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Course Guide

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Mathematics

  • Algebra 1

    511-Algebra 1                                            1 CR
                                                                       
    Algebra 1 is the first course in a high school basic mathematics program. It is designed to develop the student’s reasoning power while covering such topics as signed numbers, linear equations, polynomials, factoring, exponents, graphing, systems of linear equations, inequalities, solution of quadratic equations, and rational and irrational numbers. Basic mathematical operations are reviewed throughout the course.

    PREREQUISITES: Entering freshmen must score below the 60th percentile on the math section of the HSPT.

  • CP Algebra 1

    514-CP ALGEBRA 1                                                    1 CR
    Algebra 1 is the first course in a college preparatory mathematics program. It is designed to develop the student’s reasoning power while covering such topics as signed numbers, linear equations, polynomials, inequalities and graphing, systems of linear equations, solutions of quadratic equations, and rational and irrational numbers, negative integers and zero as exponents, radicals and radical equations, quadratic formula, and percent problems.
    PREREQUISITES: Entering freshmen require a score of at least 60th percentile on the math section of the HSPT.

  • Geometry

    521-GEOMETRY                                               1 CR

    Geometry is designed as an integrated approach for theory and applications utilizing both inductive and deductive reasoning. Using given facts and/or observations students develop certain conclusions. A large portion of a college preparatory geometry course is covered with less emphasis on proofs, although still required. Basic mathematic skills are reviewed throughout the course.

    PREREQUISITES: Completion of Algebra 1 or C- or below in CP Algebra 1. 

  • CP Geometry

    522-CP GEOMETRY                                                    1 CR 
                   
    Geometry is designed to balance theory and application. Students learn the process of writing formal proofs through inductive and deductive reasoning. Concepts of space and plane geometry are integrated and algebra skills maintained. Emphasis is placed on logical thinking and the application of special relationships to plane and solid figures.

    PREREQUISITES:
    Students in CP Algebra 1: Current teacher recommendation and 73% or above in CP Algebra 1.

    Students in Algebra 1: current teacher recommendation and a 97% or above, extra summer work required, and 80% or above on the CP placement test.

    Incoming freshmen require a score of at least 77% on Diocesan Algebra Exemption Exam.

  • HN Geometry

    524-HONORS GEOMETRY                                          1 CR
    Honors Geometry is designed to develop and use the higher level of reasoning academically talented students possess. The course covers the same basic material as CP Geometry at a more rapid pace. Additional areas of enrichment include a unit of symbolic logic, inductive reasoning, and an emphasis on proofs.
    PREREQUISITES: Rising 10th Graders: Current teacher recommendations and a 95% or above in CP Algebra 1. Incoming 9th Graders: at least the 92nd percentile on the math section and 85th percentile on the verbal section of the HSPT, an A in Algebra 1, and at least 80% on the Diocesan Algebra 1 Exemption Exam.

  • Algebra 2

    531-ALGEBRA 2                                               1 CR

    Algebra 2 is an extension of Algebra 1 and incorporates concepts mastered in Geometry. This course develops concepts including graphing families of related graphs, linear and quadratic equations, functions, parabolas, rational expressions, radicals, and complex numbers.

    PREREQUISITES: Completion of Algebra 1. 

  • CP Algebra 2

    532-CP ALGEBRA 2                                                     1 CR
    CP Algebra 2 is an extension of Algebra 1 and incorporates concepts mastered in Geometry.  A transformational approach to graphing is used with families of related graphs. Linear and quadratic equations are covered as well as complex numbers, relations and functions, logarithmic functions, sequences, series, parabolas, and circles. 

    Prerequisites:
    If in Geometry: Current teacher recommendation, 93% or above in Geometry, 95% or above in Algebra 1, extra summer work required, and 80% or above on CP placement test. 

    If in CP Geometry, 73% or above.

    If in HN Geometry, completion of course.


  • HN Algebra 2

    534-HONORS ALGEBRA 2                                        1 CR
    Honors Algebra 2 is an accelerated Algebra 2 course. Students are expected not only to master algebraic mechanics but also to understand the underlying theory and to apply the concepts to real-world situations.  Linear, polynomial, radical, rational, and logarithmic functions are covered.  Additional topics include complex numbers, sequences, series, and matrices.

    PREREQUISITES:
    80% or above in HN Geometry; or

    Rising eleventh graders: Current CP Geometry teacher recommendation with 95% or above in CP Geometry, PVI Algebra 1 teacher recommendation and 95% or above in PVI CP Algebra 1. If student transferred to PVI and did not take Algebra 1 at PVI, then he/she must take an Algebra placement test and score at least 90% and have current teacher recommendation. 

    Rising tenth graders:  If in CP Geometry, current teacher recommendation, 95% or above in CP Geometry and a 90% or above on the Algebra Exemption Exam the student took prior to ninth grade. If student transferred to PVI, then he/she must have scored 90% or above on Algebra placement test.

    Entering freshmen require a 92% on the mathematics section of the HSPT, 80 % on both the Algebra and the Geometry Exemption Exams.

  • Probability & Statistics

    538-PROBABILITY & STATISTICS                                          1 CR
    Probability and Statistics is an activity-based introduction to statistics that emphasizes working with data, graphs, and statistical ideas including the use of statistical software. Students are expected to develop and present professional quality statistical analyses. Course content includes theory of probability, description of statistical measurements, sampling and experimental design, probability distributions, and statistical inference. Graphing utilities and other relevant technology tools will be used when appropriate to support instruction, especially to allow students to explore graphical, numerical, and symbolic relationships.
    PREREQUISITES: Completion of an Algebra 2 course.

    PLEASE NOTE: Many college admissions offices prefer a Pre-Calculus course over a Prob/Stats course.

  • Pre-Calculus

    541-PRE-CALCULUS                                       1 CR

    Pre-Calculus completes the formal study of the functions that include linear, quadratic, polynomial, exponential, logarithmic, and rational. Students focus on modeling, problem solving, data analysis, trigonometric and circular functions and their inverses, complex numbers, conics, matrices, sequences, and series.

    PREREQUISTES: Completion of Algebra 2. 

  • CP Pre-Calculus

    542-CP PRE-CALCULUS                                             1 CR
    CP Pre-Calculus is an intense full year course that offers a comprehensive study of trigonometry, a thorough treatment of functions, rational functions, logarithmic, exponential, and inverse functions from an algebraic and graphing approach, and an introduction to calculus. 
    PREREQUISITES: Completion of HN Algebra 2 or 73% or above in CP Algebra 2.

  • AP Pre-Calculus

    ADVANCED PLACEMENT PRE-CALCULUS              1 CR
    In AP Precalculus, students explore everyday situations and phenomena using mathematical tools and lenses. Through regular practice, students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. They will learn how to observe, explore, and build mathematical meaning from dynamic systems, an important practice for thriving in an ever-changing world. AP Precalculus prepares students for other college-level mathematics and science courses. The framework delineates content and skills common to college precalculus courses that are foundational for careers in mathematics, physics, biology, health science, social science, and data science.
    PREREQUISITES: 80% or above in Honors Algebra 2 or 95% or above in CP Algebra 2. Please review AP policies on page 5.

  • AP Calculus AB

    548- ADVANCED PLACEMENT CALCULUS AB        1 CR
                                                                                       11, 12
    This is a fast-paced college level course in differentiable and integral Calculus of a single variable functions.  The course follows the Advanced Placement Program and is primarily concerned with developing an understanding of the concepts of Calculus.  Topics include limits, continuity, derivatives, integrals, differential equations, and slope fields as well as applications of Calculus in the social and physical sciences. The AP Calculus AB curriculum covers one semester of college calculus.
    PREREQUISITES:  73% or above in AP Pre-Calculus; or 95% or above in CP Pre-Calculus; or completion of CP Calculus. Please review AP policies on page 5.
     

  • AP Calculus BC

    549- ADVANCED PLACEMENT CALCULUS BC        1 CR
                                                                                       11, 12
    This is a fast-paced college level course in differentiable and integral Calculus.  The course follows the recommendations of the AP Program and is primarily concerned with developing an understanding of the concepts of Calculus.  Topics include limits, continuity, derivatives, integrals, differential equations, and slope fields as well as applications of Calculus in the social and physical sciences. In addition, students will study Infinite Series, Arc Length and application of differential and integral Calculus involving polar and parametric functions.  The AP Calculus BC curriculum covers two semesters of college calculus.
    PREREQUISITES: Completion of AP Calculus AB. Please review AP policies on page 4.

  • CP Calculus

    557-CP Calculus                                                  1   CR
    This course is intended for college prep students who have completed Pre-Calculus and want a college prep level introduction to Calculus course.  It is a full year course covering a review of trigonometry and Pre-Calculus, and then covering Calculus topics of limits, continuity, derivatives, anti-derivatives, integrals and applications.  

    PREREQUISITES: Completion of Pre-Calculus, CP Pre-Calculus, or AP Pre-Calculus.

  • AP Statistics

    562-ADVANCED PLACEMENT STATISTICS              1 CR
                                                                       11, 12
    This course provides an introduction to statistics at a college level.  Four areas are explored in depth:  data collection, data analysis, probability, and statistical inference.  Since most of the statistical applications involve detailed descriptions of actual business, medical and research situations, a high proficiency in reading and writing is essential.  Please review AP policies on page 4.
    PREREQUISITES:  Completion of CP Pre-Calculus or AP Pre-Calculus.  Or 93% or above in CP Algebra 2 or 80% or above in HN Algebra 2 and must take Pre-Calculus concurrently with AP Statistics.

Faculty


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St. Paul VI Catholic High School is a private Diocesan Catholic preparatory school for girls and boys in grades 9-12 in Chantilly, Virginia, seeking to help our students Grow in Grace and Wisdom. Our school is part of the Diocese of Arlington and offers rigorous academics, an inclusive community focused on spiritual and leadership formation, and a proud athletic tradition featuring nationally renowned programs competing in the Washington Catholic Athletic Conference and the Virginia Independent Schools Athletic Association.

St. Paul VI Catholic High School is an accredited member of the Middle States Association of Colleges and Schools.