Will irrational ever be rational?
In the activity Estimating and Locating Irrational Numbers, students find rational estimations for irrational numbers, and approximate their locations on a number line. This entire activity is completed without the aid of a calculator.
Early in the activity, students approximate irrational numbers as a number between two consecutive integers. They are provided with many interactive objects to help them with this task. Later in the activity, they learn how to get a very close approximation as a decimal to the nearest tenth or hundredth. This is a skill in which students can now act as a human calculator. Who knows…they may even use it to impress their friends!