Distinguish Between Rational & Irrational Numbers

(A) Extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers

(Y8) Investigate the concept of irrational numbers, including π (ACMNA186)

(Y10A) Define rational and irrational numbers and perform operations with surds and fractional indices (ACMNA264)

8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.