Fasion Among Students
GOLD MEDAL PROBLEMS
page 1
To The Students:
Gold Medal problems present you with an opportunity to investigate complex, interesting problems over several days. The purpose is to focus on the process of solving complex problems. You will be evaluated on your ability to show, explain, and justify your work and thoughts. Save all your work, including what does not work in order to write about the processes you used to reach your answer. Completion of a Gold Medal Problem includes four parts: • Problem Statement: State the problem clearly in your own words so that anyone reading your paper will understand the problem you intend to solve. • Process and Solutions: Describe in detail your thinking and reasoning as you worked from start to finish. Explain your solution and how you know it is correct. Add diagrams when it helps your explanation. Include things that did not work and changes you made along the way. If you did not complete this problem, describe what you do know and where and why you are stuck. • Reflection: Reflect on your learning and your reaction to the problem. What mathematics did you learn from it? What did you learn about your math problem solving strategies? Is this problem similar to any other problems you have done before? If yes, how? • Attached work: Include all your work and notes. Your scratch work is important because it is a record of your thinking. Do not throw anything away.
© 2000 CPM Educational Program
v. 6.0
GOLD MEDAL PROBLEMS
page 2
GM-1.
GOING BANANAS! Cleopatra (“Cleo”) the Camel works for the owner of a small, remote banana plantation. This year’s harvest consists of three thousand bananas. Cleo can carry up to one thousand bananas at a time. The market place where the bananas are sold is one thousand miles away. Unfortunately, Cleo eats one banana each and every mile she walks. Your Task: Of the three thousand bananas harvested, what is the largest number of bananas Cleo can get to market? P.S. This
page 1
To The Students:
Gold Medal problems present you with an opportunity to investigate complex, interesting problems over several days. The purpose is to focus on the process of solving complex problems. You will be evaluated on your ability to show, explain, and justify your work and thoughts. Save all your work, including what does not work in order to write about the processes you used to reach your answer. Completion of a Gold Medal Problem includes four parts: • Problem Statement: State the problem clearly in your own words so that anyone reading your paper will understand the problem you intend to solve. • Process and Solutions: Describe in detail your thinking and reasoning as you worked from start to finish. Explain your solution and how you know it is correct. Add diagrams when it helps your explanation. Include things that did not work and changes you made along the way. If you did not complete this problem, describe what you do know and where and why you are stuck. • Reflection: Reflect on your learning and your reaction to the problem. What mathematics did you learn from it? What did you learn about your math problem solving strategies? Is this problem similar to any other problems you have done before? If yes, how? • Attached work: Include all your work and notes. Your scratch work is important because it is a record of your thinking. Do not throw anything away.
© 2000 CPM Educational Program
v. 6.0
GOLD MEDAL PROBLEMS
page 2
GM-1.
GOING BANANAS! Cleopatra (“Cleo”) the Camel works for the owner of a small, remote banana plantation. This year’s harvest consists of three thousand bananas. Cleo can carry up to one thousand bananas at a time. The market place where the bananas are sold is one thousand miles away. Unfortunately, Cleo eats one banana each and every mile she walks. Your Task: Of the three thousand bananas harvested, what is the largest number of bananas Cleo can get to market? P.S. This