Arkansas flagArkansas: CS Math Standards

12 standards · 2 domains

CS.2

  • CS.2.AIII.1 Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers
  • CS.2.AIII.2 Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant; find the equations for the asymptotes of a hyperbola
  • CS.2.AIII.3 Complete the square in order to generate an equivalent form of an equation for a conic section; use that equivalent form to identify key characteristics of the conic section
  • CS.2.AIII.4 Identify, graph, write, and analyze equations of each type of conic section, using properties such as symmetry, intercepts, foci, asymptotes, and eccentricity, and using technology when appropriate
  • CS.2.AIII.5 Solve systems of equations and inequalities involving conics and other types of equations, with and without appropriate technology

CS.5

  • CS.5.PC.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem. Complete the square to find the center and radius of a circle given by an equation.
  • CS.5.PC.2 (+) Derive the equation of a parabola given a focus and directrix.
  • CS.5.PC.3 (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
  • CS.5.PC.4 Find the equations for the asymptotes of a hyperbola
  • CS.5.PC.5 Complete the square in order to generate an equivalent form of an equation for a conic section; use that equivalent form to identify key characteristics of the conic section
  • CS.5.PC.6 Identify, graph, write, and analyze equations of each type of conic section, using properties such as symmetry, intercepts, foci, asymptotes, and eccentricity, and using technology when appropriate
  • CS.5.PC.7 Solve systems of equations and inequalities involving conics and other types of equations, with and without appropriate technology