2710 N. WATER ST. DECATUR, IL 62526 (217) 875-2431

It is our goal to educate the St. Teresa community to lead others, and ourselves, in a more virtuous life. We are following a "virtue of the week" program to help us refocus on this mission, and to be better examples to others in our community.


Every Monday we will share the "virtue of the week" and ask that you join us in reflecting and implementing it into your daily lives. Learning to Lead

Mathematics

 

Algebra – CP1
This course is designed to develop basic skills in the fundamentals of algebra. The following topics are covered: Evaluation of expressions and equations with variables, rational numbers, equations, applications of rational numbers, inequalities, polynomials, factoring, rational expressions, functions and graphs and linear equations. Text: Basic Algebra, Houghton Mifflin, 1993, Pre-Algebra, Prentice Hall, 2001

 

Algebra I – CP2
This course is a thorough treatment of operations on real numbers, including irrational numbers. The student will be able to perform the basic operations on algebraic expression, solve linear and quadratic equations in one variable, solve systems of linear equations in two variables, and graph linear equations in two variables. Sections on problem solving strategies will be included on a periodic basis. Text: Algebra I, Merrill; 1995, Algebra I, Glencoe, 2001

 

Honors Algebra I
This course is a thorough treatment of operations on real numbers, including irrational numbers expressed as radicals. The student will learn to perform operations or polynomial expressions and rational expressions. We will solve linear equations in one and two variables. The student will learn to solve quadratic equations by factoring, by completing the square, and by using the quadratic formula. The student will learn to graph equations of the form Ax + By = C. Systems of equations will be solved using graphing and algebraic methods. The above topics will be used for problem solving applications throughout the course. Text: Algebra I, Merrill, 1995, Algebra, Glencoe, 2001

 

Geometry – CP1
This course is designed for students who would have difficulty with a standard geometry course. An uncomplicated yet relatively thorough introduction to the fundamentals of geometry is provided. The areas covered in the first semester include properties of triangles, quadrilaterals and parallel lines. Circle, areas and volumes are covered in the second semester. Topics in coordinate geometry will be covered as time permits. Text: Basic Geometry Houghton Mifflin; 1990

 

Geometry – CP2
This is a complete course in geometry for the average math student. Direct and indirect proofs in plane geometry provide the primary focus of the first semester. Second semester topics include polygons, the Pythagorean theorem, circles, areas and volumes of geometric objects, coordinate geometry and an introduction to trigonometry. Prerequisites: A passing grade in Algebra I or an “A” in Basic Algebra with teacher recommendation. Text: Geometry for Enjoyment and Challenge, McDougal Littell, 2000 Honors Geometry This course is similar to Geometry. A faster pace is used and the more difficult problems in each section are covered. Prerequisites: “A”, “B” or “C” in Honors Algebra I or “A” in Algebra I with the teacher recommendation. Text: Geometry for Enjoyment and Challenge, McDougal Littell, 2000

 

Intermediate Algebra
This course is designed for those students who would normally have difficulty with a standard Algebra II course. It provides a simpler, yet thorough, review of the fundamentals of Algebra. This course will cover the major areas of Algebra: real numbers, linear sentences, polynomials, rational expressions, irrational and complex numbers, systems of linear equations, relations and functions, quadratic sentences, and quadratic systems. Prerequisites: at least a grade of “C” in Basic Algebra and Basic Geometry or recommendation. Text: Merrill Algebra I, Glencoe/McGraw-Hill 1995

 

Algebra II
A course to develop skills and concepts of the following topics: fundamental operations with real numbers and polynomials, solution of equations and inequalities, quadratic equations, word problems, graphs of linear equations and inequalities and conics, functions, operations with rational expressions, radicals and complex numbers, exponents, linear systems, synthetic division, remainder, factor theorem. Prerequisites: At least a grade of “C” in Algebra I and Geometry or recommendation. Text: Algebra II & Trigonometry, Houghton Mifflin, 1992.

 

Honors Algebra II
A course to develop skills and concepts of the following topics: fundamental operations with real numbers and polynomials, solution of equations and inequalities, quadratic equations, word problems, graphs of linear equations and inequalities and conics, functions, operations with rational expressions, radicals and complex numbers, exponents, linear systems, synthetic division, and remainder and factor theorem, and basics of trigonometry. Prerequisites: At least a grade of “C” in Algebra I and Geometry or recommendation. Text: Algebra II & Trigonometry, Houghton Mifflin,1992.

 

Math IV
This course consists of a review of the Real Number System, exponents and radicals, polynomials, fractional equations, solving equations and inequalities, graphing on the Cartesian plane, inverse functions, quadratic functions, synthetic division, real zeros, complex numbers, rational functions, trigonometry, radians versus degrees, graphing trigonometric functions, inverse trigonometric functions, fundamental trigonometric identities and equation solving, sum and difference multiple angles and product-sum formulas in trigonometry, law of sines and cosines, vectors in a plane exponential functions, logarithmic functions, solving with vectors, systems of equations and inequalities, matrices and determinants, analytic geometry. Prerequisites: At least a grade of “C” in Algebra II or recommendation of an instructor. Text: PRECALCULUS, Fifth Edition; Larson, Hostetler, 2001.

 

AP Calculus
This course includes a quick review of analytic geometry, functions, parametric equations, and trigonometry, a study of limits and continuity, derivative and differentiation, implicit differentiation, extreme function values and using differentiation to graph functions, integration, finding the area of a plane region, finding volumes of a solid by slicing into disks and washers, and comparing this to finding volume by cylindrical shells, finding the center of a mass of a rod, centroid of a plane region, a study of inverse functions, and natural logarithmic functions, and exponential functions and finding their derivatives, L’Hôpital’s Rule. The use of graphing calculators is taught. This course is designed to be equivalent to at least a semester of college calculus. Prerequisites: “A” or “B” in Honors Algebra I, Honors Geometry, Algebra II, and Math IV or permission of Math IV instructor. Text: Calculus, A Complete Course, 2nd Edition, Addison-Wesley, 2000; Pre-calculus, 3rd Edition, D. C. Heath & Company 1993.

 

Probability & Statistics
This course is designed for students with a wide variety of interests. Statistics involves collecting numerical information called data, analyzing it, and making meaningful decisions based upon the data. It is intended for seniors who normally would not be enrolled in either Math IV and/or AP Calculus.

 

Math Survey – Grade Levels 9-12
This course is a comprehensive survey of math that focuses on building and enriching skills that have been for the most part presented in previous classes. Topics focus on basic number operators, geometry, and an introduction to algebra and equations.


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