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Lesson Plan

Determine whether two figures are similar by using a sequence of transformations

teaches Common Core State Standards CCSS.Math.Content.8.G.A.3 http://corestandards.org/Math/Content/8/G/A/3
teaches Common Core State Standards CCSS.Math.Content.8.G.A.4 http://corestandards.org/Math/Content/8/G/A/4
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Big Ideas: Objects in space can be transformed in an infinite number of ways, and those transformations can be described and analyzed mathematically. The difference between similar and congruent figures is the scale of the figures. There are multiple pathways to get from a figure to its image using a variety of combinations of transformations. This lesson builds on students' knowledge of transformations and similarity. Students are presented with the task of changing a floor plan using a sequence of transformations. Students will need to determine the coordinates of the image after each sequence of transformations and identify which figures are similar and/or congruent. Students will come up with a conjecture about the connection between dilations and similarity.
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