Begin with a whisper of curiosity: a fortnightly feast of problems from Art of Problem Solving's Alcumus, simmering each skill — arithmetic, number theory, logic — until confidence caramelizes. We pair that with Rusczyk's Prealgebra (2011) as the pantry: foundational measures, arithmetic fluency, and rudiments of variables, followed by Introduction to Algebra to knead abstract thinking into elegant structure. Geometry, via Rusczyk's Introduction to Geometry (2007), is our mise en place: proofs, transformations, area and volume become recipes for spatial reasoning.
Each module (3–4 weeks) blends practice (Alcumus sets), guided reading, and tantalizing projects: design a mini-market, model supply-and-demand curves, create a household budget, calculate loan amortization and compound interest, and pitch a small business using algebraic forecasts. Assessments are gentle tastings — short problem sets, one polished project per module, and reflective notes on strategy and mistakes.
By course end, the student will have a layered appetite for problem solving, fluency with algebraic manipulation, geometric reasoning, and practical financial literacy: budgeting, interest, investing basics, cost analysis, and entrepreneurial numeracy — all served with warmth and the occasional indulgent challenge. Regular reflection journals and celebratory showcases nurture mathematical taste, while optional competitions prepare the palate for national contests and scholarship opportunities and future careers.