Week+of+12.8.11-12.15.11

Documents from class:   ("Tickle-Me Elmo" and "The Fundraiser" are included in this document)

Part I- What Can the Area "under" a Curve Tell Us? //and//  How Can We Use the Graphing Calculator to Find Areas?

In class, we talked about the //meaning// of the area under a rate graph, as well as how we can use the graphing calculator to find that area on a given interval.  Complete the following problems that summarize these ideas (you will need your graphing calculator): 


 * Part II- Investigating the Integral as a //Function// **

Hopefully, you feel comfortable //approximating// the area under a curve using a rectangular sum and //finding// the (almost) exact area under a curve using technology. If our function is linear or piecewise-linear, or creates any sort of known geometric shape (like triangles or semi-circles), we should also be able to //find// the area //exactly// using known area formulas.

Complete the following problems, in which you will find //accumulated// areas under curves on given intervals and then create a graph:  - //Optional//