AC9M5ST02 • Year 5 Maths

AC9M5ST02: Interpret line graphs representing change over time; discuss the relationships that are represented and conclusions that can be made

interpret line graphs representing change over time; discuss the relationships that are represented and conclusions that can be made

What students learn in AC9M5ST02

Students construct line graphs for ordered data, read interpolation and trends cautiously, and recognise how a broken or truncated vertical scale changes visual impact without changing the data.

A line graph connects values in an ordered variable; its axis scale controls how differences appear and must be read before interpreting trend.

Plot time on the horizontal axis, temperature on the vertical axis and connect points because values are ordered through time.

A discontinuous scale can reveal detail but can also exaggerate differences. Quote numerical change and inspect axis intervals.

Learning routine: Represent → Reason → Calculate → Interpret → Verify

Success looks like

  • Construct or represent accurately
  • Use correct vocabulary and notation
  • Interpret relationships
  • Apply to a new example
  • Justify and evaluate
Key vocabulary
line graph
graph connecting data values across an ordered variable
vertical axis
axis displaying the measured response
discontinuous scale
axis with an explicitly omitted interval
Concept models and worked thinking

Construct a temperature-over-time line graph

time (min)05101520temperature (°C)2024313536change+4+7+4+1

Plot time on the horizontal axis, temperature on the vertical axis and connect points because values are ordered through time.

  1. Read every label and identify the quantities, parts or evidence.
  2. Explain the relationship shown—not just the final answer.
  3. Check the conclusion against the original question and units.

Compare full and discontinuous vertical scales

0–100 scalesmall changes look modest
30–40 scale with breaksame changes look dramatic
responsible uselabel break clearly and discuss actual values
conclusionvisual steepness alone is insufficient

A discontinuous scale can reveal detail but can also exaggerate differences. Quote numerical change and inspect axis intervals.

Now transfer the same relationship to a new situation and justify the result with precise vocabulary.

Curriculum coverage and elaborations

Content description: interpret line graphs representing change over time; discuss the relationships that are represented and conclusions that can be made.

  • E1: reading and interpreting different line graphs, discussing how the horizontal axis represents measures of time such as days of the week or times of the day, and the vertical axis represents numerical quantities or ordinal categorical variables such as percentages, money, measurements or ratings such as fire hazard ratings
  • E2: interpreting real-life data represented as a line graph showing how measurements change over a period of time and make simple inferences
  • E3: matching unlabelled line graphs to the context they represent based on the stories of the different contexts
  • E4: interpreting the data represented in a line graph making inferences; for example, reading line graphs that show the varying temperatures or UV rates over a period of a day and discussing when would be the best time to hold an outdoor assembly
  • E5: exploring how line graphs can be used to train AI systems to make predictions by providing historical data and showing trends
Guided learning activities

1. Construct and annotate

Build or represent line graphs and discontinuous scales and label the features, coordinates, data or outcomes.

time (min)05101520temperature (°C)2024313536change+4+7+4+1

2. Compare representations

Use a second representation or method and explain what each makes easier to see.

0–100 scalesmall changes look modest
30–40 scale with breaksame changes look dramatic
responsible uselabel break clearly and discuss actual values
conclusionvisual steepness alone is insufficient

3. Investigate and justify

Apply the concept to a new design, data set or chance situation and verify every condition.

Choose axes.Describe a trend with values.Explain a scale break.Estimate between points cautiously.
Revision Notes

Core idea: A line graph connects values in an ordered variable; its axis scale controls how differences appear and must be read before interpreting trend.

Remember

  • Construct or represent accurately
  • Use correct vocabulary and notation
  • Interpret relationships
  • Apply to a new example
  • Justify and evaluate

Important questions

  • Choose axes. Explain using the model or evidence above.
  • Describe a trend with values. Explain using the model or evidence above.
  • Explain a scale break. Explain using the model or evidence above.
  • Estimate between points cautiously. Explain using the model or evidence above.
  • Limit a conclusion. Explain using the model or evidence above.
How to use this unit

Learn from the Topic Guide and fixed Teacher Slides, complete the Practice Sheet, use Practice for supported feedback, then take the Test when ready.

AC9M5ST02 Teacher Slides

Project the fixed branded slide deck one slide at a time.

Open Classroom View
Common misconceptions
  • Categories connected as if continuous — Use line graphs only when order or continuity is meaningful.
  • Axis break ignored — Inspect labels before judging steepness.
  • Line assumed to prove values between points — Interpolation is an estimate unless measured.
  • Trend described as cause — The graph shows relationship, not necessarily cause.
🎥 Optional Video Lesson

The SkillrHub lesson remains the primary learning resource. This optional video reinforces the explanation; you can complete the lesson and practice without watching.

Back to the lesson

Before you watch:

  • Pause after each worked example.
  • Try the examples yourself.
  • Return to the SkillrHub lesson before continuing.
Recommended: Reading Line Graphs

Khan Academy — Read a graph showing how a quantity changes over time.

As you watch: How do you tell when a quantity stays the same, rises or falls?

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

Try it: Make a five-day temperature line graph from sample data and explain the interval with the greatest change.

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Curriculum equivalents: Victoria, NSW and international

Curriculum equivalents for Interpret line graphs representing change over time; discuss the relationships...

Mapped skill: interpret line graphs representing change over time; discuss the relationships that are represented and conclusions that can be made

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 v9.0AC9M5ST02 · Year 5
VictoriaVictorian Curriculum F–10 Version 2.0 — MathematicsVC2M5ST02 · Level 5
New South WalesNSW Mathematics K–10 Syllabus (2022)MA3-DATA-02 · Stage 3
United States (USA)Common Core State Standards for MathematicsGrade 5
Canada (Ontario)Ontario Curriculum — MathematicsGrade 5
United Kingdom (England)National Curriculum in England — MathematicsYear 6, Key Stage 2
IndiaNCERT / CBSE — MathematicsClass 5

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 reference
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