This lesson examines conditions where derivatives fail to exist, such as corners, cusps, and vertical tangents. Students explore the relationship between continuity and differentiability through case studies of 'pathological' functions.
A high-intensity, 120-minute math simulation. Students act as lead consultants, completing a high-speed skill warmup before selecting a professional sector (Music, Urban Planning, Rocket Science, or Sports Analytics) to solve a series of complex work orders.
Scaffolded practice activities ('Skill Missions') that review key concepts: linear equations, systems, sequences, lines of best fit, and factoring. These activities ensure students have the foundational skills needed for their final project.
A comprehensive, high-density single-page reference guide that displays all core mathematical models (Systems, Binomial Box Method, Trinomial Factoring, Sequences, Quadratics, and Scatter plots) to support consultants during the Career Summit.
A comprehensive review suite for the New York State Mathematics Regents exams, including Algebra 1, Geometry, and Algebra 2, featuring mastery blueprints, calculator strategies, and exam-taking tips.
A high-intensity, 2-hour math simulation where students act as lead consultants. They complete a scaffolded Skill Warmup before choosing one of four career paths (Music, Urban, Rocket, or Sports) to solve real-world "Work Orders" and delivering an Executive Pitch.
A comprehensive 6-page career simulation readiness packet covering systems of equations, polynomial multiplication (Box Method), factoring trinomials, arithmetic/geometric sequence telemetry, rocket trajectory vertices, and scatter plots. Scaffolded with clean workspaces, high-contrast visual grids, and certification sign-offs to prepare student consultants for the Career Summit.
