## Transformational Geometry Unit

##### by

### Robyn Bryant, Kaycie Maddox, and Kelli Nipper

This unit is intended to guide students through the study of transformational
geometry of isometries using Geometer's SketchPad as the major tool for
investigation and production. Students should work through each day's assignment,
printing their results for teacher approval. After the investigations and
productions have been performed, students will be asked to take a final
assessment that will require them to use all that they have learned about
transformations of isometries. Homework assignments each day will be answered
in a journal that students must keep to write about the processes they have
experienced and the discoveries they have made.

**Day 1: Introduction to Transformations**

Each student will begin to experiement with translations, rotations,
and reflections.

**Day 2: Properties of Translations**

Each student will explore the various properties of translations, using
distance and angles as well as vectors.

**Day 3: Properties of Reflections**

Each student will explore the properties of reflections.

**Day 4: Reflections in the Coordinate Plane**

Each student will explore reflections of pre-images found in the coordinate
plane across given lines of reflection.

**Day 5: Reflections Across Two Lines**

Each student will explore reflections across two lines-those that intersect
at oblique angles, at right angles, and not at all.

**Day 6: Glide Reflections**

Each student will explore glide reflections and the properties of them.

**Day 7: Poolroom Math**

Every student will explore the transformations involved in the game of
pool.

**Day 8: Symmetry in Regular Polygons**

Each student will explore the symmetries found in regular polygons.

**Day 9: Final Assessment-Part 1**

Each student will have the opportunity to practice the lessons learned
in transformational geometry by playing a game to move objects to a desired
location through translations, reflections, rotations, and glide reflections.

**Day10: Final Assessment-Part 2**

Each student will have the opportunity to finish the transformational
geometry game begun on Day 9 of the transformational geometry unit.

**Return**