Virginia SOL 3.MG.4.g
The Standard
Subdivide a three-sided or four-sided polygon into no more than three parts and name the resulting polygons.
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 divide a triangle or quadrilateral into two or three smaller polygons using straight segments. They name each resulting polygon based on its number of sides.
What Mastery Looks Like
- Students draw straight segments to divide a triangle or quadrilateral into two or three nonoverlapping polygons. They correctly name each new polygon by counting its sides.
Common Misconceptions
- Students may count the original figure’s sides instead of the sides of each new piece. They may use curved lines, create overlapping parts, or name every piece as a triangle.
How to Assess It
- Give students a printed triangle and quadrilateral. Ask them to divide one into two polygons and the other into three polygons, then label each resulting polygon.
Lesson moves
Ways to Teach It
Give students paper triangles and quadrilaterals to cut into two or three pieces, then trace and name every resulting polygon.
Show two different partitions of a rectangle and ask, “What polygons were made, and how do you know?”
Play Partition Challenge: partners draw a shape card and a target number of parts, then divide and label the shape.
Have students design three polygon sections inside a triangular or quadrilateral garden plot, then label each section for a different plant.
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Classify and compare polygons (triangles, quadrilaterals, pentagons, hexagons, octagons).
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