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Oklahoma: Precalculus (PC) Math Standards

36 standards · 3 domains

CONIC SECTIONS (CS)

PC.CS.1.1 Model real-world situations which involve conic sections.
PC.CS.1.2 Identify key features of conic sections (foci, directrix, radii, axes, asymptotes, center) graphically and algebraically.
PC.CS.1.3 Sketch a graph of a conic section using its key features.
PC.CS.1.4 Write the equation of a conic section given its key features.
PC.CS.1.5 Given the equation 𝑎𝑥^2 + 𝑏𝑦^2 + 𝑐𝑥 + 𝑑𝑦 + 𝑒 = 0, determine if the equation represents a circle, ellipse, parabola, or hyperbola.

FUNCTIONS (F)

PC.F.1.1 Interpret characteristics of a function defined by an expression in the context of the situation.
PC.F.1.2 Sketch the graph of a function that models a relationship between two quantities, identifying key features.
PC.F.1.3 Interpret characteristics of graphs and tables for a function that models a relationship between two quantities in terms of the quantities.
PC.F.1.4 Describe end behavior, asymptotic behavior, and points of discontinuity.
PC.F.1.5 Determine if a function has an inverse. Algebraically and graphically find the inverse or define any restrictions on the domain that meet the requirement for invertibility, and find the inverse on the restricted domain.
PC.F.2.1 Model relationships through composition, and attend to the restrictions of the domain.
PC.F.2.2 Rewrite a function as a composition of functions.
PC.F.2.3 Interpret the meanings of quantities involving functions and their inverses.
PC.F.2.4 Verify by analytical methods that one function is the inverse of another.
PC.F.3.1 Predict solutions involving functions that are quadratic, polynomial of higher order, rational, exponential, and logarithmic.
PC.F.3.2 Graphically verify solutions involving functions that are quadratic, polynomial of higher order, rational, exponential, and logarithmic.
PC.F.3.3 Algebraically verify solutions involving functions that are quadratic, polynomial of higher order, rational, exponential, and logarithmic.

TRIGONOMETRY (T)

PC.T.1.1 Draw and recognize angles in standard position using radian measure, and determine the quadrant of the terminal side.
PC.T.1.2 Convert radian measure to degree measure and vice-versa.
PC.T.1.3 Find the length of an arc and the area of a sector on a circle.
PC.T.1.4 Use special triangles to determine geometrically the values of sine, cosine, tangent for , and use the unit circle to express the values of sine, cosine, and tangent for 𝜋 − 𝑥, 𝜋 + 𝑥, and 2𝜋 − 𝑥 in terms of their values for x, where x is any real number.
PC.T.1.5 Use reference angles to determine the terminal point P(x, y) on the unit circle for a given angle.
PC.T.1.6 Estimate trigonometric values of any angle.
PC.T.1.7 Apply the properties of a unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
PC.T.1.8 Graph of all six trigonometric functions, identifying key features.
PC.T.1.9 Describe and analyze the relationships of the properties of a unit circle.
PC.T.2.1 Create models for situations involving trigonometry.
PC.T.2.2 Apply the Law of Sines and Law of Cosines to solve problems.
PC.T.2.3 Use trigonometry to find the area of triangles.
PC.T.2.4 Use inverse functions to solve trigonometric equations; evaluate the solution and interpret them in terms of context.
PC.T.3.1 Algebraically manipulate the structure of a trigonometric expression to identify ways to rewrite it.
PC.T.3.2 Choose and produce an equivalent form of an expression to explain the properties of the quantity represented by the expression.
PC.T.3.3 Graphically and algebraically verify solutions to trigonometric equations.
PC.T.4.1 Use the relation 𝑖^2 = −1 and the mathematical properties to add, subtract, and multiply complex numbers.
PC.T.4.2 Find the conjugate of a complex number in rectangular forms and quotients of complex numbers.
PC.T.4.3 Solve quadratic equations in one variable that have complex solutions.