Math

APPLIED ALGEBRA I focuses on developing students’ skills and accuracy in algebraic techniques and their applications. There is an emphasis on the connection between theory, practical, and technical skills necessary to be successful in life. This course includes a study of number properties, equations, inequalities, polynomials, and linear functions. Concepts are developed in a flexible, application-based mode that provides for hands-on understanding of the relationships of algebraic concepts through authentic applications. Emphasis is placed on the development of conceptual understanding, logical reasoning, problem solving, and procedural fluency. This is a Keystone course where students are required to take the Keystone Algebra I exam at the end of the course. Throughout the course, students will be enrolled in a mandatory Spartan Period for Keystone Algebra I exam preparation.

1.0 Credit - Full Year

ALGEBRA I focuses on developing students’ skills and accuracy in algebraic techniques and their applications. This course is designed to develop understanding of the real number system.  It includes a study of number properties, equations, inequalities, polynomials, and linear functions. Emphasis is placed on the development of conceptual understanding, logical reasoning, problem solving, and procedural fluency. Concepts are developed through authentic applications. This is a Keystone course where students are required to take the Keystone Algebra I exam at the end of the course. 

Prerequisite: Earn a minimum grade of a C in Grade 8 Mathematics

1.0 Credit - Full Year

APPLIED GEOMETRY utilizes an investigative approach to develop an understanding of the attributes and relationships of geometric objects. It provides an integrated study of congruence, similarity, geometric transformations, geometric measurement and dimension, right triangles, introductory trigonometry, circles, parallelism, and spatial relationships. Both abstract and practical aspects of geometry are addressed. Throughout this course, inductive and deductive reasoning are emphasized in both mathematical and non-mathematical situations. Students will construct conditional statements and conjectures. 

Prerequisite: Successful completion of an Algebra 1 course

Required: Scientific Calculator

1.0 Credit - Full Year

GEOMETRY utilizes an investigative approach to develop an understanding of the attributes and relationships of geometric objects. It provides an integrated study of congruence, similarity, geometric transformations, geometric measurement and dimension, right triangles, introductory trigonometry, circles, parallelism, and spatial relationships. Both abstract and practical aspects of geometry are addressed. Throughout this course, inductive and deductive reasoning are emphasized in both mathematical and non-mathematical situations. Students will construct conditional statements, conjectures, and written justifications. Additionally, students will explore an introduction to geometric proofs.

Prerequisites: Earn a minimum grade of a B in APPLIED  ALGEBRA, a C in ALGEBRA 1, OR successful completion of a middle school ALGEBRA 1 course 

Required: Scientific Calculator

1.0 Credit - Full Year

HONORS GEOMETRY focuses on developing an understanding of the attributes and relationships of geometric objects. This course is designed for students who have achieved high levels in math. It provides an integrated study of congruence, similarity, geometric transformations, geometric measurement and dimension, right triangles, introductory trigonometry, circles, parallelism, and spatial relationships. Both abstract and practical aspects of geometry are addressed. Throughout this course, inductive and deductive reasoning are emphasized in both mathematical and non-mathematical situations.  The major principles of logic are emphasized, while developing the method and meaning of mathematical proof. Students will construct conditional statements, conjectures, and written justifications. Both direct and indirect proofs are used to provide an understanding of two- and three-dimensional relationships.  Summer work is required for this course

Prerequisite: Earn a minimum grade of an A- in algebra 1 or an A- in a middle school Algebra 1 course.

Required: Scientific Calculator

1.0 Credit  - Full Year

In APPLIED ALGEBRA II students will apply their prior mathematical knowledge to develop a more extensive understanding of algebraic concepts. There is an emphasis on the connection between theory, practical, and technical skills necessary to be successful in life. Topics will focus on the study of the complex number system, properties of linear and nonlinear functions and their graphs, equations and inequalities, as well as statistics and probability. Students will be introduced to matrices and determinants to aid in the solution of systems of equations with multiple variables. Concepts are developed in a flexible, application-based mode that provides for hands-on understanding of the relationships of algebraic concepts through authentic applications.

Prerequisite: Successful completion of a GEOMETRY course.

Required: Scientific Calculator

1.0 Credit - Full Year

In ALGEBRA II students will apply their prior mathematical knowledge to develop a more extensive understanding of algebraic concepts.  Topics will focus on the study of the complex number system, properties of linear and nonlinear functions and their graphs, equations, and inequalities, as well as statistics and probability. Students will be introduced to matrices and determinants to aid in the solution of systems of equations with multiple variables.

Prerequisites: Earn a minimum grade of a B in APPLIED GEOMETRY, a C in GEOMETRY, OR successful completion of a middle school GEOMETRY course.

Required: Scientific Calculator

1.0 Credit - Full Year

HONORS ALGEBRA II is designed for students who have earned high levels of achievement in mathematics. Students will apply their prior mathematical knowledge to develop a more extensive understanding of algebraic concepts.  Topics will focus on an in-depth study of the complex number system, properties of linear and nonlinear functions and their graphs, equations and inequalities, as well as statistics and probability. Students will be introduced to matrices and determinants to aid in the solution of systems of equations with multiple variables. Periodic functions and trigonometry will be studied while utilizing the unit circle in degrees and radians. 

Prerequisites: Earn a minimum grade of an A in Geometry, an A- in Honors Geometry, or a B+ in a middle school Geometry course; AND Earn a minimum grade of an A in Applied Algebra I, an A- in Algebra I, or successful completion of a middle school Algebra I course (Grade Algebra 1, or 8th Grade Algebra 1)

Required: TI-84 Plus or TI-Nspire Calculator 

1.0 Credit - Full Year

This course is offered to college bound juniors and seniors.  Success in college level mathematics begins with a good understanding of algebraic concepts.  The goal of this course is to help students develop this understanding.  Topics covered include:  special products, factoring, radicals, rational exponents, and linear and quadratic equations and inequalities.  These concepts are then applied to topics such as:  complex numbers, rational polynomials, exponential functions, and higher degree equations

LCCC MAT 160 - Dual Enrollment

Prerequisites: A minimum grade of a C in Algebra II and a C in Geometry or C- in Honors Geometry

Required: TI-84 Plus Calculator

1.0 Credit - Full Year

PRE-CALCULUS is designed to prepare students for the study of calculus. A more complex understanding of prior mathematical knowledge will be applied to algebraic and geometric concepts. Content will include linear, polynomial, rational, exponential, logarithmic, and trigonometric functions, as well as their graphs. The six trigonometric functions will be investigated.  Students will deepen their knowledge of systems, matrices and determinants.

Prerequisites: Earn a minimum grade of a A in APPLIED ALGEBRA II, a B in ALGEBRA II, or successful completion of HONORS ALGEBRA II.

Required: Scientific Calculator 

1.0 Credit - Full Year

HONORS PRE-CALCULUS is designed for students who have earned high levels of achievement in mathematics. This course is designed to prepare students for the study of calculus. A more complex understanding of prior mathematical knowledge will be applied to algebraic and geometric concepts. Content will include linear, polynomial, rational, exponential, logarithmic, and trigonometric functions, as well as their graphs. The six trigonometric functions will be investigated.  Students will deepen their knowledge of systems, matrices and determinants. Additional topics in analytic geometry, conics and polar coordinates, sequences and series, limits and continuity will be investigated.  Summer work is required for this course

Prerequisites: Earn a minimum grade of a A- in ALGEBRA II or a B+ in HONORS ALGEBRA II.

Required: Scientific and Graphing Calculator

1.0 Credit - Full Year

CALCULUS is designed for students who are interested in an introduction to basic calculus concepts. Content focuses on functions, limits, methods and applications of differentiation. Students who may want to take calculus in college would benefit from taking this course.

Prerequisites: Successful completion of PRE-CALCULUS course

Required: Scientific Calculator 

1.0 Credit - Full Year

HONORS CALCULUS is designed for students who have earned high levels of achievement in mathematics. Content focuses on functions, limits, methods and applications of differentiation and integration. Students who are interested in pursuing careers in business, science, mathematics, engineering, or related areas would benefit from taking a calculus course.

Prerequisites: A minimum grade of C+ in PRE-CALCULUS, or C- in HONORS PRE-CALCULUS.

Required: TI-84 Plus or TI-Nspire Graphing Calculator 

1.0 Credit - Full Year

The AP CALCULUS AB course is designed for the study of mathematical topics comparable to a first year calculus course in most colleges and universities.  Upon successfully completing the AP exam at the end of the course, some institutions might offer full credit for the first semester of calculus while others might give credit for the entire year and begin students in the second-year of the college sequence.  

Because of the demanding nature of this course, it should only be attempted by students that are highly motivated and ready for such work.  Students are advised to consult with their parents, teachers, and school counselors before selecting any AP course.  Students will have the option of taking the AP exam for college credit at the end of the course at their own expense.  Summer work is required for this course.

Eligible for Dual Enrollment Credit through the University of Pittsburgh and Seton Hall University

Prerequisite: Successful completion of AP CALCULUS AB or a score of 3 or higher on the AP CALCULUS AB Exam.

Required: TI-84 Plus or TI-Nspire Graphing Calculator

1.0 Credit - Full Year

AP CALCULUS BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations and introduces the topics of sequences and series.  The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the fundamental theorem of calculus, and series.  The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations.  Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.  

Because of the demanding nature of this course, it should only be attempted by students that are highly motivated and ready for such work.  Students are advised to consult with their parents, teachers, and school counselors before selecting any AP course.  Students will have the option of taking the AP exam for college credit at the end of the course at their own expense.  

Summer work is required for this course.

Eligible for Dual Enrollment Credit through the University of Pittsburgh and Seton Hall University

Prerequisite: Successful completion of AP CALCULUS AB or a score of 3 or higher on the AP CALCULUS AB Exam.

Required: TI-84 Plus or TI-Nspire Graphing Calculator

1.0 Credit - Full Year

The AP STATISTICS course is designed to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.  Students will be exposed to four broad conceptual themes:  exploring data; planning a study; anticipating patterns, and statistical inference.  Upon successful completion of the AP examination at the end of the course, some institutions might offer full credit for the first semester of Statistics. 

Summer work is required for this course.

Because of the demanding nature of this course, it should only be attempted by students that are highly motivated and ready for such work.  Students are advised to consult their parents, teachers, and school counselors before selecting any AP course.  Students will have the option of taking the AP exam for college credit at the end of the course at their own expense.  

Eligible for Dual Enrollment Credit through the University of Pittsburgh and Seton Hall University

Prerequisite: A minimum grade of B+ in ALGEBRA II or a B+ in PROBABILITY & STATISTICS.

Required: TI-84 Plus or TI-Nspire Graphing Calculator

1.0 Credit - Full Year

STATISTICS AND PROBABILITY introduces students to foundational concepts and logic of statistical reasoning. It provides students introductory level practical ability to choose, generate, and properly interpret appropriate descriptive and inferential statistical methods.  In addition, the course helps students gain an appreciation for the diverse applications of statistics and its relevance to their lives and future fields of study.  Fundamental and advanced topics including the counting principle, permutations, combinations and the Central Limit Theorem will also be covered.  A graphing calculator will be an integral part of this course.

Prerequisite: A minimum grade of an A- or higher in APPLIED ALGEBRA II, a C in Algebra II, or successful completion of Honors Algebra II. 

Required: TI-84 Plus or TI-Nspire Calculator 

1.0 Credit - Full Year

SURVEY OF STATISTICS introduces students to data collection and interpretation.  Students will explore study design, sampling techniques, data analysis, and inference.  The course presents statistics in an investigative approach helping students gain an appreciation for the diverse applications of statistics and its relevance to their lives and future fields of study.

Prerequisite: Successful completion of a GEOMETRY course

.5 Credit - Half Year

ALGEBRA III is designed to extend student learning in the areas of algebra.  Content will include linear, polynomial, rational, exponential, and logarithmic functions, as well as their graphs.  Students will deepen their knowledge of systems, matrices and determinants.

Prerequisite: Successful completion of an ALGEBRA II course.

.5 Credit - Half Year

TRIGONOMETRY is a study of the theory and application of periodic functions related to angles and lengths of a triangle.  students will expand their knowledge of the basic trigonometric functions and go beyond what they have previously learned in mathematics courses.  Students will explore additional trigonometric  functions and their connection to each other, both graphically and algebraically.  A variety of trigonometric applications will be explored.  The use of fundamental trigonometric identities, double and half angle formulas, graphs of circular functions and problems involving oblique triangles will also be covered.

Prerequisite: Successful completion of a GEOMETRY course

.5 Credit - Half Year

ECONOMIC APPLICATIONS OF MATHEMATICS is designed for students who have successfully completed Geometry.  It stresses the applications of mathematical concepts related to economic principles.  Throughout the course topics focus on budgets, investments, savings, loans, and mortgages.

Prerequisite: Successful completion of a GEOMETRY course

.5 Credit - Half Year

JAVA is receiving a great deal of attention as a highly portable programming language suitable for developing Internet applications and is one of the computer programming languages recommended by the College Board Commission.  This course teaches students to use the standard JAVA library classes from the AP®JAVA subset delineated in Appendices A and B of the AP COMPUTER SCIENCE course description.  Concepts such as classes, objects, inheritance, polymorphism, and code reusability are studied.  Hands-on laboratory work helps solidify each concept.

It can also be used as a general-purpose object-oriented language.  This course covers specifics of writing programs in JAVA including attention to console output, arrays, data types, implementing classes, field variables, methods, constructors, inheritance, graphical user interface, and events.

Because of the demanding nature of this course, it should only be attempted by students that are highly motivated and ready for such work.  Students are advised to consult their parents, teachers, and guidance counselors before selecting any AP course.  Students will have the option of taking the AP exam for college credit at the end of the course at their own expense.  

Summer work is required for this course.

Prerequisite: INTRODUCTION TO COMPUTER SCIENCE II with a minimum grade of B+.

1.0 Credit - Full Year

The AP COMPUTER SCIENCE PRINCIPLES course is designed to be equivalent to a first-semester introductory college computing course.  In this course, students will develop computational thinking skills vital for success across all disciplines, such as using computational tools to analyze and study data and working with large data sets to analyze, visualize, and draw conclusions from trends.  The course is unique in its focus on fostering student creativity.  Students are encouraged to apply creative processes when developing computational artifacts and to think creatively while using computer software and other technology to explore questions that interest them.  They will also develop effective communication and collaboration skills, working individually and collaboratively to solve problems, and discussing and writing about the importance of these problems and the impacts to their community, society, and the world.  Because of the demanding nature of this course, it should only be attempted by students that are highly motivated and ready for such work.  Students are advised to consult with their parents, teachers, and school counselors before selecting any AP course.  Students will have the option of taking the AP exam for college credit at the end of the course at their own expense.   Summer work is required for this course.

Eligible for Dual Enrollment Credit through Seton Hall University

Prerequisite: GEOMETRY concurrent with a minimum grade of B, or HONORS GEOMETRY with a minimum grade of B- or APPLIED GEOMETRY with a minimum grade of A-

1.0 Credit - Full Year

This course explores and develops computer science concepts commonly used in software development. This course will cover the basic syntax, logic, and operations of a structured programming language.  In this course students will develop algorithms and applications and are fully responsible for writing, implementing, documenting, and evaluating their solutions. Students will be responsible for defining problems using prior mathematics, logic, and problem solving skills, writing pseudo code, analyzing data, testing, debugging, and modifying programs in order to solve real world problems.

Eligible for Dual Enrollment Credit through Seton Hall University

Prerequisite: Successful completion of Algebra I 

.5 Credit - Half Year

This course will cover the basic syntax, logic, and operation of the C++ language.  In this course, students will create programs and be fully responsible for writing, implementing, documenting, and evaluating their solutions using the C++ programming language.  Students will be responsible for defining problems, writing pseudo code, and creating flowcharts.  Students will test, debug and modify programs in order to solve real-world problems. 

LCCC CIS 155 - Dual Enrollment

Prerequisite: INTRODUCTION TO COMPUTER SCIENCE I with a minimum grade of B- or successful completion of AP COMPUTER SCIENCE PRINCIPLES 

.5 Credit - Half Year