Mathematics

  • Mathematics  
     
    ALGEBRA I - all levels  
    5 Credits, Grades 9   
    Algebra I is designed to give students the requisite skills for all future mathematics courses through real world problem solving. Students will explore writing, solving and graphing linear equations and inequalities, powers and exponents, quadratic equations, polynomials, factoring, probability, and statistics. The first unit in this curriculum is the basis of Algebra I and a review of learning in 8th grade math. Given the need to reconcile different 8th grade curricula, this unit is extensive. Teachers will formatively assess student understanding prior to this unit, and will plan to focus on areas in need of attention. Teachers will also pace assessments throughout this unit as appropriate to student readiness. CODE # 031640, 032040

    ALGEBRA I WORKSHOP  
    2.5 - 5 Credits, Grades 9  
    Algebra I Workshop is an elective taught concurrently with Algebra I and will provide assistance with algebraic content, techniques, and strategies needed develop mathematical proficiency and fluency. Students will develop the confidence and appreciation for using mathematics so they can be more successful as they progress in their high school math courses. Emphasis will be placed on written and oral communication of mathematics, as well as the ability to justify mathematical decisions. CODE #  03021X, 03022X

    GEOMETRY - all levels
    5 Credits, Grades 9- 10
    Prerequisite: Algebra I
    These courses will formalize and extend students’ geometric experiences from the middle grades. The courses are driven by the state standards and apply the eight Mathematical Practices. Students will explore more complex geometric situations and deepen their explanations of geometric relationships moving toward formal mathematical arguments. The courses guide students to experience mathematics as a coherent, useful, and logical subject that makes use of their ability to exercise problem-solving skills in authentic situations. The curriculum includes the topics of transformations, congruence, similarity, trigonometry, two- and three-dimensional figures, circles, and probability. CODE # 032640, 032850

    ALGEBRA II - all levels
    5 Credits, Grades 11 - 12
    Prerequisite: Intermediate Algebra I, Algebra I

    The state standards and the eight Standards of Mathematical Practices drive this curriculum. Students will extend their knowledge of algebraic and statistical concepts by analyzing various relationships. Specifically, learners will study inverses and new function families: polynomial, rational, radical, exponential, logarithmic, and trigonometric. Students will also spend a significant portion of the year deepening their knowledge of probability and statistics. All levels of this course will study the aforementioned topics at a different pace; honors students will study at a higher depth of knowledge. CODE # 033040, 033240, 033450

    HONORS AND ACADEMIC PRE-CALCULUS
    5 Credits, Grades 10 - 12
    Prerequisite: Geometry and Algebra II
    Pre-Calculus is the study of discrete topics in advanced algebra and trigonometry. Students will investigate theoretical, numerical, graphical, and spatial topics upon which to build their study of advanced mathematics. Pre-Calculus provides the background for mathematical concepts, problems, issues, and techniques that appear in the study of calculus, including but not limited to: functions, trigonometry, polynomials, complex numbers, matrices, series and sequences, limits and continuity, and derivatives. The use of technology is infused in this course to gather, analyze, and communicate mathematical information. CODE # 033840, 034050
     
    CALCULUS
    5 Credits, Grade 12
    Prerequisite: Pre-Calculus or Honors Pre-Calculus

    This course is for students interested in engineering, physics, weather prediction, aircraft design, and other scientific careers that develop theories, solve practical problems, and predict natural phenomena. Topics covered include functions and graphs, tangent lines, derivatives, limits and continuity, applications of differentiation and integration. Calculus provides the answer to questions that cannot be solved by using, algebra, geometry, or trigonometry alone. CODE # 034240

    COLLEGE AND CAREER MATH
    5 Credits, Grade 11-12
    Prerequisite: Algebra I and Geometry  
    College and Career Math is a culminating course in the math sequence that builds on skills from Algebra and Geometry, strengthening students’ ability to model scenarios and solve authentic problems. Problems are approached from a variety of perspectives, including graphical, numerical, verbal, and algebraic. Students will apply the standards of mathematical practices, algebraic reasoning, and statistics to analyze social applications as well as economic applications related to personal and business finance. CODE # 030930

    PROBABILITY & STATISTICS
    5 Credits, Grades 11 - 12
    Prerequisite: Algebra II

    In this course, students will learn the concepts that serve as the foundation for the study of probability and statistics. Students will see how fields outside of mathematics use statistics to analyze and interpret data to make informed decisions. With the assistance of technology such as the TI83/84 graphing calculator, they will apply these concepts to critically analyze and synthesize information. This course mirrors that of a college level introductory statistics course. CODE # 034900

    ADVANCED ALGEBRA AND TRIGONOMETRY
    5 Credits, Grades 11 - 12
    Prerequisite: Geometry and Algebra II or Intermediate equivalents with departmental recommendation

    This course is designed for students to extend their understanding of algebra and introduce the study of trigonometry and basic statistics. A thorough understanding of functions and their graphs will be stressed. The course provides an alternative to Pre-Calculus for those students who intend on going to college, but are not likely to need Calculus for their majors. CODE # 035960

    DISCRETE MATHEMATICS
    5 Credits, Grades 11 - 12
    Prerequisite: Geometry and Algebra II or equivalent preparation and departmental recommendation

    This college preparatory mathematics course includes units on mathematics of social choice, management science, growth and symmetry, and the development and use of mathematical models to reflect real-life applications. CODE # 033640

    ADVANCED PLACEMENT CALCULUS AB
    5 Credits, Grades 11-12
    Prerequisite: Pre-Calculus and departmental recommendation

    This college level course on differential and integral calculus encompasses the study of elementary functions, limits, the derivative and its application, antiderivatives, integration, slope fields, and applications of the integral. CODE # 034250

    ADVANCED PLACEMENT CALCULUS BC
    5 Credits, Grade 11-12
    Prerequisite: Pre-Calculus and departmental recommendation

    This is an intensive full year course exploring the calculus of single variable functions. In addition to the topics covered in Calculus AB, the Calculus BC course includes additional advanced topics, such as infinite series, sequences, parametric equations, and vectors. CODE # 034450

    ADVANCED PLACEMENT STATISTICS
    5 Credits, Grades 11 - 12
    Prerequisite: Algebra II and/or departmental recommendation 
    This college level course offers the study of major concepts and tools for collecting, analyzing, and drawing conclusions from data. The curriculum includes four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. CODE # 035050     

    5 Credits, Grades 11 - 12
    Modern Math is intended to introduce mathematical fields of study that go beyond Algebra and Geometry. This course opens the door for students to pursue passions and interests that require a deeper understanding of mathematics. Modern Math stresses the importance of the recurring themes and patterns in mathematics, which become evident in the context of modern world scenarios. Building on their Algebra I and Geometry foundations, students will think numerically, algebraically, spatially, and logically by engineering solutions to current dilemmas through the Standards of Mathematical Practice. After completing this course, students will be equipped to pursue several rigorous courses in mathematics on the high school and collegiate levels. CODE # 030730
      
    2.5 credits, Grades 11-12
    This is a mathematics survey course that covers sets, logic, and two topics chosen from probability, numeration systems, geometry, consumer mathematics, and graph theory.
    CODE # 03610X
     
    2.5 Credits, Grades 10 - 12 
    Honors Computer Science is an introductory computer science course. It provides the foundational knowledge and skills that students will need to be successful in AP Computer Science A. Students will learn the basic structures of programming such as repetition statements, selection statements, and arrays. They will learn these basics through the creation of user-friendly and efficient programs using the Java programming language. CODE #  03601X
     
    ADVANCED PLACEMENT COMPUTER SCIENCE A
    5 Credits, Grades 10 - 12
    Prerequisite: Algebra II and/or departmental recommendation

    This is an intensive full year course that familiarizes students with programming concepts (using the Java programming language) comparable to an introductory course in computer science at the college level. Topics include: Java fundamentals, arrays and matrices, selection and repetition, pointers and dynamic memory, strings and text, classes and objected-oriented programming, recursion, searching and sorting techniques, algorithmic analysis, and references and dynamic memory. (Offered at Freehold, Freehold Township, Manalapan, and Marlboro High Schools only.) CODE # 036050