Lesson plan

Create a dilation by drawing and measuring rays

teaches Common Core State Standards CCSS.Math.Content.8.G.A.3 http://corestandards.org/Math/Content/8/G/A/3

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Big Ideas: A dilation is a transformation that moves points a specific distance determined by the scale factor, r. The scale factor and center of a dilation determine the coordinates of the image on the coordinate plane. This lesson builds on students' knowledge of scale drawings and introduces students to the concept of dilations. Students are presented with the task of dilating floor plans. Students will begin by using the definition of dilation and drawing and measuring rays from the center point through the pre-image. Students will also do this on a coordinate grid with center (0, 0) and analyze the coordinates in order to find the relationship between the coordinates of the pre-image and image, and the scale factor. Vocabulary: dilation, center, scale factor Special Materials: rulers