Karen's Journal Entry

Note: I'm sorry for the super late post Mr. Backe and class, my computer got a virus and was sent to be fixed last Monday and I just got it back today so I am really, really sorry.

February 23, 2010

So today, Mr. Backe gave us questions to identify the number of terms, name and degree of an expression like this:




















I think it's pretty easy but he let's us practice because he wants to make sure that we all get it because this stuff is important. He also mentioned polynomials being part of what we need for Grade 10 especially for people taking Pre-Cal. He' going to be talking more and more about it and he's going to teach us "fun" Grade 10 stuff. I never found Math "fun" but maybe it will be. He also made us do matching words (match words and definition). It was really easy because all of the words were in my notes and I know almost all of them except for like terms, terms that only differ only by their numerical coefficients. After, he assigned us assignments, questions from the textbooks, and then he stopped talking and let us do our own work, quietly. I wasn't quiet and he knows that...I finished 5 questions though (:
It's hard for me to do work in class, I need a silent environment and plus and get distracted easily.

Vikram's Journal Entry

February 22, 2010

To start off the class we got our stash-its back. Afterwards we went over our tests. Nicky proved by counting the test was acutely out of 47 instead of 48. One of the questions a lot of people got wrong was number 26, the hexagon question. Mr.B showed us how to make the hexagon on grid paper after. During the last little bit of class we went over a little bit about the new unit (Chapter 5)

Monomial means there is ONE term.

Binomial means there is TWO terms.

Trinomial means there is THREE terms.

We then got home work which was 5.1 extra practice and 5.1 workbook.

Francis M journal entry

February 22 and 23

Scribe Post for March 25, 2010

Hello 9-05 (:
I'm the scribe for today. This is actually my fourth scibe, and I'm not sure if everyone's done their third scribe, so I'll just tell Mr.B to pick someone later on.

Well anyways, today in math class we talked more about polynomials.
We also talked about the GCF, or Greatest Common Factor.
It is the highest number that divides exactly in two or more numbers.
Here are some examples:



Here are the questions we had to solve:

1. 16x + 40 = 8 (2x + 5)
2. 15n - 24 = 3 (5n - 8)
3. -a^4 + 3a^3 - 2a^2 = a^2 (-a^2 + 3a - 2)
4. 12x - 9x^2 - 3x^2 - 6x^4 = 3x (4 - 3x - x^2 - 2x^3)
5. b^5 - 3b^4 = b^4 (b - 3)
6. x^2 y^2 z - x^3 y^2 z^2 + x^4 y^2 = x^2 y^2 (z - xy^2 + x^2)
7. 14x^3 - 21x^2 + 28x^4 - 35x^3 = 7x^2 (2x - 3 + 4x^2 - 5x)
8. 3b^4 - 6b^5 - 3b^4 (1 - 2b)

After that, Mr.B told us to solve these two questions:

1. a (a + 7) + 6 (a + 7)
2. (a + 6) (a + 7)

The answers ended up the same, which was a^2 + 13a + 42.

The last thing we did was the easiest of all:

1. 6t (3t - 1) + 9 (3t - 1) = (3t - 1) (6t + 9)
2. 4z (5 + z) - 3 (5 + z) = (5 + z) (4z - 3)
3. 6 (2a + 3) - 3a (2a + 3) + 2a^2 (2a + 3) = (2a + 3) (6 - 3a + 2a^2)

Mr.B also reminded us to go to http://www.mathplayground.com/ to play games over the break.

Well that's all for the scribe. We didn't do much, and sorry it's super short.
Like I said earlier, Mr.B will pick the next scribe (;

Reminders:
-FORMAL DAY!
-MOVIE DAY!
-SPRING DANCE!

Also, advance HAPPY SPRING BREAK ;D

Scribe Post for March 22, 2010

Hey Guys ! :) Today we bacically just played on www.mathplayground.com. We played with Save the Zogs. Here are some screen shots of the game.

If you take the first picture you basically have to save the Zogs by finding out what line they are. For example: if you look at the first photo the 4 Zogs. They make like a line. Right? What line do they cross ? If you look at it, it crosses through 6y so the line is y=6.

Sorry, that the last picture is too small to see. But on this last picture, it's different from the first picture I showed you. For this one you must use the tracking controls, to move the line and to rotate it. Then select the value for the equation, so that the line matches up with the Zogs.

So you either move or rotate or both, to get the line to match up with the Zogs. Then you have to determine the value of the equation.

To find out the answer if you don't see it. Here's an example on how to find the answer. On this question...

So the answer will be.

Homework:

-write in your journal

-go and try the Math millionaire

Sorry, if i posted it too late. So anyways, props to Liem for the pictures. So, PLEASE COMMENT !!! HOPE YOU LIKE IT :D and the next scribe will be ..... Kara!!

Scribe Post for Friday March 19

Hey 9 -05! Today we basically just corrected our tests. Here are some of the questions that most people had trouble with.

(I'm not completely sure if these are the right ones, so if they aren't, please let me know)

19. Write a simplified expression for the area of this figure. What is the area of the figure?

A = 5y (7y - 4) multiply 5y by 7y and -4

5y (7y) = 35y^2 (y^2 means y squared)

5y (-4) = -20y

= 35y^2 - 20y

The area of the figure is 35y^2 - 20y square units. « simple sentence answer

20. Apply the distributive property to simplify 2x (x-4) - 3x (x - 4).

2x (x-4) -3x (x-4)
=2x^2 - 8x - 3x^2 + 12x remember that it's -3x (x-4). Multiply 2x(x-4) and -3x (x-4)
=2x^2 - 3x^2 - 8x + 12x then you combine like terms
=-x^2 + 4x

21. A pool table is twice as long as it is wide. If the area of the pool table is 2.88m^2, what are the dimensions of the table?

I find it helpful to draw a diagram

A = lw

2.88 = 2w(w)

2.88 = 2w^2

2.88/2 = 2w^2/2

1.44 = w^2

then you find the square root

1.2 = w

The length is 2 times the width

l = 2w The dimensions are length = 2.4m and width = 1.2m.

l = 2 (1.2)

l = 2.4

We also went over these two questions.

(x + 5)^2 = (x +5) (x+5)

= x^2 +5x + 5x +25

= x^2 +10x + 25

2. 3(x+2)^2 = 3 (x+2) (x + 2)

= (3x + 6) (x+2)

= 3x^2 + 6x + 6x + 12

= 3x^2 + 12x + 12

Homework:

Get ready Chapter 6

go to www.mathplayground.com and play "zogs"

Well, that's all for my scribe. If I missed anything, please let me know. PLEASE COMMENT! (also, I have no idea who hasn't done a scribe yet, so if you haven't, YOU'RE NEXT :P) Okay, bye.

Scribepost

March 5,2010

Okay, on Friday, we didn't learn exactly anything new but we did went over a question. We also got a TON of blue papers for chapter 7. There is really nothing new to say exept for the homeworks...

The main homework that should be done BY Monday is the stash it..which is the...
Foldable
Self assessment
Challenges (one of the two..which are kayaks for rent or what have you got to hide)
The mathlinks
Signed test

Then the homework that should be "considered homework" is...
Daffynition Decoder
7-3 and 7-4(green booklet)
7.1 extra practise and work book
7.2 extra practise and work book

Well that's all that I got to say... for my scribe...

the next scribe is...
MARC!

please comment....

Scribe Post for March 4, 2010

Today we had a double math class. In the morning we did our test, then in the afternoon we learned more about our new unit.

Multiplying monomials by polynomials:

(3x) (x + 5)

model:

• this model says that the answer would be 3x^2 +15, because the large squares represent x^2 and the skinny rectangles represent x. So if you multiply to x's together they become x^2. When you multiply an x and a constant (5), the answer results in x.

Algebraic:

(3x) (x +5)

(3x) (x) + (3x) (5)

= 3x^2 + 15x

• In the algebraic way you use distributed property, which means to multiply a single term and two or more terms inside a set of parentheses (brackets)

The second example we did in class:

(2x-3) (2x)

model:

• The answer shown in the picture would be: 4x^2 + -6x

Algebraic:

(2x-3) (2x)

(2x) (2x) + (2x) (-3)

=4x^2 -6x

Then we got some other questions to solve, but we did not have to make a model for it.

1) (2y-1) (7y)

(2y) (7y)+(-1) (7y)

= 14y^2 - 7y

2) (y+2) (-6y)

(-6y) (y) + (-6) (2)

= -6y^2 - 12y

Homework:
read pg 264-268 ( key ideas)

check your understanding # 2, 3

practise # 4 or 5
6 or 7
8 or 9
12-21

Due on monday ( stash it stuff)

Kayaks for Rent or What Have You Got to Hide (Challenges)

Foldable

Self-Assessment

Math Links (Sheets)

Signed Test

That's my scribe! For the next scribe I choose Kim.

Scribe for March 3, 2010

Hello 905! Today we started class by reviewing two questions from the homework.

Question #14 from the Chapter 5 Practice test.

A) 4n+7+5n+6= 9n + 6
B) This could represent the difference between each squirrel.
C) (5n-1)-(4n+7) = 5n-1-4n-7
= n-8

* remember that when the negative is outside the brackets whatever inside is the negative*
Next Question #15 from the Chapter 5 practice test.

A) $100+5b b=bowling shoes
B) $20+4b b=pizza
C) 100 + 5b + 20 +4b = 120+9b

D) 120+9(9) =120 +81

= $201

~CHAPTER 7 ~
Multiplying and Dividing polynomials.
one thing to know about negative and positive numbers.

(-)(-)= +

(+)(+) = +

(-)(+) = -
(+)(-) = -
(-)/(-) = +
(-)/(+) = -
(+)/(+)= +

(2x)(3x)

so (2x)(3x)= 6x(squared)

* reminder (-2x)(4x) the first set is on the side so -2x would be on the side, the second set is always on the top 4x would be on top*

Another example using algebra this time .

Dividing

~Homework time ~ Due Friday!

Read pg 254-258

Key ideas pg 259

Cyu #2

Apply

3 or 4 ,5 or 6 , 7 or 8, 9,10, 11 or 12, half of 15 and 16, 17-24, 26+27

journal.

math links,

Foldable.

I just touched on a bit we did on class, sorry if i missed something, comment please.

The next scribe is Simran.

Scribe Post for March 1, 2010

Hello 905! To day in class we went over one of our questions from our homework. Number 17.

You have to add the bottom two rectangles to get the top rectangle. Like this:

So you add each and put the simplified version on top.

(2x- 1)+(x-2)=3x+2

You combine like terms. I won't show my work because I think everybody knows how to combine like terms already. By the way if you don't know the definition of like terms here it is, Terms that only differ by their coefficient. So Terms that have the same variable and exponent.

(x+3)+(3x-2)=4x+1

(3x-2)+(x+2)=4x

Then you use these expressions to find the next rectangle on the pyramid.

(3x+2)+(4x+1)=7x+3

(4x+1)+(4x)=8x+1

And you do it one more time to find the top of the pyramid.

(7x+3)+(8x+1)=15x+4

And then your pyramid should look like this:

Now if you know how to do this you'll be able to do question 19. I'm just going to review how to subtract with algebra tiles so I don't need to go over #19.

eg. (6x+2)-(-9x+3)

You can add the opposite. So you change the minus to plus and make the numbers in the second bracket the opposite.

(6x+2)+(9x-3)

=6x+9x+2-3

=15x-1

Now here's how you do it with algebra tiles.

After that we worked on Extend, Review or the Chapter Test.

If you didn't finish it's homework

Homework:

Extend

Review of Chapter test

Journal (As always)

Stuff due on Friday: (Stash-its)

Kayaks for Rent or What Have You Got to Hide (Challenges)

Foldable

Self-Assessment

Math Links (Sheets)

Signed Test

BTW the test is on Wednesday. And for next scribe I choose Aleiah!

Please Leave a Comment and thanks for reading my scribe!

Scribe Post for February 26, 2010

Hello 9-05 (:
Though there were a lot of people away on friday, there was still math class, and homework of course. By the way, GOOD JOB TO ALL THE BAND PEOPLE (:
First of all, Mr.B had to set up that projector thingy that always takes some time, but yeah .. we helped (;
After he got it all set up, we went to get our textbooks.
We went over questions 1-4 on Pg. 190. (Explore Adding or Subtracting Polynomial Expressions)
Here they are:









Now, you may be wondering about Question #4 ...
But even if you're not, you still need to know why some people are. (including me, at first)
Mr.B got into a huge discussion over this specific question, and here's why:

55x + 30 - (22x + 20) is NOT the same as 55x + 30 - 22x + 20

And that goes back to BEDMAS.
Brackets are always first, but according to the second expression, there are none, so you solve in order from left to right.

As Mr.B said, "COMMON ERROR."

Also Mr.B taught us this:
hint-hint, PUT THIS IN YOUR NOTES.

In Question #4, where it says 55x + 30 - (22x + 20) or 55x + 30 - 22x - 20, do you understand how they are equal?



Do you know why one is positive/plus, and one is negative/minus?

Well if you don't know:

- (22x + 20)
^
that negative sign means, the opposite of everything in the brackets.
Therefore, - (22x + 20) = - 22x - 20.

If you remember, on friday morning Mr.B came into our classroom, and told me that theres going to be a lot of notes for the scribe.
So I thought, there were just a lot of minor notes, but actually, there was just one major one.
It was really confusing at first, but the more he explained, the more I understood.
Plus, everyone else's explanations (;

So that was basically all we did today. I hope you understood my work. If I have any mistakes, please comment and tell me. And if you have any other questions, feel free to ask me, or Mr.B, which ever you prefer.

And before I forget, Mr.B also assigned some homework:
Pg. 191-194 Read 5.3 Examples (Textbook)
Pg. 195 Read Key Ideas, Add to notes (Textbook)
Pg. 195 Check Your Understanding #1-3 (Textbook)
Pg. 196-198 ALL Practice and Apply (Textbook)
NO EXTEND

TEST: Either next Tuesday/Wednesday, so do your homework and STUDY (;

The next scribe will be....
ZERLINA (;

Thanks again for reading my scribe, do your homework, study, and leave a comment.
AND ASK QUESTIONS if you have any.

SMILE (:

Scribe Post for February 24, 2010

Hello 9-05! Today in class, we did many things. First of all, Mr. B asked us if we had any questions about the homework yesterday. The question was #25 from the textbook. Here it is:

a) 2w + s

b) w stands for the number of wins, s stands for the number of shootout losses

c)20-12-4=4 losses

d) 2w+s

2(12)+4

24+4

28

*Just replace the variables with the given numbers.

e) 2x5+18=28

2x9+10=28

*The combinations are for team B, and has to equal 28.

Then, we had a review about polynomials, their coefficients, variables, and exponents.

Here's a chart about that (we had to fill in the coefficients, variables, and exponents):

After that, Ms. Yoo, started us on unit 5.2. Which is equivalent expressions. But we talked about like terms first. What are like terms? Like terms are terms that differ only by their numerical coefficients.

*Variables, and it's power stay the same. Coefficients changes however.

examples:

3x and -2x

6y² and 3y²

-5xy and -2 xy

17 and 12

Here's are other examples featuring the variable x:

-1x=-x

+x= x

-x²=-x²

+1x²=x²

*Mathematicians are lazy, they don't like writing 1 in front of a variable.

Next, we had to identify like terms:

(like terms are colour coded, dark green, and blue)

a) 5b² 3bc -2b 7c 6b

b) 3x² 4xy -2x² 7x² 1/2 y

c) 3pq 11 -4q² -3 pq

Then, we were combining like terms. (the variables and coefficients are bolded, the constants are "slanted", while variables with higher power than 1 are left with regular font)

a) 4x-2x+3-6

2x-3

*4x-2x= 2x, +3-6= -3

b) 2x²+3x -1+x²-4x-2

3x²-x-3

c) k-2k²+3+5k²-3k-4

-3k²-2k-1

-Always start with the highest degree (power)

-Try to gather like terms first

After, we had to simplify like terms.

1) x²-(-3x) +4+7x²-8x-6

x²+7x²-8x+3x+4-6 (<= work should look like that)

8x²-5x-2

explanation: 7x²+x² is 8x², while -8x+3x is -5x, and 4+(-6) is -2

2) -x-5x+(-3x²)-9-2x+7

-3x²-8x-2

3) 4x³+6x²+6x-1+5x³-x²-(-9)

9x³+5x²+6x+8

That's all we did in class. Hope I covered everything. Here's the homework:

-5.2 Extra Practice

-5.2 Workbook

-2 sheets (double sided)

-journal

-textbook work (since we don't have class tomorrow because of the Tec Voc tour)

-5.2 Mathlink (Mr. B didn't assign this, so do it if you have time)

-COMMENT ON MY POST!

*By the way, Friday's scribe is Melanie (since there's no math class tomorrow)

Scribe Post for February 23, 2010

Click and enjoy :)