Lesson Plan

Identify a rectangular prism, triangular prism, square pyramid, or triangular pyramid by counting faces, edges, and vertices, and naming face shapes.

Unfold a 3D figure into a net of rectangles and triangles, and recognize that different unfoldings produce different (but equally valid) nets.

Decide whether a candidate flat arrangement of polygons is a valid net for a given 3D figure by checking face count, face shapes, and how faces fold together.

Compute the surface area of a rectangular prism by summing the areas of its 6 rectangular faces, equivalently SA = 2(lw + lh + wh).

Compute the surface area of a triangular prism by summing 2 triangular face areas + 3 rectangular face areas, equivalently SA = 2B + (perimeter of base)(prism height).

Compute the surface area of a square pyramid (1 square + 4 triangles) and a triangular pyramid (4 triangles), using the slant height of each triangular face.

Solve real-world surface area problems (wrapping, painting, packaging, tent canvas), recognizing that some problems include all faces and others exclude specific faces.

6.G.A.4

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. -- Standard 6.G.A.4