## Saturday, November 14, 2009

### How Laura Saved You All From Aliens! :)

AAAAAAAH!!!!!!!!!!!! ALIENS ARE INVADING AND WON'T LEAVE UNTIL THEY SEE 3 PROPORTION QUESTIONS DONE CORRECTLY!!!!!!!!!!!!!!!!!!! WHAT ARE WE GOING TO DO ?!?!?!?!?!?!?!?!?!?!?!?!?!?!?!?!?!

Well... first we are going to do question 8, then question 12, then question 24. If that doesn't work....RUN FOR YOUR LIVES!!!!!!!!!!!!!!!

Question 8: Determine the missing values...

a) 2/3 = ?/15

OK, as you can see we have been given 3 pieces of the puzzle; the first numerator (2), and both of the denominators (3, 15). Now all we need to find is the second numerator. First of all, how did we get to the second denominator? (15), 3-15.

15/3=5- This means that we multiplied by 5 to get the second denominator. This also means that we have to multiply the first numerator by 5 to get the answer, because WHATEVER YOU DO TO THE BOTTOM YOU DO TO THE TOP. And vise-versa.

2 x 5= 10.- 10 is the answer. 2/3 = 10/15.

b) ?/5 = 14/35

3 pieces: both denominators (5, 35)

2ND numerator (14)

5 to 35: 35/5= 7

14/7=2

2/5= 14/35.

c) 30/45 = 6/?

3 pieces: Both numerators (30, 6)

1st denominator (45)

30 to 6: 30/6= 5

45/5= 9

30/45 = 6/9.

d) 3/? = 12/36

3 pieces: Both numerators (3, 12)

2ND denominator (36)

3 to 12: 12/3= 4

36/4= 9

3/9 = 12/36.

OK EVERYBODY! YOU CAN COME OUT FROM YOUR CLOSETS, THE ALIENS ARE STARTING TO BACK OFF! HOWEVER, WE ARE ONLY A 3RD OF THE WAY THERE AND THEY STILL THINK WE ARE TOO STUPID TO STOP THEM! SO HERE IS QUESTION 12 TO PROVE THEM WRONG!

Question 12:

Set up a proportion for each situation using a variable. Do not find the answer.

a) Walter makes his own oil and vinegar dressing. His recipe calls for 175 mL of olive oil and 50 mL of vinegar. What amount of vinegar does he need to mix with 300 mL of olive oil?

Ok, so we know that for every 175 mL of olive oil there is 50 mL of vinegar.

(175 mL OO/50 mL V)

Now we need to use that information to solve for 300 mL of olive oil.

Our proportion would be 175 mL OO/ 50 mL V = 300 mL OO/ ? mL V.

b) A baseball player has a home run to strikeouts ratio of 3:17. (I wish I could play that good). How many home runs should he hit if he strikes out 187 times?

So far we know that for every 3 home runs, he has 17 strikeouts. (3 HR/ 17 SO).

Now we need to use that information to solve for 187 strikeouts.

Our proportion would be 3 HR/17 SO = ? HR/ 187 SO.

TAKE THAT YOU ALIENS!!! I ONLY HAVE ONE MORE QUESTION LEFT AND THEN YOU GUYS ARE TOAST!!!

Question 24:

a) Describe a pattern you could use to find the next fraction in the following set of fractions.

1/2 2/4 3/6

One pattern I noticed was; when the numerators increase, they increase by 1, and when the denominators increase they increase by 2. Which would mean that the next fraction would be 4/8.

b) Describe a pattern you could use to find the next fraction in the following set of fractions.

5/6 10/12 15/18

One pattern I noticed was; whenever the numerators increase, they increase by 5 and whenever the denominators increase they increase by 6. This means that the next fraction would be 20/24.

c) Choose any pair of fractions from part A or part B. Multiply the numerator of one fraction by the denominator of the other fraction. Repeat for the two other fractions in the same set. What do you notice about the two products?

Let's choose 5/6 and 10/12.

5 x 12= 60

- They have the same outcome.

6 x 10 = 60

d) What prediction could you make about the cross-products of any pair of equivalent fractions? Test your prediction on another pair of equivalent fractions.

*My prediction is that the cross-product of every equivalent fraction will be the same.*

2/4 3/6

2 x 6 = 12

- IT WORKS!!! :)

4 x 3 = 12

THAT'S RIGHT ALIENS!!! BEAT IT!!!!!!!!

You can all thank me on Monday for saving your lives. :)

~Laura~

#### 1 comment:

1. Oh thanks Laura for saving our lives. And also such a funny story! Anywho, you had explained your answers very well! Awesome Job Laura!