Best for
Years 6-10 statistics inquiries where students need a real planning frame before collecting data or drawing a graph.
Pāngarau / Mathematics • Statistics inquiry • Years 6-10
Statistical Investigation Planner
Good investigations do not begin with random data collection. They begin with a useful question, a clear variable, a sensible sample, and a graph choice that fits the evidence. This planner gives students the full structure.
Free inquiry scaffold, premium unit-builder path
This planner can run tomorrow. If you need a full inquiry unit, subject-specific data questions, or assessment-ready rubrics, Te Wānanga and Creation Studio can extend it into a stronger sequence.
- Generate subject-specific versions for science, social studies, or health contexts.
- Build differentiated question banks and sample plans.
- Save the adapted inquiry sequence in My Kete.
Kaiako planning snapshot
- Use length: 45-60 minutes for planning only, or start an inquiry sequence.
- Grouping: Independent planning with kaiako conferencing, or pairs sharing a question.
- Prep: Decide whether students will collect fresh data today or only plan the investigation.
- Teaching move: Keep steering students toward respectful, answerable questions with a clearly identified variable.
Resources already provided
- Question-quality checklist
- Sample and variable planner
- Blank data table
- Graph choice and conclusion scaffold
- Teacher-only curriculum companion
Students can move from planning into data collection using this same page.
Ngā Whāinga Akoranga / Learning Intentions
- We are learning how to form a useful statistical question.
- We are learning how to plan data collection and choose an appropriate sample.
- We are learning how to choose a graph and write a conclusion that matches the evidence.
Paearu Angitu / Success Criteria
- I can identify my question, group, and variable clearly.
- I can collect or organise data in a way that matches the question.
- I can choose a suitable display and summarise what the data shows.
Curriculum integration / Te Mātaiaho alignment
This planner supports the statistics practices of planning data collection, choosing an appropriate display, and responding to a statistical question with evidence in context.
Why this matters in Aotearoa
Students often investigate questions about school life, local taiao, sport, transport, or wellbeing. Strong inquiry means making sure the question is respectful, the sample makes sense, and the conclusion does not reach beyond what the data can support.
Good statistical inquiry is also a form of manaakitanga. It protects people from careless questions and helps ākonga see that evidence gathering carries responsibility.
The inquiry cycle
- Ask a statistical question that can be answered with data.
- Identify the group and the variable you will study.
- Plan how you will gather a fair sample or full class dataset.
- Collect and organise the data clearly.
- Choose a display that matches the data type.
- Write a conclusion in context using evidence.
Test your question
- My question can be answered with data, not opinion alone.
- I know who or what my data comes from.
- I know the variable I am collecting.
- The question is respectful and safe for a class or school setting.
- The question is narrow enough to answer with the time and tools I have.
Plan your investigation
| Planning item | My answer |
|---|---|
| My statistical question | |
| The group I am studying | |
| The variable I will measure or classify | |
| My sample or full dataset plan |
Collect and organise your data
| Category or value | Frequency / result |
|---|---|
Choose your display and scale
My chosen graph type
Why this graph fits the data
Conclusion sentence frame
Use this frame if needed: “The data suggests that __________ because __________. I can see this in the graph/table because __________. One limitation of this investigation is __________.”
Support
Provide a question bank and let students choose a safe, manageable question rather than inventing one from scratch.
Core
Students complete the planner independently and justify their graph choice in a full sentence.
Stretch
Ask students to consider how a larger or more random sample might strengthen the investigation.
Neurodiversity and inclusion note
Offer sentence frames, a question bank, and verbal conferencing before students commit to a written plan. For some learners, clarifying the question aloud is the crucial step.
Kaiako reminder
Shut down invasive or sensitive class questions early. The planner is designed to build evidence literacy, not permission for careless data collection.
Hononga Marautanga · Curriculum Alignment
Social Sciences — Tikanga ā-Iwi
Level 3–4: Investigate social, cultural, environmental, and economic questions; gather and evaluate evidence from diverse sources; communicate findings and reasoning clearly for different audiences and purposes.
English — Communication
Level 3–4: Read, interpret, and evaluate information texts; write clearly and purposefully for specific audiences; apply critical thinking skills to evaluate sources and construct well-reasoned responses.
Aronga Mātauranga Māori
This resource sits within a kaupapa that recognises mātauranga Māori as a living knowledge system with its own frameworks, values, and ways of understanding the world. The New Zealand Curriculum calls for learning that reflects the bicultural partnership of Te Tiriti o Waitangi, which means every subject area has an obligation to engage authentically with Māori perspectives — not as cultural decoration but as substantive contributions to how we understand our topics. The concepts of manaakitanga (care for others), kaitiakitanga (guardianship), whanaungatanga (relationship and belonging), and tino rangatiratanga (self-determination) provide a values framework applicable across all learning areas, and all are relevant to the work in this handout.
Ngā Rauemi Tautoko · Support Materials
This handout is designed to be used alongside the broader unit resources available at Te Kete Ako handouts library. Related resources from the same unit are linked in the unit planner. All resources are provided — no additional preparation is required to use this handout in your classroom.
📋 Teacher Planning Snapshot
Ngā Whāinga Ako — Learning Intentions
Students will engage with this resource to build pāngarau (mathematical) understanding — developing number sense, pattern recognition, and mathematical reasoning through hands-on, culturally grounded activities that connect to tamariki's world.
Ngā Paearu Angitū — Success Criteria
- ✅ Students can explain their mathematical thinking using words, objects, drawings, or symbols.
- ✅ Students can apply the number or pattern concept in this resource to a real or everyday context.
Differentiation & Inclusion
Scaffold support: Use concrete materials (blocks, counters, fingers) for entry-level engagement before progressing to abstract representations. Offer extension challenges asking students to generalise a pattern, write their own word problem, or explain their strategy to a partner.
ELL / ESOL: Mathematical language is a discipline-specific barrier — pre-teach key terms (e.g., equals, more than, fewer, pattern, factor) using visual representations. Allow students to demonstrate mathematical understanding non-verbally or through drawing. Pair with a bilingual buddy where possible.
Inclusion: Embed choice in how students engage — oral, written, or diagrammatic responses are all valid. Neurodiverse learners benefit from short, chunked task sequences with immediate feedback loops. Avoid timed drills in favour of exploratory tasks that reward curiosity. Make the maths classroom a safe place to be wrong and try again.
Mātauranga Māori lens: Pāngarau is a living tradition in Te Ao Māori — from the geometric precision of tukutuku and kōwhaiwhai patterns to the navigational mathematics of waka hourua, and the seasonal calculations embedded in maramataka. Framing early number sense within these contexts shows tamariki that mathematics is a human, culturally rich endeavour — not a foreign import. Encourage students to see counting, measuring, and patterning as acts of knowing their world.
Prior knowledge: Designed for early learners. No prior formal mathematics knowledge required. Teachers should assess current number knowledge before selecting appropriate entry points.
Curriculum alignment
- Number and Algebra — Number Strategies: Use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractions.
- Number and Algebra — Patterns and Relationships: Generalise that the next counting number gives the result of adding one object to a set and that counting the number of objects in a set tells how many.