An accelerated, sultry syllabus for a keen 15‑year‑old: we finish AoPS Prealgebra fast—fractions, exponents, primes, ratios, percents, roots, counting and basic geometry—then plunge into Introduction to Algebra while Introduction to Geometry simmers beside it. Rhythm: 2–4 Prealgebra sections/week with problem sets and weekly checks until mastery, then brisk Algebra sections (linear equations, inequalities, quadratics, polynomials, functions, intro number theory) with 1–2 geometry sessions weekly (similarity, congruence, circles, power of a point, areas, intro trigonometry). Practice is Alcumus daily, AoPS videos for taste, timed mixed-topic tests aiming for 80–90% mastery, and AMC-style problems as appetizers. ACARA v9-aligned across Number & Algebra, Measurement & Geometry, and Statistics & Probability — building procedural fluency, problem solving, reasoning and modelling. Serve with curiosity, a dash of patience, and regular reflection: an accelerated, elegant entrée into higher mathematics.