Represent three-dimensional figures using nets

Start lessonBegins with Nets and rectangular prism surface area · Slides

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

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.

What you'll learn

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.

Review first:

Find the area of right triangles, other triangles, special quadrilaterals, and polygons

Slides

Step through the lesson, or watch it as a narrated video • 2 slide decks

Nets and rectangular prism surface area

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Triangular pyramid and real world surface area

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Practice

Try it on your own

Exercise

Practice problems, checked as you go

Animated Videos

Short animated explanations of the key idea • 3 animated videos

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