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Saint Thomas Academy
949 Mendota Heights Road
Mendota Heights, MN 55120
Phone: 651-454-4570
Fax: 651-454-4574

Mathematics Courses

Pre-Algebra I
Pre-algebra covers the following topics: operations involving integers and rational numbers; variables; exponents; solving and graphing first degree equations; inequalities; square roots and radical expressions; problem solving; and geometric figures and formulas. Does not meet the three-year math requirement.
Prerequisite: Instrustor's approval
Grade Levels: 7 - 9

Algebra I
Algebra I deals with the structure of the real number system, the use of algebraic symbols; a study of first and second degree equations and graphs; systems of first degree equations, as well as factoring; square roots, and the quadratic formula. Some uses of a graphing calculator are explored.
Prerequisite: Instructor's approval
Grade Levels: 7 - 10

Geometry
This course first establishes the tools of geometry – methods of reasoning, construction, the coordinate plane, and types of measurement. Subsequently, it focuses on properties and applications of lines, triangles, quadrilaterals, similarity, right triangle trigonometry, circles, and transformations.
Prerequisite: Instructor's approval
Grade Levels: 8 - 10

Honors Geometry
This course covers all of the topics in the regular geometry course. This program will move at a quicker pace and will incorporate enrichment activities to study the topic more in depth.
Prerequisite: Instructor's approval
Grade Levels: 9, 10

Algebra II
Algebra II reviews the topics taught in Algebra I. Also included is the study of radicals, polynomials, second degree equations, exponential functions, trigonometry, and data analysis (statistics).
Prerequisite: Instructor's approval
Grade Levels: 11, 12

Algebra II/Trigonometry
Algebra II/Trigonometry includes an in-depth study of the topics taught in Algebra I and Geometry. Additional topics include sequences/series, logical reasoning, transformations, and probability/statistics. Trigonometry is developed from the unit circle. Polynomial, exponential, and logarithmic functions are introduced.
Prerequesite: C- or better in Geometry, instructor's approval
Grade Levels: 10 - 12

Honors Algebra II/Trigonometry
Algebra II/Trigonometry is a rigorous in-depth study of functions.  A solid foundation in Algebra is essential.  Some areas of study include polynomial, exponential, and logarithmic functions.  Rational expressions, conic sections, data analysis, and probability are also explored.
Prerequisite: B or better in Honors Geometry OR minimum of A- in both Algebra I and Geometry, instructor's approval
Grade Levels: 9 - 11

Finite Math
Finite Math involves a review of linear, quadratic, rational, exponential and logarithmic functions. Finance areas include simple and compound interest, annuities, and amortization. System of equations with matrix applications and linear programming models are introduced to maximize and minimize profit and cost systems. Probability and statistic topics are introduced along with game theory.
Prerequisite: Algebra II, instructor's approval
Grade Levels: 11, 12

Math Analysis
The purpose of a precalculus course is to prepare students for a successful experience in Calculus.  Math analysis topics include number systems, polynomial, exponential, and logarithmic functions, sequences, series, and limits.  Trigonometry is developed on the basis of the unit circle and circular functions.  This is, in turn, applied to trigonometric identities and proofs.
Prerequisite: Instructor's approval
Grade Levels: 10 - 12

Honors Math Analysis
In the first 3 quarters, Honors Math Analysis covers the topics that are in the Math Analysis course.  The fourth quarter provides a significant introduction to Calculus.
Prerequisite: B or better in Honors Algebra II/Trigonometry OR A- or better in Algebra II/Trigonometry, instructor's approval
Grade Levels: 10 - 12

Honors Calculus I
Calculus deals with the major topics of differential and integral calculus. Applications include related rates, areas, volumes, rectilinear motion, and graphing with the use of the first and second derivatives.
Prerequisite: Instructor's approval
Grade Levels: 11, 12

Advanced Placement Calculus (AB)
Calculus (AB) deals with the major topics of differential and integral calculus.  Applications include related rates, areas, volumes, rectilinear motion, and graphing with the use of the first and second derivatives.  All topics that are part of the AB curriculum of the Advanced Placement Program are included.
Prerequisite: Instructor's approval
Grade Levels: 11, 12

Advanced Placement Calculus (BC)
AP Calculus (BC) deals with the major topics of differential and integral calculus.  Applications include related rates, differential approximation, areas, volumes, arc length, and polar coordinates.  The course concludes with units on infinite series, including Taylor series and differential equations.  All topics that are part of the BC curriculum of the Advanced Placement Program are included.
Prerequisite: Instructor's approval
Grade Levels: 11, 12

Advanced Placement Computer Science (A)
Advanced Placement Computer Science (A) is a study of computers and techniques of programming using Java, with emphasis on data structures and data manipulations in a variety of applications.
Prerequisite: B+ or better in current math course, instructor's approval
Grade Levels: 11, 12

Advanced Placement Statistics
The statistics course encompasses four major units: exploring and analyzing data, producing data through samples and experiments, understanding probability and simulation models, and drawing conclusions about a population through inference. Statistics is a requirement of a number of college majors including engineering, business, social sciences, and mathematics.
Prerequisite: Algebra II/Trigonometry, instructor's approval
Grade Levels: 11, 12

 


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