AC9S5I04: Construct and use appropriate representations, including tables, graphs and visual or physical models, to organise and process data and information and describe patterns, trends and relationships

Students choose representations by variable type and question, calculate or organise data transparently and interpret patterns while distinguishing what a model or graph shows from what it cannot establish.

A representation is appropriate when it preserves the evidence and makes the relevant relationship easier to inspect.

Use labels, units and consistent scales. Calculated values such as means should be traceable to raw data.

Graphs reveal relationships but do not alone prove cause. Link conclusions to the method and scope.

Learning routine: Observe → Model → Investigate → Analyse → Explain → Evaluate

Success looks like

• Identify system components
• Explain relationships with a model
• Use evidence from a fair method
• Apply to a new context
• Evaluate limits and further questions

representation

organised way of showing evidence or a system

processed data

data transformed through calculation or grouping

relationship

way variables change together

Content description: construct and use appropriate representations, including tables, graphs and visual or physical models, to organise and process data and information and describe patterns, trends and relationships.

• E1: using annotated digital photography or field sketches to describe structural features of plants or animals
• E2: constructing a column graph to illustrate the relationship between predation and an animal feature such as colour as indicated by a simulation, and using values to represent the outcomes of repeated simulations
• E3: modelling landscapes using materials such as sand, gravel, soil and rocks to show effects of erosion by water
• E4: constructing labelled ray diagrams to represent observations and compare how light interacts with different objects
• E5: using maps to identify patterns in erosion site locations or aerial photographs to show effects of erosion over time

Core idea: A representation is appropriate when it preserves the evidence and makes the relevant relationship easier to inspect.

Remember

• Identify system components
• Explain relationships with a model
• Use evidence from a fair method
• Apply to a new context
• Evaluate limits and further questions

Important questions

• Choose a graph type. Explain using the model or evidence above.
• Label axes. Explain using the model or evidence above.
• Explain a processed value. Explain using the model or evidence above.
• Describe a pattern with numbers. Explain using the model or evidence above.
• State a limitation. Explain using the model or evidence above.

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

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

• Graph type chosen by habit — Match it to variables and question.
• Calculated value has no method — Show how data were processed.
• Axes omit units — Readers need quantity and scale.
• Pattern described as universal law — Limit to evidence and conditions.

Curriculum equivalents for Construct and use appropriate representations, including tables, graphs and visual...

Mapped skill: construct and use appropriate representations, including tables, graphs and visual or physical models, to organise and process data and information and describe patterns, trends and relationships

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.

Australian Curriculum Version 9.0

• AC9S5U01: Structural and Behavioural Adaptations
• AC9S5U02: Weathering, Erosion and Deposition
• AC9S5U03: Reflection, Refraction and Absorption of Light
• AC9S5U04: Solids, Liquids and Gases
• AC9S5H01: How Scientific Knowledge Develops
• AC9S5H02: Science, Decisions and Unintended Consequences