She picked up the violin this year, and, oh, what a plot twist. In two units we married music and math: Pythagorean scale building and interval-ratio analysis. Aligned to ACARA v9 Music and Mathematics outcomes, she practised pitch discrimination, tuning precision, proportional reasoning and frequency calculation. Unit 1: independently constructed a Pythagorean C scale using concrete ratios, sensed relative pitches, calculated octave bounds and converted repeating decimals to simplified fractions (with gentle scaffolding on truncation versus rounding). Unit 2: created a clear, rationale-based interval ratio table, simplified ratios, and justified choices with tidy notation and confident oral explanation. Assessment shows competency in ear training, discriminating semitone relationships, and applying computation to sound. Habits formed: disciplined warm-ups, focused tuning drills and reflective practice logs. She communicates processes, uses algebraic thinking for decimal-to-fraction conversion, and translates numeric results into small tuning adjustments. Next steps: extend to just intonation comparisons, more aural drills and repertoire linking. Delightfully cooperative, curious and mathematically articulate, ready for deeper integration of theory and performance.
Evidence includes tuning logs, interval-ratio worksheets, audio clips of tuning experiments and a brief performance that demonstrates tightened intonation. Recommended resources: frequency calculators, interval cards and metronome-based ear drills; keep daily focused sessions.