Symbolic analysis
http://illuminations.nctm.org/LessonDetail.aspx?ID=L479
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 will:
- Use iteration, recursion and algebra to model and analyze a changing fish population.
- Use equations to investigate the effect of varying parameters on the long-term population.
NCTM Standards and Assessments covered by this lesson:
- Students will use symbolic algebra to represent and explain mathematical relationships.
- Students will write equivalent forms of equations, inequalities, and systems of equations and solve them with fluency—mentally or with paper and pencil in simple cases and using technology in all cases.



