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Reading & writing · Grades 10–12

Assumptions in a model · reading guide

An original passage with comprehension, reasoning and a marking guide.

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Assumptions in a model

A model predicted that a tank would empty at a constant rate. Its graph was a straight line. In the real experiment, the water level fell quickly at first and more slowly later. The team retained the model as a rough approximation over a short interval, but documented that it did not describe the entire process accurately.

Read, think and respond

  1. Which assumption differs from the observed behaviour?
  2. Why might a model remain useful despite being imperfect?
  3. Describe evidence that would justify replacing the straight-line model.

Suggested answers and marking notes

Which assumption differs from the observed behaviour?

Rubric: Identify constant outflow or constant rate of falling water level, depending on the model interpretation, and connect it to the changing observed rate.

Why might a model remain useful despite being imperfect?

Rubric: Explain that a documented approximation can be adequate within a specified interval or purpose, while limitations prevent overextension.

Describe evidence that would justify replacing the straight-line model.

Rubric: Refer to systematic curved patterns or changing slopes in repeated measurements, with attention to uncertainty rather than isolated noise.

Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.