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
4 Triangle Frames
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.
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