### RHS Math Department

**Faculty**

Steve Casagrande (Department Head)

Fred Damon

Kathy Hoffman

Ariana Launie

Nick Liquori

Valerie Mulready

Lauren Rizzotti

GRADE 9 | GRADE 10 | GRADE 11 | GRADE 12 |

Geometry Algebra I | Algebra II Geometry
| AP Statistics Pre-Calculus Algebra II SAT Prep - Math
| AP Calculus Calculus AP Statistics Statistics Algebra III Pre-Calculus SAT Prep - Math |

**ALGEBRA I** (1 Credit) (Grade 9)

Algebra I is designed to acquaint the student with the power of symbolism and the structure of algebra. The why as well as the how must be emphasized if the student is to succeed in his/her mathematical development. In today’s world, topics such as sets, coordinates, number systems, graphs of one or two dimensions, equations, inequalities, and absolute values have acquired special importance.

**ALGEBRA I CONCEPTS** (1 Credit) (Grade 9)

This is the first course in a sequential program that is structured to meet the basic requirements of college entrance. This course enables the student to be mathematically successful because of the slower concentrated pace of the course: moreover, it teaches all the algebraic skills, which are the foundation of all future study in the math and science fields. Topics will include: variables and algebraic expressions, one step and multi-step equations, integers, factoring, and quadratic equations, percent and radical expressions. Emphasis will be placed on critical thinking and problem solving. *(Pre-requisite: Pre-Algebra)*

**GEOMETRY **(1 Credit) (Grades 9 or 10)

Mathematics is one of the most active of all the sciences. In order to meet demands of the industry, the professions, and mathematics it, mathematics have extended and combined old branches of mathematics as well as developed new ones. While geometry is one the oldest branches of mathematics, it is today finding new areas of applications in fields such as space exploration and rocket designing. This course is intended to discuss properties of points, lines, surfaces and solids. Modern

Geometry will be explored by integrating plane, solid and coordinate geometry with an effective use of algebra. *(Pre-requisite: Algebra I)*

**GEOMETRY HONORS **(1 Credit) (Grade 9 or 10)

This course is designed for students who have demonstrated exceptional ability in Algebra I. It will provide an accelerated and more rigorous treatment of geometric concepts. Geometric concepts will be explored in settings that involve problem solving skills and the use of mathematical proofs. *(Pre-requisites: Honors Algebra I recommended grade of B- or better or Algebra I recommended grade of A, with teacher recommendation) *

**GEOMETRY CONCEPTS** (1 Credit) (Grade 10)

This is the second course in a four-year sequential program that is structured to meet the basic requirements of college entrance. Algebra I and geometry have been extended to cover a three-year period for those students who could encounter difficulty with the two-year program. Geometry Concepts will introduce the properties of points, lines, surfaces, and solids. It will also include the study of polygons, area, perimeter, and volume. Emphasis will be placed on critical thinking and problem solving. *(Pre-requisite: Algebra I Concepts)*

**ALGEBRA II** (1 Credit) (Grade 10 or 11)

This course is a continuation of Algebra I with and in-depth approach to the following topics: sets, properties of numbers, systems of linear equations, polynomials and factoring, functions and relations, irrational numbers and quadratic equations, and trigonometric functions and complex numbers, progressions and binomial expansion. The development of this course places emphasis on the fact that one learns mathematics best by doing it and the proper balance between theory and practice is essential to understanding. *(Pre-requisite: Geometry)*

**ALGEBRA II HONORS** (1 Credit) (Grades 10 or 11)

This course is an advanced mathematics course designed for students with exceptional ability in mathematics that expands on the algebraic concepts of Honors Algebra I. The following topics will be covered: sets, properties of numbers, systems of linear equations and inequalities, polynomials and factoring, functions and relations, irrational numbers and quadratic equations, and trigonometric functions and complex numbers. There will be a heavy emphasis on solving word problems throughout the course. *(Recommended a grade of B- or better in Honors Geometry or an A or better in Geometry with teacher recommendation)*

**ALGEBRA II CONCEPTS** (1 Credit) (Grade 10 or 11)

This is the third course in a four-year sequence which is structured to meet basic requirements of college entrance. The purpose of this course is to provide the second part of a two-part sequence in algebra skills. This course enables the student to be mathematically successful because of the slower concentrated pace of the course; moreover, it teaches all the algebraic skills which are the foundation of all future study in the math and science fields. Topics will include: equations with two or more variables, equations with fractions, decimals and percent; squares’ and square roots; radicals and quadratic equations. Emphasis will be placed on critical thinking and problem solving. *(Pre-requisites: Algebra I Concepts and Geometry Concepts)*

**PRE-CALCULUS** (1 Credit) (Grades 11 or 12)

This is a math analysis course designed specifically for those students who plan to further their education in the fields of mathematics, science, or engineering; or to pursue a degree in business. The course covers algebraic topics such as operations with polynomials, linear functions and inequalities, quadratic function, rational functions, graphing functions, logarithmic and exponential functions, complex numbers, linear systems, sequences, series, and probability. Trigonometry covers angle functions, identities, graphing applications and polar coordinates. *(Pre-requisite: Algebra II)*

**PRE-CALCULUS HONORS** (1 Credit) (Grades 11 or 12)

This course is designed for students who have demonstrated exceptional ability in Algebra II Honors. It will provide an accelerated and more rigorous treatment of algebraic topics as operations with polynomials, linear functions and inequalities, quadratic function, rational functions, complex numbers, linear systems, sequences, series, and probability. Trigonometry covers angle functions, identities, graphing, applications and polar coordinates. *(Pre-requisites: Honors Algebra II recommended grade of B- or better or Algebra II recommended grade of A, with teacher recommendation)*

**CALCULUS** **HONORS** (1 Credit) (Grade 12)

Students who elect this course need a strong background in algebra, geometry, and trigonometry. The ability to think abstractly is very important. The concepts of the derivative and integral are introduced in this course. Basic rules of integration and differentiation are studied. Graphing calculators are used in class and on homework. *(Pre-requisite: Pre-Calculus)*

**ADVANCED PLACEMENT CALCULUS AB** (1 Credit) (Grade 12)

This course is specifically designed for those students who plan to major in math, science, engineering, or computer science; or to pursue a career in business. This course discusses the concepts of differential and integral calculus. *(Pre-requisite: Pre-Calculus Honors with a grade of B- or higher or Pre-calculus with a grade of an A, or teacher recommendation)*

**ALGEBRA III **(1 Credit) (Grade 12)

Problems in arithmetic, algebra, geometry, modern mathematics, and graphs will be discussed; tests, similar in format and content to the mathematics section of the S.A.T. and Accuplacer test, will be given throughout the course. This course is designed for seniors who will not be majoring in mathematics and science. The course will introduce students to the following: logic, further aspects of algebra, ratio, and proportions, the rectangular coordinate system, probability and statistics. *(Pre-requisite: Algebra II Concepts)*

**STATISTICS** (1 Credit) (Grade 12)

This course is a hands-on study of statistics. It introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Special attention will be on graphical display, hypothesis testing, and probability. This course is recommended for college-bound seniors who intend to major in fields requiring data analysis such as psychology, engineering health sciences, and business. *(Pre-requisite: Algebra II)*

**ADVANCED PLACEMENT STATISTICS** (1 Credit) (Grades 11- 12)

This course is an in-depth study of statistics for the highly motivated students. Its purpose will be to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Attention will be paid to both the application and the theory of statistical topics. Available technology, such as graphing calculators and Excel, will be used throughout the course. *(Pre-requisites: Algebra II Honors with a grade of B- or higher or Algebra II with a grade of an A, or teacher recommendation) *

**SAT PREPARATION – MATH **(½ Credit) (Grade 11-12)

This course prepares students for the Math portion of the SAT exam. Students will apply all facets of the math portion of the SAT exam: number and operations, algebra and functions, geometry and measurement and data analysis, statistics and probability. Students taking this course must plan to take the SAT exam scheduled by the College Board at the end of the course (Winter or Spring).

Students in Calculus class enjoy a game of Calcopoly to prepare for an upcoming test!

The Math Team is for those who enjoy the challenge of math and who would like to compete in the Greater Boston Mathematics League. Members meet to practice. The team consistently scores in the top 5!