Objectives: To examine the definition of a function especially the single output part.
Preliminaries/Lead-In: Recall the definition on the board. P.S.: I'm going to point out that we haven't really dealt with the "exactly one output" part of the definition yet - that will be important today.
Suggested Procedures: I will let the students struggle with this by themselves for a while - going around and talking to some of the small groups trying to push them in the right direction. (also - directing them to read in Section 1.1 - there is a discussion on when relationships are not functions, if they are having trouble) Then I will ask someone to show (by coming up to the document camera) their counterexamples - I think I will pick out the students to call on as I'm walking around. I may do this after the first two and then again at the end.
Wrap-Up/Take-Away: Talk about the single output for a given input. I might also talk about the importance of finding counterexamples in understanding a definition.
Possible Homework: I will ask them to hand in this activity the next day to be graded. (Paula) With the longer class period that I have, I'm hoping my students will complete 1.1B in class today. I too will collect for grade but at the end of class today - I'm going to tell them that I will be grading their explanations carefully - start them off with high expectations with regard to explaining their reasons.
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