It does not divide into 360 evenly, so it cannot work. The resource extends pupils' thinking about rotational symmetry. By asking for a figure with a rotational symmetry of a seemingly impossible angle, the activity requires learners to think about multiples of angles of rotational symmetry.

Concepts

angle of rotation, rotational symmetry, rotations, symmetry, regular polygons

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Additional Tags

math

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Instructional Ideas

• Provide the class either with manipulatives or technology to investigate
• Divide classmates into groups and have each group defend that they have found all of the possible polygons meeting the criteria

Classroom Considerations

• Students should be familiar with rotational symmetry

Pros

• Provides a detailed discussion of the task
• Gives suggestions for assessment and extensions

Cons

• None

Common Core

HSG-CO.A.3 HSG-CO.A.4 MP3 MP8