ALEX Classroom Resource

  

Calculus - Linear Approximation Video

  Classroom Resource Information  

Title:

 Calculus - Linear Approximation Video

URL:

 https://www.ck12.org/c/calculus/tangent-line-approximation/lecture/Calculus-Linear-Approximation/?referrer=concept_details

Content Source:

 Other
CK-12
Type: Audio/Video

Overview:

This video will explain the process of linearization and linear approximations. It will demonstrate how to create a linear representation of non-linear data. 

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 9-12
Mathematical Modeling
16. Create a linear representation of non-linear data and interpret solutions, using technology and the process of linearization with logarithms.

Unpacked Content
Evidence Of Student Attainment:
Students:
  • Can use logarithmic properties to create a linear representation of non-linear data.
Teacher 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.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
MMOD.16.1: Define linearization, linear, non-linear, exponential function and logarithmic function.
MMOD.16.2: Interpret solutions based on results.
MMOD.16.3: Using technology create a linear representation of nonlinear data.
MMOD.16.4: Using technology graph a logarithmic function.
MMOD.16.5: Using technology graph an exponential function.

Prior Knowledge Skills:
  • Define logarithmic and exponential function.
  • Recognize the inverse relationship of logarithmic function and exponential functions.
  • Define ordered pair, coordinate plane, polynomial, trigonometric (sine and cosine), logarithmic, reciprocal, radical, and general piecewise functions.
  • Create equations with two variables (polynomial, trigonometric (sine and cosine), logarithmic, reciprocal, radical, and general piecewise functions).
  • Graph equations on coordinate axes with labels and scales (polynomial, trigonometric (sine and cosine), logarithmic, reciprocal, radical, and general piecewise functions.).
  • Define linear function and exponential function.
  • Distinguish between graphs of a line and an exponential function.
  • Identify the graph of an exponential function.
Tags: approximation, data, linear, linearization, mathematical modeling, nonlinear, representation, square root
License Type: Custom Permission Type
See Terms: https://www.ck12info.org/terms-of-use/
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityVideo resources: includes closed captioning or subtitles
Comments
  This resource provided by:  
Author: Hannah Bradley
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