Monday, July 31, 2006

Hello

If anyone's reading this, and I doubt anyone is, I'm hoping you guys have a great summer. I was bored, so I decided to post this. Bye.




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Thursday, June 08, 2006

Tear's Growing Post for June 6th



Question 1:

Formulas. We’ve learned how to write algebraic equations in the form of mx + b = y. Convert these two sentences into algebraic equations using the above formula.

m- This is the coefficient.
x- This is the variable.
b- This is the constant.
y- This is the answer or the solution of a formula.

Coefficient - Is the number that is teamed with the variable and in this case the variable is x.

Variable- Is the letter that represent numbers. They vary in that we can substitue a variable for one or more numbers.

Constant- It's value never changes in an expression.

Sentence 1:
Scott is 2 years older than Donald who turns 12 on June 21st 2006. Write this sentence in the format of mx + b = y, then convert it into an expression which allows us to figure out the age of Scott.

Solution:

Donald + 2 = Scott
D + 2 = S
11 + 2 = S
13 =S

I color coded my solution so it's easier to understand. Donald's age is in green and Scott's age is in purple and the black number is the constant. Donald's age is my starting point.

Donald's age is 11 because he didn't turned 12 yet and the problem says that Scott is 2 years older than Donald. So 11 + 3 = 13.

That's how I got Scott's age which is 13 years old.

Sentence 2:
Elizabeth has $200 in her savings account. She makes $40 every two weeks babysitting for her next door neighbours. If Elizabeth saves all of her money solve for how much money she will have in one year.
Equation: 200 + 40n= total money for one year.
Solution:

200+40n =$ In my solution every month has 4 weeks only.
200+40(24)=$ My variable is n and it's value is 48(which is in the
200+960 = $ brackets because if she makes $ 40 in every 2 weeks
1,160=$ then she makes $ 80 per month. If there are 12 months
you multiply 80 by 12 which gives 960.

I color coded my solution again. The number on green is my constant and it is my starting point. The number in golden yellow is my coefficient. The letter in sky blue is my variable. On this problem I'm solving for the value of this symbol: $ .

My starting point is 200 because that is her money in her savings acount. I got 40 as my coefficient because she makes $ 40 every 2 weeks. So this symbol: $ has a value of 1,160 which means Elizabeth will have $1,160 in one year.

Question 2:

Creation. You need to create two questions for your classmates that cover different concepts (ex: T-Charts, patterns, equations, graphs etc.) that you have learned in this unit on Algebra. You then need to show how to solve the questions. Your mark will be based upon the level of question’s difficulty, and the effort put into your answer.

To solve this problem correctly, you have to make an equation, a T-Chart, a graph and lastly you have to explain what is the pattern.

Question 1

Solve for Step 4, step 5 , step 10 and step 50. First explain the pattern. Second, make an equation. Third make a T-Chart . Fourth make a Graph.

First: Pattern Explanation:


In Step 1, there's 3 t-shirts in total, they form the capital L shape 1 t-shirt on line 1 and 2 t-shirts on line 2. For example, when you look at it there's 2 t-shirt vertically and 2 t-shirts horizontally.
In Step 2, there's 5 t-shirts in total, 3 vertically and 3 horizontally.This 5 t-shirts also form the capital L shape.


In Step 3, there's 7 t-shirts in total , 4 vertically and 4 horizontally.This 7 t-shirts also form the capital L shape.

The pattern goes like this:
Every new step, you add 2 t-shirts, one to the vertical line and 1 to the horizontal line.

Second : Equation

3+2n=

For example:

3+2n=

3+2(4)=

3+8=11

Third: T-Chart

On the t-chart above you could see the pattern better.

Fourth: Graph

The graph above shows that the pattern is increasing not decreasing.

Problem 2


Margaret has 10 marbles more than Lisa and the total marble they have all together is 34 marbles. If Lisa keeps adding 2 marbles every other day and Margaret only adds 1 marble everyday. How many would Margaret and Lisa have after 30 days and who will have more marbles. How much is the difference?

To solve this problem you have to do it step by step.


First, solve how many marbles Lisa have. Margaret has 10 more marbles than Lisa so you have to subract 10 marbles from 34 to make is equal then you divide it by 2 to figure out how many Lisa has. For example:
34 - 10 = 24
24 / 2 = 12
12 = Lisa's marbles


Second, you figure out the pattern.
The pattern goes like this for margaret.
Margaret started with 22 marbles and she adds 1 marble everyday.
The pattern goes like this for Lisa.
Lisa started with 12 marbles and she adds 2 marbles every other day.


Third, make an algebraic equation.
Margaret: 22 + 1m= # of marbles
Lisa : 12 + 2m= # of marbles


Fourth, solve it.
Margaret:
22 + 1m =
22 + 1 (30)=
22+ 30 = 52


Lisa:
12 + 2m
12 + 2 (15)=
12 + 30=42


For Lisa, the number on the bracket is 15 because she adds marbles only every other day. So I divided 30 by 2 to figure out the number of marbles Lisa will have.


ANSWER:
Margarett has 52 marbles after 30 days and Lisa only has 42. So it shows that Margaret has more marbles. The difference between Marget's number of marbles to Lisa's number of marbles is 10. To solve that you subtract 52 from 42 and it gives 10.

I made a t-chart below to show the pattern because the pattern is easier to see here. You can also see that Margaret has more marbles from the start.

I made a graph below to show it is increasing and it is easier to see that Margaret has more marbles that Lisa.

Question 3:

Reflection: You need to look back at the chart that we filled out during the first day of the unit. THis is the chart where you coloured a topic red, yellow or green. You now need to pick one concept that you coloured yellow or red and reflect in words what new skill/idea that you have learned on this topic.

Can I create a T-chart for my pattern?

When I read that question on the chart, the question seemed familiar to me because we learned about patterns last year in grade 6.But the word t-chart is unfamiliar to me but when we talked about it in class this year I understand it now. I learned that what you put on the t-chart depends on the pattern. So to make a t-chart you have to figure out the pttern first.

Question 4:

Preparing for the final exam. You need to think about the year that has past in mathematics and decide which topic is your weakest, and what you need to learn during class review in order to prepare yourself for the final exam. It is not enough to say fractions, instead pick your weakest area of fractions, say the subtraction of fractions, and give an example of what you don’t understand.

One topic on the exam I know I'll have a mistake on is about Integers especially Word problems about Integers. That's the topic I know I have to study hard for the exam because I get confused to what the word problem meant sometimes. One word problem I got confused on is below.

When Craig woke up this morning it was 7 below zero outside. By noon the temperature had reached 2 above and by late afternoon the temperature had peaked at 5 above. What is the total change in temperature today?

I got confused about this question. I thought the question meant was what is the temperature after all the temperature change so I put this as the answer:

(-7)+(+2)+(+5)=0

The correct answer was 12 because from -7 to +2 the temperature went up by 9 degrees and from +2 to +5 the temperature went up by 3 degrees. So 9 degrees plus 3 degrees it equals to 12 degrees.

So the total change in the temperature today is 12 degrees.




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Tuesday, June 06, 2006

chaaarmaaine's growing post # 4

Question 1: Formulas. We’ve learned how to write algebraic equations in the form of
mx + b = y. Convert these two sentences into algebraic equations using the above formula.

Sentence 1: Scott is 2 years older than Donald who turns 12 on June 21st 2006. Write this sentence in the format of mx + b = y, then convert it into an expression which allows us to figure out the age of Scott.

D + 2 = L
11 + 2 = L
11 + 2 = 13

  • I put 11 because Donald is 11 years old. I added 2 to find out how old is Scott.

  • >> Scott is 13 years old.

Sentence 2: Elizabeth has $200 in her savings account. She makes $40 every two weeks babysitting for her next door neighbours. If Elizabeth saves all of her money solve for how much money she will have in one year.

200 + 40c = L
200 + 40(24) = L
200 + 960
L = 1,160

  • I put 24 for c because Elizabeth makes $40 every 2 weeks. (12 + 12 = 24)

  • So then I multiplied 40 by 24 together. Then I added 200 and 960 together.

  • >> Elizabeth will have $ 1,160 in one year.

Question 2: Creation. You need to create two questions for your classmates that cover different concepts (ex: T-Charts, patterns, equations, graphs etc.) that you have learned in this unit on Algebra. You then need to show how to solve the questions. Your mark will be based upon the level of question’s difficulty, and the effort put into your answer.

Question # 1: Create the next two patterns. (Pattern # 3 and Pattern # 4). Also, tell me what is going on with the patterns. For Bonus Question, what letter do you think it is? (:




  • The pattern is adding 1 block to both ends of the shape.

  • Every time you add 1 block to both ends, the shape goes bigger.

  • The letter is “L”

Question # 2: Create a T-chart for the patterns you did and write an expression.


  • Expression: 9 + 2 (L) =

  • It starts of by 9 because for Pattern # 1, there’s 9 blocks and you add 2 every time you make a new pattern.


Question 3: Reflection. You need to look back at the chart that we filled out during the first day of the unit. This is the chart where you coloured a topic red, yellow or green. You now need to pick one concept that you coloured yellow or red and reflect in words what new skill/idea that you have learned on this topic.

COLOR RED – Can I create a T-chart for my pattern?

- Well before in the very beginning of Algebra Unit, I didn’t have any idea how to create a T-chart for a pattern. But then as we moved on the unit.. I learned how to do this and solve some algebra equations.

Question 4: Preparing for the final exam. You need to think about the year that has past in mathematics and decide which topic is your weakest, and what you need to learn during class review in order to prepare yourself for the final exam. It is not enough to say fractions, instead pick your weakest area of fractions, say the subtraction of fractions, and give an example of what you don’t understand.

I think my weakest is Combing The Opposites. I don’t really get it…
I need to learn mostly all the stuff we did in math.

This is the example of a Combining The Opposites:

(+5) – (+2) =
(+5) + (-2) = +3

++ Mr. Reece, the fonts are supposed to be different colors but i dont know what happened ..because i did this on Microsoft Word (Blogger).




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growing post 1 (oops its a little late)

1. What is meant by the terms "rotation symmetry" and "reflection symmetry?" How does this relate to pentominoes?Pentominoes are shapes that could be form using 5 squares. The pictures on the left are the 12 unique pentominoes.
Rotation symmetry or rotating any shape makes an identical shape of the original shape. Using the method of rotation symmetry to a pentomino will make a different but still similar pentomino. This does not make the new pentomino unique. Because it has a similar pentomino.
Reflection symmetry or flipping any shape makes a mirror image of the original shape. Also, using this method to a pentomino makes the mirror image of the original pentomino. It doesn't make the pentomino unique because it has a very similar image ^_^ .
2. Create a pattern. You must represent this pattern both pictorially ( i.e. with picture or diagram ) and with numbers. You must show the first 4 steps of your pattern.
shape # 1

shape # 2

shape # 3

shape # 4

3. Describe in words what is occurring with your pattern and if your pattern has an ending or if its continues on indefinately.
This shape is like stairs. It started as a 3 blocks by 3 blocks figure ( shape # 1 ). You keep adding the next set of blocks at the bottom and the bottom-right corner of the shape. So if you add the next set of blocks the shape will be longer at the left side and at the bottom side, like what is happening to the next 3 shapes. This pattern continues on and on forever. It adds more and more set of blocks than anyone could imagine.
4. Create a T-chart that shows what is happening with your pattern.
To get shape 6 and shape 8 you must figure out a formula that works for every shape with or without shape 1. I can't figure out the formula so what I did is count. I'll try to figure out the formula but in the mean time I'm done my post.




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growing post 1 (oops its a little late)

1. What is meant by the terms "rotation symmetry" and "reflection symmetry?" How does this relate to pentominoes?Pentominoes are shapes that could be form using 5 squares. The pictures on the left are the 12 unique pentominoes.
Rotation symmetry or rotating any shape makes an identical shape of the original shape. Using the method of rotation symmetry to a pentomino will make a different but still similar pentomino. This does not make the new pentomino unique. Because it has a similar pentomino.
Reflection symmetry or flipping any shape makes a mirror image of the original shape. Also, using this method to a pentomino makes the mirror image of the original pentomino. It doesn't make the pentomino unique because it has a very similar image ^_^ .
2. Create a pattern. You must represent this pattern both pictorially ( i.e. with picture or diagram ) and with numbers. You must show the first 4 steps of your pattern.
shape # 1

shape # 2

shape # 3

shape # 4

3. Describe in words what is occurring with your pattern and if your pattern has an ending or if its continues on indefinately.
This shape is like stairs. It started as a 3 blocks by 3 blocks figure ( shape # 1 ). You keep adding the next set of blocks at the bottom and the bottom-right corner of the shape. So if you add the next set of blocks the shape will be longer at the left side and at the bottom side, like what is happening to the next 3 shapes. This pattern continues on and on forever. It adds more and more set of blocks than anyone could imagine.
4. Create a T-chart that shows what is happening with your pattern.
To get shape 6 and shape 8 you must figure out a formula that works for every shape with or without shape 1. I can't figure out the formula so what I did is count. I'll try to figure out the formula but in the mean time I'm done my post.




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Growing Post #4

Question 1: Formulas. We've learned how to write algebraic equations in the form of mx + b = y. convert these two sentences into algebraic equtaions using the above formula.

M = this is the coefficient, these are the numbers that are teamed with the variable.
X = this is the variable, these are the letters that represents numbers. They vary in that we can sunbstitute a variable for one or more numbers.
B = this is the constant, their value never changes in an expression.
Y = this is the solution of the question

Sentence 1: Scott is 2 years older than Donald who turns 12 june 21st 2006. Write this sentence in the format of mx + b = y, then convert it into an expression which allows us to figure out the age of Scott.

D = Donald S = Scott

D + 2 = S

11 + 2 = S

11 + 2 = 13

Donald is currently 11 years old.
Since Scott is older than Donald by 2 years.
Scott is 13 years old. 2 years older than Donald.

Sentence 2: Elizabeth has $200 in her savings account. She makes $40 every two weeks babysitting for her next door neighbours. If Elizabeth saves all of her money solve for how much money she will have in one year.

200 + 40n =

200 + 40(24) =

200 + 960 = 1160

The variable is 24 because since 1 month has 4 weeks and Elizabeth receives $40 every 2 weeks that would make 24 weeks.
Elizabeth will have $1160 in her savings account.

Question 2: Creation. You need to create two questions for your classmates that cover different concepts (ex: T-Charts, patterns, equations, graphs etc.) that you have learned in this unit on Algebra. You then need to show how to solve the questions. Your mark will be based upon the level of questions difficulty, and the effort put into your answer.

Question 1: You are going shopping for clothes. Each t-shirt costs $20, shorts costs $10 and socks costs $5. You have with you $155. You are trying to get the same amount of everything. How many shirts, shorts and socks can you get so you have the same number of each type of clothing.






You can buy 5 shirts, shorts and socks.
5 shirts will cost $60.
5 shorts will cost $50.
5 socks will cost $45.
Add them up - $155

Question 2: You have $50. Every month you receive $300. How much will you have in 3 years?

50 + 300n =
50 + 300(36) =
50 + 10800 = 10850

Since there are 12 months in one year. 3 years would have 36 months. 12 months * 3 years = 36 months.
In 1 year you would have 3650.

In this chart you will see how much you started with, how much you'll have in 1 and 2 years and you answer: You'll have $10850 in 3 years/ 36 months.

Question 3 : Relection. You need to look back at the chart that we filled out during the first day of the unit. This is the chart where you coloured a topic red, yellow or green. You now need to pick one concept that you coloured yellow or red and reflect in words what new skill/idea you have learned on this topic.

I pretty much learned everything. From T-Charts to Graphs to algebraic formulas. We did this last year, but i didn't really understand it. I learned alot.

The thing I mostly learned was the formulas. I have learned that whatever you do to one side you have to do the same on the other side (other side of "=" sign). The Coefficient, variable, constant thing. I also learned how to put t-charts and graphs into formulas and find out way more than the graph or t-chart is supposed to go.

Question 4: Preparing for the Final Exam. You need to think about the year that has past in mathematics and decide which topic is your weakest, and what you need to learn during class review in order to prepare yourself for the final exam. It is not enough to say fractions, instead pick your weakest area of fractions, say the subtraction of fractions, and give an example of what you don't understand.

Algebra: Showing the steps for some questions.

(8 - 3)n + 7n + 8 = 4n + 40

5n + 7n + 8 = 4n + 40

12n + 8 = 4n + 40

12n - 4n + 8 = 4n + 40 - 4n

8n + 8 = 40

8n + 8 - 8 = 40 - 8

8n = 32

8n/8 = 32/8

n = 4




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growing post #4

mx+b=y
m-
is the coefficient, which is combined with the variable
x- this represents numbers. x is the variable. the numbers it reprsents may vary because you can subsitute it with one or more numbers.

b-
is the constant. The constant will never ever change in an expression.
y- is the solution to a formula.

Question 1:Formulas. we've learned how to write algebraic equations in the form of mx+b=Y. Convert these two sentences into algebraic equations using the above formula.


sentence 1: Scott is two years older than Donald who turns 12 on June 21st 2006. Write this sentence in the format of mx+b=y, then convert it into an expression which allows us to figure out the age of Scott.
D=the age of Donald S=the age of Scott
D+2=S
11 + 2 = S
11 + 2 = 13
Scott is 13 years of age

Since Donald is turning 12 on June 21st he is still 11, there for if Scott is two years older than Donald, then that would make Scott 13 while Donald is 11.

sentence 2: Elizabeth has $200 in her savings account. She makes $40 every two weeks babysitting for her next door neighbors. If Elizabeth saves all of her money solve fo rhow much money she will have in year.
The formula for the is [ 200x + 40 = y ]
200+ 40n = y
200 + 40(24) = y
200 + 960 = y
200 + 960 = 1160



Question 2: Creation. You need to create two questions for your classmates that cover concepts (ex. T-Charts, patterns, equations, graphs etc.) that you have learned in this unit on Algebra. You then need to show how to solce the questions. Your mark will be based upon the level of questions deifficulty, and the effect put into your answer.

1)
It's the first day of June and you decide to start saving up your weekly allowence in a piggy bank because you are going to Edmonton on the first week of July. You start off with $200 in your piggy bank, and your dad gives you $20 dollars each week. How much money will you have by the end of this month?


200 + 20 n = solution
200 + 20 (5) = solution
200 + 100 = solution
200 + 100 = $300
you will have $300 by the time you go to Edmonton because there are 5 weeks in June so you multiply 20 by 5 then you add the coefficient with the constant then you get you solution.


Question 3: Reflection
You need to look back at the chart that we filled out during the first day of the unit. This is the chart where you coloured a topic red, yellow or green. You now need to pick the one concept that you coloured yellow of red and reflect in words what ned skill/ idea that you have learned on this topic.


In algebra I've learned how to create algeraic equations. And the other things just refreshed my memory on what i already knew but forgot.
I used to hate creating algebraic formula's because I always got frustrated trying to figure out which number goes where. But now that I understand it i wont get as frustrated as before.
solving equations used to take me so long to do because it kind of took me a while to understand what the questions wants me to do. But now i know exactly how to solve Equations.
For example, if you add subtract or ect. to one side then you have to do it to the other side of the = sign for you to get the correct answer.


Question 4: Preparing for the final exam.
You need to think about the year that has past in mathematics and decide which topic is your weakest, and what you need to lear during class reveiw in order to prepare yourself for the final exam. It is not enough to say fractions, instead pick you weakest area of fractions, say the subtration of fractions, and give and example of what you don't understand.


creating a word problem for algebra. It's hard for me to think of what the problem should have and how many numbers or the topic of the problem.




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Levinia's Growing Post #4!!!!

Question 1: Formulas. We’ve learned how to write algebraic equations in the form of mx + b = y. Convert these two sentences into algebraic equations using the above formula.

mx + b = y

m- This is the coefficient. It is teamed with the variable which is x
x- This is the variable. It represents numbers. They vary in that we can substitute
a it for one or more numbers.
b- This is the constant. It never changes in an expression
y- This is the answer or the solution of a formula.


Sentence 1: Scott is 2 years older than Donald who turns 12 on June 21st 2006. Write this sentence in the format of mx + b = y, then convert it into an expression which allows us to figure out the age of Scott.

Donald + 2 = Scott
D + 2 = S

11 + 2 = S
11 + 2= 13

- Donald's age which is eleven plus two years is equal to thirteen.
- Scott is 2 years older than Donald so he will be 13 years old. While Donald is 11 years old.


Sentence 2: Elizabeth has $200 in her savings account. She makes $40 every two weeks babysitting for her next door neighbours. If Elizabeth saves all of her money solve for how much money she will have in one year.

200 + 40n= x
200 + 40 ( 24 )= x
200 + 960 = x
1160 = x
or
x = 1160

Question 2: Creation. You need to create two questions for your classmates that cover different concepts (ex: T-Charts, patterns, equations, graphs etc.) that you have learned in this unit on Al
gebra. You then need to show how to solve the questions. Your mark will be based upon the level of question’s difficulty, and the effort put into your answer.

FIND THE MISSING STEPS.


Step 1: 2
Step 2: 4
Step 3: 8
Step 4: ?
Step 5:
?


The pattern of this one is like its root number (did I say that right?). Step one has 2 flowers so you mutliply it by itself then you get 4. So for Step 3 it has 8 flowers... multiply it by 8 then you get 64.




Step 4: 64
Step 5: 4096 ('o')




Step # 1: 2

Step # 2: 4

Step # 3: 8

Step # 4: 64

Step # 5: 4096










THIS GRAPH EXPLAINS YOU IF THE FLOWERS ARE INCREASING OR DECREASING. SO OBVIOUSLY THE GRAPH IS INCREASING.

Question 3: Reflection. You need to look back at the chart that we filled out during the first day of the unit. This is the chart where you coloured a topic red, yellow or green. You now need to pick one concept that you coloured yellow or red and reflect in words what new skill/idea that you have learned on this topic.


Can I use in my words to create my algebraic formula?
BEFORE- red
AFTER- yellow

When I read that question, I thought that I;ve heard it before but I've never learned about it before. I know what algebra is but I can't make my own algebraic formula yet. In the middle of the algebra unit, I started getting how to make one. Until at the end, I get it!...but I still need to review more about it for the exam. That's all thank you!


Can I use an algebraic formula that I created to solve an unknown (n)?
BEFORE- red
AFTER- yellow

When I was thinking about algebra...I couldn't remember anything about algebraic formulas. When I was in grade 6 we learned about leaner equations but I didn't really understand it taht time. In grade 7 when we started the Algebra unit, I learned a lot more about it. I learned how to make an algebraic formula.


Question 4: Preparing for the final exam. You need to think about the year that has past in mathematics and decide which topic is your weakest, and what you need to learn during class review in order to prepare yourself for the final exam. It is not enough to say fractions, instead pick your weakest area of fractions, say the subtraction of fractions, and give an example of what you don’t understand.

My weakest area- ALGEBRA!
In algebra I had a hard time solving word problems. It's like when there's a paragraph containing clues and ways how to solve that problem. It gave me a hard time understanding them and making the formula but when the problem is really easy I find it really easy to create the formula. So during class review I will spend more time in Algebra and other topics that I need to refresh in my mind.

I will post an example of a problem when I get my Algebra test back! ^_^




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Sunday, June 04, 2006

growing post 3

im only giving the answers

1) algebraic expression represents variables, we can substitute one or more number for the letters in the algbriac expression and it does not habe an equal sign

an algebraic equation, the number of the variable is given and you need to solve the numbers to get the appropriate number for the variable

the difference is the variable for the expression is not given while the variable for the equation is given and it has equal sign.

2) variable is the letter in algebraic expression and equation (likex,y). we use that to represent the unknown number. to find it out use START +CHANGE(VARIABLE)

3) solve for N

4)
a)3n+4n+7=2n+12n
b)8n-(4+9)=11
c)(8-3)n+7n+8+4n+40

5) for this question you need to create a T-chart and a graph to plot your data onto paper




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Rainer's Growing Post ( 4 )

------Questions for June 6th------
1. Formulas. We've learned how to write algebraic equations in the form of mx + b = y. Convert these two sentences into algebraic equations using the above formula.
m - coefficient ( change )
x - variable
b - constant ( start )
y - solution
Sentence 1. Scott is 2 years older than Donald who turns 12 on June 21st, 2006. Write this sentence in the format of mx + b = y, then convert it into an expression which allows us to figure out the age of Scott.
D + 2 = S
D is Donald's age.
S is Scott's age.
The equation represents that Donald's age plus 2 gives you Scott's age.
Right now Donald is 11 years old.
11 + 2 = S
11 = S
Scott is 13 years old.
-
Sentence 2. Elizabeth has $200 in her savings account. She makes $40 every two weeks babysitting for her next door neighbours. If Elizabeth saves all of her money solve for how much money she will have in one year?
40x + 200 = y
40 is the coefficient or how much the change of her savings account every two weeks.
x is our variable. In this question it represent how many 2 weeks.
200 is the constant. It's the amount of money she already have.
1 year has 12 months and each month has about 4 weeks in it. So every month has 2 two weeks.
12(2) = 24
Now our variable represent 24.
40x + 200 = y
40(24) + 200 = y
960 + 200 = y
1160 = y
She will have $1160 in her account in one year.
-
2. Creation. You need to create two questions for your classmates that cover different concepts ( ex: T-charts, patterns, equations, graphs etc. ) that you have learned in this unit on algebra. You then need to show how to solve the questions.
Question 1. You are in your school's bake sale. A small pie costs $5.00, a medium pie costs $7.50 and a large pie cost $10.00. You planned to buy one medium and large and as many small ones as you can. You have $50.00. How many small pies can you buy if you are also buying 1 large and 1 medium?
The graph shows that you can buy 8 small pies if you are also buying 1 medium pie and 1 large pie.
-
Question 2. You have $10.00. Every week you earn $50.00 for working and spends $10.oo for shopping. How much money would you have in six weeks?
Every week you earn 50 and loses 10.
(50 + 10)x + 10 = y
So 50 - 10 = 40. Every week you earn really 40.
So our expression is 40x + 10. x is our variable. For this question it is the number of weeks.
Each month has about 4 weeks. So 6(4) = 24 weeks.
Our variable represent 24 weeks.
40x + 10 = y
40(24) + 10 = y
960 + 10 = y
970 = y
In 6 months you will have $970.
-
3. Reflection. You need to look back at the chart that we filled out during the first day of the unit. You now need to pick one concept that you coloured yellow or red and reflect in words what new skill that you learned on this topic.
Using T-charts to create an algebraic formula.
You may know what a t-chart is in the beginning of the unit. But you might not know what an algebraic formula was. It has coefficient, variable and constant or what we used to know as start, change and variable.
This is an example of a t-chart. In the left column is the variable, x. In the right column is the solution, y.
The algebraic formula is mx + b = y.
The left side of the column is x. The right side is going to be the solution.
1x + 7 = y
Step 3 :
1(3) + 7 = y
3 + 7 = 10
The formula didn't work so minus the extra 1 in the formula.
1x + 7 - 1 = y or 1x + 6 = y
1(3) + 6 = y
3 + 6 = 9
-
4. Preparing for the final exam. You need to think about the year that has past in mathematics and decide which topic is your weakest, and what you need to learn during class review in order to prepare yourself for the final exam. It is not enough to say fractions, instead pick your weakest area of fractions, say the subtraction of fractions, and give an example of what you don’t understand.
Integers. Any positive or negative numbers without decimals.
Multiplying Two Negative Integers. Multiply the numbers and the symbol is always positive.
(-4)(-5) = +20
The End




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Friday, June 02, 2006

Growing Post #3

Questions due Tuesday May 30th (Created by Boeun)

#1 What is the difference between an algebraic expression and an equation (hint: One contains this and the other doesn’t)? Give an example of both an expression and an equation.

- They all have variable, starting point, and change. The letter of the variable doesn't matter. It can be A B C D E F G… any alphabets we can use. What matter is that does the variable in an algebraic equation or expression is given. In an equation the value of the variable is already given to balance each side of the equal sign.

Example of an expression is 5n x 2 and example of an equation is this. 5 x 2 = 10

#2 What is variable and why do we use one in algebra?

- Variable means unknown number. We don’t know the number that is unknown so we are using alphabet to make expression so we can solve it and get variable

#3 Solve N
- One circle is equal to 1. All 9 circles are equal to 9. Two squares are equal to 4. One triangle is equal to 5 so 9-4= 5.
- 6 squares are equal to 12 so 12 + 5 + 5= 22
- 22 divided
by 2 is 11, then N is equal to 11

#4 Solve the following equations. Show all of the steps that are needed

a) 3n + 4n + 7 = 2n + 12

3n + 4n + 7 = 2n + 12

7n + 7 = 2n +12

7n + 7 = 2n + 12

- 2n -2n

5n + 7 = 12

- 7 - 7

5n = 5

5 ÷ 5 = 1

n = 5

b) 8n – (4+9) = 11

8n – (4+9) = 11

8n – 13 = 11

+ 13 + 13

8n = 24

24 ÷ 8 = 3

n = 3

c) (8 - 3) n + 7n + 8 =4n + 40

(8 - 3) n + 7n + 8 =4n + 40

5n + 7n + 8 =4n + 40

12n + 8 = 4n + 40

- 4n -8 -4n -8

8n = 32

32 ÷ 8 = 4

n = 4

#5 For this question you need to create a T – Chart and a graph to plot your data from this question onto.

You are having a race against your friend, except you are on foot and he is on his bike. You both know that if you are on a bike you will be faster so your friend gives you a head start of 3 minute, who will be the first to make it to the finish line 2000m away?So you will win by 600m.






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Wednesday, May 31, 2006

growing post #3

Question #1: What is the difference between an algebraic expression and an equation (hint: One contains this and the other doesn't)? Give an example of both an expression and an equation.

An Algebraic Expression is when the value of the variable is already given to you.

Example

7 + 5(3) =

7 + 15 = 22

An Algebraic Equation is when the variable is given to you but is still an unknown.

Example

20 + 5a =

20 + 5(15) =

20 + 75 = 95

Question #2: What is a variable and why do we use one in algebra?

A variable represents an unknown quantity that we are trying to solve for. We use variables in algebra because it can help you solve the problem more easier and faster.

Question #3 Solve for N


Question #4 Solve the following equations. show all of the steps that are needed.

a) 3n + 4n + 7 = 2n + 12

7n + 7 = 2n + 12
7n - 2n + 7 = 2n - 2n + 12
5n + 7 = 12
5n + 7 - 7 = 12 - 7
5n = 5
5n/5 = 5/5
n = 1

b) 8n - (4+9) = 11

8n - 13 = 11
8n - 13 + 13 = 11 + 13
8n = 24
8n/8 = 24/8
1n = 3
n = 3

c) (8 - 3)n + 7n + 8 = 4n + 40

5n + 7n + 8 = 4n + 40
5n + 7n + 8 - 8 = 4n + 40 - 8
12n = 4n + 32
12n = 36n
12n/12 = 36/12
n = 3

Question #5 For this question you need to create a T-Chart and a graph to plot your data form this question onto.

You are having a race against your friend, except you are on foot and he is on his bike. You both know that if you are on a bike you bill be faster, so your friend gives you a head start of 3 minutes. If you can run 400m per minute, and you friend can bike 700m per minute, who will be the first to make it to the finish line 2000m away?

You would win the race as you can see...




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Growing Post #3

Question #1: What is the difference between an algebraic expression and an equation (hint: One contains this and the other doesn't)? Give an example of both an expression and an equation.

An algebraic equation is when the variable is given and it's when you have to solve for the variable.
Example -
3 + 2r = 10
3 + 2(1) =
3 + 2 = 5

An algebraic expression is when the variable is chosen as a number.
Example -
4 + 5(2) =
4 + 10 = 14

The difference is the equation has the variable already given and the expression is when the variable is shown as a number.

Question #2: What is a variable and why do we use one in algebra?

A variable is an unknown quantity that we are trying to solve for.
We use variables in algebra to represent an unknown number. Variables can also help you solve some questions faster. The format should look like this - Start + Change (Variable) =
The variable can be changed (the one in brackets) while you are trying to solve for unknown.

Question #3 Solve for N



Question #4 Solve the following equations. shaw all of the steps that are needed.

a) 3n + 4n + 7 = 2n + 12

7n + 7 = 2n + 12

7n - 2n + 7 = 2n - 2n + 12

5n + 7 = 12

5n + 7 - 7 = 12 - 7

5n = 5

5n/5 = 5/5

n = 1

b) 8n - (4+9) = 11

8n - 13 = 11

8n - 13 + 13 = 11 + 13

8n = 24

8n/8 = 24/8

1n = 3

n = 3

c) (8 - 3) n + 7n + 8 = 4n + 40

5n + 7n + 8 = 4n + 40

12n + 8 = 4n + 40

12n - 4n + 8 = 4n + 40 - 4n

8n + 8 = 40

8n + 8 - 8 = 40 - 8

8n = 32

8n/8 = 32/8

n = 4

Question #5 For this question you need to create a T-Chart and a graph to plot your data form this question onto.

You are having a race against your friend, except you are on foot and he is on his bike. You both know that if you are on a bike you bill be faster so your friend gives you a head start of 3 minutes. If you can run 400m per minute, and you friend can bike 700m per minute, who will be the first to make it to the finish line 2000m away?




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shawn's growing post THIRD

Question 1) What is the difference between an algebraic expression and an equation (hint: One contains this and the other doesn't)? Give an example of both an expression and an equation.

- Algebraic Expression - An algebraic expression is made up of the signs and symbols of algebra. These symbols include the Arabic numerals, literal numbers, the signs of operation, and so forth. Such an expression represents one number or one quantity.

- Equation - An equation states that one expression is equal to another expression or when the value of the variable is given.

the difference between an algebraic expression and an equation is that an algebraic expression does not the variable is not given and that you are able to choose your own variable. in an equation the variable is shown and given.


Question 2) What is a variable and why do we use one in algebra?

- a variable represents an unknown quantity that is trying to be solved for.
- we use variables in algebra because to solve for unknown numbers.
Question 3) Solve for N



the two squares equal two circles and one circle equals one. we dont know the value for the triangle so that's what we're trying to solve for. for first diagram you subtract 4 which is the value of the two squares together from 9 which is the value of the circles together.

4 - 9 = 5

triangle equals 5

Next step since we know now the a triangle equals 5. we add 12 which is the value of the 5 squares together and 10 which is the value of the 2 triangles together.

12 + 10 = 22

Now we divide 22 which is the value of the right and divide it by 2 because of the 2 N's on the other side.

22/2 = 11

N=11

4) Solve the following equations. Show all of the steps that are needed.

a) 3n + 4n + 7 = 2n + 12

7n + 7 = 2n + 12
7n - 2n + 7 = 2n - 2n + 12
5n + 7 = 12
5n + 7 - 7 = 12 - 7
5n = 5
5n/5 = 5/5
n = 1

b) 8n - (4+9) = 11
8n - 13 = 11
8n - 13 + 13 = 11 + 13
8n = 24
8n/8 = 24/8
1n = 3
n = 3

c) (8 - 3)n + 7n + 8 = 4n + 40
5n + 7n + 8 = 4n + 40
5n + 7n + 8 - 8 = 4n + 40 - 8
12n = 4n + 32
12n = 36n
12n/12 = 36/12
n = 3

Question 5) For this question you need to create a T-chart and a graph to plot your data for this question onto.

You are having a race against your friend, except you are on foot and he is on his bike. You both know that is you are on a bike you will be faster so your friend gives you a head start of 3 minutes. If you can run 400m per minute, and your friend can 700m per minute, who will be the first to make it to the finish line 2000m away?





You win because your friend ends up finishing after 6 minutes.




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Camille's Growing Post #4

Question 1.) Formulas. We've learned how to write algebraic equations in the form of mx+b=y. Convert these two sentences into algebraic equations using the above formula.

Sentence 1: Scott is 2 years older than Donald who turns 12 in June 21st 2006. Write this sentence in the format of mx+b=y, then convert it into an expression which allows us to figure out the age of Scott.

mx+b=y
12+2=y
14=y

Sentence 2: Elizabeth has $200 in her savings acount. She makes $40 every two weeks babysitting for her next door neighbors. If Elizabeth saves all of her money solve for how moch money she will have in one year.

mx+b=y
200+40=y
240=y

Quaestion 2.) You need to create two questions for your classmates that cover different concepts (ex: T-Charts, patterns, equations, graphs etc.) that you have learned in this unit on Algebra. You need to show how to solve the questions. Your mark will be based upon the level of question's difficulty, and the effort put into your answer.

Question: Carlotta spent $35 at the market. This was seven dollars less than three times what she spent at the bookstore. How much did she spend there?
Let x answer the question-----How much did she spend there?

Answer:
3x − 7 = 35
3x=35+7
3x/3=42/3
x=14


Question: Judy starts working at MacDonald in 24 hours. Every one hour, she receives $10.75. How much money did she collect in 10 hours?

Answer:



Question 3.) 3. Reflection. You need to look back at the chart that we filled out during the first day of the unit. You now need to pick one concept that you coloured yellow or red and reflect in words what new skill that you learned on this topic.

I choose Can I use my words to create an algebraic formula? because I learned this so fast.

This is my example: (actually I have 3 examples.)

1.) 8n-3n+n=12+6------> eight multiplied by a number subtracted by three multiplied by a number added by a number is equal to twelve added by six.

2.) 11-4-2+3n=8n------> eleven subtrcted by four subtracted by two added by three multiplied by a number is equal to 8 multiplied by a number.

3.) 10+4n=14+2n------> ten added by four multiplied by a number is equal to fourteen added by two multiplied by a number.


Question 4.) Preparing for the final exam. You need to think about the year that has past in mathematics and decide which topic is your weakest, and what you need to learn during class review in order to prepare yourself for the final exam. It is not enough to say fractions, instead pick your weakest area of fractions, say the subtraction of fractions, and give an example of what you don’t understand.

Creating an algebraic formula.

(8-2)n+5n=18+2n

6n+5n=18+2n

11n=18+2n

11n-2n=18+2n-2n

9n=18

9n/9=18/9

n=2




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Tears' Growing Post For May 30th!!!!

Question #1
What is the difference between an algebraic expression and an equation (hint:One contains this and the other doesn't)? Give an example of both an expression and an equation.

An algebraic expression is an expression when you could choose the value of the variable. For Example: 7+3N=. (Instead of N you could put 4 for example) 7+3x4. Like this: 7+3x4=
7+12=19

An algebraic equation is an equation when the value of the variable is given to you. For example: 7+3N= 16 N= 3 . Because if you multiply 3 by3 it givese 9 and add 7 it gives 16.
Solution:
7+3N= 16
7+3x3+16
7+9=16

The difference between them is about their variable. The algebraic equation gives the value of the variable but the algebraic expression lets you choose the value of the variable.

Question #2
What is a variable and why do we use one in algebra?

A variable is a symbol or a letter used to represent any number. We use variables in algebra to represent an unknown number. It doesn't matter if we know its value or not, still variables can help you solve things faster. In an algebraic expression, a variable is the number you can change the value. It should look like this : START+ CHANGE(VARIABLE)=. The one on the brackets you could change. In an algebraic equation, a variable is the number you need to find out. For example: 4+ 2N= 8 N= 2 .

Question #3
Solve for N


On the diagram above, I showed how I got 5 as the value of the triangle. If you look on the right side of the scale, You see 9 blue circles and each blue circles is worth 1 so the total value of the circles is 9 or 9 circles. On the left side of the scale you see 2 pink squares, each squares is worth 2 or 2 circles so the total value of the 2 squares is 4 or 4 circles. On the left side of the scale there's a triangle too. To get the value of the triangle you subtract the total value of the 2 squares from the total value of the 9 circles. Like this: 9 - 4 = 5. So the value of the triangle is 5 or 5 circles.

On the diagram above, I showed how I got the value of the N. I f yoou look on the right side of the scale. You see 6 squares and as we learned from the last diagram each square is worth 2 or 2 circles so the total value of the 6 squares is 12 (6 x 2). On the right side of the scale there's also 2 triangles and as wew learned from the last diagram each triangle is worth 5 or 5 circles so the total value of the 2 triangles is 10(5 + 5). To get the value of the 2 pink circles with the N inside on the left side of the scale, first you have to find out the total value of all the shapes on the right side of the scale. Like this: 10 ( total value of the 2 triangles) plus 12 ( total value of the 6 squares). 10 + 12 = 22. As you can see on the left side of the scale there are 2 pink circles with N inside. So you have to divide the total value of all the shapes from the right side of the square by 2. Like this : 22 / 2 = 11. N = 11

Question # 4
Solve the following equations. Show all of the steps that are needed.

a) 3n + 4n + 7 = 2n + 12
7n + 7 = 2n + 12
7n - 2n + 7 = 2n + 12 - 2n
5n + 7 = 12 5n + 7 - 7 = 12 - 7
5n = 5
5n /5 = 5 / 5
n = 1


b) 8n - ( 4 + 9 ) = 11
8n - 13 = 11
8n - 13 + 13 = 11 + 13
8n = 24
8n / 8 = 24 / 8
n = 3


c) (8 - 3) n + 7n + 8 = 4n + 40
5n + 7n + 8 = 4n + 40
12n + 8 = 4n + 40
12n - 4n + 8 = 4n + 40 - 4n
8n + 8 = 40
8n + 8 - 8 = 40 - 8
8n = 32
8n / 8 = 32 / 8
n = 4

Question #5
For this question you need to create a T-Chart and a graph to plot your data from this question onto.

You are having a race against your friend, except you are on foot and he is on his bike. You both know that if you are in your bike you will be faster so your friend gives you a head start of 3 minute. If you can run 400m per minute, and your friend can bike 700m per minute, who will be the first to make it to the finish line 2000m away?


Tearsamay's T-Chart (The Runner)



Tearsamay's friend's T-Chart (The Biker)
The Race's Graph
Who won the race?
Tearsamay Won by a minute!!!




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Tuesday, May 30, 2006

Julie'sGrowingPost#3

1.) Question # 1 :
What is the difference between an algebraic expression and an equation (hint: One contains this and the other doesn't)? Give an example of both an expression and an equation.

** An algebraic expression has no value until the variables in the epression have been replaced with numbers. To evaluate an expression, replace every variable with a given value for the variable, then evaluate the resulting numerical expression.

** An equation states that one expression is equal to another expression

The difference between an algebraic expression and an equation is that for algebraic expression the variable is not given. You can choose your own variable. In an equation the variable is determined.

** Example
Algebraic Expression

30 + 18 (m)
30 + 18 (12)
30 + 126 = 246

Equation

2n = 10
2n/2 = 10/2
n=5

Question # 2 :
What is a variable and why do we use one in algebra?

** A variable represents the unknown quantity. We use it in algebra because that's what we're solving for.

Question # 3 :
Solve for N


If a square equals two circles and a circle equals one then for the first diagram you have to subtract 4 - 9 to know what a triangle equals to.

4-9=5

a triangle equals to five

Now that we know that a triangle equals to five then we'll be able to solve the next diagram

we add 12 + 5 + 5

12 = 6 squares

5 = 1 triangle

5 = 1 triangle

you add that all up and you get 22 and then you divide 22 by 2 because there are two n's on the other side and you get 11 as an answer. So n=11

Question # 4 :

Solve the following equations. Show all of the steps that are needed.

a.) 3n + 4n + 7 = 2n + 12

7n + 7 = 2n + 12

7n - 2n + 7 = 2n - 2n + 12

5n + 7 = 12

5n + 7 - 7 = 12 - 7

5n = 5

5n/5=5/5

n=1

b.) 8n - (4 + 9) = 11

8n - (4 + 9) = 11
8n - 13 = 11
8n - 13 + 13 = 11 + 13
8n = 24
8n/8 = 24/8
1n = 3
n = 3

c.) (8 - 3)n + 7n + 8 = 4n + 40

5n + 7n + 8 = 4n + 40
5n + 7n + 8 - 8 = 4n + 40 - 40
5n + 7n = 4n
12n = 4n
12 = 4n
12/4 = 4n/4
3 = n

Question # 5 : For this question you need to create a T-chart and a graph to plot your data from this question onto.

You are having a race against your friend, except you are on foot and he is on his bike. You both know that if you are on a bike you will be faster so your friend gives you a head start of 3 minute. If you can run 400m per minute, and your friend can bike 700m per minute, who will be the first to make it to the finish line 2000m away?

you won the race.




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