Created on: April 28, 2015

Website Address: https://library.curriki.org/oer/Cluster--Experiment-with-transformations-in-the-plane

TABLE OF CONTENTS

- Unit 1 - Congruence, Proof, and Constructions
- Unit 2 - Similarity, Proof, and Trigonometry
- Unit 3 - Extending to Three Dimensions
- Unit 4 - Connecting Algebra and Geometry through Coordinates
- Unit 5 - Circles With and Without Coordinates
- Unit 6 - Applications of Probability

- Cluster - Experiment with transformations in the plane.
- Cluster - Understand congruence in terms of rigid motions.
- Cluster - Prove geometric theorems.
- Cluster - Make geometric constructions.

- Quiz - Congruence, Proof, and Constructions Cluster: Experiment with transformations in the plane: Standards: G.CO.1, G.CO.2, G.CO.3, G.CO.4, G.CO.5
- G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment
- G.CO.2 Represent transformations in the plane using, e.g., transparencies and geometry software
- G.CO.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
- G.CO.4 Develop definitions of rotations, reflections, and translations
- G.CO.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure

IN COLLECTION

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.

Standards: G.CO.1, G.CO.2, G.CO.3, G.CO.4, G.CO.5

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.

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)

Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

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