# Math

**Algebra I**

9th Grade

Prerequisites: Pre-Algebra or 8th Grade Math

Full Year - 1 credit

Algebra I gives students the foundations of algebraic concepts and the real number system. Students are introduced to variables, algebraic expressions, equations, functions, inequalities and their graphical representation. Students develop the ability to: explore and solve mathematical problems, think critically, work cooperatively with others, and communicate mathematical ideas clearly.

**Algebra II**

11th Grade

Prerequisites: Algebra I, Geometry

Full Year - 1 credit

Algebra II is designed to develop the skills mastered in Geometry and Algebra I, while introducing new topics including, but not limited to: matrices, complex numbers, solving/graphing polynomial equations, function operations, exponential and logarithmic equations, probability and sequences and series.

**Honors Algebra II**

Full Year - 1 credit

This course covers the same material as Algebra II at a deeper and more complex level. Emphasis is placed on preparing the students for Pre-Calculus Honors and AP Calculus.

**Geometry**

9th/10th Grade

Prerequisite - 8th Grade Math or Pre-Algebra

Full Year - 1 credit

Geometry is designed to build upon students' Algebra skills, focusing on logic and spatial reasoning. Topics covered include, but are not limited to: the coordinate plane, area, volume, points, lines, planes, angles, circles, polygons, constructions, and logical proof.

**Honors Geometry**

9th Grade

Prerequisite - Accelerated 8th Grade Math or Algebra I

Full Year - 1 credit

Geometry is designed to build upon students' Algebra skills, focusing on logic and spatial reasoning. Topics covered include but are not limited to: the coordinate plane, area, volume, points, lines, planes, angles, circles, polygons, constructions, and logical proof. As an honors course, students are expected to perform at a more rigorous level regarding algebraic and logical reasoning. Students taking this course proceed to Algebra II.

**Algebra with Finance**

12th Grade

Prerequisites: Algebra I, Geometry, Algebra II

Full Year - 1 credit

Algebra with Finance builds upon the skills learned in Algebra I, Geometry, and Algebra II to solve financial problems that occur in everyday life. Students solve real-world problems in investing, credit, banking, auto insurance, mortgages, employment, income taxes, budgeting, and planning for retirement by applying the relevant mathematics at a higher level.

**Pre-Calculus**

12th Grade

Prerequisite - Geometry and Algebra II

Full Year - 1 credit

This course explores the graphs of functions and properties of functions as well as graphing transformations. It also examines polynomial and rational functions to a greater degree than Algebra II. Extensive examination of trigonometric functions include the unit circle, graphs, inverses, identities, and essential formulas.

**Honors Pre-Calculus**

11th Grade

Prerequisite - Algebra II, Geometry

Full Year - 1 credit

This course covers the same material as Pre-Calculus but at a more challenging and deeper level. Additionally, students will explore sequences and series as well as find limits algebraically and using tables and graphs in preparation for AP Calculus.

**AP Calculus**

Full Year - 1 credit

This is a college level course designed to prepare students to take the __AP Calculus AB Exam__. Students will calculate limits algebraically, graphically, and using tables. Students examine derivatives as the limit of the difference quotient, the slope of the tangent line, and as instantaneous rate of change. Students apply applications of the derivative including optimization, absolute and local extreme, related rates, slope fields, and implicit differentiation. Students examine the integral as a limit of Reimann sums, using it to find the area of a region and find the distance traveled by a particle. Antidifferentiation techniques include "u-substitution" and solving separable differential equations. Volumes of revolution are computed using the washer and shell methods.