AC9M4ST01 • Year 4 Maths
acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been created
A data display should preserve the collected values and make the purpose easier to answer. In a many-to-one pictograph, one symbol represents several observations, so partial symbols and keys must be interpreted carefully.
Learning routine: Define question → Identify variable → Collect accurately → Organise digitally → Choose display/key/scale → Interpret → Discuss limitations
With ● = 2 students, 5 students require two full symbols and one half symbol. The key is part of the data and cannot be ignored.
Column heights use the actual frequencies. Select a scale that shows all values clearly and label title, axes/categories and units or frequency.
Transfer the relationship to the new situation and justify the result using precise vocabulary and evidence.
Learning intention: Collect categorical and whole-number data digitally, represent it faithfully and explain what it shows.
Year 4 boundary: Use counts, categories, clear scales, informal shape and variation. Formal averages, median calculations and causal claims are not required.
Enter invented travel data Walk 8, Bus 5, Car 10, Bike 3 into a spreadsheet. Make a column graph starting at 0 with equal intervals, then a pictograph with one symbol for 2. Walk needs 4 symbols, Bus 2½, Car 5 and Bike 1½. Both displays total 26. Compare the exact counts with the table before discussing the largest category.
With one symbol for 4 seedlings, two full symbols and a half represent 4+4+2=10 seedlings. The half is half the key value, not half a seedling. Ask: how would 14 seedlings look? Answer:3½ symbols. Inspect the actual drawing and key.
Observe a safe seed-growing experiment at one stated time and record sprouted seeds by tray, including the number planted. Invented example: trayA4, B8, C10, D6 sprouted seeds. A graph shows that C has 6 more sprouted seeds than A at this observation. It does not by itself show the cause or establish that all seeds in C will grow better. Students collect their own real observations and create a digital graph.
With a teacher, agree a neutral question such as “Which class reading theme would you choose?” Give clear options and one response per student. Use a school-approved online poll without names. Explore available AI-assisted word-cloud, quiz or graph output and compare it with the raw counts. Invented counts Animals 6, Space 4, Sport 2 total 12; a graph showing Space 6 needs correction. A word cloud may suggest the largest category, but exact counts require a table or key. Record whether AI assistance was actually available.
Spin a three-colour paper spinner 18 times, tallying each result once; enter the frequencies into a digital table and graph them. Invented example Red 8, Blue 6, Yellow 4 totals 18, with Red 4 more than Yellow. A new sample can differ. Alternatively count a discrete numerical variable such as books borrowed per student, retaining individual counts and zero values.
With an adult, use published records from a named First Nations Ranger organisation or official agency. Record the source, place, period and whether values mean burn events or area burned. Select comparable records and construct a labelled digital display. As a calculation rehearsal only, invented event counts AreaA3, AreaB5, AreaC2 total 10 and B has 2 more than A; these are not observations from a Ranger site. The actual task requires real sourced values. Counts alone do not identify a suitable burn plan: timing, ecological effects and local Ranger knowledge matter. Follow source permissions and local protocols.
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.
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.
Given counts A6, B4, C2, make a labelled display and explain the total and one difference. Answer: total 12; A has 2 more than B. Check the scale/key, then check each count against the table.
Show your own required collected data and digital display, state one accurate numerical finding and one limit. An adult checks the actual work and source records; a completion tick alone is insufficient.
The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning.
Use reliable, community-approved sources and identify the specific Nation, People or community where the source does. Do not present diverse First Nations knowledges as one generic tradition. Follow local cultural and intellectual property protocols before reproducing cultural material or inviting community participation.
Collect a class categorical variable, enter responses in a spreadsheet and use formulas or sorting to check frequencies.
Choose a many-to-one key that represents all frequencies clearly, then decide how partial symbols will be shown.
Use a display to write comparison, total and difference statements, then identify one question the data cannot answer.
Core idea: A data display should preserve the collected values and make the purpose easier to answer. In a many-to-one pictograph, one symbol represents several observations, so partial symbols and keys must be interpreted carefully.
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.
Teacher resource
Open this fixed classroom slide deck to introduce the key idea, vocabulary and teaching sequence before students begin the activities.
Open Classroom ViewThis 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.
| Region | Curriculum | Closest mapping |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M4ST01 — acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been created |
| Victoria | Victorian Curriculum F-10 | Year 4 Maths: closest match in Statistics. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 2 Maths: closest content focus for Acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been created and related outcomes. |
| United States | Common Core / NGSS | Grade 4 Common Core Mathematics/ELA closest topic match for Acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been created. |
| England / UK | National Curriculum | Key Stage 2 / Year 4: closest programme-of-study match for Acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been created. |
| Canada | Provincial and territory curricula | Grade 4 closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference. |
| New Zealand | New Zealand Curriculum | Level 2 Maths: closest achievement-objective topic for Acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been created. |
| India | NCERT / CBSE | Class 4 closest NCERT/CBSE topic match for Acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been created. |
The SkillrHub lesson remains the primary learning resource. This optional video reinforces the explanation; you can complete the lesson and practice without watching.
Before you watch:
Math Antics — See how data can be organised in a graph.
As you watch: How do labels and the scale help you read a graph accurately?
Load video player Loads YouTube in this lesson. See the video notice below.
Try it: Collect ten responses to a favourite-fruit question and make a labelled column graph.
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Mapped skill: acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been created
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.
| Region | Curriculum framework | Closest level or code |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M4ST01 · Year 4 |
| Victoria | Victorian Curriculum F–10 Version 2.0 — Mathematics | VC2M4ST01 · Level 4 |
| New South Wales | NSW Mathematics K–10 Syllabus (2022) | MA2-DATA-01 + MA2-DATA-02 · Stage 2 |
| United States (USA) | Common Core State Standards for Mathematics | Grade 4 |
| Canada (Ontario) | Ontario Curriculum — Mathematics | Grade 4 |
| United Kingdom (England) | National Curriculum in England — Mathematics | Year 5, Key Stage 2 |
| India | NCERT / CBSE — Mathematics | Class 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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Topic reference: AC9M4ST01 — AC9M4ST01: Acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been created
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