Mathematics Core & Elective Courses

District Director of Mathematics: Dr. Cheryl Engel, cengel@mhrd.org

When reviewing the coursework outlined below, please note that math teachers will recommend appropriate levels for students. These recommendations will be based on factors such as grades, homework, classwork, tests, quizzes, motivation, and aptitude. Students wishing to enroll in a course or level not recommended by their teacher must complete a math course waiver. Note: Waivers can only be pursued if the prerequisite coursework has been completed.

Algebra 1 Courses

ALGEBRA 1 CPA/CPB (MT210/110)

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

This is the introductory course in the mathematics college preparatory sequence, providing a foundation for advanced studies in high school, technical institutes, or college. The course covers topics such as functions, linear functions, extensions of linear functions, polynomial operations and factoring, quadratic functions, exponential functions, and statistics. This course may have an optional Summer Assignment.

Geometry Courses

GEOMETRY CPA/CPB (MT120)

Grades 9 (CPA only), 10, 11, 12; 5 credits; Required One Year; Prerequisite: Algebra 1 CPA/CPB

This course is the second in the mathematics college preparatory sequence, focusing on an in-depth exploration of plane, solid, and coordinate geometry as it applies to both abstract mathematical concepts and real-world problem-solving. Topics include reasoning and proof, parallel lines and polygons, similarity and congruence, analytic geometry, trigonometry, area, surface area, and volume, and geometric probability. Emphasis is placed on developing critical thinking skills through logical reasoning and argumentation. Students will utilize various technological tools to explore and explain the course content. This course may have an optional Summer Assignment.

GEOMETRY H (MT310)

Grades 9, 10, 11, 12; 5 credits; Required One Year; Prerequisite: Algebra 1 CPA

The honors-level geometry course is designed for students whose past achievements, interests, and potential demonstrate a strong desire for a rigorous and challenging approach to mathematics. Offered as the first course in the honors mathematics sequence, this course builds upon the concepts covered in the college preparatory Geometry course but delves into them at a deeper and more advanced level. Students will engage in a comprehensive study of plane, solid, and coordinate geometry, including reasoning and proof, parallel lines and polygons, similarity and congruence, analytic geometry, trigonometry, area, surface area, and volume, and geometric probability. The course emphasizes critical thinking, logical reasoning, and precise argumentation, encouraging students to tackle complex problems and develop a profound understanding of geometric principles. Advanced use of technology and manipulatives is integrated to support discovery and exploration. This course may have an optional Summer Assignment.

Algebra 2 Courses

ALGEBRA 2 CPA/CPB (MT230/MT130)

Grades 9 (CPA only), 10, 11, 12; 5 credits; Required One Year; Prerequisite: Algebra 1 CPA/CPB

This is the third course in the mathematics college preparatory sequence, building on foundational concepts from Algebra 1. Topics include functions and systems, quadratic functions and complex numbers, polynomial functions, rational exponents and radical functions, exponential and logarithmic functions, statistical studies and probability, and sequences and series. An optional Summer Assignment may be offered for this course.

ALGEBRA 2 H (MT320)

Grades 9, 10, 11, 12; 5 credits; Required One Year ; Co- or Prerequisite: Geometry H/CPA

This course is designed for students who have demonstrated exceptional ability and motivation in mathematics and will meet the needs of students who anticipate entering college majors requiring an extensive mathematical background. The honors-level algebra 2 courses provides a rigorous and in-depth study for students who desire a challenging curriculum. Building upon the foundational concepts from Algebra 1, the course covers functions and systems, quadratic functions and complex numbers, polynomial functions, rational exponents and radical functions, exponential and logarithmic functions, statistical studies and probability, and sequences and series. Algebra 2 H may explore enrichment topics including conic sections and an introduction to trigonometry. Offered as the second course honors sequence in the mathematics sequence, this course explore topics from the college preparatory Algebra 2 course, but at a deeper level, with a focus on advanced problem-solving, critical thinking, and real-world applications. The pace and complexity of the material are elevated, requiring independent learning, collaboration, and strong analytical skills. This course may have an optional Summer Assignment.

Elective Math Courses

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.

*Exceptional students in Financial Algebra may be considered for Data Science on an individual basis.

STATISTICS & PROBABILITY (MT250)

Grades 11, 12; 5 credits; One Year Elective

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

This course provides instruction in probability with statistical applications and will help the student understand the fundamental ideas that underlie decisions that are reached by the extensive use of statistical methods in the modern world. Topics to be covered include descriptive statistics, probability and inference. Students will utilize professional statistical software to analyze data. ^^Three college credits may be earned through the Fairleigh Dickinson University Middle College Program.

*Exceptional students in Financial Algebra may be considered for Statistics/Probability on an individual basis.

COLLEGE MATH TOPICS (MT240)

Grades 12; 5 credits; One Year Elective

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

This course serves as a fourth-year college preparatory mathematics elective, designed to introduce students to a variety of engaging and practical mathematical topics. Emphasizing concepts not typically covered in traditional math courses, the curriculum addresses skills increasingly essential for academic and careen readiness. Topics include probability, voting and apportionment, statistics, graph theory, linear programming, and coding. The course also provides a review the mathematical concepts commonly assessed on standardized tests such as the SAT, to support student success.

FINANCIAL ALGEBRA (MT241)

Grade 11, 12; 5 credits; Required One Year

Prerequisite: Geometry CPA/CPB

This course is offered as the third or fourth year of the mathematics college preparatory sequence. The purpose of the course is to give students the tools to become a financially responsible young adult by relating algebra, geometry, precalculus, and probability and statistics to financial problems that occur in everyday life. Real-world problems in investing, credit, banking, auto insurance, mortgages, employment, income taxes, budgeting and planning for retirement are solved by applying the relevant mathematics. Projects, computer spreadsheets, and graphing calculators are key components of the course. This course may use this course to fulfill either the Math or PFL requirement, but not both.

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.

Other

BRIDGES TO SUCCESS MATH (MT001)

Grade 12; 2.5 or 5 credits; One semester elective or one semester/one year required for students who have not met minimum proficiency on the NJGPA or state-approved alternative assessment ; Does not satisfy mathematics graduation requirement

Prerequisite: NA

Bridges to Success Math may be required for those students who have not met the high school graduation requirement on the state mathematics assessment or earned the minimum score on one of the New Jersey Department of Education-approved alternative assessments. Students will prepare for senior year administration of the New Jersey Graduation Proficiency Assessment, an alternative assessment, or the portfolio assessment. Those who do not pass the fall administration of the state assessment or meet the minimum scores on alternative assessments will develop a portfolio during the second semester for the high school graduation appeal process.