(HS200014, SCED 02124) 📚1 credit

Full Year

Prerequisite: Pre-Calculus with a credit grade of "A" or a grade of "B" with recommendation of the teacher is integral to the skills needed at this level.

Following the College Board’s suggested curriculum designed to parallel college-level calculus courses, AP Calculus AB provides students with an understanding of the concepts of calculus and experience with its methods and applications. These courses introduce calculus and include the following topics: functions, graphs, limits, and continuity; differential calculus (including definition, application, and computation of the derivative; derivative at a point; derivative as a function; and second derivatives); and integral calculus (including definite integrals and anti-differentiation). Emphasis is placed on understanding processes to enable fluent application of theory to practice. Graphing calculators are an integral part of the program.

A direct goal of this course is to help ensure success on the Advanced Placement Calculus Exam for which students are expected to sit in May. Success on this exam may lead to college credit. A fee is required to take the AP exam.

(HS200001, SCED 02052) 1 credit

Full Year

Algebra I includes the study of properties and operations of the real number system; evaluating rational algebraic expressions; solving and graphing first-degree equations and inequalities; translating word problems into equations; operations with and factoring of polynomials; and solving simple quadratic equations.

Other topics include graphing and solving absolute value equations, linear systems in two variables, and quadratic equations.

(HS200004, SCED 02058) 0.5 credit

Semester

Note: Students successfully completing this course will earn ½ elective credit.

This course is provided as additional support for students concurrently enrolled in Algebra 1. Students will be enrolled into this course based upon teacher recommendation and available standardized data. Algebra 1 Lab may be re-taken for credit.

The primary purpose of this course is to provide individualized support for students to work towards grade-level readiness and success in Algebra 1. All topics of Algebra 1 will be supported, as well as building fluency on foundational concepts and numeracy. Opportunities are given to students to discuss how to apply mathematics in their lives and how to relate math concepts to material previously learned. Students are encouraged to work together to solve problems, just as they will in the workplace. Students learn how to communicate what they know in mathematics by reading, writing, speaking, and listening. Additional topics include solving linear equations, conceptual understanding, and problem-solving skills, integers, ratios, proportions, percent, probability and statistics. Emphasis will be on functions, solving, writing, and graphing linear equations, slope concept, and system of equations. Further study will include the study of polynomials, problem solving and the use of technology.

(HS200002, SCED 02053) 1 credit

Full Year

This is a year-long course that focuses on linear and nonlinear relationships. Investigations will include an emphasis on the algebraic manipulation of inequalities on systems of linear equations, including graphing, transformations, and modeling with linear functions, as well as absolute value. In addition, this course will address various high school Statistics standards, such as scatter plots, graphical displays, and measures of central tendency. Algebra 1A will include a review of operations with rational and real numbers with a focus on linear relationships based on data. Problem solving skills play a major role in the course, and students will learn how to apply data collected from real world situations. Algebra 1A develops the foundation for the mathematical knowledge and skills students need to become college and career ready. By investigating linear inequalities and studying the properties of systems of linear equations, students will come to appreciate the unique properties of abstract algebraic thought. At the same time, they will grow in their understanding of the link between graphical representations of linear and non-linear equations and their algebraic expression. Students who are enrolled in Algebra 1A as Freshmen are expected to take Algebra 1B as Sophomores

(HS200003, SCED 02054) 1 credit

Full Year

The second part in a multi-part sequence of Algebra I, this course generally covers the same topics as the second semester of Algebra I, including the study of properties of the real number system and operations, evaluating rational algebraic expressions, solving and graphing first degree equations and inequalities, translating word problems into equations, operations with and factoring of polynomials, and solving simple quadratics.

(HS200010, SCED 02056) 1 credit

Full Year

This course is a continuation of the concepts taught in Algebra 1. Students will understand when and how to successfully and appropriately apply algebraic techniques to problem solving and reasoning. To enhance a student’s understanding of these situations, an in-depth study of linear, quadratic polynomial, rational, exponential, and logarithmic functions is undertaken. The course expands the number system studied in Algebra 1 to include the complex numbers. Students are introduced to the study of matrices, determinants, and basic trigonometric principles.

Because of its relevance to real-world situations, probability and statistics are included as well. Students have opportunities to discuss mathematical applications in their lives and concepts to material previously learned. They are encouraged to solve problems by collaboration, just as they will in the workplace. Students learn how to communicate what they know in mathematics by reading, writing, speaking, and listening.

Note: Successful completion of Algebra 1 and Geometry with minimum grades of “C” are essential foundations for those selecting this course.

(HS200009, SCED 02056) 1 credit

Full Year

Honors Algebra 2 is a course rigorously designed to help the student master the terminology and concepts of Algebra and Trigonometry. Students receive a brief review of basic axioms and properties, then moves quickly to new and more advanced topics. The course emphasizes the role of Algebra and Trigonometry as the foundation for Calculus. By presenting both Algebra and Trigonometry as the study of classes of functions, students learn the essential unity of the two subjects. Students will develop and be able to apply the skills and strategies necessary to select a successful approach to problem solving. In addition, this course places heavy emphasis on quadratic equations and relations, polynomials, exponential and logarithmic functions, rational functions and matrices.

Note: Successful completion of Geometry Honors with a minimum grade of “B” is an essential foundation for those selecting this course.

(HS200011, SCED 02052) ½ credit

Semester

Note: Students successfully completing this course will earn ½ elective credit .

This course is provided as additional support for students concurrently enrolled in Algebra 2 and may be retaken for credit. Students will be enrolled into this course based upon teacher recommendation and available standardized data. Algebra 2 Lab may be re-taken for credit.

The primary purpose of this course is to provide individualized support for students to work towards grade-level readiness and success in Algebra 2. Students have opportunities to discuss how the application of mathematics in their lives and how to relate math concepts to material previously learned. Students are encouraged to work together to solve problems, just as they will in the workplace. Students learn how to communicate what they know in mathematics by reading, writing, speaking, and listening. Students will understand when and how to successfully and appropriately apply algebraic techniques to problem solving and reasoning. To enhance a student’s understanding of these situations, an in-depth study of Algebra 2 content will be carried out. Additional emphasis will be on communication of mathematical ideas, functions, solving, writing, and graphing equations, and additional study of problem solving and technology.

(HS200013, SCED 02121) 1 credit

Full Year

The course presents Calculus in an intuitive yet intellectually satisfying way and includes the many applications of Calculus to the biological, social, and management sciences. Topics will include but are not limited to functions, limits and their importance, continuity, derivatives, and applications of derivatives, integrals of single valued functions, both algebraic and transcendental. Graphing calculators are an integral part of the program. Note: Successful completion of Pre-Calculus with a credit grade of “B” or better is an essential foundation for those electing this course.

(HS200017, SCED 02155) 1 credit

Full Year

Students will be taught the application of algebra concepts to a variety of business and financial situations. These concepts include income, insurance, credit, banking, taxation, stocks and bonds, budgeting, and other investments. Note: Successful completion of Algebra 1 and Geometry with minimum grades of “C” are essential foundations for those selecting this course.

(HS20006, SCED 02072) 1 credit

Full Year

All of Geometry topics described in the Common Core State Standards (CCSS) are covered in this course. The topics include lines and angles, transformations, congruence and triangles, quadrilaterals and polygons, transformations and similarity, trigonometry, circles, geometry using coordinates and equations, linear and area measurement, and three-dimensional figures and volume. In completing course work during the school year students will be required to apply all CCSS mathematical practices.

Note: Successful completion of Algebra 1 with a minimum grade of “C” is an essential foundation for those electing this course.

(HS200005, SCED 02072) 1 credit

Full Year

This course utilizes the traditional Euclidean model of theorems and postulates using deductive proofs for the development of Geometric knowledge. The laws of logic are used to develop the structure of Geometry. Algebraic topics are integrated into the curriculum and applied in a Geometric setting. Students use the many tools of Geometry to prove geometric figures congruent and similar, and to interpret properties of these figures in an analytical situation. Some of the important topics covered include the Pythagorean Theorem, properties of circles, and the area and volume of two and three-dimensional figures, respectively. All of the Geometry topics described in the Common Core State Standards (CCSS) are covered in this course

Note: Successful completion of Algebra 1 with a minimum grade of “B” is an essential foundation for those electing this course.

(HS200007, SCED 02075) 0.5 credit

Semester

Note: Students successfully completing this course will earn ½ elective credit.

This course is provided as additional support for students concurrently enrolled in Geometry and may be retaken for credit. Students will be enrolled into this course based upon teacher recommendation and available standardized data. Geometry Lab may be re-taken for credit. The primary purpose of this course is to provide individualized support for students to work towards grade-level readiness and success in Geometry. Students will receive intensive instruction building a strong foundation in mathematical skills.

(HS200008, SCED 02071) 1 credit

Full Year

Informal Geometry emphasizes a practical approach to the study of geometry. Topics will include properties of and working with plane and solid figures; inductive methods of reasoning and use of logic; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles.

(HS200012, SCED 02110) 1 credit

Full Year

This is an honors level course for students who have superior preparation in mathematics as well as a sincere interest in math and a willingness to work. This course synthesizes previous math concepts in such a manner as to make understanding of higher mathematics more meaningful to students at a fast pace. The mathematical concepts developed in this course provide a sound basis for a study of Advanced Placement Calculus and Calculus. Topics that will be covered include but are not limited to graphs and transformations of graphs of families of functions, inverses, polynomial, rational functions, parametric, polar functions, conic sections, limits, vectors, sequences an series, and an in depth study of trigonometric functions using both Cartesian and Polar coordinate systems. Areas of study employ a set notation and mathematical language to logically progress from elementary functions on the coordinate system to a more complex and pre-calculus functions and notations.

Note: Successful completion of Algebra 2 Honors with a minimum grade of "B" or better, or recommendation of the teacher, is integral to success in this class.

(HS200018, SCED 02201) 0.5 credit

Semester

This course assimilates prior math concepts in Algebra and Geometry to make higher mathematics meaningful for students and to provide the student with a comprehensive introduction to statistics and probability in areas as sociology, business, ecology, economics, education, medicine and mathematics. Topics that will be covered include but are not limited to distributions, deviations, Normal models, regression, randomness, probability, operations on functions, compositions of functions, graphs and transformations of graphs of families of functions, zeroes of functions, linear, quadratic, logarithmic, polynomial, and rational functions, matrices, and trigonometric functions. Students will learn how to communicate what they know in mathematics by reading, writing, speaking and listening. A component of the course is real world connection to math content standards. Note: Successful completion of Algebra 2 with a minimum grade of “C” is an essential foundation for those selecting this course.

(HS200019, SCED 02138) 0.5 credit

Semester

College Mathematics Preparation will solidify quantitative literacy through the use and extension of algebraic, geometric, and statistical concepts. This course will prepare students for postsecondary liberal studies mathematics coursework. Course content will include algebraic operations, solutions of equations and inequalities, number sets, coordinate geometry, functions and graphs, probability and statistics, and data representation.

(HS200015, SCED 02125) 📚1 credit

Full Year

Prerequisite: AP Calculus (AB) or Calculus with a credit grade of "A" or a grade of "B+" with recommendation of the teacher is integral to the skills needed at this level.

This challenging course is designed primarily as an independent “college level experience” for motivated students. Students are required to take the Advanced Placement Calculus (BC) examination in order to earn the AP designation on their transcript. This class utilizes texts, documents and an extremely demanding pace that correlate to the standards and expectations established by the College Board for Advanced Placement study in this discipline. A direct goal of this course is to help ensure success on the Advanced Placement Exam given in May. Students are strongly encouraged to take this exam as it may lead to college credit. This program develops quite rigorously, the importance of limit, continuity, derivatives, polar, parametric, and vector equations, derivatives and integrals of single valued functions, both algebraic and transcendental, analysis of planar curves including velocity and acceleration, solving logistic differential equations and using them in modeling, polynomial approximations and series, including Taylor and McLaurin series. Emphasis is placed on an understanding of the processes involved so as to enable students to intelligently apply theory to practice. Graphing calculators are an integral part of the program. This course will be scheduled concurrently with AP Calculus (AB).

Note: The AP exam is given in May. A fee is required to take the AP exam.

(HS200016, SCED 02203) 📚1 credit

Full Year

Prerequisite: Algebra 2 with a credit grade of B or better.

The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes: 1. Exploring Data: Describing patterns and departures from patterns 2. Sampling and Experimentation: Planning and conducting a study 3. Anticipating Patterns: Exploring random phenomena using probability and simulation 4. Statistical Inference: Estimating population parameters and testing hypotheses Students who successfully complete the course and score well on the optional exam may receive credit, advanced placement or both for a one-semester introductory college statistics course.

Note: The AP exam is given in May. A fee is required to take the AP exam.

(HS200020, SCED 02993) 0.5 credit

Semester

Mathematics Test Preparation courses provide Juniors with activities in analytical thinking and with the skills and strategies associated with standardized test taking (such as the PSAT, SAT, and ACT). Topics covered include strategies for arithmetic, algebra, geometry, and quantitative comparison problems as well as time management, scoring procedures, calculator usage, and management of test-related stress. Students in this course should have passed Algebra 2 or are taking it concurrently. This course is designed for Juniors.