The document summarizes a word problem involving 6 students - Anna, Marty, Gina, Dwayne, Emily, and Randy - who researched average rainfall amounts in their cities. Based on clues about rainfall differences and amounts, the summary identifies which city each student lives in. Anna lives in Seattle, Marty lives in Portland, Maine, Gina lives in San Francisco, Dwayne lives in Dallas, Emily lives in Chicago, and Randy lives in Miami.
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