Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.32

Solve application-based problems involving parametric and polar equations.

Unpacked Content

Knowledge

Students know:
  • How to model motion using quadratic functions.
  • Algebraic manipulation of equations.

Skills

Students are able to:
  • Develop parametric and polar equations for a given situation.
  • Graph the parametric or polar equations.
  • Answer questions in the context of the parametric or polar problem.

Understanding

Students understand that:
  • Parametric equations can be used to model and evaluate trajectory of projectiles.
  • Parametric equations can be used to model and evaluate range of projectiles.
  • Polar equation can be used to model motion for some mechanical systems.
  • Which situations parametric and polar modeling is appropriate.

Vocabulary

  • Parametric equations
  • Parameter
  • Parametric curve
  • Polar equations
  • Rectangular form
  • Orientation
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