Jerel Welker, Lincoln Southwest High School

NATM 2008 - Using GeoGebra in Algebra and Geometry

Resources from GeoGebra website used for this presentation:

Geogebra Beta Release Download - Notes (including statistical functions list)
Geogebra Home Page with access to Download Released Versions and Wiki
Introduction to GeoGebra Activities

Tutorials used for Geogebra.

These tutorials use the Beta Geogebra version (as of October 18, 2008) which can be downloaded from the link in the section above. Please note: After creating versions with the Beta version, you MUST open the beta version first and use the file open command to open the file. Double clicking on the file will attempt to open the file with the full release version resulting in an error.

Video 1 - Tutorial #1 - Graphing points in the spreadsheet window
Video 2 - Using sliders and the spreadsheet to graph points on the line y = mx + b
Video 3 - Adding a text box to show the equation on the graphing window in the form of y = 2x + 3
Video 4 - Adding a second text box for y = 2x - 3 instead of y = 2x + -3. Use the conditional show to make one text box visible at a time.
Video 5 - Use a checkbox to hide/show the plotted points.
Video 6 - Re-sizing the window, set the scale in a 1:1 ratio and show the scale in units of 1 after re-sizing.
Completed Project #1 - Download
Video 7 - Tutorial #2 - Demonstration of the completed project. Plot points and allow students to enter the equation of the line in y = mx + b form.
Video 8 - Setting the slope and y-intercept. Finding the x-value for each point.
Video 9 - Finding the y-value for each point. Graph each point in the graphing window.
Video 10 - Using floor() and random() to make the points have random values. The slope is a fraction with integer numerators and denominators.
Video 11 - Exporting the project to a worksheet which can be placed on a website.
Video 12 - Copying and pasting in Windows versions
Completed Project #2 - Download - Java Worksheet

Personal resources used for this presentation:

Modeling data java worksheet - Sample data set
Other GeoGebra Resources

Sample GeoGebra files and Flash Demo files will be placed here after the workshop.

NATM 2007 - Modeling Quadratic Data and Using JING, LOGGER PRO and TI-83 Emulator

Resources used for this presentation.

JING - Freeware file creation software from you computer (Windows or Mac OS X). http://www.jingproject.com/
Note: Audio requires a built-in or external microphone.
TI-83 Emulator - (Windows only) http://www.wiscomathematics.com/ti-emulator.htm
Logger Pro - Lows cost data collection / analysis software. Very inexpensive site/home license. Used by many science departments - http://www.vernier.com/downloads/
TI Connect - Transfer files to/from TI Calculators with link cable - http://education.ti.com/educationportal/sites/US/productDetail/us_ti_connect.html

Sample files used in the following demonstrations.
Logger Pro - Download
TI-83 - DATA and CHOOSE programs

View the procedure for modeling Quadratic Data with Logger Pro
Capture utilizes JING.

Setting up a logger pro file to collect data from a ball rolling on a ramp.
Collecting the data with logger pro.
Finding the data points for factored form in Logger Pro or on the TI-83
Modeling the data in factored form.
Graphing the model in factored form.
Finding the data points for vertex form.
Modeling the data in vertex form.
Graphing the model in vertex form.
Determine quadratic form from factored form.
Determine quadratic form from vertex form.
Use a regression method to find quadratic form in Logger Pro or on the TI-83.

The same presentation with TI-83 in Quicktime movie format is available here.

Follow-up Questions.

What is significant about factored form?
What is significant about vertex form? What does the vertex describe?
What do the values from the quadratic regression indicate?

Record similar data with TI Programs - Use GENDIST from the group of TI-83 programs.

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