Picture a tiny courtroom of ideas: Ally McBeal’s aside meets math rigor. For a keen 15-year-old on an accelerated AoPS track, Weeks 1-8 finish Prealgebra (fractions, exponents, primes, ratios, percents, roots, introductory geometry, counting and probability). Weeks 9-20 launch Introduction to Algebra, covering linear equations, inequalities, functions, polynomials, quadratics and early number theory, while Introduction to Geometry runs alongside (similarity, congruence, circles, power of a point, transformations, introductory trigonometry). Rhythm: daily Alcumus practice, brief AoPS videos, weekly mixed assessments, fortnightly contest-style problem sets, and monthly milestone reviews. Targets: 90%+ Alcumus accuracy, 80%+ on timed mixed tests, confident AMC10-style problem solving. ACARA v9 alignment develops Number & Algebra, Measurement & Geometry, Statistics & Probability, and mathematical reasoning through problem-first tasks, spaced practice and reflection. Pedagogy: savor problems before solutions, pair algebra with geometry, and cultivate curiosity, precision, and spatial fluency. Weekly reflections and tutor feedback ensure steady progress and joyful mastery.