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REAL LIFE APPLICATIONS - 
Independent Problem Solving

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Name ______________________________________   

Date ______________________________

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Where Did My Marbles Go? - Adopted from HIGHLINE SCHOOL DISTRICT MATH OLYMPIAD - March 22, 1997 (http://www.blarg.net/~math/hmo97y1p1f.html)

So many games come with marbles and other tiny pieces.  My brother and I lose them all the time.  My mom is constantly asking us to put everything back.  We aren't very good about it, though.  One day, we just took all the lose marbles and put them in a bag.

Now, I have a bag of marbles. I gave a third of them to Tina. Then I gave half of what I had left to Tom. I now have 8 marbles left. How many marbles did I start with?

Things to consider before solving the problem:

bulletWhat are the most important facts in this problem?
bulletAre there any patterns?  Can this help you with solving the problem?
bulletWhat strategy will work best for solving this problem?  Why are you choosing this strategy?
bulletBe sure to explain your reasoning using sentences, equations, pictures, or tables.
bulletIs your answer reasonable?  Does it make sense?

Be sure to use your answers to these question when you solve the problem. 

Time to solve the problem:

bulletImportant Facts:

 

 

 

bulletProblem Solving Workspace:

 

 

 

 

 

 

 

bulletMy answer to this problem is ___________________ because:

 

 

 

 

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© Searching for Solutions - A Web-Based Problem-Solving Unit
Developed by Judy Campf, e-Learning Specialist.