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Program of Studies - Math

Mathematics courses are offered in four levels that are based upon performance in previous math courses and external assessments:
Level 1 - students who have demonstrated superior mathematical performance (Advanced)
Level 2 - students who have demonstrated high mathematical performance (Honors)
Level 3A- students who have demonstrated average mathematical performance (College Preparatory A)
Level 3B- students who have struggled with math previously (College Preparatory B)
Students enrolled in Advanced Placement Courses are expected to take the Advanced Placement Examination for that course. These courses are: 412 Advanced Placement Statistics with an Introduction to Calculus; 413 Advanced Placement Calculus BC; 414 Advanced Placement Calculus AB
NOTE: All math courses require an approved graphing calculator.
Students seeking to enroll in a course, but who have not met the grade prerequisite, must get the approval of their current math teacher and the approval of the Director of Mathematics.

ADVANCED HONORS/ADVANCED PLACEMENT

(Level 1)
ADVANCED HONORS GEOMETRY
Level 1 410 5 credits
Students will take a full year Geometry aligned to the Common Core standards. The course will do an in-depth study of the field of Euclidean geometry with topics such as number and quantity, congruence, similarity, right triangles, and trigonometry, circles, expressing geometric properties with equations, geometric measurement and dimension, modeling with geometry, and statistics and probability. This course has a required summer assignment reviewing Algebra I.
Prerequisite: Students are placed in the course based on Grade 8 performance, teacher grades and external assessments.

ADVANCED HONORS ALGEBRA 1 & 2
Level 1 411 5 credits
Students will take a full year Algebra 1 and 2 aligned to the Common Core standards. The course will do an in-depth study of number and quantity, seeing structure in expressions, arithmetic with polynomials and rational expressions, creating equations, reasoning with equations and inequalities, functions, and statistics and probability.
Prerequisite: Students enrolling in this course must have achieved a grade of at least a B- in Advanced Honors Geometry 410.

ADVANCED PLACEMENT STATISTICS
Level 1 415 5 credits
This course includes all topics included in the Advanced Placement course description for Statistics. Topics focus on the four major pillars of Statistics: Data Exploration, Data Collection, Probability, and Inference. Topics include organizing data, processing data, the laws of probability, and inference testing. Emphasis is on combining mathematical problem solving with written analysis of work. This course has a required summer assignment. Students will take the Advance Placement Exam in May
Prerequisite: Students enrolling in this course must have achieved a grade of at least an A- in Advanced Grade 8 math or B+ in 410 Adv. Hon. Geom or B- in Advanced Honors Algebra 1 & 2 (411) or Advanced Honors Algebra 2/Pre-Calculus (412) or an A- in Honors Pre-Calculus (422). This course is open to students in grade 9 & 10 based upon teacher recommendation. This course also requires much more reading and writing than most math courses. Students should be securing honors grades in Level 1 or 2 English.

ADVANCED PLACEMENT COMPUTER SCIENCE A
Level 1 416 5 credits
Advanced Placement Computer Science A is an introduction to computer science. The course includes all topics included in the Advanced Placement course description for Computer Science A. The course emphasizes object-oriented programming methodology with a concentration on problem solving and algorithm development and is meant to be the equivalent of a first-semester college-level course in computer science. It also includes the study of data structures, design and abstraction. Students will take the Advanced Placement exam in May.
Prerequisite: Students enrolling in this course must have achieved a grade of at least an A- in Advanced Grade 8 math or B+ in 410 Adv Hon Geom or B- in Advanced Honors Algebra I & 2(411) or Advanced Honors Algebra 2/Pre-Calculus (412) or a A- in Honors Pre-Calculus (422). This course is open to students in grade 9 & 10 based upon teacher recommendation. This course also requires much more reading and writing than most math courses. Students should be securing honors grades in level 1 or 2 English.

ADVANCED HONORS ALGEBRA 2/PRE-CALCULUS
Level 1 412 5 credits
Students will learn Pre-Calculus as defined by the Massachusetts Mathematics Curriculum Framework. They will study the complex number system as well as vector and matrix quantities. They will become proficient with arithmetic with polynomials and rational expressions and interpreting functions. There is also a heavy component on trigonometric functions including applying trigonometry to general triangles. Prerequisite: Students enrolling in this course must have achieved a grade of B- or better in Advanced Honors Algebra 1 & 2 (411) OR an A- in Honors Algebra 1& 2 (421)

ADVANCED PLACEMENT CALCULUS BC
Level 1 413 5 credits
This course discusses all of the topics listed by the College Board in the AP Calculus BC course description, including a thorough investigation of derivatives and integrals as well as of infinite sequences and series. Students enrolled in this course will be required to take the AP Calculus BC exam in May. This course has a required summer assignment.
Prerequisite: Students enrolling in this course must have achieved a grade of at least an A- in Advanced Honors Pre-Calculus (412).

ADVANCED PLACEMENT CALCULUS AB
Level 1 414 5 credits
This course discusses all of the topics listed by the College Board in the AP Calculus AB course description including a thorough investigation of limits, followed by the techniques and applications of derivatives and integrals. Students enrolled in this course will be required to take the AP Calculus AB exam in May. This course has a required summer assignment.
Prerequisite: Students enrolling in this course must have achieved a grade of at least a B- in Advanced Honors Pre-Calculus (412) OR at least an A in Honors Pre-Calculus (422).

HONORS (Level 2)

HONORS GEOMETRY
Level 2 420 5 credits
Students will take a full year Geometry aligned to the Common Core standards. The course will cover the field of Euclidean geometry number and quantity, congruence, similarity, right triangles, and trigonometry, circles, expressing geometric properties with equations, geometric measurement and dimension, modeling with geometry, and statistics and probability. This course has a required summer assignment reviewing Algebra I.
Pre-requisite: Students are placed in the course based on Grade 8 performance, teacher grades and external assessments.

HONORS ALGEBRA 1 & 2
Level 2 421 5 credits
Students will take a full year Algebra 1 & 2 aligned to the Common Core standards. The course will cover the topics of number and quantity, seeing structure in expressions, arithmetic with polynomials and rational expressions, creating equations, reasoning with equations and inequalities, functions, and statistics and probability.
Pre-requisite: Students enrolling in this course must have achieved a grade of at least a C- in Honors Geometry (420).

HONORS ALGEBRA 2/PRE-CALCULUS
Level 2 422 5 credits
This course begins with a completion of Algebra 2 topics as defined by the Massachusetts Mathematics Curriculum Framework. Students will lean the Pre-Calculus in the Massachusetts Mathematics Curriculum Framework. They will study the complex number system as well as vector and matrix quantities. They will become proficient with arithmetic with polynomials and rational expressions and interpreting functions. They will also study trigonometric functions including applying trigonometry to general triangles. Prerequisite: Students enrolling in this course must have achieved a grade of B- or better in Advanced Honors Algebra 1 & 2 (411) OR an A- in Honors Algebra 1& 2 (421)
Prerequisite: Students enrolling in this course must have achieved a grade of at least C- in Honors Algebra 1 & 2 (421) or an A- in College Algebra 2 (434)

HONORS CALCULUS
Level 2 423 5 credits
Honors Calculus begins with a review of Pre-Calculus topics which include analysis of rational, algebraic, trigonometric, exponential functions and an investigation of limits. This is then followed by an introduction to the study of differentiation and integration of those functions. This course also introduces their application to related rates, optimization, area and volume of surfaces of revolution, differential equations and other topics. This course has a required summer assignment.
Prerequisite: Students enrolling in this course must have achieved a C- or higher in Honors Pre-Calculus (422). Students who have taken College Pre-Calculus (436) require teacher permission and should have grades of A- or higher.

HONORS STATISTICS
Level 2 424 5 credits
This level 2 statistics course guides students through the four major components of an introductory college level course: Examining Data, Producing Data, Anticipating patterns (i.e. Probability), and Statistics Inference. Students will contribute to lectures and discussions, work independently in school and at home, collaborate in small groups, participate in activities, and engage in the use of technology. Student resources include a primary textbook, supplemental handouts, use of the internet and a TI-83 or TI-84 graphing calculator. Students are continually recalling and connecting past information to develop a complete understanding of the statistical approach to data collection and analysis.
Prerequisite: Students enrolling in this course must have achieved a grade of at least a C- in Honors Algebra 2 (421) OR B+ in College Algebra 2 (434). This course also requires much more reading and writing than most math courses. Students should be securing honors grades in level 1 or 2 in English.

HONORS COMPUTER SCIENCE PRINCIPLES
Level 2 426 5 credits
This course is modeled on the AP course AP Computer Science Principles, which may be offered at BHS in 2016-2017. This course does not carry any AP credit in 2015-2016. The course introduces the central idea of computer science as well as how computers are changing the world. Students develop computational artifacts while using simulations to explore central questions. The course involves analyzing data and communicating collaboratively about the findings.
Pre-requisite: Students enrolling in this class should meet level 1 or level 2 Math and English (writing) pre-requisites

Please Note: Honors Computer Science Principles 426 contains a broader scope of the computer sciences than AP Computer Science 416. Honors Computer Science Principles 426 also has a less technical yet still rigorous approach towards programming than AP Computer Science 416


COLLEGE PREPARATORY (Level 3A)

COLLEGE GEOMETRY
Level 3A 430 5 credits
Students will take a full year Geometry aligned to the Common Core standards. The course will do an in-depth study of the essential standards for the field of Euclidean Geometry, including number and quantity, congruence, similarity, right triangles, and trigonometry, circles, expressing geometric properties with equations, geometric measurement and dimension, modeling with geometry, and statistics and probability.
Pre-requisite: Students are placed in the course based on Grade 8 performance, teacher grades and external assessments.

COLLEGE ALGEBRA 1 & 2
Level 3 432 5 credits
This course is the study of Algebra 1 as outlined in the Massachusetts Mathematics Curriculum Framework. It begins with the real number system extended to exponents and irrationals. Students will then learn to interpret the structure of algebraic expressions, create equations, and reason with both equations and inequalities. The course will then examine the interpretation of functions and building functions (linear, quadratic and exponential). The course also has a statistics and probability component.
Prerequisite: Students enrolling in this course must have successfully completed College Geometry (430) OR teacher permission for a student in Algebra 1(431).

COLLEGE ALGEBRA 2
Level 3 434 5 credits
This is a review of Algebra 1 and continues through quadratics, functions and graphs, right-triangle trigonometry, and rational functions. Word problems are included in the study of this course. Formulas will be used in developing algebraic skills and in establishing applications of the algebraic method.
Prerequisite: Students enrolling in this course must have passed a Geometry course and have a firm grasp of Algebra 1. This can occur by passing College Geometry (432) and receiving a C- or better in College Algebra 1 (430)/Continuation of Algebra 1 (439). Students who have taken Geometry (433) and Algebra 1 (431) require teacher permission.

COLLEGE PRE-CALCULUS
Level 3 436 5 credits
This full year pre-calculus course begins with a review of topics from Algebra 2, including quadratic and cubic functions. The course then examines the characteristics of rational, radical, exponential, logarithmic, and trigonometric functions, with an emphasis on investigating their domain, range and intercepts. This investigation will be enhanced by the use of a graphing calculator, which is required for this course.
Prerequisite: Students enrolling in this course must have achieved at least a grade of C- in College Algebra 2 (434).

INTRODUCTION TO COLLEGE MATHEMATICS
Level 3 438 5 credits
This is an online computer hybrid course. It has an online component as well as a classroom component. The course is designed to prepare students for a rigorous math course in college. The course includes: trigonometry, limits, statistics, and financial decision making.
Pre-requisite: Students enrolling in this course must have passed a Algebra II course.

FUNDAMENTAL COLLEGE PREPARATORY (Level 3B)

GEOMETRY
Level 3B 431 5 credits
Students in this course take a full year Geometry aligned to the Common Core standards. The course covers the essential standards of the field of Euclidean geometry including number and quantity, congruence, similarity, right triangles, and trigonometry, circles, expressing geometric properties with equations, geometric measurement and dimension, modeling with geometry and statistics and probability.
Pre-requisites: Students are placed in the course based on Grade 8 performance, teacher grades and external assessments.

ALGEBRA 1
Level 3 433 5 credits
This course covers the essential Algebra 1 standards in the Massachusetts Mathematics Curriculum Framework. It begins with the real number system extended to exponents and irrationals. Students will then learn to interpret the structure of algebraic expressions, create equations, and reason with both equations and inequalities. The course will then examine the interpretation of functions and building functions (linear, quadratic and exponential). The course also has a statistics and probability component.
Prerequisite: Students enrolling in this course must have passed Geometry (431)

ALGEBRA 2
Level 3 435 5 credits
This course begins as a review of Algebra I and continues through quadratic and rational functions. Focus is placed on being able to describe the different characteristics of functions (such as intercepts, domain, and range) using both an algebraic and geometric approach.
Prerequisite: Students enrolling in this course must have passed Geometry (433) OR have a D+ or lower in Continuation of Algebra 1 (439).


APPLICATIONS OF ALGEBRA
Level 3 437 5 credits
This course takes concepts from Algebra 1 and Algebra 2, including linear regression, piecewise and exponential functions, exponential growth and decay, and statistical analysis, and applies them to real-world problems that students can connect to, such as paying taxes, buying a car, securing a line of credit, and modeling a business.
Pre-requisite: Students enrolling in this course must have passed Algebra 2 (435) OR have a D+ or lower in College Algebra 2