Monday, May 22, 2006

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 ) .

6 Comments:

At 5:32 PM, Blogger angelic72 said...

pretty t-chart Marielle =P

 
At 5:28 PM, Blogger Mr. Reece said...

beautiful T-Chart.

What does "n" stand for in 1b?

How did you get the answers in 2a and 2b?


great job otherswise. Remember though that you didn't have to answer question 4 till the next growing post

 
At 5:52 PM, Blogger Mr. Reece said...

Your mark is 17/17.

 
At 7:11 PM, Blogger michael_841 said...

good job marielle...haha remember our arguement? im right!

 
At 6:53 PM, Blogger angelic72 said...

PRETTY GRAPH!!!=P

 
At 11:05 PM, Blogger Mr. Reece said...

You did a great job with this post. The only problem is that you have minutes and distance mixed up on your graph. The minutes should be on the x-axis and the distance on the y-axis, since the amount of time that has past determines how far each person has gone.

Otherwise great job

 

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