IN THE MATTER OF: The Education of a Keen 15‑Year‑Old (ACARA v9).
STATEMENT OF THE CASE: The pupil will complete AoPS Prealgebra if gaps exist; otherwise commence Introduction to Algebra while Introduction to Geometry runs concurrently. Alcumus supplies adaptive practice; AoPS videos supply tutorial whispers.
FINDINGS OF FACT: Prealgebra (fractions, exponents, primes, ratios, percents, radicals, basic geometry, counting, probability)—accelerated, 2–4 sections weekly, weekly assessments. Introduction to Algebra (linear equations, inequalities, polynomials, quadratics, functions, number theory) begins promptly; Introduction to Geometry (similarity, congruence, circles, power of a point, areas, transformations, basic trigonometry) simmers alongside with 1–2 sessions weekly.
CONCLUSION & ORDER: Target mastery: 90% Alcumus accuracy; 80%+ timed mixed tests; AMC10 readiness. Remedy: daily problem work, weekly reviews, reflective journals, steady curiosity. Delivered with rhythm—concise, quirky, and legally binding to learning. Objection overruled; continue with taste, patience, bold questions, spaced practice, and celebration of small, elegant victories, daily, weekly, joyful.