Graphical analysis
http://illuminations.nctm.org/LessonDetail.aspx?ID=L478
A lesson plan for grades 9–12 Mathematics
This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. In this lesson, students are challenged to describe the characteristics of the graph, and explain what information the characteristics given about the trout population. Students also investigate changes that occur to the population if the Initial Population, the Growth Factor, or the Restock Amount should change. Students compare graphs and learn how to us a “cobweb graph”. This lesson concludes with a discussion about student discoveries.



