Imagine mathematics as a slow‑baked tart: layers of flavour built gently, each proof and problem folded in with care. This accelerated 2‑semester course (age 15) blends the Prealgebra 1 & 2 sequence with a full Introduction to Geometry, designed to map neatly to ACARA v9 strands — Number & Algebra, Measurement & Geometry, and Statistics & Probability — accelerated through Years 7–10 content.
Course flavour and pedagogy: each section opens with savoury, challenging problems the student attempts unaided. Solutions follow, teaching algebraic and geometric techniques; key facts and problem‑solving recipes are highlighted. Over 1,900 problems across texts and full solutions in the manual. Alcumus exercises and a free video collection are tightly aligned to each chapter for deliberate practice and visual seasoning.
ACARA v9 mapping: content aligned to the three v9 strands with progressive year‑level depth — Number & Algebra (exponents, primes, fractions, ratios, linear equations, inequalities), Measurement & Geometry (angles, area, perimeter, similar triangles, circles, 3D), and Statistics & Probability (basic statistics, counting, probability). This course accelerates students toward Year 10 outcomes while preserving mastery.
Semester 1 (weeks/theme highlights): arithmetic rules; exponent laws; divisibility, primes and factorisation; LCM/GCD; fractions & decimals; linear equations and inequalities; ratios, proportions, conversions, rates. Alcumus sets for each topic.
Semester 2 (weeks/theme highlights): percents & percent change; square roots; geometry toolbox — angles, polygons, perimeter & area, triangles, circles, Pythagoras, special triangles; introduction to counting & probability; basic statistics; problem‑solving strategies. Geometry book supplements with similarity, congruence, circles, power of a point, transformations, analytic geometry and introductory trig.
Assessment: weekly Alcumus diagnostics, fortnightly problem sets, term challenges. Pace is accelerated but nourishing — gently rigorous, delightfully exacting, and utterly delicious for the curious mind.