SCRIBE POST: DAY 4

Hey guys, it's Linger here at your service =)

First, I'd like to start by greeting someone a Happy, Happy Birthday... HAPPY BIRTHDAY MARK!!!!! I know what you're thinking guys, why didn't he tell us? Anyway, we hope you have a good one XD

In today's class, we were given three questions on the board.

1. Find an equation on the line passing through the point A (4,-7) and perpendicular to the line through the points B (-1,-2) and C (5,8).

Explanation;

A.) When we're given two sets of points, we can find the slope of that line. The question states that point A is perpendicular to point B and C, therefore we need the negative reciprocal of that slope.

B.) In Grade 10, we learned three ways to write an equation. The General Form which is Ax+By+C=0, the Slope-intercept Form which is y=mx+b, and the Point-slope Form. Because we have a set of points A(4,-7) and a slope, that is the form we used to write the equation. REMEMBER; ALWAYS USE THE RIGHT TOOL FOR THE JOB. We could always stop here, at Y+7=-3/5(x-4) ....

C.) I went ahead and figured out what the equation was in Slope-intercept form. Please do correct me if I'm wrong ;)

2. An experiment yields this data:

a) Is the data linear or not? NO, IT ISN'T LINEAR
b)Find a linear model for this data. Estimate the pressure at t=8.5 *CALCULATOR
c)Find a better model for the data. Use your model to estimate the pressure at t=8.5 *CALCULATOR

Explanation;

a)So Mr. K asks, "is this the data linear or not, and how do you know?" Since we were given values, we could answer the question without having to use the calculator. If the data was linear, the differences between the OUTPUT, in this case pressure should be constant. We can see in the table that it varies, therefore the data is not linear.

b) To find a linear for this model, we use our calculator;

1. To clear all lists go to [2nd] [+]
2. Go to [STAT] [1] [ENTER]
3. Enter your data, keeping in mind which lists you put in your x and y values.
4. Then [2nd] [Y=] to turn the plot on, making sure you're using the right lists.
5. [ZOOM 9] will give you a view of the plots.
6. Hit [2nd] [QUIT] then go to [STAT] [right arrow] [4]
7. Then [L1] , [L2] , [VARS] [right arrow] [1] [Y1] or whichever one is empty on your Y= screen
8. Go to [WINDOW] to make the data fit better.
9. For example; Change the xmin to -1, xmax to 10, ymin to 2, ymax to 13.
10. Hit [GRAPH]
11. Press [TRACE], and [down arrow] so that you're on the line, not the plots.
12. Type in 8.5 and you should get y to be 9.4
    

c) Repeat STEPS 6 - 12 , but instead of pressing [4] in step 6, pick something different to look for the model that best fits the data. Mr. K. said that a Power Regression should get you a better fit.

Although we didn't get to go over question 3 in class, I will post up the data anyway...

3. Actual World Population Data:
Fill in the missing values;

Mr. K said that we'll go over this question tomorrow. We don't have homework today guys, yippee!!! But do KEEP IN MIND what we talked about in class. We will be having 2 projects for the year. One being an individual project with the story involving calculus problems that other members in the class have to solve... we need a Mascot name. Also, I have the link for last year's story project so have fun with it... http://calculandquest.blogspot.com/ The other project involves groupwork. We will be making videos about how to solve problems. KEEP IN MIND that there are 4 and only 4 people per group so choose wisely =)

I think I've covered pretty much most, if not everything that we talked about in class... so before I forget, DANNY you are the chosen one... haha.

In Mr. K's words, "That's it, that's all folks. Go out there and commit random acts of kindess" Hopefully you learned something from my post, and see you in class =)

have fun,

Linger