
Math Courses
If you have questions regarding the Math curriculum, email Mr. McFarland (mmcfarla@nhart.org), Math Department Chairperson, or call 3156241262.
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
 Students are required to earn three credits in math
 Students must also successfully complete the Algebra Regents Exam
 Students seeking the Advanced Designation Regents Diploma must earn a minimum of 65 on three required exams (Algebra 1; Geometry; Algebra 2)
 The folowing courses listed in the Business/Technology Department may fulfill the requirement for the third unit of math credit:
 Accounting
 Design and Drawing for Production
 Digital Electronics
 Computer Integrated Manufacturing
 Principles of Engineering
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 DESCRIPTIONSElementary Statistics, Algebra 2 & Trig Topics, and PreCalculus are courses that enable students to receive dualcredit with Mohawk Valley Community College and New Hartford Senior High School. To earn credit for the corresponding course at MVCC students must take and pass the MVCC 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 11 unit of creditThis 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 ALGEBRA1 unit of creditThis 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 PREP1 unit of creditThis 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.GEOMETRY1 unit of creditGeometry 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 creditThe 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 MATHEMATICS1 unit of creditThis 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 creditThis 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 21 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 creditThis 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.ADVANCED PLACEMENT COMPUTER SCIENCE  A1 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, objectoriented 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 STATISTICS1 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 AB1 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 BC1 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 singlevariable 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 indifferential 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.