Thursday, October 13, 2011

Michael's Proportion Post

Proportion: A proportion is a equation that states 2 ratios (fractions) are equal.

Example: 1 pound of dog food cost \$2.50. How much would 7 pounds of dog food cost?
7 pounds of dog food would cost \$17.50

Ratio: A ratio is used when you compare two quantities together

Example:

The ratio of grey blocks to white blocks
is 3 : 5

Rate: A comparison of two quantities measured in different units.

Example: If a large can of tomato sauce cost \$6.00 and had 500ml , a medium one cost \$3.50 had 300ml , and a small one costed \$2.00 that had 200ml . Which can of tomato sauce is the best deal?

Here you can see that the small can of tomato sauce is the best deal because, 100ml of small tomato sauce cost 1 dollar
85 ml of medium tomato sauce cost 1 dollar
83 ml of large tomato sauce cost 1 dollar

1st: 5 hours to travel 360 miles per hour is about ___mph.

5 hours to travel 360 miles is about 72 mph.

2nd: As a playgroup worker, if I increase the amount of apple juice I am serving at the playgroup 25 ml too 100 ml, how much should I increase the orange juice to, to keep the quantities in the same proportion? The orange juice is 50 ml to start with

What are the three ways you can prove that equivalent ratio statements are true?
3/4=12/16

1. Does this seem fair?

No, this does not seem fair.

2. With what you know about proportion look and read what is in the image above. Does it seem just and fair ? Why have you made this choice ?

Any sane person would automatically know this was not fair. I decided this because Allen stole a billion dollars and got approximately 3 years. While a homeless man, by the name of, Roy was sentenced to 15 years in jail, for stealing \$100.. which he returned.

3. What would you have done if you were the judge ?

If I were the judge I would have sentenced Allan at least 2x longer than Roy's original sentence. And I would have sentenced, Roy to a maximum of 1 year because he was honest and turned himself in and pleaded guilty.