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Course Offerings Math 1, CP1 Integrated
Math 1 CP2 Integrated
Math 2 CP2 Integrated
Math 3 CP2 Integrated
Math 4 CP2 Algebra
1 CP1 Algebra
1 CP2 Algebra
1 Part 2 CP2 Geometry
H Geometry
CP1 Geometry
CP2 Algebra
2 H Algebra
2 CP1 Algebra
2 CP2 Advanced
Mathematics H Advanced
Mathematics CP1 Pre-Calculus
CP2 Trigonometry
CP2 SAT
Prep Math H SAT
Prep Math CP1 Creative
Mathematics 1 H Discrete
and Finite Math CP1 Calculus
BC AP Calculus
AB AP Introductory
Calculus CP1 Statistics
1 CP1 Statistics
AP Programming
in C++ H Introduction
to JAVA Programming H Scheme
Programming H Problem
Solving H Problem
Solving CP1 Computer
Science AB AP MCAS
Mathematics Topics in Calculus U |
In today’s society, it is imperative that a fundamental
knowledge of mathematics becomes a part of everyone’s educational
background. It is important for students to realize that their
achievement in mathematics is not based solely on their ability but also
on their persistence and effort. The study of mathematics will help
develop logical thinking and reasoning skills that are crucial in our
daily lives. All students will achieve mathematical competence through a
comprehensive mathematics program that emphasizes the appropriate use of
technology, problem solving, communicating, reasoning and proof, making
connections and using representations.
To this end, students are encouraged to take four years (eight
semesters) of mathematics. In order to comply with the requirements
outlined in the Massachusetts Curriculum Frameworks, CP1 and CP2
students are encouraged to double up in mathematics during their
sophomore year.
The first year of algebra is critical.
It is a pivotal course that requires students to work diligently
on the fundamental concepts of mathematics.
This background will help students achieve success in all
subsequent courses. Another course that our department sees as vital to student
achievement is our Problem Solving course.
It is designed to develop and improve the problem solving
strategies that will be utilized in all subsequent courses as well as on
such standardized tests as the PSAT, SAT and MCAS.
We recommend that this course be taken during a student’s
freshman or sophomore year.
Students will be expected to communicate their knowledge of mathematics
through a variety of assessment tools. Students will be exposed to the
many wonderful connections that exist among the varied disciplines of
mathematics as well as to the real world. Students will then begin to
see and understand the importance, beauty, and power of mathematics.
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207 Integrated Math 1 CP2
1 credit The course will cover material outlined
in the Mathematics Curriculum Frameworks.
Students will use problem solving, communicating, reasoning and
connecting to explore, develop, investigate and comprehend the
“strands” of algebra and functions, geometry and trigonometry,
statistics and probability, and discrete mathematics.
These strands are connected across units by mathematical habits
of mind such as visual thinking, recursive thinking, exploring patterns,
making and checking conjectures, reasoning with multiple representations
and providing convincing arguments.
Particular areas of emphasis include graphical displays of data,
coordinate graphs, linear functions, recursive functions, solving linear
equations and inequalities, vertex-edge graph models, geometry of
two-and three-dimensional objects, exponential functions and simulation
models. (Full year course, open to grade 9) 215 Integrated Math 2 CP2 1 credit This course is a continuation of
Integrated Math 1. Students will use problem solving, communicating,
reasoning and connecting to explore, develop, investigate and comprehend
the “strands” of algebra and functions, geometry and trigonometry,
statistics and probability, and discrete mathematics. These strands are
connected across units by mathematical habits of mind such as visual
thinking, recursive thinking, exploring patterns, making and checking
conjectures, reasoning with multiple representations and providing
convincing arguments. Particular areas of emphasis include matrix models, geometric
transformations, patterns of association, power functions, network
optimization, trigonometry and probability distributions with their
graphs. Recommended: Integrated Math 1 (Full year course, open to grades 10,11) 225 Integrated Math 3 (not offered 2006-2007) CP2
1 credit This course is a continuation of
Integrated Math 2. Students will use problem solving, communicating,
reasoning and connecting to explore, develop, investigate and comprehend
the “strands” of algebra and functions, geometry and trigonometry,
statistics and probability, and discrete mathematics. These strands are
connected across units by mathematical habits of mind such as visual
thinking, recursive thinking, exploring patterns, making and checking
conjectures, reasoning with multiple representations and providing
convincing arguments. Particular areas of emphasis include multiple-variable
models, symbol sense and algebraic reasoning, shapes and geometric
reasoning, patterns in variation, discrete models of changes and
families of functions. Recommended: Integrated Math 2 (Full year course, open to grades 11,12) 227 Integrated Math 4 (not offered 2006-2007) CP2 1 credit This course is a continuation of
Integrated Math 3. Students
will use problem solving, communicating, reasoning and connecting to
explore, develop, investigate and comprehend the “strands” of
algebra and functions, geometry and trigonometry, statistics and
probability, and discrete mathematics. These strands are connected
across units by mathematical habits of mind such as visual thinking,
recursive thinking, exploring patterns, making and checking conjectures,
reasoning with multiple representations and providing convincing
arguments. Particular areas
of emphasis include rate of change, modeling motion, logarithmic
functions, counting models, binominal distributions, polynomial
functions and rational functions. Recommended: Integrated Math 3 (Full year course, open to grade 12) 203 Algebra 1 CP1 1 credit This is a rigorous course in algebra,
which introduces abstract concepts by the use of symbolism in which
quantitative relationships can be stated in general terms.
Emphasis is on the relationships of the real number system.
Manipulation of symbols according to mathematical laws requires a
thorough understanding of fundamentals.
Particular areas of emphasis include factoring, graphing, powers,
functions, and the solution of linear, simultaneous, and quadratic
equations. Related word
problems will be stressed. (Full year course, open to grade 9) 204 Algebra 1 CP2 1 credit The CP-2 Algebra 1 courses emphasize a
conceptual understanding of algebra as a means of representation and of
algebraic methods as a problem-solving tool.
Particular areas include the language of algebra, solution of
open sentences, axioms of the real number system, operations with real
numbers and with polynomials, order in the set of real numbers,
factoring, graphing, relations, functions, irrational numbers, and
quadratic equations. (Full year course, open to grades 9,10) 201 Geometry
H
1 credit This course is for students who have
successfully completed Algebra 1 in the eighth grade. It emphasizes logical arguments in plane geometry, geometric
applications of algebra, solid and coordinate geometry, and an
introduction to trigonometry. It
is the first course for students wishing to enroll in our challenging
course work in mathematics, culminating with calculus in the twelfth
grade. Recommended: Pass Algebra 1 in Grade 8 (85% recommended) (Full year course, open to grade 9) 202 Geometry CP1 1 credit This is the sequential course to Algebra
1 for capable mathematics students preparing for college.
It precedes Algebra 2 and Advanced Math.
The course develops techniques of logical reasoning through the
study of geometric figures. Plane
and solid geometric facts are determined through inductive and deductive
processes, which stress original and creative thinking.
Coordinate geometry and trigonometry are introduced. Recommended: Pass Algebra 1 (80% in CP1 Algebra recommended)
(Full year course, open to grades
9,10,11) In order to comply with the requirements outlined in the
Massachusetts Curriculum Frameworks, 10th grade students
should also be enrolled in Algebra 2. 213 Geometry CP2 1 credit This course includes the study of plane
and spatial geometric figures. Algebraic
applications and coordinate methods are included along with inductive
and deductive reasoning. Topics
include area, similarity, circles, regular polygons, geometric solids,
as well as an introduction to trigonometry. Recommended: Pass Algebra 1 (Full year course is open to grades
10,11,12) In order to comply with the requirements outlined in the
Massachusetts Curriculum Frameworks, 10th grade students
should also be enrolled in Algebra 2. 211 Algebra
2 H
1credit This course provides in-depth
preparation for Advanced Mathematics H.
It continues the study of the properties and structure of the
real number system. The use
of symbolism is emphasized and applied to problem solving.
Stress is placed on the ability to derive formulas and prove
assertions. Irrational and
complex numbers as expansions of our number system, systems of
quadratics, graphs of conic sections, introduction to trigonometry,
sequences, series, and the binomial theorem are included as topics.
Students are required to participate in Mathematics Olympiad
competition, which will be scheduled during the academic day. Recommended: Honors Geometry (85% recommended) (Full year course, open to grade 10) 212 Algebra 2 CP1
1 credit This course continues the study of the
properties and the structure of the real number system.
The use of symbolism is emphasized and applied to problem
solving. Irrational and
complex numbers as expansions of our number system, logarithms,
variation, analytic geometry of the straight line, systems of
quadratics, graphs of the conic sections, introduction to trigonometry,
sequences, series, and the binomial theorem are included as topics. Recommended: Algebra 1 and Geometry (80% in CP1 recommended) (Full year course, open to grades 11,12) 223 Algebra 2 CP2 1 credit The CP-2 Algebra 2 course include topics
such as operations with rational and complex numbers, factoring,
solutions of equations and inequalities, coordinate geometry, relations
and functions, quadratic functions, systems of equations, exponents,
logarithms, and conic sections. Concepts
of problem solving will be introduced.
This course treats the Algebra 2 curriculum in a less rigorous
manner than Algebra 2 CP1. Recommended: Pass Algebra 1 and Geometry (Full year course, open to grades 11 and
12) 221 Advanced Mathematics H 1 credit This is a pre-calculus course for those
students in the junior year that have strong motivation in mathematics.
It is a rigorous treatment of elementary functions with emphasis
on mathematical analysis. Analytical geometry and higher algebra topics such as series
and limits will be included. Students
are required to participate in New England Math League and Math Olympiad
competitions, which will be scheduled during the academic day. Recommended: Algebra 1, Geometry, and Algebra 2 Honors (85% in Honors
recommended) (Full year course, open to grade 11) 222 Advanced Mathematics CP1 1 credit This is a course for students who wish
to acquire a deeper and more expanded knowledge of mathematics.
It will include mathematical analysis based on the algebraic,
trigonometric, and logarithmic functions. Advanced algebra and
introductory probability will be considered. Emphasis will be placed on abstract concepts as well as on
skill in practical applications. Recommended: Algebra 1, Geometry, and Algebra 2 CP1 (80% or higher
recommended in CP1) (Full year course, open to grades 11,12) 234 Pre Calculus CP2 .5 credit This is a first semester course for
seniors, and when taken with Trigonometry (second semester) is similar
to Advanced Math. Its
treatment of pre-calculus topics is not as rigorous as that in Advanced
Math Honors or Advanced Math and will be paced to meet the need of
students fulfilling the prerequisites.
Recommended: Algebra 1, Geometry, and
Algebra 2 CP2 (80% or
higher recommended in CP2) (Semester course, open to grade 12) 236 Trigonometry CP2 .5 credit This second semester course in
trigonometry includes the definition of the six fundamental
trigonometric functions, simplification of trigonometric expressions,
angle formulas, identities, equations, graphs, and application problems. Recommended: Algebra 2 and Pre-Calculus (Semester course, open to grade 12) 252 SAT
Prep Mathematics H
.5 credit 253 SAT Prep Mathematics CP1 .5 credit This first semester course will focus on
preparing students for the College Board’s SAT 1 examination in
Mathematics. If students
are planning on taking the exam in January, April or May, they should
enroll in this course during the first semester.
If students are planning on taking the exam in October, November,
December or June, they should enroll in this course during the second
semester. Students will
have the opportunity to take several full-length practice SAT tests.
Hints, test taking strategies and exercises for improving test
scores will be addressed. 244 Creative Math 1 H .5 credit This course covers the techniques and
strategies of both problem solving and problem posing.
Following this process students will begin open-ended
investigations dealing mainly with geometry, elementary number theory,
sequences and series, and other topics from high school mathematics.
Emphasis will be on originality, creativity, and the discovery of
patterns and relations. In
addition, there will be discussion on the nature of mathematics, its
relationship to the physical and social sciences, and the role that
induction, deduction, and the human imagination play in its growth. Recommended:
Honors Geometry and Honors Algebra 2 and the ability to work
independently (Semester course, open to grades
10,11,12) 246 Discrete and Finite Math CP1 .5 credit This course is designed for the student
whose freshman college course will not be calculus, but will include
topics from finite and discrete mathematics.
Students planning to major in business, computers, or liberal
arts should take this course. Topics
include sets, logic, combinatorics, probability, matrices, determinants,
and linear programming. Recommended: Pass Algebra 2 (Semester course, open to grades 11,12) 231 Calculus BC AP 1 credit This course follows the Advanced
Placement BC syllabus of the College Board.
This is a college level course, which is offered to qualified
students to prepare for the Advanced Placement Examination (Level BC) in
calculus. It will give
substantial training in differential and integral calculus and related
analytic geometry. As a
college level course, the teaching and assignments will be of college
depth and length. Students are required to participate in the New England Math
League and Math Olympiad competitions that will be scheduled during the
academic day. Recommended: Honors Advanced Mathematics (85%) (Full year course, open to grade 12) 232 Calculus AB AP 1 credit This course follows the Advanced
Placement (Level AB) syllabus of the College Board. Included in the course are the study of elementary functions,
limit theory, and the methods of differential and integral calculus
together with applications. Students
are required to participate in the New England Math League and Math
Olympiad competitions that will be scheduled during the academic day. Recommended: Honors Advanced Mathematics (75%) or Advanced Mathematics
(85%) (Full year course, open to grade 12) 233 Introductory
Calculus CP1
1 credit This course in the accelerated series
provides an introduction to calculus.
It is intended to prepare students for more rigorous college
calculus courses. The
review of some aspects of pre-calculus is included.
Course topics also include analytic geometry, elementary
functions, limit theory, and methods of differential and integral
calculus with applications. Recommended: Advanced Mathematics (Full year course is open to grade 12) 247 Statistics 1 CP1 .5 credit This is a basic course in statistics,
which introduces the student to the art of collecting and analyzing data
and making inferences from the data.
Most students will take statistics in college, and this is an
excellent introduction to statistics.
Topics from probability will also be included. Recommended: Algebra 2 or concurrently taking Algebra 2 (Semester course, open to grades 11,12) 238 Statistics
AP
1 credit Advanced Placement Statistics acquaints
students with the major concepts and tools for collecting, analyzing and
drawing conclusions from data. Students
will frequently work on projects involving hands-on gathering and
analysis of real world data. Ideas
and computations presented in this course have immediate links and
connections with actual events. Computers
and calculators will allow students to focus deeply on the concepts
involved in statistics. This
course prepares students for the Advanced Placement examination in
Statistics. Students are required to participate in the New England Math
League and Math Olympiad competitions that will be scheduled during the
academic day. Recommended: Algebra 2 Honors (85%) (Full year course, open to grades 11,12) 243 Programming in C++ H 1 credit 239 Programming in C++ CP1 1 credit Programming in C++ is for the new
computer student. Concepts
and theory will start from the very beginning and build to the more
complicated structures for which this language is noted.
Top-down design (planning the solution of a problem in detailed
steps before putting it into computer code) will be stressed.
Problems used will be taken from a wide background including
math, business, and other areas. During the second semester, topics
covered will include such advanced programming topics as classes,
inheritance and pointers. Due
to the difficulty of some of these topics, only students who are serious
about computer programming should consider taking this course. Because CP1 students will not complete
such topics as inheritance and pointers, they will not be prepared to
take our AP Computer Science course. (Full year course, open to grades
9,10,11,12) 240 Introduction
to JAVA Programming H
1 credit This course is for those students who
have successfully completed at least one semester of C++ programming and
who want to learn something about one of the most useful and powerful
computer languages. The
student is introduced to JAVA programming techniques and shown how they
are similar to and yet very different from those used to program in C++.
In particular, the student will learn how to use libraries to
build larger programs that are very powerful.
This is a challenging course, and only those students who are
serious about computer programming should consider taking it. Second semester, topics covered will include arrays,
searching and sorting. Recommended: Computer Programming in C++ (85%) (Full year course, open to grades
10,11,12) 226 Scheme Programming H .5 credit Computer programming is both a skill and
an art. This course focuses
on developing in the student an appreciation of the art of creating
beautiful computer programs. Such
programs are concise in their expression, general in their application,
and easily understood. The
language used for this course is Scheme, a simple yet powerful Lisp
dialect. The course will concentrate on using the unique features of
this language to teach students how to design and build good programs. Recommended: At least one semester of a programming language (Semester course, open to grades
10,11,12) 262 Problem Solving H .5 credit 263 Problem Solving CP1 .5 credit This course is designed to develop and
improve the problem solving strategies that are utilized in educational
course work and also in the world of work.
Students will learn how to work cooperatively in groups.
They will develop communication skills.
They will learn problem solving techniques such as diagrams,
systematic lists, eliminating possibilities, matrix logic, pattern
searches, guess and check, sub-problems, solving an easier related
problem, physical representations, working backwards, Venn diagrams,
using algebra, and finite differences.
This course does not require any previous mathematics background
beyond Algebra 1 and should not be thought of as a “math” course. It is a thinking improvement course. PSAT, SAT and MCAS test scores should improve as a result of
this course. Students who
fail the math portion of the 8th grade MCAS will be
encouraged to take this course during their sophomore year. Students will be given the opportunity
to take this course at Honors or CP1 level.
Students will sign a contract at the beginning of the semester to
designate the level at which they will be taking the course.
Modifications will be made with regard to students’ workload on
problem sets to distinguish between the two levels. (Semester course, open to grades 9-12) 241 Computer Science AB AP .5 credit This is a one-semester course for
students who have completed one year of C++.
The course covers remaining topics needed for the Advanced
Placement AB Examination in Computer Science.
These include recursion, linked lists (single, double and
circular), binary trees and the AP classes:
vector, matrix, string, stack and queue.
The AP case study will also be examined.
Additional topics as time allows are Boolean Algebra, hashing,
prefix, infix and post fix notations, quadratic sorts, big 0 notation,
worst case and average case time, worst case and average case space,
approximation methods and Monte Carlo methods.
Due to a very demanding curriculum, this is a course only for
students who are serious about programming. Recommended: C++ (Semester course, open to grades 11,12) 251 Topics in Calculus U .5 credit This course is designed to be taken in
conjunction with any of our Calculus courses.
Students will be offered an opportunity to review many of the
major concepts that are presented in our Calculus curriculum for the
purpose of remediation and/or reinforcement.
Topics that will be discussed will include: limits and continuity, derivatives, applications for
derivatives, integration, applications of definite integrals,
transcendental functions, and infinite sequences and series.
It is our belief that students gain most in the study of
mathematics by being involved with it.
Toward this end, students will be given many opportunities to
work in a cooperative learning environment to solve and then present
their solutions to a variety of open response problems.
The course is designed for students who feel that additional
practice would be beneficial to their understanding of the Calculus
curriculum. Required:
Enrollment in AP Calculus BC, AP Calculus AB, or Introduction to
Calculus (Full year course, open to grade 12.
Course will meet twice during a seven-day cycle) 991 MCAS Mathematics 1 credit This course helps prepare students for
the MCAS, an exam all students must pass to graduate. The course, which is funded through a Department of Education
grant, aims to assist those students who have not yet passed or are in
danger of not passing the MCAS. Students
will be exposed to the five major strands of the Massachusetts
Curriculum Frameworks in Mathematics
(Number Sense and Operations; Patterns, Relations and Algebra;
Geometry; Measurement; and Data Analysis, Statistics and Probability.)
Students will achieve mathematics competence in these strands
through a program that emphasizes problem solving, communicating,
reasoning and proof, making connections and using representations.
Because the course is available through a grant from the
Department of Education and space is limited, the grade administrator
determines enrollment eligibility. This course does not count towards fulfilling the
three-year Mathematics requirement. |