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Concrete Representations of Geometric Concepts National Council of Teachers of Mathematics 2007 Annual Meeting and Exposition Atlanta, Georgia -- March 22, 2007 Dr. Nancy F. Matthews Montgomery Central Middle School -- Cunningham, TN [email protected] Kay D. Haralson Austin Peay State University -- Clarksville, TN [email protected]

Concrete Representations of Geometric Concepts National Council of Teachers of Mathematics 2007 Annual Meeting and Exposition Atlanta, Georgia -- March

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Page 1: Concrete Representations of Geometric Concepts National Council of Teachers of Mathematics 2007 Annual Meeting and Exposition Atlanta, Georgia -- March

Concrete Representations of

Geometric ConceptsNational Council of Teachers of Mathematics

2007 Annual Meeting and Exposition Atlanta, Georgia -- March 22, 2007

Dr. Nancy F. MatthewsMontgomery Central Middle School -- Cunningham, TN

[email protected]

Kay D. HaralsonAustin Peay State University -- Clarksville, TN

[email protected]

Page 2: Concrete Representations of Geometric Concepts National Council of Teachers of Mathematics 2007 Annual Meeting and Exposition Atlanta, Georgia -- March

Do These Nets form Cubes?

For each net, write your prediction on the net. Cut out the net and fold. Did it make a cube? Were your predictions correct? Sort the nets into cubes and not cubes. Write a generalization for predicting which nets make cubes.

Page 3: Concrete Representations of Geometric Concepts National Council of Teachers of Mathematics 2007 Annual Meeting and Exposition Atlanta, Georgia -- March

Test your generalization on the following nets.Predict, then cut and fold.

Page 4: Concrete Representations of Geometric Concepts National Council of Teachers of Mathematics 2007 Annual Meeting and Exposition Atlanta, Georgia -- March

Do These Nets form Triangular Prisms?

For each net, write your prediction on the net. Cut out the net and fold. Did it make a Triangular Prism? Were your predictions correct? Sort the nets into Triangular Prisms and not Triangular Prisms. Write a generalization for predicting which nets make Triangular Prisms.

Page 5: Concrete Representations of Geometric Concepts National Council of Teachers of Mathematics 2007 Annual Meeting and Exposition Atlanta, Georgia -- March

Do These Nets form Prisms?

For each net, write your prediction on the net. Cut out the net and fold. Did it make a Triangular Prism? Were your predictions correct? Sort the nets into Prisms and not Prisms. Write a generalization for predicting which nets make Prisms.

Page 6: Concrete Representations of Geometric Concepts National Council of Teachers of Mathematics 2007 Annual Meeting and Exposition Atlanta, Georgia -- March

Do These Nets form Pyramids?

For each net, write your prediction on the net. Cut out the net and fold. Did it make a pyramid? Were your predictions correct? Sort the nets into pyramids and not pyramids. Write a generalization for predicting which nets make pyramids.

Page 7: Concrete Representations of Geometric Concepts National Council of Teachers of Mathematics 2007 Annual Meeting and Exposition Atlanta, Georgia -- March

1. The net below is folded to form a cube.2. Predict how the other 2 sides be labeled when placed as shown?3. Be sure the letters are in the correct orientation.4. Cut the net and fold to form a cube. 5. Were your predictions correct?

B DC E

F

A

FE

DC

BA