Graphing Approximations of Irrational Numbers: This scavenger hunt has 12 problems and 12 cards that have the students graph approximations of irrational numbers on each of the following number lines: a) whole numbers b) tenths and c) hundredths. The answers are found on one of the other cards along with one of the largest 12 cities in the United States.
The irrational numbers include square roots, cube roots, pi and multiples of each.
Designed for the following 8th grade Common Core Math Standard:
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.