Lesson Plan

Define rational and irrational numbers and classify given numbers correctly into one category or the other

Explain informally that every real number has a decimal expansion, and that a rational number's decimal expansion either terminates or eventually repeats

Show, using examples and informal reasoning, why long division of any fraction p/q must eventually produce a repeating decimal

Convert a repeating decimal to its equivalent fraction form using the algebraic subtraction technique

Recognize that irrational numbers -- such as sqrt2 and pi -- have decimal expansions that neither terminate nor repeat, and that they cannot be expressed as a ratio of two integers

8.NS.A.1

8.NS.A.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.