Unit analysis notes
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Unit analysis notes Unit analysis notes Document Transcript

  • Algebra 2August 16, 2011<br />Dimensional Analysis<br />Measurements are more than numbers—they are also ___________________________.<br />A mathematical tool, called a __________________________________, is used to convert between units.<br />A unit factor is a __________________________ equal to ______________.<br />
    • Because it is equal to 1, multiplying a measurement by a unit factor does not change the _______________________ of the measurement, it only changes the _______________.
    StepsExampleConvert 3.5 km to millimeters<br />EX2:How many minutes are in one day?<br />EX3:55 mph is how many feet per second?<br />1 mile = 5280 feet<br />1 minute = 60 seconds<br />1 hour = 60 minutes<br />EX4:You are driving your car in Germany; the speed limit is 90 k/h. You’re speedometer only has miles per hour. How fast can you go?<br />Homework:<br />40 miles per hour is how many feet per second?<br />One gallon for twenty miles is how many dollars per day?<br />1 hour to travel 55 miles<br />1 gallon is $3.60<br />1 driving day is 10 hours<br />240 milliliters in 12 hours is how many microdrops per minute?<br />60 microdrops = 1 milliliter<br />1 hour = 60 minutes<br />Prescription dosage for young children may be based on their age relative to 150 months, as 150 months is considered “adult” for many prescriptions. If the adult dosage is 500 milligrams, how many milligrams should a 1-year-old infant receive?<br />You are on a part of a 1500-mile trip where gas stations are far apart. Your car is averaging 40 miles per gallon and you are traveling at 60 miles per hour. The fuel tank holds twelve gallons of gas, and you just filled the tank. How long is it before you have to fill the tank again?<br />