Represent and Process Scientific Data — AC9S8I04

• Choose graphs and tables that suit data type and purpose.
• Use spreadsheet formulas and consistent units correctly.
• Represent energy and particle changes accurately.
• Evaluate what a graph, model or simulation shows and omits.

Recall independent and dependent variables, table headings with units, measurement precision and the difference between categories and continuous quantities.

Use the chain question → data type → representation → processing → pattern → limitation. A neat representation is not necessarily an honest or useful one.

In a spreadsheet, =AVERAGE(B2:B6) calculates a mean and =SUM(B2:B6) a total. Convert to consistent units before combining or averaging values.

Use a line graph for change over a continuous variable, a scatter plot for two quantitative variables, a bar chart for categories and a pie chart for parts of a whole—not change over time.

Models and diagrams must preserve the science. An energy-flow diagram includes important stores and transfers, with arrows showing the direction of transfer or transformation; a particle model distinguishes physical rearrangement from chemical formation of new substances.

1. Identify whether the data are categorical or quantitative.
2. Choose a graph and justify it.
3. Check axes, units, title and scale.
4. State one pattern and one limitation.

1. Choose a representation for temperature over 20 minutes.
2. Explain why SUM cannot replace AVERAGE.
3. Correct a graph with mixed units and an uneven scale.
4. Draw an energy-flow description for a rollercoaster.
5. Explain how particle models differ for evaporation and rusting.
6. Evaluate what a cardboard plate model or simulation shows and leaves out.

Three groups measured the same variable using different units and methods. Explain the checks and conversions needed before collating the data, then choose a representation that exposes rather than hides disagreements.

1. Which graph for categories? A bar chart, with separated category bars.
2. Why use cell references? Formulas update when source data changes and are easier to audit.
3. What belongs on graph axes? Independent variable on x and dependent variable on y, with names and units.
4. How is a model evaluated? By its purpose, evidence, strengths, assumptions and omitted features.

1. Choose a graph for battery voltage across recharge cycles.
   Cycles are ordered quantitative values, so a line graph can show change.
2. Evaluate a pie chart used for temperature over time.
   It represents parts of a whole, not a continuous sequence.
3. Assess a model that shows only useful kinetic energy.
   Include energy transferred to heat and sound and state the model purpose.

• I match representations to data.
• I process values with correct formulas and units.
• I label graphs honestly.
• I explain model strengths and limitations.

Exit ticket: Why can a technically correct graph still mislead?

Australian Curriculum v9.0 — AC9S8I04: select and construct appropriate representations, including tables, graphs, models and mathematical relationships, to organise and process data and information.

Victorian Curriculum F–10 Version 2.0 — Levels 7–8, VC2S8I04: Exact.

NSW Science 7–10 Syllabus (2023) — Stage 4, SC4-WS-05: Exact — the NSW Working Scientifically outcome directly align with the core inquiry process.

• AC9S8I03 — Precision and recording
• AC9S8I05 — Patterns and anomalies

• Australian Curriculum v9.0
• Victorian Curriculum F–10 Version 2.0 Science
• NSW Science 7–10 Syllabus (2023)

Curriculum equivalents for Select and construct appropriate representations, including tables, graphs, models and...

Mapped skill: select and construct appropriate representations, including tables, graphs, models and mathematical relationships, to organise and process data and information

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.