Liberty High School
Course: ALGEBRA I
Description: Algebra I is the study of mathematical functions. Functions are used to represent the systematic dependence of one quantity on another. This course depends on a student’s ability to manipulate symbols and solve problems. Key topics include patterns; linear functions, equations, and graphing; systems of linear equations and inequalities; exponents; polynomials; quadratics; and other non-linear functions.
Credit: 1 Grade Placement: 9
Description: Geometry is the study of the shapes and solids in our world, two-dimensional as well as three-dimensional. Topics include points, lines, planes, and angles; parallel and perpendicular lines; congruent triangles; quadrilaterals; proportion and similarity; right triangles and trigonometry; circles; polygons; and solids. This course emphasizes logical reasoning. Postulates and theorems will be foundational in the learning sequence.
Credit: 1 Grade Placement: 9-12 Prerequisite: Algebra I
Course: MATHEMATICAL MODELS WITH APPLICATIONS
Description: Mathematical Models with Applications is designed to support student acquisition of necessary skills allowing successful completion of Algebra II and successive math courses. Topics include developing strategies to solve routine and non-routine problems; graphical and numerical techniques to study patterns and data; functional relationships related to personal income, credit, and financial planning; algebraic and geometric models to describe, solve, and represent patterns and structures.
Credit: 1 Grade Placement: 10-11
Course: ALGEBRA II
Description: Algebra II requires students to use properties and attributes of functions and apply them in problem situations. A review of algebraic skills required to simplify algebraic expressions and solve equations and inequalities will be incorporated. Topics include formation of systems of equations and inequalities; algebraic and geometric representations of functions; conic sections; quadratic functions, square root functions, exponential functions, logarithmic functions, rational functions; parameter changes and the effects of translations. Extensive use of TI-83 and/or TI-84 graphing technology will be used to build understandings.
Credit: 1 Grade Placement: 9-12 Prerequisites: Algebra I and Geometry
Description: Pre-Calculus includes a brief review of algebraic skills, a study of elementary analysis, trigonometry, and analytic geometry. The elementary functions are studied and include polynomial, exponential, logarithmic, trigonometric functions and their combinations. Natural numbers are investigated in depth, and full treatment is given to planar and spatial analytic geometry, including vectors. Lines, planes, conic sections, other coordinate systems, and parametric representation of curves and surfaces are studied. This is an upper level course with high expectations. The ultimate goal is preparation for college-level courses in mathematics.
Credit: 1 Grade Placement: 10-12 Prerequisite: Algebra II