Lesson 4: Area & Perimeter of Zoo Enclosures
Using Hamilton Zoo enclosures as real-world shapes to calculate area and perimeter — and understanding why enclosure size matters for animal wellbeing and kaitiakitanga.
🎯 Ngā Whāinga Akoranga | Learning Intentions
Perimeter = total distance around a shape; area = space inside a shape (length × width for rectangles); why larger enclosures support better animal welfare.
Calculate the perimeter and area of four Hamilton Zoo enclosures using scale measurements; compare enclosure sizes and discuss implications for animal welfare.
🎥 Media Anchor & Mathematical Scaffold
Area and Perimeter: Real-World Applications
Video: kaiako to select — guidance below.
🎬 Kaiako: Select and embed a video here
Suggested search: "Area and Perimeter: Real-World Applications"
Search YouTube for a short clip (5–10 min) on this topic. Verify it is age-appropriate and plays correctly before embedding. Add data-oembed-verified="true" only after verifying via YouTube oEmbed.
🧠 1. Before Viewing
Look at the chimpanzee enclosure on the zoo map. It looks like a rectangle. If the real enclosure is 40m × 25m — how far would a chimp walk if it went around the perimeter once? And how big is the area it lives in?
👁️ 2. During Viewing
- Early in the clip: For a rectangle: perimeter = 2 × (length + width). Area = length × width. Apply these to the giraffe enclosure measurements on your sheet.
- Midway: Which is a better measure of how much space an animal has — perimeter or area? Why?
- Later in the clip: The minimum space required for a chimpanzee is 550 square metres (NZ law). Check: does Hamilton Zoo's enclosure meet this requirement using your calculations?
🗣️ 3. After Viewing — Kaiako Move
Kaiako Move: Connect to kaitiakitanga — we have a responsibility to ensure animals in our care have enough space to express natural behaviours. Challenge students: which enclosure at Hamilton Zoo might need to be larger based on the animal's natural range?
Task: Enclosure Analysis: Calculate the perimeter and area of four zoo enclosures. Compare each to the minimum legal requirement for that species. Write one sentence recommending any changes.
⚡ Whakaoho | Do Now (5 mins)
Without measuring — estimate: is the area of the lion enclosure closer to (a) 50m², (b) 500m², or (c) 5,000m²? Explain your reasoning.
📐 Activity 1: Guided Mathematical Exploration (25 mins)
Enclosure design challenge: given a budget of 400m of fencing (= perimeter), design a zoo enclosure that maximises area for a new Hector's dolphin tank. What shape gives the most space?
✍️ Activity 2: Application & Reflection (20 mins)
Welfare report: using your area calculations, write a 100-word animal welfare report on one Hamilton Zoo enclosure. Does it meet minimum requirements? What improvements would you recommend?
🏫 Kaiako Planning & Pedagogy Notes
Curriculum Alignment: Te Mataiaho Mathematics Phase 3 — Measurement: calculate area and perimeter of rectangles in authentic contexts; connect to real-world decision-making.
Hamilton Zoo Context: All mathematical tasks use the real Hamilton Zoo layout. Students work with actual zoo map coordinates, real enclosure distances, and genuine visitor pathway data where possible. This authentic context increases motivation and real-world transfer.
Cultural Connection: Connect coordinate navigation to traditional Polynesian wayfinding — stars as coordinate systems, waka routes as vectors, mauri/kaitiakitanga of animal species at the zoo.