5-B-1: The Magic of Proportions

July 1, 2009 slgm08

Vacation Days

I just started a new job and was very curious as to how many vacation days I had accrued so far.  I went to my boss and he told me that after 9 months of employment, I had earned 6 days of vacation time. I was very excited and want to take a trip 2 years from now. How many vacation days will I have then?

The first thing I need to do is convert my 2 years to months, which would be 24 months.

Set up proportion:                                                      cartoon-palm-tree-sunglasses

n days =    6 days

24 months      9 months

Cross Multiply and Divide:

n x 9 = 24 x 6

9n = 144

n = 16 days

I will have 16 days of vacation in 2 years. Beach, here I come!!!!

Driving to Work

If a trip between work and home takes me 15 minutes each way, how much time will I spend in a 5-day work week traveling back and forth to work?

Before setting up my proportion, I first need to figure out how many minutes I travel in one day. 15 x 2 = 30 minutes.

Set up proportion:                                                    cartoon-car

n minutes30 minutes

5 days            1 day

Cross Multiply and Divide:

n x 1 = 5 x 30

1n = 150

n = 150 minutes

I travel 150 minutes each week to work, which is 2 ½ hours. Wow, that’s a lot of driving!!

Entry Filed under: Proportions

2 Comments Add your own

  • 1. Judy  |  July 3, 2009 at 5:17 pm

    Shea,

    Your real-world examples for the use of proportions are excellent. Students will be able to relate to them and see the value of this concept.

    Judy

  • 2. Andrea  |  July 6, 2009 at 11:27 pm

    Shea,

    I really liked your real world proportion problems. I also liked how you made the students have to convert and explained the solutions very well.

    Andrea


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