 # Math

Description: Algebra I develops a rich understanding of fundamental algebraic ideas in realistic settings. Topics include data and probability, variables, operations and properties of real numbers, equivalent expressions and equations, solving and graphing linear equations and inequalities, and systems of equations and inequalities. Special emphasis is placed on developing an understanding of functions. An introduction to quadratic functions is included in the course. Applications, geometry, and statistics are used to develop the algebra of linear equations and inequalities. Problem‐solving strategies are also taught.

Prerequisite(s): Algebra I and 8th-grade Math

Description: This formal study of Euclidian geometric systems, and the logic behind the development of such systems. This course develops students’ critical thinking skills. Inductive reasoning is utilized to make conjectures about the relationships in geometric figures; deductive reasoning is used to confirm these conjectures. The study of these relationships is used to solve geometry problems. Connections are made between geometric concepts and previously studied algebraic concepts. Attention is focused on Euclidean geometry, transformation geometry, and coordinate geometry.

Calculus – Honors Grade Level 12

Prerequisite(s): Honors Pre-Calculus, Honors Algebra II, Honors Geometry and Algebra I

Description: Calculus Honors is designed to help students understand and apply the three big ideas of Calculus: limits, derivatives and integrals. The course focuses on: trigonometric functions; relations between functions, solutions of triangles with applications to practical problems; trigonometric formulas and identities; radian measurement; graphic representation of trigonometric functions; inverse trigonometric functions, and trigonometric equations.

Prerequisite(s): Algebra I and Geometry

Description: This course builds on the skills of previous courses and leads to the study of general algebraic theories and transcendental functions such as logarithmic and exponential. This course will develop the conceptual understanding and the procedural skills needed to use mathematics effectively, to provide for the further study of mathematics, and to make life-long learning a reality.

Pre-Calculus – Honors Grade Level 11

Prerequisite(s): Honors Algebra I, Honors Geometry, Honors Algebra II

Description: Pre-Calculus – Honors is an advanced math course designed to meet the needs of students who wish to extend their knowledge of mathematics and intend to enroll in calculus, physics, or college algebra. This course is broken into four major topics: (1) polynomial, rational, exponential, and logarithmic functions: (2) triangle trigonometry, trigonometric functions, and advanced trigonometric applications; (3) sequences and series; and (4) conic sections.

## Math Department

Mr. Michael Carey mcarey@purpleknights.com