Normal Distribution Z-Score Calculator: Dynamic Visualization

① This GeoGebra example dynamically demonstrates the probability area under the standard normal distribution curve corresponding to a given Z-score, visually showing the relationship between Z-scores and cumulative probabilities. ② Core mathematical concepts include normal distribution, standard normal distribution, Z-score (standard score), probability density function, cumulative distribution function, and integration for area calculation. ③ Construction details: The Integral command computes the area under the normal curve from negative infinity to the Z-value, the Segment command draws the vertical line at the Z-score, the If command controls conditional display, and objects include f (normal distribution function), z (Z-score slider), a (area value), text1 (label), c (curve), S (area region), b (another boundary), and text2 (explanatory text). ④ Suitable for high school and university statistics/probability courses, useful for understanding Z-score conversion, table lookup principles, and normal distribution probability calculations, as well as for classroom demonstrations or student self-exploration.