• 8 corners
• 12 edges
• All faces are equal
• 0 corners
• 0 edges
• Completely round
• 1 curved surface
• 0 corners
• Rolls sideways
• 1 pointed top
• 1 curved surface
• Rolls in circles
• 8 corners
• 12 edges
• Like a stretched cube
3D Shapes: Solid figures that have length, width, and height. They take up space.
Face: A flat surface on a 3D shape.
Edge: A line where two faces meet.
Vertex (corner): A point where edges meet.
Curved Surface: A rounded surface that is not flat.
• 3D shapes are solid, not flat like 2D shapes
• They have faces, edges, and vertices
• They take up space and can be held
• They look different from different angles
How many faces does it have?
How many corners?
How many edges?
Systematic Counting: Count each feature one by one without missing any
- Count the faces: Look at each flat surface
- Count the corners: Touch each vertex point
- Count the edges: Trace each line where faces meet
A cube has 6 flat surfaces (front, back, left, right, top, bottom)
A cube has 8 points where edges meet (4 on top, 4 on bottom)
A cube has 12 lines where faces connect
A cube has 6 faces, 8 corners, and 12 edges.
• Systematic counting: Go in order to avoid missing features
• Face identification: Each flat surface counts as one face
• Vertex counting: Points where edges meet
How many faces does it have?
How many corners?
How many edges?
Smooth Surface: Spheres have no flat surfaces, corners, or edges
A sphere has one continuous curved surface with no flat parts
A sphere has no sharp points or corners anywhere
A sphere has no lines where surfaces meet (no edges)
A sphere has 0 faces, 0 corners, and 0 edges.
How many flat faces does it have?
How many curved surfaces?
Does it roll?
A cylinder has 2 flat circular faces (top and bottom)
The side of the cylinder is 1 curved surface
Yes, a cylinder rolls sideways on its curved surface
A cylinder has 2 flat circular faces and 1 curved surface. It can roll sideways.
How many flat faces does it have?
How many curved surfaces?
What shape is the flat face?
Pointed Base: Cones have one flat circular base and one curved surface that tapers to a point
A cone has 1 flat circular face at the bottom
The rest of the cone is 1 curved surface that goes up to a point
The top of the cone comes to a single point (vertex)
A cone has 1 flat circular face and 1 curved surface. It has a pointed top.
How is it different from a cube?
How many faces, corners, and edges does it have?
Stretched Cube: A rectangular prism has rectangular faces instead of square ones
A rectangular prism is like a cube that has been stretched - it has rectangular faces instead of square ones
Same as cube: 6 faces, 8 corners, 12 edges, but faces are rectangles
Both have same number of features, but rectangular prisms have rectangular faces
A rectangular prism has 6 rectangular faces, 8 corners, and 12 edges. It's like a stretched cube.
• Feature counting: Same number of features as cube
• Face shape: Rectangular instead of square
• Prism identification: Stretched version of basic shape
3D (Three-Dimensional): Having length, width, and height
Face: Any flat surface of a 3D shape
Edge: Where two faces meet
Vertex (plural: vertices): Corner point where edges meet
Curved Surface: Rounded surface that isn't flat
- Observe the shape: Look at its overall appearance
- Count faces: Identify each flat surface
- Count edges: Trace each line where faces meet
- Count vertices: Find each corner point
- Note curved surfaces: Identify any rounded parts
- Match to known shapes: Compare with familiar 3D shapes
• Solid nature: 3D shapes are solid, not flat
• Feature counting: Faces, edges, and vertices are key identifiers
• Curved vs. flat: Some shapes have curved surfaces
• Real-world connection: Many objects match 3D shapes