Overview & Intent

This two‑year plan synthesises the Trivium (Grammar, Logic, Rhetoric) and the Quadrivium (Arithmetic, Geometry, Music, Astronomy) into an atelier model tuned to lunar rhythms. It is place‑based for the Great Barrier Reef region, emphasises biodynamic coastal design, marine science, and couture/atelier craft, and foregrounds cross‑disciplinary project work with portfolio artifacts. Instructional cycles begin each lunar month; first cycle begins on the New Moon 20 December. The tone is elegant, curious and slightly magical — scholarly yet playful, like Beauxbatons by the sea.

Competency Framework — Synthesised

Core competencies map to Trivium + Quadrivium, with cross‑disciplinary fluencies.

• Grammar (Knowledge & Craft): Accurate content knowledge, vocabulary, notation (music notation, mathematical symbols, design specifications), craft techniques (sewing/carpentry basics).
• Logic (Analysis & Method): Reasoning, experimental method, mathematical proof and modelling, systems thinking, cause/effect in ecology and structures.
• Rhetoric (Communication & Presentation): Argumentation, creative narrative (film/documentary), exhibition curation, public performance.
• Arithmetic (Numeracy & Number Sense): AOPS sequence: begin AOPS Prealgebra (concurrent AOPS Intro to Geometry), progress through AOPS Intro to Algebra / Intro to Geometry concurrency, then onward through AOPS intermediate courses.
• Geometry (Space & Design): Spatial reasoning for coastal architecture, ergonomic design, pattern drafting for couture and soft furnishings.
• Music: Performance skills (violin, guitar, piano), composition, acoustics and mathematical relationships in sound.
• Astronomy / Calendrics: Lunar cycle literacy, tide prediction basics, marine phenology, biodynamic planting calendars.
• Transversal Fluencies: Ecological literacy, digital media literacy, atelier entrepreneurship, collaborative project management, safety & building biology.

Lunar‑Aligned Sequencing — Practical Notes

Lunar month ≈29.5 days. Each module = 1 lunar month focus (new moon to new moon); a larger project may span 2–3 lunar months. Starting New Moon: 20 December (Year of commencement). Rhythm supports fieldwork timed to tides, biodynamic planting, and night‑sky observation.

• Month 1 (New Moon start): Orientation, baseline diagnostics, launch performance/craft sprint.
• Month 2 (Waxing): Accumulation of skills (AOPS Prealgebra + Intro to Geometry concurrency), technique labs for instrument/atelier.
• Full Moon Month: Public sharing, performances, documentary screenings, site exhibitions (peak energy).
• Waning months: Reflection, iteration, deeper theory (Intro to Algebra concurrency), maintenance & restoration activities for biodynamic projects.

Schedule is intentionally cyclical: learning builds across lunar cycles and loops into cumulative capstone projects in Year 10.

Math Pathway (concise)

• AOPS Prealgebra (begin) concurrently with AOPS Intro to Geometry — emphasis on number sense, proof basics and spatial reasoning.
• Next cycle: AOPS Intro to Algebra run concurrently with continued Intro to Geometry practice and applied geometric design projects.
• Then proceed through the AOPS sequence (Intermediate Algebra, Geometry, Precalculus) paced across Years 9–11; assess through problem sets, projects, and oral defense (Rhetoric competency).

Assessment & Portfolios

Assess via competency rubrics (Grammar/Logic/Rhetoric + Quadrivium outcomes). Each exemplar artifact below lists mapped competencies, assessment criteria, and evidence. Portfolios (digital + tactile) are curated annually and presented at a Full Moon Salon (public/share event).

Twenty Filled Example Exemplar Artifacts

Each artifact: title (couture/marine style), medium, short description, mapped competencies, lunar month recommendation, assessment evidence.

1. "Nocturne of the Coral Violin"
   Medium: Solo violin recital & reflective essay

   A 12–15 minute solo violin program themed on reef rhythms; includes program notes connecting musical structure to tidal cycles and a short recorded performance.

   • Competencies: Music (performance), Rhetoric (program notes, presentation), Astronomy (lunar‑inspired phrasing).
   • Lunar timing: Full Moon salon for public performance.
   • Assessment evidence: video, score annotations, teacher/peer rubric on technique and interpretation.
2. "Guitar Tide Songs: Field‑Recording Mini‑Documentary"
   Medium: Audio‑visual documentary (7–12 min)

   On‑site field recordings of guitar improvisations with natural tide sounds; edited documentary that ties soundscapes to local species and biodynamic practices.

   • Competencies: Film & documentary storytelling, Grammar (research), Logic (editing choices), Music (arrangement).
   • Lunar timing: Waxing moon months for field recordings at rising tides.
   • Evidence: finished video, production notes, reflective log.
3. "Piano & Passage: Mathematical Fugue"
   Medium: Composition + demonstration linking fugue structure to algebraic sequences

   Student composes a short fugue whose countersubjects model arithmetic sequences taken from AOPS Prealgebra problems; includes annotated score and performance video.

   • Competencies: Music theory, Arithmetic/Algebra mapping, Rhetoric (explanatory notes).
   • Lunar timing: Waning moon months for composition and notation refinement.
   • Evidence: score, recording, explanatory write‑up mapping musical intervals to equations.
4. "Cinema des Dunes: Short Film on Coastal Memory"
   Medium: 12–20 minute short film + director’s statement

   A narrative short shot on location exploring human‑reef relationships; integrates interviews, archival footage and biodynamic planting sequences timed to the lunar calendar.

   • Competencies: Cinema studies, documentary technique, Rhetoric, building biology (site sensitivity).
   • Lunar timing: Multi‑month project spanning waxing to full moon for location continuity.
   • Evidence: final film, storyboard, shot list, reflective director’s statement.
5. "Couture of the Current: Soft Furnishings Capsule"
   Medium: 3‑piece soft furnishings collection (cushions, wall hanging, throws)

   Designs inspired by reef textures, using sustainable materials and biodynamic-dyed fabrics; includes pattern blocks, material sourcing log, and a small lookbook.

   • Competencies: Couture/soft furnishings, Grammar (pattern language), Geometry (pattern drafting), Ecology (material sourcing).
   • Lunar timing: New moon launch for dye‑baths (biodynamic timing) and waxing months for sewing sprints.
   • Evidence: finished objects, patterns, moodboard, supplier/impact notes.
6. "Atelier Carpentry: Tide Bench & Ergonomic Study"
   Medium: Built bench, design brief, ergonomic report

   Design and build a small outdoor bench for reef viewing using local timbers; document joinery, material science and ergonomic testing with users.

   • Competencies: Carpentry, Ergonomic design, Geometry (proportions), Building biology (material choice).
   • Lunar timing: Waning moon months for construction/curing as per biodynamic timber practices.
   • Evidence: construction photos, cutting list, user comfort survey, safety checklist.
7. "Pilates by the Reef: Movement Sequence & Anatomy Guide"
   Medium: Video class + anatomy poster

   Student choreographs a 30‑minute pilates sequence suitable for coastal athletes, paired with an illustrated poster showing muscular engagement and ergonomic adaptations for outdoor practice.

   • Competencies: Movement/dance/pilates, Rhetoric (instructional clarity), Biology (musculoskeletal awareness).
   • Lunar timing: Waxing months for program rollout when energy is rising.
   • Evidence: class video, client feedback, annotated anatomy poster.
8. "Yoga & Tidal Breath: Sequenced Practice + Phenology Journal"
   Medium: Guided video + seasonal journal

   Integrates breathwork with tide charts; student produces a guided practice and a phenology log showing correlations between tidal cycles and local flora/fauna behaviour.

   • Competencies: Movement pedagogy, Astronomy/tide literacy, Observation & recording (Grammar).
   • Lunar timing: Sequence launched at new moon for a month of daily practice and observation.
   • Evidence: video, journal excerpts, tide/lunar annotations.
9. "Dance of the Seafoam: Choreography & Notation"
   Medium: Dance piece, Laban notation excerpt

   Contemporary dance inspired by currents and seasonal sea life; student provides a short performance and Labanotation score showing spatial grammar.

   • Competencies: Dance composition, Geometry (space & pathways), Rhetoric (performance).
   • Lunar timing: Full Moon performance to share with community.
   • Evidence: performance video, Laban notation, choreographer’s notes.
10. "Ergonomy: Seafarer Seat Design for Reef Research"
    Medium: CAD model + prototype

    Design a compact, ergonomic seat for researchers on small craft; student models options, tests prototypes and submits a biomechanical report.

    • Competencies: Ergonomic design, Geometry, Building biology, Logic (testing methodology).
    • Lunar timing: Waning month for prototype refinement.
    • Evidence: CAD files, photos, biomechanical test data, user interviews.
11. "Coastal Architecture Model: Reef Observatorium"
    Medium: Scaled model + site report

    Design a small observatory/atelier that minimizes ecological impact. Includes scaled model, passive ventilation strategy, rainwater management and building biology notes.

    • Competencies: Coastal architecture, Geometry, Building biology, Ecology.
    • Lunar timing: Multi‑month; begin on New Moon aligning with site surveys.
    • Evidence: model photos, construction documents, impact assessment.
12. "Biodynamic Coastal Atelier Plan"
    Medium: Design portfolio + planting calendar

    Landscape design for a small coastal plot using biodynamic principles tied to the lunar calendar; includes soil tests, plant lists and seasonal care schedule.

    • Competencies: Biodynamic design, Ecology, Astronomy (lunar timing), Logic (experimental plots).
    • Lunar timing: Planting tied to specific lunar phases; plan launched on a new moon.
    • Evidence: plans, soil reports, photographic timeline.
13. "Sea‑Science Field Notebook: Citizen Data Series"
    Medium: Field notebook + dataset submission

    Weekly field observations (water temperature, salinity proxies, species counts) recorded across lunar months and prepared for citizen science repositories.

    • Competencies: Scientific method, data literacy (Arithmetic), Rhetoric (reporting).
    • Lunar timing: Continuous across cycles; analysed monthly at waning moon.
    • Evidence: dataset, graphs, submission confirmation to a repository.
14. "Mathematical Coral: AOPS Project Portfolio"
    Medium: Curated problem set solutions + project proving

    Collection of solved AOPS Prealgebra & Intro to Geometry problems with extended projects showing application to pattern generation (e.g., tessellations inspired by coral geometry).

    • Competencies: Arithmetic/Geometry, Logic (proof), Rhetoric (written solutions).
    • Lunar timing: Sequence aligned to training months; major review at full moon.
    • Evidence: annotated solutions, geometric pattern prints, oral defense video.
15. "Intro to Algebra Capstone: Tide‑Predictor Model"
    Medium: Mathematical model + code or spreadsheet

    Student constructs a simplified algebraic model of tide range combining lunar phase and local bathymetry parameters; includes sensitivity analysis.

    • Competencies: Intro to Algebra, Arithmetic modelling, Logic, Astronomy.
    • Lunar timing: Model validation across multiple lunar cycles (2+ months).
    • Evidence: model files, validation plots, explanatory write‑up.
16. "Documentary: Guardians of the Reef"
    Medium: 20–30 minute documentary + outreach plan

    Feature documentary on a local stewarding group; includes interview technique, ethical consent forms, distribution plan and community screening at Full Moon Salon.

    • Competencies: Documentary filmmaking, Rhetoric, Ethics, Community engagement.
    • Lunar timing: Final screening at Full Moon for community attendance.
    • Evidence: film file, distribution/engagement metrics, consent documentation.
17. "Couture Marine: Patterned Sail‑Cape"
    Medium: Wearable garment + pattern pack

    A lightweight sail‑cape inspired by reef mosaics, made with recycled sailcloth and biodynamic‑dyed silk lining. Includes production photos and small marketing sheet for an ethical atelier.

    • Competencies: Couture, Geometry (pattern drafting), Entrepreneurship, Ecology.
    • Lunar timing: Hate‑to‑have launched on waxing moon for market preview.
    • Evidence: garment, pattern pack, cost/impact spreadsheet.
18. "Soundscape Analysis: Reef Acoustics"
    Medium: Audio dataset + analytical report

    Collect and analyse reef soundscapes across lunar phases to detect patterns in animal calling and anthropogenic noise; includes spectrograms and statistical summaries.

    • Competencies: Music (acoustics), Logic (data analysis), Astronomy (phase correlation), Science method.
    • Lunar timing: Continuous recording across at least 2 lunar cycles.
    • Evidence: raw audio, spectrograms, analysis notebook.
19. "Ergonomic Soft Shell: Travel Cushion for Tide‑Watchers"
    Medium: Prototype + user testing report

    Design a portable cushion that supports posture during long coast watches; test with users and refine materials choice for building health.

    • Competencies: Ergonomic design, Building biology, Rhetoric (user testing reporting).
    • Lunar timing: Prototype testing across waxing and waning periods for different environmental conditions.
    • Evidence: prototype, user feedback forms, materials lifecycle notes.
20. "Sea Geometry: Tessellation Series for Soft Furnishings"
    Medium: Fabric print suite + geometric derivation

    Student develops tessellation motifs derived from coral branching and demonstrates the geometric transformations used (translation, rotation, reflection, glide reflection).

    • Competencies: Geometry, Art & Design, Grammar (mathematical notation).
    • Lunar timing: New moon for design launches, waxing for production.
    • Evidence: print samples, derivation notes, repeat pattern tiles.
21. "Capstone: Reef Atelier Exhibition & Defense"
    Medium: Multi‑artifact exhibition + oral defense

    Curate a small exhibition combining 3–5 artifacts from the list (one art performance/film, one design object, one mathematical/science project). Culminates in an oral defense (Rhetoric) before a panel in a Full Moon Salon.

    • Competencies: Integrated synthesis (Trivium + Quadrivium), Project management, Rhetoric.
    • Lunar timing: Year 10 Full Moon salon (capstone event).
    • Evidence: exhibition photos, defense video/transcript, rubric scores.

Note: artifacts above intentionally cross multiple competencies and combine arts, craft, STEM and ecological practice. Each artifact is adaptable in scope; rubrics should emphasize process, craft quality and interdisciplinary synthesis.

Implementation Tips (Beauxbatons Atelier Style)

• Keep ceremonies: open each lunar month with a short New Moon "launch" and close with reflective Full Moon Salon.
• Balance synchronous skill labs (instrument lessons, math problem sessions) with asynchronous studio time (sewing, CAD, field recording).
• Use paired assessment: student self‑reflection + external reviewer (mentor/parent/peer) to triangulate grades.
• Archive everything in a digital portfolio (video, audio, PDFs) and maintain a tactile portfolio chest for crafted objects.