A short assessment asks participants to find the original radius required to replace a table top. The problem provides a hypothetical situation of having a segment of a broken glass table top. Pupils find the radius of the circular top using the section of the table top.

Concepts

circles, center, tangent lines, pythagorean theorem, arcs, radius, geometric constructions, constructions

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Additional Tags

math

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Instructional Ideas

• Require justifications of solutions methods using theorems, postulates, definitions, etc.
• Provide the class with actual segments of a circle made from paper plates and have them confirm their processes

Classroom Considerations

• The class should be familiar with properties of circles and relationships of lines associated with the circle

Pros

• Answer key provides two options
• Rubric provides descriptions of full and partial credit responses

Cons

• None

Common Core

HSG-C.A.2 HSG-C.A.3 HSG-C.A.4