MATHEMATICS DEPARTMENT
Department Head: Carol Thebeau

All Students are required to complete three credits in Mathematics, two credits in Algebra and one credit of Geometry or Geometry & Trigonometry. Students earn .5 credit each semester for full-year courses.

COURSE DESCRIPTIONS

BASIC MATH SKILLS
.25 credit
This course is a review of basic math skills. It includes addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals. Students will also work with percents and develop basic problem solving skills. The class will meet twice a week with homework assignments due at each class meeting. Calculators will not be used. The course is designed for 9th grade students who need to improve basic skills and will be required of students with low computation scores. Other students may register for the course, if they feel they would benefit from the additional drill and practice.
PREREQUISITE: Department Recommendation or Department Approval.
CLASS STATUS: Freshmen

ALGEBRA 1
1 credit
This course introduces the fundamental properties of real numbers, operations with signed numbers, equations, inequalities, and graphs. It also includes polynomials and their factors, laws of exponents, rational and irrational numbers, and the quadratic formula. The course is designed for students who have an average ability in mathematics. It differs from Algebra 1, Level A, in depth of subject matter and in problem difficulty.
PREREQUISITE: Department Recommendation
CLASS STATUS: Freshmen

HONORS ALGEBRA 1
1 credit
This course introduces the fundamental properties of real numbers, operations with signed numbers, equations, inequalities, and graphs. It also includes polynomials and their factors, laws of exponents, rational and irrational numbers, and the quadratic formula. This course is designed for students who are interested in mathematics and who have shown above-average ability. Students may accelerate by testing out of previously learned material, working ahead of the class (with teacher help) and starting Advanced Algebra as soon as this course is completed. Students may use the entire year to complete this course and then accelerate (with department recommendation) by taking Advanced Algebra and Honors Geometry and Trigonometry sophomore year.
PREREQUISITE: Department Recommendation
CLASS STATUS: Freshmen

ALGEBRA, PART 1
1 credit
This course is an introductory Algebra course for students who have had difficulty in the study of mathematics. It includes a review of arithmetic skills when necessary. The course then introduces operations with signed numbers, properties of real numbers, linear equations, and some factoring of polynomials.
PREREQUISITE: Department Recommendation
CLASS STATUS: Freshmen

HONORS ALGEBRA 2
1 credit
This course further develops the principles of Algebra 1 and, in general, deepens understanding of mathematical concepts. These concepts include operations in the real number system, equations and inequalities, arithmetic and geometric sequences and series, systems of equations in two and three variables, and complex numbers. The course also includes higher degree equations, matrices, and determinants, and logarithms.
PREREQUISITE: Algebra 1 and Department Recommendation
CLASS STATUS: Sophomore

ALGEBRA 2
1 credit
This course reviews and further develops the principles of Algebra 1. These concepts include operations in the real number system, equations and inequalities, systems of equations, arithmetic and geometric sequences and series, and quadratic equations. The course also introduces matrices and determinants, higher degree equations, and complex numbers.
PREREQUISITE: Algebra 1 and Department Recommendation
CLASS STATUS: Sophomore

ALGEBRA, PART 2
1 credit
This course reviews and develops the principles of Algebra, Part 1 and introduces new concepts. These include operations in the real number system, equations and inequalities, systems of equations and quadratic equations.
PREREQUISITE: Algebra, Part 1 and Department Recommendation
CLASS STATUS: Sophomore

*HONORS GEOMETRY & TRIGONOMETRY
1 credit
This first part of this course attempts to develop basic reasoning patterns, an understanding of important geometric concepts, and the ability to write simple proofs. Concepts included are: points, lines and planes, angles, parallel and perpendicular lines, similar and congruent triangles, right triangles, polygons and quadrilaterals, and circles. The second part of the course introduces the study of trigonometric functions from both a right triangle and a circular function perspective. Concepts include: trigonometric definitions, inverses, graphs, double and half-angle formulas, and identities. The course also includes applications of trigonometry in problem solving using definitions, the Law of Sines, and the Law of Cosines.
PREREQUISITE: Honors Algebra 2 and Department Approval
CLASS STATUS: Junior & Sophomore with Department Recommendation

GEOMETRY & TRIGONOMETRY
1 credit
The first part of this course attempts to develop basic reasoning patterns and an understanding of geometric concepts. The course includes a study of points, lines and planes, angles, parallel and perpendicular lines, similar and congruent triangles, right triangles, polygons and quadrilaterals, and circles. The second part of the course introduces the study of trigonometric functions from a right triangle perspective. Concepts include: trigonometric definitions, inverses, graphs, double and half-angle formulas, and identities. The course also includes applications of trigonometry in problem solving using definitions, the Law of Sines, and the Law of Cosines.
PREREQUISITE: Algebra 2 and Department Recommendation
CLASS STATUS: Junior

GEOMETRY
1 credit
This course attempts to develop basic reasoning ability and an understanding of geometric concepts. Both inductive and deductive reasoning methods are used. Concepts included in the course are: points, lines and planes, angles, parallel and perpendicular lines, similar and congruent triangles, right triangles, polygons and quadrilaterals, circles, perimeter, area and volume, and a brief look at coordinate geometry.
PREREQUISITE: Algebra 2 or Algebra, Part 2 and Department Recommendation
CLASS STATUS: Junior

*HONORS TRIGONOMETRY
.5 credit
This course introduces the trigonometric functions from the right triangle point of view. The course studies trigonometric definitions, line representations, inverses, graphs and identities. It also includes applications of trigonometry in problem solving using definitions, the Law of Sines, and the Law of Cosines. This course is for transfer students with above-average math ability, who have already completed a full-year geometry course and 2 years of algebra, but still need trigonometry in order to take higher level honors math courses.
PREREQUISITE: Geometry and Department Recommendation
CLASS STATUS: Junior & Senior

TRIGONOMETRY
.5 credit
This course introduces the trigonometric functions from the right triangle point of view. The course studies trigonometric definitions, line representations, inverses, graphs and identities. It also includes applications of trigonometry in problem solving using definitions, the Law of Sines, and the Law of Cosines. This course is for transfer students who have already completed a full-year geometry course and 2 years of algebra, but still needs trigonometry in order to take higher level math courses.
PREREQUISITE: Geometry and Department Recommendation
CLASS STATUS: Junior & Senior

STATISTICS
.5 credit
Statistics is a branch of mathematics dealing with the collection, analysis, interpretation and presentation of data. Statistics is used in all the sciences, in business, in medicine, and in many other fields. This course is recommended for college bound students, even those entering fields not directly involving mathematics.
PREREQUISITES: Geometry & Trigonometry and Department Recommendation
CLASS STATUS: Senior

DISCRETE MATH
.5 credit
Discrete mathematics deals with topics that have a step-by-step, or discrete, nature (rather than a continuous nature). Topics include logic, probability, math induction, graphs and trees, circuits, counting techniques, and other modern algebra topics. These subjects have important applications in the physical, engineering, management, computer, and social sciences. The importance of computer science in other disciplines is making discrete mathematics an essential course in many college programs.
PREREQUISITE: Geometry & Trigonometry and Department Recommendation
CLASS STATUS: Senior

*HONORS ANALYTIC GEOMETRY
.5 credit
This course starts with a review of the Cartesian coordinate system, the slope, midpoint and distance formulas, and systems of equations. Students learn to use these familiar formulas to prove geometric properties analytically. New topics include distance from a point to a line, linear programming, graphing techniques, polar coordinates, and the conic sections.
PREREQUISITE: *Honors Geometry & Trigonometry and Department Recommendation
CLASS STATUS: Junior & Senior

ANALYTIC GEOMETRY
.5 credit
This course reviews and continues the study of linear relations and functions, and the nature of graphs. It also introduces coordinate geometry and proofs, polar coordinates, and complex numbers. The final unit includes a study of the conic sections: circle, parabola, ellipse, and hyperbola..
PREREQUISITE: Geometry & Trigonometry and Department Recommendation
CLASS STATUS: Senior

*HONORS PRE-CALCULUS
.5 credit
This course reviews and expands previously introduced topics and presents new material that prepares a student for Calculus. Topics covered include functions, vectors and parametric equations, common and natural logarithms, sequence and series, limits of functions, rates and tangents (with an introduction to differentiation and integration).
PREREQUISITE: *Honors Analytic Geometry
CLASS STATUS: Junior & Senior

PRE-CALCULUS
.5 credit
Topics covered in this course include: functions, vectors and parametric equations, common and natural logarithms, sequence and series, limits of functions, rates and tangents (with an introduction to differentiation).
PREREQUISITE: Analytic Geometry
CLASS STATUS: Senior

SENIOR MATH TOPICS
1 credit
This course will include four areas of study:
 - Right Triangle Trigonometry will include trigonometric functions, Law of Sines and Cosines. Emphasis will be on learning to use trigonometry to solve triangles.
 - Math Applications – Students will explore various problem solving strategies and the application to real-world situations.
 - Statistics will cover basic statistics concepts, terms, and applications such as displaying data (graphs and frequency distributions), mean, median, mode, range, standard deviation.
 - Discrete Math will deal with topics that have a step-by-step, or discrete, nature like group-ranking, graphs and trees, and circuits. These topics have applications in business and social sciences.
PREREQUISITE: Geometry and Department Recommendation
CLASS STATUS: Senior

*ACC CALCULUS
1 credit
(Saint Louis University title: MTX142: Calculus I)
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 their functions, limits and continuity, the derivative, the differential, anti-differentiation, and the definite integral. The course may be taken for high school and college credit or high school credit only. Upon completion of course requirements, a student receives 1 high school credit and/or four credit hours of college mathematics from Saint Louis University.
PREREQUISITE: *Honors Pre-calculus and Department Recommendation
CLASS STATUS: Senior