Competency+Goals+and+Objectives


 * ~ **Number and Operations** ||
 * ~ **Competency Goal 1** ||~ The learner will perform operations with complex numbers, matrices, and polynomials. ||
 * || **Objectives**


 * 1.01** Simplify and perform operations with rational exponents and logarithms (common and natural) to solve problems.


 * 1.02** Define and compute with complex numbers.


 * 1.03** Operate with algebraic expressions (polynomial, rational, complex fractions) to solve problems.


 * 1.04** Operate with matrices to model and solve problems.


 * 1.05** Model and solve problems using direct, inverse, combined and joint variation. ||
 * ~ **Algebra** ||
 * ~ Competency Goal 2 ||~ The learner will use relations and functions to solve problems. ||
 * || **Objectives**


 * 2.01** Use the composition and inverse of functions to model and solve problems; justify results.


 * 2.02** Use quadratic functions and inequalities to model and solve problems; justify results.
 * 1) Solve using tables, graphs, and algebraic properties.
 * 2) Interpret the constants and coefficients in the context of the problem.


 * 2.03** Use exponential functions to model and solve problems; justify results.
 * 1) Solve using tables, graphs, and algebraic properties.
 * 2) Interpret the constants and coefficients in the context of the problem.


 * 2.04** Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve problems involving sets of data.
 * 1) Interpret the constants, coefficients, and bases in the context of the data.
 * 2) Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.


 * 2.05** Use rational equations to model and solve problems; justify results.
 * 1) Solve using tables, graphs, and algebraic properties.
 * 2) Interpret the constants and coefficients in the context of the problem.
 * 3) Identify the asymptotes and intercepts graphically and algebraically.


 * 2.06** Use cubic equations to model and solve problems.
 * 1) Solve using tables and graphs.
 * 2) Interpret constants and coefficients in the context of the problem.


 * 2.07** Use equations with radical expressions to model and solve problems; justify results.
 * 1) Solve using tables, graphs, and algebraic properties.
 * 2) Interpret the degree, constants, and coefficients in the context of the problem.


 * 2.08** Use equations and inequalities with absolute value to model and solve problems; justify results.
 * 1) Solve using tables, graphs, and algebraic properties.
 * 2) Interpret the constants and coefficients in the context of the problem.


 * 2.09** Use the equations of parabolas and circles to model and solve problems; justify results.
 * 1) Solve using tables, graphs, and algebraic properties.
 * 2) Interpret the constants and coefficients in the context of the problem.


 * 2.10** Use systems of two or more equations or inequalities to model and solve problems; justify results. Solve using tables, graphs, matrix operations, and algebraic properties. ||