LEARN NC

K–12 teaching and learning · from the UNC School of Education

Advanced Functions and Modeling

Goal 2: Algebra - The learner will use functions to solve problems.

Objective 2.01
Use logarithmic (common, natural) functions to model and solve problems; justify results.
  • Solve using tables, graphs, and algebraic properties.
  • Interpret the constants, coefficients, and bases in the context of the problem.
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Objective 2.02
Use piecewise-defined functions to model and solve problems; justify results.
  • Solve using tables, graphs, and algebraic properties.
  • Interpret the constants, coefficients, and bases in the context of the problem.
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Objective 2.03
Use power functions to model and solve problems; justify results.
  • Solve using tables, graphs, and algebraic properties.
  • Interpret the constants, coefficients, and bases in the context of the problem.
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Objective 2.04
Use trigonometric (sine, cosine) functions to model and solve problems; justify results.
  • Solve using tables, graphs, and algebraic properties.
  • Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts.
  • Develop and use the law of sines and the law of cosines.
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Objective 2.05
Use recursively-defined functions to model and solve problems.
  • Find the sum of a finite sequence.
  • Find the sum of an infinite sequence.
  • Determine whether a given series converges or diverges.
  • Translate between recursive and explicit representations.
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