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Kindergarten · K.G.B.5 · K.G.B.6

Composing shapes in kindergarten

Composing shapes means putting small shapes together to make a bigger shape, like a square and a triangle that make a house. In kindergarten, your child also builds shapes from sticks and clay, draws them and spots them in everyday objects.

What the standards say

The official Common Core wording, quoted exactly. The plain version follows.

K.G.B.5 Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.

K.G.B.6 Compose simple shapes to form larger shapes.

What it means, in plain words

Building shapes and drawing shapes K.G.B.5

In kindergarten, children make shapes with their hands before they can draw them well. Building shapes from parts, such as straws or craft sticks joined with small balls of clay, shows what a shape is made of. A triangle needs 3 sticks. A square needs 4 sticks of the same length.

Drawing shapes is harder than it looks for a 5-year-old. Lines wobble and corners come out round. That is normal at this age. What matters is that a drawn square has 4 sides and 4 corners, with sides that look about the same length.

Your child also learns to see shapes in the real world. A door is a rectangle, a clock face is a circle and a sandwich cut from corner to corner makes two triangles. Matching an object to its shape is the first step toward describing things with shapes.

Your child should be able to:

  • Build a triangle, a square or a rectangle from sticks and clay or similar parts
  • Draw a circle, a triangle, a square and a rectangle that someone else can recognize
  • Name the shape of everyday objects, like a door, a clock or a road sign

Example

How can your child build a triangle from straws and play dough?

  1. A triangle has 3 straight sides, so take 3 straws.
  2. Roll 3 small balls of play dough. Each ball joins the ends of 2 straws.
  3. Join the last straw to the first one so there is no gap.
  4. The shape is closed and has 3 sides and 3 corners, so it is a triangle.

Combining shapes to make bigger shapes K.G.B.6

Combining shapes is the second half of this topic. Your child puts two or more small shapes together to make a larger one. Pattern blocks, the wooden shapes many classrooms use, are made for this: some small blocks fit exactly over a bigger one.

The pieces must fit with no gaps and no overlaps. A gap is an empty space between pieces. An overlap is one piece lying on top of another. Often a piece fits only after your child turns it or flips it over.

Composing shapes in kindergarten trains the eye to see a big shape as smaller parts. The same skill comes back in 1st grade, when children cut circles and rectangles into halves and fourths.

Your child should be able to:

  • Put two or three small shapes together to make a bigger shape
  • Turn or flip a piece until it fits with no gaps and no overlaps
  • Say which small shapes make up a picture, like a house made of a square and a triangle

Example

How can your child make a house shape from a square and a triangle whose bottom side is as long as a side of the square?

  1. Put the square down first. It is the walls of the house.
  2. Turn the triangle so one corner points up.
  3. Slide the triangle on top, so its bottom side lines up with the top side of the square.
  4. There are no gaps and no overlaps, so the two pieces make one bigger shape: a house.

Where children usually get stuck

  • Your child leaves a gap between pieces, or lays one piece over another, and says the shape is done.

    The child matches the overall look and does not check the edges. From a distance, a small gap or overlap does not seem to matter.

    What helps. Trace around the big shape on paper first. Your child fills the outline, then checks that no paper shows and no piece sits on another.

  • Your child tries a piece only the way it first landed and gives up when it does not fit.

    Young children often do not think of turning or flipping a piece. They expect it to fit as it is.

    What helps. When a piece does not fit, show the moves once: turn it a little and try again, then flip it over and try again. Then hand the piece back.

  • Your child's drawn square looks like a circle with bumps, or a drawn triangle has round corners.

    Drawing straight lines and sharp corners is a hand skill that is still growing at 5. The child knows the shape, and the hand cannot draw it yet.

    What helps. Build the shape from craft sticks first, then trace along the sticks on paper. The sticks keep the lines straight.

Try four practice questions

Real kindergarten questions from our question bank, easiest first. Answer them right here, check each one, and see a worked solution for any question.

  1. 1Warm-up
    Maria wants to draw this shape around an object. Which object matches?
    A
    floor tile
    B
    yield sign
    C
    wooden door
    D
    wall clock
    Show the answer and how to solve it

    Maria should pick the floor tile. A floor tile is a hexagon — it has 6 sides and 6 corners, just like the shape.

    1. 1Look at the shape. It is a hexagon. A hexagon has 6 sides and 6 corners.
    2. 2Now look at each object. The floor tile is a hexagon — it has 6 sides. The yield sign is a triangle — it has 3 sides. The wooden door is a rectangle — it has 2 long sides and 2 short sides. The wall clock is a circle — it is round with no corners.
    3. 3The floor tile is a hexagon, just like the shape. So Maria should pick the floor tile.

    Common mistake. A common mistake is picking the wall clock. The wall clock is a circle — it is round with no corners. The shape has 6 sides and 6 corners, so the wall clock does not match.

    The idea underneath. Two shapes match when they have the same number of sides and the same kind of corners.

  2. 2On level
    Liam wants to fill the hole.
    Shape puzzle (missing-piece)
    Liam picked this piece:
    Which sentence tells about Liam's piece?
    A
    Liam's piece is correct.
    B
    Liam's piece is turned the wrong way.
    C
    Liam's piece is the wrong shape.
    D
    Liam's piece is the wrong size.
    Show the answer and how to solve it

    Liam's piece is turned the wrong way. Both the hole and Liam's piece are triangles of the same size, but they point in different directions — so Liam's piece would not fit into the hole.

    1. 1Look at the hole in the blue rectangle. The hole is shaped like a triangle, and it points a certain way.
    2. 2Now look at Liam's orange piece. Liam's piece is also shaped like a triangle, but it points a different way.
    3. 3Both the hole and Liam's piece are triangles. They are the same shape and the same size — but they point different ways. So Liam's piece is turned the wrong way.

    Common mistake. A common mistake is choosing 'Liam's piece is correct' because both shapes are triangles. To finish a shape, the piece and the hole must be the SAME shape AND turned the same way.

    The idea underneath. A piece fits a hole only when both the SHAPE and the WAY IT IS TURNED match the hole. Same shape but different direction means the piece will not fit.

  3. 3On level
    James wants to build a shape that matches this dinner plate.
    dinner plate
    Drag the pieces into the outline to build the shape.
    Drag each piece from the tray onto the shape to fill it. Drag a piece back to remove it.
    Pieces
    Show the answer and how to solve it

    The dinner plate is round, so the matching shape is a circle. When all 4 quarter pieces are dragged into the outline, the circle is built.

    1. 1Look at the dinner plate. It is round, like a circle.
    2. 2The outline below is a circle. It is made of 4 small pieces.
    3. 3Drag each piece into the outline. Each quarter piece fits one corner — top-left, top-right, bottom-left, or bottom-right.
    4. 4When all 4 pieces are in place, the shape matches the dinner plate.

    Common mistake. A common mistake is putting a piece in the wrong part of the outline. Each piece has a curved edge that fits only one corner — match the curve to the right spot.

    The idea underneath. A whole shape can be built from smaller pieces. The same idea works for other shapes too — bigger shapes are made from smaller pieces.

  4. 4Stretch
    Which picture shows the pieces fitting perfectly?
    A
    Shape puzzle (composition)
    B
    Shape puzzle (composition)
    C
    Shape puzzle (composition)
    D
    Shape puzzle (composition)
    Show the answer and how to solve it

    The correct picture is the one where the two triangle pieces fit perfectly inside the rectangle with no gaps, no overlaps, and nothing sticking out.

    1. 1Look at the four pictures. Each one shows the same rectangle shape with two triangle pieces inside, but the pieces are placed differently in each picture.
    2. 2Three pictures have a problem. One picture has empty space between the pieces and the shape. One picture has the pieces stacked on top of each other. One picture has a piece poking out past the shape.
    3. 3The correct picture shows the two triangle pieces fitting perfectly together inside the rectangle. The pieces fill the whole shape with no empty space, no stacking, and nothing poking out.

    Common mistake. A common mistake is picking a picture where the pieces are inside the shape but leave a gap. The pieces need to fill the whole shape, not just sit inside it.

    The idea underneath. Pieces fit perfectly when they fill the whole shape with no empty space, no stacking, and nothing poking out. All three rules together make the pieces fit.