Topic #1 Experiment with Transformations in the Cluster Note: Build on student experience with rigid motions from earlier grades. Point out the basis of rigid motions in geometric concepts, e.g., translations move points a specified distance along a line parallel to a specified line; rotations move objects along a circular arc with a specified center through a specified angle. G.CO.2 Standard to Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as Address functions that take points in the plane as inputs and give other points as outputs. Compare transformations that 1 preserve distance and angle to those that do not (e.g., translation versus horizontal stretch) The standard listed to G.CO.1 the should be Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, used to help develop distance along a line, and distance around a circular arc. G.CO.2 G.CO.3 Major Standard to Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto Address 1 itself. Standard to G.CO.4 Address Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel Topic 1 lines, and line segments. G.CO.1 The standard listed to the right should be Know precise definitions of circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, used to help develop distance along a line, and distance around a circular arc. G.CO.4 G.CO.5 Standard to Address Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, Topic 1 tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. Unit 1:Congruence, and Constructions Topic #2 Understand Congruence in Terms of Rigid Motions Cluster Note:
Topic #1 Experiment with Transformations in the Cluster Note: Build on student experience with rigid motions from earlier grades. Point out the basis of rigid motions in geometric concepts, e.g., translations move points a specified distance along a line parallel to a specified line; rotations move objects along a circular arc with a specified center through a specified angle. Standard to Address 1 G.CO.2 Represent 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) The standard listed to the should be used to help develop G.CO.2 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. Major Standard to Address 1 G.CO.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. Standard to Address Topic 1 G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. The standard listed to the right should be used to help develop G.CO.4 G.CO.1 Know precise definitions of 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. Standard to Address Topic 1 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. Unit 1:Congruence, and Constructions Topic #2 Understand Congruence in Terms of Rigid Motions Cluster Note: