Geometry

Ag_math_geometry

Recognize geometric objects have different properties when viewed from a variety of perspectives
Grades 2-4

Introduction
Geometry begins with the recognition of shape names and descriptions of basic shape attributes.  Some attributes of shapes are best understood when viewed in different perspective views.  GollyGee Blocks is a modeling tool that can be used to explore 3D shape attributes and what happens when shape are rotated, flipped, translated, and stretched.

Preparation
The teacher should prepare an overhead slide for use with this activity.

Procedure
The teacher should perform a quick review of geometry words, shape names, and tools available in GollyGee Blocks to set a good stage for enjoying this activity to its fullest.

The students are instructed to drag various geometric shapes into the scene area.  Students will count the shape attributes (e.g., edges, faces, and vertices) and record them in their math journals or on a separate piece of paper.  Students will use the Rotation Tools to look at the shapes and record the attributes they see.  Note: The teacher may need to explain that some shapes (e.g., spheres, cylinders, domes etc.) will not have edges or faces.

The teacher may wish to give exact directions for this activity using the following guidelines (an overhead transparency might be helpful here): Drag the shape into the scene.  Count and record the number of faces you see.  Rotate the scene using the down arrow and then record the name of the shapes (plane figure shapes) that are viewed as the solid is seen from different angles.  What is the 3D solid made up of (i.e., what shapes does your solid have as sides?)?  Repeat the activity in Wire Frame Mode.  Are there any differences in what the student sees?  The student should write about how the Wire Frame Mode helps in viewing the shape attributes.

The teacher instructs the students to return to the starting point and use the left/right arrows to rotate the object and continue recordings making sure you get to see all sides of your solid shapes.

The activity complexity should be scaled down for second graders.

Evaluation
The teacher should observe students methods of following the prescribed directions and following through with the use of different perspective views to solve the challenge.

The teacher checks student journals for understanding, correctness, and provides feedback.  Follow-up checking time is suggested for the whole class and for students to learn from any mistakes.

Extensions
The students will enjoy coloring and adding texture to solids in this activity!

Print out different scenes as the shapes are rotated and create a display called Golly Gee, GEOMETRY!  Include a table of solids and their attributes.

A 3D Shapes Book can be created by allowing students to randomly use as many solids in a variety of possible ways to create new scenes. (This activity may also be simplified to making 3D scenes by second graders.)

Students choose an appropriate shape to discuss with the class (discuss the shape attributes and what is seen when the shape is flipped and rotated).

Tips
Children have a wide difference in their ability to view objects with different perspectives.   Practicing this activity again with complete teacher direction for some children might be necessary.  Visual and spatial relationship concepts are not easy for all children, but by using this 3D software program, many children by see the properties of all the solids more clearly.  In a class discussion the teacher can share the results of observing the solids through different viewpoints, and leave this as a station for students to continue experimenting with perspective.

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