Virginia SOL 3.MG.4.d
The Standard
Identify and name examples of polygons (triangles, quadrilaterals, pentagons, hexagons, octagons) in the environment.
Virginia Standards of Learning for Mathematics · The student will identify, describe, classify, compare, combine, and subdivide polygons.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find polygon-shaped outlines on objects in classrooms, buildings, signs, and packaging. They count straight sides and vertices to name triangles, quadrilaterals, pentagons, hexagons, and octagons.
What Mastery Looks Like
- A student recognizes a polygon even when it is turned, stretched, or part of a larger design. The student names it from its number of sides and explains why circles, open figures, and curved outlines do not qualify.
Common Misconceptions
- Students may name shapes by appearance instead of counting sides, especially with irregular or rotated figures. They may call every four-sided outline a square or include circles and open figures as polygons. Some count interior lines that are not part of the outline.
How to Assess It
- Exit ticket: Sketch and label one object with a triangular outline, one with a quadrilateral outline, and one with an octagonal outline. Write the number of sides for each.
Lesson moves
Ways to Teach It
Give pairs sticky notes for a classroom shape hunt; students mark polygon outlines, count sides, and write each shape name.
Show a playground photo and ask, "Which outlines are polygons, and how do their sides prove each name?"
Play a card match with object photos, side-count cards, and shape names; students explain each completed set.
Use a grocery flyer to find package faces shaped like triangles, quadrilaterals, pentagons, hexagons, or octagons.
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Related Standards
- 3.MG.4.c
Identify and describe triangles, quadrilaterals, pentagons, hexagons, and octagons in various orientations, with and without contexts.
- 6.MG.4.a
Identify regular polygons.
- 3.MG.4.f
Combine no more than three polygons, where each has three or four sides, and name the resulting polygon (triangles, quadrilaterals, pentagons, hexagons, octagon...
- 3.MG.4.e
Classify and compare polygons (triangles, quadrilaterals, pentagons, hexagons, octagons).
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