Aligned Resources

Outlines the approach to playing the chaos game and how it relates to geometric fractals.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Geometry, Number and Operations, Probability

Related Topics: chaos, experimental probability, fractals, fractions, geometric probability, infinity, iteration, outcomes, pattern, percents, probability, probability simulation, random number, recursion, self-similarity, theoretical probability, triangle

Explores lines, planes, angles, and polygons in tessellations.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: angles, area, flips, geometry, glides, hexagon, length, lines, pattern, perimeter, planes, polygon, rectangles, reflections, regular, rotation, slides, squares, symmetry, tessellations, triangle

Introduces students to the ideas involved in understanding fractals.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: area, distance, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, multiplication, pattern, percents, perimeter, recursion, scale, segment, self-similarity, sequences, sets

Looks at how irregular fractals can be generated and how they fit into computer graphics.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: chaos, dimension, fractals, geometric sequences, geometry, iteration, logarithm, pattern, planes, polygon, recursion, scale, self-similarity, symmetry

Introduces students to lines, rays, line segments, and planes.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Geometry

Related Topics: algebra, axis, coordinate plane, coordinate system, functions, geometry, graph, infinity, lines, number line, planes, rays, segment

Introduces students to the idea of finding number patterns in the generation of several different types of fractals.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: area, arithmetic, chaos, decimals, dimension, fractals, fractions, geometric sequences, geometry, graph, iteration, length, lines, pattern, pythagorean theorem, rectangles, recursion, segment, self-similarity, sequences, surface area, symmetry, triangle

A capstone lesson to allow students to build a working definition of fractal.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: area, chaos, dimension, distance, experimental probability, exponents, fractals, fractions, generator, geometric probability, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, logarithm, multiplication, outcomes, pattern, percents, perimeter, probability, random number, recursion, scale, segment, self-similarity, sequences, sets, theoretical probability, triangle

Students learn how the Pythagorean Theorem works and how to apply it.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Geometry, Trigonometry

Related Topics: algebra, angles, area, arithmetic, cartesian coordinate, coordinate plane, distance, exponents, geometry, hypotenuse, length, perimeter, pythagorean theorem, right angle, slides, solving equations, squares, triangles, trigonometry

Examines plane symmetry.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: angles, area, geometry, glides, hexagon, illusion, length, pattern, planes, polygon, rectangles, reflections, regular, rotation, segment, squares, symmetry, tessellations, transformation, translation, triangle

Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: chaos, complex number, coordinate, coordinate plane, coordinate system, division, escape, exponents, fractals, functions, geometric sequences, geometry, infinity, iteration, julia set, mandelbrot set, multiplication, pattern, planes, prisoner, radius, recursion, recursive functions, self-similarity, sets, symmetry

Explore the mathematical nature of art and tilings and looks at the role of math in nature and our culture.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: angles, area, contrast, geometry, glides, graph, hexagon, hue, illusion, length, lines, pattern, planes, polygon, rectangles, reflections, regular, rotation, segment, squares, symmetry, tessellations, transformation, translation, triangle, value

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.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry, Graphs

Related Topics: cartesian coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, hexagon, image, polygon, pre-image, reflections, rotation, symmetry, transformation, translation, transpose, triangle