Tracing the Ellipse

1. Move slider r to trace the ellipse.
2. You can choose to show/hide the circles using the Show Circles check box.
3. Use the tools available in the toolbar to explore the properties of the ellipse formed.

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I will construct a step-by-step tutorial on creating the applet below. To view more than 50 GeoGebra tutorials, click here.

Triangle Inequality

Move sliders a, b and c and observe what happens.

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1. What are the conditions when a triangle is formed?
2. Explain why the three inequalities in the applet must be true for a triangle to exist.

Animation and Epicycloid

Note: This is the output of the one the Math and Multimedia GeoGebra Tutorials. To view the step-by-step instructions in creating the epicycloid worksheet below click here.


Click the Play button located on the lower left of the GeoGebra window to rotate the circle with center (2,0).




















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The path traced by the red point is called the epicycloid.

Approximating the area of a circle

Note: This is the output of the one the Math and Multimedia GeoGebra Tutorials. To view the step-by-step instructions in creating the worksheet below click here.

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Adjust sliders r and n at the right hand slide of the GeoGebra applet window.





















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1.) What do you observe about the relationship between the area of the circle as n increases?
2.) Vary the values of n and r and observe what happens. Based on your observations, what conjecture can you make?

Animation, Roses and Radian

Click the Play button located at the lower-left corner of the GeoGebra applet and watch the applet for a while.

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1.)Pause the animation and refresh your browser. Click the Play button again. Click stop when Point C and point B' coincide. ?

2.) How many degrees has B' rotated the first time point B' and C coincide? Refresh the browser and repeat if necessary.

3.)How many petals are formed during the entire rotation of point B' along the circumference of the circle?

4.) Refresh your web browser and complete the petal. Count the number of rotations. What is the relationship between the the number of rotations and the number of petals. Make interpretation about this relationship.

Constructing a Square

This is the output of GeoGebra Tutorial 3 - Constructing a Square from the GeoGebra Step-by-Step Tutorial Series of Mathematics and Multimedia. The GeoGebra ggb file can be downloaded here.

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Move points A and B. What do you observe?

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Can you think of other ways of constructing a square without using the Regular Polygon tool, or the following the tutorial?

Equilateral Triangle

Drag the vertices of the equilateral triangle below.

1. What do you observe?
2. Can you think of other ways of creating an equilateral triangle?

Notes:

1. Click here to download the ggb file.
2. Click here to read the step-by-step tutorial.
3. Click here to go to the Mathematics and Multimedia GeoGebra Tutorial Series.
4. Click here to go to Mathematics and Multimedia