1. Buck UP Population Dynamics and Slope Levi Patrick | K20 Center at OU | 405.325.2720 | lpatrick@ou.edulpatrick@ou.edu

2. Biology + Algebra @ US Grant

3. Suppose You’re A Deer... ✤ Each ______ represents a _________. ✤ Each __________ represents a ________. ✤ To feed yourself, grab bean and place it in your dear. ✤ > 1 bean will cause your deer’s stomach to __________... it’s science. ✤ If the Number of Beans in Your Cup After 1 Minute = b, then the following is true: ✤ b < 20 ; ✤ b = 20 ; ✤ 20 ≤ b < 40 ; ✤ 40 ≤ b < 60 ; 1 deer you die... you live! you live and propagate! cup year minute explode

4. By the Way... You’ll Need a Table YearPopulationBirthsDeathsEnd PopulationChange 1 2 3 4 5 6 7 8 9 10

5. And Now You Need a Graph... ✤ Cue clever graph thing to fall in... ✤ Show real graph and give time for individuals to create and plot.

6. ✤ Before you get all your numbers written in pen, write a large 0 (zero) in the bottom left corner of your graph. Let’s Graph It On! 0 1 2 3 4 5 6 7 8 9 10 100 90 80 70 60 50 40 30 20 10 Deer Years Buck Up [Deer vs. Year] Classic Misconception

7. 0 1 2 3 4 5 6 7 8 9 10 100 90 80 70 60 50 40 30 20 10 Deer Years Buck Up [Deer vs. Year] A B C D slope = run rise Remember... ✤ What were the average growth rate for segments AB, BC, and CB? Growth Rates

9. Back to Biology ✤ Limiting Factors ✤ Carrying Capacity ✤ Population Graphs Overshoot & RecoverOvershoot & Collapse S-Shape CurveJ-Shape Curve

10. ✤ What were the average growth rate for segments AB, BC, and CB? Growth Rates 0 1 2 3 4 5 6 7 8 9 10 100 90 80 70 60 50 40 30 20 10 Deer Years Buck Up [Deer vs. Year] A B C D C a r r y i n g C a p a c i t y ≈ 8 5 d e e r O v e r s h o o t & C o l l a p s e

11. Buck UP Population Dynamics and Slope Levi Patrick | K20 Center at OU | 405.325.2720 | lpatrick@ou.edulpatrick@ou.edu Questions | Comments | Concerns