Geometric Patterns in Māori Art and Architecture

Cultural Context & Safety Notes

He Whakapapa: Māori geometric patterns (such as kōwhaiwhai) hold deep cultural significance. They often represent genealogy (whakapapa), nature, and tribal identity. Always approach with respect.

Kaitiakitanga: Some patterns are sacred (tapu). Ensure students understand that copying exact designs without permission may be inappropriate.

Learning Objectives (NZC Aligned)

Key Concepts

1. Kōwhaiwhai (Rafter Patterns)

Kōwhaiwhai pattern example

These repeating patterns use transformations:

2. Tukutuku (Lattice Panels)

Tukutuku panel example

Mathematical features:

Activity: Design Your Own Kōwhaiwhai

Materials: Grid paper, rulers, compasses, digital design tools (optional)

  1. Choose a base shape (e.g., koru, triangle)
  2. Apply one transformation (reflection/rotation/translation)
  3. Repeat to create a repeating pattern
  4. Explain the mathematical rules used

Assessment Suggestions

Formative: Peer feedback on pattern accuracy

Summative Rubric:

Criteria Achieved Merit Excellence
Mathematical Accuracy Basic symmetry Two transformations Complex tessellation
Cultural Respect Avoids sacred motifs Explains inspiration Links to local iwi designs

Extension Activities

Teacher Implementation Guide

  1. Pre-lesson: Invite a local kaumātua to discuss pattern meanings (optional)
  2. Starter: Show examples from your local marae (Google Earth works well)
  3. Differentiation:
  4. Plenary: Students present designs using geometry vocabulary

Further Resources