This learning progression is for a High School Geometry class. The Common Core State Standard (CCSS) domain and cluster for this learning progression is: CCSS.MATH.CONTENT.HSG.SRT.A. There are two standards that the students will be learning: HSG.SRT.A.1 and HSG.SRT.A.2. The math practices (MP) that will be used by students during this progression will be MP1, MP3, and MP5.
The textbook used in the class is McDougall Littell’s Geometry 10th edition. In teaching this learning progressions, we assume that students have a strong grasp of previous concepts required for learning similarity transformations. These concepts are HSG.CO.A.1, HSG.CO.A.2, HSG.CO.A.5, HSG.CO.B.6, and HSG.CO.C.9.
CCSS.MATH.CONTENT.HSG.SRT.A
Understand similarity in terms of similarity transformations
HSG.SRT.A.1
Verify experimentally the properties of dilations given by a center and a scale factor:
HSG.SRT.A.1.A
A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
HSG.SRT.A.1.B
The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
HSG.SRT.A.2
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
Read the whole learning progression here: Dilation Learning Progression