Attempt: 1

Represent fractions greater than 1 whole with models

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Source: https://www.geogebra.org/m/ZbtS3ufg

 

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Let’s first remember that whenever we talk about a fraction we need to do three things:

  1. Identify what the “whole” or “1” is.
  2. Describe or indicate the number of “equal” parts into which the whole has been divided. (DENOMINATOR)
  3. Describe or emphasize the number of those equal parts being considered. (NUMERATOR)

In this lesson we will apply those three things to creating fractions that are greater than one whole.

Problem 1: Draw \frac{4}{3} using the area model and the number line model.

The first thing we have to do is identify what will be the one whole. At this point, we will use a rectangle.

 

The second thing is to notice the denominator is 3, which means we have to break the one whole into 3 equal pieces.

The third thing is emphasize the number of pieces in the numerator - in this case, 4. But wait!!! How can we emphasize 4 pieces when there are only three pieces in a whole? We need to another rectangle cut into thirds. Now we can emphasize the four parts.

 


                
 

                
 		
        

    



 


What would it look like if we use a number line?



    
        

            
                
The first thing we have to do is identify a line segment as the one whole.

            		
            
                
 

                
 		
        

        

            
                
The second thing is to notice the denominator is 3, which means we have to break the one whole into 3 equal pieces.

            		
            
                
 

                

            		
        

        

            
                
The third thing is emphasize the number of pieces in the numerator - in this case, 4. But wait!!! How can we emphasize 4 pieces when there are only three pieces in a whole? We need to extend the number line and cut into thirds. Now we
                    can emphasize the four parts.

            		
            

                

            		
        

    



 



    

        
  

        
 

        
Click [Next] to do the 4 practice problems.