Lesson plan

Verify that a line and its dilation are parallel by comparing the slopes

teaches Common Core State Standards CCSS.Math.Content.HSG-SRT.A.1 http://corestandards.org/Math/Content/HSG/SRT/A/1
teaches Common Core State Standards CCSS.Math.Content.HSG-SRT.A.1a http://corestandards.org/Math/Content/HSG/SRT/A/1/a
teaches Common Core State Standards CCSS.Math.Content.HSG-SRT.A.1b http://corestandards.org/Math/Content/HSG/SRT/A/1/b
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Big Ideas: A dilation of a line is parallel to the line. A dilation can enlarge or reduce a figure or allow it to remain the same size. The tasks in this lesson require students to dilate a line, given a scale factor and center of dilation, and recognize that the image will be parallel to the pre-image. Students will use prior knowledge of slopes and the equations of lines to show that the lines are parallel. This lesson sets the stage for similarity. Vocabulary: Similarity Dilate Scale Factor Center of Dilation Proportionality Pre-Image Image Prime, Double Prime, etc. D k(x, y) = (kx, ky) Special Materials: Graph paper Rulers