Precalculus (Oklahoma Academic Standards)

Functions (PC.F)

• Analyze functions and relations.
  • PC.F.1.1 Interpret features of a function from its expression in the context of the situation.
  • PC.F.1.2 Sketch a graph that models how two quantities relate and mark key features.
  • PC.F.1.3 Interpret features of graphs and tables in terms of the quantities involved.
  • PC.F.1.4 Describe end behavior, asymptotes, and points of discontinuity.
  • PC.F.1.5 Decide whether a function is invertible and find inverses, including on restricted domains.
• Build functions to model relationships and check how functions relate.
  • PC.F.2.1 Model relationships by composing functions, paying attention to domain limits.
  • PC.F.2.2 Rewrite a function as a composition of functions.
  • PC.F.2.3 Interpret quantities that involve a function and its inverse.
  • PC.F.2.4 Prove algebraically that one function is the inverse of another.
• Predict and check solutions involving functions.
  • PC.F.3.1 Predict solutions involving quadratic, higher-degree polynomial, rational, exponential, and logarithmic functions.
  • PC.F.3.2 Check those solutions with graphs.
  • PC.F.3.3 Check those solutions algebraically.

Conic Sections (PC.CS)

• Investigate conic sections.
  • PC.CS.1.1 Model real situations with conic sections.
  • PC.CS.1.2 Find key features of conics such as foci, directrix, radii, axes, asymptotes, and center, from graphs and equations.
  • PC.CS.1.3 Sketch a conic section from its key features.
  • PC.CS.1.4 Write the equation of a conic section from its key features.
  • PC.CS.1.5 Classify a general second-degree equation as a circle, ellipse, parabola, or hyperbola.

Trigonometry (PC.T)

• Make sense of the unit circle and how it relates to trigonometric graphs.
  • PC.T.1.1 Draw angles in standard position in radians and find the quadrant of the terminal side.
  • PC.T.1.2 Convert between radians and degrees.
  • PC.T.1.3 Find arc length and the area of a sector.
  • PC.T.1.4 Use special right triangles to find sine, cosine, and tangent, including for π − x, π + x, and 2π − x.
  • PC.T.1.5 Use reference angles to find the point P(x, y) on the unit circle for an angle.
  • PC.T.1.6 Estimate trigonometric values for any angle.
  • PC.T.1.7 Use the unit circle to explain odd and even symmetry and periodicity of trig functions.
  • PC.T.1.8 Graph all six trigonometric functions and identify key features.
  • PC.T.1.9 Describe and analyze how properties of the unit circle relate.
• Apply trigonometry beyond right triangles.
  • PC.T.2.1 Build models of situations that involve trigonometry.
  • PC.T.2.2 Use the Law of Sines and the Law of Cosines.
  • PC.T.2.3 Find areas of triangles with trigonometry.
  • PC.T.2.4 Solve trig equations with inverse functions and interpret solutions in context.
• Prove trigonometric identities and solve trig equations.
  • PC.T.3.1 Use the structure of trig expressions to find ways to rewrite them.
  • PC.T.3.2 Write equivalent forms that reveal properties of the quantity represented.
  • PC.T.3.3 Check solutions of trig equations with graphs and algebra.
• Explore complex numbers.
  • PC.T.4.1 Add, subtract, and multiply complex numbers using i² = −1.
  • PC.T.4.2 Find conjugates and quotients of complex numbers in rectangular form.
  • PC.T.4.3 Solve quadratic equations that have complex solutions.