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Algebra II Task: Blogs and Frogs

Standards & Objectives

Essential and guiding questions:

What happens to the number of blog followers in the first problem as N gets bigger and bigger?
What happens to the distance the frog travels in the second problem as N gets bigger and bigger?
How are these problems alike? How are they different?
What is the key piece of information in the problem that determines whether your sum diverges (as in the blog problem) or converges (as in the frog problem)?

Activity/Task Variations

Blooms taxonomy level:

Understanding

Differentiation suggestions:

If students can’t get started….

What information does the problem ask you to put in your table?
How does making a table help you organize your information?
Do you see any patterns in your table?

Extension suggestions:

If students finish early….

Re-work the frog problem using different values for the common ratio. Is there a reasonable value of the common ratio that will allow your frog to reach the pond in a finite number of hops? Why or why not?
In the blog problem, are there “real-world” limitations to the number of followers Erin’s blog can have? If so, what are those limitations?

Originator:

Tennessee Department of Education