Department Chair: Dr. Stella Filizola sfilizola@sja.us
MATH 7
This course, which satisfies the mathematics requirement in grade seven, concentrates on building and reinforcing basic mathematical skills. Emphasis is given to basic operations involving whole numbers, decimals, fractions, and integers. Other skills emphasized are introductory algebra concepts such as factorization, greatest common factor, and least common multiple. A full-year course that satisfies the mathematics requirement for students in grade seven.
PRE-ALGEBRA
This course covers the transition from previous mathematics study into the study of algebra. Basic operations involving decimals, fractions, and integers are reviewed and strengthened. Solving equations and word problems that involve rational numbers, proportions, percentages, and graphing are included. A full-year required course for students in grades seven or eight.
HONORS PRE-ALGEBRA
This course, designed for students in grade seven who have a strong mathematics background, provides an enriched curriculum in preparation for the study of algebra. While students continue to gain experience in computation and problem-solving, their understanding of mathematical structure and reasoning are reinforced. Concepts will include solving first degree equations, word problems involving rational numbers, proportions, percentages, linear equations, inequalities, and an introduction to trigonometry. Emphasis will be given to problems requiring higher order thinking and application of problem-solving strategies. Prerequisite: Administrative approval. Weight: 1.05; A full-year course that fulfills the Pre-Algebra requirement.
ALGEBRA I
This course presents to the student the study of real numbers, equations, and inequalities in one variable, polynomials, systems of linear equations and inequalities, relations and functions, exponents and radicals, and an introduction to quadratic equations. Problem solving and graphing are also included. Prerequisite: Pre-Algebra. Credit: 1.0; A full-year required course for students in grades eight or nine. In order to ensure a firm foundation in mathematics, eighth grade students who fail Algebra I will be required to repeat the entire course in grade nine rather than attending summer school for this purpose. Additionally, eighth grade students who have not demonstrated mastery of Algebra I concepts may, upon departmental recommendation and administrative approval, be required to repeat Algebra I in grade nine.
HONORS ALGEBRA I
Honors Algebra I presents to the student the study of real numbers, equations, and inequalities in one variable, polynomials, systems of linear equations and inequalities, relations and functions, exponents, radicals, and quadratic equations. Special emphasis is given to problem solving, critical thinking strategies, and graphing. Prerequisite: Pre-Algebra, departmental recommendation, and administrative approval. Credit: 1.0; Weight: 1.05; a full-year required course that satisfies the Algebra I requirement.
GEOMETRY
Geometry stresses the basic structure of a mathematical system and proficiency in developing proofs. The course includes concepts of space geometry integrated with plane geometry, the review and use of algebraic skills, and units on trigonometry, area and volume, constructions, coordinate geometry, and transformations. Prerequisite: Algebra I. Credit: 1.0; A full-year required course for freshmen or sophomores.
HONORS GEOMETRY
Honors Geometry stresses the basic structure of a mathematical system and a strengthened proficiency in developing proofs. Properties of two and three dimensional geometric shapes will be analyzed and mathematical arguments about geometric relationships will be developed. The course includes concepts of space geometry integrated with plane geometry, the review and use of algebraic skills, and units on trigonometry, area and volume, constructions, coordinate geometry, and transformations. Prerequisite: Algebra I, departmental recommendation, and administrative approval. Credit: 1.0; Weight: 1.05; A full-year course that satisfies the Geometry requirement.
ALGEBRA II
With an emphasis on equation solving and the application of equations to problem solving, the course includes the following among its topics: relations, linear equations, polynomials, rational expressions, irrational numbers, quadratic equations, and an introduction to trigonometry and conic sections. Prerequisite: Geometry. Credit: 1.0; A full-year required course for sophomores or juniors.
HONORS ALGEBRA II (Dual Enrollment)
This course includes the following among its topics: relations, linear equations, polynomials, rational expressions, irrational numbers, quadratic equations, an introduction to trigonometry, arithmetic and geometric series, and statistics. Attention is paid to the derivation of formulas and the application of material to real-life situations through the use of projects. There is a strong emphasis placed upon the practical application of problem-solving equations. This course will require independent study by the highly motivated student. Prerequisite: Algebra I, Geometry, a COMPASS Math score of 39 or better, departmental recommendation, and administrative approval. Credit: 1.0; Weight: 1.05; A full-year required course that satisfies the Algebra II requirement. Credit for UTB Math 1314: 3.0 hours.
ALGEBRA II (Dual Enrollment)
With an emphasis on equation solving and the application of equations to problem, solving, this course includes the following among its topics: relations, linear equations, polynomials, rational expressions, irrational numbers, quadratic equations, and an introduction to trigonometry and conic sections. Much attention is paid to the derivation of formulas and the application of material to real life situations. There is a strong emphasis placed on the practical application of problem solving equations. Prerequisite: Algebra I, Geometry, a COMPASS Math score of 39 or better, departmental recommendation, and administrative approval. Credit: 1.0; A full-year course for sophomore or juniors. Credit for UB MATH 1314: 3 hours.
PRE-CALCULUS
This course provides students with a firm foundation n the theory and use of functions and their graphs. Polynomial, rational, piece-wise, exponential, and logarithmic functions are explored. A comprehensive treatment of trigonometry which deals with the trigonometric functions, their graphs, and solutions of right and oblique triangles is included. Prerequisite: Algebra II. Credit: 1.0; a full-year required course for juniors or seniors.
PRE-CALCULUS (Dual Enrollment)
This integrated course is the culmination of the process of acquiring the fundamental skills of algebra, geometry and trigonometry necessary for the study of calculus. Advanced topics in algebra include the number system, equations and inequalities, quadratic functions and equations, theory of equations, and the conic sections. A complete treatment of trigonometry which includes the trigonometric functions and their graphs, polar coordinates, and the solution of right and oblique triangles is provided. Fundamental concepts of plane geometry will be interwoven throughout the algebraic and trigonometric topics to provide a sound knowledge of geometry. Prerequisite: Algebra II (Dual Enrollment), a COMPASS math score of 39 or better, departmental recommendation, and administrative approval. Credit: 1.0; A full-year course for junior or seniors that satisfies the Pre-Calculus requirement. Credit for UTB MATH 1412: 4 hours.
HONORS PRE-CALCULUS (Dual Enrollment)
This integrated course is the culmination of the process of acquiring the fundamental skills of algebra, geometry and trigonometry necessary for the study of calculus. Advanced topics in algebra include the number system, equations and inequalities, quadratic functions and equations, theory of equations, and the conic sections. A complete treatment of trigonometry which includes the trigonometric functions and their graphs, polar coordinates, and the solution of right and oblique triangles is provided. Fundamental concepts of plane geometry will be interwoven throughout the algebraic and trigonometric topics to provide a sound knowledge of geometry. This course will require independent study by the highly motivated student. Prerequisites: Algebra II (Dual Enrollment), a COMPASS Math score of 39 or better, departmental recommendation, and administrative approval. Credit: 1.0; Weight: 1.05; A full-year course that satisfies the Pre-Calculus requirement. Credit for UTB MATH 1412: 4 hours.
CALCULUS I
Calculus includes the algebraic study of functions and their graphs. Limits and their applications, derivatives, anti-derivatives and the integration of the algebraic and trigonometric functions will be covered. Applications of derivatives and anti-derivatives will also be covered in this course. Prerequisite: Pre-Calculus. Credit: 1.0; A full-year course for juniors or seniors.
CALCULUS I (Dual Enrollment)
This course covers function, limits, and continuity; the derivative; differentiation of algebraic functions; the derivative as a rate of change; maximum and minimum problems with applications; Rolle’s Theorem; the Mean-Value Theorem; higher derivatives; concavity; techniques of graphing; antiderivative; the definite integral and integration with applications. Prerequisite: Dual Enrollment Pre-Calculus, departmental recommendation, and administrative approval. Credit: 1:0; A full-year course for junior or seniors. Credit for UTB MATH 2413: 4 hours.
ADVANCED PLACEMENT CALCULUS AB (Dual Enrollment)
Calculus includes the algebraic study of functions and graphs. Limits and their applications to derivatives and anti-derivatives and the integration of algebraic and trigonometric functions are treated. The study of calculus is extremely demanding in class application, and it requires daily, lengthy study and homework time. Content of the course will be supplemented by College Board AP material. Students will be required to take the College Board’s national Advanced Placement examination in May of the school year through which university credit may be earned aside from dual enrollment credit. Prerequisite: Dual Enrollment Pre-Calculus plus a cumulative mathematics average of 90 percent and/or departmental recommendation and administrative approval. Credit: 1.0; Weight: 1.10; A full-year course for juniors or seniors. Credit for UTB MATH 2413: 4 hours.
ADVANCED PLACEMENT CALCULUS BC (Dual Enrollment)
As a continuation of Calculus AB, Calculus BC views more theoretical aspects of Calculus. Topics associated with the course are: Transcendental Functions, Differential Equations, Integration Techniques, L’Hopital’s Rule, Improper Integrals, Special Sequences, and Special Series. Students will be required to take the College Board’s National Advanced Placement Examination in May of the school year in which university credit may be earned. Prerequisite: AP Calculus AB plus a cumulative mathematics average of 90 percent and/or departmental recommendation and administrative approval. Credit: 1.0; Weight: 1.10; A full-year course for seniors. Credit for UTB MATH 2414: 4 hours.
ELEMENTARY STATISTICS (Dual Enrollment)
This course introduces the student to statistics, both descriptive and inferential. Topics include measure of central tendency and dispersion, combinations, permutations, probability, probability distribution, the Central Limit Theorem, estimation, test hypothesis, correlation, and regression. Prerequisite: Pre-Calculus. Credit: 1.0; A full-year course for juniors or seniors. Credit for UTB MATH 1342: 3 hours.