Year-long Math & Finance Prospectus (age 15): Imagine a courtroom where x is the witness and the judge asks, "Why?"—curious, theatrical, precise. Weeks 1–20: AoPS Intro to Algebra + daily Alcumus—linear equations, inequalities, systems, functions, polynomials, factoring; weekly timed fluency, project: cost-revenue-break-even analysis. Weeks 21–40: AoPS Intro to Geometry—proof techniques, congruence, similarity, area/volume, circle theorems and coordinate synthesis; Alcumus geometry modules; capstone: financial model with compound growth, spreadsheets and Desmos. Weekly rhythm: 5–6 Alcumus sessions (30–45 min), 2 lessons (text + proofs), 1 applied lab, weekly timed set. Enrichment: loan amortization, pricing models, supply-demand explorations. Assessment: Alcumus mastery reports, a proof portfolio, and a business presentation. ACARA v9-aligned across Number & Algebra, Measurement & Geometry, and Mathematical Reasoning. Sotto voce: keep curiosity as your spice—present boldly, and let x tell its story. By year’s end you’ll gain contest readiness, disciplined practice habits, and practical financial numeracy to make decisions confidently.