Best for
Geometry, transformation, and arts-integrated inquiry where learners need a respectful Aotearoa context instead of anonymous textbook pattern tasks.
Pāngarau and toi Māori • Transformations • Years 5-10 • Ready to use tomorrow
Māori Geometric Patterns
Use this handout to help ākonga notice how translation, reflection, rotation, and symmetry appear in toi Māori. It keeps the mathematics visible without treating Māori design as decoration detached from story, place, and cultural meaning.
Free classroom starter, premium adaptation path
This handout is ready to print and teach. If you want it rebuilt around local pattern examples, a junior grid task, or a richer extension brief linked to your kura values, Te Wānanga can adapt it while keeping the mathematics and mātauranga Māori framing intact.
- Swap in local pattern references or marae-approved exemplars.
- Create support, core, and extension versions for mixed-readiness classes.
- Save the adapted version and reopen it later in My Kete or Creation Studio.
Kaiako planning snapshot
- Use length: 25-40 minutes depending on whether learners complete the design challenge in one sitting.
- Grouping: Whole-class analysis first, then pairs or independent design work.
- Prep: Decide what examples are appropriate for your class and whether local guidance is needed before students imitate particular motifs.
- Teaching move: Keep returning to the question, “What mathematics can we see?” before asking learners to create their own response.
Resources already provided
- Transformation vocabulary bank
- Observation prompts for pattern analysis
- Respectful design guidance
- Draw-and-explain workspace
- Curriculum companion for teacher planning clarity
If your lesson mentions reflection, rotation, or repeated pattern structure, those prompts already exist on this page.
Ngā Whāinga Akoranga / Learning Intentions
- We are learning to identify transformation ideas in patterned design.
- We are learning to describe how mathematics can appear in toi Māori.
- We are learning to create a design response that shows both structure and care.
Paearu Angitu / Success Criteria
- I can name at least two transformations I notice in a pattern.
- I can explain how repetition or symmetry is working.
- I can create and justify a design choice using mathematical language.
Curriculum integration / Te Marautanga alignment
Use the linked curriculum companion to make the transformation-geometry progression explicit and to keep the arts and mātauranga Māori framing visible in teacher planning.
Pattern is not just decoration
Toi Māori carries stories, whakapapa, relationships, and values. In class, the mathematics matters, but so does the reminder that patterns are cultural forms, not generic clip art. Good teaching makes both visible at once.
Transformation ideas to notice
Translation
A shape or motif slides and repeats along a path without changing its size or orientation.
Reflection
A form appears on one side of a line and is mirrored on the other.
Rotation
A motif turns around a point to create repeated structure from a different angle.
Symmetry
A design shows balance or repeat in ways the eye can describe and the mathematician can name.
Observe before you design
Which motif or shape repeats? ____________________________________________
What transformation do I notice first? ________________________________
Where is the line of symmetry or turning point? ________________________
What feeling, story, or value might the pattern be carrying? ____________
Respectful design challenge
Create your own pattern using at least two transformation ideas. Base it on a school value, local environment feature, or class theme rather than copying a pattern you do not understand.
Explain your mathematics
Use this frame if you need support: I used ... because ... The pattern repeats by ... and the design shows ...
Support, core, and stretch
Support
Analyse one simple motif only, label the transformation words provided, and sketch a short repeated strip instead of a full panel.
Core
Design a repeating pattern using at least two transformations and explain how the structure works.
Stretch
Create a more complex pattern that changes orientation or mirror line and justify each design choice using precise mathematical language.
Neurodiversity and inclusion note: offer pre-drawn grids, oral rehearsal, and alternative response modes so executive-function load does not hide the mathematical thinking.
Teach this tomorrow
Print or share
- One copy per learner
- Optional local image examples approved for class use
Decide before class
- Which examples are appropriate to analyse or emulate
- How much explicit transformation modelling students need first
Good progress looks like
- Students use mathematical words accurately
- Designs show observation and structure, not random decoration
Natural continuation
- Move into architecture, tukutuku, or digital design studies
- Adapt the brief in Te Wānanga for your local context
Hononga Marautanga · Curriculum Alignment
Social Sciences — Tikanga ā-Iwi
Level 3–4: Investigate social, cultural, environmental, and economic questions; gather and evaluate evidence from diverse sources; communicate findings and reasoning clearly for different audiences and purposes.
English — Communication
Level 3–4: Read, interpret, and evaluate information texts; write clearly and purposefully for specific audiences; apply critical thinking skills to evaluate sources and construct well-reasoned responses.
Aronga Mātauranga Māori
This resource sits within a kaupapa that recognises mātauranga Māori as a living knowledge system with its own frameworks, values, and ways of understanding the world. The New Zealand Curriculum calls for learning that reflects the bicultural partnership of Te Tiriti o Waitangi, which means every subject area has an obligation to engage authentically with Māori perspectives — not as cultural decoration but as substantive contributions to how we understand our topics. The concepts of manaakitanga (care for others), kaitiakitanga (guardianship), whanaungatanga (relationship and belonging), and tino rangatiratanga (self-determination) provide a values framework applicable across all learning areas, and all are relevant to the work in this handout.
Ngā Rauemi Tautoko · Support Materials
This handout is designed to be used alongside the broader unit resources available at Te Kete Ako handouts library. Related resources from the same unit are linked in the unit planner. All resources are provided — no additional preparation is required to use this handout in your classroom.