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From GeoGebraWiki

This is the main page of free teaching materials created with GeoGebra. The structure here is close to the US school system, but we also have an overview page for UK schools. If you also have created nice materials, please share them with us! See the GeoGebraWiki Help to find out how to add your own materials to the GeoGebraWiki.

Contents 1 Information about new Version 3.2 2 Mathematics: Elementary School 2.1 Measurement & Geometry 2.2 Number Sense 3 Mathematics: Middle School 3.1 Algebra 3.2 Geometry 3.3 Functions 4 Mathematics: High School 4.1 Geometry 4.2 Algebra & Pre-Calculus 4.3 Calculus 4.4 Discrete Mathematics 4.5 Probability and Statistics 4.6 Geography 4.7 Music 5 Math: College 5.1 3D Geometry & Vectors 5.2 Geometry 5.3 Complex Numbers 5.4 Real Analysis 5.5 Differential Equations 5.6 Linear Algebra 5.7 Linear Programming 5.8 Statistics 6 Physical Sciences 6.1 General Physics 6.2 Electronics 6.3 Astronomy 6.4 Robotics 7 Financial Mathematics 8 Recreational Mathematics 8.1 Music 8.2 Art 8.3 Games & Puzzles 8.4 Miscellaneous 9 Theory and Practice 10 LaTeX 11 Other Support Materials 12 Other Sites 13 e-learning to Calculus 14 UK curriculum materials

Information about new Version 3.2

• New Features
• List of Keyboard Shortcuts

Mathematics: Elementary School

Measurement & Geometry

• Measuring Length
• Measuring Angles
• Perimeters & Areas of Rectangles
• Symmetry & Congruence

Number Sense

• Absolute Value
• Addition
• Fractions, Decimals, Percentages

Mathematics: Middle School

Algebra

• Integers
• Fractions
• Linear Equations
• Coordinate System
• Proportions
• Algebra tiles

Geometry

• Angles
• Triangles
• Pythagoras
• Area Formulas
• Volume & Surface Area
• Transformations
• Symmetry

see also Investigating Geometry with GeoGebra, Henrico County Public Schools

Functions

• How b depends on a? An educational game that connects functions, geometry and algebra.

• What's my function A game where two students create function equations and try to guess what the other did based on graphs, and tables of values.

• M&M Radioactive Decay Activity This applet allows students to discover exponential functions and exponential fit using the half life of radioactive elements (or in our case, M&Ms). Using this worksheet, M&M Radioactive Decay Worksheet students compare exponential fit with a line of best fit. This activity integrates middle school math and science into one fun activity.

Mathematics: High School

Geometry

Area and Perimeter of Inscribed Polygons Worksheet Corresponding to "Area and Perimeter of Inscribed Polyons" activity above

• Circles
  • Circle Basics
  • Circle's equation
  • Circles (Angles)
  • Angle Properties of Circles - Tangents to External Point
  • Circles (Segments)
  • Degrees of Arcs and Angles, Length of Segments in Circles
  • Antipodal Points (circles and spheres) All Math Words Encyclopedia Encyclopedic entry on antipodal points with interactive geogebra apps. By David McAdams
  • Apothem (circle) All Math Words Encyclopedia Encyclopedic entry on apothem with representations in GeoGebra applications. By David McAdams
  • Arc (length) All Math Words Encyclopedia Encyclopedic entry on arc with representation of how to calculate an arc length of a circle in a GeoGebra application. By David McAdams
• Archimedes Frisbee
• Geometry Theorems
• Bezier Curves
• Polygons (Triangles, Quadrilaterals, ...)
  • Special Centers of Triangles
  • Special Triangles
  • Square Inscribed within Triangle
  • Triangle Congruence
  • Proof about Congruent Angles
  • Curry's Triangle
  • Triangles and Parallelograms
  • Quadrilaterals
  • Apothem (polygon) All Math Words Encyclopedia Encyclopedic entry on apothem with representations in GeoGebra applications. By David McAdams
• Sector Simulation
• Dilations
• Geometry Mathlets for Exeter Math 2
• Simple Constructions
• The golden ratio
• Reuleaux Rotors
• How to drill a square hole

Algebra & Pre-Calculus

• Algebra tiles
• Bézier Curves and Splines
• Conic Sections
• Domain and Range
• Graph of Absolute Value Equations
• Inverse Functions
• Lamé Curves
• Linear Equations
  • Graph of Linear Equations
  • Graph of Linear Inequalities
  • Slope as a Rate of Change
  • System of Linear Equations
• Matrix Transformations
• Motion in a Straight Line : Displacement as a function of time
• Parametric Functions
• Polynomial Functions
  • Quadratic Equations
• Self-Assess Algebra Review
• Trigonometry

The next two entries should be worked into the Linear Equations section

• [Perpendicular and Parallel Lines]
• [Perpendicular and Parallel Lines Worksheet]

Calculus

• Continuity
• Derivative
• Integral
• Taylor Polynomial

Discrete Mathematics

• Discrete

Probability and Statistics

• box-and-whisker plots, Leola Schultz
• Beta distributions, Michael Horvath

Geography

• Geodetic Latitude, Michael Horvath

Music

• Frequency Doubling, Michael Horvath

Math: College

3D Geometry & Vectors

• 3D in Geogebra (worksheet demonstrating how to introduce a coordinate system allowing you to work with three dimensions in Geogebra)
• Vectors
• Lines and Planes in Space
• Vector Functions and Space Curves
• Lissajous figures, by Michael Horvath
• The harmonograph, related to Lissajous figures. Anaglyph figures use red and green glasses. While this is a radical way to see three dimensions, it is effective. (The worksheet can still be used for Lissajous figures by turning off one coloured line.)
• Metaballs: Sticky, gooey blobs, by Michael Horvath

Geometry

• Projective Geometry
• Dissections
• Symmetry Groups
• Convex Hexagon Tessellations

Complex Numbers

• Arithmetic of complex numbers
• Complex number files by Mike Shepperd
• Mobius transformations
• Several worksheets in complex analysis
• Complex Cubics
• Complex Powers of e
• Complex Cosine
• Complex Natural Logarithm
• Complex Tools
• Conics and Mobius Transformations
• The Mandelbrot Set

Real Analysis

• Continuity
• Formal graph (visualizing the formal graph of a function and of the composition of functions)

Differential Equations

• Fourier Series
• Slope Field

Linear Algebra

• 2x2 Linear Transformations

Linear Programming

• Linear Programming Graphical method

Statistics

• Virtual Manipulatives
• Statistical Activities in Geogebra ,by Allen Holmes
• transformations of data by Peter Benedict
• Helmert PDFs for showing bias in sample standard deviations by WCEvans

Physical Sciences

General Physics

• Activities in Physics with GeoGebra

• Physics with GeoGebra at Math247 or see Physics with GeoGebra

• Free Fall Experiment, Lingguo Bu, January 6, 2008

• Hanging Chain and the Catenary Function, Lingguo Bu, April 4, 2008

• Mirror problems: The physics and the math of how we see, Lingguo Bu, June 30, 2009

• Simple Pendulum with Variable Length, Amplitude, & Height

• Comparing Two Simple Pendulums

• Graphing the Sine Wave of a Simple Pendulum

• Simple Harmonic Motion, modelling on circular motion by Ian Wild

• Combinations of sine/cosine waves: beats by WCEvans

• Lissajous patterns/figures animation by WCEvans

• Projectile motion, with first-order air resistance option by WCEvans

• Projectile motion targeting, with "parabola of safety" by WCEvans

• Forces acting on an object on an inclined plane by WCEvans

• Vector addition using components by WCEvans

• A cart rolls down an inclined plane; a ball is projected upward, the cart "catches" it. by WCEvans

• A box is at rest at the top of a ramp; adjust the angle and coefficient of friction to make the cart move down the ramp. by WCEvans

• An object moves through a tunnel in the Earth. by WCEvans

• Applet to illustrate some "propagation of error" issues from a Wikipedia article. by WCEvans

• Acceleration All Math Words Encyclopedia Interactive page demonstrating the relationship between distance, velocity, and acceleration. By David McAdams

• Applet to illustrate some basic ideas in the limit of detection (LLD) / hypothesis test problem. by WCEvans

• Detection operating characteristic curve; use with LLD applet, above. by WCEvans

Electronics

• Electronics
• Colors in your computer monitor, by Michael Horvath

Astronomy

• An introduction to epicycles, by Jon Ingram
• Some problems in orbits using Geogebra,by Allen Holmes
• Kepler's laws of planetary motion, by Giora Mann, Nurit Zehavi and Guy Hed
  
  • The orbit of a planet and a worksheet.
    
  • Equal areas at equal times and a worksheet.

Robotics

• Animation of a simple LEGO Mindstorms NXT robot moving through 3 variable points by Peter Samuels

Financial Mathematics

• Financial Literacy

Recreational Mathematics

Music

• Chord and scale calculator, Michael Horvath

Art

• The Sri Yantra mandala, by Michael Horvath
• Animated growing circles, by Marc Renault, Jan 2010.
• Girih pattern Create your own patterns using a set of five tiles, by Tommy Nedbal
• Kaleidoscope Using GeoGebra, Lingguo Bu, 2009
• Symmetries in arts Created by Morten Misfeldt
• Hypnotic Geogebra, by Luca Frangella

Games & Puzzles

• How b depends on a? Andréa Lins e Lins Souza, Dirce Uesu Pesco and Humberto José Bortolossi.
• Triangle classification game. Thamiris Franckini Paiva and Humberto José Bortolossi.

• Geogebra Pool by Luca Frangella

Miscellaneous

• GeoGebra Clock di Luca Frangella It works! Press the play button!

• Another GeoGebra Clock Marc Renault, Feb 2010. Uses JavaScript to show the real time. Fully customizable.

Theory and Practice

• Psychology of Mathematics Learning
• Instructional Design
• Teacher Education
• Cross-Cultural Perspectives

LaTeX

• LaTeX Wikibook, A guide to the LaTeX markup language
• PStricks export, A guide for PStricks export

Other Support Materials

• Word Template Displays a toolbar with all GeoGebra buttons. Clicking inserts and aligns the corresponding button image in your text. Pedro Tytgat

Other Sites

• GeoGebra Tutorial Series — GeoGebra step-by-step tutorials created by Guillermo Bautista Jr. ranging Grade 7 through Grade 12 from Mathematics and Multimedia.

• A GeoGebra Tutorial — Geometric construction, algebra, calculus, using the input bar, exporting to a webpage, and more. All the basics of GeoGebra covered. By Marc Renault.

• GeoGebra resources in French — algebra,arithmetic, number sense, trigonometry, pre-calculus, calculus and Sciences physics with GeoGebra for primary schooland all levels( i am looking for translators)

• GeoGebra resources on math247 — Materials on algebra, number sense, trigonometry, pre-calculus, calculus and physics with GeoGebra
• UC MAT Technology — This is the Wiki for the 2008 University of Cincinnati MAT Technology summer course. The Department of Mathematical Sciences of the University of Cincinnati has offered a Master of Arts for Teachers of Mathematics (MAT) for over a quarter of a century. This program for high school teachers runs during the summer. The Technology course is charged with providing support for the Geometry course and Linear Algebra course (being run concurrently) as well as creating materials for other teachers to use. This support and materials will be in the form of Dynamic Worksheets. Here is the GeoGebra Wiki page for UC MAT Technology
• England: Comberton workshop
• PCMI 5 Minute Short
• EquationPlotter - Math Resources — An interactive maths site that uses GeoGebra. Topics include the graphs of functions, geometric objects, data and statistics, and surfaces and solids.
• GIOHIO Introductory GeoGebra Workshop and the GeoGebra Institute of Ohio
• Geometry for Secondary School Teachers (MTH 606) - Miami University, Oxford OH
• Ecamaths: collection of dynamic worksheets for different grade levels created by Mohamed Al Sayes, United Arab Emirates

e-learning to Calculus

• Herramienta docente del Departamento de Matemáticas - Interactive programs to learn Calculus. Level: middle-high. (Spanish)
• www.ecamaths.com - GeoGebra in United Arab Emirates

UK curriculum materials

• UK schools
• Plataforma e-learning de Matemáticas - Bachelor and university math level with free access. (Spanish)