This is the online extension of our classroom this semester (2007 Fall Term) at the SVRSS. The content here is being created by real students in a real classroom. Enjoy learning from and with each other...
Friday, November 30, 2007
November 30th
Today are assignment was to work on Accelerated Math. This is due to the fact that there are 43 objectives due on Tuesday December 4th. Hope everyone is somewhere near there.
Well since its a work period, I'll briefly discuss what the presentation this morning was about.
The presentation was on addictions. There were 3 guys who came to talk to us, Trevor, Steven, and Rollin.
They each shared some of their struggles with their addictions to alcohol and drugs. All had said that they remember sitting through these presentations when they were in high school and saying that they would never smoke or do that stuff. They also wished they had talked to their parents, school counsellors and teachers. They are here to help not to hinder.
They also said that is was like an illness of the mind that you bring on yourself. They all recall thinking that they weren't good enough, or they were like chameleons that would just blend in with which ever crowd of friends they were hanging with.
Rollin went through the loss of his wife and son, although now him and his son have a great relationship. Rollin can relate to what his son is going through in school and they have agreed to be best friends through all high school and talk about everything. Also while he was in his addictions stage he was involved in a biker gang. he was also attacked during his addictions due to gang membership. He was stabbed tried to commit suicide twice and lost everything, his house, car, everything, and yet he is still here to share his story. He is helping to make a difference in Winnipeg by coaching boxing, he recently opened up a center that anyone can go to. Tune into APTN on December 26 to see one of his moving boxing shows in which he helps street kids. Rollin has been sober and drug free for 5 years now.
Trevor was introduced to drugs when he was in grade 7 or 8 and as he recalls he was high when he attended a presentation like this in high school. He dealt drugs on and off. He hates rehab centers. He went through many in just a year. He is glad that he changed his way from alcohol and drugs. He has been sober for a year and a half now.
And last but not forgotten is Steven. He has always felt different. One day his mom pointed out a man at a 7-11 that looked feminine and said that he was "gay". Steven simply asks what does gay mean? His mom is like a guy who is attracted to men. Now Steven had always had trouble when it came to commitment with his numerous girlfriends he just couldn't commit. He would always be like "I'll try harder with the next one". He would quite often drench his pain and his sense of not belonging by doing drugs and alcohol. He started to deal it too. His life is now great and he has realized that he is gay, but it doesn't matter to him. Steven has been sober and drug free for 2 years on December 13.
Even though they didn't know each other before the 12 step recovery program, they all had many things in common. All three of these men went through many hardships. They lost everything, they felt alone, lost, even rejected at times. They all feel in to the trap of drugs and alcohol addiction.
Now they are all happy to feel free for the first time in years. Even though they said they'd never get into any addictions it still happened. Peer pressure, is one of the main reasons people get into these situations. As they said its easy to say that you won't but harder to actually do.
Yeah i know its long and slightly repetitive but I found the presentation to be good and motivating.
**** REMEMBER: 43 objectives are due on Tuesday December 4th*******
Good luck and have a great weekend everyone.
P.S. I'm not sure who scribes on Monday
Thursday, November 29, 2007
*We have a sub tomorrow so it will be a work period ..try to get lots done because 43 objectives are due on Tuesday at the end of the day*
*FYI a Free new version of graphmatica 2.0 can be downloaded, it shows intersects, tables etc.. *
Today: We worked on accelerated math and had a quick lesson on Circles..inscribed quadrilateral, incyclic quadrilateral
mL1+mL3=180 degrees
mL2+mL4=180 degrees
My Opinion on the wikipedia Banning
Wikipedia... is a truly convenient search engine not all the information is correct, and most people are aware of this. I think it's a good learning tool for those who can correct the errors on the site.
It shouldn't be banned from schools, but students and teachers should know that not all the information is correct and the site isn't totally reliable. Personally I think Wikipedia is such a popular site it sits on top with search engines like Google, Yahoo and Ask Jeeves. To find information quickly Wikipedia gives you specific, but not always accurate solution to your question. Its almost a bitter sweet situation.
(picture above)http://www.pixelache.ac/2005/files/_Wikipedia-logo_BWb.jpg
Wednesday, November 28, 2007
Wed. Nov. 28/2007
This picture demonstrates the rule that there is always one less triangle that can be made then the number of sides, when the goal is the minimum number of triangles that can be fit in a regular polygon.
This picture shows us regular, equiangular, equilateral polygons.
Tuesday, November 27, 2007
Tuesday Nov.27
Today in math we continued working on circle geometry.
We started with circle number 3.
*If a circle contains an inscribed angle such that the angle intercepts a semicircular arc, THEN the inscribed angle has a measure of 90 degrees.
(Inscribed- when a line intercepts a semi-circle.)
Circle-4 If 2 angles are inscribed in the same circle and they both intercept the same arc THEN, they are congruent.
(Congruent- the same)
Circle 5- If there exists a line tangent to a circle THEN the tangent line is perpendicular to the radius/diameter at the point of tangency.
(Tangency- having contact at a single point or along a line without crossing.)
Circle 6- If a point in the exterior of a circle and 2 unique lines tangent to that circle exist through that point then the segments created from the points of tangency to the exterior point must be congruent.
That was the lesson for the day after that we continued working on accelerated math.
* The new deadline for accelerated math is next Tuesday!
Have a great week. The next scribe is Toderash
Monday, Nov 26, 2007
(major) ;;; associated with central angle >180)
(minor);;; associated with central angle <180)>
.. on to the diagrams that should help you with understanding!
AB is a chord,
so is KE.
KE is a diameter
and HI is a chord also.
CL is not a chord,
it's a radius.
Finally, DG is a tangent
and JF is a secant line.
Remind you of a poem? Haha.
the vertex has to be the middle letter!!***
EIH is an inscribed angle.
Here is a representation of what the different kinds of lines there are.
- Segment, as you can see has no endpoints.
- Line has both endpoints, the circle.
- A ray has just one end point and it is one way.
I'm sorry since I didnt get a chance to put those Accelerated math problems on here!.. But, I just couldnt get the diagrams to look right. If this helps any, here are the statements that Mr Max wrote after demonstrating***
"If a central angle and an unscribed angle in the same
circle both intercept the same arc, then the central angle has a measurement of 2wice the unscribed angle."
And!!
"If a diameter of a radius happens to intersect a chord at a perpendicular, then that chord is bisected at the intersector point."
**** the converse is true also..... meaning that "if a chord is bisected by a radius or a diameter then the angle of intersection is perpendicular."
Thursday, November 22, 2007
Remember: Circles
-- There was no lesson today --
-- Informational folders (that may help you with AM) found at J:\Coursework\Math\Applied Math 30SA-1 --
-- It's recommended that we 'refresh' our vocabulary for our new circles unit (can be found in 'that' folder under geometry) --
______________________________
Wednesday, November 21, 2007
November 21
So I know everyone is trying so hard to catch up on thier excelerated Math!!! So keep going today is a work period to get some excersises done!!! Good luck on getting everything done on time!!
http://img371.imageshack.us/img371/3194/thumbsupag3.jpg
And tomorrow Semba you are the blogger tomorrow! And there are 43 objectives due at the end of the month!
Tuesday, November 20, 2007
Scribe for Tuesday Nov. 20
So frist we did mental math and had a disscussion on a "saying" that was said in class when we had to find the product of the word fish. And we also got distracted on the topic of what salmon and tuna look like in live fish and sushi form.
Then we did:
Linear Equalities:
(graphing rules with logic testing)
Consider this:
-8x+4y-3>=0
The question is:
What do I do with this if I have no Graphmatica?!?
First you have to put it in a form your calculator will accept
4y>=8x+3
devide the equation by four to get
y>=2x+3/4 *( NOTE: it is two x because 4 goes into the 8 twice)*
NOTE: What i know!!!
- i know that the corresponding linear equation goes through(0,3\4)
- there is a line slope of 2
Here it is graphed:
(and yes i am using Graphmatica but that is because i am doing this at home and do not have the original screen shots)
Now which way do i shade it?Because in your graphing calculator you choose which way it unlike Graphmatica doesn't do it for you.
Do you shade blue or green???(so chosen for the colours because of the gray cup finalists)
now you choose a spot to see this is best if you choose 0.
yiou look at the eqation:
(you enter 0 as both the x and y values)
0>=2(0)3\4
0>=3\4
(the two is gone because 2 multiplied by 0 is 0)
you know that this equation doesn't woprk because 3\4 is not less then or equal to 0. so you know that you have to shade what is less then 0.
So you shade blue!!!!
I think that was about it.
We then finished the class with working on our Accelerated math.
- we have 40 objectivbes due by the end of the month
- there are TADD povillions tommorropw in 4 and 5 block
- and i am not sure who scribes tommorrow (SORRY)
Monday, November 19, 2007
Monday, November 19
Linear Programming:
http://mathcentral.uregina.ca/beyond/articles/LinearProgramming/linearprogram.html
Friday, November 16, 2007
"Friday's Fantastic Voyage in Room 204"- November 16th Scribe
We next individually went up and had a homework check on our questions that were due today on "Solving Linear Programming Problems."(One we picked ourself and one chossen by Mr. Maks)
These questions were similar to a previous unit we did on "Linear Equations." So i think that most of out class caught on fast, even though you used a slightly different technique to solve the questions.(Using the Zone of Feasibility) For this reason, it seems like we are all doing quite well and understanding the questions assigned.
While we were waiting to have our homewrok checked, we worked on Accelerated Math. In fact, we pretty much had the whole class to work on Accelerated Math to finish our forty some objectives that need to be completed for the end of the month. The scriber for Monday's class is "Patzer."
Thursday, November 15, 2007
Mr.Max explained to me that since it was a work period I had to be creative. I believe this has to do with math and is sort of fun haha. Enjoy...
I still get them wrong and I am not very amused.
Digits and decimals, too many D's
But wait until we start on those x,y, and z's.
Powers of 10 are expressed by exponents in many ways,
But, remember, there is only one and that is to have them raised.
Counting all those zeros makes me very crazy,
So use that scientific notation and don't be so lazy.
Collections of elements in sets are a breeze.
Elements follow a pattern just like 1,2, and 3's.
A variable is a symbol like x which has 1 value, not 2.
If you put the right variable in an open sentence, the statement will be true.
Factoring numbers can be such a bore!
But, prime numbers are the best since the factors are only 1 and itself, and nothing more.
Basic axioms of algebra leave you in awe,
But not to understand them is one major flaw.
The most important axiom is the distributive one.
It's the one we used the most, but it wasn't that fun.
Reciprocals are the numbers that always do a flip upside down.
Inverses are very different and in their own special way turn around.
Numbers are variables are jumbled disorderly,
Are called equations and are only solved algebraically
Solving inequalities can make you want to die,
But, there are only 3 choices: greater than, less than, or equal to, so there is no need to cry.
Polynomials can leave you in such a disarray,
But, just remember there are coefficients and constant terms and then you will be straightened out today.
Products of binomials can take you so long to do a few.
But, just skip the steps and use FOIL without a big to do.
Figuring out ordered pairs can leave you in such a mess.
But, if you remember the x-axis, y-axis, and origin, you'll do them with success.
Systems of linear equations can be solved in 4 different ways.
Substitution, addition method, determinants, and graphing with different rays.
The slope always equals rise over run.
If you remember this you'll always get those problems done.
Quotients of 2 polynomials are called Rational Algebraic Expression.
If you don't reduce them fully they will leave you in a great big depression.
Square roots and cubic roots leave me very puzzled,
But the index and radicand leave me troubled.
Square-free integers can't be broken down anymore.
They are like 2,3, and 5, but never integers like 16 or 4.
Wednesday, November 14, 2007
Wednesday, October 14th.
Note: Approximatly 42 objectives on Accelerated Math will be due on November 30th.
Good luck Senior Varsity Volleyball teams! SINK THE SHIP!
Tuesday, November 13th
- We than gathered in our groups we were put into on Monday, and completed our question that was assigned to us.
Good Luck to volleyball girls + boys! SINK THE SHIP
Tuesday, November 13, 2007
Solving Linear Programming Problems
Let x = long sleeved shirts
Let y = short sleeved shirts
a) 4x + 3y <= 120
b) 3x + 1y <= 60
d) (0, 40) (20,0), but answers can vary
e) The best solution on the graph is where the two inequalities intersect, making it a critical point which is (12, 24).
Profit made:
12 long sleeved shirts = $13.20
24 short sleeved shirts = $14.40
click on to enlarge
Math Question Exerscise 5 question 4
Deluxe Computer-.5 hour of electronic manufacturing and 2 hours of assembly time
Letx= standard
Lety=Deluxe
a)the in equality for the electronic manufacturing time :
5x+.5y<30>b)1x+2<70
c)took let statements and put them in graphmatica
d)the two possible solutions are: (10,30)and(15,10)
e)the location of the best solution is the intersections of the lines
Critical points
(0,35)=6300
(10,30)=7900
(30,0)=2500
Solving Linear Programming Problems: Question 2
a)Inequality that represents the relationship between the length and width.
-(10,10)
-(5,15)
-(18,8)
People who did this wonderful question!!!
-Ashley
-Alexis
-Alissa
-Haley
-Kat-lynn
Sunday, November 11, 2007
Unit 2 Summary- Non-linear equations
x- linear
x^2- quadratic(one curve)
x^3- cubic(two curves)
x^4- quartic(three curves)
x^5- quintic(four curves)
Standard form
y=ax^2+bx+c
Vertex opening form
y-k=a(x-h)^2
Where (h,k) are the vertex coordinates.
In this equation, the value of "a" tells us the opening.
If a>0, parabola opens up
a<0, opens down
a=1, standard
a>1, narrow
a<1, wide
Parabola with a minimum value is "cup" shaped.
Parabola with a maximum value is "cap" shaped.
Domain= all values of x
Range= all values of y
Axis of symmetry- # of x-axis that passes exactly through to vertex
Cubic function- has no absolute min or max value, only has relative values.
Zeros- were lines passes through x-axis
My Apologies!!
thanks
Non linear Functions Test Review
x^1= Linear no curves, x^2= Quadractic 1 curve, x^3=Cubic 2 curves, x^4 =Quadratic 3 curves, and x^5 Quintic= 4 curves. We learned about Cubic functions, all cubic functions are in this form y=ax^3+bx^2+cx. Then we learned about domain and range I struggled with this part, Domain= X values and Range =y values. Type of vertex openings. a>0-opens upward,
a<0-opens>1-narrow parabola. Overall this unit was harder than the first unit for me.
Thursday, November 8, 2007
Unit Two Test Review
We learned about:
*Linear Functions
- x^1 - is a straight line.
* Quadratic Functions
- The form is: y-k=a(x-h)^2.
- x^2 - has one curve.
* Cubic Functions
- The form is: y=ax^3+bx^2+cx.
- x^3 - has two curves.
* Quadratic Functions
- x^4 - has three curves.
*Quintic Function
- x^5 - has four curves.
* Exponential Functions
- The form is: y=a*b^x.
We also learned about:
* Domain
- The domain is all the x values.
* Range
- The range is all the y values.
* Function
- When the function passes the vertical line test. Which means it can only have one point vertically.
* Relation
- Every straight line is a relation.
* Maximum Value
- The maximum value is the highest point on a parabola. When there is a maximum value this means that the parabloa opens downwards.
* Minimum Value
- The minimum value is the lowest point on a parabola. When there is a minimum value this means that the parabola opens upwards.
* Axis of symetry
- The axis of symetry is the middle verticle line on a parabola. ( x=h )
* Vertex
- The vertex is the highest or lowest point on the parabola.
- a>0 - opens up.
- a<0>1 - narrow parabola.
- a<1 - wide parabola.
New Commenting Post! haha
yayyy.
let's help eachother with our math.
November 8
1. Work on the take home assignment - Non Linear Functions
2. Complete a unit summary on the blog in order to recieve extra marks on the test
3. Continue working on accelerated math objectives.
4. Begin to learn Linear Programming using http://webct.merlin.mb.ca/webct/entryPageIns.dowebct
For user name and password, enter "demo".
For extra help on our self test, we have set up a "blog chat" by commenting on "The Take Home Assignment" post. Remember not to plagiaris or you will get nothing but a 0 and a possible failed math credit! Good luck chuck!
The Mechanics behind what we've learned so far:
Functions-passes the vertical line test and creates a set of even numbers
Relations-every line is a relation
Domain -represents all the x values
Range-represents all the y values
Functions-
x^1-linear-straight line
x^2-quadratic-one curve
x^3-cubic-two curves
x^4-quadratic-three curves
x^5-quintic-four curves
The Virtex openings-
a>0-opens up
a<0-opens down
a<1-wide porabola
a>1-narrow porabola
note*
maximum=cup shaped
minimum=cap shaped
`~`*Good Luck!!*`~`
Thursday, Nov 8, 07
Today we did mental math 19, than Mr.max gave us some options to work on, in no prior order to do them in.
1. Finish take home assignment (test)
2. Do a unit summury for marks
3.Work on Accelerated Math
And 4. By linking from our blog, and using "demo"/"demo" as user name and passward. Start learning the next unit (on purpose).
Wednesday, November 7, 2007
The Take Home Assignment
Hand it (whatever it becomes) by Friday @ 11:20 a.m.
The idea here is to prove to me that you've learned some things in this section of the course. Use any/all resources available to you (including Graphmatica, Excel, your calculators, etc.), but CONCENTRATE on the QUALITY, APPEARANCE, and GENERAL MATHEMATICAL WORTHINESS OF YOUR RESPONSES. The format of your responses is up to you, but consider that perfection is the goal. Creativity should be considered when you are CREATING your responses. Plagiarism of any kind will be rewarded with a zero grade on the assignment, in addition to my disdain for your lack of personal integrity.
Impress me. Challenge yourself.
RM
Tuesday, November 6, 2007
Today’s plan in math
- Test Review
- Practice Test Questions
First we started the class of with Mr.Max handing out the review questions for the test. Then Mr.Max started putting up the review for the test. The unit we are reviewing for is Non Linear Functions.
Test Review – Non Linear Functions
1. Mechanics- For this section we should know the following things.
- Functions/relations
- Domain/range
- Calculator Stuff (Tracing, calculating, windows, zooms, tables, graphs, intersections, etc.
Graphmatica Printing
-First you open up graphmatica.
-Put in your equation, press enter.
-Then at the top left hand corner of the screen you should see a button called “copy graphs”.
- Click on it, and now you have copied your graph.
-Now open up word.
-Right click and select paste.
- Now you can print!
(**DO NOT HIT PRINT SCREEN ON GRAPHMATICA always print off word, if you do print off graphmatic I suggest hiding from Mr.Max.)
2. Quadratics “Actual important stuff in the course”
Y-k=a(x-h) ^2 vertex opening form
y=ax^2+bx+c=standard form
(H, K) = the vertex of a parabola
How to find the vertex of a parabola.
1. Graph the parabola on your calculator.
2. Press 2nd trace
3. Next select minimum or maximum, and press enter.
X=linear (no Curve)
X^2= Quadratic ( 1 Curve)
X^3=Cubic(2 Curves)
X^4=Quartic(3 Curves)
X^5 Quintic (4 Curves)
Cubics
· Box volume or relative min/max problems.
· Cubic Functions are all in this form y=ax^3+bx^2+cx
Exponentials
· No “e” questions
· You will have to use exp reg to create y =a.b^x
*Before Mr.Max had to leave he had a “crazy idea”, this crazy Idea was instead of us having our test tomorrow in class, and we would take home our tests and hand them in on Friday! The next scribe is Bass.
Non Linear Functions Unit Summary
Quadratic functions can be seen in two different forms...
standard form: y=ax^2 + bx +c
vertex opening form: y - k = a (x - h)^2
In vertex opening form, the a value tells us opening.
If a>0, parabola opens up.
If a<0,>1, parabola is narrow.
If a= <1,>
y - 1 = 2 (x + 2)^2
y - 1 = 2 (x - (-2)) ^2
Answer: (h, k) = (-2, 1)
Cubic functions can also be seen in two different forms...
standard form: ax^3 + bx^2 + cx + d = 0
function form: f(x) = ax^3 + bx^2 + cx +d
A cubic equation can have no exponent larger than 3.
Exponential functions are all in the form y = ab^x. Generally, we see exponential graphs look like this...
To solve a basic exponential problem we have to create lists on our calculator and use ExpReg to sove the equation.
Non-Linear Function Unit Summary
Ex: (3,2), (8,9), (12,-8)
Domain : 3, 8,12
Range: 2, 9, -8
How to use Graphmatica and my calculator to find the domain, range and other questions answers. I also learned how to do questions with “e” in them like the amusement park questions, and how to print from Graphmatica.
Printing from Graphmatica:
Enter the equation, change the window setting if needed to properly see the graph, use copy graphs (it is the fifth button from the left), go to word, right click, paste, and re size and add titles and so on if wanted.
We also learned of equation forms:
y-k=a(x-h)^2
y=ax^2+bx+c (standard form)
These are for quadratics.
We also learned how the exponents show how many “bumps” are in a function.
Linear:zero
Quadratic: one
Cubic:two
Etc…
And by using excel how to find the volume of a box.
I found learning Domain and Rage difficult since I had no idea what I was doing. I found the Amusement park questions very easy from the beginning and was able to do well on those. I still find creating stat plots difficult but am getting a lot better at it!
I found this unit to be fun and a little challenging but over all there was a lot to learn.
Monday, November 5, 2007
Thursday, November 1, 2007
November 1 blog scribe
- Hey Everyone I am subbing for the scribe today!!!!
- Toderdash is scribing on Monday
- There is no school tomorrow
- Test Tuesday
- 25 objectives due by 3:40 today
Today we did mental math! some very lovely questions about 35 kids coming to the door and each getting 6 candies how many did I give away and how 10 candies are $.25 each how much did it cost to buy the Candy? This took up a good 10-15 minutes of class.
We then saw a picture of of Mr Max family
And noted the pumpkin to the right of the picture it was throwing up!!
Then we worked on Accelerated Math.
Alot of people were having problems with the amusment park questions so this is how to do it:
The amusement park
1991-190000 this is four years (important to remember)
1995-469000
These are the answeres given:
A) f(t)=190000e^(0.216t)
B) f(t)=190000e^(0.226t)
C) f(t)=279000e^(0.226t)
D) f(t)=279000e^(0.216t)
This is an exponential situation
There has been an exponential growth.
These are your window settings.
X min -2
X max 6
Y min -100000
Y max 500000
You cannot be C or D because it is not the original number of people so that brings down to a fifty-fifty chance, the only difference is the exponents you have to try both of them in your calculator, and the answers are very close together.
You have to trace at 4 years because the polls are four years apart.
One of the numbers should be closer to the amount of people attending the amusement park in 1995 than the other so it is the answer.
This is the online extension of our classroom this semester (2007 Fall Term) at the SVRSS. The content here is being created by real students in a real classroom. Enjoy learning from and with each other...
Labels
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- Hey class!*We have a sub tomorrow so it will be a...
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- Monday, Nov 26, 2007
- Remember: Circles
- November 21
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- Wednesday, October 14th.
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- Solving Linear Programming Problems
- Math Question Exerscise 5 question 4
- Solving Linear Programming Problems: Question 2
- Unit 2 Summary- Non-linear equations
- My Apologies!!
- Non linear Functions Test Review
- Unit Two Test Review
- New Commenting Post! haha
- November 8
- Unit Review StudyThe Mechanics behind what we've l...
- Thursday, Nov 8, 07
- The Take Home Assignment
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