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Gen Problem Solving & Units

Gen Problem Solving & Units - Joy by Apollo...

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“Joy” by Apollo 100 (1972) An up-tempo version of Johann Sebastian Bach’s marvelous “Jesu, Joy of Man’s Desiring”, the 10 th movement of Bach’s cantata, “Herz und Mund und Tat und Leben”
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General Problem Solving, Significant Digits, and Units Auguste Rodin, 1902
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How to Solve Problems General Problem Solving Tactics Problem Solving is what you do, when you don’t know what to do. If you know what to do when you read a question, it isn’t a problem, it’s an exercise. So, what do you do when you have a real problem?
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A four-step plan 1.) Understand the problem. 2.) Devise a plan. 3.) Carry out the plan. 4.) Check the answer. In this course, more than 90% of the questions on quizzes and exams will be exercises and not true problems. But if you don’t study, then every question will be a “thinker problem”.
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1.) Understand the problem. Read the problem. Re-read the problem. If it’s a real problem you didn’t understand it the first time. Divide the given data or available information into three parts: 1.) Known(s): given facts (that may or may not be relevant) 2.) Unknown 3.) Conditions : temperature, pressure, date (ambient conditions that may or may not be needed for the solution) Example: What is the volume of 23 grams of lead, Pb? The mass of lead was measured at 25°C in Muncie, Indiana in 1992. Known: 23 g of Pb, Unknown: Volume of that lead, Conditions: 25°C, 1992, Muncie, IN
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Key words for Known and Unknown
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2. Devise a plan. “If you don’t know where you are going, any road will take you there.” - Alice in Wonderland by Lewis Carroll (Charles Lutwidge Dodgson) “If you don’t know where you are going, you will wind up somewhere else.” - Yogi Berra Example: What is the volume of 23 grams of lead, Pb? The mass of lead was measured at 25°C in Muncie, Indiana in 1992. Known: 23 g of Pb, Unknown: Volume of that lead, Conditions: 25°C, 1992, Muncie, IN Find an equation (or conversion factor) that relates the known to the unknown. Here: Density = mass/volume (Algebraically solve this equation for Volume.) Look up Density of Pb (11.34 g/mL at 25°C)
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3.) Carry out the plan Example: What is the volume of 23 grams of lead, Pb?
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