This document outlines five principles of modern math classrooms: conjecture, communication, collaboration, chaos, and celebration. For each principle, the document provides examples and explanations. It encourages students to generate their own questions and ideas, communicate their mathematical thinking to others, work together to solve problems, engage with open-ended and unsolved problems, and celebrate mistakes and learning. The document aims to move math instruction away from rote memorization and toward deeper understanding through exploration and problem-solving.