Directed Numbers Demo

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2013-09-23 20:54

Triangle Function

In collections Directed Numbers

This example demonstrates the concept of directed numbers and their applications in mathematics, visualizing the positive and negative aspects of numbers. Core math concepts include directed numbers, natural numbers, tree diagrams, pyramids, isosceles triangles, and exponential functions. It uses GeoGebra commands like Point and If. Suitable for middle school and above learners to understand geometric representations and functional relationships of directed numbers.

GeoGebra Commands & Parameters

Point(xAxis) → A
Point(xAxis) → B
If(a < 0, Sequence[(-n, 0), n, 0, -a], Sequence[(n, 0), n, 0, a]) → list1
If(a > 0, Sequence[Semicircle[Element[list1, n], Element[list1, n + 1]], n, 1, abs(a)], Sequence[Semicircle[Element[list1, n + 1], Element[list1, n]], n, 1, abs(a)]) → list2

AI Drawing Prompt Reference

Draw a visualization of positive and negative numbers on a horizontal axis, connecting points with semicircles that rotate clockwise for positive values and counterclockwise for negative values, showing the geometric representation of number direction.

The prompt above was compiled from the original drawing commands and is for reference only.