What other questions can you ask about your teacher’s grandpa’s pond? Brainstorm with your group and list your group’s questions below.
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Question 2
2.
As a class, we have defined equilibrium as...
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Question 3
3.
Determine how many fish are in the pond initially.
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Question 4
4.
What are some reasons that the fish population would decrease in this pond? Share your ideas below.
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Question 5
5.
What are some naturally occurring reasons that the fish population would increase in this pond? Share your ideas below.
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Question 6
6.
What is the overall rate of change for the fish population of this pond?
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Question 8
8.
Grandpa wanted to stock this pond, but only has a budget of $150. The prices from Dunn’s Fish Farm in Oklahoma are below. Determine how many fish you would recommend that Grandpa should buy.
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Question 9
9.
Write a NEXT-NOW statement to include the overall rate of change and the restocking number that you determined for the fish population in this pond.
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Question 10
10.
Use a spreadsheet to examine the change in the fish population
Here's a sample spreadsheet
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Question 11
11.
Make a visual representation using technology. Screenshot the result and paste it below.
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Question 12
12.
How many years does it take for your population to reach “equilibrium”?
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Question 13
13.
What is the value of the population at “equilibrium”?
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Question 17
17.
What is a recursive formula and how does it work?
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Question 18
18.
Why is a linear model not appropriate for this model?
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Question 19
19.
What is equilibrium?
Question 7
7.
Write a NEXT-NOW formula (also known as a recursive formula) to describe what is happening with the fish population in the pond over time. [An example of a NEXT-NOW formula is that if something is growing by 10% each year, the formula would be: NEXT = 1.1(NOW)]
Question 14
14.
What if your grandpa’s budget were raised to $300? How would that change the number of fish to be restocked annually?
Question 15
15.
What would your new NEXT-NOW formula be, and how would you change your spreadsheet?
Record your revision below and update your spreadsheet.
