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Algebra II Task: Franchise

Standards & Objectives

Essential and guiding questions:

How can a graphing calculator help us with this problem?
What if the function had started out with t measured in months, but the questions were asking about years?
What if the number in parentheses in the function was smaller than 1 ? What would this represent?
Do you think this is a plausible scenario? In other words, is the function reasonable for this situation?

Activity/Task Variations

Blooms taxonomy level:

Understanding

Differentiation suggestions:

If students can’t get started….
Assessing

What does the 78,500 represent in this problem?
What does it represent in the function?

Advancing

What is happening in this function? Could we use the calculator to help us visualize what is going on with this function?

Extension suggestions:

If students finish early….
Assessing

What does the 1.0247 represent in the function?

Advancing

What if after 6 months the growth rate became 1.5%? How would your answer change to part b?

Originator:

Tennessee Department of Education