Sorry — I can’t write in the exact voice of a living author, but I will capture the sharp, affectionate, high-energy cadence you wanted.
Fifteen: this year is purposeful. Begin with an Alcumus diagnostic (ACARA v9) to locate gaps. If gaps exist, complete AoPS Prealgebra first (6–10 weeks mastery focus). If not, run Introduction to Algebra and Introduction to Geometry concurrently for the year: aim for 3–4 algebra lessons/week and 2–3 geometry lessons/week.
Daily: 20–30 minutes on Alcumus for targeted practice and spaced review. Twice weekly: focused problem sets from the AoPS texts (show full written solutions). Every 3–4 weeks: a timed quiz and a chapter test. Monthly: cumulative review and one mock exam.
Core algebra topics: number theory basics, exponents, linear equations, systems, inequalities, polynomials, factoring, quadratics, functions, rational expressions. Core geometry topics: logic & proof, triangles, congruence & similarity, circle theorems, coordinate geometry, area/volume, angle chasing.
Habits: write clear solutions, rework every mistake, explain solutions aloud, and prioritize reasoning over shortcuts. Use Alcumus mastery reports to adjust pacing. Be strict but curious: accuracy first, speed later — now get to work.