not really :)? Well like always, it gets better near the end.

Domain, Range, Functions, Relations are all terms in this unit. The part that was most hard for me to understand in this unit was the difference between functions and relations but that part is long gone. I understand it all now thanks to the idea of using my head and ears ;).

I strongly believe that I'll do good on this test and so will everyone else because most of the stuff within this unit is very relative to what we already learned such as the equation of a line and solving for an unknown variable. It's quite straight forward but Goodluck to everyone anyway.

How to Function

2005-12-20T16:16:00.000-06:00

Our unit on functions is coming to a close, so fast time goes by...

This unit did in fact go by very fast and although most of the things we learned were "review," reviewing can still be a challenge. Some aspects of this unit I thought were really simple, like how to tell the difference between a relation and a function, especially on a graph. Sometimes, there were things I didn't completely understand, like what zeros were...and how exactly to find the area of a trapezoid on a graph (today's lesson.*) Luckily, Mr. K. is always there to answer my questions and I know he never wants us to leave his class with a foggy mind.

In general, I think I have a good understanding of the things in this unit and I hope that's reflected in my test mark. Of course, I will study hard and try to understand the concepts but all-around, I think this could be a unit that we all do very well in. Good luck to all, but obviously don't depend solely on luck. Study hard and think you can.

<---relation, not a function!

Scribe post

2005-12-19T16:02:00.000-06:00

Hello everyone. Today in class we got our Rational Expressions tests back. Then Mr.K went over a few questions that people had trouble with. Afterwards Mr.K put up some questions on the board to review on function notation are two of the questions that we were given.
f(x)=3x2-6x+5
B)f(2x)substitute in a 2x to replace the X
3(2x)2-6(2x)+5=
3(4x2)-12x+5=
12x2-12x+5
Then we had a question where we were asked to graph the points heres one of them:
y=2x; xEbrace0,1,2,3,4,5,6close brace
Mr.K said that it would be easier if we made a table of values even though were not asked too.
X Y
0 0
1 1
2 2
3 3
4 4
5 5
6 6
from the table we found the Domain and Range
the Domain is from(-∞,∞) R=(-∞,∞)
We also learned that we can write from negative infinite to positive infinite two different ways
1)(-∞,∞)the we usually write it and
2)(-∞
The last thing that we did was vote when our unit test would and it will be this Thursday the last day before the break.
The homework for tonight is Ex.54 the whole thing
And tomorrow's scribe is Kristin
see ya:)

Functional Acrostics

2005-12-19T15:23:00.000-06:00

Here's the new set of acrostics for you.

Blogging Prompt
Your task is to create an acrostic "poem" that demonstrates an understanding of functions related to any one of these concepts:

FUNCTION
RELATION
DOMAIN
RANGE
MAPPING
NOTATION

As an extra challenge (worth an additional bonus mark) try to make a Double Acrostic, that is, each line should begin and end with a letter of the word you are working with.

Remember, this is a bit of a race. Your answers have to be posted to the blog in the comments to this post. If someone has already used a word or phrase in their acrostic you cannot use the same word or phrase. i.e. It gets harder to do the longer you wait. ;-)

Here is an example of an acrostic that Mrs. Armstrong wrote:

Always in 2 dimensions
Region between the boundaries
Entire surface is calculated
Answer is in units²

Be creative and have fun with this!!

Sunday 3x the Funday

2005-12-18T09:26:00.000-06:00

A triple header this weekend.

Mr. Zhong Kui will make you laugh. I think his "problems" are the easiest ones to solve.

Rat is another "escape" puzzle. Every time you do something wrong he squeaks.

No. 5 is a set of three puzzle/adventures to get a little boy out of trouble.

Have Fun!

Good Friday Scribe

2005-12-16T19:05:00.001-06:00

As you all know, we do not have homework this weekend - OH YEAH!!!! :) Unless you didn't finish the exercise in class today that is ...
In today's class we had a substitute, Ms. Alexiuk. Our tests weren't ready yet so we didn't get them back, and will on Monday. She told us what we were going to do for the whole class, which was to go over any questions from exercise 49 (which there wasn't any of..) and then to work on exercise 50; functional notation.

I think everyone pretty much got the questions... I think number 5 was function of a function type of question, as me and Kim had discussed :P and the rest were pretty easy after you gave some thought into it. I'll go over some questions from the exercise if some of you didn't get it.

Question 5) f(x)=2x+1 g(x)=x²
a. f(g(2)) [at first glance this question could make you go, "wah!??! o_O" but really it's a function within a function type of question, so first thing you need to do is solve the inner function first.]
g(2) = 2²
= 4 [now that you have the inner function, you just simply substitute it within the outer function, giving you f(4).]
f(4) = 2x+1
= 2(4)+1
= 9

Question 6) f(x) = 4x+3
b. f(k+1) = 4x+3
= 4(k+1)+3
= 4k + 4 + 3
= 4k + 7

Question 8) This noted that tha function is called a constant function, therefore all answers equal 3.
a. f(4) = 3 b. f(1) = 3 c. f(k) = 3

Question 9) Let f(x) = 3x - 6. Find a number k so that f(k) = 60. [kay so basically this question is asking you to solve for letter x, but in this case letter k.]
3k - 6 = 60
3k = 66 (moved the 6 to other side of equal sign changing it to a positive, therefore making 60+6)
k = 22 (66 divided by 3)

And there you have it! See, I may have had an easy scribe post today and all I could've posted was three lines but ... I didn't. :) I announce once again that we DO NOT, yeah that's right - DO NOT have homework this weekend :) and that scribe for Monday is -- NATASHA >:) teehee.
BTW Mr. Kuropatwa; hope you knocked them off their chairs with your presentation thingy-ma-jiggy ^_^
Bye now :D Have a good weekend everyone!

Scribe

2005-12-15T16:26:00.000-06:00

Today's class we wrote in our dictionary. Here are the notes just incase anyone wasn't in class:

FUNCTION NOTATION

Any function of x can be expressed by using the variable x and y.
Example: y= 2x - 3
y is a function of x

This allows us to generate a table of values for any function
Example: x-2-1 0 12
y-7-5-3-11

We can determine a specific output for any input.
Example: Find y when x is 7
y=2(7) - 3
y=11
-->There is a point on the graph of this function(7,11)
Using the function notation, f(x), we do exactly the same thing, but we are able to express the connection between the input and the output mor explicitly.
Example: Find f(7)
f(7) = 2(7) - 3
= 14 - 3
= 11
-->We also know there is a point on the graph at(7,11), but it is expressed much more explicitly.

All the following are essentially the same.
an equation y=2x - 3
a function f(x)=2x - 3
a mapping f:x-->2x - 3

Function notation, f(x), is used exclusively for functions. You cannot use function notation for Relations.
Relations are expressed either as equations or mapping.
Functions can be expressed in all three ways.
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*

If you need help on how to solve functions and relations problems check A.Z.'s scribe post.
Homework exercise, exercise 49. Tommorow's scribe will be ----------------------------------------------------------------> Janet

2005-12-14T19:32:00.000-06:00

Hello
I am the scribe again, Lucky me!
Today we start the class by doing some exercise on:

1. IDENTIFY EACH GRAPH:
As a FUNCTION or RELATION:
The answer was
Function: a, b, c, d
Relation: e, f
(a, b, c, d,)are Functions because each input number exactly one out put number.
(e, f) are Relation because it turn one input into one or more different outputs.

2. Which of the following are Functions? Why?
a. {(1,3),(-1,4),(1,0),(0,4)}
b. {(3,2),(0,4),(1,3),(4,3)}
Answer:
(a) is an Relation, because it have tow same input (output is the y)
(b) is an Function because, the input are different (input is the x)
( If the input (x-coordinate) repeats more than once then it may be a relation. Check to see if it has two different outputs, if it does then it's a relation, not a function.)

3. In which of the followings is:
i) x A Function of y
ii) y A Function of x

y=3x-2
y is Function of x
y=x^2-3x+2
y is Function of x
x=y^2-4y-3
x is Function of y
x^2+y^2=9
y is not Function of x
x is not Function of y(because it’s not written as Function)
Functioning its just word, and how the word have written

4. Look at the graph in #1 fore each one wrote the Domain and arange.
a. Domain (-∞,∞)
Range (-∞,∞)
d. Domain
Range [0,∞) {∞ This is called a Lemniscate}

Range: The range is the set of all possible output values (usually y), which result from using the function formula. Keep in mind that domain = INPUT and y = OUTPUT. So, we can say, in terms of the xy-plane that the point (x,y) = (domain, range). In other words, INPUT = domain, which is x and range = OUTPUT, which is y.

The home work is ex#48 omit #13, and the scribe for tomorrow is rus-L [*.*]

Scribe post

2005-12-12T15:32:00.001-06:00

Today we started a new unit, It is called function's and relations. We learned the definitions of these 2 new word's or what ever you would like to call them.
This new unit may be a little confusing because function is a rule that turns "An input" to "An Output" or a thing that turns one thing into another.
Relation on the other hand means a role that turns a single number into one or more different numbers.
We also learned that Domain means the set of all possible inputs for a given function.
There is also Range which means the set of all possible outputs for a given relation.
We learned that we can write functions and Relations in three different ways (Mapping, Pairs, Graphing, and the graph of a circle (for Relations only)).
We put all of this into our Math Dictionary.
The next scribe shall be A.Z.

Sunday Jumping Funday!

2005-12-11T00:00:00.000-06:00

'The goal of the puzzle is to switch the the pegs on the left with the pegs on the right by moving one peg at a time.

Move pegs by clicking and dragging them to open slots. A peg may only be moved to an open slot directly in front of it or by jumping over a peg to an open slot on the other side of it. You may not move backwards. The game ends when you win or get stuck.'

Play the game here. Can you win the 8 peg game? ;-)

(Thanks again to Think Again!)

iBLOG

2005-12-09T00:14:00.000-06:00

It's that time again, another test another unit over. All I can say is that our first unit was a great pre requisite for this unit. This unit for me was so-so in that I sometimes could not really follow along well and did not understand at first but after awhile of looking at it, I have sort of figured most things out and glad that I figured most of it or some of it before the test it feels like I'm king of the world ! This is all i have to say for this unit. GL, HF.

blog before the test

2005-12-08T22:50:00.000-06:00

This unit was hard and easy in same time. But if you follow the step you should be ok. Because it’s easy to get lost in the question step. (Especially the signs.)
I think I might do well in the test. The practice links was very help full. The first like was easier than the second one. But with magic triangle and the chart it’s easier to understand the question that asked. that's all i have to say.

Good luck every body!

Blogging Before the Test..

2005-12-08T22:31:00.000-06:00

I've nothing really much to say about this unit. This unit is neither easy nor hard. We just had to apply what we have learnt from earlier units like simplifying fractions, factoring and stuff and use it to simplify rational expressions. I think I've did this unit before when I was still back in the Philippines when I was taking 1st year High School. It was complicated at first, but after lots of practices, it got a bit easier. The experience really helped me here.

I've really got nothing to say anymore, so I'll end here. I wish luck to everyone for the test tomorrow.

blogging on blogging: Test #6

2005-12-08T21:56:00.000-06:00

This unit was really hard to follow. I got help from an other teacher because Mr. K was busy, and I kind of understand it better now. I hope I do good enough for the test. Most of the exercise questions were hard, same with the pre test, but I happen to get some right, and I got pretty close for some other questions. I enjoyed the questions that were adding and subtracting, those are easy, but it can get confusing at times. Then there’s multiplying and dividing which is okay…and again it gets hard sometimes. Well that’s all I have to say about this unit, I notice the blogs are getting shorter and shorter.

Last Minute Practice

2005-12-08T19:05:00.000-06:00

OK folks, as promised, I've got two excellent little review quizzes you can take to practice your skills. If you have trouble with any of the questions, copy it down and post it to the blog so you can work on it together as a class.

Here are the quizzes:

Rational Expressions (15 questions)

Rational Equation Word Problems (15 questions)

Don't forget the links in the del.icio.us box!

Study hard and do the best work you can tomorrow .... work you'll be proud of. ;-)

Blog BU Log

2005-12-08T18:38:00.000-06:00

This unit I think is not very hard but not easy also. Not hard because as Mr. K said there's nothing new in here. It's not very easy because there are many things involve here like division multiplication subtraction restrictions complex trinomials and many more. Many of us are having trouble with the Distance Rate and Time word problems. I hope we'll do good for the test tomorrow. This is my blog before the test.

blogin' on blogin'

2005-12-08T18:30:00.000-06:00

Here we go again, blogin for the unit test. Alot of the things thats on this unit is basically all the information that was covered earlier in the year; adding/subtracting fractions and multiplication. The new materials were dividing(multiplying by the resiprocal and the restrictions(the non-permissible numbers). Complex trinomial that needs facting is still kind of confusing I still get it. Hope everyone gets pass this one of the last test... I think. GOOD LUCK:D

BLOG blog blog blog BLOG

2005-12-08T18:08:00.000-06:00

this is one of the days where we have to study hard and get nervous for the unit test tomorrow. i hope everyone in my class is ready for the test tomorrow. study hard fellow class mates =). what i think about this unit is that i liked it more than "SLOPES" :) ... doesn't anyone agree with me!? i think "t-sa" agree's with me!! =) i liked learning about adding, subtracting, multipling, and dividing rational expressions because step 0: was to factor everything to the simpliest as we could and no doubt about it that i was excellent and loved factoring.. (most times) and it was great that i learned how to use some of my past learning to combine with rational expressions =). at one point i didn't know what in the world mr. k. was teaching the class, but the next day i caught up very fast, came in for help at lunch and now i think im about ready to do the test.
GOOD LUCK FELLOW CLASS MATES ON THE TEST TOMOROW. =)

BLOGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG

2005-12-08T18:06:00.000-06:00

Every mark counts! This unit was just okay. Like usual, I still have problems with it. I absolutely HATE stating restrictions, I find it pointless. I had fun in class during this unit! Even though I'm not the best in math, I enjoy being in the class. (: I hope Mr. Kuropatwa's mouth gets better! So, I guess dentists can still scare me. ._. Okay, good luck to everyone on the test tomorrow! Happy Studying!

BloGGiNg TiMe AgAin

2005-12-08T18:00:00.000-06:00

Well hello everyone, looks like it's test yime once again, jeez lou weez I don't like tests but what can we do. I think I'll do pretty good on this test, because it's not really new material. It's basically the whole factoring thing all over again. The only thing that screws me up on factoring is when I get my signs wrong, putting negatives instead of positives is never a good thing. My weak spot in this unit was factoring out a -1 it was confusing but nowI think I understand it. I also need to keep reminding myself to ALWAYS ALWAYS ALWAYS like Mr.K says State the restrictions.

Well good luck on the test everyone
-Brittany

Blogging

2005-12-08T16:38:00.000-06:00

I like this unit the best! I felt like I understood most of this unit because it mostly consisted of material we already learned previously. For example, Factoring, adding & subtracting fractions, multiplying and dividing fractions.
The only new things were restrictions and factoring out a negative, and I dont' thing thats't complicated.
I still have some troubles but they're not too bad.

Now I think, I think I get it when Mr.k says "fractions are our friends."

anyways...
Hope you all studied. I hope everyone does well on the test tomorrow! GOOD LUCK GUYS! =)

Scribe post

2005-12-08T15:43:00.000-06:00

Today we put alot of thing's in our Math Dictionaries. We put Adding and Subtracting, Multiplying, and Dividing rationale expressions. We also put some examples of expression's which is very good because now I or We can just look in our Math Dictionaries instead of having to go through our notes and waste good time looking through the note's. We also put specific step's to simplifying rationale expression's (Factor everything, Restrict variable, and Reduce as much as possible). We also put a nifty little trick in our dictionaries, it is factoring out a negative one out of an expression, and now if we "wish" that a particular expression had opposite signs we can just use this little technique. An example

We put the "Magic triangle" in our Math Dictionaries too which helps with Rate, Time, and Distance questions.

We will have our test tomorrow so good luck everyone and don't forget to study and make a blog for your blog mark and dont foreget your lucky charm but not a rael lucky charm because that's cruel :)
The new scribe is IAN.

Blogging and me

2005-12-08T08:16:00.000-06:00

The test is tomorrow and who isn't ready for it? I thought it was today so I studied all night just to write in our dictionarys , but oh well. We basically are using the same rules and patterns in our first unit of factoring and putting them to use on different types of rational questions.

In this unit we learned how to add, subtract, multiply and divide rational expressions. Mr. K said that before you do anything, step 0 is to factor. Then step 1 is to state the restrictions. For example 3+8x/x-2 x here can not be +2 because if x was +2 in the demoniator then this question has no solution. We must always state the restrictions unless we are told not too. Thats basically it. Good luck to everyone on the test which is tomorrow not today if you read this post earlier.

Blog Time once again

2005-12-07T19:50:00.000-06:00

Well I was glad that this unit didn't really have any new matarial. Because I always liked fractoring so I think that I'll do ok. For me this unit was pretty good because I only had to learn how to solve fraction within fraction questions. The only part that I'm a little shakee on is the word problems and fraction within fraction questions. Other than that I'm good I hope that there's only one word problem on the test *cross fingers*
well this is all that I have to say about this unit
so good luck to everyone on friday.

Blog - Solving Rational Equations

2005-12-07T19:02:00.000-06:00

Alas the time has come when we must post our pre test weblog. This unit like all the units we've went through has sure come and gone by fairly quickly. It seemed like we learned a lot of new things in this unit but clarified by Mr. K, he says that we are only utilizing old lessons to solve more complicated equations.

This unit is solving rational equations. I must admit that I had some misunderstandings in the beginning of this unit. I had problems with multiplying a set of number by one to convert them into numbers with common denominators. Of course I did the right thing to do and went to Mr. K with my concerns immediately and cleared up a tangled mess.
Another thing that I am having quite some trouble with is probably the latest thing we learned in the unit? (the stuff where we find missing values given distance, time or rate of travel etc). I guess that all we can do is practice, look over notes and hopefully overcome our obstacles.

With our lucky day off in the middle of the week, I do hope that you guys go through those practice quizzes in hopes of doing great of the unit test on Friday. That's all folks!

what a unit!!!!

2005-12-07T14:32:00.000-06:00

when the first time I encounter this unit I thought I couldn't do it. When mr. k told us that "mathematics is the science of patterns", I remember the lessons that my teachers in the past years thought me. And I apply it on the problems that mr. k gave to us, then my answers were correct. As the day goes by I've learn a lot of things about this unit. And now, let's study for our test on friday. Don't forget the ALWAYS and NO because if you forget that you will be in a big trouble. Until here, see you next time. STUDY HARD and GOD BLESS everyone for the test on friday.

TUESDAY: THE DAY OF OUR PRE-TEST

2005-12-07T13:49:00.000-06:00

Before we start our pre-test
Our teacher Mr. k remind us about the steps
In simplifying rational expressions, the zero step is factoring
Then stating the restrictions
After working on our pre-test individually
We were put into seven groups
Duscussing and comparing our answers
We were able to decide whose paper are we going to hand it in
Mr. k told and discuss the answers
And for friday, be ready for the test
Finally, the next scribe will be DIYAA

blogging time

2005-12-07T00:21:00.000-06:00

this unit there wasn't really much that was new. it was good kind of. well i'm reflecting on how the unit was and i think i did good. multiplying and dividing fractions are hard but i get most of it. on the pre-test we had today i did petty good. I think if i study over the time we have i should get it and hopefully this time I can pass my test. i don't really know what else to say so yes. and that is my reflective blog for this unit. until next time everyone. GOOD LUCK!

Two more units you say? and then exam time?? :|

2005-12-06T20:23:00.000-06:00

Oh boy, looks like only after two weeks we've come up to yet another unit test. Can' t do anything but get used to it, huh? I am not looking forward to this upcoming test. Nope nada nidoran ....... : (nidoran - pokemon? HAH) *cough..right. anyways ....

At the beginning of the unit I was doing pretty well.. and then all these more complicated questions came up in my face and I can't really get down the steps needed in order to solve the question correctly. I mean, we learn how to do some of them, but then when I go home and do homework, the questions are really different and you have to find another way and there's added steps to correctly solve it.

Pattern of math ..... could possibly be the most hated pattern in ~~the~~ MY world :P (Just kidding Mr. Kuropatwa. :D)

Algebraic fractions unit, or whatever it's called, has been like any other unit except the previous one. Previous unit (geometry) was pretty sweet, because I got a good mark on the test :) Which made me happy. I'm not so sure about this one though ..... *getting sad*. D`ahh well. Wish the best of luck to you guys and let knowledge be on your brain o_o

Blogging For The Test

2005-12-06T17:46:00.000-06:00

Hi everyone!

I am posting again because of the test that is coming up this Thursday!

This unit was almost a review of the other stuff (mostly factoring) that we learned before.

(don't forget to review your dictionaries for the factoring and the signs)

In this unit we learned how to simplify rational expressions, multiply, divide, finding the restrictions,

solving for X, factoring again, and in the end some word problems that I think most people {I

did} had trouble doing it on the Pre-test.

In general, nothing was new in this unit, and it was basically what we already knew from before,

except the restrictions.

That is all I have to say!

Good luck everyone and see you all Thursday. :)

Test's coming up. Classes flying by and eek! EXAMS!

2005-12-06T16:16:00.000-06:00

Wow, another test ! I can't believe it. We move faster and faster as time goes on, it's crazy! I'm really worried, because I know that I don't have a very high mark in the class, and I failed the last two tests. I must admit, it's really hard not to get discouraged, because, yikes. I am. I would go and ask for help, but unfortunately, I really don't ever have time. I need to stay focused. I want to keep studying and studying, but I also learned not to overwork myself. Yikes, I'm really lost. I mean, at the beginning of the unit, I liked what we were doing, but now, I'm not so sure. And every time I do a test, I feel good coming out of it, only to find out that I failed. I think I need to think up some new strategies. Any ideas?
I definetly have had a lot of muddiest points, and I really don't know which one is my muddiest. I think I'm gonna try a study group, and then maybe I dont' know, some late night studying or something. I'll do anything it takes. I just gotta remember Sisyphus! *sigh* Well, the test is coming up, I hope I do well! If anyone is having trouble too, I know how you are feeling, because I am stuck at the moment. I almost want to use the "S" word, and say I'm stupid, but I know how much Mr. K doesn't like that. I just know how some of you are feeling, because I'm feeling it too. Well, I just gotta keep at it, I guess. I have to think, "I THINK I CAN I THINK I CAN I KNOW I CAN!".

I like balancing equations though. And suprisingly, I don't mind factoring as much anymore like I did at the beginning of the year, which is a positive thing. And hopefully in the next few days, a light will go on, and I will be able to do all the different kinds of expressions. I think I might need just a little bit of help....

Rational Expressions Pre-Test Practice

2005-12-05T23:05:00.000-06:00

Here are a number of quizzes you can work through to help get ready for the test on Thursday.

Simplifying Rational Expressions (5 questions)

Multiplying Rational Expressions (5 questions)

Dividing Rational Expressions (5 questions)

Rational Expressions with Like Denominators (5 questions)

Rational Expressions with Unlike Denominators (5 questions)

Mixed Expressions and Complex Fractions (5 questions)

Solving Rational Equations (5 questions)

When you finish each quiz you can refresh the page to get another one. ;-)

2005-12-05T18:00:00.000-06:00

today’s class was very interesting( like always) and in the same time nothing was new.
we start the class by Mr. k, saying that tomorrow is the pretest and Tuesday no school and Thursday the test,
and that we have sub teacher.
So here is what was going on in the class. We did some questions for solving for X.
-solve for x:
1) (9)/(x+2)=(5)/(7) {don't forget the instruction} X≠ -2, -7
7x=5(x+2)
7x=5x+10
7x-5x=10
2x=10
x=5 (always check your answer before moving to another question because it will help to you sure that your answer is right and it will also help you to remember the restrictions( Because it might remind you if you forgotthe restriction or write it wrong so you can fix it.)
2) (4)/(x)+(3)/(2x)=(11)/(4) X≠ 0
{Find the less common denominator that will divide the other denominator evenly.}
(16)/(6)=(11x)
(22)=(11x)
2=x check your answer
3) (x-1)/(x+1)+(3)/(x-1)=1 X≠ + or - 1
the common denominator is (x-1)(x+1)
(x-1)(x-1)+3(x+1)=(x-1)(x+1)
(X^2)-(2x)+(1)+(3x)+(3)=(X^2)-(1) balancing the equation (both have x^2 both side, so they reduce.)
X+4=-1
X=-5 Check your answer
Mr. K gave as some helping steps we could use:
1. Always see if you could factor any thing.
2. Write the restrictions.
3. Check your answer.
4) (7)/(3x-12)+(1)/(4 -x)=(2)/(3) X≠ 4
(7)/3(x-7)+(1)/(4 -x)=(2)/(3)
(7)/3(x-4)+(1)/-(x-4)=(2)(3) the common denominator is 3(x-4)
The negative sign could move from between -(x-4) and change the + sign to -.it’s like having.
(7)/3(x-4)-(1)/(x-4)=(2)(3) {t he common denominator will reduce.}
7-3=2x-8
12=2x
6=x
Mr. K finish by saying: "math is science of patters. Nothing is new in this unit accept the factoring and divide and the restrictions."
And then we start some word problem.
Recall: Distance= (RATE)(TIME)
Nicole and Jaindrive in opposite directions. After 3 hours they are 360KM apart. If Nicole’s rate is 10KM/K faster than Jian’s rate, how far did Jain travel?
Nicole___________________& _____________ Jian
10KM/K -----------------------------360--------------------
Jians’s Rate =x (if you don’t know something, then it isX)
Nicole’s Rate= x+10
We used the Magical triangle Distance
Rate_________Time
3x+3(x+10)=360 (3 is the hours)
3x+3x+30=360
6x=330
x=55
The second question was:
Natasha can mow a lawn by herself in 1.5 hours. Steve can mow the same lawn is 2 hours. If they work together mow how long will it take to mow the lawn?
If Steve work 1 lawn in 2 hours then:
(1 lawn)/(2 hours)= (x lawn )/(1 hours)
1=2X
½ =x
Natasha: (same thing but different number)
(1 lawn)/(3/2 hour)=(x lawn )/(1 hours)
1=3/2 x
2/3=X
Finally our home work is Exercise number 53, and omit 11,12,14
The scrib for tomorrow is K.M.

Rational Expressions

2005-12-05T16:29:00.000-06:00

I know that posting reflective blogs isn't the only option anymore, but I still like reflecting on our units so this is my rational expressions post...

If you ever had any doubts about why we needed to learn something in previous grades, you shouldn't have those doubts anymore. This unit was all about using techniques we had previously learned and applying them to some new things like a binomial. The only new things we really learned were things like restricting the variable.

At first I didn't really like this unit, even though it covered things we'd already learned. Slowly I started to get more comfortable with it as old techniques started to come back to me but it's easy to make a small error. Overall, this unit was pretty good since we didn't have to worry about learning any formulas or anything too new. Still, remember to do all your homework and although you can't really "study" math, make sure to practice, practice, practice until you feel comfortable with it.

Blog Before Test

2005-12-05T16:06:00.000-06:00

A muddy point of mine was deciding when to cross multiply. Maybe, we could put a rule for when to cross multiplication. Just today, we when over when to use cross multiplication. ONLY use the cross multiplying rule when solve an equivalent fraction equation.

I thought the weekend homework, Exercise 52 was tough. I when to talk to Mr. K. After, a long while of conferencing, I learned when and how to cross multiply properly. After, the meeting I had a better feeling. I felt better, but still a little worried.

Today, Mr. K told my a funny story of how the "Pythagorean theorem." On exercise 52, question 12, it says "John is building a house 20-m by 10-m but he lost his carpenter square. How can he make sure his house found is at right angles without buying another square?" A carpenter square is a triangles that is 3 by 4 by 5. Which is 3² by 4² by 5². Which equals to 9 + 16 = 25. The conclusion is that home builder's use the "Pythagorean theorem" in real life.

Muddiest (Rational) Point

2005-12-05T15:41:00.000-06:00

We've been studying rational expressions. Use the comments of this post to:

    » share your personal "Muddiest Point" about what we've studied

    » make suggestions about what kind of new information we've learned would be helpful to include in your math dictionaries

    » any other questions, concerns, complaints, confusions, uncertainties, anxieties or other inquiries you may have.

You can use your name or leave your comment anonymously, but, whatever you do, share your troubles here. Remember, you can help each other too! Leave tips and advice in the comments for your classmates. And don't forget, you can form an online study group and "meet" in the chatbox of our blog! Unlike Sysiphus, you're being set up to succeed! Take advantage of every opportunity you've got!