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## Saturday, August 21, 2010

### 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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## Saturday, August 14, 2010

### 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.

***

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?

## Friday, August 13, 2010

### Graphs and Sliders

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

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

Notes:

## Saturday, August 7, 2010

### Equilateral Triangle

Drag the vertices of the equilateral triangle below.

- What do you observe?
- Can you think of other ways of creating an equilateral triangle?

Notes:

### Quadrilaterals and Midpoints

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

**Notes:**

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