## Wednesday, October 12, 2011

### Ghelo's Propotion Post

Ratio - A comapison of two numbers of the same kind.
Types of Ratios
Two - Term Ratio - Compares two quantities in the same units
Three - Term Ratio - Compares three quantities in the same units.
Part - to -Part Ratio - Compares different parts of a group to each other.
Part - to -Whole Ratio - Compares one part of a group to the whole group
Rate
- A comparison of two quantities measured in different units. Ex. \$1.69 per 100 grams or \$1.69/100g is a rate fro purchasing bulk food. 72 beats/ min is a heart rate.
Proportion - An equation which states that two ratios or fractions are equal.

5 hours to travel 360 miles is about _____mph My answer is 72 mph because you can divide 5 by 5 to get 1 and divide 360 by 5 to get 72. So you travelled 72 miles in 1 h.

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

My answer is 200ml because to get 100ml of apple juice you multiply 25ml by 4. So you multiply the 50ml of orange juice by 4 to get 200ml.

What are the three ways you can prove that equivalent ratio statements are true?
3/4 = 12/16 or 4/9 = 16/32

First Way : you can do it vertically. You divide the numerator to the denominator for each ratios.

Second Way : you can go diagonally. You can multiply the top left to the bottom right and the top right to the bottom left.

Third Way : you can do it horizontally. You can divide the top left to the top right. Then, you divide the bottom left to the bottom right.

Here is a video about proportion !! Hope it works :) !!
(I couldn't embed it so I just put it in a link)

1. Does this seem fair ?
No, I think this isn't fair.

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

No, I don't think this is fair because the CEO stole \$3 billion and was only sentenced to jail for 40 months but the homeless man robbed a back but only took \$100 just to feed himself . He then surrenders himself to the police because he felt guilty and said his mother didn't raise him that way,but he was still sentenced to 15 years of prison.

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

If I was the judge I would have sentenced the CEO to 15 years of prison and the homeless man to 1 month because he was honest and he just wanted to be nourished, but he still did the wrong thing by robbing a bank no matter what amount of money he took, so thats why he should be sentenced to 1 month of prison instead of 15 years.