Unit 60: Mathematics in Aotearoa
Housing, Sustainability, and Data
This unit is designed for the new NCEA Level 1 Mathematics and Statistics supervision. It focuses on AS 91945 (1.2): "Use mathematical methods to explore problems that relate to life in Aotearoa New Zealand".
Whakatūwhera - Unit Opening
We face a housing crisis and a climate crisis. How can mathematics help us understand these problems and design solutions? By analyzing data on housing affordability and using geometry to design efficient, sustainable "tiny homes", students see math as a tool for social and environmental justice.
Part 1: The Numbers Behind the Housing Crisis
Learning Focus
Using statistical inquiry to understand trends in house prices, rent, and inflation over the last 20 years. Students will analyze multivariate data to tell a story about equity in Aotearoa.
Key Methods
- Time Series Data: Plotting trends over time.
- Percentages & Ratios: Comparing income vs housing costs.
- Interpretation: What does "median" mean in this context?
Core Activities
- Lesson 1: Data Detective - Exploring the Stats NZ dataset.
Part 2: Tiny Home Geometry
Learning Focus
Applying measurement and geometric reasoning to design a sustainable "Tiny Home" or "Whare Iti". Maximizing space and minimizing waste.
Key Methods
- Area & Perimeter: Optimizing floor plans.
- Volume: Calculating air flow and materials.
- Scale Drawings: Creating accurate plans (1:50).
Core Activities
- Lesson 2: Whare Iti Design - The geometry of optimization.
Part 3: Community & Culture
Learning Focus
Exploring data related to Te Reo Māori speakers, iwi demographics, and community wellbeing.
Core Activities
- Lesson 3: Our People, Our Numbers - Demographic analysis.