Back to Trace Map
monitor 2 learners

Sound model, imprecise calculation

Understands the fourfold relationship but introduces a numerical or approximation slip.

Shared learning need

Separate conceptual understanding from calculation accuracy.

Assessment question
A circle has a radius of 3 cm. What happens to its area when the radius is doubled? Explain your reasoning.
Selected response

Learner 08

1 / 2
“The area should quadruple: 9π × 4. Using 3.14, I got 112.8 cm².”
Final answer: 112.8 cm²
Reconstructed reasoning

Conceptual scaling is secure; decimal product is slightly inaccurate.

high confidence
  1. Scale

    Identifies the area must quadruple.

  2. Calculate

    Computes 9π × 4 with a small slip.

Evidence in the response

  • “The area should quadruple.”
  • 112.8 is close to 36π ≈ 113.1.

Alternative hypothesis

The discrepancy could come from rounding an earlier value.

Teacher decision

Review this interpretation

Your judgement remains the final word for Learner 08.

Ready to respond to this learning need?

Turn the diagnosis into a focused, testable activity.

Create intervention