Rosati-Kain High School
4389 Lindell Boulevard
St. Louis, MO 63108

Phone: (314) 533-8513
Fax: (314) 533-1618

Mathematics

Faculty: Mrs. Nancy Hargis, Ms. Nancy Mueller, Mr. Patrick O’Connor, Mrs. Pat Osmundson, Ms. Maureen Polasek

Courses: Freshman– Algebra 1, Advanced Algebra 1 or Advanced Geometry, Sophomore– Geometry, Advanced Geometry or Advanced Algebra 2 with Trigonometry, Junior– Algebra 2, Algebra 2 with Trigonometry, Advanced Algebra 2 with Trigonometry, Precalculus, or Statistics AP, Senior– Trigonometry, Discrete Mathematics, Pre-Calculus, Calculus AP or Statistics AP

The Mathematics Department offers twelve courses which give students the opportunity for a full four-year course of study. Three units of credit are required for graduation. The Advanced Program is offered to accelerate students' study by allowing them to register for AP Calculus in their senior year. All students will be required to purchase a specific graphing calculator at the beginning of their freshman year. This calculator will be used in mathematics and science classes.

MATHEMATICS COURSES

311 Algebra 1

required for freshmen
1 credit
Prerequisites: none

This course allows the student to extend previously acquired arithmetic skills from numbers to polynomials and equation solving. Topics include operations with rational numbers, linear equations, linear inequalities, polynomials, factoring, graphing linear equations, systems of equations, rational expressions, radicals and quadratic equations.

318 Advanced Algebra 1

for freshmen with special placement
1 credit
Prerequisites: Placement test and department approval

This accelerated course in Algebra is available to the student who has had an introduction to Algebra in the eighth grade. Advanced Algebra 1 covers the content of the Algebra 1 course in more depth and with more emphasis on applications. In addition, some Algebra 2 topics are covered, including exponential functions, piecewise functions, matrices, linear programming, solving linear equations in three variables, and graphing radical and rational equations.

321 Geometry

required for sophomores
1 credit
Prerequisites: Algebra 1 or Advanced Algebra 1

This course uses undefined terms, definitions, constructions, postulates, theorems and some trigonometry to help students prove statements about geometric figures and relationships between those figures. Additional topics could include coordinate geometry and transformations.

328 Advanced Geometry

Sophomores or freshmen, with special placement
1 credit
Prerequisites: Advanced Algebra 1 with no semester grade lower than a B, or special placement, and department approval

This accelerated course in Geometry is available only to students with strong algebra skills and strong reasoning ability. Advanced Geometry covers the content of the Geometry course in more depth and with more emphasis on analysis. Additional topics include right triangle trigonometry, vectors, law of sines and cosines, and parametric equations and projectile motion.

331 Algebra 2

Juniors
1 credit
Prerequisites: Geometry and department approval

This course extends the study of Algebra 2 through two semesters. The course strengthens Algebra 1 skills and develops the concepts of Algebra 2. Topics studied include linear and quadratic equations and inequalities, graphing, polynomial functions, rational expressions, exponents, radicals, irrational and complex numbers. Optional topics include exponential and logarithmic functions, and the binomial theorem.

Algebra 2

Juniors
1 credit
Prerequisites: Geometry or Advanced Geometry, with no semester grade lower than a C in all previous math classes and department approval

This course includes a review of skills from Algebra 1 and all the essential topics for an Algebra 2 course. It also includes the study of Trigonometry. Topics included are quadratic relations, exponential and logarithmic functions, radical expressions, and analytic geometry.

Advanced Algebra 2 with Trigonometry

Juniors or sophomores, with special placement
1 credit
Prerequisites: Advanced Algebra 1 and/or Advanced Geometry, with no semester grade lower than a B in all previous math classes and department approval

This accelerated course is available only to the very capable student intending to enroll in AP Calculus. The course encompasses Algebra 2 with Trigonometry and material from the Pre-Calculus course. Topics included are Quadratic, Polynomial, and Rational Functions; Exponential and Logarithmic Functions; Analytic Geometry; Sequences and Series; Probability and Statistics; Trigonometry, Vectors and Polar Coordinates. Emphasis is placed on applications of the topics covered.

341 Trigonometry

Elective for seniors
½ credit
Prerequisites: Algebra 2 and department approval

This is a first semester course. The students are introduced to the study of trigonometry using triangle trigonometry. Topics covered include solving right triangles, solving general triangles, and applications. The unit circle, radian measurement, basic trigonometric identities, and graphing trigonometric equations are also covered.

343 Topics in Discrete Mathematics

Elective for seniors
½ credit
Prerequisites: Algebra 2 and department approval

This is a second semester course. The students are introduced to the study of probability and statistics and series and sequences. Additional topics may be covered.

342 Pre-Calculus

Elective for Seniors, Juniors with special placement
1 credit
Prerequisites: Algebra 2/Trig or Advanced Algebra 2/Trig and department approval

This course is designed to broaden the student's grasp of mathematics and to provide an ample preparation for the study of college level courses. The following topics are included: complex numbers, polynomial functions, exponential and logarithmic functions, sequences and series, trigonometric functions, and matrices.

345 AP Statistics

Elective for seniors; juniors with special placement
1 credit
Prerequisites: Algebra 2/Trig or Advanced Algebra 2/Trig, no grade below a C in previous math and English classes, a brief writing assignment and department approval.

This accelerated course teaches students the major concepts and tools for collecting, analyzing and drawing conclusions from data and covers the advanced placement curriculum. The four conceptual themes covered are: Exploring Data; Sampling and Experimentation; Probability and Simulations; Statistical Inference.

349 AP Analytic Geometry and Calculus

Elective, 12; 11 with special placement)
1 credit
Prerequisites: Advanced Algebra 2/Trig or Precalculus, no grade lower than a B in all previous math classes and department approval

This course continues the development of advanced mathematics and encompasses a first course in the differential and integral calculus of functions of a single variable. Topics covered are real numbers, analytic geometry and functions, limits and continuity, the derivative and applications of the derivative, the differential, antidifferentiation, and the definite integral.