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Each of the 12 lessons in this book is relevant for either the Middle School, Algebra, Geometry, Algebra 2, Precalculus or Calculus. Although this book can be used as a stand-alone supplementary unit in many mathematics courses, its real strength lies in integrating it within the existing middle school and secondary mathematics curriculum by treating its contents as a contemporary strand of mathematics. For example, Lessons 1 - 6 incorporate many concepts from geometry, such as angles, triangles, congruence, similarity, and transformations. Lessons 9 and 10 deal with logarithms, and Lessons 11 and 12 are developed using geometric series--topics that are part of most second-year algebra programs. By integrating lessons, or even portions of lessons, from these units into your existing curriculum you can introduce students to an exciting and intriguing area of mathematics while building and reinforcing their mathematical thinking on traditional topics. Each lesson contains the following features: teacher notes, explanation, investigations, further exploration. Fractals focuses on showing how to generate these remarkable shapes using a variety of techniques. Topics include self-similarity, the chaos game (also showing variations of the game), understanding and calculating fractal dimension and the area and perimeter of fractals.
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