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# Problem 5

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### Problem 5

1. 1. Rob Schupbach Problem #5CRIN E07: Elementary Math Curriculum and InstructionDr. Margie Mason/Ms. Rachael CoferOctober 3, 2011Topic: Patterns, Functions, and Algebra: Equations and Properties—Grade 5 (SOL5.17)Expected Heuristics: Make an organized list; Make a table; Use a number lineFrigid ForecastAndy checked his Fahrenheit thermometer at 10:00 each morning during his wintervacation. He was disappointed because he could not go outside very often, as theweather was extremely cold.He wrote his notes for each day on scrap paper. The notes are not in order of thedays of the week.  Tuesday was the warmest day of the week, but still was only 10 degrees below freezing. That was 15°F warmer than the day before.  On Wednesday the temperature was 5°F colder than on Monday.  Thursday was 1°F colder than Friday.  Fridays temperature was 6°F below Wednesdays.  It was 5°F warmer on Saturday than on Friday. What was the temperature in degrees Fahrenheit each day?Hint: Freezing is 32° Fahrenheit.Answer: Monday: +7°F, Tuesday: +22°F, Wednesday: +2°F, Thursday: -5°F,Friday: -4°F, Saturday: +1°F
2. 2. Rob Schupbach Problem #5 CRIN E07: Elementary Math Curriculum and Instruction Dr. Margie Mason/Ms. Rachael Cofer October 3, 2011Complete Solutions:  Tuesday was the warmest day of the week, but still was only 10 degrees below freezing. Freezing is 32° Fahrenheit. 32°F − 10°F = 22° F Tuesdays temperature was 22° F. That was 15°F warmer than the day before. Tuesday was 15°F warmer than Monday. Mondays temperature + 15°F = Tuesdays temperature. Subtract 15°F from Tuesdays temperature to find the warmer temperature for Monday: 22°F − 15°F = +7°F Mondays temperature was +7°F.  On Wednesday the temperature was 5°F colder than on Monday. Start with Mondays temperature and subtract: +7°F − 5°F =+2°F Wednesday was +2°F.  Thursday was even 1°F colder than Friday. Skip this clue now and find out Fridays temperature.  Fridays temperature was 6°F below Wednesdays. Wednesdays temperature was +2°F. Subtract: +2°F − 6°F = -4°F  Now go back to find Thursdays temperature: Fridays temperature was −4°F. Thursday was 1°F colder than Friday. So, subtract: - 4°F − 1°F = -5°F Thursdays temperature was -5°F.  It was 5°F warmer on Saturday than on Friday. Add: Fridays temperature plus the increase: −4°F + 5°F: - 4°F + 5°F = +1°F Saturdays temperature was +1°F. Houghton Mifflin Math. (2011). Retrieved October 3, 2011, from http://www.eduplace.com/kids/mw/g_5.html
3. 3. Rob Schupbach Problem #5CRIN E07: Elementary Math Curriculum and InstructionDr. Margie Mason/Ms. Rachael CoferOctober 3, 2011 Frigid ForecastAndy checked his Fahrenheit thermometer at 10:00 each morning during his wintervacation. He was disappointed because he could not go outside very often, as theweather was extremely cold.He wrote his notes for each day on scrap paper. The notes are not in order of thedays of the week.  Tuesday was the warmest day of the week, but still was only 10 degrees below freezing. That was 15°F warmer than the day before.  On Wednesday the temperature was 5°F colder than on Monday.  Thursday was 1°F colder than Friday.  Fridays temperature was 6°F below Wednesdays.  It was 5°F warmer on Saturday than on Friday. What was the temperature in degrees Fahrenheit each day?Hint: Freezing is 32° Fahrenheit.