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Vocabulary
linear parent functiontransformationline of best fitdata setfitmodel
Skills
  • transform (a linear parent function) #dok2
  • determine (a line of best fit) #dok2
  • analyze (the effects of transformation on fit) #dok3
  • apply (transformations to create a best fit line for a data set) #dok3
Learning Targets
  • I can recognize and describe a linear parent function. #dok1
  • I can define the line of best fit in the context of data analysis. #dok1
  • I can transform a linear parent function using algebraic rules or graphing tools. #dok2
  • I can determine and display a line of best fit for a given data set. #dok2
  • I can apply transformations to a linear parent function to model the best fit for data. #dok3
  • I can analyze how different transformations of the parent function affect the fit of a line to the data. #dok3
Big Ideas
  • Transforming a linear parent function allows us to model real-world data with accuracy using the line of best fit.
  • A strong understanding of lines of best fit helps in interpreting relationships and making predictions from data.
Essential Questions
  • What does it mean to transform a linear parent function, and why is this important in data analysis?
  • How do changes in the slope and y-intercept affect the line of best fit?
  • How can we determine which line of best fit most accurately represents a data set?
  • In what situations might different transformations lead to different interpretations of the data?
  • What tools or techniques can be used to create and analyze lines of best fit?