• Math Department Course Offerings

    If you have questions regarding the Math curriculum, email Mr. McFarland (mmcfarla@nhart.org), Math Department Chairperson, or call 315-624-1262.

    The Math Department at the Senior High includes: 
    • Mr. McFarland, Chairperson
    • Mrs. Brownsell
    • Mrs. Cooper
    • Mrs. Foster
    • Mr. Romanow
    • Mrs. Roth
    • Mrs. Ryczek

     

    GRADUATION REQUIREMENTS  

     

    COURSES AT THE SENIOR HIGH

    CREDIT

    SCHEDULE

    PREREQUISITE

    Algebra 1

    1.0

    Semestered

    		  

    Financial Algebra

    1.0

    Semestered

    Algebra 1 Regents course and Regents Exam

    Geometry Prep

    1.0

    Semestered

    Algebra 1 Regents course and Regents Exam

    Geometry 

    1.0

    Semestered

    Geometry Prep or Algebra 1 Regents course and minimum of 80 on Regents Exam

    Algebra 2 & Trig Topics (MA115 @ MVCC)

    1.0

    Semestered

    Geometry Prep

    Discrete Mathematics

    1.0

    Semestered

    Algebra 2 & Trig Topics concurrently
    Elementary Statistics (MA110 @ MVCC) 

    1.0

    Semestered

    Geometry Prep or Financial Algebra

    Algebra 2

    1.0

    Semestered 

    Geometry course and minimum of 80 Regents Exam or Algebra 2 & Trig Topics

    PreCalculus (MA150)

    1.0

    Semestered

    Algebra 2 course and pass the Regents Exam; Recommended 80+ Regents Exam
    A.P. Computer Science A   

     1.0 (0.5 each semester)

    		 Alternate day all year Algebra 2 course and Regents Exam

    A.P. Statistics

    1.0  (0.5 each semester)

    Alternate day all year

    Algebra 2 course and Regents Exam

    A.P. Calculus AB

    1.0 (0.5 each semester)

    Alternate day all year

     PreCalculus 

    A.P. Calculus BC

    1.0 (0.5 each semester)

    Alternate day all year

    Adv. Placement Calculus AB plus 3 or higher on Adv. Placement AB exam

     

     
    COURSE DESCRIPTIONS
     
    Elementary Statistics, Algebra 2 & Trig Topics, and PreCalculus are courses that enable students to receive dual-credit with Mohawk Valley Community College and New Hartford Senior High School. To earn credit for the corresponding course at MVCC students will need to complete the MVCC registration, take and pass the MVCC placement test (student may be able to use ACT, SAT, or GPA for the placement test), successfully complete all requirements of the course, and pass the final exam. There is no cost to the student and the credits are transferable to other colleges.
     
    ALGEBRA 1
    1 unit of credit
     
    This course will assist students in developing skills and processes to be applied using a variety of techniques to successfully solve problems in a variety of settings. Topics include all types of linear equations in one variable, quadratic functions with integral coefficients and roots as well as absolute value and exponential functions. Coordinate geometry will be integrated into the investigation of these functions allowing students to make connections between their analytical and geometrical representations. Other topics include data analysis, including measures of central tendency and visual representations of data, correlation and lines of best fit, right triangle trigonometry, and elementary probability theory. Students will take the Algebra Common Core Regents Exam at the end of this course. 
     
     
    FINANCIAL ALGEBRA
    1 unit of credit
     
    This course is a finance course which is algebra based and is geared towards real world mathematics. Topics will be related to financial experiences that students may encounter in adulthood. Students will be enriched on real life topics such as mortgages, credit cards, banking, loans, and everyday adult finances. A graphing calculator is required.  A local exam is administered with the completion of this course.
     
     
    GEOMETRY PREP
    1 unit of credit
     
    This course is designed for students who successfully completed Integrated Algebra and the Regents exam and prepares a student to continue on to Geometry. This course covers in a less rigorous manner many of the same topics as Geometry. More time is devoted to student activities with a view to deepening the student's understanding of the fundamentals of Geometry. A local exam is administered with the completion of this course.
     
     
    GEOMETRY 
    1 unit of credit
     
    Geometry is the second course in mathematics for high school students. Within this course, students will have the opportunity to make conjectures about geometric situations and prove in a variety of ways, both formal and informal, that their conclusions follows logically from their hypothesis. This course is meant to employ an integrated approach to the study of geometric relationships. Some of the topics will include congruence and similarity of triangles using appropriate theorems, transformations including rotations, reflections, translations and glide reflections along with coordinate geometry to help establish and verify coordinate relationships. A major emphasis of the course is to allow students to investigate properties of triangles, quadrilaterals and circles. Students will also use the traditional tools of compass and straightedge as well as dynamic software that models these tools more efficiently and accurately, to assist in these investigations. Students will take the Geometry Common Core Regents Exam at the end of the course.  
     

    ALGEBRA 2 & TRIG TOPICS (MA115 @ MVCC)
    1 unit of credit
     
    The course will include the following topics: units of measurement; approximate numbers; fundamental concepts and algebraic operations; functions and graphs; system of linear equations; operations with algebraic expressions; exponents and radicals; ratios, proportions and variation; introduction to trigonometry; applications in trigonometry; and additional topics found in Algebra 2.
     
     
     
    DISCRETE MATHEMATICS
    1 unit of credit
     
    This course will provide students a foundation of mathematical concepts needed to be successful in computer programming courses. The topics will include: Logic and Boolean Algebra, Number Systems, Matrices, Linear Programming, and fundamentals of JAVA.
     
     
    ELEMENTARY STATISTICS (MA110 @ MVCC)
    1 unit of credit
     
    This course is an introduction to probability and statistics. Topics covered are: graphs, tables, frequency distributions, measures of central tendency and dispersion, the normal distribution, correlation and regression, probability, and an introduction to inferential statistics. It is intended for students who may major in the Social Sciences/Humanities in college.
     
     

    ALGEBRA 2
    1 unit of credit

    This is the third Regents course in mathematics. Within the course students will be expected to identify and justify mathematical relationships, formally and informally. Students will be provided with a variety of ways to acquire and demonstrate mathematical reasoning when solving problems. This course includes units on Irrational and Complex Numbers, Functions and Relations, Exponents and Logarithms, Trigonometry Basics and Applications, Arithmetic/Geometric Sequences, and Probability and Statistics. A graphing calculator is required.
     

    PRECALCULUS (MA150 @ MVCC)
    1 unit of credit
     
    This course continues the work of Algebra 2. It extends the study of algebraic functions to higher degree polynomial functions and the relationship between these functions and graphs in the coordinate system. It includes the study of exponential and logarithmic functions, more advanced trigonometry and the transformation of functions from rectangular coordinates to polar coordinates. The basic rectangular coordinate work, which was part of Algebra 2 will be extended to cover Analytic Geometry. The graphing calculator is used extensively. Students who plan to take Calculus in college are advised to enroll in this course. A graphing calculator is required.
     
    The successful completion of the MVCC Math Placement Test will be required to earn MVCC credit (there are no exemption options for this course).
     
     
    ADVANCED PLACEMENT COMPUTER SCIENCE - A
    1 unit of credit (0.5 each semester)
     
    Students enrolled in this course are required to take the accompanying Advanced Placement Exam in May.
     
    AP Computer Science A is a college level course that introduces students to computer science.  Topics covered include:  programming methodology, problem solving, organization of data, algorithm development, analysis of potential solutions, object-oriented programming techniques, searching and sorting methods, and an introduction to data structures, using the Java programming language, and the ethical and social implications of computing.  
     
     
    ADVANCED PLACEMENT STATISTICS
    1 unit of credit (0.5 each semester)
     
    Students enrolled in this course are required to take the accompanying Advanced Placement Exam in May.
     
    AP Statistics is a college level course which covers the following major topics: exploring data; planning a study (deciding what and how to measure); anticipating patterns (using probability and simulation); and statistical inference (confirming models). The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes:
    • Exploring Data: Describing patterns and departures from patterns
    • Sampling and Experimentation: Planning and conducting a study
    • Anticipating Patterns: Exploring random phenomena using probability and simulation
    • Statistical Inference: Estimating population parameters and testing hypotheses

    Use of a graphing calculator is required for this course, and students are expected to be comfortable with their calculator use.

     
    ADVANCED PLACEMENT CALCULUS AB
    1 unit of credit (0.5 each semester)
     
    Students enrolled in this course are required to take the accompanying Advanced Placement Exam in May.
     
    The topics will focus on an understanding of higher order functions, including polynominal, rational, exponential, logarithmic, trigonometric functions, and an intuitive understanding of concepts of calculus, its methods and applications. Students will take the AP exam and, if successful, could receive one semester college math credit. A graphing calculator is required.
     
      
    ADVANCED PLACEMENT CALCULUS BC
    1 unit of credit (0.5 each semester)
     
    Students enrolled in this course are required to take the accompanying Advanced Placement Exam in May.
     
    Calculus BC is a course in single-variable calculus that includes all the topics of Calculus AB (techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus) plus additional topics in
    differential and integral calculus (including parametric, polar, and vector functions) and series. It is equivalent to at least a year of calculus at most colleges and universities. Algebraic, numerical, and graphical representations are emphasized throughout the course. A graphing calculator is required.