Buck UPPopulation Dynamics and Slope

Levi Patrick | K20 Center at OU | 405.325.2720 | lpatrick@ou.edu

Biology + Algebra @ US Grant

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!

you live and propagate!

cup

yearminute

explode

By the Way... You’ll Need a Table

Year Population Births Deaths End Population Change

1

2

3

4

5

6

7

8

9

10

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.

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

100908070605040302010

Deer

Years

Buck Up [Deer vs. Year]Classic

Misconception

0 1 2 3 4 5 6 7 8 9 10

100908070605040302010

Deer

Years

Buck Up [Deer vs. Year]

A

B

C

D

slope = runrise

Remember...

What were the average growth rate for segments AB, BC, and CB?

Growth Rates

Back to Biology

Limiting Factors

Carrying Capacity

Population Graphs

Overshoot & Recover Overshoot & Collapse

S-Shape Curve J-Shape Curve

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

100908070605040302010

Deer

Years

Buck Up [Deer vs. Year]

A

B

C

D

Carrying Capacity ≈ 85 deer

Overshoot & Collapse

Buck UPPopulation Dynamics and Slope

Levi Patrick | K20 Center at OU | 405.325.2720 | lpatrick@ou.edu

Questions | Comments | Concerns