This course studies the structure of the real number system. It includes operations with rational expressions, polynomials, factoring, solving linear and quadratic equations, linear inequalities, word problems, linear functions, systems and graphing.
The topics of Algebra I are studied in greater depth with advanced applications. Additional topics will include quadratic, exponential and radical functions. This course will focus on the connections between symbolic, graphical and numerical representations of functions.
This course develops an understanding of logic and its application in constructing a two-dimensional geometric system. It introduces solid geometry. Deductive reasoning, angles, distance, slope, congruent and similar figures, polygons, circles, constructions, right triangle trigonometry and coordinate geometry are studied.
This course will challenge students who have excelled in Algebra I or Algebra I Accelerated. It covers the topics of Geometry and will also include more sophisticated proofs and reasoning techniques, a more in-depth study of logic and set theory, geometric constructions, an introductory study of trigonometry including circular functions, radical expressions, symmetry, non-Euclidean geometry and transformations. Students will develop their ability to gather and analyze data, solve complex problems, and apply both their logical and creative thinking skills.
Prerequisite: “A” in Algebra I, or “B” in Algebra I Accelerated.
This intermediate course includes both real and complex number concepts and skills, polynomial and rational expressions, the concept of relation and function, linear and quadratic equations, inequalities, radicals, exponents, logarithms, matrices, determinants, probability and the solving of word problems
This intermediate algebra and trigonometry honors course follows the same basic structure as Algebra II with additional topics in circular functions and trigonometry. It is a fast-paced course. Algebraic derivations and proofs are incorporated frequently and students will develop their mathematical reasoning skills. This course is required for those students who have not already completed Pre-Calculus, but plan to take MT505, MT551, SC551 or MT555.
Prerequisites: “A” in Algebra I or “B” in Algebra I Accelerated and an “A” in Geometry or “B” in Honors Geometry.
This intermediate algebra course serves as a transition course between Algebra II and a College Algebra course. Building on skills developed in Algebra II, topics include polynomial, rational, radical and exponential functions. Emphasis is placed on solving application problems both algebraically and graphically.
This advanced algebra and trigonometry course serves as a transition course between Algebra II and Calculus. Analytical, graphical, and numerical approaches are used to develop understanding of the interrelationships among graphs, equations, and inequalities for trigonometric, absolute value, quadratic, polynomial, rational, exponential, and logarithmic functions. Throughout the course, emphasis is placed on constructing and communicating valid mathematical arguments and analyzing the reasoning of others.
The course covers the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Topics will include experimental design, descriptive statistics, and probability. Activities that include projects and labs, cooperative group problem-solving, and computer simulations will allow students to build interdisciplinary connections with other subjects and with the real world.
Prerequisites: “C+” or better in Algebra II or Pre-Calculus; “C” or better in Algebra II/Trigonometry or Advanced Pre-Calculus
The course extends the concepts and activities of Introduction to Statistics with an emphasis on hypotheses testing, modeling, and inferential statistics. Students enrolled in an AP course have the option to take the AP Statistics exam for the course in May.
SLU Course: MATH1510 Analytic Geom/Calc (4 credits) This college-level honors course focuses on derivatives, definite integrals and their applications. The student may earn four advanced college credits from Saint Louis University in addition to high school credit. Students enrolled in an AP course have the option to take the AP Calculus AB exam in May.
Prerequisite: An “A” in Algebra II with additional summer study in trigonometry; an “A” in Algebra II and an “A” in Trigonometry; a “B” or better in either Honors Algebra II/Trigonometry, Pre-Calculus, or Advanced Pre-Calculus.
This college-level course provides an in-depth study of polynomial, rational, radical, exponential, logarithmic, logistic, and trigonometric functions. It also covers vectors, polar and parametric equations, limits, and rate of change. If time permits, conic sections, sequences and series, and combinations and probability will be covered. Rigorous mathematical reasoning and high level mathematical analysis will be required.
Prerequisite: “B” or higher in Honors Alg. II/Trig (ONLY students from Honors Alg. II/Trig may take Advanced Pre-Calculus, not students from Alg. II)
SLU Courses: MATH1510 Analytic Geom/Calc I (1st sem.- 4 credits) and MATH1520 Analytic Geom/Calc II (2nd sem. - 4 credits) This is a year-long, college-level honors calculus course that students must take concurrently with honors physics, SC551. The course covers limits, continuity, derivatives, applications of the derivative, integration, applications of integration, and techniques of integration. Rigorous mathematical reasoning and high level mathematical analysis will be required. A rigorous approach to differentiation and integration will allow students to make applications in the traditional topics of mechanics, waves, electricity and thermodynamics. Physics labs and experiments will be done to illustrate many of the topics of calculus. This course will cover two semesters of calculus and two semesters of engineering physics; it is fast-paced and challenging. Eight hours of advanced college credit may be earned in both calculus and physics through Saint Louis University in addition to high school credit. Students enrolled in an AP course have the option to take the AP Calculus (either AB or BC) exam in May.
Prerequisites: “B” or better in Algebra II/Trig or Advanced Precalculus or an “A” in Pre-Calculus AND an “A” in Physics-Mechanics or a “B+” or better in Honors Physics-Mechanics
SLU Courses: MATH1510 Analytic Geom/Calc I (1st sem. - 4 credits) and MATH1520 Analytic Geom/Calc II (2nd sem. - 4 credits) This is a year-long, college-level honors calculus course for students who will not be enrolled in honors physics, SC551. The course covers limits, continuity, derivatives, applications of the derivative, integration, applications of integration, techniques of integration, polar, parametric, and vector equations, and power series. Rigorous mathematical reasoning and high level mathematical analysis will be required. Some labs and experiments will be done to illustrate some of the topics of calculus. This course will cover two semesters of calculus; it is fast-paced and challenging. Eight hours of advanced college credit may be earned in calculus through Saint Louis University in addition to high school credit. Students enrolled in an AP course have the option to take the AP Calculus (either AB or BC) exam in May.
Prerequisites: Mechanics or Waves, and “B” or better in Algebra II/ Trigonometry or Advanced Pre-Calculus, or an “A” in Pre-Calculus.