Tuesday, May 30, 2006

*Mackenzie's Third Growing Post*

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.

In an expression we get to chose the value of the variable Example: 10+20n=
In an equation the value of the variable is given Example: 3+4n=19

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

A variable is a letter that represents an unknown number. We use the variable to replace an unknow number.

Question #3: solve for N

A triangle = 5 because two squares = 4 so the whole left hand side of the scale has to equal 9 so the triangle = 5
The right hand side of the scale equals 22 and it is even so one n has to equal 11 because 22 divided by 2 equals 11 and there is 2 ns on the scale.

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

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

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

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

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

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 both 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 bike 700m per minute, who willbe the first to make it to the finish line 2000m away






Monday, May 29, 2006

growing post

Question #1What 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 uses a letter for the unkown but an equation just has numbers
Expression: 5(n) + 40= 65 equation: 45+69=114
n= 5

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

A quantity is capable of assuming any of a set of values & can be used in a expression or an equation.

Question #3 Solve for N
1 square - 2.1 circle - 1.1 triangle - 5.2n = 6 squares and 2 triangles (=22)
the represents eleven!

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

a) 3n + 4n + 7 = 2n + 12
b) 8n - (4+9) =118n - 5 = 118/8 11/8n = 1.375
c) (8-3) n + 7 n + 8 = 4n + 40.


Number 5 will be here soon. it'll be here wen i learn how to get a picture from paint to this spot!

Sunday, May 28, 2006

the growing post

Question #1What 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 expression's value of it's variable is to be chosen . An equation already has the value of the variable it has .

Ex . 4+3n= / Eq . 4+3n=19

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

A quantity capable of assuming any of a set of values and can be in an equation or expression .

Question #3 Solve for N

1 square - 2.1 circle - 1.1 triangle - 5.2n = 6 squares and 2 triangles (=22)N = 11.

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

a) 3n + 4n + 7 = 2n + 12
b) 8n - (4+9) =118n - 5 = 118/8 11/8n = 1.375
c) (8-3) n + 7 n + 8 = 4n + 40

Question #5

Growing Post

Growing Post#2

1a) Create a t-chart showing how many baseballcards Jack has at the end of the next 4 months.
















1b) Create an algebraic formula based upon the problem above
180+25*n (month)

1c) If Jack just turned 8 years old this month and Jack continues to buy the same amount of baseball cards each month, how many baseball cards will Jack have when he turns 12?
Jack will have 1380 baseball cards.

2a) If Jackie thinks that there will be four people at the party (counting herself) how many pizza's should she order?
She should order two pizza's.

2b) If two more people show up at the party how many more pizza's does she need to order?
SHe would need to order one more pizza.

3a) Calculate how much money Kathy will have in one year.
20+15*12=200

3b)Suppose Kathy counted wrong and she really has $25 in her account instead of $20.
Change the algebraic to reflect this miscalculation.
25+15*n or 25+15n

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


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


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

Growing post #3

1) What is the difference between an algebraic expression and an equation? Give an example of both an expression and an equation.
The difference is that equation is that the variable is only one number and in an expression it can be any number.
Equation:12t=24
Expression:14+s

2)What is a variable and why do we use one in algebra?
A variable is a letter that represents a number. We use them in algebra because they allow instructions to be specified in a general way.

3)Solve for N
a)4+n=9
-4 -4
n=5
b)

4)Solve the following equations. Show all of the steps that are needed.
a)3n+4n+7=2n+12
b)8n-(4+9)=11
8n-5=11
8/8 11/8
n =1.375
c)(8-3)n+7n+8=4n+40

5)


I will be first at the 2000m line.

The Third Growing Post .

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 expression's value of it's variable is to be chosen . An equation already has the value of the variable it has .

Expression. 4+3n= .
Equation. 4+3n=19

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

A quantity capable of assuming any of a set of values and can be in an equation or expression .

Question #3: Solve for N

1square=2.
1circle=1.
1triangle=5.
2n=6squares&&2triangles(=22)
22
--- = 11
2
n=11.

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

A) 3n+4n+7=2n+12
7n+7=2n+12
7n=2n+5
5n=5
n=1

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

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

Question #5: For this question you need to create a T-chart and a graph to plot your data 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 your 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 bike 700 per minute, who will be the first to make to the finish line 2000m away?

Saturday, May 27, 2006

mr reece...?

i got a question...uh...hehe....are we supposed to add to our original growing post, cause thats waht ive been doing..or do we make a whole new post, cause thats what evryone else is doin......
cause right now i have all the 3 growing posts on my original one......sorry for the inconvience :-/

-michael

Tuesday, May 23, 2006

Andrea's growing post

*cheers* It logged in! It logged in! YAY! Yes, I know this is the second growing post.

1. (a) Create a T-Chart showing how many baseball cards Jack has at the end of the next 4 months.



(b) Create an algebriac formula based upon the problem above.
180+25(n)=280 n=month

(c) If Jack just turned 8 years old this month and Jack continues to buy the same amount of baseball cards each month, how many baseball cards will Jack have when he turns 12?

When Jack turns 12, he'll have a total of 1380 baseball cards.
180+25(48)=1380

2. Jackie is planning on having a pizza party with some of her friends. She is trying to figure out how many pizza's to order. She knows that each pizza has six slices of pizza.

(a) If Jackie thinks that there will be four people at the party (counting herself) how many pizzas should she order? Jackie will have to order 2 pizzas for the party.

(b) If two more people show up at the party, how many more pizza's does she need to order?
Jackie will have to order just one more pizza.

3.Kathy has $20 in her savings account. Each month she adds another $15 to her savings account. In order to calculate how much money she will have in one year Kathy has created this algebraic formula: 20+15n= savings amount.

(a) Calculate how much money Kathy will have in one year.
20+15(12)=200
Kathy will have $200.00 at the end of the year.


(b) Suppose Kathy counted wrong and she really has $25 in her account instead of $20. Change the algebraic formula to reflect this miscalculation. 25+15(12)=205 Kathy would have saved $205 instead of $200 at the end of the year.

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

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


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

Monday, May 22, 2006

peggys t-chart

growing post


A) Create a T-chart showing how many baseball cards Jack has at the end of the next four months.



b) Create an algebraic formula based upon the problem above. 180 + 25(n)= # of cards

180+25(4)= 280180 + 25(n)= # of cards


c) If jack just turned 8 years old this month and Jack continues to buy the same amount of baseball cards each month, how many baseball cards will Jack have when he turns 12?When

Jack turns 12 he will have collected a total of 1380 baseball cards. [ 180+25(48)= 1380]

2 . Jackie is planning on having a pizza party with some of her friends. She is trying to figure out how many pizza's to order. She knows that each pizza has six slices of pizza.

a) If Jackie thinks that there will be four people at the party (counting herself) how many pizza's should she order?

She would have to order 2 pizzas .

b) If two more people show up at the party how many more pizza's does she need to order?

If more people show up she will have to order 1 more pizza.

3) Kathy has $20 in her savings account. Each month she adds another $15 to her savings account. In order to calculate how much money she will have in one year Kathy has created this algebraic formula: 20+15n= savings amount.

a) Calculate how much money Kathy will have in one year.

Kathy will have saved up $200 in one year. [20+15(12)=200]

b) Suppose Kathy counted wrong and she really has $25 in her account instead of $20. Change the algebraic formula to reflect this miscalculation.

Kathy would have saved up $205 in a year. [25+15(12)=205]

Chenda's Growing Post..

Question one: Jack collets baseball cards. Jack has 180 baseball cards in his collection. At the end of each month Jack buys 25 baseball cards to add to his collection.

a) Create a T-Chart showing how many baseball cards Jack has at the end of the next 4 months


b)Create an algebraic formula based upon the problem above.
180 + 25 (m) = 280 number of cards

c) If Jack just turned 8 years old this month and Jack continues to buy the same amount of baseball cards each month, how many baseball cards will Jack have when he turns 12?
4 x 12 = 48
180 + 25 x 48 = 1380
When Jack turns 12 he will have 1380 baseball cards.

Question two: Jackie is planning on having a pizza party with some of her friends. She is trying to figure out how many pizza's to order. She knows that each pizza has six slices of pizza.

a) If Jackie thinks that there will be four people at the party (counting herself) how many pizza's should she order?
If she thinks that there will be four people at the party including herself she should get 2 pizza boxes.

b) If two more people show up at the party how many more pizza's does she need to order?
If two more people show up at the party she would need to order 1 more pizza box.

Question three: Kathy has $20 in her savings account. Each month she adds another $15 to her savings account. In order to calculate how much money she will have in one year Kathy has created this algebraic formula: 20 +15n = Savings amount

a)Calculate how much money Kathy will have in one year
20 + 15 (12)
15 x 12 = 180
20 + 180 = 200
Kathy would have 200 dollars in one year.

b) Suppose Kathy counted wrong and she really has $25 in her account instead of $20. Change the algebraic formula to reflect this miscalculation.
25 + 15 (12)
15 x 12 = 180
25 + 180 =205

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

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

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

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

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

Expression: In an expression we get to choose the value of the variable 3 + 4 =
Equation: In an equation the value of the variable is given 3 + 4n =19

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

A variable is the letter or symbol that represents an unknown number. We use one in algebra because we need to find the value that is unknown so the whole equation can work out and it can make things easier to figure.

3) Solve for N

a) since a square equals to 2 circles and theres like 2 squares on one side that would equal to 4 plus on the other side theres 9 circles and then you take away 9 from 4 which equals 5.. that means triangle = 5.

b) since we know that a square equals to 2 circles and on the second picture there is 6 of them and you multiply 6 and 2 this will give you 12 plus we know that 1 triangle equals to 5 circles and theres 2 so its 5 times 2 = 10 add them together and it gives you 22. and since theres 2 N's on the other side you divide 22 by 2 and that gives you 11 .so N = 11

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

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

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

C) (8 - 3)n + 7n + 8 = 4n + 40
5n + 7n + 8 = 4n + 40
12n + 8 = 4n + 40
12n - 4n = 40 - 88n - 32
8/8 = 32/ 8
n = 4

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

Chart For person on foot


Chart for biker


The first person that is done the race is the one walking/running by foot because they're done in 5 minutes and the person on the bike is finish a minute later (6 minutes).





marielles growing post

>>>>>>> `Growing Post for the week of May 15 to 20

QUESTiON 1:
Jack collects baseball cards. Jack has 180 baseball cards in his collection. At the end of each month Jack buys 25 baseball cards to add to his collection.

a) Create a T-Chart showing how many baseball cards Jack has at the end of the next 4 months

b) Create an algebraic formula based upon the problem above.
180 + 25(n)= # of cards
example: 180+25(4)= 280
"n" means the number of months.

c) If jack just turned 8 years old this month and Jack continues to buy the same amount of baseball cards each month, how many baseball cards will Jack have when he turns 12?
180+25(48)= 1380 When Jack turns 12 in 4 years & he continues to collect baseball cards, he will have a total of 1380 cards.

QUESTiON 2:
Jackie is planning on having a pizza party with some of her friends. She is trying to figure out how many pizza's to order. She knows that each pizza has six slices of pizza.
a) If Jackie thinks that there will be four people at the party (counting herself) how many pizza's should she order?
If there will be 4 people at the party, she will need to order 2 pizza's.
I got my answer by looking at the chart because if one person will eat 3 pizzas & there are 6 slices in one box, it will only be enough for 2 people; therefore she will need to order 2 pizzas for it to be enough for 4 people.

b) If two more people show up at the party how many more pizza's does she need to order?
If two more people show up, Jack will have to order 1 more pizza.
She will need to order 1 more pizza because if 2 boxes have a total of 12 slices, divided by the many slices one person shall get(3), it will equal to the many people sharing the pizza(4). It then means that she needs one more box for 2 other people since two people share one box.

QUESTiON 3:
Kathy has $20 in her savings account. Each month she adds another $15 to her savings account. In order to calculate how much money she will have in one year Kathy has created this algebraic formula: 20+15n= savings amount.
a) Calculate how much money Kathy will have in one year.
20+15(12)= 200
She will have $200 in her savings account in one year.

b) Suppose Kathy counted wrong and she really has $25 in her account instead of $20. Change the algebraic formula to reflect this miscalculation.
25+15(12)= $205 Cathy would then have 205 dollars in her savings account in one year.

QUESTiON 4:
a) 3n + 4n + 7 = 2n + 12
7n + 7 = 2n + 12
7n – 2n = 12 – 7
5n = 5
5/5 = 5/5
n=1


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


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


>>>>>>> ` Growing Post For the Week of May 23 to May 26
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.

In an algebraic expression we get to choose the value of the variable.
example: 3+4n =
"n" is the variable.

I an equation the value of the variable is already given.
example: 3+4n = 19


QUESTiON 2:
What is a variable and why do we use one in algebra?
A variable is a number with a value that is unknown and it is possible to change. It's a letter that represents a number & it can be used in an equation or an expression. We use variables in algebra like a symbol to represent any possible step in our pattern.


example:
  • 5 + n =8
  • c+4 =7
  • x/3 = 4


QUESTiON 3: Solve for "N".
For the first diagram, = 5 . It is 5 because if one square = 2 & theres 2 squares, subtract 4 circles from the side with 9 circles and 5 will be left over. That is how i got my answer.

For the second diagram, = 11. It is 11 because if on one side there are 6 squares & they each have a value of 2, multiply 2 by 6(number of squares) and it would equal 12. Then you add 10( 2 triangles added together : 5+5) it would then equal 22. 22 divided by 2 ( 2 's ) it would equal 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 = 12 - 7
5n = 5
N = 5/5
n = 1

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

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

Your 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 minutes. 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?


The first to make it to the finish line 2000m away is you because you can make it there in 5 minutes while your friend makes it there in 6 minutes.

>>>>>>> ` Growing Post Due Tuesday June 6

QUESTiON ONE : FormuLas .

Sentence 1:13 (scott's current age)x(variable) = 2(constant) .

CONVERTiON : 11+2 = Scott's Age .

Sentence 2 : 200(current money in bank)x(variable) + b = 80(constant)

CONVERTiON : 200+80n = amount of money in a year. ("n" is the number of months) . 200+80(12)=1160. If she saves her money, she will have $1160 in one year.

QUESTiON TWO : Creation .

a) Solve for "n" .
(9+3)n+10-4 = 8n+10+4
answer :
12n +10-4 = 8n+10+4 >> 12n+6 = 8n+14 >> 12n-8n = 14-6 >> 4n = 8 >> n = 8/4 >> n=2

b) Create a t-chart for the next 7 steps & a formula to for this problem .

formula : 0+2(n)+1 = # of tiles

QUESTiON THREE : RefLection .

One topic that i coloured red or yellow is "Can i use my t-chart to create an algebraic formula?". During this term i've learned how to create an algebraic formula & i've also learned how to use t-chart to help me figure it out. Besides using a t-chart to create a formula i've also learned how to create one using words.

QUETSiON FOUR : Preparing for the finaL exam .

I think that my weakest topic was figuring out the area of a shape that does'nt have the same measurement for each side.

example: Here, i would try to make this a bit easier to do by making separate shapes but then i would forget to subtract 3 ( area of separate shape ) .

The Second Growing Post.

Question # 1: Solve all three parts of the problem below.

Jack collects baseball cards. Jack has 180 baseball cards in his collection. At the end of each month Jack buys 25 baseball cards to add to his collection.

A) Create a T-chart showing how many baseball cards Jack has at the end of the next four months.


B) Create an algebraic formula based upon the problem above.

180+25(M)

c) If Jack just turned 8 years old this month and Jack continues to buy the smae amout of baseball cards each month, how many baseball cards will Jack have when he turns 12?

Jack would have 1380 cards when he turns 12.

NUMBER TWO

Question # 2: Use the Chart to figure out the questions below.

Jackie is planning on having a pizza party with some of her friends. She is trying to figure out how many pizza's to order. She knows that each pizza has six slices of pizza.

A) If Jakie thinks that there will be four people at the party (counting herself) how many pizza's should she order?

Jackie should order 2 pizzas.

B) If two more people show up at the party how many more pizza's does she need to order?

She needs to order 2 more pizzas.

Number Three

Question # 3: Answer the questions below based upon this information.

Kathy has $20 in her savings account. Each month she adds another $15 to her savings account. In order to calculate how much money she will have in one year Kathy has created the algebraic formula: 20 + 15n= savings amount

A) Calculate how much money Kathy will have in one year.

$200

B) Suppose Kathy counted wrong and she really has $25 in her account instead of $20. Change the algebraic formula to reflect this miscalculation.

20+25n=total savings

Mackenzie's second growing post

Question # 1: Solve all three parts of the problem below.

Jack collects baseball cards. Jack has 180 baseball cards in his collection. At the end of each month Jack buys 25 baseball cards to add to his collection.

A) Create a T-chart showing how many baseball cards Jack has at the end of the next four months.

B) Create an algebraic formula based upon the problem above.


c) If Jack just turned 8 years old this month and Jack continues to buy the smae amout of baseball cards each month, how many baseball cards will Jack have when he turns 12?

180+25(M) There are 12 months in a year. It will take 4 years for Jack to turn 12. so 4*12= 48= the variable.

180+25(48)= 180+1200=1380

When Jack turns 12 he will have 1,380 baseball cards.

Question # 2: Use the Chart to figure out the questions below.

Jakie is planning on having a pizza party with some of her friends. She is trying to figure out how many pizza's to order. She knows that each pizza has six slices of pizza.

A) If Jakie thinks that there will be four people at the party (counting herself) how many pizza's should she order?

Jackie should order 3 pizza's because each person eats 3 slices each.

B) If two more people show up at the party how many more pizza's does she need to order?

If two more people show up at her party she needs to order 1 more pizza.

Question # 3: Answer the questions below based upon this information.

Kathy has $20 in her savings account. Each month she adds another $15 to her savings account. In order to calculate how much money she will have in one year Kathy has created the algebraic formula: 20 + 15n= savings amount

A) Calculate how much money Kathy will have in one year.

20 + 15(12)= 20 + 180=200 In one year Kathy will have $200 in her savings account.

B) Suppose Kathy counted wrong and she really has $25 in her account instead of $20. Change the algebraic formula to reflect this miscalculation.

25 +15n= savings amount

Mackenzie

Scribe notes

Hi, it's Meldee. Sorry if the scribe notes are late, I was at my grandma's house for the weekend and I just got back home today. Well, here goes. On friday, we talked about Words and Symbols. This is what Mr. Reece told us to write down in our notebooks (the answers will be right beside the questions):

1. A number increases by 5 -n+5
2. A number decreases by 7 -n-7
3. A number divided by 3 - n divided by 3 (my keyboard doesn't have a divide sign...)
4. The sum of 7 and a number -7+n
5. A number muliplied by 4 -n*4
6. 8 subtracted from a number - n-8
7. A number subtracted from 9 -9-n
8. Half of a number -n divided by 2
9. 25 divided by a number -25 divided by n
10. 10 decreased by n -10-n

After that, we talked about Algebraic Expressions vs. Equation. We had ALOT to take down for this. Here's the stuff you need to take down:

Expression: In an expression, we get to choose the value of the variable.
Example- 3+4n=??

Equation: In an equation, the value of the variable is given.
Example- 3+4n=19

Steps for solving algebraic equations
1. Solve all brackets.
(8-2)n+5n=18+2n becomes 6n+5n=18+2n
2.Combine like terms that are on the same side of the "=" symbol (This really doesn't make sense...no offence Mr.Reece)
{6n+5n}=18+2n becomes 11n=182n
3. Combine all variables onto one side of the "=" sign.
11n=18+2n becomes 11n-2n=18+2n-2n then it becomes 9n=18
4. Solve the given variables.
9n=18 becomes 9n= 18
--- ---
9 9
So basicly we find out what n is equal to. N=2.
Well, that's all. Later.
---Meldee

Saturday, May 20, 2006

Brain Teaser

Three people share a car for a period of one year and the mean number of kilometers travelled by each person is 152 per month. How many kilometers will be travelled in one year?

Wednesday, May 17, 2006

`brain teaser.

Moon Dance

On the planet Mathemarvia, there are two beautiful moons. Oin is purple and Datu is gold. Oin is full every 32 Mathemarvian days, while Datu moves more slowly and is full only every 44 Mathemarvian days. The moons are named after a famous couple in an ancient legend. According to the legend, the couple is allowed to dance together only when both moons are full on the same night.

If both moons are full tonight, how long will it be until Oin and Datu dance again?

Monday, May 15, 2006

Voluntary scribe notes

Ok, since no one has been the scribe for how long, I thought it would be nice if I "voluntaraly" did the scribe notes. Well, today in class, we talked about the growing post and that it was due either on blogger by tomrrow morning or on paper by 3:30 or 3:35. We also got a new growing post sheet and that we'll be talking about it through out the week. The next growing post sheet isn't due until next tuesday, which will be May 23 with the same options as the 1st growing post. We also did a math sheet that has to do with adding, dividing, multipling and subtracting decimals. The sheet also told us to round to a specific place value. That sheet is homework and is due tomrrow. Well, there you have it. The "voluntary scribe notes" I took the time to do. Oh and Mr. Reece, I won't be at school tomrrow because I'm sick so I hope i'll get the marks for tomrrow for doing this.

Till I choose to do this again, Meldee

Mackenzie's Growing Post

Question # 1. What is meant by the terms Rotation Symmetry and Reflection Symmetry ? How does this relate to pentominoes? Explain these terms so that anyone who reads your post understands what u mean. Rotation Symmetry is a symmetry that respects all rotations. Like say I have a piece a paper. No matter how many times i roatate it, it is still the exact same piece of pater.

Reflection Symmetry is like almost like a reflection of something in the mirror. For example: say if I took a piece of paper and folded it in half at the axis it will match up.

There are 12 diffrent types of pentominoes named after letters in the alaphabet because that is what they look like. When the pentominoes are rotated or reflected it does not count as a diffrent pentominoe.The reflection and rotation symmerty realate to pentominoes because you can rotate and reflect them.

Question # 2. Create a pattern. You must represent this pattern both pictorially(i.e. with a picture or a diagram) and with numbers. You must show the first 4 steps of your pattern.

Quwstion # 3. Describe in words what is occuring with your pattern and if ypur pattern has an ending or if it continues on idefinately. Make sure that your explaination is clear enough that the pearson reading your description could understand your pattern without seeing your diagram.

In my pattern one block is being added on to it every time. In the first pattern it starts off with 1 block then in the second pattern it adds on one more block to the side. In the third pattern it is adding on one more block to the side, also the same thing is happening with the fourth pattern. My pattern does not have an ending it goes on indefinately.

Question # 4. Create a T-chart that shows what is happening with your pattern. You must show the first 4 steps of your pattern with the T-chart.

Mackenzie

Sunday, May 14, 2006

The Growing Post .

Q#1: What is meant by the terms "Rotation Symmetry" and "Reflection Symmetry"? How does this relate to pentominoes? Explain these terms so that anyone who reads your post understands what you mean.

A:Rotational symmetry - is symmetry with respect to some or all rotations in m-dimensional Euclidean space. Or in EASIER words . No matter how much it is rotated . The object stays the same .

Reflection Symmetry - The axis of symmetry of a two-dimensional figure is a line such that, if a perpendicular is constructed, any two points lying on the perpendicular at equal distances from the axis of symmetry are identical. Another way to think about it is that if the shape were to be folded in half over the axis, the two halves would be identical: the two halves are each other's mirror image. Thus a square would have four axes of symmetry, Because there are four different ways to fold it and have the edges all match. A circle has infinite axes of symmetry, for the same reason.

This can relate to pentominoes because it can be alike. such as reflection symmetry. if you have pentominoes as a square with four units , put an imaginary line perpendicular at equal distances from the azis of symmetry are the same .


Q#2 Create a pattern. You must represent this pattern both pictorially (i.e. with a picture or diagram) and with numbers. You must show the first 4 steps of your pattern.




Q#3: Describe in words what is occuring with your pattern and if your pattern has an ending or if it continues on indefinately. Make sure that your explanation is clear enough that the person reading your description could understand your pattern without seeing your diagram.

A: This pattern starts out with one " crown " can also be replaced by a tile . But this looks cool . And for every pattern another ONE crown/tile is added to the bottom or the top . This pattern can go on forever and make a long rectangle .

Q#4:Create a T-Chart that shows what is happening with your pattern. You must show the first 4 steps of your pattern with the T-chart.



nathaniel casalla ..

Growing Post

(May7-13)

[1] Rotational Symmetry is symmetry with respect to rotation. For example, if a shape is rotated from any point and the shape will still be the same, preserving orientation.

Reflection Symmetry is the most common sype of symmetry. It is with respect to reflection meaning that, if you had an imaginary line going down the middle of most shapes, each side would look exactly the same.

[2]




















[3] This pattern starts out as a column of 3 tiles. 1 column of 3 tiles [or just 3 tiles] are added each step to the pattern. This will can go on forever and will eventually make a horizontal recatngle.

[4]












__________________________________________________________________

(May15-20)

[1] A)


















B) 180+25(M)

C)Jack would have 1380 cards by the time he turns 12.

[2] A) Jackie should order 2 pizzas.

B) She would need to order 2 more pizzas.

[3] A) $200

B) 20+25n=Total Savings


__________________________________________________________________

(May23-26)

[1] An equation comes with the value of the variable(s) that are given, while in expressions, the value of variable(s) can be chosen.

Equation: 8+2n=20

Expression:8+2n=

[2] Variables are numbers that has an unknown value with the potential to change. Variables can be in equations or expressions.

[3] N=11 because:

circles=1

1 square=2 circles

1 triangle=5

2 'N''s=22(6 squares and 2 triangles) 22/2=11

[4] A) 3n+4n+7=2n+12 > 7n+7=2n+12 > 7n=2n+5 > 5n=5 > n=1

B) 8n-(4+9)=11 > 8n-13=11 > 8n=24 > n=3

C) (8-3)n+7n+8=4n+40 > 5n+7n+8=4n+40 > 12n+8=4n+40 > 12n+4n+32 > 8n=32 > n=4

[5]







Saturday, May 13, 2006

michael's growing post

Week of Sunday, May 7, 2006, to Saturday, May 13, 2006

#1: What is meant by the terms "Rotation Symmetry" and "Reflection Symmetry"? How does this relate to pentominoes? Explain these terms so that anyone who reads your post understands what you mean.

Rotation symmetry is symmetry with respect to rotations, like isometries that preserve orientation. For instance, you can take any point on any shape, and rotate on the point, and it'll still be the same shape, thus preserving the orientation.

Reflection symmetry is symmetry with respect to reflection, and is the most common type of symmetry. It consists of a "axis of symmetry" which is an imaginary line that if you put a perpendular, any 2 points on that perpendicular on opposite sides of equal distances from the axis of symmetry are exactly the same.

These two terms relate to pentominoes because you can rotate (like in rotational symmetry) and flip (like in refectional symmetry) them.

#2 Create a pattern. You must represent this pattern both pictorially (i.e. with a picture or diagram) and with numbers. You must show the first 4 steps of your pattern.

















#3: Describe in words what is occuring with your pattern and if your pattern has an ending or if it continues on indefinately. Make sure that your explanation is clear enough that the person reading your description could understand your pattern without seeing your diagram.

In this very crude-made pattern, it starts as a rectangle that consists of two squares, horizontally.

Then in the next step, it adds another rectangle made of two squares to the bottom horizontally, making a square made of four smaller squares.

In the third step, it does a similar thing by adding another two-square rectangle only it's on the right of the shape, and is vertical, creating a six-square rectangle horizontally, with two rows and three columns.

And in the fourth shape it adds yet another two-square rectangle on the bottom this time, horizontally, aligned to the left side of the shape, creating a shape close to that of a square with nine smaller squares, only with a square missing at the bottom-right corner of it.

This pattern is able to go on forever and ever, ultimately creating a long upside-down, flipped-horizonally letter L.

#4: Create a T-Chart that shows what is happening with your pattern. You must show the first 4 steps of your pattern with the T-chart.

















- michael


Week Of Sunday, May 14, 2006 To Saturday, May 21, 2006


Question #1: Solve all 3 parts of the problem below




Jack collects baseball cards. Jack has 180 baseball cards in his collection. At the end of each month Jack buys 25 baseball cards to add to his collection.


a)Create a T-Chart showing how many baseball cards Jack has at the end of the next 4 months.


b)Create an algebraic formula based upon the problem above

(n=month)

185+25(n)


c)If Jack just turned 8 years old this month and Jack continues to buy the same amount of baseball cards each month, how many baseball cards will jack have when he turns 12?

He will have 1385 cards when he's 12

Question #2: Use the chart to figure out the questions below.

Jackie is planning on having a pizza party with some of her friends. She is trying to figure out how many pizza’s to order. She knows that each pizza has six slices of pizza.

a)If Jackie thinks that there will be four people at the party (counting herself) how many pizza’s should she order?

She should order 2 pizzas.


b)If two more people show up at the party how many more pizza’s does she need to order?

She should order 3 pizzas.

Question #3: Answer the questions below based upon this information

Kathy has $20 in her savings account. Each month she adds another $15 to her savings account. In order to calculate how much money she will have in one year Kathy has created this algebraic formula: 20 + 15n = Savings amount

a) Calculate how much money Kathy will have in one year

She'll have $200 in one year


b) Suppose Kathy counted wrong and she really has $25 in her account instead of $20. Change the algebraic formula to reflect this miscalculation.

25+15n= savings amount

Question #4: Solve the following equations. Show all of the steps that are needed.
a) 3n + 4n + 7 = 2n + 12
---> 12n + 7 = 2n + 12 ---> 12n - 2n + 7 = 2n - 2n + 12 ---> 10n + 7 = 12 ---> n=0.5


b) 8n – (4 + 9) = 11 ---> 8n - 13 = 11 ---> n=24

c) (8 – 3 )n + 7n + 8 = 4n + 40 ---> 5n + 7n + 8 = 4n + 40 ---> 12n + 8 = 4n + 40 ---> 12n - 4n + 8 = 4n - 4n + 40 ---> 8n + 8 = 40 ---> n=4


Week Of Sunday, May 22, 2006, to Saturday, May 27, 2006



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 equation already has the value of the varible(s) given, while in an expression, the value of the variable(s) can be chosen.

An equation is something like: 4+2n=12.

An expession is something like: 4+2n=.

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

A variable is a number with an unkown value that has the potential to change, and can be in an expression or an equation.

Question #3: Solve for N

N is equal to 11, because...

a square is equal to 2, a circle is equal to 1, and since a picture of 2 squares and a triangle is equal to 9 circles, we can say that because 2 squares is 4 and leaves 5, a triangle is equal to 5.

and since 2 "N"s are equal to 6 squares and 2 triangles (6 squares+2 triangles=22, and 22/2=11), N is equal to 11.

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

A) 3n+4n+7=2n+12 ---> 7n+7=2n+12 ---> 7n=2n+5 ---> 5n=5 ---> n=1

B) 8n-(4+9)=11 ---> 8n-13=11 ---> 8n=24 ---> n=3

C) (8-3)n+7n+8=4n+40 ---> 5n+7n+8=4n+40 ---> 12n+8=4n+40 ---> 12n=4n+32 ---> 8n=32 ---> n=4

Question #5: For this question you need to create a T-chart and a graph to plot your data 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 your 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 bike 700 per minute, who will be the first to make to the finish line 2000m away?



























You will be first to make to the finish line.

Growing Post #4

Question #1: Formulas

Sentence 1: 13x=2 converted to....11+2=Scotts age, which is 13...(since this was easy, i think i did something wrong, pls tell me mr reece!)

Sentence 2: we can say that she makes $80 a month... 200x+b=80 (b=months) converted: 200+80n= (n=months) so in this case...200+80(12)=1160...so she'll have a whopping $1160 after one year.

Question #2: Creation

My Question and Answer 1: Solve for n:

3n-7+9=14.... to solve this problem...

3n-7+9=14--->3n-7+7+9-9=14--->3n=12--->(since 12/3=4)n=4

My Question and Answer 2:

What will be the next 2 steps in the pattern, and create a t-chart for the first 6 steps.

Question #3: Reflection

A topic that I colored red or yellow is "Can I create a t-chart for my pattern?". I have learned more easier ways to transfer data between t-charts, graphs, and equations, as now I know that the "x" value should be on the left of the chart and opposite for the "y" value.

Question #4: Preparing For The Final Exam

I think that I have done well this year in all topics but I think my weakest topic is....the measurement of area of an irregular shape because I need more practice on doing this. Like for instance...

in this photo, i would make those two 3x3 squares their own shape, but on the 14cm part, i woulden't subtract 3 from the calculations.

Wednesday, May 10, 2006

Growing Post Assignment due Monday May 15th

If you can't remember what is required for the growing post assignment click here to go to the post on my blog.

Sunday, May 07, 2006

im baa-aaack.....lv 6

A box contains two coins. One coin is heads on both sides and the other is heads on one side and tails on the other. One coin is selected from the box at random and the face of one side is observed. If the face is heads what is the probability that the other side is heads?


i got this here.


- michael