Virginia SOL 6.MG.4.a
The Standard
Identify regular polygons.
Virginia Standards of Learning for Mathematics · The student will determine congruence of segments, angles, and polygons.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students examine a polygon's side lengths and angle measures. They decide whether both are equal throughout the figure and use that evidence to classify the polygon.
What Mastery Looks Like
- Students correctly classify polygons by checking that all sides and all interior angles are congruent. They explain why a square is regular but a non-square rhombus is not.
Common Misconceptions
- Students may check only side lengths and ignore angle measures. They may think every symmetric polygon is regular, or that a rotated polygon changes its classification.
How to Assess It
- Exit ticket: A pentagon has five equal sides, but one angle is larger than the others. Is it regular? Explain using both requirements.
Lesson moves
Ways to Teach It
Build polygons with equal-length craft sticks, then measure the angles to decide which models are regular.
Compare a square and a non-square rhombus, then write why only one is regular.
Sort polygon cards into regular and not regular piles, earning a point only when the reason names sides and angles.
Photograph signs, tiles, or logos, then measure their sides and angles to test whether the shapes are regular.
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Printable 6.MG.4.a Worksheet
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Related Standards
- 3.MG.4.b
Classify figures as polygons or not polygons and justify reasoning.
- 6.MG.4.b
Draw lines of symmetry to divide regular polygons into two congruent parts.
- 3.MG.4.e
Classify and compare polygons (triangles, quadrilaterals, pentagons, hexagons, octagons).
- 3.MG.4.d
Identify and name examples of polygons (triangles, quadrilaterals, pentagons, hexagons, octagons) in the environment.
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