Showing posts with label integers. Show all posts
Showing posts with label integers. Show all posts

the great big book of Algebra

Thursday, December 4, 2008
POEM

Free verse-rules of mutiplying Integers
Sally oh Sally, this shy one
has never multiplyed an Integer
not even one.
she asked me if i knew how to do it,
i said yes dear lets get to it.
but Sally was a hopless one,
she dident want to learn, she just wanted to have fun.
But just when i thought there was no hope and was going to cry,
I decided to glimps upon the sky.
And in a split second i got a theory,
i will teach her about pratts law, so dearly!
So i told Sally if you add a negative amout of integers
that her product would be negative,
and that if she added a positive amount of integers her product
would be positive.
Oh yes Oh yes there was some hope,
I gave Sally a pen and paper and she did not mope!



Picture-Adding Integers

When you add a
negative integer and a
positive integer your
is a negative




Free verse-subtracting integers
Subtracting integers is oh so simple honey,
just think of it as useing money.
think of it as i have, i owe
now that i am done here i must go!!


Diamante-Quotative
Qoutative
how many, oposite of partative
easy, fast, correct,
makes life very easy,
memorizing, problem solving, efitient,
efitient, simple,
Quotative


Tanka-partative
partative is fun
share equally into groups
count how much you have
see what your out come is and
record it onto your sheet



The Great Big Book of Algebra

Wednesday, December 3, 2008
Integer Poetry first Chapter :

Adding Integers - Tanka :

Adding Integers,
most of the times its easy.
when the hard times come,
negative plus positive,
zero pairs comes to help you.

Subtracting Integers - Haiku :

add the opposite,
because there's nothing to it.
you never subtract.

Partitive division - Picture :




Quotive Division - Tanka :

asking the questions,
a quotitive division.
six goes into two,
just group six into two groups.
cant be in quadrant four and two.

Rule for multiplying - Free verse :

When an even amount of negative is being multiplied,
the product is always a positive.
When an odd amount of negative is being multiplied,
the product is always a negative.

second chapter, script :

combining like terms;
bella: hey edward, can you help me with something?

i cant seem to figure out this math i have been working on.

edward: oh, hi. Bella. i haven't talk to you in a while.
im happy to help you with anything. so, whats the combining like terms question?
i learned about those already, so i think i can help you.

bella: well good then. hm, the question is, n+3-5n+12?
i was working on it for a long time last night. i came up with ..
-6n +15. am i right ?

edward: i believe you're wrong bella. let me see, there is two terms only right?

bella: i think so, "n" + 5 is one term 12 +3 is another term?

edward: you're right bella. good you have already combined them together.
now we just have to add the math signs. it should look like ..
n-5n+3+12. do you think you can try answering that one?

bella: ill try. let me see. n-5 = -4n and 3+12 = 15.
if you add then together you should get.. -4n+15.

edward: you're right bella.

bella: thanks edward, that helps a lot. you've been a big help.
you're the best, sadly its getting late, i should get going.

edward: my pleasure, im always here to help.
nice seeing you again, hope you'll come back sometime.

bella: dont worry ill come back soon. see you soon.



distributive property;
bella: hey, edward are you here. i need help on distributive property.

edward: im right here bella. distributive property is what you say.
i think i can help you with that one too.

bella: excellent.

edward: okay, whats the deal with this distributive property?

bella: the question is 2+4(3n+8). i came up with 12n+10, am i right?

edward: i think you're wrong, lets see. we have to get rid of the brackets first.

bella: you have to multiply 4 by each number inside the brackets right?

edward: yes, you're right.

bella: it will look like.. 24x3n and 4x8. 4x3n=12n and 4x8=32. okay, it'll be..
12n+32+2. add the 32+2 first. which will be 34. so, i think its going to be 12n+34. right?

edward: yes, yes. very good bella.

bella: nice, thank you edward. i learned a lot.

edward: you're so welcome. im glad i can help again.

bella: anyways, i have to head home. ill come back soon.

edward: okay then, goodbye bella. take care.


third chapter, one step equation :
additive type :
subtractive type :
multiplicitive type :
D type :
fourth chapter, algetiles :

Scribe Post for November 25, 2008

Tuesday, November 25, 2008
Today in class we talked more about dividing integers. We finished our barn doors and Mr. Harbeck reviewed what we needed to have on our barn doors, to get a full marks. We needed to have at least two examples for each door and we needed to have the rule's. We also talked about yesterday's homework. Yesterday's homework was page 7 numbers 10 - 17 , we checked numbers 13 , 16 and 17 .





Today's homework is page 7 numbers 19 and 23 , and page 8 numbers 1 to 18 .



page 7 ,






page 8 ,







This is some of the homework , and if i did anything wrong feel free to leave a comment . And tommorow we will also have a quiz on what we've been doing so far. I guess this is the time for me to pick the next scribe , the next scribe is
KATRINA (:

Scribe Post

Monday, November 24, 2008
Today in class we answered the home work from last week and we also worked on our barn doors quadrant four.



Then we
had to decide if either it was a partitive division, Quotitive division or neither. Mr.Harbeck told us that if you picked Quotitive you would go to the left side of the room , If you picked partitive you would have to go to the rigth side of the room, then for the people that picked neither was at the back and for the people that didn't know went to the front of the room . Well most of the people were at the back of the room because it was neither . And in the end of the discussion all of us where convinced to go to the back of the room because you cant share a negative numbers and you cant share a negative group. And all you can do is the multiplicative inverse.



The home work for today was page 7 , from 10-17 . The next scribe is GIAN !!

Scribe Post for November 21

Saturday, November 22, 2008
Hey 8-16, I'm scribing again. And I'm going to talk about what Mr. H taught us last Friday. First he was asking where would -12 / 4 goes in the "barn doors" (barn doors are the one we have been working on for the past month. but this time we are using the white barn doors). -12/ 4 fits in the 2ND quadrant (negative and positive). Then, he asked us how to write -12/4 in a different way. You could write it by what he calls "gasinta" (means goes in to).
And another way of writing it is by a "fraction" (a number usually expressed in the form a/b).

For the past week, we were also talking about "Quotitive" (its when you make a number into equal s,and how many groups there are) for example: 6/2

And "Partitive" (its when you share the number into equal groups, and how many are inside each group) for example: 6/2

Then after that, he asked us what kind of questions can we write using "Quotitive and Partitive"
Partitive; make -12 into equal groups, how many are in each group?

Quotitive; how many groups of 4 are in 12?
Can you do Quotitive in this type of numbers? answer is no. because you cant divide a positive if there are no positives. But someone asked, why cant you use zero pairs? Because you cant put zero pairs if you have something in there, and in -12 you have something.

After that, he gave us another number to answer: -6 / -2 and asked us if we could use both "Quotitive and Partitive" but in this type of question you can only use "Quotitive". because in "Partitive" you cant share a negative with anything. Then, we have to put the integer numbers in a "multiplication inverse" -6 / - 2 = 3 : 3 x -2 = -6

Homework: on the green booklet "booger book", we have to do page 7, 1-9 but only answer the 6 question that fits for the 3 quadrants we already went through. And then draw only 3 of any questions. (the 6 questions that i thought fits are 1,3,4,5,7,8) I'm only going to show the 3 with drawings. (its 3,4,5). And we have to put if you could use Quotitive, Partitive or Both.

3. -6/ 2: "Partitive" share -6 into 2 groups, how many are in each group?


4. -5/ -1: "Quotitive" How many groups or -1 are in -5?


5. -14/ 2: "Partitive" Share -14 into 2 equal groups, how many are in each group?

If I have any mistakes, please correct me. Just give me comments I will edit it.
So, I wont stall too long, i know all of you want to know who the next scribe will be.. And the next scribe is .. (after 5 more paragraphs) ABBYJESS <3> Jessalyne (: good luck!

Charissa's Scribe Post for Nov 17&19

Wednesday, November 19, 2008
Hey guys! Sorry about the late scribe post. I will fill you guys in on what we did Nov 17 and 19.

On Nov 17th we had a substitute. We got to hear from Mr.H on how to group integer questions. There are two different ways.

Here is the first method:
In this method you group just the integers. Remember only one integer can come out of each group. And also you have to bring down the - or + sign.

Here is the second method:

In this method you group the integers with the - or +. Like I said before only one integer can come out of each group. This method is alot easier and looks better than having brackets.


On Nov 19th we moved onto dividing integers. We only got up to completing the ++ quadrant and starting the - + quadrant in our blue and white booklet.

There are three different ways you can write the division question.
Here they are:
There are two different ways to explain these. Quotative and Partitive.
Quotative:
How many groups of two?

Partitive:


How many are in each group?
The next scriber is:
EUNICE!

Scribe Post for November 13, 2008

Thursday, November 13, 2008
Today in class, the first thing we did was review the homework questions we had from yesterday. Then we looked at the Make a rule homework, and we were trying to figure out the pattern of it. We then found the rule.

This is what the paper looked like:The rule is called the Pratt's Integer Law (:
- When you multply an EVEN amount of negative integers the product is always positive.
- When you multiply an ODD amount of negative integers the product is always negative.
After, Mr. Harbeck let us have time to do our homework. He told us to do questions 13-18. These are a few examples on what your supposed to do. Your are supposed to solve your questions by grouping them together to make the question with only two integers so it is easier to solve.
Here is an example:

Here is another example.
This is my last example.


That was practically what all we learnt today.
If i did something wrong, PLEASE LEAVE A COMMENT ! thank you .
Time to choose the next scribe ..
For the next scribe, I am going to choose my bestfriend .... NICKO ! (:
GOODLUCK !

scribepost for November 12, 2008

Wednesday, November 12, 2008
Today in class we talked about MORE MULTIPLYING INTEGERS. We looked over our multiplying integer quadrants. We went over the rules of multiplying. Like (when i multiply a negative integer and a positive integer the product is negative). Then after we looked over our multiplying quadrants , he told us to do 12 questions in page 5 on the green booklet. He also told us that we had to choose 4 questions that has a (-)(+) , (+)(-) , (-)(-) , (+)(-) , numbers in it then draw pictures. After that he asked us what will be the product when u multiply certain integers together.



IT LOOKS LIKE THIS:








For the questions on page 5, i chose number 5, 7, 8, and 11.


5) (6)(-2)=-12





7) (-5)(-4)=+20








8) (6)(9)=+54











11) -12(3)= -36







That's all we did in class today, i hope u learned something. I'm sorry if there's any mistakes.

THE NEXT SCRIBE IS!!!!


MELISSA!!!hahaha...GOOD LUCK ON THE NEXT SCRIBE MELISSA....

Scribe Post for November 4, 2008

Tuesday, November 4, 2008
Today we learned about square brackets, and how to answer an integer question including them.
Here is an example of a square bracket integer question looks like:






Now how do we answer a question like this? Well, here are some things to remember:
1)Always answer the question in the brackets first
2)There should only be 1 integer in the brackets when you finish a question
3)If there are any subtraction signs to convert, convert them AFTER you answer the question in the brackets.

Here is how this question is answered:















Here is another example of a square bracket integer question:






This seems to look a bit more challenging, doesn't it? Okay well here's how to answer this question:
















Homework:
For homework we had to do part four in the green booklet (answers and work in notebook). Here are one of the questions from part four:













Another thing we had to do for homework was to do all of page 12 and pick any of the 10 questions to change them into standard form in our notebook. Here is an example of what to write in our notebook:









Okay so that's what we did today! If you guys see any errors, just let me know my commenting. I'll fix it (:

The next scribe poster I choose is .. MARC!

Scribepost for Nov 3, 2008

Monday, November 3, 2008
Today in Mr. Harbeck's class we got a new seating plan he drew our names by random and we got to sit where ever he showed us.

Now we get to the math for today, we had to do our green booklet that Mr. Harbeck gave us about 1 week ago and we had to do some parts 2 and part 3 on the next page.

We had to do learn Standard form in Integers rule and there are only 3 so here they are:

1) Never Subtract(add the opposite)
2)Regroup and Re-write
3)Have (1 +) and have (1 -)

That means in the end before you get the total you should have 1 group of positive integers and 1 group of negative integers.

Now we have our homework for today we did some of Part 2 and do the odds and Part 3 which is on the next page of the booklet. Now here are 2 questions on part 2 and 2 questions on part 3, here is part 2:

Question 3 on part 2:

8-(-4)+7-(-2)=

this is where the rules kick in to see if you are doing the process right:

So for question 3 Part 2 the answer is 21 now here is another question
Question #5 in part 2 it is:
12-(-3)+6-9
if you re-write that it should look like this:
12+(+3)+6-9=
12+3+6-9=
21-9=12
so 12 is the answer for question # 5 if you already did that question.

Now this brings us to part 3 it is a lot more confusing but its very easy if you do your steps correct, I'm going to do question 2 and question 10 so here is question #2

Question 2 in part 3 it is:

(8-11)-(4-5)=
(-3)+(-1) re-written with brackets
-3-1 re-written with no brackets
The answer is -4 on part 3 question number 2 okay now for the last question, question #10 and it looks like this:

Question 10 part 3 it is

-(-2+8)+(-3-4)=
+(+10)+(-7) with brackets
10-7 with no brackets and it equals 3

so the answer to number 10 on part 3 is 3. So that was for homework just the green booklet and also the is a quiz on Thursday about this I think so you better be prepared!!

Scribe post october 30 2008

Thursday, October 30, 2008
I will start by saying that today was a pretty easy math class but there was one main thing that I want to talk about. In class we learned how to do a math Question with out the training wheels. In the green book question two is a perfect example of this. The question is -4-3. To find the answer it helps if you say it like this, negative four and negative three. The second step is to get rid of the and and add a plus. -4+-3 is easy to find out but if you want you can add brackets. (-4)+(-3). The answer is -7.







The homework for today is in the green booklet all of part one and all the even Questions on part two.