Task# Approximating pi

Illustrative MathematicsVaries

The goal of this task is to explore some important aspects of approximating an irrational number with rational numbers. The irrational number chosen here is pi because it is one of the most interesting, well known, and grade appropriate irrational numbers. The fact that finite decimal representations are approximations by fractions, whose denominators are powers of 10, is emphasized by parts ii, iv and vi of the second part of the task.