Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond Part One - Make a Conjecture

	Make a Conjecture	Numerical Analysis	Graphical Analysis	Symbolic Analysis

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. Possible population growth patterns Trout Pond QT Video to go here.

Think About This Situation A fishing pond is stocked with trout. In order to mathematically model this situation, the following simplifying assumptions are made: (1) There are currently 3000 trout in the pond; (2) Regardless of restocking, the population decreases by 20% each year due to the combined effect of all causes, including natural deaths and trout being caught; (3) 1000 trout are added at the end of each year. Do you think the population will grow without bound, level off, oscillate, or die out? Explain why you think your conjecture about long-term population is reasonable. Then continue with this investigation to test your conjecture.

Make a Conjecture Numerical Analysis Graphical Analysis Symbolic Analysis References and Credits

© 2000 - National Council of Teachers of Mathematics CD Version last updated: August 8, 2000