9.0 The Mathematics of Crop Circles

Area and Optimization

Students investigate the area of geometric regions in order to find optimal values. 

9.2 Teacher Worksheet with Notes (pdf)

Module 9 zipped file includes the following files:

9.1 Student Worksheet
9.2 Teacher Worksheet
9.3 Excel
9.4 TI Nspire™




This material is based upon work supported by the National Science Foundation
under Grant No. DUE 0632883
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.