Darryl Clement Grade 12 MathematicsThis is a featured page

Unit: Differentiable Equations & Slope Fields Grade: 12
Established Goals (Standards)

  • NETS.S, 1ac: The students will need to apply differentiable equations to produce graphs that depict this intricate relationship.
  • NETS.S, 2abd: Interpretation of the results both in written and graphical form will require an indepth discussion of the results.
  • NETS.S, 3bc Once they have obtained and explained their results, they should research this topic and find examples that support or contradict the mathematical model.
  • NETS.S, 2b Give students a choice as to method of presentation of their overall results.
  • NETS.S 4: The level of the project would require that all of these be met.
Enduring Understandings Essential Questions
  • Complex species interactions can be modeled and understood using Mathematics. This understanding can lead to a better prediction to future population trends.
  • How will the interaction between two species in the same environment affect each population.
Stage 2 – Assessment Evidence
GRASPS Task Six Facets of Understanding
Goal: To determine a mathematical model that will predict population trends under different conditions between two species, a predator and its prey.

Role: You are a biologist trying to understand the relationship between a wolf and a rabbit population.

Audience: Your fellow classmates, biologist, who will also be presenting their findings.

Situation: You will be working with your two research partners to find a viable model that will predict future population levels of both species under certain conditions. You will then search for actual reliable data to determine how well your model works.

Product Performance: The final presentation should include one or more use of technology besides generating the necessary slope fields and graphs. For example, video or applets could be used to visualize future population trends.

Extension: 		Explain: Students will begin by brainstoming and theorizing what might these interactions look like as data.

Apply: The concept of slope fields to the interpretation of a complex relationship

Interpret: Population trends between a predator species and a prey species.

Perspective: Students will see that rather small changes can have major affects on a population.

Self-Knowledge: That humans do have a major impact on wildlife populations.

Empathize: How can this information be used to inform the public of their effect on wildlife.
Lesson Notes:



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