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K–12 teaching and learning · from the UNC School of Education

Trout pond population

http://illuminations.nctm.org/LessonDetail.aspx?ID=L476

A lesson plan for grades 9–12 Mathematics

Provider: National Council of Teachers of Mathematics


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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. Illuminations provides an activity sheet and detailed instructions for completing the lesson.

Students will:

  • Use iteration, recursion and algebra to model and analyze a changing fish population.
  • Use graphs, equations, tables, and technology to investigate the effect of varying parameters on the long-term population.

NCTM Standards and Expectations:

  • Analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior.
  • Use symbolic algebra to represent and explain mathematical relationships.
  • Use a variety of symbolic representations, including recursive and parametric equations, for functions and relations.
  • Draw reasonable conclusions about a situation being modeled.

North Carolina Curriculum Alignment