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.

Concepts

systems of equations, proportional reasoning, proportions

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Additional Tags

math

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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

Pros

• Simple, straightforward task makes for easy lesson planning

Cons

• Rubric is confusing, particularly in regards to partial credit scoring
• Task references Archimedes but does not show how Archimedes solved the problem

Common Core

7.RP.A.1 7.RP.A.2.a MP2 MP3 MP6 MP7