Mathematics and Computer Science Department

Course No. 425
Pre-Algebra

Full Year
No Credit for this course
Target Audience: Students needing work in fundamental mathematics skills.
Prerequisite: None
A first year high school mathematics course covering a review of fundamental arithmetic skills; operations with decimals; percents and fractions; ratio and proportion; introduction to probability and statistics; operations with integers; and an introduction to geometry. In addition, students will learn to work with algebraic expressions and equations. This course is designed to improve basic skills before beginning the two-year math I course.
Culminating Activity: Final exam.

Course Numbers: 440 (full), 426 (pt 1), 428(pt.2)
Integrated Algebra

Target Audience: Regular Track Freshmen
Prerequisite: Eighth Grade Mathematics
This one-year course addresses the standards set forth by the newly adopted New York State Mathematics Standards Committee (http://www.emsc.nysed.gov/3-8/MathCore.pdf). At the ninth grade level, students continue to study the five content strands: Number Systems and Operations, Algebra, Geometry, Measurement, and Statistics and Probability, with emphasis on algebra. We place value on students being able to problem solve, reason, and communicate mathematically.
In general, Integrated Algebra concentrates on the properties and operations of the Real Number System. Topics include the algebraic skills that are required to solve linear equations/inequalities and fractional equations, perform operations on monomials and polynomials, radicals, and algebraic fractions with like denominators. The students will also learn to solve and apply quadratic equations (by factoring), linear-linear systems (graphically and algebraically) and linear-quadratic system (graphically) of equations.
You are encouraged to review the complete list of performance indicators at the State Education Department’s website above. Integrated Algebra begins on page 87, with the content strands starting on page 91.
Students will take the New York State Regents Examination in Integrated Algebra at the end of the course.

Course No. 463 & 467
Geometry R & Geometry Honors R

Credit: 1 Credit - Full Year
Target Audience: Students who have successfully completed Integrated Algebra course and have passed NYS Integrated Algebra Regents exam.
Prerequisite: Integrated Algebra
A second year state developed curriculum that focuses on geometry. Attention is given to the idea of deductive, analytical, and indirect proof. Properties of congruent triangles lead to proving the properties of quadrilaterals. Coordinate geometry (slope, distance, midpoint) proofs are also explored. Work is also done with the internal and external angles of a polygon. The algebra of geometric relationships is taught in terms of congruent and similar triangles, mean proportional, composition of functions using transformational geometry, the measure of angles in a circle, the measure of angles created by chord, tangents and secants and writing equations of lines. Students will also graph linear-quadratic systems of equations and the circle.
Culminating Activity: Geometry Regents exam

Course No. 464
Geometry

Credit: 1 Credit - Full Year
Target Audience: Students who have successfully completed Integrated Algebra course.
Prerequisite: Integrated Algebra
A second year state developed curriculum that focuses on geometry. The course will give an over view of the regents curriculum, emphasizing algebra applied to geometric concepts. Some attention is given to the idea of deductive, analytical, and indirect proof. Properties of congruent triangles lead to proving the properties of quadrilaterals. Coordinate geometry (slope, distance, midpoint) proofs are also explored. Work is also done with the internal and external angles of a polygon. The algebra of geometric relationships is taught in terms of congruent and similar triangles, mean proportional, composition of functions using transformational geometry, the measure of angles in a circle, the measure of angles created by chord, tangents and secants and writing equations of lines. Students will also graph linear-quadratic systems of equations and the circle.
Culminating Activity: Teacher generated final

Course No. 450
Intermediate Algebra I

Full Year
Credit: 1 unit
Target Audience: Math II students who may have difficulty with Math III.
Prerequisite: Mathematics I and Mathematics II, or Math I part I, Math I part 2 and Math II.
This is a third or fourth year mathematics course for the students who may have difficulty succeeding with the rigor of Math III. Topics covered include: The structure of the number system through complex numbers; operations on real numbers, including fractions, exponents and radicals; operations on complex numbers; linear and quadratic functions and relations; open sentences including fractional; quadratic and absolute value; inequalities; systems of equations and inequalities in two variables. If taken in their junior year, students should finish their senior year with College Algebra.
Culminating Activity: Final Exam

Course No. 462
Intermediate Algebra II

Full Year
Credit: 1 unit
Target Audience: Senior students who are college bound but not mathematics majors.
Prerequisite: Successful completion of Math II and either Intermediate Algebra or Intermediate Geometry.
Introduction to College Algebra is a senior elective designed to keep college-bound, non-mathematics major students involved in the mathematics necessary for college mathematics course requirements. A college algebra textbook is used to study traditional topics in intermediate algebra as well as review some topics in geometry and statistics.
Culminating Activity: Final Exam

Course No. 455
Math III R

Full Year
Credit: 1 unit
Target Audience: Students following state guided three -year sequence.
Prerequisite: Mathematics I and Mathematics II
This is the final course in the state guided three- year sequence in mathematics. More advanced study is provided in the topics of Math I and Math II and of transformational geometry and probability / statistics. Algebraic and geometric topics such as: polynomials, rational expressions and complex numbers, relations and functions, circles, circular functions and trigonometry, are explored extensively to provide a solid foundation for college level mathematics.
Culminating Activity: Regents Course III Exam or Math B Regents Exam

Course Number: 465
Advanced Algebra/Pre-calc (CAP)

Credit: ½ credit per semester or 4 College Credits
Target Audience: Students who have completed Integrated Algebra, Integrated Geometry, and Algebra 2 & Trig
Prerequisite: Students who have successfully completed Integrated Algebra, Integrated Geometry and Algebra 2 & Trig (HS Credit)
Successful completion of entire Math B course and Math B Regents or placed through the CCC math placement exam (College Credit)
This twelfth year mathematics course is made up of two independent semester courses. The relationship among the separate disciplines of mathematics is studied and integrated into one subject. Topics include matrices, vectors, linear relations and functions, arithmetic, geometric, and infinite series and sequences.
Culminating Activity: Final Exam

Course Number: 472
Pre-Calculus (CAP)

Credit: 1 credit or 4 College Credits
Target Audience: Students who have completed Advanced Algebra
Prerequisite: Students who have completed Advanced Algebra (HS Credit)
Successful completion of entire Math B course and Math B Regents or placed through the CCC math placement exam (College Credit)
This second semester of the twelfth year mathematics course is designed to expose students to a number of topics beyond trigonometry. Although not meant to be a pre-calculus course, it does build a foundation to provide a better understanding for the concepts of calculus. Topics include conic sections, theories of equations with associated theorems, limits derivatives, relative maximum/minimums and related rates.
Culminating Activity: Final Exam

Course Number: 475, 476
Calculus (HS), College Calculus (CAP)

Credit: 1 High School Credit or 4 College Credits
Target Audience: College Bound Seniors
Prerequisite: Students who have successfully completed Integrated Algebra, Integrated Geometry and Algebra 2 & Trig (HS Credit)
Successful completion of entire Math B course and Math B Regents or placed through the CCC math placement exam (College Credit)
Calculus is a senior elective for college bound students wishing to pursue higher mathematics. This is a fifth credit-bearing course for students who began Integrated Algebra in middle school. Topics covered are rate of change of a function, formal differentiation and application, integration and application of the definite integral, and transcendental functions. Special consideration is given to methods of integration including basic formulas, powers of trigonometric functions, and integration by partial fractions and integration by parts. Successful completion of the Algebra 2 & Trigonometry course and State assessment is an absolute must. Completion of Advanced Algebra and Analysis is strongly recommended.
Culminating Activity: Final Examination

Course No. 473
Statistics

Target Audience: College Bound Junior or Seniors
Prerequisite: Successful completion of Math B course or current enrollment and passing Math III
This course is an upper class senior elective for college bound students.  Many career majors require Statistics as a part of their course lists. This course is intended to give students exposure to the application and theories of statistics that would assist in success in future college courses. The topics covered include: Organizing data and the study of patterns,  Producing data through samples, experiments, and simulations, Probability of  occurrence through foundations of inference, and the confidence of conclusions.
Culminating Activity: Final Project and Final Exam

Course No. 483
Computer Mathematics I

Half Year
Credit: 1/2 unit
Target Audience: New programming students
Prerequisite: None
This course is our beginning course in programming using the language True Basic.
True Basic is a modern version of BASIC which makes programming using sound and graphics much more simplified. This class offers the student the opportunity to be creative with their mathematics and thinking skills. YOU will tell the computer ‘what to do’ because YOU are in control. Some examples of programs students write are: simulation of the rolling of a pair of dice, writing of an interactive MadLib game, simulation of a baseball player at bat and a soccer player taking a penalty shot, just to name a few. Topics include: input, output, process, decision-making and looping commands. The use of subroutines and functions are incorporated into all programs. There is an introduction to subscripted arrays and the use of music and graphics. The course concludes with a final project.
Culminating Activity: Final project

Course No. 484
Computer Mathematics II

Half Year
Credit: 1/2 unit
Target Audience: Students wishing to continue Computer Mathematics I
Prerequisite: Computer Mathematics I
Computer Mathematics II is a continuation of the previous course. In addition to new commands, techniques of programming are emphasized. Those topics and related techniques include: arranging arrays, string manipulation, double subscripts, sequential and random access files. Computer I and II are required for admission into the Pascal survey course. This course ends in a final project.
Culminating Activity: Final project.