Probability

Today we learned Independent v.s Dependant events and Mutually Exclusive v.s Mutually Inclusive Events. This is review for me since I have already done this on Accelerated Math. This might not be as easy for some because common sense is becoming less common.

Sample Space

Yesterday we reviewed sample space. I mean review in that it was nothing new for me, so the recording not recording is not a big deal.

Conics-Parabolas

Today we did our parabola section in conics. This is pretty easy seeing as it is review, and as far as sideways parabolas, they're not much harder considering that the same rules apply.

Graphing Hyperbolas

Today we learned how to graph hyperbolas using standard form as well as how to find the asymptotes of an equation. This is similar to yesterday, except sketching these equations onto a graph.

More and More Conics

Today we learned how to graph Ellipses and Hyperbolas. It is rather easy considering we just have to follow a few simple guideines.

Even More Conics

Today we learned how to do the exact opposite of what we learned on Friday. THis is converting to standard form from generalized form which is even easier than the opposite. We were also asked to look up the terms major and minor axis, and vertex.

Work Period

Since Mr. Max's Sympodium(tm) isn't working, we get a work period. Also, helping Grade 11 applied students was fun so if i'm still in school next year, I might tutor a Grade 12 PreCalc class.

More Conics

Today we learned more about conics which included coverting general form conics into standard form conics. It's pretty easy.

Conics

Today we started our unit on conics. There are four types of conics: circle, ellipse, hyperbola, parabola. Identifying conics by graphs ad equations is pretty easy as well as finding out the values for: A,C,D,E,F, but not B yet.

Pascal's Triangle

Also with binomial theorem, we learned the basics of Pascal's triangle. This is how we get the formula for binomial theorem. I think it is pretty neat.

Binomial Theorem (Both Days)

Today and yesterday we learned Binomial Theorem. This stuff is one of the easier units in the class as far as I'm concerned. I think that is pretty neat for solving binomial equations with large exponent values.

More Perms and Coms

Today we did circular perms and coms aswell as ordering of identical perms and coms. This stuff is pretty straightforward and I have very little difficulty with it

Perms and Coms (For Real)

Today we actually got into perms and cons. This is pretty easy stuff as long as you follow the principle that order in perms matters whereas order in cons doesn't.

Perms and Coms

Today we did some stuff on probability which includes finding values with certain restrictions. Also we got a lesson on Fundamental Counting Principle from Bobby Bear. We just have to remember to dress him. It was fun.

Logarithmic Word Problems

Today we did logarithmic word problems using formulas such as exponential growth with populations, continuous exponential growth with money, and radioactive decay This is pretty strait forward and mostly review from last year.

Natural logarithms

Today we did more on natural logarithms. We did expanding and solving for x. This is very easy seeing that natural logarithm laws are the same as normal logaritm laws. As far as the Pink Freud t-shirt..... it's about Pink Floyd, but i don't really get it.

Natural logarithms

We learned that ln is pronounced "el-en" and not "lawn".
Also we learned that the value is about 2.714.......... or so.
Natural logarithms are the same as exponents.
I also learned a very important thing about graphing absolute values; You have to move it before you bounce it.

Change of Base Theorum

We found a way to solve variables in exponents, "Yay"! This is done by using logs. It makes very good sense to me. I think today's class was pretty fun with clip art and all; Just find a warning sign maybe.

Logarithmic Laws

Today we did logarithmic laws. Also we had a fire drill which took a bit out of class. On logarithmic laws, the material is pretty straightforward actually. There is not too much that is confusing me.

Logarithmic Functions

Yesterday we started our lesson on logarithmic functions. To me, logarithmics are exponents, the inverse of exponents. This is making pretty good sense.

Work Period

Since it is early dismissal today, no new material is being taught. However, I missed yesterday so I need to learn exponential functions. I reviewed it and got the concept from my brother so it shouldn't take long to understand.

Work Period + More trig identities.

Today we did some more trig identitieswhich helped me out a lot. Also we were given more time for accelerated math and our practice test which was nice.

Work Period

Yesterday we were given an opportunity to catch up on our assignments and accelerated math.

Double angle Identities

Today we did double angle identities in class. This is a lot of new stuff at once and it'll probably take me a while to get the hang of it.

Sum and Difference of Identities

Today we did some adding and subtracting of identities. This includes a few new formulas and finding exact values of /12's and so on. This stuff seems ok. Trig is awsome!

Trig Identities

Today we did some more trig identities as well as a way to check our solutions. This is hard stuff but thus far I haven't ran into any roadblocks.

Trig Identities

Today we're doing trig. identities. This involves taking the six trig. ratios and plugging them into equations. There are numerous (8) ways to solve these idetities. I find the easiest way is to try to structure the entire question into terms of Sine and Cosine and so far I am finding it easy.

Soccer Provincials

Over the weekend we competed in soccer provincials, hosted in Steinbach.
Here are the results:
A side:
SV 1 Dufferin Christian 5
B side:
SV 3 Flin Flon 2
SV 1 Niverville 0
SV 0 Dufferin Christian 1 (Final)

Prep Day

Today we had a day to prepare for tomorrow's test.

Homework Check

Today we had a homework check for Exercises 1-11.

Translations

Today we did some more on graphing trig. functions. This involves graphing absolute values, reciprocals, and inverse functions. We also did piece-wise functions. I'm o.k with this new material and will probably get better with a few more problems.

Soccer Zones

Yesterday we competed in our soccer zone that determined who moves on to Provincials. Here is the results:
Alonsa 0 Dauphin 4
SV 9 Winipegosis 0
Final- SV 1 Dauphin 0

Horizontal/Vertical Stretches and Compressions

Today we learned about horizontal and vertical compressions/stretches. This stuff makes sense to me.

Soccer Tournament

Here are the results of our third tournament:
SV 0 Minnedosa 1
SV 0 Steinbach 5
SV 3 Gimli 3

If your keeping track our team record is: 4W, 6L

Test Review

Today is our last class before our first test, which gave us time to review everything up to this class. We tied up all loose ends and given expectations for the test.

Substitute Teacher

Today we have a substitute teacher which means it was a day of catching up and reflection, with no new material taught. This was good because I was able to complete my mental math and clear up some problems.

Soccer Tournament

Last Saturday we had a soccer tournament, here are the scores:
Tigers 3 Trojans (Thompson) 2 (won n pk's)
Tigers4 Winnipegosis 0
Tigers1 Flin Flon 2

Graphing Trig. Functions.

Today in class we learned how to graph trigonometric (circular) fuctions. This involves properties of the Unit Circle and using the six trig. ratios. This can be done by using programs such as Graphmatica or by putting in trig. values for points aong the Unit Circle.
I am making pretty good sense of most of the material; Some of it I need a little more help on though.

Solving Using Real Numbers

In addition to solving trig. questions over a set domain, we're solving questions using real numbers. This means solving for ALL values. This material makes sense to me. We were also given a practice test today for reference.

Trigonometric Equations

Today we did some trig problems that had more that one degree measure using the Unit Circle, Graphmatica and our calculators.
It helped me a lot.

Free Day

On tuesday we had a 'free' class meaning we learned no new material that day. This was nice because it gave me some time to do some reflecting and catching up

Solving Trig Equations on a Set Interval

We did some practice questions using trig ratios such as cos6x-3=0
As of thus far it is making sense.

Soccer Tournament

I was away from class today on account of a Soccer tournament. Now I am currently working on my questions on assignment 3; Most of it is making sense but there are still some things i'm unsure of.

Trig Ratios

Today we signed out a resource textbook full of practice questions including subjucts such as Trigonometry and Transformations; it should be a good resource.



In class, we're doing problems using all 6 trig. ratios; It's making sense.
Learning relation between trig ratios and degrees/radians and why they are what they are.
I learned a lot today!

Arc Length

Example of arc length

Find the arc length of a bicycle wheel given a radius of
24 inches and a central angle of 48 degrees.

arc length= central angle x radius
arc length= (48 degrees x pi/180 degrees) x 24 inches
arc length=(4pi/15) x 24 inches
arc length= 6.4 inches or 32pi/5

Unit Circle

Measurment of angles and degrees with radians using unit circles

6 trig ratios: sin: y/1 cos: x/1 tan: y/x csc: 1/y sec: 1/x cot: x/y
These ratios can be used with the unit circle to find any degree or radian

Circuar Functions

Initials side: starting point Terminal side: ending point
CCW motion on coordinate plane=positive CW motion= negative
complimentary= pi/2 rads supplimentary= pi/rads

Formula for arc length: central angle= arc length/radius arc length= radius x central angle
ex: A wheel has a .5m radius and rolls 1.5m, how many radians has it turned?

Unit circle: x sq + y sq=1
45,45,90 triangle legs (x+y)=root2/2
30,60,90 triangle legs (x+y)= 1, root3/2

Goals

My Goals for the Grade 12 School Year:

-Win Envirothon Provincials. Get top five in at the Canon Envirothon, hosted in California.

-Win Soccer zones. Win soccer provincials.

-Graduate with distinction

-Pay my way through colledge/university with grants and bursaries.

Trigonometry

Measurment of <'s old way: degrees new way: radians

radians=180/pi pi=180 deg. pi=3.14 approx. 180 deg=3.14 radians

conversion of degrees to radians: x degrees/pi
example: 200 degrees=? radians 200/180 = 10pi/9 radians

conversion of radians to degrees: a/y radians x 180 degrees
example: 1/2 radians=? degrees 1/2 x 180= 90 degrees