Local Area Exploration
Local Area Exploration · Years 7–9
Ngā Whāinga Akoranga · Learning Intentions
- Apply mathematical skills to investigate and solve real-world problems
- Represent and interpret data using appropriate mathematical tools and language
- Identify patterns and relationships in mathematical contexts including cultural settings
- Communicate mathematical reasoning clearly with supporting evidence and working
Paearu Angitu · Success Criteria
- I show clear mathematical working and can explain each step
- I can accurately represent data in at least one graphical or tabular form
- I can identify and explain a pattern or relationship in the data or problem
- I can connect my mathematical findings to a real-world or cultural context
Local Area Exploration
🏘️ Tūrangawaewae — a place to stand, a place to belongEvery place has multiple layers of story. Your local area has a physical geography (landforms, waterways, soils), a human geography (how people use and have used the land), a cultural geography (the names, memories, and meanings attached to places), and an ecological geography (the living systems that connect everything). This handout builds your ability to read all four layers at once.
Part 1 — Ngā Papa Tūārangi: Four-Layer Mapping
Sketch a map of your local area (approx. 1 km radius). Label at least 5 features from each layer. Include a compass direction and a rough scale.
🗺️ Sketch Map Space
Draw here (or use a separate sheet). Label
using all 4 layers.
Add a scale bar and compass direction.
- Which layer was hardest to find information about? What would you need to find it?
- Find the original Māori name for one physical feature in your area. What does it mean? What does it reveal about the landscape or its history?
Part 2 — He Rangahau Papa: Field Inquiry Walk
Walk your local area for 15 minutes with these four questions. Record what you observe, hear, and sense.
👁️ What I see
Land use, vegetation, water, animals, people, buildings
👂 What I hear
Traffic, birds, water, wind, construction, silence
❓ What I wonder
Questions this place raises. What don't you understand?
💚 What I feel
Safety, beauty, neglect, pride, concern, belonging
- Who does this area seem designed for? Who might feel unwelcome here? Use evidence from your walk.
- Identify ONE ecological/community asset and ONE neglected/misused place. Justify both with specific observations.
Part 3 — Inaianei rāua ko Tērā: Then vs Now
- Historical comparison: Use Auckland Council GIS, LINZ, or Papers Past for a historical map/aerial photo. Identify two changes since pre-1970. Describe what each site looked like then and now.
- Three perspectives: The same spot in your area — seen by (a) a Māori elder whose tīpuna farmed this land, (b) a property developer, (c) a conservation volunteer. Write 2 sentences for each person's perspective.
- Future planning: If you had authority to make ONE change — physical, ecological, or cultural — what would it be? Who benefits? Who might resist?
🏘️ Whakamutunga — Tūrangawaewae
Tūrangawaewae is not just sentimental — it is political. Having a place to stand means having rights, responsibilities, and relationship. Geographic literacy — the ability to read, advocate for, and shape places — is civic power. Ko tēnei tōku tūrangawaewae.
Te wero: Find out who the local hapū or iwi is for your area. What are they currently doing to protect, restore, or assert mana over this landscape?
🌿 Ngā Rauemi Hono
Hononga Marautanga · Curriculum Alignment
Level 3–4: Apply number operations, statistical analysis, and mathematical reasoning to solve real-world problems; represent data using appropriate tools; interpret and communicate mathematical findings clearly.
Level 3–4: Understand how mathematical data and statistics are used to describe and analyse social, economic, and environmental patterns; recognise how data can reveal or obscure inequality.
Tuhia ōu whakaaro · Write Your Thoughts
Reflect on your learning. What was the most important idea? What question do you still have?
Aronga Mātauranga Māori
Mathematics has always been part of mātauranga Māori — in the navigation of Te Moana-nui-a-Kiwa, in the architectural precision of wharenui, in the sophisticated storage and accounting systems of rua kūmara, and in the patterns of kōwhaiwhai and tukutuku that encode mathematical relationships in visual form. When Māori students engage with mathematics, they are not encountering something foreign: they are meeting a domain of knowledge that their tīpuna practised with extraordinary sophistication. Framing mathematical learning through whakapapa — connecting concepts to real Māori contexts — is not "cultural add-on" but recognition of where much mathematical knowledge lives in this land.
Ngā Rauemi Tautoko · Resources already provided
This handout is designed to be used alongside other resources in the same unit. Related materials are linked in the unit planner. All content is provided — no additional preparation is required to use this handout in your classroom.
📋 Teacher Planning Snapshot
Ngā Whāinga Ako — Learning Intentions
Students will engage with this resource to build understanding of Aotearoa New Zealand's ecosystems, biodiversity, and the role of kaitiakitanga in environmental stewardship.
Ngā Paearu Angitū — Success Criteria
- ✅ Students can explain key concepts from this resource using their own words.
- ✅ Students can connect the content to real-world environmental contexts in Aotearoa.
Differentiation & Inclusion
Scaffold support: Provide sentence starters, word banks, or graphic organisers to scaffold access for students who need it. Offer entry-level and extension tasks to address a range of readiness levels.
ELL / ESOL: Pre-teach key vocabulary and provide bilingual glossaries where available. Allow students to respond in their home language first.
Inclusion: Use accessible formats — clear font, adequate whitespace, structured tasks. Neurodiverse learners benefit from chunked instructions and choice in how they demonstrate understanding.
Prior knowledge: Best used after the relevant lesson sequence. No specialist prior knowledge required for entry-level engagement.