Exploring Exponential Function through Wildfire

Poll

How familiar are you with Exponential Functions?

• Clueless

• Some

• I am comfortable

• I can teach it

Multiple Choice

What does the "a" represent in the following formula:

$$y=a\left(1+r\right)^t$$

• The initial value

• The growth rate

• The decay rate

• The time

Multiple Choice

What does the "r" represent in the following formula:

$$y=a\left(1+r\right)^t$$

• The initial value

• The growth rate

• The decay rate

• The time

Multiple Choice

What does the "t" represent in the following formula:

$$y=a\left(1+r\right)^t$$

• The initial value

• The growth rate

• The decay rate

• The time

What is something new that you learned from watching this video

How does this career involve mathematics?

What factors in real life might LIMIT the fire from growing exponentially forever?

​What factors in real life might EXCEL the process of the fire?

Questioning:

Objective

Students will explore the concept of exponential growth by modeling how fire spreads exponentially. They will calculate the area burned over time using exponential functions and interpret their results.