Geometry Unit 5

Big Idea:

Describe and analyze transformations using images in the coordinate plane.

Student Expectations:

Focus TEKS

G.3(A) [Supporting] describe and perform transformations of figures in a plane using coordinate notation

G.3(B) [Readiness] determine the image or pre-image of a given two-dimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane

G.3(C) [Supporting] identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane

G.3(D) [Supporting] identify and distinguish between reflectional and rotational symmetry in a plane figure

G.6(C) [Supporting] apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles

Ongoing TEKS

G.6(A) [Readiness] verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems

Student Learning Targets:

• I will perform rigid transformations on and off the coordinate plane.
• I will describe a transformation or combination of transformations
• I will analyze the effect of rigid transformations on a figure.
• I will identify reflectional and rotational symmetry in plane figures.
• I will find the image of a figure under a composition of rigid transformations.
• I will find the preimage of a figure resulting from a composition of rigid transformations.
• I will specify a sequence of rigid transformations that will carry a given figure to a congruent figure.

Essential Questions:

• How do the properties of transformations help me understand the structures of the world around me?

Extra Information:

Adopted Textbook: Springboard - Geometry Texas Edition

District Grading Policy

Texas Gateway Online Resource Center