REQUIRED COURSE LEARNING OUTCOMES:

 1.  Demonstrate arithmetic fluency.

 2.  Manipulate algebraic expressions.

 3.  Solve equations.

 4.  Solve inequalities.

 5.  Solve systems.

 6.  Analyze functions.

 7.  Use appropriate technology.

 RECOMMENDED COURSE LEARNING OUTCOMES:

 1.  Apply productive strategies for achieving success in mathematics.

 2.  Identify the influence of mindsets, emotions, and thoughts on learning.

 RECOMMENDED TOPICAL OUTLINE:

 I.    Arithmetic fluency

          A.  Order of operations

          B.  Signed numbers

          C.  Fractions

 II.   Algebraic expressions

          A.  Rules of exponents

          B.  Arithmetic with polynomial, rational, and radical expressions

          C.  Factoring polynomials

          D.  Rationalizing denominators

          E.  Complex numbers

 III.  Equations, inequalities, and systems

          A.  Forms of equations

              1.  linear

              2.  radical

              3.  quadratic

              4.  absolute-value

              5.  rational equations

          B.  Equations reducible to quadratic

          C.  Literal equations

 IV.   Linear inequalities and interval notation

 V.    Systems of linear equations with 2 unknowns

 VI.   Functions

          A.  Slope of a line

          B.  Intercepts of a line

          C.  Construction of linear graphs

              1.  Tables of values

              2.  Intercepts

              3.  Slope-intercept form

          D.  Analysis of functions

 VII.  Graphing technologies

 VIII. Strategies for achieving success in mathematics

          A.  Assistance from a variety of sources

          B.  Self-reflection and introspection

          C.  Performance feedback

          D.  Time management strategies

 IX.   Influence of mindsets, emotions, and thoughts on learning

          A.  Strategies to maintain motivation and persistence

          B.  Habits and beliefs that interfere with success

          C.  Metacognitive awareness

          D.  Self-awareness to plan, monitor, evaluate, and reflect on learning

          E.  Goal setting