Like most people, for my New Year resolution, I resolved to save more money!!! To accomplish this, I plan to save all my dimes in a Mason jar “bank.” My goal is to fill the mason jar completely!
Your task is help me determine how much money I will have saved if I fill the mason jar completely?
In the images below, you will see exactly one dollar in dimes in the jar.
According to the Standards for Mathematical Practices, students who, Make Sense of problems and persevere in solving them, “start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt.”
If I know that there is a dollar in the images above, what is the value of the dimes in the image below?
Questions to pose to students as they attempt to solve the problem:
What information do you need to solve this problem?
How are you going to use that information to help you solve?
How might knowing the first picture represents one dollar in dimes help you in solving the problem?
Is there more or less than 5 dollars in the jar right now? How do you know?
Is your answer reasonable?
According to the SMP’s, “Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, ‘Does this make sense?'”
Now that you have some ideas about how to determine the value in the jar, I need to know, how much money will be in the jar if the jar is filled completely?
For more information on the Standards for Mathematical practice, click on the link http://www.corestandards.org/Math/Practice/
Happy Problem Solving!!!