Begin with a whisper of curiosity, a spoonful of puzzles: Alcumus becomes your warm bowl, adaptive problems simmering to taste. Week by week you stir — Prealgebra foundations first, fractions, integers and ratios folded gently into number sense, drawing on Rusczyk, Patrick and Bopanna like a trusted recipe. Then Introduction to Algebra, where variables rise like yeast, equations kneaded and balanced until solutions bloom.
Geometry arrives as a bright citrus: Rusczyk’s Introduction to Geometry teaches lines, angles, congruence and similarity, proofs crisp and fragrant, constructions cut with care. Each chapter is a course, each problem a tasting menu: practice on Alcumus after study, review sessions like slow reductions to deepen flavour.
The course runs in three acts across a school year: Foundations (Prealgebra + daily Alcumus practice), Development (Introduction to Algebra + problem sets and timed contests), Mastery (Geometry + proof workshops and creative projects). Weekly rhythms: two focused lessons, three Alcumus sessions, one collaborative lab — puzzles, whiteboard explanations, peer critique. Assessment is delightful and gentle: mini-recipes of assessment — quizzes, a capstone project designing a math-based business plan, and reflective journals tracking strategy growth.
Enrichment threads weave Economics and Financial Literacy: percent and interest models, budgeting exercises, supply-and-demand graphs, break-even analysis, and simple investing simulations. Students learn to model profit with algebra, optimize costs with inequalities, and argue using geometric reasoning. Resources: AoPS texts, Alcumus, real-world datasets, and guest talks from entrepreneurs. By year’s end, the student savors reasoning, ready to taste higher mathematics and practical money mastery.
Monthly milestones mark progress: diagnostic, midterm portfolio, and final feast — a public presentation of the capstone, scored by rubric and peer vote, with opportunities for revision and mentorship; parents and teachers receive clear trackers, and students collect badges for problem streaks, creative proofs, budgeting simulations and entrepreneurial pitches for lifelong curiosity and confidence.