Kathleen's Scribepost for February 16, 2011

Multiplying Binomials by Monomials

Today, we started out with an equation to solve.

- ( x + 7 )

How to solve:

= -1 ( x + 7 )

= -1x + (-1)(7)

= -x -7

Next equation:

2(3x + 4)

Solve:

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

= 6x + 8

This is called distributive property.

The trick to answering an equation is to look at the signs very carefully.

Signs will always confuse you.

(-)(-) Two negatives makes a positive.

(-)(+) One negative makes a negative.

(+)(+) Positives makes a positive.

Example:

-2 ( 3x - 4 )

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

= -6x - 8

2x ( 3x + 4 )

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

= 6x ² + 8x

Another way to write this is:

(2)(3)(x)(x) + (2)(4)(x)

Which equals the same thing.

Now a model can be shown:

Another equation is:

-4x (2x - 3y +5)

= -4x(2x) + (-4x)(-3y) + (-4x)(5)

= (-4)(2)(x)(x) + (-4)(-3)(x)(y) + (-4)(5)(x)

= -8x ²+ 12xy -20x

Now one more step is missing; which is the equation has to be in alphabetical order for final answer.

= -8x ²- 20x + 20xy

Homework:

Read pages 264-268

CYU 2 & 3

Practice Odd or Even

2 Apply

Extend - 19 & 20 or 20 & 21

Homework Book 7.2

Extra Practice 7.2

Kenneth's scribepost for February 14 2011

Hello classmates :) This is in period 3 Day 1 cycle Math on February 14 2011

Multiplying and Dividing Monomials

Today Mr.Backe gave us a question when we were seated. His question to us was

- (6x +7)

- notice that the "-" is spaced out because right there is the "1" beside it, You just don't see it but its there because mathematicians are lazy and they leave a space beside the "-" and the bracket.

Also notice that this is a binomial question because you'll be doing this on a quiz I think.

- (6x +7) = -1 (6x+7)

= -1 (6x) + (-1)(+7) (second step)

= -6x -7

Notice the (+) is placed there as well as (-1) at the second step. It was put there because you know that by doing the first step the (-1) stays the same because your adding the +7 and that is why -1 is beside +7 (hope I explained it well enough for you guys to know).

The "+" is moved down to the second step because your adding the other side (I also hope I explained it well). (-1)(+7) multiply each other just letting you know and the "-" stay "-".

The third step is the answer because the -1 and 6x "fuse" together to make up a -6x and -1+7 equal up to a -7 so yea the answer is -6x -7. That is called Distributive Property which you learned but I'm typing it down anyway so yea.

Distributive Property means that we distributed the negative one over both terms of the binomial.

More questions Mr.Backe gave us and that we learn how to do it is 2 (2x)

The 2 (2x) means that you have "2" groups of "2x" meaning those tiles, but I cant draw or computer it because I don't know how you guys would see it, but I'll give out the answers

2 ( 2x) = 4x because your multiplying them

More questions Mr.Backe gave us which took us an easy time but sometimes hard for others like Asham just kidding. Just giving the answer.

-3x (2x) = (-3x)(2)(x)(x)

= -6x squared

2(2x) = (2)(2)(x)(x)

= 4x squared

3x(2x) = (3)(2)(x)(x)

= 6x squared

-3x(-2x) = (-3x)(-2x)(x)(x)

= 6x squared

Exact procedure but different statement.

Mr.backe added a "y"

(2x) (2y) = (2)(2)(x)(y)

=4xy

your just adding in the "y" variable

(2xy) (2x) = (2)(x)(y)(2)(x)

notice that I'm doing it in the exact order and now your finding "like" terms

= (2)(2)(x)(x)(y)

= 4x squared y

(3x) (3xy) = (3)(x)(3)(x)(y)

= (3)(3)(x)(y)

= 9x squared y

Now its negative 2

(4xy) (-2xy) = (4)(x)(y)(-2)(x)(y)

= (4)(-2)(x)(x)(y)(y)

Notice that I'm highlighting the 4 and negative 2 because the negative sign stays the same even if the 4 is a positive (hard to explain) -_-

= -8x squared y squared

Mr.Backe taught us how to divide polynomials and this is the question he gave us

6x over 2 = 3x, In order to find that answer you gotta do this,

Start with the question, 6x over 2 then you use the procedure (which I mentioned)

6x over 2 = 6 (x) over 2 (x) Multiply them and you get 3x squared but you can just basically cross the answer and the denominator to get the original number (6x)

Here's an easy one Mr.Backe gave us

6x squared over 2x

= 6x(x)(x) over 2(x)

= 3x

9x squared over 3x = 9 (x)(x) over 3 (x)

= 3x

Your dividing the number and your crossing out one "x" leaving out one x in 9, the denominator is the same so its 3x because 9 over 3 is 3.

HWBK

-Get Ready

TxtBook

-7.1

-p.253-259

-cyu #1+2

-extra practise 7.1

-self check ALL OF IT!!!!!!!!!!, oh and don't forget to do them in case you missed what's yesterdays homework.

If I have made any mistakes please correct me

Next scribe is John Pangan ! :)

Alex`s scrbe Post for January 26/10

For Math today, we got a few problems to do.
1.A banquet hall charges $100 for the hall and $20 per person for dinner.
(a) Create an equation to model the relation
This equation would be c=100+20p because there is $100 plus the $20 and p is for people.
(b) Complete the table of values
l
After it is completed it should look like this because when you use the equation, depending on the number of people, you multiply however many people there are in the column at the end of the equation to get the total cost
.
(c) Graph the relation

This is the first graph before I graphed.

This is the graph once I have graphed the points from the table.
(d) use the graph to determine the cost of 22 guests.

I put points in between 20 and 25 to get to 22 and then I made a line going up to the line that connects all of the points, and then I made the line go to the left to see the total cost of 22 guests which is $540.
(e) Verify your answer to (c) by using the equation to calculate the cost of 22 guests.
c=100+20x22
20x22=440
440+100=$540.
(f)How many guests could you pay for with $1100?Use extrapolation or the equation to arrive at your answer.
We are going to use extrapolation, the equation, and a chart the show the answer.
First, we will use the equation.
c=100=20p
1100=100=20p
1100-100=100-100+20p
1000/20=20p/20
50=p
Second, we will use the table.

And third, we will use extrapolation.

It shows that 50 people would equal $1100 by following the bold line.
The homework is read pages 220-225, cyu#1, practise c/e, apply any four, extend any 1, and do 6.2 in the homework book.
Sorry that the graphs are not just like the ones in the worksheet.
The next scribe is Kenneth

Hello fellow classmates, this the blog for January 20, 2011.

As you know we received an assignment on making charts for the outrageous flower costs. We did these charts and realised that something was wrong. The rate seemed to go down like a slope instead of going up.This was called a negative slope. Negative Slope refers to a mathematical formula rise. Y going up and x going across.
over
(0,10) (8,2)
x, y x, y going down by 2 and moving to the right by 1. so this would make -2 divided by 1. -2. So the negative slope is -2.

Next we learned about the equation y=m x + b
m being a slope, and b the intercept of when the rate Finally wher y intercepts the origin.( 0 ).

Here is the rest of the work we did: y = 5 over 2 (x) + 20
y= 5 over 2 (1)
2 y =5x 37
2y = 32 -5x
2y = 37 - 5 (1)

2y over 2 32 over 2 y = 16

Linear Relations Jan.19.2011

Hey guys so Today in class we learned about Linear Relations ...

1) The first thing we did in class was copy some words down so if you didn't get these words here are all that we wrote during notes...

coefficient

variable

constant

linear relation

linear equation

interpolate

extrapolate

2) So the next thing we did was do some questions that Mr. Bake gave us and the questions were about the flowers (red roses, pink roses, and carnations) and we had to spend all of the money to figure out how much flowers we would get at the end and how many possibilities we could do differently...

All flowers and No change all money has to be used

1. pink roses $2.00 carnations $1.00 and you only gotta use 10 dollars

So there were 6 possibilities for this answer and here they are...

Pink roses Carnations Money

5-0 10

4-2 10

3-4 10

2-6 10

1-8 10

2. red roses $5.00 carnations $1.00 and this time you only gotta us 27 dollars

So there were also 6 possibilities for the answer and they are...

Red Roses Carnations Money

5- 2 27

4- 7 27

3-12 27

2-17 27

1-22 27

0-27 27

3.red roses $5.00 pink roses $2.00 and you only gotta use 37 dollars

So there were only 4 possibilities

Red roses Pink roses Money

7-1 37

5-6 37

3-11 37

1-16 37

So you can see that when you look at these 3 questions there is also a pattern in them because in question 1 you can see that the graph is ascending and descending orders and they go up by 2's and down by 1's....

For question 2 the pattern is going up by 5's and going down by 1's

For question 3 the pattern for this question is that is it going up by 5's and down by 2's

.... So yeah here is what we did in class today and just a REMINDER that you guys gotta hand in your stash-it on Friday to make any changes ( i think) and the computer assignment with :

Words

Definition

Picture

Example

Non-example

AND!! for homework you guys gotta finish the graph Mr bake gave us!!

Well since no one or I mean sometimes people who do the scribe maybe will be chose tomorrow I guess but yeah thanks for reading my scribe post!!

P.S please correct me if I made any mistakes but anyway see ya!!

Raquel's Scribepost for January 6 2011!

Today, In math class Mr.Backe gave us some words that we have to find the definitions for
- Coefficient
-Term
-Variable
-Polynomial
-Monomial
-Binomial
-Trinomial
-Degree of a Term
-Degree of a Polynomial
-Like terms
-Algebra

We also learned about " like terms. "
Examples:

There are other examples.. but they take to long to do..

We learned what to do with monomial, binomials, trinomial with a chart:

-The chart is kind of ugly.. sorry. Remember to do your homework!!

Kathleen's Scribepost for December 10, 2010

Today in math : Classifying Triangles

HOMEWORK 

4.3 Extra Practice 
Textbook ; Practice and Apply ODD OR EVEN, Extend 18 and 20. 
Oh, sorry for all the pictures and not much words. Just got lazy with paint. SORRY! 

AND I PICK PAULO FOR THE NEXT SCRIBER. HAVE FUN. 

Raquel's Scribepost for December 9th

Today in math class, we learned about Similar Triangles.
We learned terms like congruent. Congruent has a symbol that looks like:

Congruent means, Identical in shape and size.

We also learned the term similar. Similar also has a sign which looks like:
Triangles are similar if:

• Two pairs of corresponding angles are congruent
• Three pairs of corresponding sides are proportional
  

- Each vertex is a upper case letter and the opposite is a lower case letter.






A formula that you can use is:

OR


Example:














That`s pretty much it for what we did in math class. Tell me if I forgot anything and please leave a comment if you actually go on here and read it and if you can`t see the picture just click on it.
- Raquel. :)

BTW......
HOOOOOMEWORK
-go to www.spmathgr9.blogspot.com
-read similar and congruent triangles
-apply and practise. Odd or even.

NOOOOOW, I`m done and sorry I know i posted it up late. :S

John's Scribepost for December 5th,2010

Sup guys today in class we talked about scale and scale factors.
The first thing we did was this:

Scale : Proportional Reasoning

Image : Actual

Then we did a problem is was:

A B Aprime Bprime
1 : 7 X : 23.5

But before starting with the question Mr.Backe
explained something about where the primes should go and where they shouldn't go.

Works: A/Aprime = B/Bprime

Doesn't Work: A/Aprime = Bprime/A

Then we started on the question

1 : 7 x : 23.5

1/x = 7/23.5 so you would cross multiply the numbers so 7 multiply x equals 7x
so you would put it like this.

7x/7 = 23.5/7 then 7x/7 would cancel each other out so you would divide 23.5 by 7 and your answer will be 3.36
X=3.36

After we were done talking about that question we did another

2 : 3 11 : x

2/3 = 11/x so as the last question went you would multiply 2 by x which would equal 2x and 3 by 11 which would equal 33. So the format would be like this

2x/2 = 33/2

2x/2 would cancel each other out and you have to divide 33 by 2 to get your answer of 16.5.
X=16.5 Mr.Backe said it was called By Inspection.

After finishing more questions we reviewed the

mm cm dm dam hm km
mi ci di 1000 deca heca kilo
1000000 10000 m 100 10 1
100000 l
g

Then Mr.Backe asked how many 1cm would you need to reach 10km and the answer was you would need 100000 1cm to get the 10km.

Then Class Ended.

Homework:
Read 4.2 139-142
do SYK
CYU 1-3
Practise: odd or even
Apply: 13-16 or 15-19
Extend: 20 and 21 or 21 and 22 (you have to do 21 for sure)

TEST ON WENSDAY ON SCALE AND SCALE FACTOR

If I got anything wrong tell me so I can fix it!!!

JOHN!

Krystal`s Scribe for November 9th 2010.

SUUUP. I got picked to do the scribe today :)

In class, we basically just took notes about "Things You Need To Know". Here are the notes.

Signs,signs,everywhere. Signs....
-In mathematics we follow a certain order to be able to get the same answer. Order is usually devoted by certain symbols that help us get to the same answer all over the world. BEDMAS.
B=brackets= [ ] , { }, ( ).
E=exponents
D=division (multiplication)
M=multiplication (division)
A=addition (subtraction)
S=Subtraction (addition)

Sometimes it`s PEDMAS. P= Paranthesis.

-3.6-2.8-2=
-3.6-(2.8-2.1)=4.3 <---BEDMAS Other Confusing Signs: -When brackets kiss. () ( ), it means to multiply. -A bracket around an integer or any rational number does not necessarily mean, "do me first"
(-3)=6.7=
6x7 6.7. A dot between numbers can also mean multiplication or a decimal, it depends on the dots position.
6.7=multiply 6.7=decimal <--Fail, sorry I didn`t know how to do the thing.

When is a Negative Number, Negative ?


12-(-4/5)=17 4/5
6-[-(-3/-4)]= 6 4/3 = 7 1/3
12(-4/-5)=11 1/5

1=(-1)(-1)(-1)(-1)
-1=(-1)(-1)(-1)(-1)(-1)

All or Some ?
2.3 squared = 36 or 18 ? Answer:18 = 2.(3.3) 9.2=18

(2.3)squared = 6 squared = 6.6= 36
-1/4 + (2/3)= ).43 < decimals or fractions ?

FOR HOMEWORK MAKE SURE YOU FINISH 2.3 AND 2.4 FOR MONDAY !!!!!

next i pick... uhh Faye I guess.

John's Scribe Post For November 4th, 2010

Hey guys

Last class Mr.Backe assigned me question 24 in section 2.1 page 58.

Question: Give an example of a fraction in lowest terms that satisfies the following conditions.

A) Greater then 0, with the denominator greater than the numerator.

Answers: 1/3 or 2/5

B) Between 0 and -1, with the denominator less then the numerator.

Answer: for this answer I had a really hard time with so I looked at the back of the book. 3/-4

C) Less than -2, with the numerator less than the denominator.

Answer: -8/4

D) Between -1.2 and -1.3, with the numerator than the denominator.

Answer: 4/-3.

If anyone can explain question B it would help and if I got anything wrong tell me.

-JOHN!

Raquel's Scribepost for November 4th

QUESTION #17 FOR 2.2

• TWO wooden poles measured 1.35m and 0.83m in length. To make a new pole they were attached by overlapping the ends and trying them together. The length of the overlap was 12cm. What was the total length of the new pole in meters.

- For this question all I really did was add 1.35m and 0.83m and subtracted the results with 12cm.



Yeah, that's mostly it. Sorry, I didn't get enough time to take some pictures.

Karra's Scribe Post for November 4, 2010

2.2 - Text Book
Question: #16

Bella is more comfortable working with integers than with positive and negative decimal numbers. This is her way of understanding -4.3 + 2.5 .

-4.3 is -43/10 or -43 tenths

2.5 is 25/10 or 25 tenths

-43 tenths + 25 tenths is -18 tenths

-18 tenths is -18/10 or -1.8

So, -4.3 + 2.5 = 1.8

A ) Use Bella's method to determine 6.1 + (-3.9).

B) How could you modify Bella's method to determine 1.25 -3.46?

This is how you do the practise 2.2 question 14 in the textbook.

The question:Saida owns 125 shares of an oil company. One day, the value of each share dropped by 31 cents. The next day the value of each share rose by 18 cents. What was the cahnge in the value of Saida's shares?

The solution : Lets say each share is a dollar. now it drops by 31 cents. Its value is now 69 cents. Now we add 18 cents. We have 87 cents. Then we have to figure out what the value change would be now for one share. A share has dropped by 13 cents. Times 13 by 125, or you can do it a simpler way by times by 5 first to get 65 cents . Times by 5 again to get $3.25. Times by 5 one more time to get the final answer $16.25.
The Answer :The total value change of Saida's shares altogether dropped by $16.25.

Ezekiel's Scribe post for November 4, 2010

Question #22
An aircraft was flying at an altitude of 1950m. It descended for 3 min at 2.5 m/s and then descended for 2.5 min at 2.8 m/s. What was the plane's altitude after the descent?

The plane is descending for 3 minutes at 2.5 m/s

1 minute has 60 seconds so 60 x 3 = 180

Then you multiply 180 by 2.5

180 x 2.5 = 450

now u can subtract 2950 by 450

2950 - 450 = 2500 m

now the plane is descending down for 2.5 minutes at 2.8 m/s

multiply the 60 seconds by the minutes going down
60 x 2.5 = 150

now times the seconds by the m/s which is 2.8

150 x 2.8 = 420

now subtract 420 by 2500

2500 - 420 = 2080 m
The altitude of the plane after the descend is 2080 m

Harvey's Scribepost for November 4, 2011

2.2 Apply, Question 21, page 61

Andrew drove his car 234 km from Dawson to Mayo in Yukon Territory in 3 h. Brian drove his truck along the same route at an average speed of 5km/h greater than Andrew's average speed. How much less time did Brian take, to the nearest minute?

If we divide 234km by 3h, we should get the km. We need to get Andrew's average speed because we need it to find out how long Brian took to reach the same distance.

78=234/3

So Andrew drove his truck at 78km/h.

We know that Brian drove 5km/h faster than Andrew, so he would have driven at 83km/h.

To find out how long he drove, we divide 234km by 83km.
2.819277108=234/83

Round.
2.8=234/3

Brian drove at 83km and took 2.8 hours.

We need to know how much more faster Brian was compared to Andrew. To do that, we convert the hours into minutes. To do this, multiply the hours by 60 minutes.

Andrew:
180=60*3

Brian:
168=60*2.8

Then subtract, and we have our answer.
12=180-168

Brian was 12 minutes faster than Andrew to reach the same distance.

Kathleen's Scribepost for November 4, 2010

2.2

Question #12

A pelican dives vertically from a height of 3.8 m above the water. It then catches a fish 2.3 m underwater.

a) Write an expression using rational numbers to represent the length of the pelican's dive.

b) How long is the pelican's dive?

a) Answer will be a rational number or integer cause the question asked to write an expression using rational number.

3.8 - (-2.3)

3.8 is positive because it's above water and -2.3 is negative because the pelican went underwater.....like descending.

The answer is a positive because the subtrahend is much bigger than the minuend.

b) The pelican's dive is about 6.1 meters long.

Kenneth's Scribepost for November 4, 2010

Mr.Backe Assigned to me #19 pg53 of 2.1 fo

r scribe so yea I got the easy one.

Anyways I'm going to show you the answers for #19 (For those who either did or didn't do their homework) as well as the questions I'm about to show you.

Comparing and Ordering Rational Numbers

19. The table includes the melting points and boiling points of six elements known as the noble gases.

a)Which noble gases have a melting point that is less than the melting point of argon?

Whats less than the melting point of argon

is Helium and Neon

b)Which noble gases have a boiling point that is greater than the boiling point of krypton?

What's greater than the boiling point of krypton is Radan and Xenon

c) Arrange the melting points in ascending order.

-272.2, -248.67, -189.2, -156.6, -111.9, -71.0

d)Arrange the boiling points in descending order.

-61.8, -107.1, -152.3, -185.7, -245.92, -268.6

If I got any Errors Please Correct me by commenting xD and sorry for not putting coloring in because it wont let me -_- and yea I don't know how to make my picture big

Celdrick's Scribepost For November 1, 2010

CONVERTING DECIMALS TO FRACTION



Converting decimals into fractions is really simple.
Just follow my steps....

Let's try converting this number to fractions.
0.8 repeating.

0.8 can be shown as what ever you like. But I'll use x.

x=0.8 repeating.

Step 1.
Convert the decimal into a whole number and multiply it by ten because it's in the tenth place.


Step 2.
Subtract the 8.8 to the 0.8.

Step 3: Get rid of the decimal.
To do that you need to divide 9x to 9.

Step 4. Put the 9 below the 8.

Step 5. Try to convert it into a smaller fraction.












Now lets try to convert this decimal number to a fraction.


X=0.08 repeating.

Step 1.
Convert the decimal into a whole number and multiply it by one hundred because it's in the hundredth's place.


Step 2.
Subtract 8.88 repeating to 0.08

Step 3.

Get rid of the decimal.
To do that you need to divide 99 x to 99 and whatever you do to one side you do it to 8.8 too.

Step 4. Convert it into a whole number
8.8 x 10
99 x10

Step 5.

x= 88 over 990...CONVERT!!! 8 over 90 is the answer. So..... x=8 over 90.






Thanks for reading my blog...Don't forget to comment and do your homework. CLICK ON THE PICTURE TO MAKE IT BIGGER!

Krystal`s Scribe post for October 19 Post.

Today in class, Mr.Backe gave us 7 questions to answer. He gave us time to work on each individual question. The questions were about grouping numbers, putting numbers in order, decimals, fractions and the representation of math signs.

Question 1: I didn`t get a chance to write this question down.

Answer:--

Question 2: Write the following in ascending order : 6/7, 0.8, 0.666..., 13/14

Answer: 6/7 = 0.857. 13/14=0.928.

0.666, 0.8, 0.857, 0.928

Question 3: Name a rational number that is not an integer.

Answer: 1.5 , 2/10 , 0.2, 1/5 . There were many other answer. I just chose 4 random ones just to show.

Question 4: For this question, we were given 2 points on a number line. We had to determine the number it was at.

Answer : 3.3(blue) 5.5(black) Estimates.

Question 5: 0.625 < ?/8. Which number will make this statement true?

Answer: 6,7,8,9,10,11,ect. Nothing below 6.

Question 6: Number 6 belongs to which group(s) of numbers?

Answer: Natural numbers, Irrational numbers, Whole numbers, Integers, and Rationals.(not really sure if that`s right)

Question 7: Name a rational number equivalent to 5/25

Answer: 5

Todays homework is :

Textbook 2.1. The whole chapter.

Workbook 2.1. The whole chapter.

Extra Practice 2.1

Self Evaluation : Only the first column

Sorry it`s really late !!

The next person I pick for a post is ..... PAULO !