Lesson 2: Measuring Distances with Map Scale
Using the map scale to calculate real distances between Hamilton Zoo enclosures — connecting measurement on paper to actual walking distances.
🎯 Ngā Whāinga Akoranga | Learning Intentions
How a map scale works (e.g., 1cm = 20m); how to measure distances on a map using a ruler; how to convert map measurements to real-world distances.
Measure and calculate five real distances between zoo enclosures using the map scale; create a simple distance table.
🎥 Media Anchor & Mathematical Scaffold
Map Scale and Real-World Distances
Video: kaiako to select — guidance below.
🎬 Kaiako: Select and embed a video here
Suggested search: "Map Scale and Real-World Distances"
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
The map is much smaller than the real zoo. If 1cm on the map equals 20 metres in real life, and the entrance to the café is 3cm apart on the map — how far would you really walk?
👁️ 2. During Viewing
- Early in the clip: Measure the distance between two enclosures on your map. Now apply the scale. What is the real distance?
- Midway: Why might you want to know the actual distance between enclosures? Think: tired children, wheelchair access, time management.
- Later in the clip: If the zoo doubled in size, would the scale change? Would the distances on the map change? Explain your reasoning.
🗣️ 3. After Viewing — Kaiako Move
Kaiako Move: Demonstrate measuring map distances with a ruler. Show the calculation: measured distance × scale factor = real distance. Practise with a shared example before students work independently.
Task: Distance Calculator: Measure five inter-enclosure distances on the Hamilton Zoo map. Apply the scale to find real distances. Which walk is longest? Which is shortest?
⚡ Whakaoho | Do Now (5 mins)
Estimate: how far do you think the walk from the zoo entrance to the far end of the zoo is? Write your estimate. Now we'll check it using the map scale.
📐 Activity 1: Guided Mathematical Exploration (25 mins)
Distance survey: measure and calculate actual distances for a planned zoo route. Create a distance table showing map measurement, scale factor, and real distance for each leg of the journey.
✍️ Activity 2: Application & Reflection (20 mins)
Route optimisation: given that a family can only walk 500m before needing a rest stop, plan a route that maximises animals seen while keeping each leg under 150m.
🏫 Kaiako Planning & Pedagogy Notes
Curriculum Alignment: Te Mataiaho Mathematics Phase 3 — Measurement: use scale to calculate real-world distances; connect linear measurement to practical contexts.
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.