Reflection on Conics

Well that was a quickfast unit. I found it so much easier than any of the previous units. :) But lately I've been lazy sooo... I need to get back with the program and practice, practice, practice! >_< Oh and I still need to look over the formulas a few times to make sure I don't mix them up. Remember that the transverse axis connects the two vertices of the hyperbola and can be either horizontal or vertical.

Good luck to everyone!

Reflection on Combinatorics

Most confusing unit ever. D: Who knew counting could be so difficult?! I don't know if I can manage to pull off a passing score on the test or not. Hahah, yes.. no confidence here whatsoever.

All of that binomial theorem business was pretty much the only thing I actually got down pat in this whole unit. So basically, I have to keep in mind that a permutation is an ordered arrangement of objects without repetition. On the other hand, a combination is an arrangement of objects where order does not matter. Circular permutations are a pain in the neck annnnnd I shouldn't slack off with my homework because I definitely need the practice. XD That's a slap on the wrist for me.

I'm off to work on the rest of the poker questions! Good luck to everyone, I know I'll need it.

Spock was telling the truth...

So I'm back... and this time I'm here with the scribe post for today! :)

We started off the day by talking about marks, tests, and exams. Turns out if you get a higher mark on your final exam than your class mark, Mr. K will automatically give you the higher mark! :D But don't just bet it all on that exam since he says there's a higher probability that you will get a higher mark in class than in the provincial exams.

Everyone was given numbers and we went into our groups!

We then went back to our homework which was to prove whether Spock was telling the truth. Turns out he was telling the truth and this was verified by Anthony. Instead of just using the formula to figure out the partial sum (which turned out to be 1 million), you have to keep adding the partial sums in order to get the number that Spock mentioned (which was 1 771 561). Hahhhh.. I don't really recall what Anthony did in order to get Spock's number. Comment on the post with the answer Anthony! :)

Mr. K advanced the slide and we were presented with the first question of the group pre-test.


Sometimes questions will ask how many years it would take for the population to double and they won't include numbers but it won't matter because after the second line you'll end up dividing the doubled number by the original number which will equal to 2! (Hahhh... I hope that made sense.)

*Make sure you use the squiggly equal sign to show that it's a decimal approximation.

In, 1(c) we also used the same formula as the previous two, so that should be easy to understand without any elaborate explanations.


From the 1(b) we know that the population doubles in (approximately) 128.7069 years. From 1(a) we got, P = 630 700(1.0054)^y. We just replace 1.0054 with 2. In the exponent, we just divide time (t) by the period (p) which is 128.7069 in this case.

In 1(e), we use the "pert" formula as Mr. K calls it. A = Pe^rt and just plug in the numbers.

I'll post up the rest of the answers -- the ones that I have figured out anyway -- for the rest of the slides (as in the ones that weren't part a part of the pre-test.) later.. or something. XD





I hope this helped the people who were away for the university thing understand the exponential formulas more. Good luck to everyone on the test!

The next scribe blindly picked by me and with the help of my cousin's pointing finger is... Anthony!

Reflection on Exponents and Logarithms

Um hi, I'm your alternate scribe for the day since Emmelion was not present in class. But this isn't the scribe post just yet, it's just my BOB because our test is tomorrow..

It feels to me as though this unit went by quickfast. The logs deal sounds simple enough, or not. XD It does get disconcerting every once in a while but I'll be fine.. I hope so anyway.

Er, we've ended the unit off with exponential modelling which is the hard part for me. I need to figure out which formula to implement for various cases. I guess it's time to whip out that exercise booklet we were given at the beginning of the course. 8)

Important things to remember:

The Anatomy of a Power:
a^b = c

a is the base.
b is the exponent.
c is the power.

Exponential Functions have asymptotes.

A logarithm is an exponent!!! (Just saying.)

log_ac = b

a is the base.
b is the exponent.
c is the power.

Given f(x) = log_dx...

In f(x):
Inputs are exponents.
Outputs are powers.

In f^-1(x):
Inputs are powers.
Outputs are exponents.

(log_ax is just the inverse of a^x.)

The Product Law:
log_bMN = log_bM + log_bN

The Quotient Law:
log_b = log_bM - log_bN

The Power Law:
log_bM^k = klog_bM

The Change of Base Law:

log_aa^x = x

The Common Logarithm: when no base is indicated, the base of the logarithm is 10

The Exponential Function
f(x) = e^x

The Natural Logarithm
f(x) = ln(x)

Formulas, ahhhh!

A = P(1+)^tn

A is the amount.
P is the principle.
r is the interest rate.
n is the times you compound.
t is the time.

A = Pe^rt
(with continuous interest? :S)

A = A₀(m)^t

A₀ is the original amount.
m is the multiplication factor or growth rate.

A = A₀(m)^t/p

p is the period; amount required to multiply by "m" once.

D: That took much longer than I expected. Hmm, I hope I got all the information right, else leave me a comment and I'll change it ASAP. :) Yeah, good luck to everyone on the test and you know.. study. Don't forget your delicious links too!

DEV Project Timeline

DEV Project Timeline

April 24 - Finalize all questions.

April 26 - Develop story concept.
April 28 - Finalize storyline.
April 28 to May 21 - Work on comic.
May 21 - Finalize all panels.
May 21 to May 31 - Tweak, edit.
May 31 - Absolute DEV project deadline.

Reflection on Identities

So... this one's going to be short and not very helpful to anyone. It'll just be a reflection on my part.

K, I didn't have a lot of fun proving the identities since the clever ideas never really got to me in time. XD They eventually clicked in my mind... after a while. That should still count for something, right? Hahah. I also keep forgetting the main corollaries even if there are only three of them. How sad.

The only break I got during this unit were the sum and difference identities. Yes, that would be the sine and cosine dance we performed during that one class. Hahah. Well, other than the dance I found that applying the sum and difference identities were manageable.

Meh, nonetheless I'll give it my best shot and study excessively until the day of the test which has been moved to Thursday. Good luck to everyone on the test!

By the way, lovely work on our mascot, Ingrid! :D She deserves brownie points for sure.

Reflection on Transfomations

Here's my bob.

Well this unit overall made me dizzy. I kept mixing up the transformations -- I still do sometimes... :\ I haven't gotten the hang of Trigonometric Modelling so I'll go practice that. (As a matter of fact, I'm working on one as I type this up.) Remember, reciprocal functions are not the same as inverse functions! Hmmm, I thought the easiest part of the unit was graphing absolute values. Batman function! :D

Anyway, I'm glad this unit's just about over and done with because that was way too much graphing for me. XD Too bad I have feeling I'm not with graphing just yet, sigh.

A review of some sort:

In f(x) = Af(Bx-C) + D:
A - stretches or compresses the y-coordinates.
B - stretches or compresses the x-coordinates.
C - shifts the graph left or right. (Watch the sign of C!)
D - shifts the graph up or down.

f(x) --> -f(x) - y-coordinates are multiplied by (-1) causing a reflection in the a-axis.

f(x) --> f(-x) - x-coordinates are multiplied by (-1) causing a reflection in the y-axis.

Even functions: The function is symmetrical about the y-axis.
f(x) = f(-x)

Odd functions: The function is symmetrical about the origin.
f(-x) = -f(x)

Inverses: f^-1(x) undoes whatever f(x) did. (x and y values pretty much just switch places)

Reciprocals: Find invariant points where y= -1 and 1 first!

Stretches before translations!

Stretches before translations!

Stretches before translations!

I hope I got those right. I don't really have much confidence in myself when it comes to math. XD If you spot anything, drop me a sweet little comment! You can always view past slides, scribes, or deliciously informative links if you need more on Transformations. Good luck to everyone on the test! But luck's only a small part of it so remember to study, study, study!

last scribe for circular functions?

Hi! It's me again but please let me introduce myself formally this time. I'm Laika and I'm here to scribe for the day. Since today is Thursday, this means our unit test on Circular Functions is tomorrow. In preparation for the test, today our class worked on a pre-test where Dr. Eviatar (cool name!) gave us about 25 minutes to tackle the questions on our own.

Quite a handful of the class was missing today which meant they’ve yet to meet our substitute teacher, Dr. Eviatar, for the week to follow. There’ll be plenty of time to get yourselves familiar with her so from the whole class, we warmly welcome you in our classroom! :D

Back to the main topic of this scribe, after the 25 minutes of self-work, Dr. Eviatar allowed us to form groups consisting only of 4 people maximum. We put our brains together and figured out the right solutions for the questions on the pre-test. Working with a group helped me out a lot since I didn't really know what I had to do for the last question. (Thanks Ingrid! Hahaha.) Dr. Eviatar took in a copy of the pre-test from each of the groups and for the remainder of the class, went over the answers with the help of the smartboard. Here they are along with the questions:













I hope everyone can see the images clearly. If not, I shall go make changes... tomorrow. XD Good luck to everyone on the test and best wishes to Mr. K's wife's surgery! :)

The next scribe is... jeck!

Reflection on Circular Functions

Hey, it's your scribe for today! Except I'm just here to post up my reflection before the test tomorrow. Anyway, this unit was troubling in the very beginning but once I got the hang of it, it became tolerable. I'm not saying I'm a pro at circles though. :P

Among other things, the conversion from angles to radians was the part that frustrated me the most. Yeah, I know it's a pretty simple task and I've been practising it in time for the unit test. Grade 11 Pre-cal tipped me off quite a bit but after some review questions from the exercises, my memory is getting better.

Good luck to everyone on the test tomorrow! But luck's only a small part of it so remember to study, study, study!