Tuesday, February 28, 2006

today we learned about "transposing":
1. recoonize that there is a variable on either side of the = ( equal ) sign.
2.move the variable to the left (letters left ).
3. do this by canceling by zero
4. balance the integers to the right ( numbers right NR)
5. cancel to zero balance
6. solve the four colums

THAS ALLL!




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Monday, February 27, 2006

February 27 Scribe darie pasco

Bleck math class i had to be scribe...and it was kinda hard to explain what we did...but I'll try my best to make this understandable ( understandable...is that a word? oh well...) As Lara Mae said we made a folded paper thingy and it goes hamburger, hamburger and yeah i forget. Just look at Lara Mae's drawing thing that she made that i can't see but hope you guy all can.

Anyways we did " Collecting Like Terms" in box one and beside box one in a seperated box is Transposing. Now, I'll try my best to explain this good or goo enough that you can understand it...'-_-

under Collecting Like Terms

10x + 75 + 5x=110 } as you can see...there is a variable on both sides of the addition ( + ) sign. That's not supposed to happen. What you can do are 5 steps to help you. And this is in Box 3 which is right under box two.

1] Circle the first term
2] Find the other " Like terms"
3] Place the terms together
4] Add so you have one (1) of each term
5] Solve the two step

okay...here i go to explain...

1] Circle the first term
( I can't circle so i'll just change the color to blue instead)

10x + 75 + 5x = 110

There, we did step one.

2] Find the other like terms
which means to find the opposite of 5x which is -5x
so now, it'll look like this:

10x - 5 + 75 = 110

3] Place the terms together.
which is the difference of 10x -5x which everyone knows is 5x.

4] Add so you have one of each term
( I don't know what this means.. '-_- )

so the whole equation would look like this

5x + 75 = 110

5] Solve the two step

so now we can solve it. because this is just the two step equation that we learned before. simple and easy (:

5x + 75 = 110 - 75
- 75
5x = 35
5 5
x = 7

there, easy as that.

Now, the second thing is transposing.

I'll try and explain this as simple as I can.

6x + 5 = 2x + 13 } as you can see there is a variable on either side of the equal (=) sign. You can't have that. So, to take that problem out of our heads we will exterminate that. How you may ask? By doing these 5 easy steps that go on the 5th box under transposing.

1] Recognize that there is a variable on both sides of the equal (=) sign.
2] variable moves to the left side
3] by cancelling to 0
4] balance
5] numbers move to the right


and here we go...




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Great Job and extra Algebra Help

There is some great scribbing going on. Keep up the great work. If you want some more help with algebra you need to see this post.

Harbeck




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Sunday, February 26, 2006

February 24: scribe post by laramae


I never knew a math class could make my head hurt. Today we had a busy class. We did the activity that we do in each unit. This time it was algebra unit. We were given a big piece and a small piece of paper. The small paper was for us to use and the big paper is used for the group work. We do the big paper first after you copy the things that you did in the big paper to your small paper. Incase you weren't here for class, it's a hamburger, hamburger then in threes .. the refold it so its four squares across .. if you're in harbeck's class you'll know what i'm talking about. Yeah. Just to let you know we did this for the whole entire class. Well, the picture right there shows the paper that we folded and all the things in it and how it should look like .click on it to make it bigger =D hope you understand. i choose ... i dont know, i'll decide in class !




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Wednesday, February 22, 2006

Scribe for Feb.22 2006 - racquel

THE DISTRIBUTIVE PROPERTY

In math class today, we learned about the Distributive Property on which the terms, 4x, 5x, 6x ( like terms ), etc. can be combined. Terms like 8x, 2y and 3x2 (<--supposed to be read three multiplied by a number to the exponent 2, but I don't know how to make the 2 smaller) are called unlike terms. Only like terms can be combined, not unlike terms. Here is an example:


When terms are read, for example, 5(x+6), we must expand the expression and remove them from the brackets by using multiplication. Doing this is done by using distributive property.
When read, 5(x+6), it isn't solved as you can see. When these problems are unsolved, they are called terms.




Each term inside the bracket (x and 6) is to be multiplied by the circled number outside the bracket (5). When these problems aren't solved, they are called terms.

Now, we have a quiz this Friday on this. It's time you got to know this solution. =] I'm sure you all do. This class is very bright and very smart. I hope what I have typed out has been done correctly. Good luck everyone! =]





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Tuesday, February 21, 2006

February 20- scribe renee

Today in math class Mr harbeck talked about the parent quiz. The quiz for our power point presentation consist of us showing how we slove problems that have two step equations. For example:

1) 5x +4 =34 -4
-4
5x=30/5
x=6

check: 5(6)+4=24

Step 1. Isolate the variables
Step 2. Cancel the integer(s) using its' opposite.
Step 3. Balance
Step 4. Cancel what is attached to the variable. (in this case i got rid of the 5 next to the variable by dividing by 5)
Step 5. Balance
Step 6. Substitute to check

2) 6y+3=45 -3
-3
6y=42/6
x=7

check:6(7)+3=45

3) x/5+3=7 = -3
-3
x/5=4(5)
x=20

check:20/5+3=7

Later in the class he showed us something else.
Collecting like terms. These are terms that have the same variable parts and we call them terms.

3x+7x=40
add 10x=40
10/10 40/10
x=4
3(4)+7(4)=40

4x+6-9=9
4x-2x+6-9=9
2x-3= 9+3
+3
2x=6/2
x=6

You want to have 1 variable and i interger term on each side. After you have simplified.

Well. that is all we did in that class. Hope this has helped you guys in anyway. =)




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Monday, February 20, 2006

february 20 - jeffrey caraulia

  1. To day in math Mr Harbeck was talking about our ditital portfolios. In our math section we will have to make a parent quiz which consists of 11 slides. It is were we have to become the teacher and teach our parents how to do the things we do in math. The first slide will consist of a question with exponents. The second slide will show what exponents are, in expanded instead of the short form. For example 3 exponent 4 would be 3x3x3x3, and then show them how to slove the problem. The slide is where you teach them 1 step algebra, for example x+6=20. And for the fourth slide it will be a hint slide which consists the steps to figure out the equation (Steps are to: 1)Isolate the variable, 2)cancel using the opposite, 3)balance and then 4)substitute to check. for the fifth slide it will have another algebra question where the parent answers it using the hints. And then on sixth slide it has another equation. Then on the seventh slide it shows how they got the answer. And when your parents say " Thats so easy!! is this all what your teacher is teaching you?!?!". then they read slide eight where it says something harder with a 2 step equation. On slide nine it will tell them the rules of second step equations which is to: 1)Isolate the variable, 2) cancel the integer first , 3) balance, 4) cancel what is attached to the variable, 5) balance, and then 6)substitute to check. On the tenth slide there would be a 2 step equations where your parents have to answer it. And on the last slide which is the eleventh slide is a link to your class bolg.

Collecting like terms: terms that have the same variable parts called liek terms. As some of you my notice the thingy below is the same as Junnels, well that is because both of us worked on it since were both scribes for today =).





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Monday, February 13, 2006

February 13- scribe arielle

Today in class we had Mr. Bartz as a substitute. He assigned us part B on page 38 in the chapter 4 booklet (the "seal booklet"). Then he gave us a sheet which is number 6.8. It involves solving equations in more than one step. Here are 2 examples:

Question number one:

5x+4= 34 -4
-4
5x= 30
30/5=6
x=6

CHECK:

5x=30
5(6)=30
30=30 YAY! BOTH SIDES ARE EQUAL THEREFORE IT'S BALANCED AND CORRECT!

Step 1. Isolate the variables
Step 2. Cancel the integer(s) using its' opposite.
Step 3. Balance
Step 4. Cancel what is attached to the variable. (in this case i got rid of the 5 next to the variable by dividing by 5)
Step 5. Balance
Step 6. Substitute to check

Now let us apply the exact same steps to one more question..

Question 13:

x/5 + 3 = 7 -3
-3
x/5= 4
x/5= 4(5)
x=20

CHECK:

x/5=4
20/5=4
4=4

HOORAY! ONCE AGAIN BOTH SIDES ARE EQUAL, THEREFORE WE SUCCESSFULLY ANSWERED THE QUESTION CORRECTLY

Well that was all that we did today. Hope that this will help those that are having trouble with this section. REMEMBER! we have a test next math class so remember to study STUDY STUDY!! So long!




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Sunday, February 12, 2006

feb.8th scribe } laramae

1 Step Problem Equation Solving and 2 Step Problem Equation Solving
Today, aga
in, like other days we did our daily routine. First we did a warm up, which is problem solving. Next we came to the main part of our class, Algebra a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic. Today we had to do 1 step problem equation solving. The 1 step problem solving process the first picture. Doing this process makes your problem easier and less pain for your brain. After all the discussion we were given assignments that helped us understand the 1 step problem solving. We did it till class ends. We had a sandwich day meaning we get to see Mr. Harbeck for two classes. I dont know if it's a good thing or not, whatever you say. So that was the first class. 55 minutes of social studies... and we're on for the second math class. This part of the class was the same as the first class but we learned 2 step problem solving. There is also a process just like the 1 step problem. It's up there ^ 2 step problem. After all the talking mr. Harbeck gave us homework ! .. hah ! it's all good. We were working on it for the rest of the class. Well some of this is all new to me but mostly all of it is familiar. It was like a reviwe but to other people that don't know this is a great way of finding it out. This material can be really easy for alot of people but for some not really so that's why we have a blog right ? to learn and help each other. Sorry Mr. harbeck i don't post much = [ but my brother is busy doing his math blog too, so i can't use it. But hey he's out today ! lucky for me =D

To conclude, we learned a whole lot that day because of the double class. Understanding algebra and equations isn't that hard as long as you focus.

and arielle you're up next!








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My Scribe

Algebra ala Harbeck
We learned how to do one step equation solving.
Here are the steps
1. Isolate the variable.
2. Cancel using the opposite.
3. Balance
4. Substitute to check your answer.

x + 8 = 10
- 8 = 10 - 8
x = 2
2 + 8 = 10

The next scribe is Blaze.




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Wednesday, February 08, 2006

Lost Algebra

I created a post on the weekend all about the algebra you are doing. I am reposting it for your amusement. Please complete as much of this as you can and leave a comment behind about how you did.

Remember me Grade 8’s. Since I have been gone …only two days you must be missing me. Even if you are not missing me here are some excellent links to reinforce your learning.

The foundation to understanding algebra is to know integers. Here are two links that will reinforce what you need to know.

Try this Integer Quiz. If this is not familiar to you remember your order of operations and try again.

From this link you can see a movie on adding and subtracting integers. It is well done. If this link does not bring up the movie immediately click on the adding and subtracting integer link on the page.


Your first algebra lessons are dealing with words like term, variable, expression and equations.


Here are some helpful resources for you.
Extra help words to expressions
Extra help on variables and expressions

Here are three quizzes to see how well you did.

Substitution algebra
Solving Equations using Addition or Subtraction
Solving Equations using Division or Multiplication

Remember Leave comments to tell me how you did.

Harbeck




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New Problem Solving

Try some open ended questions at our new problem solving blog.

Taking Math to the next level

You may leave full or partial answers as comments. Up to 20% of your final exam will be problems like this.

The only wrong answer in math is NO ANSWER Try one try them all.

Harbeck




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Scribes???

Being a class scribe is a serious responsibility. You need to recapture the class for that day and post it for all to see.

As Richard has said in his posts

” The purpose of a scribe is to inform the reader what your doing and by doing so you relearn what you learned that day making you just a bit more smarter. Also if the reader reads the scribe then they also relearn. To think about it. Scribing is all about learning and learning… etc.”

Try to scribe or comment daily.

Date

8-16

8-17

8-41

8-73

Jan 30


Norielle

Kale

Micheal H

Jan 31

Dhona

Korina

Tyler

??Hayden??

Feb 1

Yvanne

Myla

??Aries??

Aldrin

Feb 2

Annalyn

Marjoy

Dion

?John?

Feb 3

Marylou
Sheenqui

Dilly

??Sean??

Feb 6

Rose

Rebecca

Kim

John pt 2

Feb 7

Blaze

Alex

Josh

?

Feb 8

Lara

?

?

?

Feb 9

?

?

?

?


Post soon, comment often

Harbeck




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Friday, February 03, 2006

february 3 scribe post

toady we had mr.pointon for math again today. this math class we corrected some of the questions on the 5.1 variables and expressions sheet.
mr.pointon helped explained the stuff on the sheet, like some of the questions on the sheet were putting the words into algebraic expression (a question with sybols, or something like that)
for example:
one of the questions were,
the width plus twelve= the answer would be, w(or any other symbol) + 12
because the w, or a symbol would stand for the width, and it's asking for the value of the width plus 12. we dont know the value of the width, so thats y we use a symbol.

another question was turning the algebraic expression to words. an example for that would be:
4h - 6= the answer would be a number multiplied by 4 desceased/subtracted by 6. thats how it would be because when a number is beside a variable (letter or symbol) it means to multiply. and the h, would stand for a value of a number and you would multiply those two together. then it's asking you to subtract or decrease it by 6. so thats y a number multipled by 4 decreased/subtracted by 6 is the answer

me.pointon also hepled us with the expressions and helped us with solving them
for example:
24 - 3t ; where t= 6
1) first you would do the brackets, since there aren't any, u do exponents
24 - 3(6), you would change the t into a 6, since t= 6

2) then you do multiplication or division, which ever one comes first
24 - 18, it becomes an 18 because you multiply the 3 and the 6 and the answer is 18. you multiply those numbers because when you have a number beside a brackted number you multiply those 2 together

3) after you do addition or subtraction, and like the multiplication & division, you do the one that comes first.
24 - 18= 6

the whole question would look like this:
24 - 3t ; where t= 6
= 24 - 3(6)
= 24 - 18
= 24 - 18= 6

We also did a sheet on changing the words to an algebraic expression,
e.g: a number increased by 5= X + 5
we had to do that sheet for homework

well i think thats all i guess, i hope i did this right =D




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Look I’m back

Sorry I haven’t been commenting or visiting lately. I’ve been crazy studying for exams… But now that Second Semester has started at Daniel Mac. I’m back. Hahaha. Now that I have seen that you guys are scribing. There are some excellent scribes going on and I assure you they will get better. You just have to push around each other on the blog. That’s the evolution of a blogger right there. You guys have to compete with each other to see who’s the best blogger out there. Hahahaha.

There are plenty of Examples of scribing.

Super (Secret) Scribe

Scribe or What

Scribe

Scribe Scribles

Yeah there all from the PC30S blog. Hahaha. Well you see. The purpose of a scribe is to inform the reader what your doing and by doing so you relearn what you learned that day making you just a bit more smarter. Also if the reader reads the scribe then they also relearn. To think about it. Scribing is all about learning and learning… etc.

So keep those scribes coming. And here’s a tip. Like in the examples that I posted. Try to use photos to make your scribe look even more better. Hahaha

Ricky Out.




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Thursday, February 02, 2006

Annalyn's Scribe

Today we learned about combining multiplying with addition and subraction. This means, we combined the use of multiplying integers with addition and subrtaction. There are another set of 3 rules that you can follow....
Step 1: Box all of the multiplication *include chaperones or extra - or + signs.
Step 2: Multiply all in the box and get 1 integer per box
Step 3: Put them together and solve

Example:
(2)(-3) + 2(-3) - (6)(1) + (3)(4)=
[(2)(-3) ] + [2(-3)] - [ (6)(1)] + [(3)(4)] =
-6 -6 6 12
= -18+12= -6

This is multiplying with addition and subraction...

Algebra:

Algebra is just like all that stuff we did last year.. it's practically a review =)

Remember a variable is the unknown quality; x+2= ...... x is the variable
An expression is x+2 with no equal sign!
An equation is x+2= ...... it has an equal sign!
A co-efficent is 3x+2=.... the 3 is the co-efficent because it is infront of the variable
A constant is x+2 ...... 2 is the constant because it will always be the constant number that appears in the equation or expression
Substitution is replacing the varibale with a given/known quantity.
Example:
4x; where x is 4
= 4 (4)
= 16

Translation means translating math to english words, it is best known to use + as add or increase and - to be used as subtract or decrease.
Example:
x+9 ; is a number increased by nine
6x-8 ; is a number multiplied six times decreased by eight.

This stuff is so easy! Mr Pointon taught it to us last year.... you could only remember if you were paying attention! =)

Tomorrow's scribe is.... Marielou!!!!! Good Luck! =)




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Help the scribe

Some advise to bloggers. You need to be prepared to put a post up to the blog. People are counting on you to keep the scribe alive. If you are having difficulty post a blog and then go back in and edit the scribe.

To the scribes fellow classmates, If the scribe needs to have information added to it, post comments and add information you think will be helpful.

You all are doing a great job. I miss being at school. This is my link to you right now. Keep me informed and I will add comments if I can.

Keep scribbling.

H




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Wednesday, February 01, 2006

February 1 2006 Scribing

Hey everyone, I'M BACK! Miss me?? Well, 1st day of February and we learned something new didn't we?? Well yesterday Dhona made a great post on what you guys learned on Adding and Subtracting Integers with brakets (thanks for taking over) and todays lesson was about Multiplying Integers with these brakets ( ) :

First of all...we're in grade 8, a whole different level compared to grade 7...which also means we must do it in a different and much more advanced way.

In elementary we would be doing : 3 x 3 = 9
In Junior High now it has to be either : 3 (3) = 9 or (-3) (-3) = 9

Now you guys probably noticed something familiar in (-3) (-3) .... yes they're both negative numbers...yet the answer is positive!! A Mr. Pointon rule from grade 7 was ...... "if it's the same sign you multiply and it becomes positive, if it's different signs you're answer would then become a negative" Yet this is to difficult for other questions.... and so Mr. Harbeck shared with us in class an easier formula to these kinds of equations.... "firstly just multiply the numbers as is, secondly you must count the negative signs and if the amount is an even number...the answer should be a positive...if the amount is an odd number...the answer should be a negative.

If you guys don't get that yet here's an example:

(-3) (4) (-2) (-1) =_________

1) multiply them as is: 3x4x2x1 = 24
2) count the negative signs: (there are 3 negative signs )
3) PUT IT TOGETHER!!! ..... -24

Get it? See how simple and easy it is?? Well I hope I got to share with you my understanding of what we learned in class and I hope I have helped you understand this better =)

-dandan, yvanne =)

oh yeah....hmm...who should be our next scribe...it's hard to choose..i don't know who else besides me and Dhona who do blogging...hmmm...i say i'll give it to Annalyn...don't worry i'll note her up on this.




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