Learning Resource Type

Classroom Resource

Linearization of a Function

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

Suppose you absolutely needed to know the value of the square root of 19 but all you had was pencil and paper, no calculator. Could you calculate it? With your current understanding of the derivative as the slope of a tangent line, you should be able to. Try computing 19 without a calculator; then compare your result with this concept's method of linearization and a calculator.

This informational material will explain how to create a linear representation of non-linear data, using technology and by-hand calculations. There is a corresponding video available. Practice questions with a PDF answer key are provided.  

    Mathematics (2019) Grade(s): 09-12 - Mathematical Modeling

    MA19.MM.16

    Create a linear representation of non-linear data and interpret solutions, using technology and the process of linearization with logarithms.

    Unpacked Content

    UP:MA19.MM.16

    Vocabulary

    • Non-linear
    • Linearization

    Knowledge

    Students know:
    • the properties of logarithms and can use them to rewrite problems in different forms.

    Skills

    Students are able to:
    • use the power property of logarithms.
    • Recognize the difference between a linear and a nonlinear function.

    Understanding

    Students understand:
    • It is often easier to solve linear functions rather than non-linear functions.
    • The use of logarithmic properties allows you to rewrite exponential functions as linear functions.
    Link to Resource

    CR Resource Type

    Informational Material

    Resource Provider

    CK-12
    Accessibility

    Accessibility

    Text Resources: Content is organized under headings and subheadings
    Video resources: includes closed captioning or subtitles
    License

    License Type

    Custom
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