Making New Shapes Matching

Kindergarten MathGeometry3 pages

About this worksheet

Making New Shapes Matching centers on shape composition, the skill in Common Core K.G.6, supported by the comparison language of K.G.4. In the matching table, diagrams show two shapes drifting toward each other with a small gap: two right triangles, two squares, two half-circles, and a triangle above a square. Students write the letter of the new shape each pair makes, choosing from a circle, a house shape, a long rectangle, and a rectangle. The Shape Detective section reverses the process: one straight line drawn through a square, a wide rectangle, and a circle splits each into two smaller shapes.

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$Making New Shapes Matching: Geometry - page 1$

$Making New Shapes Matching: Geometry - page 2$

$Making New Shapes Matching: Geometry - page 3$

Curriculum objectives covered

K.G.4

“Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/"corners") and other attributes (e.g., having sides of equal length).”

Matching demands attribute analysis: students must see that the triangles' diagonal sides fit together and that two equal squares line up into a longer rectangle.

K.G.6

“Compose simple shapes to form larger shapes. For example, "Can you join these two triangles with full sides touching to make a rectangle?"”

Row 1 is the standard's own example, two triangles joining into a rectangle, and the other three rows extend it to squares, half-circles, and the house shape.

What's inside this worksheet

Part 1: Match the Shapes

A three-column table pairs each put-together diagram with an answer box. Two triangles make D (rectangle), two squares make C (long rectangle), two half-circles make A (circle), and the triangle over a square makes B (house shape).

Part 2: Shape Detective

Three plain outlines invite one straight line each: students split a square into 2 triangles (a corner-to-corner diagonal), a wide rectangle into 2 squares (a vertical line down the middle), and a circle into 2 half-circles.

How teachers use it

With cut-out shapes

Give pairs paper triangles, squares, and half-circles to physically slide together before matching. The small printed gap between shapes is an invitation to close it.

Both-directions lesson

Teach Parts 1 and 2 as opposites: putting together, then taking apart. Students who match two squares to the long rectangle but cannot find the line that splits it back have only half the idea.

Anchor chart material

The four compositions, including the house shape from a triangle and square, make a clean class anchor chart. Have students copy their favorite pair with dashed cut lines.

More Kindergarten Math worksheets

Counting and Cardinality Addition and Subtraction Numbers in Base Ten Measurement and Data

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