Aligned Resources

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

Demonstrates the connections between formulas, graphs and words.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Modeling, Statistics

Related Topics: acceleration, algebra, cartesian coordinate, concave, constant, coordinate, coordinate plane, coordinate system, distance, functions, graph, intervals, linear equations, linear functions, lines, parabola, slope, time, velocity

Determine the fractal dimensions of several line-deformation fractals. Input the scale factor and number of similar copies, and the dimension will be calculated. Fractal Dimensions is one of the Interactivate assessment explorers.

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

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: chaos, fractals, logarithm, pattern, scale, self-similarity

Similar to other "flyers", Slope Slider uses slider bars to explore the effect of the multiplier and constant on a linear function of the form f(x)=mx+b. Explore the relationship between slope and intercept in the Cartesian coordinate system.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Graphs

Related Topics: algebra, cartesian coordinate, coordinate plane, decimals, flyer, fractions, function properties, functions, graph, intercept, linear equations, linear functions, slides, slope

Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.

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

Primary Subjects: Algebra, Geometry, Graphs, Number and Operations

Related Topics: complex number, coordinate plane, coordinate system, exponents, fractals, functions, graph, infinity, iteration, julia set, mandelbrot set, recursion, recursive functions, sets