Analytic Geometry

Virginia SOL MA.AG.4

Investigate and identify the characteristics of the graphs of polar equations.

What students need to be able to do

  • Classify polar equations (rose, cardioid, limaçon, lemniscate, spiral, and circle), given the graph or the equation.
  • Determine the effects of changes in the parameters of polar equations on the graph, using graphing technology.
  • Convert between polar and rectangular forms of coordinates.
  • Convert between complex numbers written in rectangular form and polar form.
  • Convert equations between polar and rectangular forms.
  • Determine and verify the intersection of the graphs of two polar equations, using graphing technology.