Interactivate: Standard Expectation

3 items total

Organization: Virginia Standards of Learning
Grade Band: Secondary
Standard Goal: Algebra II

The student will perform operations on complex numbers and express the results in simplest form. Simplifying results will involve using patterns of the powers of i.

Introduction to Functions	Lesson: Introduces the basic ideas needed for understanding functions.
The Mandelbrot Set	Lesson: Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
Two Variable Function Pump	Activity: 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.