New GeoGebra Institute Website

The GeoGebra Institute of Metro Manila has a new website. We have moved some of the applets and have also created a new GeoGebra Primer. We will be accepting contributors from Filipino GeoGebra users  starting next month. If you are interested, you may contact me at nismedmultimedia@gmail.com.

The GeoGebra Institute of Metro Manila is the first GeoGebra Institute in the Philippines. The Institute is hosted by UP NISMED. 

Demiregular Tessellation 1

Move point A and point B to explore the tessellation. This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com There is no clear definition of what demi-regular tessellations are. Some sources say that there are 14 of them, but give different types. Some also say that there are 20 of them.

A journey along the graph of a function - Increasing and Decreasing Functions

Click the Start button to start the journey of the Tortoise along the graph of the function. When the Tortoise stops, click on him to start the next section of the trip. Irina Boyadzhiev, Created with GeoGebra

This applet can be used for illustration of “increasing” and “decreasing” intervals for a function. The students with some knowledge of calculus can look at the graph of the derivative and how it relates to the intervals of increasing/decreasing.

Download the applet

Increasing and Decreasing Functions

Use the check boxes to show/hide the objects and use the slider to move the points.
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com In an increasing function, the value of y-increases as the value of x-increases. On the other hand, in a decreasing function, the value of y-decreases as the value of x-increases.

The Euler Line

In the figure below, the green, red, and violet 'points' are the orthocenter, centroid, and circumcenter of triangle ABC respectively. Move the points A, B, and C and notice what happens. Use these points to create different types of triangles. What do you observe? This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
The blue line above is called the Euler line. The Euler line passes through the three important points determine by a non-equilateral triangle. It also passes through the center of the nine point circle.