MATHEMATICS

Mathematics

Curriculum

For more info, contact:

Dr. Julie Hunter '01, Mathematics Department Chair

jhunter@archbishopchapelle.org

  • Introduction to Algebra

    Introduction to Algebra

    8th Grade

    • This yearlong course provides an overview of topics needed to be successful in Algebra I and Geometry. Topics of study include real numbers, the coordinate plane, solving linear equations, functions, graphing, systems of linear equations, exponents, geometry, measurement, data analysis, and transformations.  Embedded in instruction are word problems that include real life applications as well as opportunities to practice problems similar to those on the ACT/SAT.  Homework is essential to succeeding in this class and will be assigned daily.  
  • Algebra I

    Algebra I

    8th-9th Grade

    Credit: 1.0

    • This yearlong course is the foundation for all subsequent high school math courses.  Topics of study include solving equations, ratios, proportions, solving inequalities, linear functions, graphing, systems of equations and inequalities, exponents, exponential functions, polynomials, quadratic functions and equations, radical expressions and equations, data analysis and probability.  Embedded in instruction are word problems that include real life applications as well as opportunities to practice problems similar to those on the ACT/SAT.  Homework is essential to succeeding in this class and will be assigned daily.  The TI-30 XII 2-line display calculator is required for this course.

    Algebra I Honors

    8th-9th Grade

    Credit: 1.0

    • This yearlong course is an in-depth and rigorous study of concepts covered in Algebra I.  Topics of study include solving equations, ratios, proportions, solving inequalities, linear functions, graphing, systems of equations and inequalities, exponents, exponential functions, polynomials, quadratic functions and equations, radical expressions and equations, data analysis and probability.  Embedded in instruction are word problems that include real life applications as well as opportunities to practice problems similar to those on the ACT/SAT.  Homework is essential to succeeding in this class and will be assigned daily.  The TI-30 XII 2-line display calculator is required for this course.
  • Geometry

    Geometry

    9th-10th Grade

    Credit: 1.0

    • This yearlong course encompasses properties, measurement, and relationships of points, lines, angles, and figures in space.  Topics of study include parallel lines, transformations, congruent figures, polygon and triangle relationships, similarity, right triangles, trigonometry, area, volume, geometric probability, and circles.  Embedded in instruction are word problems that include real life applications as well as opportunities to practice problems similar to those on the ACT/SAT.  Homework is essential to succeeding in this class and will be assigned daily.  The TI-30 XII 2-line display calculator is required for this course. 

    Geometry Honors

    9th-10th Grade

    Credit: 1.0 

    • This yearlong course is an in-depth and rigorous study of concepts covered in Geometry.  Topics of study include parallel lines, transformations, congruent figures, polygon and triangle relationships, similarity, right triangles, trigonometry, area, volume, geometric probability, and circles.  Embedded in instruction are word problems that include real life applications as well as opportunities to practice problems similar to those on the ACT/SAT.  Homework is essential to succeeding in this class and will be assigned daily.  The TI-30 XII 2-line display calculator is required for this course.
  • Algebra II

    Algebra II

    10th – 11th Grade

    Credit:  1.0

    • This yearlong course is a brief review of Algebra I with the extension of topics to a deeper level.  Topics of study include function, equations, graphs, linear systems, quadratic functions and equations, polynomials, polynomial functions, radical functions, rational exponents, exponential and logarithmic functions, rational functions, parabolas, probability and statistics, period functions, trigonometry.  Embedded in instruction are word problems that include real life applications as well as opportunities to practice problems similar to those on the ACT/SAT.  Homework is essential to succeeding in this class and will be assigned daily.  The TI-84 graphing calculator is required for this course.

    Algebra II Honors

    10th – 11th Grade

    Credit:  1.0

    • This yearlong course is an in-depth and rigorous study of concepts covered in Algebra II.  Topics of study include function, equations, graphs, linear systems, quadratic functions and equations, polynomials, polynomial functions, radical functions, rational exponents, exponential and logarithmic functions, rational functions, parabolas, probability and statistics, period functions, trigonometry.  Embedded in instruction are word problems that include real life applications as well as opportunities to practice problems similar to those on the ACT/SAT.  Homework is essential to succeeding in this class and will be assigned daily.  The TI-84 graphing calculator is required for this course.
  • Advanced Math PreCalculus

    Advanced Math PreCalculus 

    11th-12th Grade

    Credit: 1.0

    • This yearlong course covers trigonometry, advanced functions, and discrete math.  Trigonometry topics include angle measure, trigonometric functions, right triangle trigonometry and identities, oblique triangles, circular functions and identities, graphing circular functions, and inverse functions. Advanced function topics include complex numbers, polar coordinates, polar equations, and polynomial functions. Discrete math topics include matrices, sequences and series, binomial theorem, counting techniques and other probability topics. Also included is an overview of various statistical topics including data representation, central tendency and variation, expected value, correlation and regression, sampling, and experimental design. Embedded in instruction are word problems that include real life applications as well as opportunities to practice problems similar to those on the ACT/SAT. Homework is essential to succeeding in this class and will be assigned daily.  The TI-84 graphing calculator is required for this course.

    Advanced Math PreCalculus Honors

    11th-12th Grade

    Credit: 1.0

    • This yearlong course covers trigonometry, advanced functions, and discrete math. Trigonometry topics include angle measure, trigonometric functions, right triangle trigonometry and identities, oblique triangles, circular functions and identities, graphing circular functions, and inverse functions. Advanced function topics include complex numbers, polar coordinates, polar equations, logarithmic and exponential functions, polynomial and rational functions, and piecewise-defined functions. Discrete math topics include counting techniques, sequences and series, binomial theorem, and probability. The course concludes with an introduction to Calculus and the limit process, and special focus is placed upon preparing students for Calculus. Embedded in instruction are word problems that include real life applications as well as opportunities to practice problems similar to those on the ACT/SAT. Homework is assigned online through the MathXL platform and is essential to succeeding in this class. The TI-84 graphing calculator is required for this course.


    Advanced Math PreCalculus Dual Enrollment

    11th-12th Grade

    Credit: 1.0

    • This yearlong course is taken to earn both high school and college credit as part of the University of New Orleans dual enrollment program. Six credit hours for Math 1125 (PreCalculus Algebra) and 1126 (PreCalculus Trigonometry) are earned at the University of New Orleans upon passing both semesters.  This credit is accepted at all Louisiana public universities and most out of state universities. To enroll, a student must have an ACT Composite score of 19 and a Math sub score of 19 as well as demonstrate a high level of proficiency in previous high school math courses. The first semester of this course consists of the following Algebra topics: linear and quadratic equations and inequalities, families of functions and their graphs, polynomial, rational, exponential, and logarithmic functions, transformations, and piecewise defined functions. The second semester of this course consists of the following Trigonometry topics: Trigonometric functions of real numbers, trigonometric functions of angles, analytic trigonometry, systems of equations and inequalities, the binomial theorem.. Homework is generated using the web-based system, MathXL, and quizzes and tests are taken on paper. Help features, individualized feedback, and repeated opportunities for practice are available as part of the online MathXL component. The T1-30 XII 2-line display calculator is required for this course.
  • AP Calculus AB

    AP Calculus AB

    12th Grade

    Credit: 1.0

    • This yearlong course includes a review of graphical, analytical, and numerical approaches to the concepts of limits, differentiation, and integration.  Topics include major theorems; finite and infinite limits; continuity; transcendental functions; trigonometric and inverse trigonometric functions; techniques of differentiation, computation, and applications of derivatives, including analysis of curves, optimization, related rates, l’Hospital’s rule, modeling rates of change in applied contexts including velocity, speed, and acceleration; differential equations and slope fields; inverse functions; techniques of integration; computation of definite integrals through Riemann sums and the Fundamental Theorem of Calculus; and applications of the definite integral including area, volume, distance traveled and accumulation. Special attention is placed on preparation for the Calculus AP exam. Graphing calculator applications and activities, as well as ACT practice problems, are incorporated throughout the course. Students are placed in this course based on previous grades, test scores, and teacher recommendations.  

  • Probability and Statistics

    Probability and Statistics

    12th Grade 

    Credit: 1.0

    • This yearlong course includes an overview of various statistical topics including data representation, central tendency and variation, the Normal Distribution, correlation and regression, sampling, experimental design, simple and compound probability, and probability distributions. Students will explore the mathematics of estimation, decision making, statistical problem solving, and quantitative research, as well as ACT and SAT problem solving. Successful completion of Algebra I, Geometry, Algebra II, and Advanced Mathematics Precalculus are prerequisites for this course.


    Probability and Statistics

    12th Grade 

    Credit: 1.0

    • This yearlong course includes an overview of various statistical topics including data representation, central tendency and variation, the Normal Distribution, correlation and regression, sampling, experimental design, simple and compound probability, probability distributions, and estimation through confidence intervals and hypothesis testing. Students will explore the mathematics of estimation, decision making, statistical inference, and research. Students will conduct an observational research study project that goes through the phases of planning, data collection, and data analysis. Emphasis is also placed on ACT problem solving. Successful completion of Algebra I, Geometry, Algebra II, and Advanced Math PreCalculus are prerequisites for this course.

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