Friday, June 29, 2007
So Long ...
And so we begin where we left off ... don't let the sky be your limit. ;-)
I'm so glad we've had this time together,
Just to have a laugh or learn some math,
Seems we've just got started and before you know it,
Comes the time we have to say, "So Long!"
So long everybody! Watch this space for pointers to new blogs for each of my classes.
Farewell, Auf Wiedersehen, Adieu, and all those good bye things. ;-)
Tuesday, June 19, 2007
My very best wishes!
Tuesday, June 12, 2007
Today's Slides: June 12
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Monday, June 11, 2007
Today's Slides: June 11
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Sunday, June 10, 2007
BOB
For some reason I understood sequences at the beginning of the unit when we started talking about it lots, but once we got past the the find the nth term I started to get confused. Once that happened I started to question my abilities in the unit I understood it but didn't at the same time I didn't. Maybe because its the end of the year and eberythings getting"CRAZY", with all the different assignments and stress about the provincials. Well we'll see what happens On the provincial I really want to do well.
-Britt <3
Exam time!
I was mindful to get some sleep just prior to the exam and hoping that you will too for this reason:
The bottom line: Teens need 9.25 hours of sleep per night
In experiments done at Harvard Medical School and Trent University in Canada, students go through a battery of tests and then sleep various lengths of time to determine how sleep affects learning. What these tests show is that the brain consolidates and practices what is learned during the day after the students (or adults, for that matter) go to sleep. Parents always intuitively knew that sleep helped learning, but few knew that learning actually continues to take place while a person is asleep. That means sleep after a lesson is learned is as important as getting a good night's rest before a test or exam.
At the risk of sounding "mom-ish", have you taken this into consideration in your preparation to be your very best for your test??
On my test day, I was just about to leave for the testing center when I asked my husband to wish me luck. "No," he said, "I won't do that." I was crestfallen. I felt like I needed one last boost before the "big" one.
Then he continued, "You don't need luck. You're smart. You're prepared. You're good. I believe in you. Go out there and just do it!!!! I'll be here when you get back."
It's time for me to pass that forward to you! You don't need luck. You're smart. You're good. You're well prepared (thanks to your hard work and Mr. K). I believe in you. Go out there and just do it!!!!
Friday, June 8, 2007
Today's Slides: June 8
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Thursday, June 7, 2007
B o B
I hope our tests are short and not confusing. Good Luck on the test and the upcoming provincial and final exam...~(_8^(])
BOB
BOB
BOB
BOB
BOB
Wednesday, June 6, 2007
BOB
BOB
Design and measurement. Well that was a bit more difficult then i thought. I mean it wasn't hard if you figured out what was going on, it was just figuring out what was going on.
Sequences was fun. I hope i do well on this one. I had fun with this one, it was one of the few units that I could shout out answers and be 100% sure I was saying the right thing. I liked this unit.
Good luck on the TESTS tomarrow....... T_T TESTS!
Scribe
BoB; Ivy
Sequences...I actually like this unit....and I just figured out missing all of this last year was absolutely screwed me up....or let me re-phrase that missing out all of the units in applied math screwed me up....well well...hopefully I can pass both of this unit..because I DON"T LIKE GOING BACK TO HIGH SCHOOL. hehee....anywasysss goodluckkk everyyyyboooody.
Monday, June 4, 2007
Today's Slides: June 4
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Sunday, June 3, 2007
Thursday, May 31, 2007
Today's Slides: June 1
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Today's Slides: May 31
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
SequEnceS
There are 2 different ways to find the answers for these questions.
For the first question, you add 3 to 5 to get 8, and then add 3 to 8 to get 11, and so on till you get the 110th term, but no one wants to do that. Here's the easier way...
On your calculator, press the "y=" button, (Make sure that your calculator is on "Seq" mode or "Sequence Mode".)
Your screen should look like this...Then enter...Then hit 2nd, Mode to exit to your main screen. Then enter u(110) (to enter u, press 2nd, 7 ) Press enter to get the 110th term which is 332.
For Question 2 you multiply every number by 2 to get the next number, continue till you get the 21st term. To use your calculator, go back to your "y=" screen. Clear everything up except the nMin=1.
Then enter...
Now, go back to your main screen and enter u(21), then hit enter to get the 21st term which is 3145728.
For the 3rd question, add the 1st and 2nd number to get the 3rd number, then add the 2nd and 3rd number to get the 4th number, and so on. This sequence is called the "Fibonacci sequence" where each number is the sum of the two preceding numbers.
To use your calculator, go to your "y=" screen. Clear everything up except the nMin=1.
Then enter...Go back to your main screen and enter u(27), then hit enter to get the 27th term which is 196418.
Then we moved on to another question...On this question we are now looking for the "term".
To answer this question without your calculator, Multiply each number by 2, then add 1 to the product. Do this until you end up with an answer of 1535.
But to use your calculator, go to your "y=" screen.
Then enter...
Then hit 2nd, Graph to get to the table. Scroll down till you end up with 1535.
So the term of 1535 in the sequence is 10.
This is the end of my scribe post... The next scribe is Kristel. ~(_8^(])
Yesterday's Slides: May 30
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Wednesday, May 30, 2007
Sequences
BOB
BoB, Ivy
BOB
Tuesday, May 29, 2007
Periodic Functions
A tsunami(commonly called a "tidal wave" because its effect is rapid change in tide) is a fast-moving ocean wave caused by an underwater earthquake. The water first goes down form its normal level, then rises an equal distance above its normal level, and finally return ti its normal level. The period is about 15 minutes. Suppose that a tsunami with an amplitude of 10 metres approaches the pier at Honolulu, where the normal depth of the water is 9 metres.
For this problem we first need to construct a graph and fill in "DABC".
This is how we start our graph. It stated that the normal depth of the water if 9 metres therefore it is the average value of function(sinusoidal axis). It is where our graph will start. We then add 10 metres to the sinusoidal axis since the amplitude is 10. It tell us how far to go from the sinusoidal axis. This will give us the maximum(19 metres). We then find the minimum by subtracting 10 from 9(-1).
We can now construct the graph.
The graph first goes down since it is stated in the information that the water first goes down from its normal depth. This wave has an amplitude of 10(as stated earlier) therefore the wave goes down its minimum depth which is -1. It also says that it then goes back to its normal depth at the same equal time. Therefore we divide the whole period(which is 15 ) into 4 parts because it first goes down then up, then up again and finally down.
We can now find "DABC"
A= -10 ( amplitude. it is negative because the first movement of the wave is down)
B=2(pi)/15 ( determines the period , we place 15 because a period is every 15 mins)
C=0 (since the wave started at 0 minutes and at the sinusoidal axis, there is no horizontal shift)
D= 9 ( this tells us that the whole graph will move 9 metres up, it is the sinusoidal axis)
Now we can put these informations into an equation.
The amplitude
2 Pi(3.14) / 15 = o.42
The vertical shift\
A) Assuming that the depth of the wave varies sinusoidally with time as the tsunami passes, predict the depth of the water at the following times after the tsunami first reaches the pier.
i) 2 minutes ii) 4 minutes iii) 12 minutes
For this problem, we could just insert these times into the equation in place of x to determine the depth of the water. For example, this is the equation for 2 minutes:
We do the same for the rest, place the minutes in place of x.
B) According to your model, what will be the minimum depth of the water? How do you interpret this answer in terms of what will happen in the real world?
We can see the lowest depth of the water by looking at our graph. It is -1 since it is the lowest the wave can go. In the real world this is kind of confusing. How can the lowest depth be -1 , this would mean it digs under see bottom. Therefore we state it as , for lenght of time the wave is at its lowest, we can see the bottom.
C) The wavelenght of the water is the distance a crest of the wave travels in one period. It is also equal to the distance between two adjacent crests. If a tsunami travels at 800 kilometers per hour, what is the wavelenght?
For this question. it is stated that the the wave is traveling 800 km/h. In our graph, one period of the wave is 15 minutes. We found the answer for this question by cross multiply.
THE NEXT SCRIBE IS CHRIS A.!!!!
BOB
BOB
-Britt<3
BOB
Good luck on the test!
B o B
Good Luck to everyone... ~(_8^(])
BOB
Today's Slides: May 29
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Monday, May 28, 2007
B.O.B
BOB
BOB
Today's Slides: May 28
Here the are the others ...
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
May 28
First period we reviewed for our test by doing some problems in groups. Question 1 as shown in the slides introduced some words that i have never heard of. First of all there were the words Perigee and Apogree;
Perigee means the closest point to something.
Apogree means the furthest point from something.
The first question asked "How does it take for the spaceship to go around the earth."
- To answer this you are trying to find the period or (B)
- The next question was "What are the distances at the Perigree and the Apogree?"
To find the distance for the Perigree you take D-A or 550-450 = 100
To find the distance for the Apogree you take D+A or 550+450 = 1000
Question 2 is explained in the slides posted from today.
Period 2
We did our per-test.
The test is on Wednesday people and we start our final unit tomorrow.
The next scribe is Jowell.
Scribe, May 23,24 and 25
On May 23 and 24 we got two booklets in which we were supposed to work on independently for a new unit of Design and measurement. Basically the whole unit was summarized in these two booklets but Mr.K wasn't there and we had kind of a hard time recalling this methods because it's been so long.
On Friday, when Mr K came back there was really no talk about the unit we had done while he was away. He started off by reviewing what we had done so far in periodic functions ( the slides from the past classes) and reminded us that our exam was only about 19 days away.
In slide 1 we looked at putting all the information we had done so far to a problem.
Sorry I'll finish up later my pictures don't want to work
The next scribe Is........I think were starting a new cycle
Friday, May 25, 2007
Today's Slides: May 25
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Tuesday, May 22, 2007
Today's Slides: May 22
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Thursday, May 17, 2007
Periodic Functions
OHHH and the next scribe is TENNYSON!
Today's Slides: May 17
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Wednesday, May 16, 2007
Today's Slides: May 16
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Tuesday, May 15, 2007
Scribe
OK so today was the first day of our Periodic Functions unit.
To day we looked at the circle, and why there are 360° in a circle. The reason is that 360° is divisible by many numbers, and ever though measuring a circle with 400° may be easier, it cant be divided by as many numbers as 360°.
let me show you (note this symbol † mean divisible by )
360°† 1, 2, 3, 4, 5, 6, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 77, 90, 120, 180, 360
400°† 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
as you can see, 360 is divisible by a lot more numbers
Next we learned that we measure a certain way, and even though measuring in Jhay-Ar's sounds kinda cool, not everyone knows what it is. So we use radians.
If you take the radius of a circle and measure it around the circumference of half a circle you will notice that it fits exactly the number of π around the half circle. 3.145 .....
This is a radian measurement
it is usually expressed π/ x
half of a circle is 180°.
180° degrees = Ï€
That is why we measure in π. π can also translate into degrees on a circle.
For example
Ï€/2 is half of the circle and since 180° = Ï€ then 180/2 is 90° which is half of a circle
Ï€/3 is one third of a circle, 180° = Ï€ then 180°/3 is 60°
Ï€/4 is one quarter of the circle there fore 180°/4 is 45°
Ï€/x is a radian measurement
but what about degrees higher than 90°?
lets try
2Ï€/3
well since 180°=Ï€ we can substitute Ï€ with 180 °
2(280°)/3
2(60°)
120°
the degree is 120°
Here is the diagram. from the slides
OK we in the after noon we were given questions and equations
the equation that we were given was
R/Ï€ =D/180°
r represents Radian
π represents π
D represents Degree and
180° represents 180 °
Ï€ still = 180°
So the first question we were given was
Find 250° in radians
we solved like this...
r/Ï€ = d/180°
r/Ï€=250°/180°
180°r/180° = 250°Ï€/180°
simplify to r=25Ï€/18°
so we just plugged the degree into the right place and crossed multiplied and then simplified
Next Find 3Ï€/8 in degrees
The class solved it this way
d/180°= 3Ï€/8/Ï€
Ï€d/Ï€=180° (3Ï€/8)/Ï€
d=180°(3Ï€/8)/Ï€
d=67.5°
now to me this is a bit much, because of the complex fraction ( a fraction within a fraction ) that and fractions make me angry.
So the way i did it was...
if Ï€ is equal to 180° degrees then replace Ï€ with 180°
3(180°)/8
3(22.5°)
=67.5°
Both ways are correct, being the lazy person i am, i found a short cut. It just turned out to be a good one, he he.
we also learned what a periodic is. A periodic is something that repeats a rhythm, or a patter. Like the clock, the second hand on a clock will reach its lowest point ( at the 6 ) say now, and reach its highest point (at the 12 ) 30 seconds from now, and then its lowest 30 seconds from then, then reach its lowest point 30 seconds from then and so on and so on. and it never stops. The same thing with the minute hand, excepts its in minutes. and again with the hour hand, except it takes hours. the same thing can be said about a planet, or its moon. It reaches its maximum high at one point and then its minimum point another time and so on. You can find periodical patterns like this everywhere. In a heart beat, seasons, ocean tides, nature and so much more.
We learned this so we could start our homework assignment, the sine curve (graph) thing. Its a hand out so if you didn't get it, ask Mr.K for it.
We leads me to the end of class. Just after the bell we watched a Math parody rap. Called "whatcha no 'bout math". It was kinda funny, i liked it. I wont link it, but of you want to watch it youtube search "whatcha know 'bout math"
hasta luego.
By the way i think I'm the last one on this cycle so there for a new cycle must begin. I suppose ( and if I'm right I'm not sure ... ) the next scribe will be.... mm mm
☺☺☺CRIS_JOHN ☺☺☺
(extra note the ☺ code ALT+1 , if you didn't know)
Today's Slides: May 15
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Monday, May 14, 2007
BOB
bOb
B o B
Well, our 2 questions test is today, I just hope it's not too long and confusing...Good Luck! ~(_8^(])
BOB
Bob
B.O.B
BOB
BOB
BOB on Personal Finance
Sunday, May 13, 2007
Food For Thought
Research Assistants
How are Research Assistants Chosen?
Choosing to be a Research Assistant is entirely voluntary ... but if you do it you can get a bonus mark on the unit test for each unit you undertake to act as Research Assistant. A maximum of one bonus mark is available for each student that publishes as Research Assistant.
IMPORTANT: There can only be one Research Assistant for each scribe post.
What Does a Research Assistant Do?
The Research Assistant must search the internet to find a minimum of two links in support of one of our daily scribes.
(a) One link must be to a site that reviews the content we have been studying in class as described in the scribe post for which you are acting as Research Assistant.
(b) One link must be to a site that has one or more interactive quizzes (self correcting) that deals with the specific content covered by the scribe post for which you are acting as Research Assistant.
(c) The links you find cannot have been published by any previous Research Assistant.
(d) Tag your post with i) your name, ii) the unit ii) Research Assistant.
How Do I Know What Previous Research Assistants Have Done?
Below is a list of the units and Research Assistants to date. This list will be updated as each Research Assistant posts the results of their research. Each Research Assistant's name is linked to the post they made with the links they found. This post is your "one stop shop" to find out what has gone before and learn/review when you need it.
The Research Assistants List
Conics
MrSiwWy
Saturday, May 12, 2007
Personal Finance, May 11
So this was the first question on the quiz:
So for part A, it's simple. Just use the TVM solver. But the sneaky part is with the down payment. Be sure to subtract $4000 from the total price of the new car. The value that you get will be your [Present Value], then [Alpha][Solve] to get the monthly payment.
For part B, it's just as simple. the monthly payment for rent is $325, and she rents for 3 years. (you multiply 325x36=11700). Then you have to read carefully because it says that she wants to purchase the car afterwards, and that will cost $8000. So you just add the $8000 to $11700.
For part C, they are asking which is the better deal. To figure that out take the monthly payments of buying, and multiply that by 36, then you must remember to add the $4000 down payment. That will give you the TOTAL AMOUNT PAID FOR BUYING THE HOUSE. Since there are no down payments to renting the answer you got in part B is the TOTAL AMOUNT PAID FOR RENTING. Then you compare the total costs, and the smaller value is always the best one! And subtract them from each other to find how much she saved.
And the second question...
We wanted to find out how much her tractor will be worth after 6 years. There are a few ways that you can approach this question.
One way, which is the hard way, is to multiply $60000 by 8% and subtract that answer from $60000, then take that result and multiply it by 8%, then subtract again.
The second way that you can do this question is just multiply $60000 by 92% (because the tractor depreciates by 8% which means that you're KEEPING 92%), and just multiply that for every year, until six years.
The third way, you can do this question is by taking $60000 and multiply it by 92%, but then remember to raise it to the power of 6, since you want to know how much it is worth after 6 years.
And the next question...
This question was pretty straight forward. It gives you the monthly payment ($500), the interest rate (4%), how many times it's compounded (12), and it tells you when he makes payments (at the beginning of every three months, which is 4 times a year).
Just put it into your TVM solver, but the tricky part is when they say " at the BEGINNING of every 3 months". Look at where it says "PMT: END BEGIN" on the TVM solver. You have to put it on BEGIN in order to get the right answer!
AFTER THE QUIZ.. we went back to the question we worked on the previous day.
THIS WAS ALL OF OUR INFORMATION FROM THE QUESTION.
Then we worked on part D
So after 10 years, the value of the house is worth $60949.72. You multiply the value of the home by the percent that it appreciates, so that's 50000(1.02), then raise it to the power of ten because you want to know how much its worth after 10 years. To get the taxes multiply it by 0.015 because the question said that the taxes are 1.5% of the market value.
For renting, its just the monthly payments multiplied by how much it appreciates each month. In this case, the monthly payments are 525, and it is appreciating by 3%.
And to get the TOTAL ANNUAL PAYMENT after 10 years, if you are buying the house, you take the monthly payments, which we found in part a, and you multiply it by 12 (one year) then ADD the taxes. and you get $5885.01
And if you are renting, just multiply how much renting costs after 10 years which we got earlier, and multiply it by 12. and you get $8466.72
PART E asked:
They might want to rent instead of buy, even though it is more expensive because of the following reasons:
- when buying, the heating, hydro, electricity, and other expenses were not yet included. So that would mean more money for more expenses. Where as in renting you already have the heating and hydro, etc included in those monthly payments. - the family would probably rent, depending on their financial situation as well. They probably don't have the money up front to pay for the down payment if they wanted to buy a house.
AFTER THAT QUESTION, we moved on to another long question
But it wasn't all that bad. Here are the answers and explanations:
AND THAT IS ALL!!! Tomorrow is our "test". Two questions that are worth 1000 MARKS! Goodluck guys. See you tomorrow!
And the next scribe will be.... NAYDIA!!!!
Friday, May 11, 2007
Today's Slides: May 11
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Thursday, May 10, 2007
Personal Finance
I wrote down the meaning of Equity when Mr. K was talking.
Equity is a fraction of the house you own and and it never loses its value.
Sorry but i am getting in trouble for being on the computer this late so for the questions just check the slides because we had to find the appreciating value of the mortgage and had to find the differences of renting and a mortgage so i have to go.
The next scribe is..... Jennifer.
Personal Finance
Yesterday we worked on a couple of questions and i am still a bit confused but i am getting there.
We had to find monthly payments, total mortgage, total interest, and total savings.
An example of the questions is this and i am sorry i cant get the slides to show up on my computer.
to find the monthly payment of the question, the 25 years of mortgage was turned into months by:
multiplying the # of years by the # of months in a year and it gives you 300 but that is still not finding the monthly payments amount so, we put this in the calculator:
N=300
I%=7
PV=121000 because this is the mortgage that they will require.
PMT=-847.50 because you need it at 0 so you can get this answer and this is the monthly payment.
P/Y= 12
C/Y= 2
To get the total mortgage after 15 years you take the monthly payment and multiply it by the # of months so: $847.50 x 300 and you get $254250.00 as the total mortgage after 15 years.
to get the total interest you take the total mortgage and subtract it by the mortgage they require so: $254250.00 - $121000 and you get $133250.00 as the total interest you will have to pay. Then to get the total saving of the other years from part a you find the difference between the two so you take $133250.00 - the answer from part a and it equals $5628 as the total savings.
Today's Slides: May 10
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Wednesday, May 9, 2007
Today's Slides: May 9
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
and here are the slides from the afternoon class ... without your work on them yet ...
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Tuesday, May 8, 2007
May 8, 2007
- To determine the monthly payment, we can again use our calculator. and the monthly payment is $948.52.
- The total amount paid for the mortgage is calculated by multiplying the amount of monthly payment to 240 which is the product of 12 * 20. The total amount is $227,644.80.
- The total amount of the interest paid is $106,644.80. we got this by subtracting the required mortgage from the total amount of mortgage.
- By repaying the mortgage in 20 years instead of 25 years, the Jamison family saves $32,233.20.
The next scribe is Chris...
Today's Slides: May 8
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Monday, May 7, 2007
Today's Slides: May 7
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.
Friday, May 4, 2007
Personal Finance
The next scribe will be...
Kyle
Today's Slides: May 4
To see a larger image of the slides go here. When you get there you'll see a button in the bottom right-hand corner that says [full]. Click it and the slides will display in full screen mode.