Algebra I provides the student with a complete study of first year algebra skills and concepts.  This course provides the necessary introduction and practice to prepare students for a successful study of algebra and sets the foundation for future studies in mathematics.  It includes solving linear equations, solving linear inequalities, solving systems of equations, polynomials, factoring, rational expressions and applications.  Students relate and apply algebraic concepts to geometry, statistics, data analysis, probability, and discrete mathematics.  Pre-Requisite:  Department placement is based on performance on the Entrance Exam.

This course emphasizes making connections within the concept of plane geometry.  Students will be introduced to inductive and deductive reasoning, logic and proof (including flow charts and two-column proofs), thinking more logically and precisely, learning the basic principles of plane and coordinate geometry, developing problem solving skills, fully integrating algebra with geometry, and preparing for more advanced work in mathematics.  Pre-Requisites:  Entering freshmen must have demonstrated mastery performance on the Mathematics Challenge Exam.  Sophomores must have earned a C- or higher in Algebra I and receive department approval.

This course is designed to further explore concepts from Algebra I and Geometry and to further develop math competencies, analysis skills, and logical thinking skills – particularly for students who may not be ready to advance to Algebra II. This course takes a project-based approach to further explore algebraic and geometric concepts within the concept of “real world” application. At the completion of this course, students will have been introduced to or gained further experience in the following areas: direct and inverse variation, linear functions and prediction, systems of equations, transformations, symmetry, proportions, quadratic functions (through motion), exponential functions (through growth and decay modeling), personal finance, math history, and probability.  Pre-Requisite:  Students must have passed Algebra I and be placed in this course by the department.  Most students will take this course after passing Geometry.  NB:  This course is a terminal math class for most students.  It will not qualify students to move on to Algebra II.

This course is designed to further explore concepts from Algebra I and to introduce new, more advanced, algebraic concepts. At the completion of this course, students will have been introduced to or gained further experience in the following areas: equations and inequalities, linear relations and functions, systems of equations, matrices, polynomial and radical expressions, quadratic functions and inequalities, polynomial functions, rational expressions, logarithmic functions, sequences and series, and probability. Pre-Requisites: Students must have earned a C or higher in Algebra I or a C or higher in the previous year’s mathematics course.

This course is an advanced and accelerated math class that develops a fuller understanding of the complete number system, develops skills in the use of graphing calculators, develops analysis and problem-solving skills, and helps students to be better prepared to take standardized tests.  This course includes solutions of equations and inequalities, including both quadratic and rational inequalities and absolute value equations and inequalities, and systems of equations and inequalities.   It also includes functions and graphing, polynomial and rational functions, exponential and logarithmic functions, conic sections, and sequences and series.  Students who earn a C- or higher earn an extra grade point towards their Justin-Siena grade point average.  This course is not UC-approved for Honors Credit.  Pre-Requisites:  Students must have earned 93% or higher in Geometry or 80% or higher in Honors Geometry and receive department approval after submitting the online application by the published deadline. Estimated homework load / types of homework required:  Homework is assigned every day that the class meets.  The time needed is usually an hour to an hour and a half.  It is due the next class period.  Quarterly projects add three to five hours more per quarter.

This course provides an introduction to the fundamental concepts and methods of statistics and probability. This course consists of an introduction to descriptive statistics and statistical inference. Topics include basic measures of central tendency and variability, elementary probability theory, sample sizes, hypothesis testing, correlation, regression, and analysis of variation. Pre-Requisites: Student must have earned a C- or higher in Algebra II and Geometry.

This course introduces students to the topic of trigonometry in the first semester and the study of mathematical functions in the second semester. Trigonometry includes the study of functions of both acute and obtuse angles, solutions to right and oblique triangles, and radian and degree measure. It also includes graphs of trigonometric functions and their inverses, trigonometric identities, and applications of trigonometric functions and vectors. The second semester includes the study of elementary math functions and applications in problem solving. Graphical analysis is included in all sections with investigations of the behavior of graphs with related equations. Further topics which are explored include sequences and series and exponential and logarithmic functions and their applications. Pre-Requisites: Students must have earned a C+ or higher in Algebra II.

This course develops both the conceptual understanding and the analytical skills necessary to experience success in future studies in Calculus. It includes a complete covering of trigonometry and the applications of trigonometry, matrices and their applications, counting theory and probability, partial fractions, the Binomial Theorem, Mathematical Induction, and a general preparation and introduction to calculus that includes limits, continuity, and derivatives. Students who earn a C- or higher will receive an extra point towards their grade point average. Pre-Requisites: Students must have earned 80% or higher in Honors Algebra II or 93% or higher in Algebra II (with completion of Math Analysis through Summer School) and receive department approval after submitting the online application by the published deadline. Estimated homework load / types of homework required: Homework is given every class period. Each homework assignment takes about an hour to an hour and a half. Quarterly projects add about three to five hours over the course of the quarter.

This course is similar to a first semester college Calculus course and is designed to prepare students for college level Calculus. The course reviews the pre-requisites for Calculus while introducing limits and continuity, derivatives, applications of derivatives, definite integrals, differential equations and mathematical modeling, and the applications of definite integrals.  Pre-Requisites:  Students must have earned a C- or higher in Honors Pre-Calculus or a B- or higher in Pre-Calculus.

Advanced Placement Calculus AB consists of a full academic year of work in calculus comparable to a one semester course in college.  AP Calculus AB is primarily concerned with developing student understanding of the concepts of calculus and providing experience with its methods and applications.  It emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed geometrically, numerically, graphically, and verbally. The connections among these representations are stressed.  Students are required to have their own graphing calculator.  Students must take the Advanced Placement for Calculus AB examination offered in the spring.  Students who earn a C- or higher receive an extra point toward their grade point average.  Pre-Requisites:  Students must have earned 80% or higher in Honors Pre-Calculus and receive department approval after submitting the online application by the published deadline.Estimated homework load / types of homework required:  Summer work: A review of pre-calculus topics is due the first week of school; homework is assigned by section and is due weekly.  Each homework assignment takes an hour and a half to two hours to complete; homework is not accepted late.  Students are also assigned projects for each quarter.  These projects add about three to five hours of work over the course of the first two quarters, and five to seven hours of work over the course of the third and fourth quarters.

Advanced Placement Calculus BC is comparable to a second semester course in colleges and universities.  AP Calculus BC is an extension of AP Calculus AB rather than an enhancement; common topics require a similar depth of understanding.  AP Calculus BC is concerned with developing student understanding of the concepts of calculus and providing experience with its methods and applications.  It emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed geometrically, numerically, graphically and, verbally. The connections among these representations are stressed.  Topics include applications of definite integrals, sequences, L’Hopital’s Rule, improper integrals, infinite series, and Parametric, Vector, and Polar Functions.  Students must take the Advanced Placement Calculus BC examination offered in the spring.  Students who earn a C- or higher receive an extra point toward their grade point average.   Pre-Requisites:  Students must have earned 80% or higher in AP Calculus AB and receive department approval after submitting the online application by the published deadline.Estimated homework load / types of homework required: Summer work: A review of AP Calculus AB topics is due the first week of school; homework is assigned by section and is due weekly.  Homework is not accepted late.  Each assignment takes an hour and a half to two hours to complete.  Students are also assigned projects for Quarter 3 and Quarter 4 which add about five to seven hours of work over the course of the quarters.