GeoGebra Materials for High School Teachers

http://t0.gstatic.com/images?q=tbn:F3O8qgGOR23sOM:http://aroblespr.files.wordpress.com/2009/02/geogebra-logo.png%3Fw%3D190%26h%3D190Most of the following GeoGebra materials were developed as part of a workshop for High School teachers. None had used GeoGebra before.

GeoGebra is free and can be downloaded at www.geogebra.org .  There is a wealth of material available through this website on how to use the software as well as a Wiki that has hundreds of constructions and teaching activities for all grade levels and a variety of mathematical topics.

I have provided just a few of my own here.

Table Description/Available Materials

·         Column 1: A brief name of the topics covered in the PDF handout.

·         Column 2: The PDF files have the directions on how to make some constructions in GeoGebra as well as learning activities. These directions are for a beginning user, but I was available for questions to those following the typed instructions. I hope they are clear enough.  Also, there are a few cases where following the step-by-step instructions will not result exactly with the resulting construction in the HTML file. The two main reasons for this are:

1.       I made these HTML files as presentations, so there may be embellishments (fonts, colors, etc) that are not included directly in the step-by-step instructions, but you will learn how to make these changes in the general information provided. 

2.       I sometimes made mine work a little nicer using tools/menu items in a way that the class had not been introduced to yet.  However, the main parts of the constructions and the necessary tools to make them are all described in detail. As the user becomes more comfortable with the software, he/she will soon be making them work even nicer.

·         Column 3: The HTML files are the resulting constructions. The constructions are made in GeoGebra  (.ggb files) and were then exported as dynamic HTML, which are the files listed in this column.  I have also included some other more advanced constructions that I had fun doing while developing the workshop materials – these do not have instructions. You can use the files as they are in html, or I have generally left all the tool buttons accessible, so you can alter these HTML files with them. The resulting HTML files can be viewed without the GeoGebra software.

Activity

 

 

PDF file

HTML File

Description of PDF infromation

Midpoint Polygons

 

 

MidPointPolygons

 

Properties resulting from the polygon formed by connecting the midpoints of the sides of a given polygon. Triangle and Quadrilateral.

Construct Quadrilaterals

 

 

Quadrilaterals

 

Directions on how to construct common quadrilaterals using GeoGebra. Very detailed instructions utilizing most of the available tools.

Transformations

 

 

Isometries

 

The four isometries of the plane. First using coordinates. Identifying isometries without coordinates. Compositions of isometries. Isometries and quadrilaterals.

Sliders - Constructions

 

 

Sliders

Inscribed Polygons

 

Construction Perpendicular Bisector via Slider

 

Construction Perpendicular Bisector via Navigaton Bar

 

Function transformations 1

Using sliders for slope-intercept, function transformations, inscribed polygons in a circle, constructions with the navigation bar and construction protocol.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Inscribed Polygons: This allows the user to