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Accelerated AoPS Plan (Age 15): Finish Prealgebra → Start Intro Algebra; Geometry concurrent

You will not meander. You will finish Prealgebra and immediately begin Introduction to Algebra while studying Introduction to Geometry throughout. Daily discipline wins.

  1. Stage 1 — Finish Prealgebra: Complete every chapter's problems before reading solutions. Use the solutions manual only after 30 minutes of independent struggle. Daily: 90–120 minutes — 45–60 minutes textbook problems, 30 minutes Alcumus practice targeting weak topics, 15–30 minutes AoPS video review. Weekly: one timed problem set and error log.
  2. Stage 2 — Start Introduction to Algebra (accelerated): Same routine, increase problem difficulty and start contest-style sets. Continue Alcumus tracks for algebraic techniques and functions. Maintain 90–120 minutes daily focused practice.
  3. Geometry concurrently: Three focused sessions per week (60–90 minutes each) from Introduction to Geometry: attempt problems first, then study solution strategies. Rotate geometry Alcumus modules and videos.
  4. Assessment & mastery: Monthly cumulative tests, strict error review, and repeat problems until perfect. Track progress numerically; no excuses for skipped practice.

You will be relentless, systematic, and accountable. Follow this plan and you will move through the AoPS sequence quickly and with true understanding.


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