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North Carolina Standard Course of Study: Geometry
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North Carolina Standard Course of Study
Geometry
Data Analysis and Probability:
Competency Goal 3: The learner will transform geometric figures in the coordinate plane algebraically.
Calculating...
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Fractals and the Chaos Game
Lesson:
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
Geometry in Tessellations
Lesson:
Explores lines, planes, angles, and polygons in tessellations.
Introduction to Fractals: Infinity, Self-Similarity and Recursion
Lesson:
Introduces students to the ideas involved in understanding fractals.
Irregular Fractals
Lesson:
Looks at how irregular fractals can be generated and how they fit into computer graphics.
Lines, Rays, Line Segments, and Planes
Lesson:
Introduces students to lines, rays, line segments, and planes.
Patterns in Fractals
Lesson:
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Properties of Fractals
Lesson:
A capstone lesson to allow students to build a working definition of fractal.
Pythagorean Theorem
Lesson:
Students learn how the Pythagorean Theorem works and how to apply it.
Tessellations: Geometry and Symmetry
Lesson:
Examines plane symmetry.
The Mandelbrot Set
Lesson:
Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
Visual Patterns in Tessellations
Lesson:
Explore the mathematical nature of art and tilings and looks at the role of math in nature and our culture.
Activity
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Transmographer
Activity:
Explore the world of translations, reflections, and rotations in the Cartesian coordinate system by transforming squares, triangles and parallelograms. Parameters: Shape, x or y translation, x or y reflection, angle of rotation.
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