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  Math Department Courses  
Course ID
Credits
Grade

211 Honors Math 1- Algebra 1
1
9
This full year of Algebra 1 incorporates proofs and the most challenging problems in the text. Topics include operations with Real Numbers and Polynomials; solutions of open sentences including inequalities, absolute value, and quadratic equations; factoring and simplifying rational expressions; radicals; word problems; and graphing. Since this is an integrated Algebra 1, students will be introduced to matrices and statistics and other enrichment topics, to reinforce algebraic concepts.

213 Algebra 1
1
9
This is a full year course in Algebra that begins with an introduction to the language of Algebra: variables. It covers topics that include operations with Integers and Real Numbers; simplifying algebraic expressions; solving equations and inequalities; working with polynomials; factoring; rational expressions; radicals; word problems’ functions; graphing; and applications of all of the above.

221 Honors Math 2- Geometry and Algebra 2
1
9, 10
This course covers a full year of both Algebra 2 and Geometry. Topics include relations, functions, graphing, quadratics, complex numbers and operations, proofs, word problems and conic sections, plus the fundamentals of plane and coordinate geometry. This is an integrated course so students will be introduced to matrices, statistics, and trigonometric ratios to reinforce both algebraic and geometric concepts.

223 Geometry
1
9, 10
This course shows students how to apply the process of logical thinking to non-mathematical situations. Topics that will be covered are basic figures, deductive and inductive reasoning; formal and informal proofs; angles; parallel and perpendicular lines; congruent triangles and applications; similar triangles and related proportionality applications; quadrilaterals; similar polygons; right triangles; Pythagorean Theorem; trigonometric ratios; circles constructions; measuring plane and three dimensional figures; coordinate geometry and reflections. Since this is an integrated course, students will also use algebraic means to solve geometric problems.

230 Honors Math 3 - Precalculus
1
10, 11, 12
This course is an in-depth study of functions and other advanced topics, meant to prepare students for a course in Calculus. Topics covered include polynomial and rational inequalities; linear programming; transformations; circular functions, their graphs, and applications; polar and rectangular coordinate systems; conic sections; logarithmic and exponential functions; and sequences and series.

233 Algebra 2
1
10, 11
This course follows Algebra1 and Geometry. This course begins with an intensive review of Algebra 1 topics. This will be followed by a study of relations and functions, irrational numbers, quadratic equations and inequalities, graphs, polynomials; factoring; rational expressions; logarithms, matrices; complex numbers, functions; conic sections,
including circles, parabolas, ellipses and hyperbolas. Problem solving techniques are developed throughout the course. Optional topics may include sequences and series and probability.

240 Advanced Placement Calculus
1
11, 12
This course is in compliance but not limited to the curriculum as suggested by the Advanced Placement College Board curriculum for Advanced Placement Calculus AB. This course corresponds to one and three-quarters college courses in Calculus and explores calculus
using an algebraic, numeric and graphical approach. Topics in integral and differential calculus include limits; derivatives of algebraic and transcendental functions; methods of integration of algebraic and transcendental functions; applications of the derivative (related rates, optimization, simple differential equations, slope fields); and integration (accumulation function area, volume, arc length, surface area).

250 Advanced Placement Statistics
1
11, 12
This course provides students with a non-calculus study of statistics and probability theory. It is taught in compliance with, but not limited to, the curriculum suggested by the Advanced Placement College Board Curriculum for Advance Placement Statistics. Topics covered include explorations and analysis of data using graphical and numerical techniques, the planning of a study including clarification of questions and methods of data collection and analysis, elements of probability, probability distributions, and statistical inference including confidence intervals and test of significance

241 Honors Calculus
1
11, 12
This course is offered as an alternative to Advanced Placement Calculus. Although the topics covered are the same as in AP Calculus, the depth of coverage is less extensive. It is designed for students who have shown an aptitude and ability to handle algebraic, geometric, and trigonometric concepts. Topics covered include junctions, limits, differentiation, continuity, curve sketching, related rates, maximal and minima, velocity and rates, integration, area under and between curves, volumes, average values, natural logarithms, exponential functions, partial fractions, and integration by parts.

242 Precalculus
1
10, 11, 12
This course is designed to expand topics covered in previous courses and is a preparation for calculus. Topics included are: review of algebraic concepts; functions and their graphs; polynomial and rational functions; exponential and logarithmic functions; conic sections; polar coordinates. A large segment of this course is devoted to the study of trigonometry such as circular and trigonometric functions, trigonometric functions of acute angles, and angles in the Cartesian plane, graphs of trigonometric functions and their inverses, trigonometric identities, solving trigonometric equations, and laws of sine and cosine. Additional topics include sequences and series, set theory and counting, probability and matrices.

253 Trigonometry/Probability & Statistics
1
11, 12
In this course, over half of the year is spent on Trigonometric topics including angles and their measures; trigonometric functions; real world trigonometric applications that include navigation, area problems, angles of elevation and depression; solving trigonometric equations; law of seines and cosines; and exponential and logarithmic functions.
The remainder of the year is an introduction to descriptive and inferential statistics and the application of these topics; basic probability theory, with its applications in random events; and “casino style” games.


Cathedral High School  •  260 Surrey Road  •  Springfield, MA 01118  •  (413) 782-5285
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