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\centerline{Mathematics 133 -- Intensive Calculus for Science}
\centerline{Discussion 5 --``Derivative Derby''}
\centerline{October 18, 2000}
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\noindent
{\it Directions}
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\item{$\bullet$} First 15 minutes: Each group makes up {\it three\/} 
functions defined by formulas.  Any formula that can be differentiated
{\it by the rules we have discussed in class so far -- that is: the power,
exponential, sum, product, and quotient rules\/} is OK.  Include
at least one example where each rule is needed.
\item{$\bullet$} Prepare an {\it answer key\/}, giving the derivatives 
for your functions.  
\item{$\bullet$} Make identical copies of your list of functions for 
each member of your partner group, and one answer key.
\item{$\bullet$} Second 20 minutes: Each pair of partner groups exchanges 
functions.  Find the derivatives of the functions you are given, working
as a group.  Prepare one set of solutions.
\item{$\bullet$}  Final 15 minutes:  (The moment of truth!) Partner groups
combine and compare both sets of solutions with the answer keys to 
compute scores according to the rules below.
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\noindent
{\it Scoring Rules}
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\item{1)}  Each correct derivative from your partner group 
you compute is worth 5 points.  
\item{2)} If your group ``stumped'' your partner group, {\it and\/} 
you computed your derivative correctly in the answer key, 
your group gets 3 bonus points.  
\item{3)} For each incorrect solution in your
group's answer key, though, you {\it lose\/} 5 points.  
\item{4)}  Answers should still be counted as correct if they are 
equivalent to the answer key but in a different form (for example: factored
or not, simplified, or not).  
\item{5)}  Best total group score ``wins'' the Derby.  (But of 
course, everyone wins in the end!)   
\item{6)} The referee for any disputed call about whether a function
is legal or whether an answer is correct is Pr. Little.  It's OK
to ask the referee about things before you give your
problems to your partner group if you are in doubt.
\bye
