ALGRZ.MATH.6.C

Approximate solutions to equations arising from questions asked about exponential, logarithmic, square root, and cubic functions that model real-world applications tabularly and graphically.

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

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Vocabulary
solutionsequationsquestionsfunctionsexponential functionslogarithmic functionssquare root functionscubic functionsreal-world applicationstablesgraphs
Skills
  • approximate (solutions to equations) #dok2
  • analyze (real-world applications and their associated equations) #dok2
  • interpret (tables and graphs representing equations of functions) #dok2
  • apply (approximation techniques to solve equations using tabular and graphical representations) #dok3
Learning Targets
  • I can identify tables and graphs that represent equations of exponential, logarithmic, square root, and cubic functions. #dok1
  • I can recognize when a function is exponential, logarithmic, square root, or cubic by its table or graph. #dok1
  • I can approximate solutions to equations modeled by exponential, logarithmic, square root, and cubic functions using tables. #dok2
  • I can approximate solutions to equations modeled by exponential, logarithmic, square root, and cubic functions using graphs. #dok2
  • I can analyze real-world problems where the solution requires approximating using tabular or graphical methods. #dok3
  • I can apply reasoning to estimate the solution of a real-world problem involving non-linear equations when an exact answer is not feasible. #dok3
Big Ideas
  • Many real-world problems modeled by exponential, logarithmic, square root, or cubic functions require approximation rather than exact solutions.
  • Interpreting tables and graphs allows students to estimate solutions to equations that cannot be solved algebraically.
Essential Questions
  • How can you use a table or a graph to approximate the solution to an equation involving a non-linear function?
  • What types of real-world problems require you to estimate rather than find an exact answer?
  • Why are some equations best solved using approximation techniques rather than algebraic methods?
  • How does the shape of a graph help you identify and estimate solutions to equations?
  • In what situations would you prefer to use a table versus a graph to approximate a solution?