Unpacked Content
Knowledge
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.
Skills
Students 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.
Understanding
Students understand that:
- 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.
Vocabulary
- Dilations
- Center
- Scale factor
