Fractions on a Number Line by Lillian Petersen

This GeoGebra example demonstrates how to visualize fractions on a number line, allowing users to dynamically adjust the numerator and denominator to see the fraction's position relative to integers and decimals. The core mathematical concepts include the meaning of fractions, the correspondence between points on a number line and real numbers, ratios and proportions, and conversions among fractions, decimals, and percentages. The construction uses GeoGebra commands such as Intersect, Point, Line, Vector, Sequence, and Element to build the number line, fraction points, auxiliary segments, and text labels, with sliders controlling the numerator and denominator to update the fraction's position and displayed text in real time. It is suitable for upper elementary and middle school students learning fraction concepts, as well as for teacher demonstrations to help students develop number sense and understand the continuous distribution of fractions on the number line.