Gizmos for Oklahoma - Mathematics: Precalculus (Academic Standards adopted 2022)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

PC.F: : Functions

PC.F.1: : Analyze functions and relations.

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: : Build functions to model and validate relationships among functions.

PC.F.2.4: : Verify by analytical methods that one function is the inverse of another.

PC.F.3: : Predict and verify solutions involving functions.

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.

PC.CS: : Conic Sections

PC.CS.1: : Investigate conic sections.

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.T: : Trigonometry

PC.T.1: : Make sense of the unit circle and its relationship to the graphs of trigonometric functions.

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 pi/3, pi/4 and pi/6, and use the unit circle to express the values of sine, cosine, and tangent for pi – x, pi + x, and 2pi – 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.3: : Verify trigonometric identities and solve equations.

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.4: : Explore complex numbers.

PC.T.4.1: : Use the relation i² = –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.

Correlation last revised: 9/30/2022

Oklahoma - Mathematics: Precalculus

Academic Standards | Adopted: 2022

PC.F: : Functions

PC.CS: : Conic Sections

PC.T: : Trigonometry