You are 15. This is an uncompromising, accelerated one‑year plan to master AoPS Introduction series (Prealgebra 1 & 2 plus Introduction to Geometry) using Alcumus and the video library. Expect daily practice, weekly tests, and heavy problem sets.
Structure: 32 weeks; 5 days/week. Weeks 1–8: Prealgebra 1 — Days 1–2 Arithmetic rules, exponents and zero/negative exponents; Days 3–4 Multiples, divisibility, primes, LCM/GCD; Day 5 Fractions/decimals review. Weeks 9–12: Advanced algebra — linear equations, word problems, inequalities, ratios, proportions, conversions, rates, percent basics. Weeks 13–16: Prealgebra 2 — percents, percent change, square/square roots, arithmetic with roots, weekly Alcumus mastery sets and a timed diagnostic. Weeks 17–24: Geometry core — angles, parallel lines, polygon angles, perimeter/area, triangle classification, similarity and congruence, Pythagorean theorem, special triangles, quadrilaterals. Weeks 25–28: Circles, tangents, power of a point, area tricks, three‑dimensional basics. Weeks 29–32: Transformations, analytic geometry, basic trigonometry, combined-problem weeks, comprehensive finals.
Each week: two focused lesson days, two problem-set days (AoPS + Alcumus), one review/quiz day. Monthly: full solutions review (solutions manual), one contest-style problem set. No shortcuts: master proofs, memorize key facts, drill weak spots until flawless. If you fall behind, repeat the week with zero leniency. This will prepare you for advanced algebra, contest math, and confident problem solving.
You will log hours, weekly parent check-ins, nightly Alcumus 30 problems. By year-end you'll have completed 1,800+ problems, mastered core proofs, and be ready for Algebra 2/Trig or math contests. No excuses — I expect rigor, discipline, and results. Start now; excellence doesn't wait. Work harder today.