Alternatives to Slope and Intercept

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Taught by TheMathDude
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7167 views | 1 rating
Meets NCTM Standards:
Lesson Summary:

In this lesson, the focus is on breaking away from the habit of using terms like slope and intercept when discussing linear models. Instead, the parameters in a linear model should be given meaning based on the context of the specific relationship being modeled. This requires a deeper understanding of functional notation and an ability to interpret the parameters in real-world situations. By using more descriptive and accurate language, such as referring to the rate or coefficient in the linear model, a clearer understanding of the relationship can be achieved.

Lesson Description:

Know what the two parameters in a linear model/function mean in the context of real relationships. Recognize the vocabulary used for these parameters depending on the context constant rate / slope / coefficient and initial value / vertical intercept / constant.

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Additional Resources:
Questions answered by this video:
  • What are some other terms / names for slope and y-intercept?
  • What do m and b mean in y = mx + b?
  • What are the parameters, input, and output in the function x = y(f) = af + z?
  • What do rate and coefficient mean in a linear function?
  • What do initial value, vertical intercept, and constant mean in a linear function?
  • What is a relationship with a constant rate of change?
  • What is an output axis intercept?
  • Staff Review

    • Currently 5.0/5 Stars.
    This lesson tries to move you away from a line looking like y = mx + b. Using full functional notation, a function can use any letters to represent the input and output as well as the parameters. Therefore, you will learn more descriptive names for the slope and y-intercept in a linear model. The problem set and solutions will help this make more sense to you.