Outline

# BCME D20 Solve a Quadratic Equation Visually?

D20 - How Many Ways Can You Solve a Quadratic Equation Visually? From the Greeks to 21st Century Technology
Links: http://users.humboldt.edu/flashman/Presentations/BCME/BCME.LINKS.html
Understanding a quadratic equation and finding its solutions (roots) is a challenging part of the curriculum where students encounter a rich domain of mathematics - including geometry, numbers (real and complex), and functions.
Visualizing the solution of these equations is a valuable tool for meeting this challenge at any level.
Starting with the Greek, Hindu, and Islamic representation of the problem connected to finding areas and squares, participants will take a hands on tour through various visualizations including connections to graphs and mapping diagrams and concluding with recent work on visualizing complex functions with 3D mapping diagrams using Geogebra.

## Table of Contents

### Introduction: Some Ancient History

### Cartesian Geometry; Graphs and Function Approaches

### Mapping Diagrams for Quadratic Equations

- Mapping Diagram, Spreadsheet, Graph, Realign, Focus
- Mapping (Function) Diagrams to Visualize and Make Sense of Solving Linear and Quadratic Equations
- Table and Mapping Diagram for A Complex Linear Function
- Complex Variable Function Mapping Diagrams and Solving Real and Complex Quadratic Equations
- Mapping Diagrams for Complex Quadratic Functions & Equations