This learning progression will be taught in a high school sophomore geometry classroom. Prior to this learning progression, students will have been introduced to basic geometric shapes. Students will be familiar with much of the vocabulary surrounding this lesson. They will know the definitions of each of the following terms: line, line segment, ray, quadrant, angle, etc. This particular learning segment will introduce students to rigid transformations within the plane. This learning progression will begin be students learning the concepts and procedures necessary to complete each of the rigid transformations: translations, reflections, and rotations. Following each of these lessons, students will learn how to combine transformations and whether or not the order of transformations matters. The final lesson of the progression will assess whether or not students can perform compositional transformations on a figure. The order of the progression will allow students to build on their knowledge of geometric vocabulary and previous lessons. This progression will provide students with new conceptual understanding and will prepare them for future learning segments.
This learning segment will adhere to the following common core cluster:
CCSS.MATH.CONTENT.HSG.CO.A.3
Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
CCSS.MATH.CONTENT.HSG.CO.A.4
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
CCSS.MATH.CONTENT.
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