Week 1: Introduction to Statistical Investigations

Week 1: Introduction to Statistical Investigations

He Tātari Raraunga - Data Detective

Duration: 3 lessons (50 minutes each) | Year Level: 8

šŸŽÆ Big Question

How do we use data to make decisions in Aotearoa?

Learning Objectives

šŸ“Š Lesson 1.1: Māori Data Sovereignty & Introduction

Focus: Understanding how data is used in te ao Māori and why it matters

Starter Activity (10 minutes)

Pōwhiri Data: Students share one piece of data about themselves (e.g., number of siblings, favourite subject) while standing in a circle. Teacher records responses on the board.

Whakatōhea: "What stories do these numbers tell us about our class?"

Main Activity: Māori Data Sovereignty (25 minutes)

Watch: "Data and Indigenous Communities" (5-minute video introduction)

Discussion Questions:

  • Why might Māori iwi want to collect their own data about their communities?
  • What kinds of data would be important for whānau and hapÅ«?
  • How is collecting data different from sharing personal stories?
Real Example: Te Kōhanga Reo Data

Te Kōhanga Reo movement tracks enrolment, language outcomes, and cultural engagement to demonstrate the success of Māori-medium education. This data helps secure funding and support.

Plenary (15 minutes)

Students complete a Data Types Sorting Activity:

Data Example Categorical or Numerical? Why?
Favourite kai (food) Categorical Can't be measured numerically
Height in centimeters Numerical Can be measured and counted
Number of people in whānau Numerical Counted as whole numbers
Iwi affiliation Categorical Names/categories, not numbers

šŸ” Lesson 1.2: Hands-on Data Hunt

Focus: Collecting real class data and understanding variables

Starter (10 minutes)

Data Detectives Warm-up: Students look around the classroom and identify 5 pieces of data they could collect (e.g., number of windows, types of stationery, hair colours).

Main Activity: Class Data Collection (30 minutes)

Students work in pairs to collect data on three topics:

1. Favourite Sports Activity

Question: "What's your favourite way to be active?"

Options: Rugby, Netball, Swimming, Cycling, Kapa Haka, Other

Data Type: Categorical

2. Whānau Size

Question: "How many people live in your household?"

Range: 1-10+ people

Data Type: Numerical (discrete)

3. Travel Time to School

Question: "How long does it take you to get to school?"

Categories: 0-10 mins, 11-20 mins, 21-30 mins, 30+ mins

Data Type: Numerical (continuous - grouped)

Collection Method: Students create simple tally sheets and survey their classmates respectfully.

Data Organisation (10 minutes)

Pairs compile their data into class totals using a shared Google Sheet template.

Template includes: Student names (optional), responses for each question, totals and percentages.

šŸ“ˆ Lesson 1.3: Graphing Practice

Focus: Creating visual representations using digital tools

Starter (10 minutes)

"Graph Gallery Walk": Display examples of bar graphs, pie charts, and dot plots. Students vote on which graph type best shows each data set.

Main Activity: Digital Graphing (25 minutes)

Using Google Sheets: Students create three different graphs from their collected class data.

  1. Bar Graph: Favourite sports activities
  2. Pie Chart: Travel time to school (grouped)
  3. Histogram: Whānau size distribution

Success Criteria:

  • Graph has a clear title
  • Axes are labelled correctly
  • Data is accurately represented
  • Graph type matches the data type

Reflection & Sharing (15 minutes)

Pair-Share: Students explain to a partner which graph tells the "best story" about their class data and why.

Class Discussion:

  • What surprised you about our class data?
  • Which graph was easiest/hardest to create? Why?
  • How might this data be useful for our school or community?

šŸ“‹ Week 1 Assessment: Data Types Quiz

Assessment Method: Quick online quiz (10 questions, 15 minutes)

Sample Questions:

  1. A survey asks "What's your favourite colour?" This produces _________ data.
    a) Numerical b) Categorical c) Both d) Neither
  2. Counting the number of books on a shelf produces _________ data.
    a) Numerical b) Categorical c) Both d) Neither
  3. True/False: A pie chart is the best way to show how tall different students are.
  4. Give one example of categorical data you might collect about your whānau.
  5. Explain why Māori communities might want to collect their own data instead of relying on government statistics.

Success Criteria:

  • Achieved: 6-7 correct answers, clear understanding of data types
  • Merit: 8-9 correct answers, good explanations of Māori data concepts
  • Excellence: 10 correct answers, sophisticated understanding of cultural data contexts

šŸ› ļø Digital Tools Required

  • Google Sheets (class template provided)
  • Chromebooks/devices for each pair
  • Online quiz platform (Google Forms)
  • Video: "Data and Indigenous Communities"

šŸ“š Extension Activities

  • Advanced: Research a real Māori data project (e.g., Te Kupenga survey)
  • Creative: Design infographic about class data using Canva
  • Community: Interview whānau member about data in their workplace

šŸ  Whānau Connection

  • Students share one interesting finding from class data collection
  • Discuss: "What data does our whānau/household collect?" (budgets, photos, etc.)
  • Optional: Collect simple data at home (TV watching time, favourite meals)

šŸ“– Curriculum Connections

  • Te Reo Māori: Data vocabulary (raraunga, tatauranga)
  • Social Studies: Demographics and community research
  • Digital Technologies: Spreadsheet skills, data visualisation
  • English: Explaining findings, persuasive writing

"Kia kaha ki te kimi raraunga!"

Be strong in seeking data!

šŸ“‹ Teacher Planning Snapshot

Ngā Whāinga Ako — Learning Intentions

Students will develop statistical investigation skills — tÅ«huratanga raraunga — through authentic data contexts drawn from Aotearoa New Zealand. Using real datasets about Māori communities, sport, environment, and society, students will learn to question, collect, analyse, and communicate statistical findings with cultural awareness and critical thinking.

Ngā Paearu AngitÅ« — Success Criteria

  • āœ… I can pose a statistical question, collect appropriate data, and display it using suitable graphs.
  • āœ… I can calculate and interpret measures of centre (mean, median, mode) and spread.
  • āœ… I can critically evaluate statistical claims and identify bias or misleading representations.

Differentiation & Inclusion

Scaffold support: Provide pre-structured investigation templates and graph frameworks for entry-level learners. Offer extension tasks requiring students to conduct an independent investigation on a topic of their choice, including a written analysis and critical evaluation of their own statistical process.

ELL / ESOL: Pre-teach statistics vocabulary (mean, median, mode, range, sample, population). Use visual data displays and real-world datasets students can connect to personally. Allow oral explanation of statistical reasoning before written tasks.

Inclusion: Offer calculator and digital tools access to all learners. Neurodiverse learners benefit from structured inquiry cycles, visual data displays, and real-world data that provides motivating authentic context. Ensure graph-reading activities include both visual and tabular formats.

Mātauranga Māori lens: Connect tÅ«huratanga (statistical inquiry) to traditional Māori practices of observation, pattern recognition, and knowledge-making through careful attention to the natural and social world. Use datasets about Māori communities, land, or environmental trends — with attention to the ethics of data sovereignty (who owns data about Māori communities and how should it be used). The maramataka itself is a sophisticated data system encoding centuries of ecological observation.

Prior knowledge: Best used after foundational number and measurement skills. Builds on Year 7 statistics exposure.

Curriculum alignment