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CREATING 2 DIMENSIONAL NETS FOR 3 DIMENSIONAL SOLIDS
(Recognizing the links between 2D and 3D)

NCTM Principles and Standards - Ref Page 169 (Geometry - Grades 3 to 5)

MATERIALS REQUIRED PER STUDENT OR GROUP
10 Squares of same color
20 Triangles
4 Triangle Frames
Plus Connectors

PART ONE - Nets of Cubes
1. Make a 'T' shaped net with 6 squares, then fold it to create a cube.

2. See how many different nets you can make for a cube - Fig 1

PART TWO - Nets of Cuboids (Rectangular Boxes)
3. Make a 'T' shape with 10 squares (double row), then fold it to create a cuboid.

4. See how many different nets you can make for the cuboid - Fig 2

PART THREE - Nets of Pyramids
5. Make a large triangle with 16 triangles, and then fold it into a pyramid.

6. See how many different nets you can make for the triangular pyramid - Fig 3

PART FOUR - Some other nets
7. Make a net with 8 triangles. Find out what solid 3D shape it transforms to - Fig 4

8. How many faces does it have ? This one is called an octahedron (octa means 8).

9. Is it a regular octahedron ? Why ?

10. Discover what other nets you can make from this shape.

Fig 1, Fig 2, Fig 3, Fig 4

 

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