Binomial and Poisson Distribution Approximation Activity

This GeoGebra activity dynamically demonstrates how the binomial distribution converges toward the Poisson distribution as its parameters change, offering a clear visual illustration of probability distribution approximation. The core mathematical concepts involved are the binomial distribution, Poisson distribution, probability mass functions, distribution convergence, and limit theory. In terms of construction, the example uses GeoGebra commands BinomialDist and Poisson to generate the respective distributions, Sequence and Element to construct sequences and extract elements, and parameter objects m, n, p, a together with list objects list1, list2, list3, list4 to control dynamic behavior. Text objects text1, text2, text3 display probability values in real time, while pic1 provides supplementary visual support. The resource is suitable for high school probability and statistics electives, introductory college probability courses, and self-directed exploration of the limit processes underlying distribution approximation.