Students will learn the difference between rational and irrational numbers. They'll also learn how to classify numbers as whole numbers, integers, rational numbers, and irrational numbers. In addition to all this, they'll learn how to convert repeating decimals to fractions.

Watch these Khan Academy videos:

Do these Khan Academy exercises:

Next, give your students these challenges:

- 2017 MATH KANGAROO LEVEL 7-8 PROBLEM #30 by STEM4all
- A Square of Numbers by NRICH
- Three Neighbours by NRICH

Conclude by leading this investigation:

Lazy Toads on a Star (algebra, symmetry, algorithm)

by MathPickle

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.