Equivalent Fractions with Number Lines

① This GeoGebra example demonstrates how to generate equivalent fractions using two parallel number lines, where points are marked at equal intervals to show the same value represented by different numerators and denominators. ② The core mathematical concept is the fundamental property of fractions: multiplying both numerator and denominator by the same non-zero integer preserves the fraction's value. It also reinforces the idea of partitioning a number line into equal segments. ③ The construction uses the Segment command to draw the number lines, Sequence to create equally spaced points, a slider named multiplier to control the scaling factor, and dynamic text objects (text1, text2, text3) to display the fraction and the multiplication steps. A change button allows switching between different starting fractions. ④ This is suitable for upper elementary and middle school students learning fraction equivalence, and can be used for interactive classroom demonstrations or self-paced exploration.