In seventh grade, students begin with a thorough study of all real numbers, classifying rational and irrational numbers before an in-depth exploration of operations with positive and negative rational numbers. Algebraic expressions and multi-step equations are explored in depth, including distance and coin word problems and algebraic inequalities. The ratio-based reasoning built in previous years is connected to direct and inverse proportions and the corresponding graphs. Students work on an advanced statistics and probability unit, including mean absolute deviation, interpreting quartiles, and developing probability models before ending the year with angle properties and geometric construction. In addition, a 12-week financial education unit taught by a former actuary introduces students to the foundations of personal finance.