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