Evidence of Student Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Attainment/Assessment Students: Dilations Students know: Students understand/are able EEG-SRT.1-3. N/A (See EEG-CO.6-8.) Given a center of dilation, a to: scale factor, and a polygonal Center Methods for finding the length image, of line segments (both in a Accurately create a new image Scale factor coordinate plane and through from a center of dilation, a Create a new image by measurement), scale factor, and an image, extending a line segment from the center of dilation through Dilations may be performed on Accurately find the length of each vertex of the original polygons by drawing lines line segments and ratios of line figure by the scale factor to through the center of dilation segments, find each new vertex, and each vertex of the polygon then marking off a line segment Communicate with logical Present a convincing argument changed from the original by the reasoning a conjecture of that line segments created by scale factor. generalization from the dilation are parallel to their experimental results. pre-images unless they pass through the center of dilation, A dilation uses a center and in which case they remain on line segments through vertex the same line, points to create an image which is similar to the original Find the ratio of the length of image but in a ratio specified the line segment from the by the scale factor, center of dilation to each vertex in the new image and The ratio of the line segment the corresponding segment in formed from the center of the original image and dilation to a vertex in the new compare that ratio to the scale image and the corresponding factor, vertex in the original image is equal to the scale factor. Conjecture a generalization of these results for all dilations.
Evidence of Student Attainment/Assessment Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Students: Given a center of dilation, a scale factor, and a polygonal image, Create a new image by extending a line segment from the center of dilation through each vertex of the original figure by the scale factor to find each new vertex, Present a convincing argument that line segments created by the dilation are parallel to their pre-images unless they pass through the center of dilation, in which case they remain on the same line, Find the ratio of the length of the line segment from the center of dilation to each vertex in the new image and the corresponding segment in the original image and compare that ratio to the scale factor, Conjecture a generalization of these results for all dilations. Dilations Center Scale factor Students know: Methods for finding the length of line segments (both in a coordinate plane and through measurement), Dilations may be performed on polygons by drawing lines through the center of dilation and each vertex of the polygon then marking off a line segment changed from the original by the scale factor. Students understand/are able to: Accurately create a new image from a center of dilation, a scale factor, and an image, Accurately find the length of line segments and ratios of line segments, Communicate with logical reasoning a conjecture of generalization from experimental results. A dilation uses a center and line segments through vertex points to create an image which is similar to the original image but in a ratio specified by the scale factor, The ratio of the line segment formed from the center of dilation to a vertex in the new image and the corresponding vertex in the original image is equal to the scale factor. EEG-SRT.1-3. N/A (See EEG-CO.6-8.)
Geometry-Pacing-Guide-Version-3.docx