4 GeoGebra 5 Updates Teachers Will Love

It’s been a while since I have written about GeoGebra, but I have started updating some of the tutorials to GeoGebra 5. For those who have not explored the Archives, I have written numerous GeoGebra tutorials ranging from basics to advanced.

GeoGebra is now version 5.0. New features were added and a lot of improvements had been made. The 3D is now stable and 4 new tools were added. The Insert Image tool now support SVG files. But aside from these, there are simple updates which I really like and I think teachers will also love them. Here are four of them.

1.) Automatic Color Change

Every time you graph a new function in the current version of GeoGebra, it automatically selects a different color. You don’t have to trouble yourself changing the color of the graph of the new functions.  » Read more

The Basics of Inverse Proportion

In the previous post, we have discussed the basics of direct proportions. Recall that when two quantities x and y change and if x changes n times, then y changes n times, then we can say that y is directly proportional to x. In this post, we are going to learn about inverse proportions.


A rectangle has area 24 square units. Find the possible areas if the length and width are both whole numbers.

Solution and Discussion

The table shows the pairs of length and width that has area of 24 square units.  » Read more

The Basics of Direct Proportion

A car travels at 40 kilometers per hour traveled for 7 hours. The table of the distances traveled with respect to time is shown below.

Observe the relationship between the distance traveled and the time. As the time increases, the distance traveled increases. If the number of hours increases two times, then the distance also increases two times. Between hour 1 and hour 2, the increase in time is 1 hour, and the increase in distance is 40 kilometers. Between hour 3 and hour 5, the increase in time is 2 hours, and the increase in distance is 2(40) = 80 kilometers.

direct proprtion

If there are two changing quantities x and y and if the value of x changes 2 times, 3 times, and so on, y also changes 2 times, 3 times, and so on respectively, we can say that y is directly proportional to x. In the relationship above, distance is directly proportional to time.  » Read more

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