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Mathematics

 

 

The infinity symbol represents the major goal of the math curriculum at AC – to create confident, life-long learners.  On one level, the curriculum is designed to prepare students for the SAT and ACT, to gain acceptance to college, and to succeed in their college classes and beyond.  On a deeper level, the math curriculum develops broad analytical skills that can be applied to problem solving beyond the math classroom.  The strict logic involved in a geometric proof can help a student develop a coherent argument in any field such as law, business, science, or higher mathematics.  In fact, the training of the mind to master deep mathematical concepts develops the skills to “learn how to learn.”  These same skills will help students succeed in professions that require assimilating new and complex ideas, such as a programming language, challenging concepts in science, business, or in any field.  The big goal is to help students become life-long learners, to have the flexibility to choose and change careers, and not to be limited in that growth by lack of skills in fundamental math and problem solving.

AC's Math Department is pleased to offer STEM courses in AP Computer Science A, Honors Robotics, and other Technology courses as well as a Robotics Team that competes in annual competitions.

Typical Math Tracks

9th grade: Algebra 1 or Honors Algebra 1
10th grade: Geometry or Honors Geometry
11th grade: Algebra 2
12th grade: PreCalculus

9th grade: Honors Algebra 1 (Placement based on Math Placement Test)
10th grade: Honors Geometry
11th grade: Honors Algebra 2
12th grade: Honors PreCalculus or Honors Calculus*
* Some students choose to complete Precalculus in summer school to qualify for Honors Calculus as seniors

9th grade: Advanced Geometry (Placement based on Math Placement Test)
10th grade: Advanced Algebra 2
11th grade: Advanced Precalculus
12th grade: AP AB Calculus or AP BC Calculus

Faculty

James Hyland - Mathematics Department Chair, jhyland@achs.net
BA Psychology, University of Notre Dame
MA English, University of Iowa
MS Computer Engineering, Boston University
 
Rose Benedetti '03, rbenedetti@achs.net
BA Justice Studies and Sociology, University of New Hampshire
MEd Mathematics, Cambridge College (in progress)
 
Maria Davey, rdavey@achs.net
BS- Mathematics, Davidson College
MEd- Mathematics Education, Northeastern University
 
Michelle Maffeo, mmaffeo@achs.net
​BS- Mathematics, Salem State University
 
Anne Meinke, ameinke@achs.net
BS Computer Science, University of Cincinnati
MA Mathematics for Teachers, Harvard University
 
Victoria Rozzi, vrozzi@achs.net
BA Mathematics, Salem State University
MS Mathematics, Salem State University 
 
 
Martin Vazquez, mvazquez@achs.net
BS Bio-Psychology, Vassar College
MDE Master's Distance Education, University of Maryland
 

Course Offerings

All students are required to take Algebra 1, Geometry, and Algebra 2.  Any version of the TI-84 or TI-84 Plus graphing calculator is required in all math classes.


Please Note: A grade of B- is required to remain in Advanced or Honors Math courses. A year end grade of A- and Departmental Approval are both required to move from an Honors level course to an Advanced level course; as well as move from a College-Prep level to an Honors level course.

Algebra 1

ALGEBRA 1 - 211
1 Credit

Algebra 1 is designed to give the students a solid foundation in basic algebraic concepts and skills which include sets, structure of number systems, equalities and the coordinate plane. Highlighting some of the key areas of introductory geometry and basic logical reasoning, provides students the underlying groundwork for future mathematics courses.

 Grade: 9

Honors Algebra 1

HONORS ALGEBRA 1 – 210

1 Credit

The course is designed for the student well prepared by fundamental pre-algebra. Moving at a rapid pace, students are challenged by a highly competitive atmosphere. Students discover and develop algebraic concepts and skills by relating their knowledge of numbers to the variable. Topics include the language of sets, linear equalities, and inequalities, quadratic equations, linear systems, and functions. Numerous word problems provide practical application of the concepts being developed.

 Grade: 9

Advanced Geometry

ADVANCED  GEOMETRY 

1 Credit

This course is designed for highly motivated students with exceptional math skills and a strong background in Algebra.  The course integrates Algebra concepts in the study of Geometry.  The work centers around two basic understandings: the development of geometrical principles on a plane, and the nature of mathematical proofs. These two objectives are met by starting with undefined terms, such as point, line and plane, and then proceeding through the axioms and postulates to the theorems. In this approach, concepts are important as they relate to one another.  The course concludes with the study of Area and Volume.  In Advanced Geometry the subject matter is studied in greater depth, with more difficult proofs, than in the Honors Geometry course.

Grade: 9

Geometry

GEOMETRY – 221

1 Credit

Basic concepts of Geometry which include point, line, and plane are discussed; various axioms, postulates and theorems contributing to the understanding of proofs are studied. The reinforcement of algebraic concepts helps to foster an understanding of mathematical reasoning and to illustrate the interrelation between Geometry and Algebra. Basic trigonometric ratios are also explored.

 Grade: 10

Honors Geometry

HONORS GEOMETRY – 220

1 Credit

The work centers around two basic understandings: the development of geometrical principles on a plane, and the nature of mathematical proofs. These two objectives are met by starting with undefined terms, such as point, line and plane, and then proceeding through the axioms and postulates to the theorems. In this approach, concepts are important as they relate to one another. In Honors Geometry the subject matter is studied in greater depth than in the college-prep course.

Grade 10

Advanced Algebra 2 & Trigonometry

ADV. ALGEBRA 2 & TRIGONOMETRY

1 Credit

This course is designed for highly motivated students with exceptional math skills and a strong background in Algebra and Geometry.  Topics covered will include linear and quadratic functions, matrices, complex numbers, exponential and logarithmic functions, analytic geometry and an introduction to trigonometry. These topics are covered at a necessary depth to progress to Advanced Precalculus as a junior and AP Calculus as a senior.

 Grades: 9, 10

Algebra 2

ALGEBRA 2 – 231

1 Credit

This course consists of a detailed development of algebraic theory in the rational, real, and complex number systems. The subject matter deals with the study of relations, their properties and graphs with attention to the polynomial, logarithmic, and exponential functions. This course is a strong foundation for all higher mathematics courses.

 Grade: 11

Honors Algebra 2 & Trigonometry

HONORS ALGEBRA 2 & TRIGONOMETRY– 230

1 Credit

This is an intensive course in Algebraic skills which goes into greater depth and at a more accelerated pace than Algebra 2.  Topics covered will include linear and quadratic functions, matrices, complex numbers, exponential and logarithmic functions, analytic geometry and an introduction to trigonometry. These topics are necessary for the study of Pre-Calculus and Calculus.

 Grade: 11

Pre-Calculus

PRE-CALCULUS – 241

1 Credit

This course will prepare students for the next level mathematics course they would take in college. Topics include: coordinate geometry, polynomials, inequalities, functions, exponentials and logarithms.  Time permitting, trigonometry would also be covered.  The content taught in this course applies algebraic processes to analyze data and graphs.

Grades: 11, 12

 

Honors Pre-Calculus

HONORS PRE-CALCULUS – 242

1 Credit

This course is intended for the above average math students. The same topics studied in Pre-Calculus are studied in this course, but at an accelerated pace. More emphasis is placed on the theory and use of the graphing calculator.

 Grades: 11, 12

Advanced Pre-Calculus

ADVANCED PRE-CALCULUS – 244

1 Credit

This course is intended for the advanced math student. The Pre-Calculus topics will be discussed at an advanced level and accelerated pace, with more emphasis on trigonometry. This course prepares students for the AP Calculus course.

 Grades: 10, 11

Honors Calculus

HONORS CALCULUS - 245

1 Credit

This course will prepare students for further study of mathematics in college.  Topics covered will include a review of algebra, functions and graphs, derivatives, applications of the derivatives, exponential and logarithmic functions, integration, and applications of integration.  Students must have successfully completed one full year of Honors Pre-Calculus.

 Grades: 11, 12

AP AB Calculus

ADVANCED PLACEMENT CALCULUS AB – 240

1 Credit
 

Advanced Placement Calculus is a college- level course which includes differential and integral calculus, and their applications. This course is intended for those students who are planning careers in engineering, mathematics, or computer science, and prepares students to earn college credit by taking the Advanced Placement exam. Any student wishing to take this course must have successfully completed one full year of Advanced Pre-Calculus and be recommended by the Advanced Pre-Calculus teacher. The student is required to take the Advanced Placement Calculus AB Exam.

 

Grades: 11, 12

AP BC Calculus

ADVANCED PLACEMENT CALCULUS BC- 250

1 Credit

Advanced Placement Calculus BC is a college-level course which includes differential and integral calculus, infinite sequences and series, polar functions, and applications of these topics. This course is intended for those students who are planning careers in engineering, mathematics, or computer science; and prepares students to earn college credit by taking the Advanced Placement BC exam. Any student wishing to take this course must have successfully completed one full year of Advanced Placement Calculus AB and be recommended by the AP Calculus AB teacher.  The student is required to take the Advanced Placement Calculus BC Exam.

 

Grade: 12

Entrepreneurship & Marketing

ENTREPRENEURSHIP & MARKETING

1 Credit

This course will encourage students to explore all aspects of business, from recognizing opportunities to planning for successful futures. The major emphasis is on developing a start-up business and by the end of the course, pitching the plan. Topics will include: the entrepreneurial mindset, developing opportunities, business organization, marketing strategies, accounting, inventory management and essential financial statements. Students will develop a business plan and present in a “Shark Tank” environment to potential “investors.” Guest speakers, group projects and various simulations will be used to provide students with a thorough understanding of all aspects of running a business.

 Grades: 11, 12

AP Computer Science A

AP COMPUTER SCIENCE A

This course covers topics typically found in a college-level first course in computer science, and provides a solid preparation for the College Board’s Advanced Placement Computer Science A examination. The course introduces students to computer science with fundamental topics that include problem solving, design strategies and methodologies, organization of data (data structures), approaches to processing data (algorithms), analysis of potential solutions, and the ethical and social implications of computing. This course is designed for students with knowledge of basic English and algebra and having intermediate to advanced PC skills. Students should be comfortable with functions and the concepts found in the uses of functional notation, such as f(x) = x + 2. Emphasis will be placed on the study of Java syntax, object-oriented programming, problem solving, and algorithmic development.


Grades: 11, 12

Computer Applications

COMPUTER APPLICATIONS  – 251

1 Credit

This laboratory class is designed to develop an understanding of and literacy about computers and digital technology. In addition to using print and electronic textbooks, the Internet is integrated throughout both semesters of this split topic course. During the first semester, students develop expertise in the use of the Microsoft Office Suite, covering advanced Word topics, Excel spreadsheets, and Access databases. In the second semester, students explore desktop publishing and graphic design.  Beginning with advanced topics in Microsoft PowerPoint and then moving on to Adobe In Design for advanced page layout, the course covers aspects of the design and production of communication products. The course also covers electronic publishing including producing Adobe PDF documents and basic web pages.

Grades: 9, 10, 11, 12

Web Design

WEB DESIGN – 257
1 Credit

In this course on developing content for the Internet, students learn to create dynamic and i

Students learn to create dynamic and interactive web sites.  In the first semester, students learn to write HTML and CSS code while using Adobe Dreamweaver to create web pages. Effective graphics are a big part of programming for the web, and students also learn to use Adobe Photoshop to manipulate graphics files. In the second semester, students learn to use JavaScript to make their web pages more interactive and responsive to the user.  To provide an authentic web developer experience, students are given access to a domain and publish their own web site to the World Wide Web. Students also explore audio and video helper applications to add multimedia components to their projects. Finally, students use Adobe Flash to create interactive video components to add to their web pages.

 Grades: 10, 11, 12

Computer Programming

COMPUTER PROGRAMMING  – 253

1 Credit

This course provides a foundation in computer programming using the Java language. Students will gain an understanding of object-oriented programming including data encapsulation and polymorphism. Topics include: data representation; writing classes; using decision and looping structures; manipulating arrays; and learning the basics of Swing graphics.  Completion of this course will place the student in a strong position to excel in an advanced Computer Science course.

Grades: 10, 11, 12

Honors Robotics

Honors Robotics - 

1 Credit 

Description

This is a STEM-related (science, technology, engineering, and mathematics) course that will be challenging but great fun! This course will be a standard length ACHS course earning honors credit, structured as a hands-on, laboratory-style class in which we will be designing, building, and programming autonomous robots. We have a sophisticated collection of robotics parts to use gathered from our recent participation in the New England Regional Botball Competition (http://www.botball.org/ ).  In fact, the culmination of the course will be participating in the Botball competition held annually at UMass, Lowell. Our robots will be programmed using a modified C language which contains an extensive library of special functions to control motors, sensors, and even webcams!


Grades: 11, 12