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Nets and Space Shapes Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.

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Basics A net is a two-dimensional figure that can be folded to make a closed three-dimensional shape There are no overlapping sides and no gaps in the figure

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Examples Let’s take a look at the net below. What shape do you think will be made once this net is folded?

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Examples It helps to make this net using graph paper and follow along. Use graph paper to construct the net below. Make each block 4 squares by 4 squares on the graph paper.

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Examples Fold up the left flap.

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Examples Fold up the left flap.

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Examples Next, fold up the back flap.

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Examples Next, fold up the back flap.

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Examples Fold up the front flap.

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Examples Fold up the front flap.

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Examples Fold up the right flap.

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Examples Fold up the right flap.

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Examples Now fold the top flap over.

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Examples Now fold the top flap over.

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Examples This net will make a cube!

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Examples You can also take apart a three-dimensional figure and make it into a net by cutting along the edges.

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Examples First, unfold the flap on the right side of the triangle.

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Examples Then unfold the flap on the left side of the triangle.

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Examples Then unfold the flap on the left side of the triangle.

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Examples Next, unfold the flap that is the front face of the prism.

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Examples Next, unfold the flap that is the front face of the prism.

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Examples Finally, unfold the flap that is the back face of the prism.

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Examples Finally, unfold the flap that is the back face of the prism.

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Common Nets Here are a few space shapes that are commonly made into nets. Tetrahedron – has four triangular faces Dodecahedron – has twelve pentagonal faces Icosahedron – has twenty triangular faces

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Follow-Up Questions Answer the following questions on loose leaf and hand them in to your teacher.

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Follow-Up Questions 1.Draw two different versions of the original net (below) that would also form a cube. You can use graph paper to check your work.

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Follow-Up Questions 2.Look at the shapes below. Draw the nets for each space shape. a.b.

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Follow-Up Questions 3.What space shape would be made from the net below? You may need to go back and review previous slides to help get your answer.

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