AC9M4ST03 • Year 4 Maths

AC9M4ST03: Conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results

conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results

What students learn in AC9M4ST03

A statistical investigation is a connected process. The question determines the data needed, the method affects data quality and conclusions must be supported by the collected evidence and limited to the population studied.

Learning routine: Pose question → Plan population/method → Collect ethically → Clean and organise → Display → Interpret → Communicate → Reflect

Success looks like

  • Pose statistical questions
  • Plan ethical collection
  • Use digital recording
  • Interpret evidence
  • Communicate and reflect
Key vocabulary
statistical investigation
question, collection, representation, interpretation and conclusion
question of interest
the focused question guiding data collection
conclusion
a statement supported by collected data
Concept models and worked thinking

Plan an investigation from question to conclusion

1question
2sample/method
3collect
4clean
5display
6interpret
7communicate
8reflect

A strong plan defines who or what will be observed, how responses will be recorded once, and how the display will answer the original question.

  1. Identify the labels, quantities or evidence shown.
  2. Explain the relationship represented by the model.
  3. Check that the conclusion answers the original question.

Communicate a result with evidence and limitations

Report elementExamplefinding12 of 28 students chose walkingcomparison5 more than buslimitationone Year 4 class onlynext steprepeat across other classes

Avoid claiming the result represents all students unless the collection method supports that conclusion. Include exact evidence and a limitation.

Transfer the relationship to the new situation and justify the result using precise vocabulary and evidence.

Worked elaborations and complete investigation evidence

Learning intention: Carry out a question-to-report investigation using genuine records and digital displays.

Year 4 boundary: Use counts, categories, clear scales, informal shape and variation. Formal averages, median calculations and causal claims are not required.

Elaboration 1: A complete class movie survey

Ask “Which of these movie genres would you choose?” with one response each and clear categories. Record anonymous responses digitally and check the total. Invented example Comedy 8, Adventure 6, Animation 6 totals 20. Make a column graph and report: Comedy has the largest count,2 more than either other genre. Do not say most of the class chose Comedy:8 is less than half of 20. Communicate the graph to the class, explain the method and acknowledge that this is one group at one time. Students must conduct their own survey and present actual results.

Elaboration 2: Retrieve and compare real online records

With an adult, choose a question such as comparing rainfall in two places for the same month. Retrieve official records using the place/date selection, retaining source, period, variable and units. Use another suitable online source and check whether definitions match. Enter comparable records digitally, graph and report a numerical comparison. Missing rainfall is not zero. Invented rehearsal values PlaceA30 mm and PlaceB45 mm differ by 15 mm; they are not retrieved weather observations. Actual investigation work must include the real records and sources, or remain pending if unavailable.

Elaboration 3: Investigate a cereal shelf-position claim

To explore whether higher-sugar cereals occur at children’s eye level, define a height band and what counts as higher sugar before collection. Record each inspected product or position, shelf band and sugar per 100 g, using a consistent counting rule for duplicate positions. Use adult-provided photographs or permission-based observation with readable labels. Invented rehearsal: of 6 inspected positions,3 of 4 in the height band and 1 of 2 outside meet an agreed sugar threshold. This describes those positions only; it does not establish intent or a result for every shop. Create a digital table/display and report the definitions, observed counts and limitations.

Invented classroom data for a worked comparison. Banana 10 minus Pear 4 is 6; total 28.

Support, core and extend

Support: Organise a small dataset together and check each entry once. Core: Create and interpret the required digital display. Extend: Compare representations and explain a limitation using the same Year 4 ideas.

Important questions and answers

Does the largest category always mean more than half? No: a largest count of 8 in 20 is less than half. Does a graph establish why something happened? No: it shows recorded patterns unless additional evidence supports a cause.

Assessment-style check and review hints

A one-choice survey records Adventure 7, Comedy 5, Animation 3; one of the five Comedy entries is an accidental duplicate. Correct the digital table, state the total and report one finding with a limitation. Answer: 7, 4, 3 total 14 genuine responses; Adventure has 3 more than Comedy. Describe only these respondents and explain the corrected duplicate. Check the raw record before deleting an entry.

Exit ticket and mastery evidence

Show your investigation question, method, actual records and digital display. Communicate two numerical findings and a limitation to another person, then record their question and your answer. An adult checks all stages against the source records; a completion tick alone is insufficient.

Curriculum coverage and elaborations

The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning.

  • Content description: conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results
  • E1: creating a survey to collect class responses to a preferred movie choice, and recording data responses using spreadsheets; graphing data using a column graph or other appropriate representations and interpreting the results of the survey reporting findings back to the class
  • E2: conducting a statistical investigation and acquiring data from different online sources; for example, using online query interfaces to select and retrieve data from an online database such as weather records, Google Trends or the World Health Organization
  • E3: investigating different contexts in which statistical investigations can take place and the types of questions to ask to collect data relevant to the context; for example, investigating supermarket customer complaints that breakfast cereals with the most sugar are positioned at children’s eye level, discussing what questions they would need to ask and answer
Guided learning activities

1. Question quality test

Revise vague, leading or double questions into clear statistical questions.

Do you like healthy tasty lunches?Which lunch option do you choose most often?On how many days last week did you choose that lunch option?

2. Digital data cleaning

Find duplicate entries, inconsistent spellings and missing values in a spreadsheet before graphing.

rawcleanBus / busBuswalk Walkduplicate IDremove/check

3. Evidence report

Create a one-page result with title, display, two evidence statements, limitation and next question.

display→finding→comparison→limitation→next question
Revision Notes

Core idea: A statistical investigation is a connected process. The question determines the data needed, the method affects data quality and conclusions must be supported by the collected evidence and limited to the population studied.

Remember

  • Pose statistical questions
  • Plan ethical collection
  • Use digital recording
  • Interpret evidence
  • Communicate and reflect

Important questions

  • Improve a leading question. Explain using the model or evidence above.
  • Why define the sample? Explain using the model or evidence above.
  • Name two data-cleaning checks. Explain using the model or evidence above.
  • Write an evidence conclusion. Explain using the model or evidence above.
  • State a limitation. Explain using the model or evidence above.
How to use this unit

Read the topic guide and use the teacher slide for instruction. Students can then use the worksheet for written work, open Practice for supported feedback, or take the Test when they are ready.

AC9M4ST03 teacher slide

Teacher resource

Open this fixed classroom slide deck to introduce the key idea, vocabulary and teaching sequence before students begin the activities.

Open Classroom View
Common misconceptions
  • Leading survey question — Wording should not push respondents toward an answer.
  • Duplicate or inconsistent entries — Clean data before calculating frequencies.
  • Conclusion exceeds sample — State who was surveyed and limit the claim.
  • Display chosen after writing conclusion — Let the question and data determine the display.
International curriculum mapping

This table gives closest-topic mapping for search and planning. The Australian Curriculum code is exact; overseas entries are broad equivalents because each jurisdiction structures outcomes differently.

RegionCurriculumClosest mapping
AustraliaAustralian Curriculum v9.0AC9M4ST03 — conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results
VictoriaVictorian Curriculum F-10Year 4 Maths: closest match in Statistics. Use this page as a VIC-aligned practice and worksheet reference.
NSWNSW CurriculumStage 2 Maths: closest content focus for Conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results and related outcomes.
United StatesCommon Core / NGSSGrade 4 Common Core Mathematics/ELA closest topic match for Conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results.
England / UKNational CurriculumKey Stage 2 / Year 4: closest programme-of-study match for Conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results.
CanadaProvincial and territory curriculaGrade 4 closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference.
New ZealandNew Zealand CurriculumLevel 2 Maths: closest achievement-objective topic for Conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results.
IndiaNCERT / CBSEClass 4 closest NCERT/CBSE topic match for Conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results.
🎥 Optional Video Lesson

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  • Try the examples yourself.
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Recommended: Math Antics - Data And Graphs

Math Antics — Plan how to display and explain the results of a survey.

As you watch: What do you need to know about the data before choosing a graph?

Load video player Loads YouTube in this lesson. See the video notice below.

Try it: Ask a question with countable responses, collect a small dataset, and write one conclusion that your display supports.

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Curriculum equivalents: Victoria, NSW and international

Curriculum equivalents for Conduct statistical investigations, collecting data through survey responses and other...

Mapped skill: conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results

These references identify matching or closely related learning. Curriculum sequence, terminology and depth vary, so teachers should use the mapped skill and lesson difficulty to confirm suitability.

RegionCurriculum frameworkClosest level or code
AustraliaAustralian Curriculum v9.0AC9M4ST03 · Year 4
VictoriaVictorian Curriculum F–10 Version 2.0 — MathematicsVC2M4ST03 · Level 4
New South WalesNSW Mathematics K–10 Syllabus (2022)MA2-DATA-01 + MA2-DATA-02 · Stage 2
United States (USA)Common Core State Standards for MathematicsGrade 4
Canada (Ontario)Ontario Curriculum — MathematicsGrade 4
United Kingdom (England)National Curriculum in England — MathematicsYear 5, Key Stage 2
IndiaNCERT / CBSE — MathematicsClass 4

Australian Curriculum v9.0 is the canonical source for this SkillrHub lesson. Victoria and NSW entries name the closest published state codes or outcomes; international entries are planning references rather than claims of identical curricula.

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Official curriculum references
Related Year 4 Maths topics