Core Skills Analysis
Mathematics – Algebra
In Term 1 the student solved linear and quadratic equations, plotted the resulting functions on the Cartesian plane, and interpreted the graphs to understand slope and intercept. They tackled systems of inequalities, learning how to shade feasible regions and identify solution sets. The introduction to complex numbers expanded their number‑system awareness, allowing them to perform arithmetic with imaginary units and explore geometric representations of complex planes. Throughout, the student connected algebraic manipulation to real‑world financial modelling scenarios.
Mathematics – Geometry & Trigonometry
During Term 3 the student studied formal logic and proof techniques, constructing two‑column proofs for properties of triangles and circles. They measured and calculated dimensions of 2‑D and 3‑D shapes, applying the Pythagorean theorem and trigonometric ratios to solve real‑world problems. Analytic geometry tasks required translating geometric figures into algebraic equations, reinforcing the link between the coordinate plane and spatial reasoning. These experiences laid a solid foundation for future precalculus work.
English / Literature – Jane Austen Prose
The learner composed a prospectus for a Year 10‑12 finance course using the diction, sentence structure, and irony characteristic of Jane Austen’s novels. By mimicking Austen’s style, they examined narrative voice, period vocabulary, and rhetorical techniques, sharpening their analytical reading and creative writing skills. The activity also required them to adapt complex financial concepts into a literary format, demonstrating an ability to translate technical jargon into engaging prose.
Economics & Business Studies – Financial Modelling
Students created basic stock‑market models, using algebraic expressions to represent price movements, dividend yields, and portfolio growth. They evaluated optimisation problems by applying inequality techniques to maximise returns while minimising risk. The activity integrated economic terminology—supply, demand, market equilibrium—into mathematical calculations, giving the student a practical understanding of how quantitative methods support financial decision‑making.
Tips
To deepen learning, have students design a spreadsheet that links quadratic revenue functions to real stock‑price data, then present their findings in an Austen‑style narrative. Follow up with a geometry‑based field project where learners measure angles and distances on the school grounds and translate those measurements into trigonometric equations. Organise a debate where teams defend or critique a financial model using evidence from both algebraic results and economic theory. Finally, encourage students to write a short story set in Regency England that incorporates a modern financial crisis, reinforcing cross‑curricular connections.
Book Recommendations
- Pride and Prejudice by Jane Austen: A classic novel that showcases Austen's witty prose, perfect for studying style, irony, and period language while inspiring creative writing.
- Introduction to Algebra by Richard Rusczyk: A rigorous, problem‑focused algebra text that aligns with ACARA standards and provides challenging exercises for advanced secondary students.
- The Little Book of Stock Market Investing by Tycho Press: An accessible guide that explains basic stock‑market concepts, portfolio construction, and simple financial models suitable for senior secondary learners.
Learning Standards
- ACH10-14: Manipulate algebraic expressions and solve linear equations.
- ACH12-19: Apply quadratic functions and interpret their graphs.
- ACH12-20: Explore complex numbers and their geometric representations.
- ACH13-28: Use logical reasoning and formal proofs in geometry.
- ACH13-34: Apply trigonometric ratios to solve real‑world problems.
- ACELA1664: Analyse and produce literary texts, focusing on style and voice.
- ACHBS095: Evaluate financial information and model economic scenarios.
Try This Next
- Worksheet: Convert a series of daily stock prices into a linear equation and graph the trend line.
- Quiz: Match complex‑number operations (addition, multiplication) to their geometric representations on the Argand diagram.
- Drawing Task: Sketch a Regency‑era scene and label geometric shapes, then write the corresponding algebraic equations.
- Writing Prompt: Draft a 300‑word market‑crash report using Jane Austen’s narrative voice, integrating at least three algebraic functions.