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# Self-Similarity

One part of an object can be enlarged or shrunk to look like the whole object.
Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.

## Self-Similarity

This concept introduces students to self-similarity and presents several common examples of self-similarity.

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• Video

## Self Similarity Principles

This video gives more detail about the mathematical principles presented in Self Similarity.

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• Video

## Self Similarity Examples

This video shows how to work step-by-step through one or more of the examples in Self Similarity.

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• Video

## Sierpinski Triangle

Shows how to draw Sierpinski Triangle and interesting properties of fractals.

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• Practice
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## Self-Similarity Practice

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• Critical Thinking

## Self-Similarity Discussion Questions

A list of student-submitted discussion questions for Self-Similarity.

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To activate prior knowledge, to generate questions about a given topic, and to organize knowledge using a KWL Chart.

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To activate prior knowledge, to generate questions about a given topic, and to organize knowledge using a KWL Chart.

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## Self-Similarity Stop and Jot Table

Learn new vocabulary words and help remember them by coming up with your own sentences with the new words using a Stop and Jot table.

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• Real World Application

## Fractals Everywhere

Discover the geometry behind fractal patterns, examples of which you can find everywhere in nature.

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• Real World Application

## Self Similarity

Can we find order in patterns that seem random and complicated?

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• Study Guide