How to Distinguish Linear and Exponential Growth Data

Miacademy & MiaPrep Learning Channel

This educational math video provides a clear, step-by-step guide on distinguishing between linear and exponential growth by analyzing data tables. Narrated by a tutor named Justin with the help of a robot avatar, the lesson focuses on using the concept of slope (rate of change) as the primary tool for identification. It explains that linear functions maintain a constant slope, while exponential functions feature slopes that increase by a common ratio. The video explores key mathematical themes including calculating slope from coordinates, identifying geometric sequences within rates of change, and handling data sets with missing values. A significant portion of the tutorial is dedicated to troubleshooting tricky scenarios, such as when data points are skipped in a table, requiring students to verify if a pattern holds across the gap. It also demonstrates how to identify data that fits neither pattern, reinforcing critical thinking over simple pattern matching. For the classroom, this video is an excellent resource for Algebra I units on functions. It moves beyond simple definitions to provide a procedural method for testing data, which helps students who struggle with abstract concepts. The inclusion of a "pause and solve" interactive moment allows teachers to use the video as a formative assessment tool mid-lesson, checking student understanding before moving to independent practice.