## Wednesday, October 12, 2011

### Alyshia's Proportion Post

Ratio:

Two-term ratio- compares two quantities measured in the same units (ex: there is a bag with 20 marbles. What is the two-term ratio of black marbles to red marbles)? 10:4.

• Three-term ratio- compares three quantites measured in the same units (ex: what is the three-term ratio of black,red and blue marbles)? 10:4:6.

• Part-to-part ratio- compares different parts of a group to each other (ex: what is the part-to-part ratio of blue to red marbles)? 6:4

• Part-to-whole ratio- compares one part of a group to the whole group (ex: what is the part-to-whole ratio of blue marbles to all the marbles)? 6:20

Rate- a comparison of quantities measured in different units (ex: \$1.69 per 100 grams or \$1.69/100g)

Proportion- is an equation which states that two ratios or fractions are equal (ex: 3/8 = 9/24)

5 hours to travel 360 miles is about _____mph The answer to that is 72 mph.

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.The answer is 200ml. Task 3: What are the three ways you can prove that equivalent ratio statements are true? 3/4 = 12/16 or 4/9 = 16/32

1. One way you can find out that equivalent ratio statements are true is that you divide the numerator by the denominator. ( vertical )

2. The second way you can find out that equivalent ratio statements are true is that you divide the left numerator to the right numerator and then the same with the denominators, divide the left denominator to the right denominator. ( horizontally )

3. And last but not least is that you divide the left numerator to the right denominator and the right numerator to the left denominator. ( diagonally )

1. Does this seem fair? No, this does not seem fair.

2. With what you know about proportions look and read what is in the image above. Does it seem just and fair? Why have you made this choice? No, this does not seem fair because the homeless guy has to be in jail for 15 years just for stealing \$100 and even giving it back the next day because he felt bad for stealing it while the other guy just has to stay in jail for 40 months for tricking someone to give him \$3 billion dollars.

3. What would you have done if you were the judge? If I was the judge I would've let the homeless guy free and give money so he could buy food and clothing and maybe a shelter for himself. And for the other guy I would've sentenced him for 10 years.