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Common Core MathKindergartenGeometry

K.G.2: Name Shapes in Any Size or Position

Also written as K.G.A.2 and CCSS.MATH.CONTENT.K.G.A.2 · Cluster: Identify and describe shapes.

Make a K.G.2 WorksheetAll 22 Kindergarten Math Standards

The Official Wording

Correctly name shapes regardless of their orientations or overall size.

Common Core State Standards, Kindergarten, Geometry · Read it at the source · Checked October 14, 2026

What K.G.2 Means in Plain English

Kindergartners know a triangle is still a triangle when it balances on one point, and a square the size of a fingernail is still a square. The name depends on the sides and corners, not on which way the shape is turned or how big it is drawn.

Most children arrive knowing one prototype of each shape: the triangle with its flat side down, the square sitting level. Showing shapes turned and shrunk breaks that habit. Counting the sides to prove a name is K.G.4, and 1st grade names the attributes that define a shape (1.G.1).

K.G.2 I Can Statements

  • I can name a shape even when it is upside down.
  • I can name a shape whether it is big or small.
  • I can know a shape by its sides and corners, not its position.

K.G.2 Worked Example

One triangle shown four ways, and the question that settles its name every time.

Problem

Mr. Ortiz holds up a paper triangle, then turns it. Is it still a triangle each time?

Is it still a triangle?
  1. Flat side down, point at the top. Everyone knows this one.3 sides, 3 corners: triangle
  2. Turn it so a point faces down. It looks like it might fall over, but count again.still 3 sides, 3 corners: triangle
  3. Turn it sideways, point to the left. The sides did not change, only the way it sits.3 sides, 3 corners: triangle
  4. Now a tiny one cut from the corner of the page. Smaller, but the same count.3 sides, 3 corners: triangle
AnswerYes. It is a triangle every time, because it always has three straight sides and three corners.

Check it: Hand the paper to a child and let them turn it any way they like. If the count of sides and corners never changes, the name cannot change either.

Common Mistakes with K.G.2

The upside-down triangle becomes something else

A triangle with its point down is called “a cone” or “not a shape”

Try this: Count the sides together with the shape in that position, then turn it back. Three sides both times means triangle both times.

A tilted square is a diamond

A square turned on its corner is named “diamond”, as if it were a different shape

Try this: Rotate the paper slowly while the child watches. The four equal sides and four square corners never change, so the name is square.

Big means a different shape

The large circle on the rug is a circle, but the small one on the worksheet is “a dot”

Try this: Trace both with a finger and talk about what makes a circle: round all the way around, no corners. Size does not count.

Where K.G.2 Fits

Comes BeforeK.G.1Name the shapes of everyday objects and say where they are.
AlongsideK.G.3Tell flat shapes from solid shapes.K.G.4Count sides and corners to compare shapes.
Comes NextK.G.5Build and draw shapes, which only works when the name is secure.1.G.1Separate what defines a shape, like three sides, from what does not, like orientation or size.

Practice K.G.2

Math Worksheet GeneratorFree ToolKindergarten shape identification pages with triangles, squares and rectangles drawn turned, tilted and in mixed sizes, so every item tests the name and not the pose.KindergartenShapesAnswer key
Make a Worksheet
Graph Paper GeneratorFree ToolLarge-square grid paper for drawing one shape many ways: a square of 2 squares, a square of 4, a triangle pointing up and one pointing down, each labeled with its one name.Large squaresOne page
Make Graph Paper

Quick Check

  1. A triangle is turned so one point faces the floor. What shape is it now?
  2. Is a very small square still a square?
  3. Rosa says the tilted shape on the board is a diamond. It has four equal sides and four square corners. What should she call it?

K.G.2: Other Names

K.G.2K.G.A.2CCSS.MATH.CONTENT.K.G.A.2

Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Official wording from the Common Core State Standards PDFs at corestandards.org, last checked October 14, 2026. The explanation, I can statements, example, mistakes and practice on this page are EMStudio’s own, written beside the official wording. They are not part of the standard.