MA19.GDA.15

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.15

Evaluate possible solutions to real-life problems by developing linear models of contextual situations and using them to predict unknown values.

Unpacked Content

Knowledge

Students know:
  • Techniques for creating a scatter plot.
  • Techniques for fitting a linear function to a scatter plot.
  • Methods to find the slope and intercept of a linear function.
  • Techniques for fitting various functions (linear, quadratic, exponential) to data.
  • Methods for using residuals to judge the closeness of the fit of the function to the original data.

Skills

Students are able to:
  • Accurately create a scatter plot of data.
  • Correctly choose a function to fit the scatter plot.
  • Make reasonable assessments on the fit of the function to the data by examining residuals.
  • Accurately fit a linear function to data when there is evidence of a linear association.
  • Accurately fit linear functions to scatter plots.
  • Correctly find the slope and intercept of linear functions.
  • Justify and explain the relevant connections slope and intercept of the linear function to the data.

Understanding

Students understand that:
  • Functions are used to create equations representative of ordered pairs of data.
  • Residuals may be examined to analyze how well a function fits the data.
  • When a linear association is suggested, a linear function can be fit to the scatter plot to aid in modeling the relationship.
  • Linear functions are used to model data that have a relationship that closely resembles a linear relationship.
  • The slope and intercept of a linear function may be interpreted as the rate of change and the zero point (starting point).

Vocabulary

  • Quantitative variables
  • Scatter plot
  • Residuals
  • Slope
  • Rate of change
  • Intercepts
  • Constant
  • Ordered pairs
  • Horizontal lines
  • Vertical lines
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