Buck UP

1. Buck UP • Population Dynamics and Slope Levi Patrick | K20 Center at OU | 405.325.2720 | lpatrick@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 ; cup deer minute year 1 explode you die... you live! you live! you live and propagate!

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

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

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

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

9. Overshoot & Recover Overshoot & Collapse S-Shape Curve J-Shape Curve Back to Biology • Limiting Factors • Carrying Capacity • Population Graphs

10. Growth Rates Buck Up [Deer vs. Year] C B 100 90 80 70 60 50 40 30 20 10 Deer A D 0 1 2 3 4 5 6 7 8 9 10 Years • What were the average growth rate for segments AB, BC, and CB? Carrying Capacity ≈ 85 deer Overshoot & Collapse

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