Proportions and Measurement Systems

1
Proportions and Measurement Systems

• Review the English measurement system and the
  metric system
• Convert measurement units using conversion
  factors
• Convert measurement units using dimensional
  analysis
• Learn and use the term rate

2

• Have you traveled to another country? Have you
  ever converted money when you have traveled?
• Have you purchased gasoline by the liter? How
  does it compare to buying it by the gallon?

3
Converting Centimeters to Inches

• Page 108
• Materials Needed
• Metric Measuring Tape
• Feet-Inches Measuring Tape
• Template for collecting data
• Communicators

4
Converting Centimeters to Inches

• In this investigation you will find a ratio to
  help you convert inches to centimeters and
  centimeters to inches.
• Then you will use this ratio in a proportion to
  convert some measurements from the system
  standard in the U.S. to measurements in the
  metric system and vice versa.

5

• Measure the length and/or width on each of six
  different sized objects.
• Record the inch measurement and the centimeter
  measurement in a table.

6

• Complete step 2 3 of the investigation.
• Write your response to step 3 on your
  communicator.

7

• Complete step 4 by writing a sentence that
  explains the meaning of the ratio you wrote in
  step 3.

My ratio of centimeters to inches means . . .
8

• Complete step 5
• Use your ratio to set up a proportion
• Use the blank side of the communicator to show
  how you convert the length to the new measurement.

9

• Complete step 6
• Show your work on the blank side of the
  communicator.

10

• Jonas drove his car from Montana to Canada on
  vacation. While there, he needed to buy gasoline
  and noticed that it was sold by the liter rather
  than by the gallon. Use the conversion factor at
  the right to determine how many liters will fit
  in his 12.5 gallon gas tank.
• Record your solution on your Communicator.

1 gallon 3.79 liters
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12
This cable car goes from one peak on Whistler
Mountain to another peak. The cable car or
gondola is moving at a rate of 24.6 feet per
second. How fast is this in miles per hour?
13

• A radio-controlled car traveled 30 feet across
  the classroom in 1.6 seconds. How fast was it
  traveling in miles per hour?
• Write a ratio for the speed of the car in feet
  per seconds. Record this on your Communicator.

14

• Since multiplying by 1 does not change the value
  of a number or ratio you can multiply by a
  conversion factor that equals one.