Lesson plan

Identify self-similar figures by using the properties of similarity

teaches Common Core State Standards CCSS.Math.Content.8.G.A.4 http://corestandards.org/Math/Content/8/G/A/4
teaches Common Core State Standards CCSS.Math.Content.8.G.A.5 http://corestandards.org/Math/Content/8/G/A/5

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Big Ideas: A shape is considered 'self-similar' if the smaller shapes that make it up are similar to the larger, original shape. Self-similar shapes can be created using a series of transformations. This lesson builds on students' knowledge of similarity. Students are presented with the task of analyzing the Sierpinski Triangle, a famous fractal in mathematics. Students will use what they know about similarity to prove that each of the smaller triangles that make up the Sierpinski Triangle are similar to the largest triangle. This property makes the fractal 'self-similar.' Students will think about what transformations we could use to create a fractal or self-similar shape. Vocabulary: fractal, self-similar