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

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

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

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.

Examples Fold up the left flap.

Examples Fold up the left flap.

Examples Next, fold up the back flap.

Examples Next, fold up the back flap.

Examples Fold up the front flap.

Examples Fold up the front flap.

Examples Fold up the right flap.

Examples Fold up the right flap.

Examples Now fold the top flap over.

Examples Now fold the top flap over.

Examples This net will make a cube!

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

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

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

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

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

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

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

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

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

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

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.

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

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.