Exponential models come with a shortcut. Pupils watch an example of how to determine if a differential equation is an exponential model. Learners realize the solution is in the same formula, allowing for a quick way to determine the solution. Scholars use their calculators to find the specific solutions to real-world problems as they practice their skills.

Concepts

exponential decay, exponential models, exponential growth, growth and decay, proportional reasoning, differential equations

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Instructional Ideas

• Research exponential models and find real-world examples that may be represented by differential equations

Classroom Considerations

• Assumes the class is familiar with exponential growth and decay functions
• Fits as the eighth segment in a 10-part unit

• This video is hosted on YouTube

Pros

• Provides a structure for taking notes during the video
• Contains two extra worksheets for those needing additional practice

Cons

• None