LEARN NC

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

Objective 2.01
Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise-defined, and greatest integer) to model and solve problems; justify results.
  • Solve using graphs and algebraic properties.
  • Interpret the constants, coefficients, and bases in the context of the problem.
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Objective 2.02
Use trigonometric and inverse trigonometric functions to model and solve problems; justify results.
  • Solve using 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 2.03
For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions.
  • Interpret the constants, coefficients, and bases in the context of the data.
  • Check models for goodness-of-fit; use the most appropriate model to draw conclusions or make predictions.
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Objective 2.04
Use the composition and inverse of functions to model and solve problems.
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Objective 2.05
Use polar equations to model and solve problems.
  • Solve using graphs and algebraic properties.
  • Interpret the constants and coefficients in the context of the problem.
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Objective 2.06
Use parametric equations to model and solve problems.
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Objective 2.07
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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Objective 2.08
Explore the limit of a function graphically, numerically, and algebraically.
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