Wiki

Hey Mr. Max!
I forgot my old login name, so I made a new one.. I forgot though that you had to approve me so I could post, so I wasnt able to post it on the wiki. I have my entry, hopefully it's not too late. I was going to try and find you at Swan -- poluz -- a? .. whatever, but I didn't see you. Anyways, here it is:

PROBABILITY - Use Pascal’s Triangle to find..

Use Pascal’s Triangle to find the number of ways to choose 3 shirts from 7 shirts.

This can be solved in two different ways:

First, Pascal. Since you have 7 shirts, go down to the 7^th row. And because you have 3 shirts to choose from, go over three. You should get an answer of 35.

You can also solve this on your calculator.

For this question we must use n Cr on your Ti-83 Calculator. So, punch in a number seven (the number of shirts) and than press MATH than go over to PRB than use 3: nCr, press enter and than press the number three (3 shirts). Press enter and you should get 35.

7 nCr 3 = 35 ways to choose three shirts from seven.

Credit for image: http://mathforum.org/workshops/usi/pascal/patterns_pascal.html

Have a great summer Mr. Max!! =)

June 12th- Exam Review

We started the class by deciding that we were going to review sequences and series, and design and measurement , which are both on the exam for tomorrow.

For sequences and series 4 possible questions that may come up are on populations, fractals, drugs, and random questions.. Sequences/Series is worth approximately 10 marks, and there is only 1 question with multiple parts. To do these questions Mr.Max recommends using Excel (his favorite) , Sequence mode on TI-83, Arithmetic on the homescreen of the TI-83, and Shodor.

This is the example question for Sequences/Series January 06 exam. We did part A using the homescreen method. Remember 1 dose equals 2 pills. He used excel too but he didn't save the screen shots.

For part B of the question Mr.Max used Shodor, as u can clearly see in the picture posted below the mg's of medication in Jasmine's body evens out at 800 mg.

He used excel to figure out part C, the medication stablizes at 800 mg, and he also used excel for Part D, to figure out how long the medication stays in her system after she takes the last dose.
For Part E he also used Excel, it was an open response question to figure out how to make the medication stabalize between 1000 and 1200 mg's, Mr.Max simply changed the dosage of 2 pills every 12 hours to 3 pills every 12 hours, and it stabalized at 1200 mg's.

And then we started design and measurement, which is approximately 10 marks and also just 1 question with many parts. REMEMBER do not mix up 2d and 3d objects...

It is a good idea to do 15 minutes of yoga a day, it will get you relaxed and ready for just about everything. And remember Mr.Max is having a study session tonight at 7 PM, if you want to go be there at 7 or else Mr.Max will go home. Dont forget to eat a good breakfast tmoorrow morning, and bring all of your supplies to the exam, and there is class tomorrow afternoon so show up! And GOOD LUCK ON YOUR EXAM TOMORROW!!

100 Posts!! =D! ..and Probability =(

Yay, 100 posts!
Good job to everyone who contributed. That's a lot of hard work, I think we all deserve cake!

Today in mathematics we reviewed probability. Mr. Max gave us an outline on what to expect for Wednesday & Thursday:

DAY ONE
Inquiry Task Sequences/Design & Measurement
Worth approximately 18-20 marks

DAY TWO
Written Test - 6 Units
Worth approximately 50-65 marks

* Keep in mind that Permutations and Combinations wont be labelled. You should have the ability to know when to use each.

Mr. Max recommended we add the following to our formula sheet:
P(a or b) = P(a)+P(b)
P(A or b) = P(a)+P(b)-P(a and b)

I searched the old Provincial Exams and found all the probability questions I could. Make sure to try them! =)

#1..

#2..

#3..

#4..

#5..

#6..

#7..

#8..

#9..

#9b..

Second Day of Review!!

To begin class, we were handed a Inquiry Task Booklet for January up to January 2005, that all included the past Inquires that we can use for studing. We were informed that for our Accerelated Math, we are going to be assigned up to 32 Objectives, that will be due sometime around the 20th of June, so make sure don't forget about them.

Objectives of the Class:
Exam Review for: Vectors

Personal Finance

Advice: To get started on studying, I suggest organizing all you math notes, questions, booklets into sections. Sections on well of what you learned like a section on vectors, personal finance, matrices..etc. It's better than studing everything at once this way you study a unit at a time so you don't get it mixed up with another unit.

Math Exam Review

Here is what we discussed in class for the matricies section on the exam...

MATH EXAM

Hello,

Well the time is near only 8 days till the Math Exam, have you started studying? Now is probably a good time to start. Mr. Max said last week that he will make himself available for us to discuss the exam on both Tuesday and Wednesday night, so if we have any questions about anything or we need some last minute help he will be at the school. I have supplied a schedule of the Exam so everyone can prepare accordingly. ** Remember, we are allowed formula sheets for the exam, so make sure to prepare ahead of time.**

GOOD LUCK EVERYONE

DAY ONE - Wednesday June 14, 2007

START: 9:00am - 11:00am

Inquiry Task

1. Sequences and Series

2. Design and Measurement

This section is worth approx. 25% of the total Exam

DAY TWO - Thursday June 15, 2007

START: 9:00am - 11:30am

Written Test (approx. 25 questions)

1. Matrix Modeling

2. Vectors

3. Statistics

4. Application of Periodic Functions

5. Probability

6. Personal Finance

This section is worth approx. 75% of the total Exam

***The Exam is worth 30% of your Math grade***

Test Review- Stats & Applications of Periodic Functions

For the duration of the class Mr. Max lead us through a review for the test. Sadly he overcame some technical difficulties and now his pen wouldn't work properly. Might help to explain why our notes aren't quite "the same" as they usually are.

For question #1 Mr. Max assumed that we all understand how to calculate the mean and standard deviation but for those who did the question the answer was as follows:

Mean = 33.75

Standard Deviation = 7.71
Keep in mind that questions such as "is this normal" are very likely to see on the provincial exam. Although numbers may follow closely to the rule (68-95-99.7) you must argue/discuss your opinion in regards to whether you think it is normal; being that the numbers are close or not close enough.

Well there is the review, hopefully it helped to refresh your memory a bit. Good Luck :)

Questions Questions Questions

Today Mr. Max thought that going over the 3 questions we had for homework to their full extent today would be a good use of class time, and it was. So this is how to do them...

3) The paddle wheel of an old paddle wheel boat is 10m in diameter. It turns on an axis that is 1m aboth the water and spins slowly at a rate of one revolution per 6 min. The trailing edge of the paddle wheel picks up a lily pad. This lily pad travels around and around with the wheel, at times in the air and at times under water. The height of the lily pad with respect to the surface of the water varies sinusoidally with time. Sketch the graph of this sinusoidal function for one revolution starting with the lily pad at the top of the wheel. Label and number the axis appropriately. Indicate the upper and lower bounds.

a) Detemine the equation for this sinusoidal function, expressing the height of the lily pad (h) as a function of time.

b) What is the postion of the lily pad with respect to the water at a time of 14 min.

First he drew a diagram and a graph of what it was supposed to look like to give us a better idea of what was happening

He then showed us how to find what a, b, c, and d was for the sinusoidal equation

y=asin(bx+c)+d

The final answer was the equation y=((pi/3)x+(pi/2))+1

If you type that into either your calculator or graphmatica your graph should look somewhat like the one sketched by Mr. Max up above.

To answer question b) you just have to trace to 14 and you should get your answer of -1.5m (under water)

For 10) you just type in the numbers on the chart given into your calculator and do

SinReg L1, L2, Y1 and then go to your graph and there should be one tracing out the temperatures. To be able to find the max temperature on your calculator you go 2nd, Trace, Maximum and find out the highest poing in the graph.

For 16) we had a big talk about the vertical and horizontal movemenit of the graph. For this equation for this question the C is 0 because you didny need to move it horizontally anymore, and the D is 21 because the graph needed to be shifted downward.

Our test is coming up quickly this Tuesday so study hard everyone!

I came across something interesting that I think you guys will find interesting

Hello Flexible T.V. Click Here to see a video clip.

Work Period

These are things you shoud probably work on today

1.) Stats portion of our formula sheet for tuesdays test.

2.) Applications of periodic functions portion of tuesdays test.

3.) These questions from the handout for tomorrow : 3, 10, 16.

4.) Accelerated math (Stats and periodic function objectives).

Exam information

Exam is Wednesday June 13 at 9:00 AM to 11:00 AM and Thursday June 14 at 9:00 AM to 11:30 AM. The first day of the exam will be two questions, worth 25% of the exam mark and the second day is the written part of the exam worth roughly 75% of your exam mark.

Hopewell Rocks

Yesterday, Mr.Max left class for a little while, so we had time to do our homework. Upon his return, we started to correct our homework; which is displayed below.

The first question asks: "what is the period of this ferris wheel?"

Using the formula period = 2╥/b, in this case it is:

Period = 2╥/0.523

if you put this into your calculator, then you will get 12.01. Do not round it off to 12, because Senior 4 Applied has to be accurate to 2 decimal places.

The second question asks: "What does that mean (in this question)"

This simply means that Michelle's ferris wheel makes one complete revolution (rotation, spin, turn, go around) in 12.01 minutes.

The third question asks: "After 4 minutes, how high is a person on the wheel? (State ANY assumptions"

There are many different answers you could have for this question, but you will only get marks if you show what you were thinking, or any assumptions you make that would change the answer

Some people may assume that you get on the ferris wheel at its lowest point, some may assume that you get on the ferris wheel when the graph line crosses the y-axis, along with many other assumptions.

The mathematically correct answer is 4.94, but if you assume otherwise, then the answer will change correspondingly.

And finally the last question states, "make the ferris wheel more fun (faster)" This can be done by changing x, Mr.Max will not accept an answer like:

y=22sin(100000000000x-3.14)+24

This is unrealistic because if you were going that fast you would be thrown of from the insane amount G-force

You could make it something like:

y=22sin(10x-3.14)+24

We then started Sinusoidal Regression

We went to this web site here, and found a prediction for the Hopewell Rocks

You can load this data into your calculator,

STAT, enter,


Then hit STAT, over to CALC, up one to SinReg, enter, L1, L2, (unless you put them in different columns) Y1,


(Y1 is found by hitting VARS, over to Y-VARS, enter, enter)


it then displays a,b,c, and d


Then we looked up Hopewell Rocks on Google Earth, and that was the end of math that day because we just kept looking up different places like, Mr.Max's brother's house in Calgary, a picnic table, that Mr.Max had supper on. Also looking at people that were walking on the sidewalk, or driving there cars.


I thought it was quite incredible how humans have made such remarkable technology, so sufisticaed, that you can see people walking from space. I think it would be cool if it were live video... but you would need a pretty crazy computer probably.



Also, this is completely random, but a boy shot a boar, (a male wild pig) with a pistol a little while ago in Alabama, it was over 1,000 pounds, and 9 feet 4 inches long!! Click here to see a web site about it.




Well, thats it, have a nice day!

ABCD Values

Today we started off with a homework check...and thats right, you guessed it....only 2 people actually did their homework. Mr. Max was so proud. He was actually quite disappointed since the 2 people who did their homework said it only took them like 5 minutes. That was the 2nd "homework speech" Mr. Max has had to give our class in only about a week's time. Do we want to graduate? I think we all want to, no question about it. So I guess a little extra effort is in order.

Mr. Max said the only equation we need to know is y=a*sin(bx+c)+d. So he started to teach us what a,b,c, and d mean. He referenced what we learned last week, about what happens when the values of a,b,c, and d change. Then he went right into teaching us about "a".

Many people were confused with the whole "a" is amplitude but "a" is not equal to amplitude. So Mr. Max changed the notes to say that "a" is closely related to amplitude and the absolute value of "a" is equal to amplitude. Hope that makes more sense.

Mr. Max moved on to the "b" value. This time Mr. Max made the notes clear and stated that the "b" value relates very closely with period. Although period does not equal the "b" value.

Next, came the "c" value. This relates very closely with horizontal shift or phase shift.

Last,but not least, is the "d" value. This is the vertical shift. It is always positive.

And then, once again Mr. Max assigned homework. Mostly only because he was extremely (I was going to put that into capital letters, but I didn't know if it would be appropriate to shout..) unhappy with us. This is the question Mr. Max came up with :