## Math

**Teachers and Courses****:**

**Mrs. Marcy Boyd**

marcyboyd@yorkcsd.org

Algebra/Trig., Calculus, and Statistics

**Mrs. Elizabeth Buckley**

eabuckley@yorkcsd.org

Algebra/Trig.

**Mrs. Julie Falk**

mfalk@yorkcsd.org

Math 7

**Mr. Michael Falk**

mfalk@yorkcsd.org

8th Grade Math, Consumer Math with Technology

**Ms. Brianna Amann**

bamann@yorkcsd.org

Algebra

*Points of Interest and Concern for Students and Parents:*

- AIS/Math Labs have been installed for students who have scored poorly (Level 1,2) on the State Math 8 test or failed Math A test. In addition, students that feel they need extra help on assignments, tests, etc., may be assigned a Math Lab. However, students assigned here through AIS must be given priority. AIS is a state requirement to give aid to students who may be in jeopardy of failing math.
- Starting with the students entering the Freshman Class (9th Grade) as of September 2001, New York State will require that all students will be required to take three years of mathematics and pass the Mathematics A Examination with a grade of 65 or higher in order to graduate from YCS. This examination will typically be administered after the student has studied high school mathematics two years. These students will be given a Regents Diploma. NYS will offer an "Advanced Regents Diploma", which will necessitate the successful completion of the Mathematics B Examination which will be online June 2004.
- Some changes may be made to accommodate the number of students enrolled.
- See Course Projection over the next two years.

****NOTE: Calculus would be offered Senior Year to those students who took Math 1-2 as eighth graders.**

*Course Descriptions*

**Integrated Algebra - 40 Weeks - 1 Credit**

Integrated Algebra is the first Math course taught in High School. (As of September 2007, all ninth grade students and Accelerated 8th-grade students must take and pass a regents exam in one of the following High School math courses: Integrated Algebra, Geometry, or Algebra II and Trigonometry. The regents exam will be in June of the same school year to gain a Regents Diploma). The topics in Integrated Algebra include: The number system, Operations and Algebraic Expressions and Operations, Ratio and Proportion, Geometric figures-area and volume, Trigonometry of the right triangle, Graphing linear functions and relations, Probability and Statistics.

**Integrated Geometry - 40 weeks - 1 credit**

Geometry is the second math course taught in High School. As of September 2007, all entering ninth grade students and accelerated eighth grade students must take and pass one regents exam in one of the following High School math courses to gain a Regents Diploma: Integrated Algebra, Geometry, or Algebra II, and Trigonometry. A student must pass two regents tests in math to receive an advanced regents diploma. All regent's exams will be in June of that same school year. The topics in Geometry include but are not limited to: geometric relationships, constructions, locus, informal and formal proofs, Transformational Geometry, and Coordinate Geometry.

**Algebra II**

Although an advanced class, Algebra II is built for those students who need more of a challenge than Consumer Math but feel the pace of Algebra II and Trigonometry may not suit them in their mathematical endeavors. Most topics will be discussed as they are in Algebra II and Trigonometry, with extended time spent on SAT preparation and the use of technology. The final exam at the conclusion will be local. Students, at the completion of this course, will either graduate or move to Algebra II and Trigonometry. Note - this is the first year in a two year sequence for Algebra II and Trigonometry.

**Algebra II, and Trigonometry (offered as GCC Credit MAT 136)**

The final Regents level math class in the "new" math program adopted by New York state will begin in the 2009-2010 school year. It provides for completion of the Advanced Regents Diploma but is expected to have many challenges. The pace is extremely rigorous and may change over the course of the coming years as teachers and state officials get the program in place. Understanding of topics previously taught is assumed. Graphics calculators are necessary for this class. Topics include, but are not limited to, functions, circles, conic sections Intermediate to Advanced Trigonometry, probability statistics, imaginary numbers and application problems from finance, physics, and pre-calculus. Recommended prerequisite for this class is an 85% in prior high school level math classes and Regents exams.

**Trigonometry Year 20 Weeks Fall**** -- Pending Board Approval**

Although an advanced class, Trigonometry is built for those students who have taken Algebra II or Algebra II with Trigonometry and need to pass the regents. The first ten weeks will focus on Trigonometry and the second ten weeks will prepare students to take the Algebra II with Trigonometry regents. Students who take this class and successfully pass this class may take Pre-Calculus in the spring.

**Consumer Math with Technology**

For the third year (or credit) of Mathematics, this course fills the New York State requirement. Topics to be discussed include banking, simple interest, consumer credit, insurance, taxes, and stocks and bonds. In addition, this course will include work on spreadsheets. Our main goal of Consumer Math is to provide student exposure to practical math applications.

**** Statistics—20 weeks - ½ credit (fall semester) (offered as GCC credit Mat 129)**

Students having completed the Regents requirements for graduation have the ability to take Statistics which is the next logical course of study for students and will also help them with their college requirements. Upon completion of an Elementary Statistics course, students are expected to be able to do a range of statistical computations, either by hand (using a scientific calculator for computations) on exam or, where possible using Minitab statistical software for a collected assignment. Graphing calculators are used daily. Writing assignments are incorporated into the explanation of mathematical topics

**** Precalculus - 20 weeks - ½ credit (spring semester) (offered as GCC credit Mat 140)**

Precalculus is a course offered for the student where a fourth course in mathematics is desirable. Prerequisite for this class is recommended to be an 80% on the Algebra II and Trigonometry class and Regents exam. The content is fundamentally that of Analytic Geometry and Advanced Algebra. One of the major topics studied is that of "function". A variety of different types of functions are given thorough treatment. The conic sections - the circle, ellipse, parabola, and hyperbola - are used in problem solving with an emphasis on "real world" examples. The concept of absolute value and its applications to equations and inequalities is treated in depth as well as inequalities of the rational nature and second-degree forms. Theory of equations, complete with the pre-solution analysis and a detailed method of solution of third and greater degree equations, is treated thoroughly. This course also allows time for an in-depth knowledge of graphing calculators, especially its practical applications to loans, mortgages, retirement accounts, and SAT preparation. The content is rounded out with the study of matrices, the methods of which are applied to the properties of mathematical systems, systems of equations, and everyday problems. Students may choose to enroll in Precalculus (MAT 140) for college credit through Genesee Community College. Successful completion of Precalculus results in 4 credit hours which are transferable to any college in the State University of New York system plus many other colleges and universities. Precalculus is a pre-requisite for Advanced Placement Calculus.

***A P. Calculus (AB Level) - 40 weeks - 1 credit** **(offered as Alfred State Credit MATH1084 and MATH2094).**

The calculus course is definitely a subject geared to the student who loves the study of mathematics and/or anticipates a college program emphasizing Mathematics and Science. Fundamentally, the content of Calculus gives extensive treatment to the limit concept that is the backbone of the two opposite aspects of the course - differentiation and integration. The study continues by defining the derivative, covering several rules of differentiation, and many applications. Finally, integration is defined, techniques of integration are pursued, and again many application examples. Throughout the course, careful attention is given to the pacing of events so as to ensure that the student has a thorough understanding of the most important and fundamental aspects of Calculus. Students may choose to apply for college credit for Calculus 1. Successful completion of the class results in the granting of 8 credit hours that are transferable to many colleges and universities. Students will also take the Advanced Placement Examination in May that can result in additional college credits being earned. The cost of the examination is the responsibility of the student.

- Students who are accelerated in Math will be required to take and successfully complete Algebra, Geometry, Algebra II and Trigonometry as well as Pre-calculus prior to admittance into Advanced Placement Calculus
- Students who plan to pursue a math and/or science related program in college will also be required to take and successfully complete Algebra, Geometry, Algebra II and Trigonometry, as well as Precalculus as pre-requisites for admittance into Advanced Placement Calculus. The High School Principal will make any exceptions to this requirement after consultation with the Senior High Guidance Counselor and Math Department Coordinator.
- Students taking A.P. Calculus who chose to take the A.P. Exam are responsible to pay the fee in October for the A.P. Exam in May.

***AP Statistics 40 weeks - 1 credit (offered as Alfred State Credit Math 2124)**

This relatively new course designed for those students who either did not take the semester length Statistics class or after taking it, decided that they wanted more. This is a forty week class that will reinforce topics previously taught as well as introduce topics specific to the AP exam. Students will use graphing calculators, (84 silver edition and the N'Spire CAS will be used in class). Please realize that AP level Statistics has a large emphasis (45%) on student ability to **write** at college level. For this reason, students will be writing and submitting statistical write-ups and papers on a regular basis.

**AIS***/Math Labs**

Students may be enrolled in extended math class. With new New York State standards, students with poor state test performances on certain tests are required by law to be in AIS (Academic Intervention Services). In addition, any student may be assigned to labs for extra help, depending on the availability of such labs. Students may be assigned by a parent/guardian, a math teacher, or they may assign themselves. Furthermore, AIS/Math Lab may be a temporary assignment to complete a test, math work, etc. ***IT IS IMPORTANT TO NOTE THAT AIS STUDENTS ARE GIVEN PRIORITY BECAUSE OF STATE REQUIREMENTS.

**Computer Programming - 40 weeks - 1 credit**

This course is personalized to student needs and intentions for the future. This course is an introduction to top down design and basic problem solving using current high level visual languages. Concepts of programming structures, procedures and functions, arrays, records, files, and pointers; sorting and searching techniques, recursion, graphics and lab applications will be topics of discussion. We will work toward the opportunity for registered students to be eligible to take the Advanced Placement Computer Science exam, should that be their choice. In such event, all registration expenses are the responsibility of the student. Available for GCC credit

**Fundamentals of Engineering: Prerequisite Math B (4/5 or 5/6)** -- **Pending Board Approval**

This is a course to introduce students to the fundamentals of engineering and the various opportunities in the field of engineering. Students enrolled in this course will discover career options, learn new technology, develop essential engineering skills and complete various projects relating to engineering. A team approach to learning will be used throughout this course. This course will integrate field trips, guest speakers, lab exercises and other opportunities to enhance the application of the principles being taught. Students will participate in engineering related competitions in this course.