Algebra II Task: Franchise

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?