In a slow, sumptuous whisper, this two-semester course for a 13-year-old entices the mind with algebraic spice and geometric perfume. Semester 1 (Beast Academy Advanced Math) steeps learners in playful but rigorous number theory, factors and multiples, prime factorization, integers and rational arithmetic, ratios, rates, introductory algebraic thinking, problem-solving heuristics and contest-style reasoning. Semester 2 (AoPS Alcumus + Prealgebra + Introduction to Geometry) unfolds structured practice in linear equations, inequalities, exponents, proportional reasoning, coordinate geometry, congruence and similarity, classical constructions, angle-chasing, area and volume, and combinatorics and probability.
Each week serves a small, decadent mosaic: drill, deep problem exploration, reflective write-ups and contest-style timed sets. Resources: Beast Academy for visual, playful problem fluency; AoPS Alcumus for adaptive remediation and extension; Rusczyk et al.'s Prealgebra to formalize algebraic technique; Introduction to Geometry to cultivate proof, precision and elegant arguments.
ACARA v9 alignment: Number and Algebra — operations, fractions, indices, factors, algebraic expressions, equations and inequalities, proportional reasoning. Measurement and Geometry — angle relationships, congruence and similarity, Pythagoras, coordinate geometry, area and volume. Statistics and Probability — data representation, measures of centre and spread, simple probability models. Mathematical reasoning and problem solving — strategies, modelling, proof and justification, communication.
Assessment: fortnightly problem sets, two semester projects (creative modelling and proof portfolio), diagnostic quizzes via Alcumus, end-of-semester mixed-format assessment. Differentiation: tiered problems, extension through AoPS contest tracks, consolidation via Beast Academy practice. Timeframe: 36 weeks, ~5–7 hours/week. Delightfully rigorous, sensually precise, and designed to leave the learner both satisfied and hungry for more.
Learning outcomes include confident manipulation of algebraic expressions, clear geometric proofs, facility with coordinate methods, improved contest performance and a habit of elegant solution writing. Parents and teachers will receive fortnightly progress notes and tailored extension packets; occasional 'feast days' of marathon problem sessions will celebrate growth and savour mathematical triumphs and loving curiosity.