Graphical Models: Sketching and Interpreting Real-World Graphs

Read values, intercepts, and simple gradients off a given real-world graph (e.g. distance-time) to answer direct questions.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA6-8
  • NA5-9
New NZC (2026)
  • NZC26-P4-MEA-MEA-K-Y9-11

Resources

Terminology

  • Real-world graph
  • Distance-time graph
  • Speed-time graph
  • Rate of change
  • Turning point
  • Interval of increase
  • Interval of decrease
  • Graphical model

Task goals

  • Foundation: Read values, intercepts, and simple gradients off a given real-world graph (e.g. distance-time) to answer direct questions.
  • Proficient: Sketch a graph from a worded real-world scenario and identify key features such as turning points, intervals of increase/decrease, and rates of change.
  • Excellence: Construct and justify a graphical model for a multi-stage real-world situation, using it to solve a problem and critically interpret the limitations of the model.

Where this fits

What leads into this objective, and where it goes next.

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Graphical Models: Sketching and Interpreting Real-World Graphs

Graphical Models: Sketching and Interpreting Real-World Graphs

Know

In position-time graphs, the gradient represents speed.

Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-K-Y9-11

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