Model Battery Power with Functions: Boxplots and Riemann Sums

This example demonstrates how to model battery power as a function (e.g., varying with time or capacity) and how to analyze the resulting behavior using visual graphing tools. It connects key ideas of function modeling with data visualization: boxplots and bar charts/graphs highlight distributions and special values/regions. The construction also emphasizes integral intuition through upper and lower sums or Riemann sums, approximating the accumulated quantity under a curve by partitioning intervals. From the provided theme keywords, the model uses function graphing to mark special points, employs dilation/transformations to compare scaled features, and overlays the geometric rectangles implied by Riemann-sum methods for upper/lower approximations. Suitable for secondary school and introductory college learners in math modeling, graphing of functions, and the early development of calculus concepts (area under a curve).