NCTM Standards: Represent and analyze mathematical situations and structures using algebraic symbols; Understand patterns, relations and functions

Activity 33: Fraction Cents

Added on 5/14/2008

Downloads:
TI-73 PDF file
ACTIVITY OVERVIEW

In this activity we will:

  • Examine and develop understanding of decimal values of fractions

 
To get the calculator set, press the key and set your window like the one on the right.  You can use the arrow keys to move to items you need to change and press  to select them.

no alt text supplied
First of all, you will become familiar with the  and  keys.  The key writes fractions in the form you are probably familiar.  The key is a two way key that converts a fraction to a decimal and a decimal to a fraction.
 
To type in 5/8, press the 5 and then press the key. Then enter the 8 and press . no alt text supplied
In order to convert the fraction  to a decimal, enter the fraction as described above,  press the key and press . no alt text supplied
You can retrieve previous work by pressing the up arrow key until you highlight the work you want and press .  
This activity will help you develop fraction/decimal sense.


For each fraction you want to find a denominator that will get you as close as possible to the target decimal.
 
For example, if you are given 5/_ = .35, you need to enter a denominator with a numerator of 5 that will be close to .35 when you convert it.  You can only use whole numbers for the denominator.
 
If you guess 7 then your entry on your calculator would look like the screen on the right. Not very close to .35. Why would someone enter 5/7?
____________________________________________

____________________________________________

no alt text supplied
Based on this guess, try a guess yourself to get closer to the .35 target.  
One the right are your problems.  You can do this with a partner and see who is closest each time.
no alt text supplied
Now that you have had a chance to practice, write a strategy you would use to estimate a fraction that would be as close as possible to a certain decimal. no alt text supplied
Extension

 Take the same numbers and now you are allowed to use numbers with decimals. This should let you get closer to some of the targets.

no alt text supplied

Explorations series

TI EXPLORATIONS™ Series books are curricular materials using TI Technology that are written by classroom educators for classroom educators.
Click here to find Middle Grades Math EXPLORATIONS Books.

Activities Exchange

The TI Activities Exchange is an online, collaborative forum where you can find FREE activities aligned to your state standards as well as your textbook. Click here to find Middle Grades Math activities.