📋 Unit Overview
Hamilton Zoo Mathematics provides a contextualized learning environment where students explore Position and Orientation through the layout of Hamilton Zoo. The unit progresses from simple grid references to complex coordinate geometry and optimisation problems.
Students will act as "Zoo Planners" and "Navigators", solving real-world problems involving distance, direction, and spatial planning.
Essential Questions
- How can we describe location precisely?
- How do coordinate systems help us model real-world spaces?
- How can mathematics optimise design and logistics?
🧠 Key Concepts
📍 Coordinate Systems
Understanding grids, x and y axes, origin points, and 4-quadrant plotting.
📏 Measurement
Calculating distance using scale, Manhattan distance, and Euclidean distance (Pythagoras).
🧭 Transformation
Translating, reflecting, and rotating objects within a coordinate space.
🦁 Contextual Modelling
Applying abstract mathematical concepts to fixed physical constraints (the Zoo map).
📋 Curriculum Alignment
NZ Curriculum - Mathematics & Statistics
- Geometry & Measurement: Position and Orientation.
- Level 3: Use a coordinate system or the language of direction and distance to specify locations and describe paths.
- Level 4: Use a co-ordinate system or the language of direction and distance to specify locations and describe paths.
- Level 5: Apply coordinate geometry techniques to points and lines.
📋 Teacher Planning Snapshot
Ngā Whāinga Ako — Learning Intentions
Students will apply mathematical thinking to authentic contexts at Te Kāhui Kararehe o Kirikiriroa (Hamilton Zoo), developing tūhuratanga (statistical inquiry) skills through real data about animal populations, habitats, and conservation. This unit connects maths to kaitiakitanga — our responsibility to care for ngā manu me ngā kararehe of Aotearoa.
Ngā Paearu Angitū — Success Criteria
- ✅ I can collect, display, and interpret data about animals using appropriate graphs and statistics.
- ✅ I can apply measurement, geometry, or number skills to solve real problems in a zoo context.
- ✅ I can connect mathematical findings to conservation and kaitiakitanga for native species.
Differentiation & Inclusion
Scaffold support: Provide pre-drawn graph templates and data tables for entry-level access. Offer extension tasks requiring students to design their own statistical investigation using zoo population data and write a conservation recommendation backed by evidence.
ELL / ESOL: Pre-teach mathematics and conservation vocabulary. Use visual supports — diagrams, models, and real objects where possible. Allow students to explain their mathematical thinking verbally before writing.
Inclusion: Offer manipulatives and calculator access to support all learners. Neurodiverse learners benefit from structured inquiry frameworks, clear success criteria, and choice in how they present mathematical findings. The hands-on, real-world context of zoo mathematics motivates engagement across learning profiles.
Mātauranga Māori lens: Connect to traditional Māori knowledge of kararehe and manu — including the significance of native species like tuatara, kiwi, and kākāpō in tikanga Māori. Use maramataka (traditional Māori lunar calendar) as a context for data and pattern recognition. Frame conservation mathematics as a practical expression of kaitiakitanga.
Prior knowledge: Best used after foundational statistics and measurement skills. Connects well to science ecology units.
Curriculum alignment
- Mathematics — Statistics: Students investigate questions by using the statistical enquiry cycle, including gathering and displaying data.
- Mathematics — Measurement: Students use measurement to solve problems involving length, area, volume, and time in real contexts.
🔗 Unit Progression & Next Steps
The 8 lessons in this unit, in teaching order:
- 📖 Lesson 1: Hamilton Zoo Adventure: Coordinate Geometry Level 3
- 📖 Lesson 2: Hamilton Zoo Analytics: Advanced Coordinate Geometry
- 📖 Lesson 3: Hamilton Zoo Grid Explorer - Phase 2
- 📖 Lesson 4: Hamilton Zoo Grid Explorer - Phase 2
- 📖 Lesson 5: Hamilton Zoo Coordinate Navigator - Phase 3
- 📖 Lesson 6: Hamilton Zoo Advanced Analytics - Phase 4
- 📖 Lesson 7: Conservation Analytics
- 📖 Lesson 8: Hamilton Zoo Map Adventure - Year 6