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Mathematics

Algebra I (5120)
This course presents a thorough study of the algebra of real numbers. Topics include solving linear equations and inequalities; problem solving; operations with monomials, polynomials, and rational expressions; investigating linear relations and functions; determining equations of lines; graphing linear equations and inequalities; solving systems of equations; and graphing parallel and perpendicular lines.

Algebra I Honors (5130)

This course follows the course work of Algebra I with further advanced problem solving. Acceptance into this course is based on performance on the math placement test, previous math course grades, and standardized test scores.

Algebra I/Geometry Honors (5150)

This course follows the course work of the second semester of Algebra I Honors and the first semester of Geometry Honors. Acceptance into this course is based on performance on the math placement test, previous math course grades, standardized test scores, and the recommendation of the math department chair and the Director of Studies. 

Geometry (5210)

This course develops an understanding of logic and its application in constructing a Euclidean two-dimensional geometric system. Topics include angles, parallel and perpendicular lines, basic proofs, triangles, quadrilaterals and other polygons, and circles. Prerequisites – Algebra I and teacher approval.

Geometry (5220)
This course develops an understanding of logic and its application in constructing a Euclidean two-dimensional geometric system. Topics include angles; parallel and perpendicular lines; basic proofs; triangles, quadrilaterals and other polygons; circles; and the relationship of geometry to algebra. This course satisfies the prerequisite for 5320 Algebra II. Prerequisites – Algebra I and teacher approval. 

Geometry Honors (5230)

This course follows the course work of Geometry with increased emphasis on mathematical reasoning, proofs, and problem solving. Additional topics include area and basic volume applications and an introduction to trigonometry. Prerequisites – Algebra I and teacher approval.

Geometry/Algebra II Honors (5250)
This course is for students who completed Algebra I/Geometry Honors. Topics include those covered in the second semester of Geometry Honors as well as those covered in Algebra II Honors. Prerequisites – Teacher approval and Algebra I/Geometry Honors.

Algebra II (5310)

This course continues the material begun in Algebra I. Topics include linear relations and functions, polynomials, irrational and complex numbers, and quadratic equations and functions. Prerequisites – Geometry and teacher approval.

Algebra II (5320)

This course continues the material begun in Algebra I. Topics include linear relations and functions, polynomials, irrational and complex numbers, quadratic equations and functions, conics, rational polynomial expressions, polynomial functions, exponential and logarithmic functions, and an introduction to trigonometry. Prerequisites – Geometry and teacher approval.

Algebra II Honors (5330)

This course continues the material begun in Algebra I. The focus is to promote a clear understanding of concepts as well as the development of technical skills relating to the study of functions. Topics include all polynomial relations and functions; irrational and complex numbers; exponential and logarithmic functions; as well as an introduction to absolute value, piecewise-defined functions, and radical and rational functions. Additional topics include the arithmetic of functions, composites, inverses of functions, and regression analysis. Emphasis is placed on applications of functions and problem-solving skills. The use of technology as an aid to problem solving is an intricate part of this course. Prerequisites – Geometry and teacher approval.

Algebra II/Precalculus Honors (5350)

This full-year honors course is for sophomores and juniors who completed Algebra I/Algebra II as freshmen and Geometry Honors as sophomores. The course covers advanced topics of algebra including relations, functions, composites, and inverses. All algebraic functions are covered along with exponential and logarithmic functions. Emphasis is placed on critical thinking and problem solving. Students are encouraged to explore mathematical ideas, data, patterns, and algebraic concepts analytically and through the use of technology. Prerequisites – Successful completion of Geometry Honors and teacher approval.

Algebra II/Precalculus Honors STEM (5351)
This full-year accelerated honors course is taken along with a semester course in trigonometry in sophomore year. The course covers advanced topics of algebra including relations, functions, composites, and inverses. All algebraic functions are covered along with exponential and logarithmic functions. Emphasis is placed on critical thinking and problem solving. Students are encouraged to explore mathematical ideas, data, patterns, and algebraic concepts analytically and through the use of technology. The course requires the student to be an active participant and to model the ways that mathematics is applied to science and the real world. This course is recommended for students who plan to take Calculus AB and BC. Prerequisite – Enrollment in the STEM program.

Trigonometry Honors (5325)
This semester course is taken along with Algebra II/Precalculus. The diverse applications presented in this course are designed for those students interested in such fields as astronomy, physics, engineering, and advanced mathematics. Topics include right triangle trigonometry, the unit circle, trigonometric functions, basic and advanced identities, simplification of trigonometric expressions, proving trigonometric identities, solving trigonometric equations, inverse trigonometric functions, the laws of sine and cosine, Heron’s formula, complex numbers in trigonometric form, powers and roots of complex numbers and DeMoivre's formula. Emphasis throughout the course is on conceptual understanding and real-world applications. Prerequisite – Enrollment in the STEM program.

Algebra III (5410)
Algebra III continues the material begun in Algebra II. The course is designed to provide a strong foundation of mathematical concepts and applications of Algebra and Trigonometry. The focus of this course will be to provide mathematical experiences that will extend critical thinking and reasoning which will prepare seniors for access to more advanced work in mathematics a the post-secondary level. Prerequisites – Teacher approval and Algebra II.
 
Precalculus (5420)

This course covers advanced topics of algebra including relations, functions, composites, and inverses; polynomial functions and graphs; trigonometric functions, inverses, identities, and equations; complex numbers; and exponential and logarithmic functions. Emphasis is placed on learning and utilizing the capabilities of the school-required calculator. This course is recommended for students who plan to take Calculus in the future. Prerequisites – Algebra II and teacher approval.

Precalculus Honors (5430)

This course includes topics covered in Precalculus as well as continuity, limits, and derivatives. This course is recommended for students who plan to take Calculus in the future. Prerequisites – Algebra II and teacher approval.            

Calculus (5520)

This course presents a thorough study of differential calculus. It begins with a review of fundamental functions. Students work with functions represented by the “rule of four” graphically, numerically, analytically, and verbally. Calculus topics include limits and differential calculus. The definition of the derivative as the answer to a limit problem is developed. Students understand the derivative in terms of a rate of change. All aspects of differential calculus are explored through the interpretation of graphs and tables as well as analytical methods. Emphasis is to find derivatives analytically and use the derivative to analyze rates of change in the field of business. Prerequisite – Teacher approval.

Calculus Honors (5530)

This course is a strong introduction to the concepts of a first-semester college-level Calculus course. Topics include limits, differentiation, and definite and indefinite integration. The real-world applications of derivatives and integrals will be explored in both the scientific and business settings. Prerequisites – Precalculus and teacher approval.

AP Calculus AB (5540)
The goal of this full-year course is to prepare students for the Advanced Placement (AP) Calculus AB exam. The course covers topics typically found in a first-semester college level Calculus I courses. This course prepares students to succeed in the AP Calculus AB exam and the subsequent courses in higher mathematics. This course has been reviewed and approved by the College Board to use the “AP” designation. Topics include functions represented by the rule of 4, limits and continuity, derivatives of basic algebraic and early transcendental functions, applications of the derivative, implicit differentiation, curve sketching, related rates, implicit differentiation to find the derivative of an inverse function, integration, applications of integration with emphasis on the integral as an accumulation function, and the geometric interpretation of differential equations via slope fields. The AP exam is offered in May each year. Prerequisites – Satisfactory completion of Precalculus Honors and teacher recommendation.
 

AP Calculus BC/Advanced Topics (5550)
The goal of this course is to prepare students for the Advanced Placement (AP) Calculus BC exam. Students are expected to have completed AP Calculus AB before beginning AP Calculus BC. This course prepares students to take the AP Calculus BC exam by covering the topics not already covered in AP Calculus AB from the College Board's BC Calculus topic outline. Topics include: techniques of integration including integration by parts and by partial fractions. Applications of integral calculus, logarithmic and exponential functions, parametric, polar and vector functions, differential equations, sequences and series where the Taylor and Maclaurin series are covered with emphasis on radius of convergence, error bounds, and convergence and divergence. The AP exam is offered in May each year. Prerequisites – Satisfactory completion of AP Calculus AB and teacher recommendation.

Statistics (5720)

This introductory statistics course is designed to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The course is designed to cover four broad conceptual themes: 1. Exploring data, describing patterns, and departures from pattern, 2. Sampling and Experimentation, 3. Anticipating Patterns: Exploring random phenomena using probability and simulation, and 4. Statistical Inference: Estimating population parameters and testing hypotheses. Prerequisite – Satisfactory completion of Algebra II.

AP Statistics (5740)
This full-year college level course can be taken in senior year. This introductory statistics course is designed to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The course is designed in accordance with the AP College Board standards requiring exposure to the four broad conceptual themes: exploring data, describing patterns and departures from patterns; sampling and experimentation; anticipating patterns by exploring random phenomena using probability and simulation; and statistical inference by estimating population parameters and testing hypotheses. The AP exam is offered in May each year. Prerequisites – Satisfactory completion of Algebra II Honors and teacher recommendation.