Lesson 10: Coordinate Geometry Zoo Capstone — Navigator and Designer
Demonstrating mastery of all coordinate geometry skills — distance, midpoint, gradient, and plotting — through an integrated zoo design and navigation challenge.
🎯 Ngā Whāinga Akoranga | Learning Intentions
How to integrate all four coordinate geometry skills (plotting, distance, midpoint, gradient) in a single design task; how professional surveyors and urban planners use coordinate geometry daily.
Complete a coordinate geometry report for a new Hamilton Zoo section, demonstrating all four skills with correct calculations and clear justifications.
🎥 Media Anchor & Mathematical Scaffold
Mathematics in Context: Hamilton Zoo
Watch the full clip — 1:52. Source: Ordnance Survey. Lesson 6 used the same source's 6-figure method; this is the 4-figure companion, which is the precision a visitor map actually gives you.
🧠 1. Before Viewing
You have used coordinates to navigate, calculate distances, find midpoints, and measure gradients. Now — bring it all together. Design and analyse a new 'Taonga Species' section for Hamilton Zoo.
👁️ 2. During Viewing
- Early in the clip: List the four coordinate geometry skills from this unit. For your capstone design, where will you use each one?
- Midway: The most powerful thing about coordinate geometry is precision — you can calculate exactly rather than estimate. Give one example from your design where precision matters most.
- Later in the clip: How would a real zoo architect use coordinate geometry software (CAD) in their design process? How does what you've done manually this unit connect to professional practice?
🗣️ 3. After Viewing — Kaiako Move
Kaiako Move: Share the capstone brief. Show an exemplar design with mathematical annotations. Celebrate the sophistication of coordinate geometry — this is the same mathematics used in GPS, architecture, and engineering.
Task: Capstone Zoo Design: Design a new Taonga Species section on a 12×12 coordinate grid. Show: 6 plotted enclosures with coordinates, 3 distance calculations, 2 midpoints, 1 gradient calculation for an accessible pathway.
⚡ Whakaoho | Do Now (5 mins)
Three-minute self-assessment: rate yourself 1–5 on each of the four skills. Identify which skill needs most reinforcement. Write one worked example from today using your strongest skill.
📐 Activity 1: Guided Mathematical Exploration (25 mins)
Peer review: exchange your capstone designs. Check three of your partner's calculations for accuracy. Write one piece of appreciative feedback and one correction if needed.
✍️ Activity 2: Application & Reflection (20 mins)
Capstone reflection: write a paragraph explaining how coordinate geometry tools connect to real-world professions. Which profession would use ALL four skills you've learned?
🏫 Kaiako Planning & Pedagogy Notes
Curriculum Alignment: Te Mātaiaho Mathematics Phase 3/4 — Integrated coordinate geometry project: demonstrate mastery of plotting, distance, midpoint, and gradient.
Hamilton Zoo Context: All tasks use authentic zoo spatial data. Print the map and have every earlier lesson's marked-up copies available; the capstone assembles them.
Cultural Connection: Across this unit ākonga have used a coordinate system to describe a real place. Kaitiakitanga asks the further question the maths cannot answer on its own: what do the people responsible for this place owe the animals in it?