 North Middlesex Regional HS
 Mathematics Core
NMRHS Course Offerings

ADVANCED PLACEMENT CALCULUS AB
AP® Course #: MA371
5 Credit Full Year Course
Recommended for grade 12Advanced Placement Courses provide an opportunity for students to experience a college course while still in high school. AP courses follow a syllabus that has been approved by the College Board, and teachers must receive specialized training to teach the courses. Although it is not required, it is expected that students who take AP courses will also register for the national AP exam at their own expense. This course is a collegelevel course in calculus for grade 11 and 12 students with strong skills in mathematics and an above average achievement level who plan to pursue a course study in mathematics, physics or engineering at a fouryear college. It is recommended that students feel confident with previous math classes, and a graphing calculator. This course will cover limits, differential and integral calculus and their applications. A graphing calculator is required (TI84+ is strongly recommended).

ADVANCED PLACEMENT CALCULUS BC
AP® Course #: MA373
5 Credit Full Year Course
Recommended for grade 12Advanced Placement Courses provide an opportunity for students to experience a college course while still in high school. AP courses follow a syllabus that has been approved by the College Board, and teachers must receive specialized training to teach the courses. Although it is not required, it is expected that students who take AP courses will also register for the national AP exam at their own expense. This course is a collegelevel course in calculus for grade 12 students with strong skills in mathematics and an above average achievement level who plan to pursue a course study in mathematics, physics or engineering at a fouryear college. This course will cover limits, differential and integral calculus and their applications. Additionally, students will learn series, sequences, parametric equations and advanced integration techniques. A graphing calculator is required (TI84+ is strongly recommended).

ADVANCED PLACEMENT PROBABILITY AND STATISTICS
AP® Course #: MA375
5 Credit Full Year Course
Recommended for grade 12Advanced Placement Courses provide an opportunity for students to experience a college course while still in high school. AP courses follow a syllabus that has been approved by the College Board, and teachers must receive specialized training to teach the courses. Although it is not required, it is expected that students who take AP courses will also register for the national AP exam at their own expense. The course is equivalent to a collegelevel statistics class. Students who successfully complete this course are prepared to take the AP Statistics exam and have the ability to earn college credit and advanced standing by passing the exam. This course for students in grade 12 is about the collection, display, summarization, analysis, interpretation of data, and concepts from the mathematic disciplines of probability and statistics. The probability portion will include such topics as the basic rules of counting, permutations, combinations, discrete distributions (binomial, Poisson, geometric), and continuous distributions (normal, tdistribution, chisquare, Fdistribution). The statistics portion topics consist of sampling, estimation, correlation, regression, confidence intervals, onesample and two sample hypothesis testing, and (time permitting) nonparametric hypothesis testing. Emphasis is placed on the interpretation and critical evaluation of the numbers and statistics encountered outside of school. A graphing calculator is required (TI84+ is strongly recommended).

ALGEBRA 1
College Prep Course #: MA100
5 Credit Full Year Course
Recommended for grade 9The fundamental purpose of the Algebra I course is to formalize and extend the Mathematics that students learned in middle school. This course is comprised of the standards found in the 2017 Massachusetts Curriculum Frameworks. It encompasses the scope of content and skills required for college preparation and focuses on mathematical concepts that allow students to apply realworld situations to four critical areas of instruction:
 Extend understanding of numerical manipulation to algebraic manipulation;
 Synthesize deeper understanding of function;
 Deepen and extend the understanding of linear relationships;
 Apply linear models to data that exhibit a linear trend.

ALGEBRA 1 / GEOMETRY
College Prep Course #: MA101
Accelerated Course #: MA102
5 Credit Full Year Course
Recommended for grade 9The fundamental purpose of the Algebra I / Geometry course is to formalize and extend the Mathematics that students learned in middle school. This course is comprised of the standards found in the 2017 Massachusetts Curriculum Frameworks. It encompasses the scope of content and skills required for college preparation and focuses on mathematical concepts that allow students to apply realworld situations within five critical areas of instruction:
 Extend understanding of numerical manipulation to algebraic manipulation;
 Synthesize understanding of function;
 Deepen and extend the understanding of linear relationships;
 Apply linear models to data that exhibit a linear trend;
 Summarize, represent, interpret, and display data on two categorical and quantitative variables.

ALGEBRA 2
College Prep Course #: MA323
5 Credit Full Year Course
Recommended for grade 11The fundamental purpose of Algebra 2 is comprised of the standards found in the 2017 Massachusetts Curriculum Frameworks. It encompasses the scope of content and skills required for college preparation and focuses on the mathematical concepts that allow students to apply realworld situations within four critical areas of instruction:
 Compare key characteristics of quadratic functions with those of linear and exponential functions;
 Solve equations and inequalities involving linear, exponential, and quadratic expressions;
 Build upon understanding of the functions families and identify appropriate types of functions to model a given situation;
Expand understanding of functions and graphing to include trigonometric functions.

ALGEBRA 2 / GEOMETRY
College Prep Course #: MA337
Accelerated Course #: MA347
5 Credit Full Year Course
Recommended for grade 10The fundamental purpose of the Algebra II / Geometry course is comprised of the standards found in the 2017 Massachusetts Curriculum Frameworks. It encompasses the scope of content and skills required for college preparation and focuses on mathematical concepts that allow students to apply realworld situations to five critical areas of instruction:
 Extend the laws of exponents to rational exponents;
 Compare key characteristics of quadratic functions with those of linear and exponential functions;
 Create and solve equations and inequalities involving linear, exponential, and quadratic expressions;
 Establish criteria for similarity of triangles based on proportional reasoning;
 Establish criteria for similarity of triangles based on proportional reasoning; summarize, represent, interpret, and display data
on two categorical and quantitative variables.

CALCULUS
College Prep Course #: MA430
Accelerated Course #: MA431
5 Credit Full Year Course
Recommended for grade 12This course is for students with a good aptitude for mathematics, who may pursue a course study in mathematics, computer, science or engineering. This course will cover many of the topics normally studied during the first semester of college calculus including limits, methods of differentiation, applications of derivatives, techniques of integration and applications of the integral. It is recommended that students feel confident with previous math classes, Precalculus/Trigonometry concepts, and a graphing calculator.

GEOMETRY
College Prep Course #: MA333
5 Credit Full Year Course
Recommended for grade 10The fundamental purpose of the Geometry course is to formalize and extend the Mathematics that students learned in middle school. This course is comprised of the standards found in the 2017 Massachusetts Curriculum Frameworks. It encompasses the scope of content and skills required for college preparation and focuses on mathematical concepts that allow students to apply realworld situations to six critical areas of instruction:
 Establish criteria for congruence of triangles;
 Establish criteria for similarity of triangles based on dilations and proportional reasoning;
 Informally develop explanations of circumference, area, and volume formulas;
 Apply the Pythagorean Theorem to the coordinate plan;
 Prove basic geometric theorems

PRECALCULUS / TRIGONOMETRY
College Prep Course #: MA348
Accelerated Course #: MA349
5 Credit Full Year Course
Recommended for grade 11The fundamental purpose of Precalculus / Trigonometry is comprised of the standards found in the 2017 Massachusetts Curriculum Frameworks. It combines algebraic, geometric and trigonometric techniques needed to prepare students for the study of calculus. It encompasses the scope of content and skills required for college preparation and focuses on the mathematical concepts that allow students to apply realworld situations to four critical areas of instruction and continue work with:
 Trigonometry: Create trigonometric graphs, prove trigonometric identities, and convert trigonometric forms of complex
numbers.  Functions: Expand student understanding of functions to include logarithmic and trigonometric functions. This includes the
role of e, natural and common logarithms, laws of exponents and logarithms, and the solutions of logarithmic and exponential
equations.  Fundamental Theorem of Algebra: Deepen student understanding of the Fundamental Theorem of Algebra by investigating,
identifying, graphing and converting between the geometric description and equations of conic sections.  Calculus: Recognize the fundamental elements of calculus. This includes the introduction of limits with both an algebraic and
graphical representation as well as the concept of derivatives.
 Trigonometry: Create trigonometric graphs, prove trigonometric identities, and convert trigonometric forms of complex

PROBABILITY AND STATISTICS
College Prep Course #: MA344
Accelerated Course #: MA345
5 Credit Full Year Course
Recommended for grades 1112This course for students in grades 11 and 12 is about the collection, display, summarization, analysis, interpretation of data, and concepts from the mathematic disciplines of probability and statistics. The probability portion will include topics such as the basic rules of counting, permutations, combinations, discrete distributions (binomial, Poisson, geometric), and continuous distributions (normal, tdistribution, chisquare, Fdistribution). The statistics portion topics consist of sampling, estimation, correlation, regression, confidence intervals, onesample and two sample hypothesis testing, and (time permitting) nonparametric hypothesis testing. Emphasis is placed on the interpretation and critical evaluation of the numbers and statistics encountered outside of school.