In this complex variable worksheet, students use functional iteration to find the fixed points of a function. This two-page worksheet explains the functional iteration, the Julia Set and the Mandelbrot set. Four problems are included.

There are a billion reasons to use the resource! Well, not quite. A demonstration using food color and water shows scholars the meaning of nano. An iterative process results in diluting the concentration of food coloring by one tenth...

Young scholars identify the end behavior of polynomial graphs. In this algebra instructional activity, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of...

Students use a spreadsheet to investigate data. In this algebra lesson, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.

Students solve exponential functions and inequalities. In this algebra lesson, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of exponents.

Students examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Students practice determining the starting values to use in order to produce a desired sequence.

Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.

Students use a given spreadsheet to investigate an iterative process by changing the variables. They design their own spreadsheet to investigate the iterative process.

Learners investigate concept of matrices through iteration in this probability lesson. They investigate probability by creating a lesson based on a famous painting. This assignment contains extensions to the...

Middle schoolers build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by...

Students experiment with several chaotic simulation, they build a working definition of chaos. Students reinforce their knowledge of basic probability and percents. They are reminded of previous knowledge that is pertinent to this...

Students study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.

In this math worksheet, students examine the concepts of generalizing root-finding algorithms and fixed point iteration. They also practice using the Fixed Point Theorem.

In this numerical analysis worksheet, students plot functions, predict the number of iterations, and identify the convergence criteria of the function. This two-page worksheet contains eight problems.

Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.

High schoolers use the Internet to answer lab questions about fractals, and then construct fractals using the initial stage and iteration rule. They complete tables and generate rules for the "nth" term and create their own fractals.

How can you model exponential decay? Explore different situations involving exponential decay functions and decreasing linear functions by performing activities with MandM candy, popcorn kernels, and number cubes.

In this linear equation instructional activity, students compare methods to solve linear equations. This four-page instructional activity contains approximately five questions.

In this rates of convergence instructional activity, students explore examples of linear, superlinear and quadratic convergence of sequences. They solve six problems involving sequence converges. This two-page instructional activity...

In this interactive method worksheet, students use several methods to solve iterations and generate solutions for the function. This four-page worksheet contains approximately ten problems.

Guiding learners through two variable (complex) functions, this worksheet helps them perform complex arithmetic on 6 expressions. They iterate several functions with given starting points, determining whether each is a prisoner, escapee,...

Enough with the talking, let's build something! In the fifth step in the engineering design process, young engineers build a prototype to test their ideas. The activity walks them through the process of evaluating it step-by-step....

Pairs build a device that will be able to send a binary message. They then update their device to allow it to send four possible messages before upping the ante to eight. The provided self-assessment rubric comes with reflection...

"Humans have become a geologic agent comparable to erosion and [volcanic] eruptions ..." Paul J. Crutzen, a Nobel Prize-winning atmospheric chemist. Using Landsat imagery, scholars create a grid showing land use type, such as urban,...