This task can be used to either build or assess initial understandings related to rational approximations of irrational numbers.

This task requires students to determine whether a number is rational or irrational. The task assumes that students are able to express a given repeating decimal as a fraction.

When students plot irrational numbers on the number line, it helps reinforce the idea that they fit into a number system that includes the more familiar integer and rational numbers.

This lesson unit is intended to help teachers assess how well students are able to distinguish between rational and irrational numbers. In particular, it aims to help teacher identify and assist students who have difficulties in: classifying numbers as rational or irrational; and moving between different representations of rational and irrational numbers.

This lesson unit is intended to help teachers assess how well students reason about the properties of rational and irrational numbers. In particular, this unit aims to help teachers identify and assist students who have difficulties in: finding irrational and rational numbers to exemplify general statements; and reasoning with properties of rational and irrational numbers.

Students will participate in an activity that will help them obtain a feeling of how numbers are related to each other. They will determine whether a number is rational or irrational. Students will also be able to order rational and irrational numbers on a number line.