A Golden Crown?

In this assessment task, learners determine whether a crown with given information is composed of pure gold. The task expects algebraic and numerical solution methods, so unlike Archimedes, no bathtub is necessary.

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CCSS: Designed
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Instructional Ideas
  • Use actual values for the density of gold and silver to make the task more real
  • Have the class investigate the method Archimedes used to solve the problem
Classroom Considerations
  • Learners must know how to solve systems of equations in addition to using proportional reasoning
  • Simple, straightforward task makes for easy lesson planning
  • Rubric is confusing, particularly in regards to partial credit scoring
  • Task references Archimedes but does not show how Archimedes solved the problem