According to Marzano (2003) one of the major instructional categories that affect student achievement is identifying similarities and differences.  We therefore should assign in class and as homework tasks that involve comparison and classification.

One of the greatest graphic organizers to help students analyze and sort is the Venn Diagram.  Once a label is given each circle then a great deal of analysis is done to compare and contrast. 

To use this formation from the inside out with the labels missing is also an effective strategy that has not been used as often.  Try this one: from the language arts literature curriculum.


lived in an attic       Jewish             lived in fields
                         story published       and ghettos

perished               young girl          survived       

kept a diary        suffered anti      
                          semmatism


If you are familiar with the Novels Alicia and Anne Frank then the labels are relatively easy.


An amazing cross over into mathematics is how the Venn Diagram can be used for sorting factors of numbers  Consider the numbers 21 and 30.   
  21                                       30
            7        3        5    2
Look in the center and you will see the greatest common factor.    Multiply all the factors for the least common multiple.

Using the Venn sorts the factors and makes the terminology come to life. Prime  Factors of a number are the building blocks of that number.  Factors that are in common are called the greates common factors and the Least common multiples are found by multiplication of all factors.


Venn and Time Lines ....Connecting  Literature and Math

5)35
7) 7
35
30
2)30

3)15

5)5
2 x  3   x  5   x     7.











The GCF  is 5 in the middle

The LCM  is 2 x 3 x 5 x7 = 210