Alyve
  • About(current)
  • OER Subjects
    • Art
    • English
    • Humanities
    • Mathematics
    • Science
    • Technology
    • Theatre Arts
Adirondacks National Park

Wildlife Population Growth

Modeling Exponential Growth and Decay

 

Wildlife is a mathematics Project Based Learning unit that focuses on using exponential growth and decay models to solve real-life problems. Students build a mathematical model of projected changes in moose population in the Adirondack National Forest, beginning with the selection of factors that must be reflected in the model, including migration rates, sex ratios, reproductive rates, and rates of importation. As the unit continues, students learn about exponential functions, graphs of exponential equations, the rules of exponents. Students test their moose models to learn how sensitive they are to change.

Driving Question: How can we create a mathematical model of wildlife populations in order to advise environmental policy: Put yourself in the position of commissioner of the Environmental Conservation Department, and make a recommendation to the governor about this situation.

Click on a link to jump ahead to the following sections:

  • Lessons
  • Other Resources

 

 

Lessons

                Moose
  • Lesson 1: First Steps
    • Prep Reading: Managing Moose by Modeling Growth
    • Activity 1: No Problem
    • Individual Work 1: Beginning a Model
  • Lesson 2: First Moose Model
    • Prep Reading: Can Migration Be Explained?
    • Activity 2: My Great Model
    • Individual Work 2: Those Moose Were Made For Walking
  • Lesson 3: Multplicative Growth
    • Prep Reading: Where Do We Go From Here?
    • Activity 3: Beyond The Linear
    • Individual Work 3: One Pattern; Many Ways To Describe It
  • Lesson 4: Second Moose Model
    • Activity 4: Curved Lines
    • Individual Work 4: Growing Up... Or Down?
  • Lesson 5: Final Moose Model. Students solve the unit problem.

  • Culminating Project: After students solve the unit problem, they will work in groups to create a web-based business plan for a small business of their choosing. Teams will publish on the internet a create a recommendation to the governor about their plan. View Project details.

  • Supplemental Problems:
    • Growing Up
    • Mount Trashmore
    • Moose By The Numbers
    • The Rise of Troy

 

Resources - Exponential Growth and Decay

                Seal Population

The following are links to resources for Exponential Functions, the topic being developed in the Wildlife PBL:

  • Zombie Apocalypse - Investigation on exponential growth and decay

  • Dating Wooly Mammoths - Investigation on carbon dating

  • Exponential Growth and Decay - Entire unit on Khan Academy

  • Exponential Growth lesson at Purplemath

  • Video lesson on TeacherTube

  • Exponential Functions at SOS Math

 

 


Questions, Comments and Concerns

Please free to contact Alyve with any corrections or suggestions.

Also, please contact Alyve if you feel that any of the content is derived from copyrighted material.

 

Contact Alyve

 

Alyve