Net and Solid Structure
Reason about a rectangular prism, cube, or die through its net, faces, edges, and vertices: which faces are opposite or adjacent, hidden versus visible edges, folding a net, and positional face counts.
grade 5–6 GeometryMeasurement & data visualspatial
Progression (17)
g6 1. Dashed edges in a sketch are hidden Geometry
g6 2. Ribbon length matches parallel box edges GeometryMeasurement & data
g6 3. Adjacent faces in a net meet perpendicularly Geometry
g6 4. Opposite faces of a prism are parallel Geometry
g6 5. Exposed faces depend on a cube's position GeometryMeasurement & data
g6 6. Faces are bounded by edges joining vertices Geometry
g6 7. Each prism face: 4 perpendicular, 1 parallel Geometry
g6 8. Face, edge and vertex counts identify a prism GeometryExpressions
g7 9. More faces means more vertices and edges Geometry
g6 10. Face, edge and vertex counts identify a pyramid GeometryExpressions
g6 11. Cut an edge to unroll the sides into one rectangle Geometry
g6 12. In a prism net the two congruent faces are the bases Geometry
g6 13. A segment in the net is an edge of the solid Geometry
g6 14. Ribbon parallel to an edge is as long as that edge GeometryMeasurement & data
g7 15. Find every point the line passes through Geometry
g7 16. Find the matching lengths in a cylinder net Geometry
g7 17. A cylinder seen from the front is its vertical cross-section Geometry
Bridges to competition (3)
Reasoning problems that extend this idea toward competition:
Count cubes in a stacked solid Shape enumeration
Draw the top-view outline Shape enumeration
Top, front, and side views Shape enumeration