ALG2.MATH.5.B

Formulate exponential and logarithmic equations that model real-world situations, including exponential relationships written in recursive notation.

Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
exponential equationslogarithmic equationsreal-world situationsexponential relationshipsrecursive notation
Skills
  • formulate (exponential equations that model real-world situations) #dok3
  • formulate (logarithmic equations that model real-world situations) #dok3
  • translate (real-world situations into exponential or logarithmic equations) #dok2
  • interpret (exponential relationships written in recursive notation) #dok2
Learning Targets
  • I can identify scenarios that can be modeled with exponential or logarithmic equations. #dok1
  • I can recognize exponential and logarithmic equations in problem situations. #dok1
  • I can interpret the meaning of exponential relationships written in recursive notation. #dok2
  • I can translate real-world situations into exponential equations. #dok2
  • I can translate real-world situations into logarithmic equations. #dok2
  • I can formulate exponential equations that accurately model real-world problems, including those represented recursively. #dok3
  • I can formulate logarithmic equations that accurately model real-world problems. #dok3
Big Ideas
  • Exponential and logarithmic equations can be used to effectively model and solve diverse real-world situations.
  • Identifying and formulating equations to represent real-world contexts helps connect mathematical theory to practical applications.
Essential Questions
  • When is it appropriate to use an exponential equation to model a real-world situation?
  • How do logarithmic equations represent real-world phenomena differently from exponential equations?
  • What is recursive notation, and how does it relate to exponential relationships in real-world contexts?
  • How can I translate a real-world problem into an exponential or logarithmic equation?
  • What steps can ensure the accuracy of mathematical models for real-world exponential and logarithmic relationships?