Why can't I divide by zero? We tell students they can't do it, but do they really understand why? Objective: Students will use various methods to demonstrate why division by zero can't be done. 
Reformatted: January 2010 

Method 1: Word problems with diagrams What does division mean it terms of every day experiences? Write simple word problems to demonstrate what division means. Build from easy to understand examples. Be sure to show examples in both orders so students understand the meaning of the order. Have the students try to draw a diagram for each.

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Method 2: The limit using a simple pattern Vocabulary: Limit is a term used in calculus meaning to approach  get real close to  with out going the whole way to that value. What does a pattern imply if we approach division by zero? Use a simple pattern where the numbers do not confuse the students. Let them determine the answers and then try to interpret where that pattern will take them as they approach division by zero.
Method 3: The limit using a graph
Method 4: Inverse Operations Division is the inverse of multiplication. If we can multiply, then we can divide by reversing the numbers. What does this relationship imply for us? Show easy relationships to set up the pattern first:
Examples:


