Mathematics

 

 

Courses Offered

  • Algebra I ABC
  • Algebra I
  • Algebra I Honors (semester summer course)
  • Geometry Fundamentals
  • Geometry
  • Geometry Honors
  • Algebra II
  • Algebra II/Trigonometry
  • Algebra II/Trigonometry II Honors
  • Pre-Calculus
  • Pre-Calculus Honors
  • Statistics
  • Advanced Placement Calculus AB
  • Advanced Placement Calculus BC
  • Multivariable Calculus Honors
  • Business Math
  • College Prep Math

Students Will…

  • analyze complex problems and persevere to solve them
  • use models and technology to represent and solve real world problems
  • communicate thinking in precise and clear language
  • realize inherent beauty of mathematics
  • pursue further studies of mathematics in college

Chair: Lisa Primero-Solano, M.Ed., Loyola Marymount University

 

COURSE DESCRIPTIONS

Algebra I A/B/C:  PreAlgebra topics are reviewed during the first semester of this course completed over the summer prior to the start of freshman year. Standard Algebra I is covered during the following two semesters. Algebra I provides work with linear and quadratic equations, inequalities, systems of equations, graphing, rational and irrational expressions, polynomials, and exponents. Geometry and statistics are integrated within the course.  Algebra I will have an emphasis on reading, speaking, and writing about mathematics, problem solving, and real world applications. Use of scientific calculators will be required and the use of graphing calculators will be introduced.  Prerequisites: Department Approval

Algebra I:  This is a standard two-semester course. Algebra I provides work with linear and quadratic equations, inequalities, systems of equations, graphing, rational and irrational expressions, polynomials, and exponents. Geometry and statistics are integrated within the course.  Algebra I will have an emphasis on reading, speaking, and writing about mathematics, problem solving, and real world applications. Use of scientific calculators will be required and the use of graphing calculators will be introduced.  Prerequisites: Successful performance on High School Placement Test (HSPT), Alverno Math Placement Exam, and Department Approval

Geometry Fundamentals A/B/C:  This course will cover geometric terms and the mathematical study of two-dimensional shapes and objects. Students learn basic theorems and proofs to develop an understanding of Geometry. The following topics will be covered: lines and angles, triangles, polygons, perimeter and area, ratio and proportion, parts of circles, chords, secants, tangents, slope and equations of lines. The course is taken over an entire calendar year, two semesters and a summer course.  Prerequisites: Qualifying grade in Algebra I or Algebra I ABC and Department Approval.

Geometry:  The study of geometry will provide a visual application of mathematics to the world around us. In this context, the student will develop reasoning skills and the concept of proof, which will be applicable in all aspects of life. The course will emphasize reading, speaking, and writing about mathematics, problem solving, real world applications and traditional constructions with compass and straightedge. The student will be expected to use a graphing calculator to investigate concepts and solve problems.  Prerequisites: Qualifying grade in Algebra I and Department  Approval.

Honors Geometry:  Course content is the same as Geometry but will work at an accelerated pace, enabling deeper investigation into topics such as formal proofs, secants, tangent lines, loci, and dilations.  Prerequisites:  Department Approval.

Algebra II:  Algebra II is designed for a second year course in algebra. The course presents a variety of topics including linear and quadratic equations, radical, exponential and logarithmic functions. The properties of numbers, graphs, expressions, equations, inequalities, and functions are ideas that run throughout the course. The course will emphasize problem-solving, reading, speaking, and writing about mathematics and real world applications. Students will be expected to use a graphing calculator (TI-Nspire) to further enhance the study of algebraic concepts.  Prerequisites: Department Approval

Algebra II/Trigonometry: This course emphasizes the real-world applications of mathematics using appropriate technology throughout the course. Topics covered include: the analysis of linear, quadratic, polynomial, radical, and trigonometric functions and relations. Graphing skills are developed in these areas using graphing utilities. Students will work with polynomial and rational algebraic expressions, binomial expansions, radicals, irrational and imaginary numbers, exponents, trigonometric identities and formulas, and circular functions. The analysis and solution of word problems is stressed throughout the course.  Prerequisites: “C+” or better in Algebra I and Geometry and Department Approval

Algebra II/Trigonometry (Honors):  This course is recommended for students who seriously wish to further their study in mathematics or science. This course emphasizes the real-world applications of mathematics using appropriate technology throughout the course. Topics covered include: the analysis of linear, quadratic, polynomial, radical, and trigonometric functions and relations. Graphing skills are developed in these areas using graphing utilities. Students will work with polynomial and rational algebraic expressions, binomial expansions, radicals, irrational and imaginary numbers, exponents, trigonometric identities and formulas, and circular functions. Students are challenged to use their developing mathematical skills to generate creative and elegant solutions to a wide range of problems.  Prerequisites: “B-” or higher in Algebra I Honors and Geometry Honors or an “A-” in Algebra I and Geometry and Department Approval.

Pre-Calculus (Standard/Honors):  Pre-Calculus is designed for the advanced mathematics student. The course comprises an intense review of topics from algebra and analytic geometry that are necessary for success in calculus and subsequent mathematics courses. The topics covered will be functions, trigonometry, series, sequences and conics, if time permits. Students are expected to read the language of an advanced mathematics course and use it in classroom discussion. Students will be expected to model real world application in both individual and group settings. Students will use the graphing calculator (TI-Nspire) to investigate concepts and solve problems.  Prerequisites: Department Approval

AP Calculus AB:  This is a college-level calculus course intended only for the most accomplished and motivated mathematics students. All students must sit for the Advanced Placement Calculus AB Examination in May. In order to cover all of the material necessary to succeed on the examination, the course has additional class time scheduled outside of the normal school day. The course begins with a comprehensive review of algebra, trigonometry, and analytic geometry. Then, coverage of limits of functions, the derivative and its applications, and the integral and its applications is provided. Students complete a review of previous AP Calculus Examinations at the end of the course in preparation for the AP Examination.  Prerequisites: “B-” or higher in Pre-Calculus Honors and Department Approval. Students must attend an AP Workshop during the summer before the course and attend extra sessions before the AP Exam in May.

AP Calculus BC:  This is a college-level calculus course intended only for the most accomplished and motivated mathematics students. The course includes all topics covered in the AP Calculus AB course and also presents intensive study of vectors, sequences and series, and advanced integration topics. All students must sit for the Advanced Placement Calculus BC Examination in May. In order to cover all of the material necessary to succeed on the examination, the course has additional class time scheduled outside of the normal school day.  Prerequisites: Qualifying Grade in AP Calculus AB and Teacher Recommendation.  Students must attend an AP Workshop during the summer before the course (if offered) and attend extra sessions before the AP Exam in May.

Statistics:  Statistics will develop in the student the ability to analyze and solve real world problems, to think critically and communicate in writing clearly and effectively. Students will learn to develop hypotheses and construct convincing arguments using widely accepted methods for collection of data and mathematical tools for analysis. They will learn that a rigorous adherence to accepted statistical methods will validate an argument and ensure the conclusion drawn is compelling. Students will also gain a thorough understanding of probability and will be able to model real world situations using advanced probability. While Statistics supplies the student with mathematical tools to deal with many fields of study, it also prepares students to reason clearly throughout their lives.   Prerequisites: Department Approval

Business Math/College Preparatory Math (1 semester each, full year):  Business Mathematics is a one semester course where students learn to use mathematics for personal finance as well as for business. Students will review and apply mathematical operations with whole numbers, decimals, fractions, ratios, and percents. They will understand the mathematics of being a small business owner/entrepreneur and learn the terminology relating to personal and business mathematics applications.  College Preparatory Math is a one semester course designed to prepare students for the university placement exam as well as enrollment in college mathematics. This course includes math study skills, arithmetic skills, problem-solving, algebra and geometry.

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