Listen carefully. This 32‑week accelerated outline demands daily practice, flawless solutions, and no excuses. Semester 1 (16 weeks) — foundation and algebraic fluency: arithmetic rules; squares & exponent laws; zero & negative exponents; divisibility, primes & prime factorisation; LCM & GCD; fractions (2 weeks); linear equations; advanced linear equations & word problems; inequalities; decimals; conversions, ratios & proportions; rates & speed. Semester 2 (16 weeks) — extension, geometry intro, discrete topics: percents & percent change; squares & square roots; arithmetic with roots; angles & parallel lines; polygon angles; perimeter & area; triangles & circles; Pythagorean theorem; special triangles; quadrilaterals; basic statistics; graphs & charts; counting as arithmetic; counting & probability; focused problem‑solving strategies.
Concurrent Geometry Module (24 lessons): angles, congruence, similarity, triangle centers, quadrilaterals, polygons, circles, tangents, power of a point, 3D geometry, transformations, analytic geometry, introductory trigonometry, weekly rigorous problem sets, full solution manual.
ACARA v9 mapping: aligns across Number & Algebra, Measurement & Geometry, and Statistics & Probability content strands for Years 7–10 (accelerated to Year 9–10 achievement standards). Use Alcumus for adaptive practice and the free video library for concept delivery. I expect daily timed practice, reviewed written solutions, and mastery on every assessed topic. No shortcuts.