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Sunday, October 14, 2012

Aniane's Proportion Post

Part 1

Ratio - The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Can be written as:

Rate - Compares two quantities measured in two different units.
Example: 1000000 km/ second

Proportion - A part, share, or number considered in comparative relation to a whole.

Part 2

1. 5 hours to travel 360 kilometres is about 6 km/h. 1. 300 mins/360 km = 60 mins/ 72 km

360 ÷ 60 = 6 
6 km/h

2. Emma saves 28 cents of every dollar that she earns.  Emma earned $75 last week.  How much money did Emma save last week? 2. 28 cents/ 100 cents = 268 cents/ 7500 cents. 

0.28 x 75 = 21

Part 3

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

Vertical Multiplication:

Horizontal Multiplication:

Cross Multiplication:

Part 4

Part 5:

1. This does NOT seem fair.

2. The ex CEO stole 3 billion dollars and is sent to prison for only 40 months, while the homeless man only stole $100 and sent to prison for 15 years, which is pretty darn long considering the circumstances.

3. This, for me, is unacceptable. A homeless man robbed a bank, only trying to get $100 to stay at the detox centre and got arrested and got sentenced to jail for 15 years. And the CEO only got 40 months for stealing $3 billion.

4. OK, I know stealing is wrong, but come on, the circumstances made the verdict unfair. If I were the judge I would make a more fair and just verdict to both the CEO and the homeless man.

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