ALGRZ.MATH.4.D

Determine the linear factors of a polynomial function of degree two and of degree three when represented symbolically and tabularly and graphically where appropriate.

Algebraic Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
linear factorspolynomial functiondegree twodegree threesymbolic representationtabular representationgraphical representation
Skills
  • determine (the linear factors of a polynomial function of degree two and of degree three) #dok2
  • represent (polynomial functions symbolically, tabularly, and graphically) #dok1
  • analyze (graphs and tables for linear factors) #dok2
  • justify (identification of linear factors using multiple representations) #dok3
Learning Targets
  • I can identify linear factors of a polynomial function of degree two using symbolic notation. #dok1
  • I can represent a polynomial function of degree three using a table or a graph. #dok1
  • I can determine the linear factors of a polynomial function of degree two and of degree three from its symbolic form. #dok2
  • I can analyze tabular and graphical data to identify linear factors of a polynomial function. #dok2
  • I can explain the process for finding linear factors using different representations. #dok3
  • I can justify my reasoning for the linear factors found by connecting symbolic, graphical, and tabular evidence. #dok3
Big Ideas
  • Polynomial functions can be broken down into linear factors, revealing important characteristics and solutions.
  • Multiple representations (symbolic, tabular, and graphical) can be used to identify and verify the linear factors of polynomial functions.
Essential Questions
  • What are linear factors and why are they important for understanding polynomial functions?
  • How can you determine the linear factors of a polynomial function given its symbolic representation?
  • What information can graphs and tables provide to help you find linear factors of polynomials?
  • How do different representations (symbolic, tabular, graphical) support or challenge your process for finding linear factors?
  • Why is it important to check your factors using more than one representation?