Original Promptdigital extended response question that ask students to classify a number as either rational or irrational and justify why
This resource focuses on classifying numbers into two categories: rational and irrational. It provides a clear objective for students to understand the definitions of both types of numbers and their characteristics based on decimal expansions. Rational numbers can be expressed as fractions and have decimal forms that either terminate or repeat, while irrational numbers cannot be written as simple fractions and have non-terminating, non-repeating decimal forms. Additionally, it includes sentence starters to help students articulate their reasoning, along with worked examples that illustrate these concepts. The resource concludes with directed classification exercises and a reflection prompt, encouraging students to summarize the differences between rational and irrational numbers' decimal expansions.