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Geometry: Unit Plan
Transformations
The following unit plan was created to be used in a high school geometry course. The students will have just finished a chapter on Polygons and will follow this unit with a chapter on similarity. The unit is based on the chapter entitled "Transformation: Revisiting Congruence" from the textbook Geometry: An Integrated Approach by Larson, Boswell, and Stiff. There are five sections to the unit which are rigid motion in a plane, reflections, rotations, translations, and glide reflections with composition. The students will be performing different activities in order to fulfill the objects of each section. These activities include creating tessellations, drawing the reflection of an image using Miras, creating Kal eidoscopes with reflectional and rotational symmetry, translating images on dot paper, and a brief overview of glide reflections. The unit should take about a week and a half to two weeks to complete. Following the lessons will be a day of review and th en a qu-est (Quiz/Test) which will cover all of the objectives for the unit.
SOL's:
* G.2 The student will use pictorial representations, including computer software and coordinate
methods to solve problems involving symmetry and transformation. This will include * using
formulas for finding distance, midpoint, and slope; * investigating and determining whether a
figure is symmetric with respect to a line or a point; and * determining whether a figure has
been translated, reflected, or rotated.
* G.9 The student will use measures of interior and exterior angles of polygons to solve
problems. Tessellations and tiling problems will be used to make connections to art,
construction, and nature.
NCTM and INTASC:
* Students communicate with each other and the teacher during cooperative learning and whole
class discussions.
* The teacher utilizes various teaching methods to encourage student development
* Students learn concepts through the use of real world examples
References:
* Larson, Roland, Boswell Slater, and Lee Stiff. Geometry: An Integrated Approach. Lexington:
D.C. Heath and Company, 1995.
* Giarrusso, Jean A. Geometry: Study Guide for Reteaching and Practice. Toronto: Houghton
Mifflin, 1990.
* Elander, James E. Geometry for Decision Making: Enrichment Activities. Cincinnati: South-
Western Publishing Co., 1992.
***Each day in the unit plan represents one section in the chapter. The activity may run over to a
second day, but should not exceed a day and a half
Daily Activities: