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Rob Schupbach                                                            Problem #7
CRIN E07: Elementary Math Curriculum and Instruction
Dr. Margie Mason/Ms. Rachael Cofer
October 21, 2011



Topic: 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 & Check

Let it Rain!




Anna, Marty, Gina, Dwayne, Emily, and Randy each researched the average
rainfall for January and July for the city where they live.

      Anna's city has more rainfall in January than July.
      Dwayne's city receives three tenths of an inch more rain in January than
       Emily's city does.
      Randy's city gets 3.69 inches more rain in July than in January.
      The January rainfall in Marty's city is 2 inches more than the rainfall in
       Emily's city.
      There is less than 0.5 inch of rain in July where Gina lives.

                Where does each of the record-keepers live?
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 Emily's 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

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Problem 7

  • 1. Rob Schupbach Problem #7 CRIN E07: Elementary Math Curriculum and Instruction Dr. Margie Mason/Ms. Rachael Cofer October 21, 2011 Topic: 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 & Check Let it Rain! Anna, Marty, Gina, Dwayne, Emily, and Randy each researched the average rainfall for January and July for the city where they live.  Anna's city has more rainfall in January than July.  Dwayne's city receives three tenths of an inch more rain in January than Emily's city does.  Randy's city gets 3.69 inches more rain in July than in January.  The January rainfall in Marty's city is 2 inches more than the rainfall in Emily's 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 Emily's 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