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Context 17 - Big Fish Story

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Last updated about 2 years ago
19 questions
Note from the author:
MMR Resources
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Question 1
1.

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 4
4.

What are some reasons that the fish population would decrease in this pond? Share your ideas below.

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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 10
10.

Use a spreadsheet to examine the change in the fish population
Here's a sample spreadsheet

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Question 17
17.

What is a recursive formula and how does it work?

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Question 3
3.

Determine how many fish are in the pond initially.

Question 5
5.

What are some naturally occurring reasons that the fish population would increase in this pond? Share your ideas below.

Question 6
6.

What is the overall rate of change for the fish population of this pond?

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 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.

Question 11
11.

Make a visual representation using technology. Screenshot the result and paste it below.

Question 12
12.

How many years does it take for your population to reach “equilibrium”?

Question 13
13.

What is the value of the population at “equilibrium”?

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.
Question 16
16.

Make a visual representation using technology.
Copy the results and paste them below.

Question 18
18.

Why is a linear model not appropriate for this model?

Question 19
19.

What is equilibrium?