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Tuesday, May 02, 2006 

Scribe for May 2/06

So today we had a two math periods. The first period we went to the computer lab. The second period we were in the class room and took notes on vectors.

First thing we did was take a look at the graph on p.174 in our text books. This table has to do with residual values for cars. The table is pretty straight foreward. The percents are the percent of the origional price of the car.

After that we were given the accual values for the correct anwser for question #1 on p. 178. The anwser in the back of the book is wrong.
These are values you plug into your caluclator.

N: 36 ( the months leased)
I%: ? ( what were trying to find out)
PV: 24500 (the purchase price of the car)
PMT: -345 (monthly payments)
FV: -14500 ( purchase option)
P/Y: 12 (monthly payments per month)
C/Y: 12 (compounding periods per month)
PMT: end BEGIN

When anwsering a question like this on a test or exam you are supposed to copy the screen of your calculator like I did above.

And with all this in the calculator the interest should come to 4.1% ( I'm not sure about this anwser because I don't have my calculator) To find this out you highlight the I% coloum and then press Alapha Solve.

Mr. K also talked about why the Present Value and the Future Value have different signs. (-,+)
When dealing with a delcining investment the PV and FV have different signs. While increasing investments have the same signs for PV and FV. A example of a increasing investment would be like a RRSP. The only reason I can explain why this is is beacuse if you think about with a decreasing investment (eg. leasing or buying a car) you are giving away/losing your money. You don't really get it back. You never get it back in the form of money. Increasing investments are different. If you put money in a RRSP you get the money back sort of.

Well that was the first period of math. The second class we got our vector notes for our dictionary: ( sorry there are no pictures)

Vectors:

All About Angles:

(vertically) opposite angles: when 2 lines intersect the opposite angles are congurent.

Pararellel Lines and Congruent Angles:

Transversal: A line that intersects two or more parallel lines.

Interior Consecutive Angles:

The interior consecutive angles bound by a transversal and two parallel lines are supplementary ( sum to 180)

Alternative Angles:

The angle on alternate sides of a transversal are congruent.

Corresponding Angles:

Angles on corresponding sides of a transversal are congruent

A Quick Trigonometry Refresher

"SOH CAH TOA" used in right triangles

SOH: sin: opposite/adjecent

CAH: cos: adjecent/hypothenuse

TOA: tan:opposite/adjecent

Any other triangle can be solved using the SINE or COSINE LAWS.

The Sine Law

Can be used when at least one angle and opposite side pair is known as well as either one other side or angle.

SIN A/a = SIN B/ b = SIN C / c

or

a/SIN A = b/SIN B= c/SIN C

The Cosine Law

Used only under one of these two conditions:
i) SSS (3 given sides)
ii) SAS ( 2 sides and a Angle)

a^2= b^2 + c^2 - 2bc CosA
or
b^2= a^2 + c^2 - 2ac CosB
or
c^2= a^2 + b^2 - 2ab CosC

Vector

A quantity that has both a magnitude (size) and a direction. It can be represented by an arrow. The arrow indicates direction and it's length indictates magnitude.

The 5 (3?) Ways to Indicate a Vector's Direction

1) bearing:
-0 degrees due north
-angles measured clockwise from 0
-Always written as a 3 digit number. include a leading zero if necessary
-may or may not be written in square brackets

2) using degrees and compass directions ( the next to things will make little sence. If you don't understand just look at someones dictionary that was there in class)

EX:
60 degrees North of East is indentical to 30 degrees East of North

20 degrees South of West is indentical to 70 degrees West of south


3) using compass dirrections and degree

EX

N 50 degrees W is indentical to W 40 degrees N

E 15 degrees S is identical to S 75 degrees E


Well thats all the notes we got. ( sorry about the whole no pics thing) The test for vectors will be on friday I belive. You should double check that because I'm not to sure. There are review questions on p. 341 question 1-9. Don't forget to do your blogging on blogging.

And the Scribe for tommoro is NIK




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This is a really good scribe post Jason!

Good detail and your use of bold words and phrases helps to organize the information and emphasize the important terms.

A few graphics would have put this post over the top; might even have propelled it into The Scribe Post Hall Of Fame.

(You can still go back and edit it y'know. ;-))

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