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Problem 7

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  • 1. Rob Schupbach Problem #7CRIN E07: Elementary Math Curriculum and InstructionDr. Margie Mason/Ms. Rachael CoferOctober 21, 2011Topic: Probability and Statistics: Outcomes and Measures of Center—Grade 5(SOL 5.14, 5.15)Expected Heuristics: Use a picture; Make a table/chart; Guess & CheckLet it Rain!Anna, Marty, Gina, Dwayne, Emily, and Randy each researched the averagerainfall for January and July for the city where they live.  Annas city has more rainfall in January than July.  Dwaynes city receives three tenths of an inch more rain in January than Emilys city does.  Randys city gets 3.69 inches more rain in July than in January.  The January rainfall in Martys city is 2 inches more than the rainfall in Emilys city.  There is less than 0.5 inch of rain in July where Gina lives. Where does each of the record-keepers live?
  • 2. Rob Schupbach Problem #7 CRIN E07: Elementary Math Curriculum and Instruction Dr. Margie Mason/Ms. Rachael Cofer October 21, 2011 Answer: Anna lives in Seattle, Washington. Marty lives in Portland, Maine. Gina lives in San Francisco, California. Dwayne lives in Dallas, Texas. Emily lives in Chicago, Illinois. Randy lives in Miami, Florida.Complete Solutions: Anna: She could live in Portland, Seattle, or San Francisco. Later information will narrow the choice to one of these three cities. Dwayne: His city receives 0.3 in. more rain in January than Emilys does. So Emily must live in Chicago, which receives 0.3 in. less rainfall in January than Dallas, at 1.83 in., does (1.83 − 0.3 = 1.53). Dwayne, therefore, must live in Dallas. Randy: Compare the July and January rainfall amounts. The difference in Miami is 3.69 in. Randy must live in Miami. Emily: She lives in Chicago. (See Dwayne.) Gina: Only San Francisco has less than 0.03 in. of rainfall in July. Marty: The January rainfall in Portland is 2 in. more than that in Chicago, which is 1.53 in. Marty must live in Portland. (1.53 + 2 = 3.53) Anna: It has been found that she does not live in Portland or San Francisco. So Anna must live in Seattle. Houghton Mifflin Math. (2011). Retrieved October 21, 2011, from http://www.eduplace.com/kids/mw/g_5.html