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Mathematical Problem-Solving Understand the problem Devise a plan Carry out the plan Look Back
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The Mathematical F-Word
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Fractions! 1/2 + 1/4
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Understand the Problem Can you state the problem in your own words? Can you restate the problem using a diagram, table of values, or words?
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Identify what is known. Identify specifically what the problem is asking for.
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Devise a plan Have you previously solved a related, easier problem? Can you devise a related, easier problem and solve it?
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Look for a pattern Make more tables, drawings, etc. Guess (!) and check.
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Can you state the problem in your own words? One fourth plus one half One quarter plus one half
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Can you devise a related, easier problem and solve it? One shovel plus one pencil One bird plus one bird
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Add: two cows plus one cows. Add: two shovels plus one shovels. Add: two cows plus one shovels.
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Add: two snoitcarfs plus one snoitcarf. Add: two viertels plus one viertel. Add: two fourths plus one fourth.
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Two fourths plus one fourth versus 2/4 + 1/4
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Every half is equal to two fourths So, one fourth plus one half is the same as one fourth plus two fourths
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On a lovely fall afternoon, a car drives north on I-5. As soon as the driver gets on the freeway, she sets the cruise control at 55mph. After three hours on I-5 the driver is at mile marker 163. The Set-up The Question At which mile marker did the car get on the freeway?
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Understand the problem Devise a plan Carry out the plan Look Back Can you state the problem in your own words? Can you restate the problem using a diagram, table of values, or words? Identify specifically what the problem is asking for.
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