Virginia SOL K.MG.2
SOL Standard (Knowledge and Skills Cluster)
The student will identify, describe, name, compare, and construct plane figures (circles, triangles, squares, and rectangles).
Virginia Standards of Learning for Mathematics
Cluster contents
Knowledge and Skills in This Standard
K.MG.2 is a Standards of Learning standard. These are the knowledge and skills expectations under it.
- K.MG.2.a
Identify and name concrete and pictorial representations of circles, triangles, squares, and rectangles regardless of their orientation in space.
- K.MG.2.b
Describe triangles, squares, and rectangles to include the number of sides and number of vertices.
- K.MG.2.c
Describe a circle using terms such as round and curved.
- K.MG.2.d
Distinguish between examples and nonexamples of identified plane figures (circles, triangles, squares, and rectangles).
- K.MG.2.e
Compare and contrast two plane figures using characteristics to describe similarities and differences.
- K.MG.2.f
Construct plane figures (circles, triangles, squares, and rectangles) using a variety of materials (e.g., straws, sticks, pipe cleaners).
Teacher's field guide
What This Cluster Means
What Students Need to Do
- Students identify and name circles, triangles, squares, and rectangles, even when the shapes are turned or shown in different sizes. They describe, compare, sort, and build shapes using sides, vertices, straight lines, and curved lines.
What Mastery Looks Like
- Students correctly name circles, triangles, squares, and rectangles in different sizes and positions. They describe sides, vertices, and curved lines, compare two shapes, reject nonexamples, and build each shape.
Common Misconceptions
- Students may name shapes by their position, calling a turned square a diamond. They may confuse rectangles and squares, count curved edges as sides, or accept shapes with gaps or rounded corners as examples.
How to Assess It
- Give each student six shape cards, including turned shapes and nonexamples. Ask them to name each card, count sides and vertices when possible, then explain one choice.
Lesson moves
Ways to Teach It
Give students straws, craft sticks, pipe cleaners, and clay to build a circle, triangle, square, and rectangle, then label each one.
Show a turned square and ask, “Is it still a square?” Have students explain using sides and vertices.
Play Shape Sort Relay with cards showing varied orientations and nonexamples, requiring students to name and justify each placement.
Take a classroom shape hunt, then sketch one real object for each shape and describe its sides, vertices, or curved edge.
Free download
Printable K.MG.2 Worksheet

A ready-to-print activity worksheet aligned to K.MG.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
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Related Standards
- 2.MG.4
The student will describe, name, compare, and contrast plane and solid figures (circles/spheres, squares/cubes, and rectangles/rectangular prisms).
- 2.MG.3
The student will identify, describe, and create plane figures (including circles, triangles, squares, and rectangles) that have at least one line of symmetry an...
- 4.MG.6
The student will identify, describe, compare, and contrast plane and solid figures according to their characteristics (number of angles, vertices, edges, and th...
- 1.MG.2
The student will describe, sort, draw, and name plane figures (circles, triangles, squares, and rectangles), and compose larger plane figures by combining simpl...
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