Mathematics 

Students gain a conceptual understanding of linear and nonlinear functions. Students focus on the fundamental properties of real numbers, polynomials, rational algebraic expressions, linear equations, quadratic equations, inequalities, functions, radical expressions and equations, and exponents. Students’ knowledge of elementary probability and statistics is expanded. All topics reinforce the skills of cooperative learning, graphing technology, reading, writing, vocabulary, note making and comprehension in a mathematical context. A scientific calculator is required for all math classes; however a TI83+ or TI84+ graphing calculator is highly recommended. 

Prerequisite: Test Scores and/or staff placement from CMMS

Students gain a conceptual understanding of linear and nonlinear functions. Honors Algebra I is taught at a more rigorous pace that includes additional activities and enrichment opportunities beyond regular Algebra I. Students focus on the fundamental properties of real numbers, polynomials, rational algebraic expressions, linear equations, quadratic equations, inequalities, functions, radical expressions and equations, and exponents. Knowledge of elementary probability and statistics is expanded. All topics reinforce the skills of cooperative learning, graphing technology, reading, writing, vocabulary, note making and comprehension in a mathematical context. A TI83+ or TI84+ graphing calculator is required for all students in this class. 

Prerequisite: Credit for Algebra I  

Algebra II is designed for students to gain a deeper understanding of Algebra I and Geometry concepts. The study of number properties is extended to include complex, rational, and irrational numbers. Systems of equations containing two and three variables are not only solved graphically and algebraically, but also using matrices. Linear functions, polynomial functions, rational functions, logarithmic and exponential functions are all studied in-depth. All topics reinforce the skills of cooperative learning, graphing technology, reading, writing, vocabulary, note making and comprehension. A scientific calculator is required for all math classes; however a TI83+ or TI84+ graphing calculator is highly recommended. 

Prerequisite: Credit for H Algebra I 

Honors Algebra II is taught at a more rigorous pace that includes activities and enrichment opportunities beyond Algebra II. It is designed to give students a deeper understanding of Algebra I and Geometry concepts. The study of number properties is extended to include complex, rational, and irrational numbers. Systems of equations containing two and three variables are solved graphically, algebraically, and with matrices. Linear functions, polynomial functions, rational functions, logarithmic and exponential functions are studied in-depth. Students are introduced to trigonometry as well as sequences and series. All topics reinforce the skills of cooperative learning, graphing technology, reading, writing, vocabulary, note making and comprehension. A TI-83+ or TI-84+ graphing calculator is required for all students in this class. 

Prerequisite: D or better in Algebra I

In Geometry, students study properties, measurement, and relationships of points, lines, angles, surfaces and solids. Students use deductive reasoning to formulate convincing explanations for conjectures and solutions. Special attention is given to concepts of congruence, similarity, coordinate geometry, right triangle trigonometry and inductive reasoning. A scientific calculator is required for all math classes; however a TI83+ or TI84+ graphing calculator is highly recommended. Students are required to complete a summer enrichment assignment prior to the start of the school year. 

Honors Geometry is taught at a more rigorous pace that includes additional activities and enrichment opportunities beyond Plane Geometry. Students study properties, measurement, and relationships of points, lines, angles, surfaces and solids. Students use deductive reasoning to formulate convincing explanations for conjectures and solutions. Special attention is given to concepts of congruence, similarity, coordinate geometry, right triangle trigonometry and inductive reasoning. Honors Geometry is taught at a pace necessary to include additional activities and enrichment opportunities beyond regular Geometry. A TI83+ or TI84+ graphing calculator is required for all students in this class. 

Prerequisite:  Credit for H. Algebra II (H) or department recommendation

AP Pre-Calculus will explore the construct and dynamics of various types of functions and the rules upon those functions.  There are four major content focuses: 1) Polynomials and rational functions, 2) Exponential and logarithmic functions, 3) Trigonometric and polar functions, and 4) Functions involving parameters, vectors, and matrices.  Students will be prepared for and expected to take the Advanced Placement exam in May.  A TI83+ or TI84+ graphing calculator is required for all students in the class.  Problem-solving will focus on analytical, tabular, and graphical representations.

Prerequisite: Passed AP Pre-Calc or H Alg II Trig

The study of calculus allows students to synthesize their learning from algebra, geometry, trigonometry and other previously taken courses. Students will study limits and the application to differentiation and integration of algebraic, trigonometric, exponential, and logarithmic functions. Applications introduced are velocity, areas, acceleration, maximum/minimum, related rates, volumes, and additional topics. This course follows the College Board’s curriculum. Students will be prepared for and required to take the Advanced Placement exam in May. A TI83+ or TI84+ graphing calculator is required for all students in this class. 

Prerequisite: Passed AP Pre-Calc or H Alg II Trig

This course builds upon all of the concepts of AP Calculus A/B and then introduces more advanced calculus in the areas of integration, parametric equations, polar equations, and infinite series.  Students will receive two scores on the AP test: one A/B score and one B/C score.  Approximately 60% of the curriculum is the same as A/B, and 40% of the curriculum is unique to B/C.

Prerequisite: "C" or better in Algebra II

This course focuses on design study, collecting and analyzing data, and interpreting results as well as the study of probability and statistical interference. Students will critically evaluate data and recognize its patterns and influences. This statistics course will allow students the opportunity to gain experience in developing their understanding of the concepts of quantitative and qualitative literacy. All topics reinforce the skills of cooperative learning, graphing technology, reading, writing, comprehension, vocabulary, and note making. A TI83+ or TI84+ graphing calculator is required for all students in this class. 

This is a writing-intensive course that focuses on analysis of data. It includes design study, collecting and analyzing data, and interpreting results as well as the study of probability and statistical interference. Students will critically evaluate data and recognize its patterns and influences. This statistics course will allow students the opportunity to gain experience in developing their understanding of the concepts of quantitative and qualitative literacy. This course follows the College Board’s curriculum. Students will be prepared for and required to take the Advanced Placement exam in May. A TI83+ or TI84+ graphing calculator is required for all students in this class. 

AP Computer Science is comparable to a one semester course in a university computer science department. The Java language is the vehicle for implementing computer-based solutions to problems. Topics include an introduction to JAVA applets and applications, an introduction to objects and data types, text files, control structures, simple GUI’s, looping, recursion, one dimensional arrays, sorting and searching algorithms, class design, Array Lists, interfaces and polymorphism, inheritance, and the Grid World Case Study. 

This course is designed for students intending to pursue a non-math and non- science major at the college level. This course will integrate numeracy, proportional reasoning, algebraic reasoning, and functions. Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. Throughout the course, college readiness content will be integrated with mathematical topics. Any student who passes the second semester final exam with a score of a C or better will be placed in Math 112 or Math 115 if they enroll at Prairie State College within 18 months after taking this course. 

This course is a dual credit course with Prairie State College. The course provides students with an opportunity to acquire a reasonable level of statistical literacy and thus expand their base for understanding a variety of work-related, societal, and personal problems, and statistical approaches to the solution of these problems. The main objective of the course is statistical reasoning. Detailed techniques of statistical analysis and the mathematical development of statistical analysis of statistical procedures are not emphasized. This course is intended to meet postsecondary general education requirements. 

Business Math with Algebra allows students to apply algebra concepts to a variety of business and financial situations. This course reinforces general math topics (e.g., arithmetic, measurement, statistics, ratio and proportion, exponents, formulas, and simple equations) by applying these skills to business problems and situations; applications might include income, wages, hourly rates, payroll deductions, insurance, credit, banking, taxation, stocks and bonds, finance, sales, receipts, accounts payable and receivable, financial reports, discounts, and interest. A scientific calculator is required for all math classes; however a TI83+ or TI84+ graphing calculator is highly recommended.