AC9M3ST02: Create and compare different graphical representations of data sets including using software where appropriate; interpret the data in terms of the context

The same data can be represented in tables, picture graphs or column graphs. Good displays preserve the data and make the question easier to answer.

Learning routine: Check data → Choose display → Label axes/key → Plot accurately → Compare → Interpret

Success looks like

• Create graphs
• Use labels and scale
• Compare displays
• Use software appropriately
• Interpret in context

Success criteria:

• Create graphs
• Use labels and scale
• Compare displays
• Use software appropriately
• Interpret in context

Students should be able to sort information into categories, read simple tables or displays and compare counts. Revisit what each label, category and scale represents before analysing a data display.

Key idea: The same data can be represented in tables, picture graphs or column graphs. Good displays preserve the data and make the question easier to answer.

Learning routine: Check data → Choose display → Label axes/key → Plot accurately → Compare → Interpret

data display

a visual representation of collected information

scale

the values marked along a graph axis

interpret

use a display to explain what the data shows

What is the big idea in this topic?

The same data can be represented in tables, picture graphs or column graphs. Good displays preserve the data and make the question easier to answer.

What routine should I use?

Check data → Choose display → Label axes/key → Plot accurately → Compare → Interpret

How do I know I am ready to move on?

You can create graphs, use labels and scale, compare displays, use software appropriately, interpret in context and explain how your model or calculation supports the answer.

• Graph changes the data — Every value must match the source.
• No title or labels — Readers need context and scale.
• Unequal spacing or scale — Use consistent intervals.

1. What must remain the same when data moves from a table to a graph?

   • category frequencies
   • background colour
   • font size
   • page orientation

2. Complete the comparison.

   Prompt: If Bus = 6 and Walk = 4, Bus has □ more responses.

3. Which display usually makes bar heights easy to compare?

   • column graph
   • calendar
   • clock
   • number line

4. Explain why a graph needs a title and labelled categories.

5. Match the display to its strength.

   Match: frequency table • picture graph • column graph ↔ visual symbols • exact listed values • quick height comparison

6. Complete the interpretation.

   Prompt: The tallest bar represents the □ frequency.

1. Represent one data set in two ways and compare which is clearer for two different questions.

2. Design a deliberately misleading graph, then explain and correct every misleading feature.

Explain the reasoning, not only the final answer.

1. Describe a column graph for values 3, 7, 5 and 2, including a suitable scale.

2. A graph shows 9 for a category whose table value is 6. Explain the error.

Review hint: Follow the routine “Check data → Choose display → Label axes/key → Plot accurately → Compare → Interpret” and use the worked model to check whether your answer is reasonable.

• I can create graphs.
• I can use labels and scale.
• I can compare displays.
• I can use software appropriately.
• I can interpret in context.

Quick check: What must stay the same across displays? • Why label an axis? • Which graph shows comparisons quickly?

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.

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

• Content description: create and compare different graphical representations of data sets including using software where appropriate; interpret the data in terms of the context
• E1: comparing various student-generated data representations and describing their similarities and differences
• E2: using digital tools, including generative artificial intelligence tools or graphing software, to construct graphs of data acquired through experiments or observation and interpreting the data and making inferences; for example, graphing data from a science experiment and interpreting the results
• E3: selecting appropriate formats or layout styles to present data as information, depending on the type of data and the audience; for example, lists, tables, graphs and infographics
• E4: using newspapers or magazines to find examples of different displays of data, interpreting and describing the information they present

Australian, Victorian and NSW alignment retained from the previous page

• Australian Curriculum Version 9.0 — ACARA
• Victorian Curriculum — VCAA
• NSW Curriculum — NESA

Official curriculum sites are the source of record.

• AC9M3ST01 — Collecting and Recording Data
• AC9M3ST03 — Guided Statistical Investigations
• All Year 3 Mathematics topics

Curriculum equivalents for And compare different graphical representations of data sets including using...

Mapped skill: create and compare different graphical representations of data sets including using software where appropriate; interpret the data in terms of the context

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.

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.