GeoGebra Tutorial 25 – The Rolling Circle

This is the 25th tutorial in the GeoGebra Intermediate Tutorial Series. If this is your first time to use GeoGebra, you might want to read the GeoGebra Essentials Series.

In this tutorial, we use GeoGebra in constructing a rolling circle. This way, we would be able to relate the diameter of the circle to its circumference. Moreover, this activity will reinforce the relationship between the angle and radian measure.

You can view the output of this tutorial here.

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GeoGebra Tutorial 23 – Spreadsheet, Barchart and Histogram

Note: Although this is the 23rd of the GeoGebra Tutorial Series, just like other GeoGebra tutorials, it is independent from others.  This means that you can follow this tutorial step-by-step, without needing to learn the previous twenty two tutorials.

In this tutorial, we are going to use the spreadsheet to perform basic data representation.  We will plot a frequency table of  grouped data and perform basic computations using the spreadsheet window.  After the data is completed, we will construct a histogram. » Read more

GeoGebra Tutorial 22 – Spreadsheets, Vectors, and Matrices

This is the 22nd tutorial of the GeoGebra Intermediate Tutorial Series. If this is your first time to use GeoGebra, you might want to read the GeoGebra Essentials Series.

In this tutorial, we explore the relationship between the product of two 2 x 2 matrices. We set the entries of the factor matrices to integers, and limit the second matrix entries to values of -1, 0, and 1. We will also observe the relationship between their graphical interpretations.

geogebr-vectors-matrices

First, we enter values of the first 2 x 2 matrix in cells A1, B1, A2 and B2, then create the multiplier matrix determined by sliders a, b, c and d. We enter the formulas of product matrix cells in E1, F1, E2 and F2. The ordered pairs (A1,B1), (A2,B2) are the factor matrix and the ordered pairs (E1,F1) and (E2,F2) will be the product matrix.

 You can view the output of this tutorial here. » Read more

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