Imagine math like a rich, slow-baked cake: we’ll finish Prealgebra—savouring fractions, exponents, primes, ratios, percentages, roots, basic geometry and counting—using Rusczyk’s problem-first approach and its thousand curious problems. Then, with a confident flip, we begin Introduction to Algebra—linear equations, quadratics, functions, polynomials and more—while Introduction to Geometry simmers beside it, exploring triangles, circles, similarity, transformations and elegant areas. Study is daily, probing problems before solutions, with Alcumus practice paths and free AoPS videos to taste and revisit lessons. Pace is accelerated: complete Prealgebra promptly, start Algebra in month two, carry Geometry throughout both stages for steady spatial development. Homework is a menu of targeted Alcumus sets and curated textbook problem batches; weekly reviews serve up spaced practice and contest-style appetizers. The result: a curious, confident 15‑year‑old who knows techniques, thinks flexibly, and delights in the unexpected proofs that finish like a perfect garnish. Mathematical appetite awakened, ready for challenge, always.