IN THE COURT OF STUDY: Introduction to Algebra and Geometry — Year 9 prospectus, ACARA v9-aligned.
CLAIM: The student will master linear equations, inequalities, systems, functions, polynomials, factoring, Euclidean proofs, congruence, similarity, area and volume, circle theorems and coordinate geometry; apply algebra to cost, revenue, profit, and compound interest.
EVIDENCE: Rusczyk texts, Alcumus daily targeted practice, Desmos and GeoGebra visualisation, spreadsheets for modelling.
PROCEDURE: Weekly Alcumus sets with escalating difficulty; reading goals (half to two thirds of Introduction to Algebra; major geometry proof chapters); mini-projects modelling break-even and sensitivity; final capstone simulating a business or investment portfolio presented with algebraic and geometric graphs.
JUDGMENT: Daily practice, weekly problems, monthly projects; aligns to ACARA v9 content strands and fosters problem solving, proof skills and financial numeracy.