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Understanding Exponential Growth Through Freshwater Fish Population Dynamics

This lesson explores exponential population growth using freshwater fish, focusing on two key species: the Mekong Giant Catfish, the largest freshwater fish ever recorded at 9 feet and 646 pounds, and the Sturgeon native to the Pacific Northwest, which can reach lengths of 19 feet and weights over 1,000 pounds. Through real-life scenarios, such as the exponential increase of carp in a pond from 600 to 672 over five months, students will learn to write function rules to describe these changes. Engaging activities include graphing population growth and addressing conservation concerns for these majestic species.

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Understanding Exponential Growth Through Freshwater Fish Population Dynamics

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  1. Lesson 40: Exponential Population Growth Mini-Theme: Fish

  2. What is the largest freshwater fish to ever be captivated? • The Mekong Giant Catfish • 9 feet long, 646 pounds • Found in the Mekong River in Cambodia

  3. Review Example

  4. Population Growth Example • A pond is stocked with 600 carp. Five months later, there are 672 carp in the pond. The population is growing exponentially. Write the function rule for this scenario. • First use 600 as C • Then use 672 to solve for the constant k.

  5. What is the largest freshwater fish in the United States? • Sturgeon (native to the Pacific Northwest) • Currently faces extinction • Can grow up to 19 feet long and weigh over 1000 pounds. • Some can live as long as 100 years

  6. CFU

  7. Using a graph to solve:

  8. Homework

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