Once you know some GeoGebra basics, what's next on the to do list?
Better Control
Use the graphics control panel to change the axes, grid and more in a Cartesian graph. (Right-click on an empty space in the graphics area.)
Use object properties box on items in your sketch. Try a function, line object, polygon object and text for variety. More info here.
The Action Objects menu has many more ways for users to interact with and control the sketch. Here's an overview (Google doc).
Add a slider and use it in a sketch. Note that if you regret choices made when inserting a slider you can change them from the object properties box.
Add an input box and use it in a sketch. The object (number, function, coordinate - any kind of input) must be created first, and then the input dialog will link to that object.
Insert a check box. This creates a boolean variable that is either true or false - true when the box is checked, false when it's checked. You can later use that variable to make the appearance of of something else conditional.
Insert an image and adjust its appearance and location. Size usually needs to be adjusted in an outside program. Find good free mathematical images using Creative Commons search. Here's a guide to using images.
Try the mathematical challenges on the Intermediate Handout.
Major features to try out:
Amazing variety of mathematical commands. Browse from the in program help screen by clicking the small triangle in the bottom right corner, or peruse them on the help wiki.
Spreadsheet. A sample sketch to start with is on GeoGebraTube. Double click in a cell to edit it or see the formula within. With two columns highlighted you can make a list of points from the list menu or do some two variable analysis and regression from the statistical analysis menu. More info on using the spreadsheet.
Explore GeoGebraTube. Look at some of the highest rated sketches. Create an account (which you should, anyway) and you can click the heart to make a sketch show up in the favorites section of your profile. (John's favorites.) When you're on the teacher page or student page for a sketch, you can click on the author's name. Try the GeoGebra Team, or two wizards: Daniel Mentrard and orchiming. (I can not duplicate most of their work - it's seriously advanced. Great for ideas, though) Here's a list of some of my favorite authors.
Explore some of the links in the Resources section.
Find new links for the Resources section!
Nifty Commands
IsDefined[ ] - gives true or false, very nice for detecting intersections. Useful in 'Conditions to Show Object'
UpdateConstruction[ ] - recomputes the sketch, erases traces, recomputes random values. Good for buttons.
ZoomIn[1] - same effect as refreshing views. Good for buttons.
GeoGebraTube
Find some sketches that you would like to be able to make, and share your work from today. Here's the Google doc.
Insatiable Thirst for the New?
Beta! (OK, this is not intermediate territory.) The Computer Algebra System that was in the beta release is not in the official 4.0 release. The standards are quite high for publishing, and the CAS is still in development for the version 4.2 beta. This link will download 4.2 beta. There's also a version 5 beta that will have genuine 3-D programming. This link will download 5.0 beta.