## Thursday, October 13, 2011

### Nathan's Proportion Post

proportion- an equation which states that two ratios (fractions) are equal

rate- a comparison of two quantities measured in different units

55 mph

ratio- a comparison of quantities that have the same units

Task 2:

1) 5 hours to travel 360 miles is about _____mph

÷ 5
miles 360 72
_____ ______ = _______
hours 5 1
÷ 5

5 hours to travel 360 miles is about 72 mph.

2) 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.

apple 25 ml 100 ml
_______ _______ = _________

hours 50 ml 200 ml

The playgroup worker should increase the orange juice quantity to 200ml to keep it in proportion.

Task 3

The three ways you can prove that equivalent ratio statements are true are...

Criss-cross:
Horizontal:

Vertical:

Task 4

Video:

Task 5

1. No, this is not fair

x 30 000 000
2. \$ 100 \$ 3 000 000 000
______ = _______________

15 years 450 000 000 years
x 30 000 000

If the judge used proportional reasoning, then the CEO should get 450 million years in prison to be fair. That's why I don't think this is fair.

3. If I was the judge, I would have switched it around. I would have given the CEO 15 years and the homeless man 3 years.