Graphing Piecewise Function

This is the output file of step-by-step GeoGebra Tutorial 32 - Graphing Piecewise Functions from Mathematics and Multimedia.

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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?

Graphs and Sliders

Move the small circles on sliders m and b. What do you observe?




















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1. How do the values of m and b affect the appearance of the graph?
2. Suppose, we can increase the value of m and b as much as we can, is it possible to plot a vertical graph?
3. Explain why your observations in 1 are such.

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

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

Quadrilaterals and Midpoints

1. Use the Move tool (leftmost tool) to move the vertices of the quadrilateral. What do you observe?
2. Use the Distance tool to find the distance between the points and move the points. Do your observations hold true?
3. What conjecture can you make based on your observations?
4. Select the Angle tool (right button) and click the interior of the polygon. Does your conjecture still hold?
5.  Challenge: Prove your conjecture.

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