This is read-only version of the old wiki, feel free to browse it for materials. If you want to share your own materials, please use GeoGebraTube instead. You are also welcome to help us enhance the new wiki. If any questions arise, please contact the webmaster. |

## English

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.

## Information about new Version 3.2

## Mathematics: Elementary School

### Measurement & Geometry

### Number Sense

## Mathematics: Middle School

#### Algebra

#### Geometry

- Angles
- Triangles
- Pythagoras
- Area Formulas
- Volume & Surface Area
- Transformations
- Symmetry
- Construction with Forbidden Area

see also Investigating Geometry with GeoGebra, Henrico County Public Schools

- Geometry with GeoGebra Introduction
- Similar triangles student
- Similar shapes student
- Similar shapes teacher

#### 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

#### Statistics

## 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
- Triangle Properties
- Triangle Similarity
- Proof about Congruent Angles
- Curry's Triangle
- Triangles and Parallelograms
- Quadrilaterals
- Internal and External Angles of Polygons
- Apothem (polygon) All Math Words Encyclopedia Encyclopedic entry on apothem with representations in GeoGebra applications. By David McAdams
- Areas in Squares

- Sector Simulation
- Dilations
- Geometry Mathlets for Exeter Math 2
- Simple Constructions
- The golden ratio
- Reuleaux Rotors
- How to drill a square hole
- Geometric Transformations
- Caribbean Treasures

#### Algebra & Pre-Calculus

- Algebra tiles
- Bézier Curves and Splines
- Conic Sections
- Domain and Range
- Graph of Absolute Value Equations
- Graph of Absolute Value Equations (Linear)
- Step by Step Graphing of Absolute Value Equations (Linear & Quadratic)
- Interval Notation
- Inverse Functions
- Lamé Curves
- Linear Equations
- Matrix Transformations
- Motion in a Straight Line : Displacement as a function of time
- Parametric Functions
- Polynomial Functions
- Analytical etiquette - The problems by GyRo-Scop
- Analytical etiquette - help
- Algebra of Functions
- Rational Functions
- Self-Assess Algebra Review
- Trigonometry
- Transformations

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

#### Calculus

#### Discrete Mathematics

#### Probability and Statistics

- box-and-whisker plots, Leola Schultz
- Beta distributions, Michael Horvath
- Line of Least Squares

#### 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

#### 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
- Product of Chords in the Unit Circle

#### 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

#### Linear Programming

#### Statistics

- Loans
- names
- Vuitton Blog
- 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
- Astronomy
- Analysing Data
- Electronics
- Engineering
- Nuclear Physics
- Optics
- Pendulums
- Projectile Motion
- Robotics
- Waves

## Financial Mathematics

## 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
- Gosper curve, by Michael Horvath. Includes the six tools used to create the image.

### 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.
- Simulating the Mirascope, created by Lingguo Bu
- Circles Around Pythagoras, Pythagoras on the Circles, Modeling, created by Lingguo Bu
- Midpoint using a compass only, Mascheroni's Method, created by Lingguo Bu

- Pista! A Geogebra Race Game, by Emanuele Ciancio

### 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.

- Who Won the 2010 Winter Olympics? Uses the spreadsheet feature to allow users to explore different medal ranking systems for the 2010 Olympics.

## 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

## How-to-Tutorials

- GeoGebra Step by Step Tutorial Series — More than 50 GeoGebra step-by-step tutorials created by Guillermo Bautista Jr. ranging Grade 7 through Grade 12 from Mathematics and Multimedia. Guillermo Bautista has also a collection of GeoGebra applets at GeoGebra Applet Central

- 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 on math247 — Materials on algebra, number sense, trigonometry, pre-calculus, calculus and physics with GeoGebra

## 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

- GeoGebra Construction Tools Summary. This one-page handout lists each of the GeoGebra Construction Tools. by Chuck Friesen

- GeoGebra Menus This one-page handout lists each of the GeoGebra Menu Options. by Chuck Friesen

## Other Sites

- [1] NCCVT Integrate Math files
- 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)

- 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
- Collection of Geogebra applets (Lower Secondary Mathematics & Additional Mathematics) by Lew W.S, Dunman Secondary School, Singapore
- GeoGebra Applet Central: A collection of GeoGebra Applets by Guillermo Bautista.

## e-learning to Calculus

- Elearning platform of Maths - Interactive programs to learn Calculus. Level: middle-high. (English & Spanish) by J. J. Cendan, Coruña University (Spain),
- www.ecamaths.com - GeoGebra in United Arab Emirates

## UK curriculum materials

- UK schools
- E-learning platform of Maths - Preuniversity and university math levels.