How to Examine Lines and Planes
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Are you short of funds for purchasing three dimensional models?  Are you short of funds for purchasing computer software for 3-D demonstrations?  Don't give up!  Simple and inexpensive manipulatives may be able to help.
 

Using an Open Crate

An open crate, such as the one at the right, can become an inexpensive manipulative for examining lines and planes. 

The sides of the crate can illustrate the relationships between parallel planes and perpendicular planes.
 

The open nature of the crate allows for lines (rods, pencils, rulers, yardsticks, straws, string pulled tight) to be passed through the openings so that relationships between lines and various planes can be observed.

Students can work with a crate at a station during review, as a class activity, or as observers as the teacher demonstrates.

Using the Classroom Walls

The walls and ceiling of the classroom can illustrate the relationships between parallel planes and perpendicular planes.  Students, yardsticks, rods, poles, brooms, etc. can act as lines and can be positioned in various locations to illustrate theorems about lines and planes.

 

Using the Exterior Walls

The exterior walls the school building can also illustrate the relationships between parallel planes and perpendicular planes.  A picture of your school building can be used on worksheets to illustrate planes.  Just label the picture and you are ready to ask questions about planes.