111Z Course Learning Outcomes

• 111Z.CLO.1 Explore the concept of a function numerically, symbolically, verbally, and graphically and identify properties of functions both with and without technology. 

• 111Z.CLO.2 Analyze polynomial, rational, exponential, and logarithmic functions, as well as piecewise-defined functions, in both algebraic and graphical contexts, and solve equations involving these function types. 

• 111Z.CLO.3 Demonstrate algebraic and graphical competence in the use and application of functions including notation, evaluation, domain/range, algebraic operations & composition, inverses, transformations, symmetry, rate of change, extrema, intercepts, asymptotes, and other behavior. 

• 111Z.CLO.4 Use variables and functions to represent unknown quantities, create models, find solutions, and communicate an interpretation of the results.

• 111Z.CLO.5 Determine the reasonableness and implications of mathematical methods, solutions, and approximations in context.

112Z Course Learning Outcomes

• 112Z.CLO.1 Translate among various systems of measure for angles including radians, degrees, and revolutions. 

• 112Z.CLO.2 Represent, manipulate, and evaluate trigonometric expressions in terms of sides of a right triangle and in terms of the coordinates of a unit circle. 

• 112Z.CLO.3 Graph, transform, and analyze trigonometric functions using amplitude, shifts, symmetry, and periodicity. 

• 112Z.CLO.4 Manipulate trigonometric expressions and prove trigonometric identities. 

• 112Z.CLO.5 Solve trigonometric equations using inverses, periodicity, and identities. 

• 112Z.CLO.6 Define, represent, and operate with vectors both geometrically and algebraically.

• 112Z.CLO.7 Apply the law of sines and the law of cosines to determine lengths and angles.

• 112Z.CLO.8 Use variables, trigonometric functions, and vectors to represent quantities, create models, find solutions, and communicate an interpretation of the results.

• 112Z.CLO.9 Determine the reasonableness and implications of mathematical methods, solutions, and approximations in context.