Construction-




Constructing a Visual Representation of Fractions Using Geogebra-

This will describe how to create a visual representation of a fraction as parts of a 10x1 rectangle. We will be able to manipulate the sliders to change the

1.Create 2 sliders, a and b, with a having a range of 1 to 10 and an increment of 1, and b having a range of 0 to a with an increment of 1. In this case, we will use a as the denominator, and b as the numerator. leave them both at 10 for the time being.

2. Create connected 10 horizontal line segments with length 10/a, and a line segment with length 1 at the far left point on the line going vertically. Create another 10 horizontal line segments with length 10/a parallel to the first 10 and connected to the length 1 vertical line. Connect these 2 horizontal lines at each point, creating 10 rectangles with height 1 and 10/a length.

3. Use the Object Properties to set the first rectangle to only appear when a >= 1, the second to only appear when a >=2, and so on.

4. Use the polygon tool to create polygons over each of the rectangles. Set these polygons to only appear when b>=1 for the first, b>=2 for the second, and so on.

5. Finally, hide all the points and labels on your construction. This will work as a visual representation proper fractions.

Discussion questions-
I chose to do it as a rectangle, because it felt more intuitive to construct to me, and clearly illustrates the fraction. A circle construction would have worked just as well. I set the range of the denominator from 1 to 10 so that I never deal with denominator 0, and the range of the numerator from 0 to a so that improper fractions cannot be created.