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Imagine a courtroom where the witness is x and the judge keeps asking Why? — that’s our cadence: curious, slightly theatrical, always precise. Year-long plan (Age 15): Weeks 1–20 focus on AoPS Introduction to Algebra and daily Alcumus: linear equations, inequalities, systems, functions, polynomials and factoring. Practice: adaptive Alcumus sets, weekly timed fluency drills, and a cost–revenue mini-project to model break-even and sensitivity. Weeks 21–40 shift to Introduction to Geometry: proof techniques, congruence, similarity, area/volume, circle theorems and coordinate synthesis. Practice: Alcumus geometry modules, mixed-problem synthesis weeks, and a finance capstone using spreadsheets and Desmos to display compound growth and profit visuals. Weekly rhythm: 5-6 Alcumus days (30–45 min), two lessons (book + proofs), one applied lab, timed set, written proof. Assessments: Alcumus mastery reports, three graded solutions, a geometry proof portfolio and financial-business presentation. ACARA v9 alignment: Number & Algebra, Measurement & Geometry, Mathematical Reasoning through modelling and proof. Final aim: contest readiness, rigorous proof skill, and practical financial numeracy — with curiosity as your spice. Present boldly; let x confess its secrets aloud today.


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