Video Definition 33--Linear Function Concepts--Coefficient of the Linear Term

Topic

Linear Functions

Description

The term is "Coefficient of the Linear Term," defined as the numerical factor of the variable in a linear expression, equation, or function. Examples provided include x + 3, where the coefficient is 1; y = -3x + 4, where the coefficient is -3; and 7x - 6 = 15, where the coefficient is 7. This term introduces the concept of coefficients in linear expressions, forming the foundation for understanding how variables scale in linear equations.

Linear functions form the backbone of many mathematical concepts. They are essential for understanding relationships that have constant rates of change. This video introduces the concept thoroughly, making it accessible for students.

As a teacher, you can start by explaining that this video will provide clear visuals and definitions that clarify what linear functions represent. For example, the video includes detailed examples showing how a linear function is expressed graphically and algebraically, tying in mathematical notation with practical applications. This connects directly to the concept of rates of change and the proportionality inherent in linear functions.

Teacher’s Script: "Today, we’re exploring the foundation of many real-world relationships: linear functions. The video you’ll watch explains how we can understand these functions as both graphs and equations. Pay attention to how the terms are defined and visualized. Think about how this connects to what we’ve discussed regarding patterns and rates of change in prior lessons. Let’s identify how linearity simplifies the representation of data points into a consistent form."

For a complete collection of videos related to Linear Functions click on this link: Math Video Definitions: Linear Functions Collection.