Mathematics

Year 10 · Term 3

IDU — Aesthetics

Learning Objectives

Mathematical Aesthetics

  1. 1. Identify symmetry (reflective, rotational and translational) in a piece of art, architecture or natural form.
  2. 2. Use geometric vocabulary (proportion, ratio, tessellation, fractal) to describe an aesthetic choice.
  3. 3. Investigate the golden ratio $\varphi$ and where it appears in art, architecture and biology.
  4. 4. Construct a geometric pattern, tessellation or fractal that meets a stated aesthetic constraint.

Interdisciplinary Inquiry (Criterion D)

  1. 5. Compare how mathematics and another subject (Language, Visual Arts, Music) each describe a chosen aesthetic concept.
  2. 6. Bring evidence from both disciplines together to support a single interdisciplinary claim.
  3. 7. Reflect on how a mathematical lens changes the way an aesthetic object is read or made.
  4. 8. Discuss age-appropriate Theory of Knowledge questions about beauty, pattern and proof.

Presenting the IDU

  1. 9. Plan and produce an IDU artefact (poster, slide deck, model or short report) that meets Criterion D expectations.
  2. 10. Use consistent terminology and notation across the mathematical and non-mathematical parts of the IDU.
  3. 11. Cite sources for images, ideas and data, including images of artworks and architecture.
  4. 12. Evaluate the final IDU against the published rubric and reflect on what worked and what to improve.