Sinusoidal Functions Review

There are a number of ways to approach the sinusoidal/periodic function. We were taught to use either GRAPHMATICA or a graphing calculator.


The periodic function equation is y=Asin(Bx+C)+D and that is what you will input into the software of your choice.

A=Amplitude
B=Period (formula for period P=2(pi)/B)
C=Phase shift
D=Verticle shift

Here is a site that demonstrates those values (very usefefull to play around with it)
-http://www.ronblond.com/M12/sc.APPLET/index.html

If you are given the sinusoidal function(periodic function) and want to graph it using a calculator
1. press[mode] and make sure that it is on radian NOT degrees
2. press [y=] and input the formula Asin(Bx+C)+D (substitue numbers)
3. press [graph] and behold the squiggly lines
-you may want to adjust the windows setting to get a better picture

If the information is given in tabular data then you will have to use something called SinReg
1. press [stat] and put the data into a list
2. press [stat]-> calc then go down to something called SinReg
3. back at the home screen put in SinReg,L1,L2,Y1
4. turn on the stat plot ([2nd y=]) and press graph


And that my friends is periodic functions in a nut shell.

Exam review

Hey everybody no one posted this exam review from last week so I thought I'd put it up.
(plus I need to get some posts in, get that blogging mark up).












Good luck tomorrow...

Friday June 5th, 2009

Today we reviewed for our exam that is schedualed for Monday June 8th, 2009 and tuesday June 9th, 2009. On Monday June 8th, our exam consists of two units, Periodic Functions and Design and Measurment. On the second day of our exam, our exam consists if the remaining six units which include; Matix Modelling, Vectors, Statistics, Personal Finance, Sequences, and Probability. Today in class we reviewed the units, Periodic Functions, and Statistics. Here are the slides that were covered in these units:

Tuesday, June 2/09

Hello everyone. Just to remind you, even though it is not needed, there are 7 days exactly until our exam. I hope you are all ready for it.

Today Mr.Maks recorded the lesson about what we will see on the first day of our exam, explaining "Applications of Periodic Functions".



He gave two approaches, or the two types of questions we will have on the first day. The first being given information to use, and the second will give you information that you will have to use the regression function or the "SinReg" function.



The first question referred to in the video is question 6 of the "Sinusoidal Data Exam Questions" booklet. It asks you to create a graph showing the depth of a tide over a time of 24 hours, as part "a". Part "b" asks for the period of the function, and it asks for what the period represents. Part "c", and the last part of this question asks for a time table showing when she has safe passage through the channel, knowing that her boat needs 1.3 meters of water to float.
Mr.Maks explains how to answer the question, and it's 3 parts in the video.



The second question he explains is question 11, which is about two Ferris wheels. It has three parts "a,b, and c"
Part "a" wants the max height of the first Ferris wheel. "b" wants to know how long it takes for the second Ferris wheel to complete one revolution. Part "c" says each ride costs $3.00, and both last about 5 minutes. Telling you this the question asks which ride you'd rather take, and why.



Mr.Maks didn't fully answer this question, that's is for tomorrow, maybe.



For the second approach for the first day of the exam, the first question he used for an example is question 17, which talks about a paddle-wheel. The question has three parts t it that asks:
"A" wants a graph to show the information.


"B" tells you to determine the equation for the sinusoidal curve.
And "c" asks for the length of time that the reflector is under the water, and it asks how you came to that answer.
(see video or look at the booklet to get the full question)



For the video, click here.

Monday, June 1, 2009

Today we talked about the exam and then we opened the June 06 exam and we looked at a question on page 14. We learned about net worth and he showed us a template previously made on excel that helps calculate the net worth of a person. Then mr. maks taught us about the 3 different types of assets. The three types are: Liquid, semi-liquid, and non-liquid. After we figured out Carmen's net worth we figured out her debt equity ratio. Apparently some people don't believe in the moon landing. Thats weird.

Study Schedule

Our blog projects are due TODAY!

We will get assignment marks for:

We are Encouraged to study for the Exam...By making a study schedule, and handing it in on Monday (this can also be a list).
There are 2 parts

1. An actual schedule that has dates and times (max 2h)

2. Block the content, what this means is are you going to organize your schedule by content, skill, study technique...IE: don't study stuff you know.
"Jump both feet right into the material you don't understand"

EX:"By this date i plan to have finished studying and understanding this unit

Exelerated Math is due by the 22nd.
.
We can also get old exams to practice on, just go ask Mr.Max for one!

Today, is May twenty eighth two thousand and nine. We are currently in block five, grade twelve applied math. Unfortunately, I need to leave at ten to three, and if anybody would like to add to my post feel free.. for I am sure to miss out on the wonderful mathematics that Mr Ryan Maksymchuk has taken the time to teach us. So sorry for the inconvienence.


I believe we are working on periodic functions.





We have been given a sample exam, with questions that similar to the ones we will see in a couple weeks.


Take the time to try some of these questions, it'll help prepare you.





on the video at the six minute mark... calculator instructions come out. so watch the video!


- 15 minute mark talks about how to take the dots from scatter plot data and change it into a function.SinReg, L1, L2, Y-1 (**how to get Y-1 Vars, Y-vars, wanting Y-1)


32 minute mark- tells you about how to graph it on Graphmatica

Test Day

Yesterday we jumped right into the test that everyone was dreading to write. Hopefully every one passed with flying colours.

Intro: Applications of Periodic Functions

Pre-Exam Tutoring - He will make available as much time as possible to help us after school and in the evenings. If we are going to come we should tell Max that we are coming so that we don't waste each others time.

We just got a copy of Jan 09 exam to study from. For exam we can use java applets, cheat sheet (formula sheet), excel, etc.

For periodic functions we can use either our calculator or Graphmatica. There is a video, so I won't go into detail this time. I may make little notes for you though.

* Listen at the 30min mark, eh.

CLICK HERE TO WATCH THE INTRO. VIDEO

CLICK HERE FOR THE NOTES

Test Review- Probability

So.. there's a test tomorrow.

Here's the review! (all from page D-10, questions 1-5)

Independent and Dependent Events

Today we jumped right into learning about independent and dependent events. Independent events would be for example flipping a coin because the flips do not have an effect on eachother. Dependent events would be for example a new thing depending on an old thing. We played a game involving probability. And if we won we got a Fararri, We won... but I still dont see a Fararri...

Excersise 5 is due

Thursday May 21

Today the class started with a strange noise coming from the opposite side of the class (probably nemez). We are getting homework checked on exercise 4 - 3, 4, 5, 6.

*There is a probability test on Tuesday May 26.

Mutually exclusive and mutually inclusive

Today (or yesterday now...) we learned about Mutually exclusive and Mutually inclusive events. A mutually exclusive event is two things that CANNOT happen at the same time (eg. I'm board and I'm having fun). A mutually inclusive event are things that can happen at the same time (eg. Drawing a 5 from a deck or drawing red card)

HOMEWORK!!! (which you should be done)
Ex. 4 Q. 3-6

Hey... Today is Tuesday the 19, in math today Mr. Max gave our tests back first thing, at the begining of the block. After that he showed us what sample space was. Do you know what it is?? If not I have posted some slides to go along with it... I'm sure you'll catch on quite fast it doesn't look that bad. He helped us with the first 2 question in our booklet and the 2 were for homework. D-7 questions 3 and 4.

Just a comment...

This is a personal opinion that I would like to share..

I think Shakespeare is important to teach in high school. When you compare this type of literature to an ordinary novel or even a children's book it may seem difficult to understand and frustrating to pronounce.. But Shakespeare is full of symbolism, irony, and vibrant productions of visionary scenes. This type of literature helps the reader to think differently about characters, and struggle to think about what the author is really trying to say, what he means behind his words, and why he is writing or presenting the conflicts, relationships, and tragedies. It can help pull you away from everyday books and bring you into a deeper understanding of history, you learn more about the era, the unique language, and the the way the people reacted to their surroundings. It can help you learn more about yourself, your life, and your choices.

Shakespeare can only be a positive influence if you actually give it a chance; you need to read, (not just go through the action of reading) you need to look for hidden meaning, you need to stop and see what's going on, in the setting, in the atmosphere, in the character.. everything is important in a Shakespeare novel and if you don't stop to think about everything as a whole, (not just as some dumb, pointless book) then you can actually come away from the literature with a sense of meaning.

Yes.. the words are hard to understand and yes, you are not used to the grammar or the pronunciation, but it does have meaning and it IS important to the high school English curriculum. In a sense, it's problem solving. You're only using words instead of numbers. It all lays in the way you perceive the article of work, But then again, this is my opinion, and I am personally greatful that the cirriculum had shown me the world of shakespeare.

May 14th 2009

Today in class the first thing we did was a homework check for pathways. We also corrected the 4 questions. Then we went over some of the questions on exercise 2:counting principles and got the rest of the questions assigned. If you do question 5 you get some kind of bonus.

May/13/09

Today in class we learned something totally new, which was pascal's triangle.
In this method you find out how many ways to get from one place to the other.

After that we went and checked out the supper sweet plinco simulation.

Then we got a assignment which was all of exercise one.