Finding Slope from a Table of Values

Miacademy & MiaPrep Learning Channel

This instructional math video guides students through the process of calculating the slope of a linear relationship using a table of values instead of a graph. It bridges the gap between visual representations (rise over run) and numerical calculations, introducing the concept of 'change in y over change in x' as the foundational formula for slope. The video explores key themes such as the connection between coordinates on a graph and rows in a table, the consistency of slope across any two points on a line, and the mathematical proof that the order in which points are selected does not affect the final slope calculation. It provides multiple demonstrated examples, including calculating slope from adjacent rows, non-adjacent rows, and calculating 'backwards' up a table. For educators, this resource serves as an excellent bridge between graphing linear equations and the algebraic slope formula. It addresses common student anxieties about losing the visual aid of a graph and provides clear, step-by-step procedures for finding rate of change numerically. The inclusion of pause-and-practice moments makes it a ready-made interactive component for direct instruction or flipped classroom models.