Digital Technologies & Māori Art • Unit 7 • Years 7–10 • Create + Analyse

Kōwhaiwhai Pattern Design

Kōwhaiwhai are continuous patterns adorning the rafters of wharenui. They use symmetry, repetition, and geometric form — combining mathematics with living cultural expression. This handout guides you through the motifs, meanings, and mathematics to design your own.

Ingoa / Name
Akomanga / Class

Best for

Unit 7 art + mathematics integration — designing kōwhaiwhai digitally or by hand, then analysing the symmetry and geometric properties. Works well as a 2-lesson project.

Kaiako use

Read the tikanga section aloud together before students design. Emphasise that this is about learning from — not copying — specific iwi traditions. Invite students with whakapapa connections to share knowledge, not present it as expert.

Ākonga use

Read the motif meanings before you sketch. Start with pencil — plan your repetition unit first, then add colour. Complete the analysis questions after your design is finished.

Linked resources

In the digital design context, this links to computational thinking handouts on pattern algorithms and AI and pattern generation later in Unit 7.

Free design framework, premium localisation path

Want this connected to specific rohe traditions or a local wharenui your students can visit? Te Wānanga can build a localised version — with iwi-specific context and a digital design extension using SVG or vector tools.

  • Add context from a local wharenui or kura art programme.
  • Extend into digital design tools: SVG pattern creation, Inkscape, or Scratch symmetry projects.
  • Save student design portfolios in My Kete for cross-unit assessment.
Adapt this in Te Wānanga Open Creation Studio Compare paid workflow options

Kaiako planning snapshot

  • Use length: 2 lessons of 50–60 minutes. Lesson 1: cultural context, motif study, pencil sketch. Lesson 2: design finalisation, symmetry analysis, gallery sharing.
  • Grouping: Individual design with paired analysis discussion. Brief gallery walk at the end of lesson 2.
  • Prep: Provide rulers, compasses, and coloured pencils (red/black/white minimum). If doing digitally, have a vector or drawing tool open. Printed grid paper recommended.
  • Differentiation: Entry: use the koru motif only; focus on one line of reflection symmetry. On-level: use 2–3 motifs with at least two symmetry types. Extension: design a full border pattern and analyse all symmetry transformations mathematically.
  • Neurodiversity support: Pre-draw guide lines on printed canvas for students who need spatial structure. Allow students to trace motif templates before designing freehand. Verbal description of pattern rule is acceptable alongside or instead of diagram.
Mātauranga Māori Symmetry and geometry Cultural respect protocols

Resources already provided

  • Descriptions and meanings of four key kōwhaiwhai motifs (koru, mangopare, niho taniwha, pÄ«tau)
  • Traditional colour meanings (whero, pango, mā)
  • Three design canvas spaces — planning, reflection symmetry practice, gallery
  • Mathematical analysis section — symmetry type and repetition
  • Tikanga / cultural protocol notes

All design scaffold support is provided. Grid paper or digital drawing tools can supplement but are not required.

Ngā Whāinga Akoranga / Learning Intentions

  • We are learning to understand the cultural significance of kōwhaiwhai and the meanings carried by traditional motifs.
  • We are learning to apply geometric principles — symmetry, reflection, rotation, and repetition — through the design of a kōwhaiwhai pattern.
  • We are learning to engage with mātauranga Māori artistic traditions with appropriate tikanga and creative respect.

Paearu Angitu / Success Criteria

  • I can name at least three kōwhaiwhai motifs and explain their meanings in my own words.
  • I can design a continuous kōwhaiwhai-inspired pattern that uses at least one line of symmetry and a repeating unit.
  • I can identify and describe the geometric transformations in my pattern (reflection, rotation, or translation).

Curriculum alignment / Te Marautanga o Aotearoa

This design task connects to the NZ Curriculum's Mathematics strand (geometry — symmetry, transformation, pattern) and the Arts strand (visual arts — design with purpose and cultural context). It also develops understanding of tikanga and mātauranga Māori as living knowledge systems, connecting to the Digital Technologies strand via pattern and computational thinking.

Geometry and transformation Visual arts / design Mātauranga Māori
Open curriculum companion

Why this matters in Aotearoa

"He toi whakairo, he mana tangata" — where there is artistic excellence, there is human dignity. Kōwhaiwhai are not decorative in the Western sense — they are whakapapa made visible. Each motif holds genealogical and spiritual meaning specific to the whānau and hapū of the wharenui they adorn. When ākonga engage with these forms through mathematics and design, they practise a form of cross-disciplinary thinking that mātauranga Māori has always embodied: knowledge is not compartmentalised.

Ngā tohu o kōwhaiwhai / Motifs and their meanings

Learn these before you design. Understanding meaning is part of the practice.

Koru — Spiral

Represents new life, growth, strength, and peace. Based on the unfurling ponga (silver fern) frond. One of the most iconic forms in Māori visual culture — and one of the most geometric.

Mangopare — Hammerhead shark

Represents strength, leadership, and determination. The distinctive shape symbolises power and the ability to navigate through challenge.

Niho Taniwha — Taniwha's teeth

Represents strength, guardianship, and protection. The zigzag form is mathematically interesting — it creates alternating triangles with no wasted space.

Pītau — Unfurling fern

Represents new beginnings, harmony, and the continuation of life. Shows the circular nature of growth — related to the koru but with a more elongated scroll form.

Ngā tae o kōwhaiwhai / Traditional colours

Whero / Red

Life force, ancestors

Pango / Black

Potential, the void

Mā / White

Purity, light, peace

Hanga kōwhaiwhai / Design your own pattern

Plan before you draw. Complete the planning steps below, then use the canvas space to create your design.

Planning steps

  1. Choose your motif(s): koru / mangopare / niho taniwha / pītau
  2. Choose your colours: traditional (red/black/white) or add other meaningful colours
  3. Plan your repeat unit — will it reflect? rotate? translate along a line?
  4. Sketch lightly in pencil first, then add colour with care

My design uses this motif and this repeating rule:

Design canvas — draw your kōwhaiwhai pattern here
Remember: kōwhaiwhai flow continuously — think repetition and rhythm

What does your pattern represent? (Name and meaning)

Āhuatanga hangarau / Mathematical analysis

Analyse the geometric properties of your finished design.

Does your pattern have reflection symmetry? If yes, how many lines of symmetry?

Does it have rotational symmetry? If yes, what is the order of rotation?

What geometric shapes can you identify in your pattern? (circles, triangles, spirals, etc.)

Tikanga — Cultural protocol

Kōwhaiwhai are taonga — sacred art forms with deep cultural significance. Creating your own design in the spirit of this tradition requires both enthusiasm and respect.

Appropriate
  • Drawing inspiration from traditional forms
  • Creating with care and understanding
  • Learning what motifs mean before using them
Not appropriate
  • Copying exact sacred designs without permission
  • Using specific iwi designs out of their cultural context

When in doubt, consult with kaumātua or Māori art specialists. Learning is encouraged; appropriation is not.

Entry, on-level, and extension pathway

Entry

Use the koru motif only. Create a simple repeating pattern with one line of reflection symmetry. Complete the design name and meaning section.

On-level

Use 2–3 motifs with at least two types of symmetry. Complete the mathematical analysis in full and explain your colour choices.

Extension

Design a full border pattern 20+ units long. Analyse all symmetry transformations mathematically and connect your design choices to specific cultural meanings. Research a wharenui in your rohe and describe its kōwhaiwhai.

Hononga Marautanga · Curriculum Alignment

Digital Technologies — Hangarau Matihiko

Level 4–5: Explore computational thinking through pattern recognition and iteration; understand how repeating structures can be encoded, described, and reproduced digitally.

Social Sciences — Tikanga ā-Iwi

Level 3–4: Understand how technology shapes relationships, power, and identity within communities; evaluate the impacts of digital innovation on society and culture.

Aronga Mātauranga Māori

Kōwhaiwhai are not purely decorative — each pattern carries whakapapa, meaning, and tribal identity. When we encode kōwhaiwhai digitally, we carry a responsibility to understand the tikanga behind the design. Mātauranga Māori teaches that knowledge is relational: patterns in the natural world, in wharenui, and in digital systems all reflect deeper connections. This activity asks students to think algorithmically while also thinking culturally — two ways of knowing that are not in conflict but in conversation.

📋 Teacher Planning Snapshot

Ngā Whāinga Ako — Learning Intentions

Students will develop critical digital literacy by examining the ethical dimensions of AI systems, exploring how kaupeka matihiko (digital technologies) reflect and shape our values, and connecting concepts of tino rangatiratanga (self-determination) to digital sovereignty and data rights in Aotearoa.

Ngā Paearu Angitū — Success Criteria

  • ✅ I can identify ethical issues within AI systems and explain their real-world impact.
  • ✅ I can apply a te ao Māori lens to evaluate digital technologies and their effects on communities.
  • ✅ I can articulate what digital sovereignty means and why it matters for tangata whenua.

Differentiation & Inclusion

Scaffold support: Provide worked examples of AI bias scenarios with entry-level sentence starters. Offer extension tasks requiring students to research and present a case study of algorithmic injustice affecting indigenous communities.

ELL / ESOL: Pre-teach key digital technology vocabulary (algorithm, bias, data, sovereignty). Allow students to discuss concepts in home language before writing in English.

Inclusion: Use accessible formats with clear headings and visual supports. Neurodiverse learners benefit from structured ethical frameworks (e.g. decision trees) to navigate complex AI ethics scenarios.

Mātauranga Māori lens: Connect AI ethics to tikanga Māori values — particularly kaitiakitanga of data (who owns and controls information about Māori communities) and the principle of manaakitanga in how technologies should serve people equitably. Discuss the risks of algorithmic bias replicating colonial harm.

Prior knowledge: Best used after introductory digital technology concepts. No specialist prior knowledge required for entry-level engagement.