## Mathematics

**Algebra 1**

**Course Length: 2 semesters**

**Course Credit: 1 per semester**

Course Description: In this course students will review variables, exponents, order of operations, order of exponents, equations and inequalities, tables and graphs. Basic number properties needed for solving equations and inequalities will be introduced. Linear equations and inequalities will be written solved and graphed. Students will be introduced to exponential, quadratic, and polynomial functions. Rational equations and functions as well as radicals and their connections to geometry will be introduced. The lessons in the course are correlated to the Illinois Learning Standards.

**Algebra 1A**

**Course length: 2 semesters**

**Course credit: 1 per semester**

Course Description: This course is the first part of a traditional algebra 1 class, which will complete the material over a two year period. During this first year, students will work with variables, exponents, order of operations, equations and inequalities, tables and graphs. Basic number properties needed for solving equations and inequalities will be introduced. Linear equations and inequalities will be written, solved, and graphed. The lessons in this course are correlated to the Illinois learning standards.

**Algebra 1B**

**Prerequisites: Algebra IA or 1st semester Algebra I**

**Course length: 2 semesters**

**Course credit: 1 per semester**

Course description: This course is the second part of a traditional algebra 1 class. Students will review concepts of linear equations and equalities. Introduction to exponential, quadratic and polynomial functions will occur. Rational equations and functions as well as radicals will be introduced. A unit of introduction to geometry will also be covered. The lessons in this course are correlated to the Illinois learning standards.

**Applied Geometry**

**Prerequisites: Algebra IB**

**Course Length: 2 semesters**

**Course Credit: 1 per semester**

Course Description: Applied Geometry is a class that covers geometry concepts for the student who is not planning to attend a traditional four-year college. The class begins by going over basic concepts of geometry including points, lines, planes, segments, and angles. Then the class covers parallel and perpendicular lines, triangles, congruency properties of triangles, quadrilaterals, similarity, polygons, surface are and volume of three-dimensional figures, and introduction to right triangles and trigonometry, and circles. A review of concepts from Algebra I will be included. Some elements of proof may be included in the class.

**Geometry**

**Prerequisite: Algebra I**

**Course Length: 2 semesters**

**Course Credit: 1 per semester**

Course Description: This course will enable students to use logic and reasoning to apply principles of Euclidean geometry to draw conclusions about geometric figures in both two and three dimensions. Students will learn how to communicate their findings through a variety of formats in writing proofs, and will use the basic tools of geometry to further their understanding of geometric relationships.

**Algebra 2**

**Prerequisite: Geometry**

**Course Length: 2 semesters**

**Course Credit: 1 per semester**

Course Description: This course is designed to follow geometry. After a review of basic algebra and geometry skills, the course will include the following topics: analysis and graphing linear equations and inequalities, solving systems of linear equations and inequalities, exploring polynomials, radical expressions, exponential and logarithmic functions, and quadratic functions and inequalities, analyzing conic sections, and an introduction to sequences and series, trigonometric functions and identities. These topics will be integrated and connected to different braches of mathematics as well as related to real-life events.

**Statistics**

**Prerequisite: Geometry**

**Course Length: 1 semester**

**Credits: 1 Credit**

Course Description: Statistics is designed to provide students the tools necessary to be able to work with real data, and make good decisions using statistical analysis. A series of guided discussions mixed with practice allows the student to grasp the overall concept of statistical analysis. Use of technology, including both the graphing calculator and computer, will be integrated throughout the lessons. Topics to be covered will include distributions, quantitative variables, surveys and experiments, sampling, probability, regression, and binomial and normal probability distributions.

**Trigonometry**

**Prerequisite: Algebra 2**

**Course Length: 2 semesters**

**Credits: 1 per semester**

Course Description: This course is a dual credit course with Kaskaskia College. Trigonometry is a college-prep class designed to better prepare a student for entry to college level classes. Students must have successfully completed Algebra 2. Topics to be considered will include radian and degree measures, the six trigonometric functions, graphing trig functions, solving trigonometric equations, law of sines, law of cosines, vectors, complex number, exponential functions, logarithmic functions and their graphs, conics, polar coordinates, and analytic geometry.

**Pre-Calculus / Discrete Mathematics**

**Prerequisite: Algebra 2**

**Course Length: 2 semesters**

**Course Credits: 1 per semester**

Course Description: This course is a dual credit course with Kaskaskia College. This course is designed for students who have completed algebra II. the first semester is designed to prepare students to take college calculus by focusing on pre-calculus topics which include analytic geometry and the study of polynomial, rational, radical, logarithmic, and exponential functions. in addition, a unit on operations with matrices, partial fraction decomposition, systems of linear inequalities and linear programming will be included. a unit approach will be utilized to study the following topics during the second semester: right and oblique triangles and their applications to the real world; graphing and solving problems involving sinusoids; a study of conic sections including parabolas, ellipses and hyperbolas and translations and rotations of axes; recursively defined functions; arithmetic and geometric sequences and series; combinatory problems involving permutations, combinations, k-samples, and k-sections; elementary probability theory with emphasis on experimental probability to develop theoretical probability.

**AP Calculus**

**Prerequisite: Pre-calculus / Discrete Mathematics**

**Course Length: 2 semesters**

**Course Credit: 1 per semester**

Course Description: This course is a dual credit course with Kaskaskia College. This course is designed specifically for the mathematics student who has completed the Pre-calculus/Discrete Mathematics course. This course will cover a full year and will be taught from a college calculus textbook. The course will cover essentially the same material as an initial, one-semester college calculus course. Topics that will be covered include limits, derivatives and their applications, integrals and their applications, and the study of exponential and logarithmic functions. At the end of the second semester, students will be prepared to take the advanced placement calculus test which may entitle them to receive some college credit in calculus.