Transformations in the
STUDY GUIDE - UNIT 5
Overview and Unit Standards
or Troup County Version
MCC9-12.G.CO.1 Know precise definitions of angle,
circle, perpendicular line, parallel line, and line segment, based on
the undefined notions of point, line, distance along a line, and
distance around a circular arc.
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).
MCC9-12.G.CO.3 Given a
rectangle, parallelogram, trapezoid, or regular polygon, describe the
rotations and reflections that carry it onto itself.
definitions of rotations, reflections, and translations in terms of
angles, circles, perpendicular lines, parallel lines, and line
MCC9-12.G.CO.5 Given 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.
Prerequisites: As identified by the
It is expected that
students will have prior knowledge/experience related to the concepts and
skills identified below. It may be necessary to pre-assess in order to
determine if time needs to be spent on conceptual activities that help
students develop a deeper understanding of these ideas.
plotting points on a
- congruence of geometric
figures and the correspondence of their vertices, sides, and angles
recognizing line and
interpreting and sketching
views from different perspectives
calculate the perimeter and
area of fundamental geometric plane figures
use the concepts of ratio,
proportion, and scale factor to demonstrate the relationships between
similar plane figures
Unit Length: 15-20 days
Unit Essential Questions:
What are the undefined
terms essential to any study of geometry?
Does location in a plane matter?
How do you determine the type of transformation that has occurred?
Does a transformation change an object's position and/or size?
How do we define and create geometric transformations?
How does the transformation of a geometric figure and a function
What effects do transformations have on
Which tansformations create
How do we know which transformations have
created the mapping of an image?
How can a reflection
be loke a rotation?
How can the coordinate plane help
me understand properties of reflections, translations, and rotations?
What is the relationship between reflections, translations, and
Unit Vocabulary and Symbols:
in the Coordinate Plane
State recommended resources:
Resources by Concept: (click on a
Experiment with transformations in the plane.
Discovering Geometry, 2.1, 2.4, 4.2, 4.4, 7.1, 7.5-7.7, 8.1
America's Choice, Math I, Geometry Gallery, Lesson 3
ABC Passing the GA Geometry EOCT (ISBN 1-59807-071-7)
1.1-1.10, 3.4, 9.1-9.6
Holt, Algebra 1, 5.6
Patty Paper Geometry, Investigation Set 9
McDougal Passports to Alg and Geometry (ISBN 0-395-87988-4)
How the state recommends that
we use the TASKS
|These tasks were taken from the
CCGPS Frameworks. The tasks cover multiple standards and may be
used as teaching strategies or as culminating activities.
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