Numeracy pitch · Lesson 3: Cultural Statistics: Demographics

Statistics help us understand who we are as a nation. The Census is like a mirror held up to Aotearoa every 5 years. What does it show us about our...

Our People, Our Numbers

Numeracy pitch · Lesson 3

Numeracy pitch: describe the population

Ākonga calculate demographic measures and describe what the numbers show.

  • Numeracy move: Measures computed and described
  • Evidence it produces: An accurate description of what the statistics say
Same topic at the other level: Years 9–10 justice pitch →

Before you plan from this: the lesson body below is currently near-identical to the other route's. This panel describes the intended difference, which is not authored yet — so choose either route on topic and year band, not on this pitch. Both routes are kept and will be differentiated; neither is being retired.

Lesson 3 of 3

Our People, Our Numbers

Demographics and identity in data

Ako | Learning Intentions

  • Know: How to interpret census data tables and graphs.
  • Do: Analyse trends in Te Reo Māori speakers over the last 3 censuses.
  • Understand: That data can tell powerful stories about cultural survival and growth.

He Kōrero Tīmatanga - Introduction

Statistics help us understand who we are as a nation. The Census is like a mirror held up to Aotearoa every 5 years. What does it show us about our culture?

Discussion Starter

"Is Aotearoa getting younger or older? Is it getting more diverse?"

Predict: What percentage of people speak Te Reo Māori today vs 2013?

Part 1: Census Data Dive

We will examine the age-structure of the Māori population vs the European population.

📊 Population Pyramids

Compare two shapes:

  • Māori Population: Wide base (Young population). Median age ~27.
  • European Population: Narrow base (Aging population). Median age ~41.

Question: What does this mean for the future workforce? For schools? For healthcare?

Part 2: Te Reo Māori Revitalization

Analyse the data on Te Reo speakers.

Year Percentage Speakers
2013 3.7%
2018 4.0%
2023 7.1% (Estimated)

Task: Calculate the percentage increase between 2013 and 2023.

Caution: Be careful with "percentage points" vs "percentage growth".

Assessment Preparation (AS 91945)

For your assessment, you will choose one dataset (Housing, Sustainability, or Culture) and produce a report.

Your report must include:

  1. Problem Statement: What are you investigating?
  2. Method: What calculations or graphs did you use?
  3. Findings: What did the numbers show?
  4. Conclusion: What does this mean for Aotearoa?

🎬 Media Anchor

Use this clip to strengthen evidence handling and communication before writing your statistical report.

  • Pause and discuss: What makes a data claim trustworthy and well-supported?
  • Transfer task: Add one source-quality check to your assessment plan.

Kaiako Notes

Use this lesson to tackle misconceptions about statistics. Show how data can be manipulated, and the importance of looking at the source.

📋 Teacher Planning Snapshot

Ngā Whāinga Ako — Learning Intentions

Students apply mathematical skills (statistics, geometry, data analysis) to real Aotearoa housing and sustainability contexts — connecting mātauranga Māori principles of kāinga, papakainga, and whanaungatanga to contemporary housing challenges and design.

Ngā Paearu Angitū — Success Criteria

  • ✅ Can collect, display, and interpret data about Aotearoa housing using appropriate statistical representations
  • ✅ Applies geometric reasoning to evaluate sustainable design principles in whare design
  • ✅ Connects mathematical findings to social justice questions about housing equity and Māori land rights

Differentiation & Inclusion

Scaffold support: Provide pre-structured data tables as an entry point for statistical analysis; use visual floor-plan templates for geometry tasks. Extension tasks include calculating comparative housing density statistics or modelling papakainga land-use scenarios.

ELL / ESOL: Pre-teach mathematical vocabulary alongside contextual terms (papakainga, whanaungatanga, toitū); use diagrams and real photographs of Aotearoa housing to ground abstract data.

Inclusion: Offer manipulatives and digital tools alongside written tasks; neurodiverse learners benefit from step-by-step data investigation guides and reduced open-ended prompts.

Mātauranga Māori lens: Kāinga and papakainga as living mathematical contexts — whare design embodies geometric knowledge. Whanaungatanga shapes community housing decisions. Kaitiakitanga frames sustainability calculations. Māori land statistics connect tūhuratanga (inquiry) to tino rangatiratanga.

Prior knowledge: Basic statistics (mean, median, graphs); introductory geometry (area, perimeter, scale).

Curriculum alignment

  • Te Mātaiaho (2025) · Mathematics and Statistics · Phase 4 (Years 9–10) · Statistics (Practices): “- Creating multiple data visualisations for an investigation - Selecting appropriate scales for data”
  • NZC (2007) · Mathematics and Statistics · Level 5: “Plan and conduct surveys and experiments using the statistical enquiry cycle: – determining appropriate variables and measures; – considering sources of variation; – gathering and cleaning data; – using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets; – comparing sample distributions visually, using measures of centre, spread, and proportion; – presenting a report of findings.”