BEST GRAPHING SOFTWARE FOR THE CLASSROOM

Tori Rynders WHAT IS ?

• Math software and programming language

• It performs a variety of different operations from any branch of

• One single document HISTORY OF MAPLE

• Created in November 1980 by a group of researchers at the University of Waterloo who were looking into purchasing a super computer

• Maple 1.0 was first shown at conferences in 1982

• Public release in March 1985

• Total of 57 versions HOW TO USE MAPLE

1. Create new worksheet

2. Begin Working HOW TO GRAPH 3D OBJECTS: PLOT3D

• plot3d(equations, parameters)

• Example: • plot3d(sin(x)cos(y),x=-3..3,y=-3..3) HOW TO GRAPH 3D OBJECTS: PLOT TOOLS

• Example: • with(plottools): • T:=polygon([[0, 0], [2, 1], [3, 1], [4, 1]]) • display(prism(T)) MULTIPLE SHAPES ON ONE GRAPH

• Add a comma and second equation inside the brackets

• Change color to see clearer

• Example: • plot3d([cos(x)-2*cos(.4*x), sin(x)], x = -10 .. 10, shading = [DEFAULT, ZGRAYSCALE]) WHAT IS GEOGEBRA?

• Online mathematics software

• Intended for geometry, , , and applications

• Designed with a calculator, graph, and workspace on screen HISTORY OF GEOGEBRA

• Created by Markus Hohenwarter in 2002

• Received several awards and was translated into 25 languages

• In 2006, became free to the public in the United States

• Development continues.. HOW TO USE GEOGEBRA

• Go to geogebra.org

• Login/Sign up

• Click “3D Calculator” HOW TO GRAPH 3D OBJECTS: EQUATIONS

• Type the equation into the workspace

• Example: �! + �! + �! = 3 HOW TO GRAPH 3D OBJECTS: TOOLS

• Click the “Tools” button • Select Specific tools HOW TO GRAPH 3D OBJECTS: TOOLS

• Example: Sphere

• Select “Sphere: Center & Point” in the tools menu

• Pick center point

• Drag mouse to determine radius MULTIPLE SHAPES ON ONE GRAPH

• In the workspace to the left, type a new equation in a separate input space

• Coexist in the same plane WHAT IS SAGEMATH?

• “System for Algebra and Geometry Experimentation”

• Online open-source

• Designed with a notebook as the user interface HISTORY OF SAGEMATH

• Developed by William Stein to combine many software packages into a common place

• First version released in February 2005

• Releases new updates every few weeks or months HOW TO GRAPH 3D OBJECTS

• Go to sagemath.org

• Select “CoCalc (SageMathCloud)”

• Create account/sign in

• Select “Create New Project” and give it a title HOW TO GRAPH 3D OBJECTS

• Select ”Create/Upload Files”

• Select “Sage Worksheet” to create new worksheet HOW TO GRAPH 3D OBJECTS

• Select the drop down menu, “Plots”

• Select “Function”

• Write in the function you want

• Hit “Run” HOW TO GRAPH 3D OBJECTS

• Example: • %var x y • plot3d(x * sin(y), (x, -5, 5), (y, -5, 5)) DISADVANTAGES

• Maple • SageMath • Expensive • Students will need to know • Need a harddrive to save Python work

ADVANTAGES

• Geogebra • Free • Saves to the cloud • Easy to learn