1. Number of Instructional Days: 13

2.  Standards: Congruence G-CO  Experiment with transformations in the plane  G-CO.2Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).  G-CO.3Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.  G-CO.4Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.  G-CO.5Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

3.  Model with Mathematics  Use Appropriate Tools Strategically  Attend to Precision  Look for and Make Use of Structure

4.  Where would your understanding of transformations be helpful in the real world?  Why is it important to know the definitions of angle, parallel lines, and perpendicular bisector when discussing rotations, translations, and reflections?  What is the connection between coordinate notation and a verbal description of a transformation?

6.  Is a function that changes the position, shape, and/or size of a figure  Preimage : is the starting position  Image: is the end position  In these examples, the preimage is green and the image is pink

7.  Is a transformation that has an image congruent to the preimage.  This means all angles measures and side lengths are preserved (remain the same.)  Also known as rigid transformations