This preview shows page 1. Sign up to view the full content.
Unformatted text preview: “Functions First.” To truly use The Rule of Four,
that is, in order to discuss each new concept algebraically, graphically, numerically and verbally, it
seems completely obvious to us that one would need to introduce functions ﬁrst. (Take a moment
and compare our ordering to the classic “equations ﬁrst, then the Cartesian Plane and THEN
functions” approach seen in most of the major players.) We then introduce a class of functions
and discuss the equations, inequalities (with a heavy emphasis on sign diagrams) and applications
which involve functions in that class. The material is presented at a level that deﬁnitely prepares a
student for Calculus while giving them relevant Mathematics which can be used in other classes as
well. Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not
to replace it. The answers to nearly all of the computational homework exercises are given in the xi
text and we have gone to great lengths to write some very thought provoking discussion questions
whose answers are not given....
View Full Document