Mathematics
Rosary's comprehensive mathematics curriculum is key component to the development of critical thinking and problem solving skills. Mathematics provides a strong foundation for our students that will lead to careers in business, mathematics, sciences, and economics, as well as the humanities and social sciences. Students will:
- Gather, organize, analyze, synthesize, and evaluate information using it to solve problems in an on-going process.
- Communicate mathematically and logically
- Become proficient in the use of technological tools to understand concepts and to solve problems
- Appreciate and value mathematics for its intrinsic beauty, its usefulness in modeling the world, and its role in the development of society
Courses Offered
Algebra
This first-year course in algebra includes a review of basic arithmetic skills, solving equations, factoring, fractions, linear and quadratic equations, functions, inequalities, word problems, and rational and irrational numbers. A thorough understanding and emphasis is placed on problem solving and application of principles. UC Approved
This year course provides a general introduction to the essentials of algebra. Content includes variables, expressions, properties, working with rational and irrational numbers, and solving equations and inequalities. Polynomials, graphing, radicals, rational functions, factoring and solving quadratic functions are presented, with focus on applications where appropriate. UC Approved
Prerequisites: Dependent upon HSPT and Rosary Placement Test
This course replicates the course content of Algebra I but concepts are studied in greater depth. There is greater emphasis on word problems, quadratic equations, and other polynomial functions. UC Approved
Prerequisites: C or higher in Algebra I. F grades in Algebra I must be remediated before taking this course.
This course continues the study of concepts introduced in Algebra I. Topics of study include linear and quadratic equations, functions, conic sections, and properties of rational and irrational numbers. Graphing calculators are used to enhance understanding of algebraic concepts. UC Approved
Prerequisites: Completion of Algebra I AB, or Algebra I
This college prep course continues the study of concepts introduced in Algebra I and Algebra I AB. These topics include linear and quadratic equations, functions, conic sections, and properties of rational and irrational numbers. This course differs from Algebra II in that emphasis is placed on foundational topics. UC Approved
Prerequisites: B or higher in Honors Algebra I or A in Algebra I
This course replicates the course content of Algebra II but concepts are studied in greater depth. Topics include polynomial, radical, rational, exponential, and logarithmic functions, as well as linear and quadratic equations, matrices, and conic sections. Concepts are presented using multiple representations. Graphing calculators are used to enhance understanding of algebraic concepts. UC Approved
Geometry
Prerequisites: C or higher in Algebra II
This course leads to an understanding of the relationship among points, lines, and planes. Plane figures such as triangles, parallelograms, circles, and general polygons will be explored. Area and volume formulas of three-dimensional figures will be developed. Coordinate geometry will be introduced. Students develop an understanding of the nature of proofs and gain experience in writing two-column proofs. UC Approved
Prerequisites: Completion of Algebra I AB and Intermediate Algebra II
This college prep course leads to an understanding of the relationship among points, lines, and planes. Plane figures such as triangles, parallelograms, circles, and general polygons will be explored. Area and volume formulas of three-dimensional figures will be developed. Coordinate geometry will be introduced. Students develop an understanding of the nature of proofs and gain experience in writing two-column proofs. This course differs from Geometry in that emphasis is placed on foundational topics. UC Approved
Prerequisite: B or higher in Honors Algebra II or A in Algebra II. Non-honors students must pass a placement test.
This course replicates the content of Geometry, but concepts are studied in greater depth at an accelerated pace, with a greater emphasis on geometric proofs, triangle trigonometry and constructions. Reflections and other transformations will be studied. UC Approved
Calculus
Prerequisites: C or higher in Algebra II and C or higher in Geometry
This course provides students with a solid foundation for the study of calculus. Algebraic, exponential, logarithmic, and trigonometric functions and their graphs are presented, as well as matrices, sequences, probability, and selected topics from analytic geometry. Graphing calculators are used to enhance understanding of pre-calculus topics. UC Approved
Prerequisite: B or higher in Honors Algebra II or A in Algebra II
This course replicates the course content of pre-calculus, but concepts are studied in greater depth. Additional topics include vectors, polar, graphic, and parametric equations. During the fourth quarter, an introduction to calculus, including the concepts of limit, continuity, and differentiation, is presented. UC Approved
Prerequisites: B or higher Honors Pre-Calculus or A or higher in Pre-Calculus. Students must pass a placement test.
The course in single variable Calculus. The course covers limits, derivatives, definite integrals of algebraic and transcendental functions, and the application of derivatives and integrals. Techniques of integration and integrals may also be covered. NOTE: This course is not designed to prepare the student for the AP Calculus Exam. UC Approval
Prerequisites: B or higher in Honors Pre-Calculus or A in Pre-Calculus
The basic objects of study in calculus are function behavior and relationships. In this course, functions are analyzed in terms of symbolic formulas, graphs, and numerical data. Of primary concern is the connection and application of calculus to real life problems occurring in physics, chemistry, engineering, economics and finance, and the three main concepts of calculus (limits, derivatives, and integrals) are studied from these perspectives. All of these approaches to understanding are essential. Learning mathematics involves both achieving a deep understanding of concepts and learning new skills. As a consequence, this course emphasizes broad concepts and widely applicable methods as well as facility with manipulation and computational competence. Technology is used regularly by the teacher and students to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation and to assist in interpreting results. UC Approval
Prerequisites: B or higher in Honors Pre-Calculus or A in Pre-Calculus
This course includes all topics recommended in the College Board course outline for Calculus AB. Functions, graphs, limits and continuity, differentiation and applications of the derivative, anti-differentiation, definite integrals and their applications, and the Fundamental Theorem of Calculus are presented. Additional hours may be required. The College Board charges a fee for this exam. UC Approved
Prerequisites: C or higher in AP Calculus
This course 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 topic 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. The College Board charges a fee for this exam. UC Approved
Statistic
Prerequisite: C or higher in Algebra II
This course teaches students the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Topics include patterns and departures from patterns and models using probability and simulation. Students complete projects involving hands-on gathering and analysis of real-world data. Appropriate technology including manipulatives, calculators, and computers are used. UC Approved
Prerequisite: B or higher in Honors Algebra II or A in Algebra II, and B or higher in Honors English or A in English
This course includes the broad themes and specific topics recommended in the College Board course outline for AP Statistics: exploring data, describing patterns, sampling, experimentation, probability, and statistical inference. AP Statistics is an activity-based course in which students are engaged in constructing their own knowledge. Additional hours may be required. The College Board charges a fee for this exam. UC Approved
Electives
Prerequisite: C or higher in Algebra II
This course is a mathematical modeling course that is algebra-based, applications-oriented, and technology-dependent. Students study mathematics topics from Advanced Algebra, Statistics, Probability, Pre-calculus, and Calculus under seven financial umbrellas: Banking, Investing, Credit, Employment and Income Taxes, Automobile Ownership, Independent Living, and Retirement Planning and Household Budgeting. UC Approved
Prerequisite: B or higher in Honors Algebra I or Honors Algebra II or A in Algebra I or Algebra II
Principles provides a broad, inspiring overview of computer science and programming logic. Computational thinking is an increasingly important part of all fields of study. Students in AP CSP explore the global effects of “big data” and learn the logic and methods used in standard programming languages. By the end of this course, students are able to identify ways to responsibly apply computer technology and create applications. The College Board charges a fee for this exam. UC Approved