Using GeoGebra to Enhance Mathematics Instruction
by Samantha Cruz Access the slides on your Device http://tinyurl.com/ggbslides1 What is ?
● Dynamic Math Software for Learning and Teaching Mathematics ● Graphing Calculator ● Statistics Calculator ● Spreadsheet What do you teach?
Answer by :
● Visiting https://pollev.com/SAMANTHACRUZ879 ● Texting SAMANTHACRUZ879 to 22333 Lower School Math Middle School Math Algebra
What's GeoGebra Good for?
Geometry Calculus Statistics
Compatible with Mac, PC, iPad, and Android Devices Spreadsheet Probability 2D/3D Graphics View Calculator
Features Computer Algebra System Construction Protocol Dynamic/Input Tools Download GeoGebra
On a Computer iPad, SmartPhone, or
● GeoGebra.org Tablet ● Scroll Down to "Downloads" ● Go to App Store or Play Store ● Select your Device ● Search GeoGebra ● Download & Install ● Download GeoGebra Classic ○ Graphing Calculator and Geometry are also available ○ Augmented reality available on select iPads GeoGebra Tube
● Like YouTube, but for GeoGebra Check out my page for activities: applets ● Go to GeoGebra.org and select http://www.geogebra.org/scruz10 "Materials" ○ If you are already logged in, press in the top right corner. ● Search for activities like "Fractions" or "Pythagorean Theorem." Create in GeoGebra
Go to GeoGebra.org and select "GeoGebra Try drawing each of the following things: Classic" ● Point ○ If you downloaded the program, you can ● Line open it and create in there. ● Ray ● Triangle ● Circle ● A Written Message
Experiment with other tools when you're done. Create Interactive Materials - Dynamic Equations
Dynamic Equations
● Create two sliders named a and b ○ settings: Number, Min: -5, Max: 5, Increment: 0.1
● In the "Input," type y = a*x + b
● Move the sliders, and notice how the graphics view changes Create Interactive Materials - Dynamic Shapes
Dynamic Shapes
● Create two sliders named n ○ settings: Integer, Min: 3, Max: 10, Increment: 1
● In polygon menu, select "Regular Polygon" ○ Make two points in the Graphics View ○ Put "n" into vertices pop-up
● Move the sliders, and notice how the graphics view changes Create Interactive Materials - Spreadsheet
Dynamic Spreadsheets
● In Input, write equation f(x) = x^2 + 2*x + 1
● In the menu, select "View" and check "Spreadsheet" ○ In column A, list number -5 to 5 ○ In column B, type f(A1) ○ Select cell B1 and drag down to B11 Create Interactive Materials - Spreadsheet cont.
Dynamic Spreadsheets Works only on Downloaded program ● Select cells A1 to B11
● Right click (on Mac Ctrl+click) selected area ○ Select Create -> List of points ○ Notice the points created in graphics view ● In the input, change f(x) to f(x) = x^3 - 8 and notice how the graph/points change Create Interactive Materials - Spreadsheet cont.
Dynamic Spreadsheets Works only on Downloaded program ● Select cells A1 to B11
● Select "One Variable Analysis" from top menu ● One-variable distribution, like a histogram, is created GeoGebra in the Classroom
● Example Assignments Using ● Example Student Projects Using GeoGebra GeoGebra ○ Exploring Vertical Angles: ○ https://www.geogebra.org/m/ZMTWGXuu http://www.tinyurl.com/GeoGebravertical ○ https://youtu.be/BjUrTSW6jNc ○ Exploring Equations of ○ https://youtu.be/i5jN50avxoE Parallel/Perpendicular Lines: ○ https://youtu.be/ngrz5-D3_LU http://www.tinyurl.com/GeoGebraparperp ○ https://youtu.be/KS-EF65VrWM Download/Edit from GeoGebra Tube
● Find a simple applet you like in ● Open the file you downloaded on GeoGebra Tube the computer ● Think about what you might ● Select View -> Construction edit/add Protocol ● Press three dots in the top right ○ This allows you to see how the applet corner was created ● Select "Download" ● Edit features you would like to ● Download the .ggb file change Useful Links
● Online manual: http://wiki.geogebra.org ● GeoGebra website: https://www.geogebra.org/ ● GeoGebra twitter: https://twitter.com/geogebra ● GeoGebra Groups: https://www.geogebra.org/b/r Qrbooeq#chapter/59731 ● Contact me: [email protected] Session Time: 10:00-10:50AM
Session Title: Using GeoGebra to Enhance Mathematics Instruction