Compose 2D and 3D Shapes - 1st Grade Math

Identify the $3$ D shape: it has $1$ circular base and comes to $1$ point.

Right circular cone. Shaped like an ice cream cone.
Which option can make a rectangle with no gaps: $2$ triangles or $2$ circles?

$2$ triangles. Triangles can fit together; circles leave gaps.
What new shape is made by joining $4$ quarter-circles to fill a full turn?

A circle. Four quarters complete a full rotation.
What fraction of a full circle is a quarter-circle?

$\frac{1}{4}$ of a circle. Quarter means 1 part out of 4 equal parts.
Identify the $3$ -D shape made by stacking cubes in a rectangular block (not all edges equal).

Right rectangular prism. Non-cubic arrangement creates rectangular box shape.
Which option best describes a trapezoid: $1$ pair of parallel sides or $2$ pairs?

$1$ pair of parallel sides. Only one pair of sides are parallel in trapezoids.
What fraction of a full circle is a half-circle?

$\frac{1}{2}$ of a circle. Half means 1 part out of 2 equal parts.
What is a cube?

A solid with $6$ equal square faces. All faces are identical squares.
Identify the composite shape: $2$ congruent triangles joined along one side to form $4$ sides.

A quadrilateral (often a parallelogram). Two triangles form a 4-sided shape.
Which option names only three-dimensional shapes: squares, cubes, cones, circles?

Cubes and cones. 3D shapes have volume; 2D shapes are flat.
What does it mean to compose shapes?

Put shapes together to make a new shape. Combining shapes creates a bigger or different shape.
Identify the $3$ D shape: it is a box shape with rectangular faces (not all equal).

Right rectangular prism. A box with rectangular (not square) faces.
What is a right circular cylinder?

A solid with $2$ circular bases and a curved side. Shaped like a can or tube.
Which solid has $2$ flat circular faces: cube, cylinder, cone?

Cylinder. Only cylinders have 2 circular ends.
Identify the $3$ D shape: it has $6$ equal square faces.

Cube. All faces are identical squares.
What shape is made by combining $2$ quarter-circles to make a half-circle?

Half-circle. Two quarters equal one half.
What must be true when composing shapes with no gaps or overlaps?

Edges match up exactly; the pieces cover the shape once. Proper composition requires perfect fit without gaps.
What is a right rectangular prism?

A solid with $6$ rectangular faces. Like a box with rectangular faces.
What $2$ D shape is the base of a right circular cylinder?

Circle. The flat ends of a cylinder are circles.
What shape do you make by combining $2$ quarter-circles to match curved edges?

A half-circle. Two quarter-circles make half of a full circle.
What is the name of a shape with exactly $3$ straight sides?

Triangle. The simplest polygon has only 3 sides.
Identify the $3$ -D shape that has $1$ circular base and comes to a point.

Right circular cone. Shaped like an ice cream cone with circular base.
What shape do you make by combining $2$ half-circles with straight edges together?

A circle. Two halves complete the whole.
Identify the $3$ -D shape that has $2$ circular faces and one curved surface.

Right circular cylinder. Like a can with circles on top and bottom.
What is a composite shape?

A shape made from $2$ or more shapes joined together. Multiple shapes combined form one new shape.
Identify the shape made by joining $2$ equal triangles along a full side.

A quadrilateral (often a parallelogram or a rectangle). Two triangles share a side to form a 4-sided shape.
Which option names only two-dimensional shapes: rectangles, cubes, triangles, cylinders?

Rectangles and triangles. 2D shapes are flat; 3D shapes have depth.
What shape is made by combining $4$ quarter-circles?

A full circle. Four quarters make a whole.
Which composite shape is made by putting $2$ squares together edge-to-edge?

A rectangle. Two squares side-by-side form a longer rectangle.
What $2$ D shape is the base of a right circular cone?

Circle. The flat bottom of a cone is circular.
Which option makes a larger composite shape: joining $3$ triangles or joining $1$ triangle?

Joining $3$ triangles. More pieces create bigger composite shapes.
What is a right circular cone?

A solid with $1$ circular base and $1$ point. Shaped like an ice cream cone.
What is the name of a $4$ -sided shape with exactly one pair of parallel sides?

Trapezoid. Only 2 sides are parallel in this quadrilateral.
What $2$ D shape can be a face of a right rectangular prism?

Rectangle. Box shapes have rectangular faces.
Identify the $3$ -D shape that has $6$ square faces.

Cube. All faces are identical squares in a cube.
Which option is a two-dimensional (flat) shape: square or cube?

Square. Squares are flat (2D), while cubes are solid (3D).
Identify the composite shape: $2$ equal squares placed side by side share a full side.

A rectangle. Squares share a side to double the length.
What $2$ D shape is the face of a cube?

Square. Each face of a cube is identical.
Which option is a three-dimensional (solid) shape: cylinder or circle?

Cylinder. Cylinders have depth (3D), circles are flat (2D).
What is the name of a shape with $4$ equal sides and $4$ corners?

Square. All sides and angles are equal in this shape.
What does it mean to decompose a shape?

Split a shape into smaller shapes. Breaking apart means dividing into parts.
Which $3$ D shape can be made by stacking $2$ cubes: cube or right rectangular prism?

Right rectangular prism. Stacking cubes creates a taller box shape.
What composite shape do you make by joining $2$ equal squares side by side?

A rectangle. Two squares side-by-side form a longer shape.
Which solid has exactly $1$ flat circular face: cube, cylinder, cone?

Cone. Cones have 1 base and come to a point.
Identify the $3$ D shape: it has $2$ circular faces and $1$ curved surface.

Right circular cylinder. Like a can with flat circular ends.
What is the name of a shape with $4$ corners and opposite sides equal (a typical box face)?

Rectangle. Has 2 pairs of parallel sides with right angles.
Identify the $3$ -D shape that looks like a box and has rectangular faces.

Right rectangular prism. Box-shaped with rectangular (not square) faces.
What new shape is made by joining $2$ half-circles along their straight edges?

A circle. Two halves complete the whole circle.

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