This lesson is designed to introduce students to the idea of finding patterns in the generation of several different types of fractals. This lesson provides links to discussions and activities related to patterns and fractals as well as suggested ways to work them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one.


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Update Standards?

CCSS.Math.Content.4.OA.C.5: Common Core State Standards for Mathematics

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.

CCSS.Math.Content.5.OA.B.3: Common Core State Standards for Mathematics

Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.

CCSS.Math.Content.HSG-CO.D.12: Common Core State Standards for Mathematics

Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

CCSS.Math.Content.HSG-SRT.A.1: Common Core State Standards for Mathematics

Verify experimentally the properties of dilations given by a center and a scale factor:

CCSS.Math.Content.HSG-SRT.B.5: Common Core State Standards for Mathematics

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
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