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Buck UPPopulation Dynamics and Slope
Levi Patrick | K20 Center at OU | 405.325.2720 | [email protected]
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 | [email protected]
Questions | Comments | Concerns