Liberal Arts Mathematics 2
Liberal Arts Mathematics 2 is a full-year, high school math course intended for the student who has successfully completed the prerequisite course Algebra1 and Geometry, or Liberal Arts Math 1. This course focuses on algebraic techniques and methods in order to develop student understanding of advanced number theory, concepts involving linear, quadratic, rational, exponential, logarithmic, polynomial functions, and pre-calculus theories. This course also integrates geometric concepts and skills throughout the units.
By the end of the course, students will be expected to do the following:
- Understand set notation and the structure of mathematical systems.
- Identify, classify, calculate and perform operations with real and imaginary numbers.
- Know how to use functional notation and operations on functions.
- Simplify and perform operations for algebraic fractions.
- Write and solve algebraic proportions.
- Perform operations on polynomials, including factoring, long division, and synthetic division.
- Solve algebraic word problems involving mixtures, motion, money, integers, and work.
- Evaluate and solve rational and radical expressions and equations.
- Investigate and model rational and radical functions in real world situations.
- Solve systems of equations and inequalities with graphing, substitution, and matrices.
- Graph and solve quadratic equations, including conic sections.
- Use coordinates to prove simple geometric theorems algebraically, including quadrilaterals and circles.
- Prove slope criteria and write equations for parallel and perpendicular lines.
- Derive the equation of a circle given the center and radius, using Pythagorean Theorem.
- Graph and solve exponential and logarithmic equations.
- Calculate permutations, combinations, and complex probabilities.
- Interpret sample surveys, normal distributions, experiments and observational studies.