Activity_3_Name_taken_off.docx - Activity 3 Problem Solving...

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Activity 3 Problem Solving Learning Objectives : Upon completion of this activity, students will: 1. Master the use of unit conversion in solving problems 2. Learn how to convert from one set of units to another. 3. Become familiar dimensional analysis or the unit factor method Mathematics is essential to science; often call the language of science. Dimensional Analysis is a process that is used to help solve problems in science. Unit conversion is required because all quantities in a problem must have units belonging to the same system. Unit conversions are required in many problems involving physical quantities. Engineers, health professionals, biologists and other scientists find unit conversion a necessary part of their jobs, and in everyday life, measures of volume commonly need to be converted, e.g. cups to pints, tablespoons to teaspoons, liters to gallons. Dimensional Analysis, Unit Analysis or Factor Label method Solving Problems using units. Units may be used as guide in solving problems. First determine what units you are given initially, then decide what units are needed to solve the answer. Finally the unit conversion factors will take you from the given units to the units needed in the final answer. If the units cancel out properly, chances are you are doing the right thing!. The basic setup is Sometimes the path from what given unit to the needed unit cannot be completed with one simple unit factor. Unit factors or equivalences are added until the new units are the same as the units needed to solve the problem. Each unit factor has a denominator equivalent to the numerator but in different units. For example, convert 10 feet (ft) to meters (m). If we know that 12 inches is equivalent to 1 foot, we can write the equivalence as 12 in = 1 ft and the unit factor as We can solve for the answer by setting up the following string of conversion factors using several other equivalences (2.54 cm = 1 in; 100 cm = 1 m) : 10.00 ft 1 × 12 . 1 ft × 2.54 cm 1 . × 1 m 1 cm = 3.05 m If I had known different equivalences, the problem can still be solved using the same process. Notice that in each successive unit factor, the units in the denominator cancel the unit in the numerator. The rules for significant figures should be used to determine the final answer. Page 1
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Activity 3 Page 2
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Activity 3 Activity 3 Name ______ Part I. Problem Solving Model: Problem Solving Methodology Applied to Unit Conversion You have 50 dollars in quarters; how many quarters do you have?
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  • Fall '14
  • Harris
  • Dimensional Analysis, Orders of magnitude, Conversion of units, Inch, dimensional analysis problems

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