She wandered into ratios like a curious soloist, plucking Pythagorean threads on a monochord — click, listen, adjust. Collaborative, precise and thoughtful, she tuned ears and reasoning together, applying ratio notation to frequency relationships until patterns sang. Using manipulable apps, measured string‑lengths, predicted pitches, validated outcomes and adjusted tradeoffs with confident care. Melody composition exercises and demonstrations made abstract ratios concrete; her analytical listening sharpened, vocabulary deepened, explanations grew accurate and succinct. Pre‑unit responses showed emerging understanding; class work and reflections show readiness for targeted challenges. She communicates reasoning clearly, links mathematical ideas to sound phenomena, and shows exemplary practice in measurement, number sense and musical understanding. ACARA v9 alignment: Number and Algebra, Measurement and Geometry, The Arts (Music). Recommended next steps: extended inquiry tasks, higher-frequency analysis and reflective listening assignments.