Mathematics Advanced Courses & Electives

District Director of Mathematics: Ms. Cheryl  Engel Giordano, cgiordano@mhrd.org



When reviewing the course work below, please note that math teachers will make recommendations for the appropriate levels for students.   They will base their recommendations on grades, homework, class work, tests, quizzes, motivation, and aptitude.   Students who desire a course or level not recommended by their teacher will need to complete a math course waiver pending they have met the prerequisite course work.

Advanced Mathematics Courses


PRECALCULUS   (MT231)

Grades 10, 11, 12; 5 credits; One Year Elective

Prerequisites: Algebra 2 CPA and Geometry CPA

This course is offered as the third or fourth year of the mathematics college preparation sequence. The major emphasis is on the study of the number systems of elementary mathematics and the study of the elementary functions. Course content includes circular and trigonometric functions, sequences, series, limits, algebraic functions, vector geometry, and quadratic relations. This course is designed to prepare students for a complete course in analytic geometry and calculus as well as to assist them to apply their knowledge of mathematics to related areas such as chemistry, physics, biology, mechanical drawing, electronics, industry, etc. This course may have an optional Summer Assignment.  ^^Three college credits may be earned through the Fairleigh Dickinson University Middle College Program.


PRECALCULUS H  (MT330)

Grades 10, 11, 12; 5 credits; One Year Elective

Prerequisites: Algebra 2 CPA/H and Geometry CPA/H 

This course is offered as the third or fourth year of the mathematics college preparation sequence. The major emphasis is on the study of the number systems of elementary mathematics and the study of the elementary functions. Course content includes circular and trigonometric functions, sequences, series, limits, algebraic functions, vector geometry, logarithmic ,polynomial and exponential functions. and quadratic relations. This course is designed to prepare students for Advanced Placement Calculus AB or BC as well as to assist them to apply their knowledge of mathematics to related areas such as chemistry, physics, biology, mechanical drawing, electronics, industry, etc. This course may have an optional Summer Assignment.  ^^Three college credits may be earned through the Fairleigh Dickinson University Middle College Program.


CALCULUS & ANALYTIC GEOMETRY H  (MT340)

Grades 11, 12; 5 credits; One Year Elective

Prerequisite: Precalculus/Precalculus H or Academy Math Analysis 2 H 

This course is designed for the student whose past achievement, interest, and potential indicate a rigorous approach to mathematics is feasible. This is a standard first year college course covering analytic geometry, differential calculus, and elementary integral calculus. The text is one widely used by colleges. Emphasis is on theoretical backgrounds of the operations of calculus. Calculus and Analytic Geometry will provide an excellent culmination of high school mathematics—one that uses many of the skills learned in previous courses as well as a preview of the mathematics of college. ^^Three college credits may be earned through the Fairleigh Dickinson University Middle College Program.


ADVANCED PLACEMENT CALCULUS AB  (MT440)

Grades 11, 12; 5 credits; One Year Elective

Prerequisites: Precalculus/Precalculus H or Academy Math Analysis 2 H 

Advanced Placement Calculus AB prepares students for the AB level examination of the College Board Advanced Placement Program. This course, which covers differential and integral calculus, parallels a first-year college course in calculus and is designed for students who have demonstrated high proficiency in previous college preparatory mathematics courses. Students can expect detailed work in both theoretical and practical aspects. This course may have an optional Summer Assignment.           


ADVANCED PLACEMENT CALCULUS BC (MT441)

Grades 11, 12; 5 credits; One Year Elective

Prerequisites:  Precalculus H or Academy Math Analysis 2 H; Departmental approval required 

Advanced Placement Calculus BC prepares students for the BC level examination of the College Board Advanced Placement Program.  The course, which covers differential and integral calculus, plus the topics of series, polar graphs, and vectors, parallels as a first-year college course in calculus and is designed for students who have demonstrated high proficiency in previous college preparatory mathematics courses.  Students can expect detailed work in both theoretical and practical aspects. This course may have an optional Summer Assignment. 


CALCULUS 3 MULTIVARIABLE H  (MT341)

Grade 12; 5 credits; One Year Elective

Prerequisite:  AP Calculus BC 

In Calculus 3 students draw upon the knowledge obtained in AP Calculus and extend it to three-dimensional space.  This advanced mathematics course is ideal for those students planning a career in physics, engineering or other mathematically-oriented disciplines as the techniques learned and discovered lay the foundation to many important theories and applications.  This course emphasizes conceptual understanding and (intelligent use of) technology. Group discussion and teamwork are emphasized as the students and the instructor will benefit greatly by working on and discussing problems together. College credit is available through NJIT.  ^^Three college credits may also be earned through the Fairleigh Dickinson University Middle College Program.


ADVANCED PLACEMENT STATISTICS (MT450)

Grades 10, 11, 12; 5 credits; One Year Elective

Prerequisites: Algebra 2 CPA/H or Academy Math Analysis 1 H 

Advanced Placement Statistics prepares students for the AP Statistics Examination of the College Board Advanced Placement Program.  This course provides college-level work in statistics and will include topics of data analysis, probability and inference.  Technology will be an integral part of the course.  Students can expect detailed work in both theoretical and practical applications.  


^^Course eligibility for the Middle College Program may vary from year to year.  Check with your instructor at the start of the school year to see the most up-to-date list of eligible classes.


Electives


DATA SCIENCE (MT251)

Grade 11, 12; 5 credits; One Year Elective

Prerequisite: Geometry CPA/CPB and Algebra 2 CPA/CPB


This course introduces students to the main ideas in data science through free tools. Students will learn to explore data through project-based units where they will develop an understanding of data analysis, sampling, correlation/causation, bias and uncertainty, probability, modeling with data, making and evaluating arguments, and the power of data in society. 


ADVANCED PLACEMENT COMPUTER SCIENCE PRINCIPLES  (MT421)

Grades 9, 10, 11, 12; 5 credits; One Year Elective

Prerequisite: successful completion of Algebra 1; Does not satisfy mathematics graduation requirement

AP Computer Science Principles offers a multidisciplinary approach to teaching the underlying principles of computation. The course will introduce students to the creative aspects of programming, abstractions, algorithms, large data sets, the Internet, cybersecurity concerns, and computing impacts. AP Computer Science Principles will give students the opportunity to use technology to address real-world problems and build relevant solutions. This course prepares the student for the Advanced Placement Computer Science Principles exam offered by the College Board.  This course meets the TCLC graduation requirements if taken during the 2022-2023 school year or later. 


ADVANCED PLACEMENT COMPUTER SCIENCE A  (MT420)

Grades 10, 11, 12; 5 credits; One Year Elective

Prerequisite: Algebra 2 CPA/H or Academy Math Analysis 1H or AP Computer Science Principles; Does not satisfy mathematics graduation requirement

This course prepares the student for the Computer Science A Examination of the College Board Advanced Placement Program. Topics are presented at the depth and rigor of a college course and parallel those taught in a first-year college course for Computer Science, Math, Physics, Engineering, and other STEM majors.  Students can expect detailed work in both theoretical and practical aspects of computer science with an emphasis on JAVA language syntax, program logic, modular design, algorithms, and data structures. Applications and social implications of computing are also integrated into the course.  Students who successfully complete this course will be able to achieve advanced standing into the appropriate course and for appropriate credit as determined by the result of the AP examination.  This course meets the TCLC graduation requirements if taken during the 2020-2021 school year or later. 


SAT PREPARATION (EN921)

Grades 10 (spring only), 11; 2.5 credits; Elective 

The primary goal of this semester course is to help students prepare for the SAT in math and language arts.  Students will receive one marking period of mathematics instruction and one marking period of language arts instruction.  In this course students will learn how the SAT is scored, review and practice math and language arts concepts for each question type, learn test-taking strategies, and practice pacing by taking several timed practice tests.