## Mathematics Department Course Descriptions

**Graduation Requirements**

- Graduation from any New York City High School requires completion of
**six credits**in mathematics and**score a 65 or higher**on the Algebra 1 regents. This is based on the**three-year common core regents sequence**of Algebra 1, Geometry, and Algebra 2.

- Students who wish to
**qualify for the Advanced Regents Diploma**must**complete the entire common core regents sequence**and**score a 65 or higher**on each of the Algebra 1, Geometry, and Algebra 2 regents.

**Three-Year Common Core Regents Sequence**

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**Each course in the three-year common core regents sequence is intended for one-year. This means students are expected to finish the course in June and take the corresponding regents examination. Enrolled students are expected to obtain a graphing calculator for use in class, at home, and during the regents.**

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**Algebra 1**: The goal of Algebra 1 is to develop strong computational skills in working with different types of functions. Algebra 1 will overview number systems as well as techniques for applying these number systems to the study of solutions to equations. The core focus will be on how solutions to equations are translated into functions. Representation of equations by functions and their modeling properties will be heavily emphasized. In addition, different computational techniques used to solve equations will be covered.

**Geometry**: The goal of Geometry is to develop strong skills in understanding how transformations affect geometric figures. Geometry will overview Euclidean geometry from its definitions and corresponding theorems. In addition, the trigonometry of triangles and the unit circle will be discussed in relation to angle measurements and representation of models by geometric figures. Development of proof techniques will be heavily emphasized.

**Algebra 2**: The goal of Algebra 2 is to prepare to study Precalculus. Algebra 2 will focus on functions from an algebraic and geometric perspective. A key emphasis in Algebra 2 will be the notion of solving an equation completely. This extends ideas from Algebra 1. In addition, Algebra 2 will extend the concept of transformations in Geometry to representations in other algebraic forms. Algebra 2 will join ideas from Algebra 1 and Geometry together to form a complete study of a variety of functions.

**Elective Courses**

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**Elective courses are available to students who complete certain regents courses. These courses can contribute to the six credits needed for graduation, but are not a substitute for any regents course. As with regents courses, electives are one-year and students are expected to complete the course in June.**

**SAT Mathematics**: SAT Mathematics is a class designed to prepare students (**typically juniors**) for the mathematics portion of the SAT Exam offered by the College Board who have**completed through regents Geometry**. The class will cover the necessary Algebra 1, Geometry (including Trigonometry), and Algebra 2 that is commonly found on the SAT. Throughout the class, strategies for time management, as well as, understanding the grading structure of the SAT will be emphasized. Students taking this course are expected to work hard, keeping up with challenging class-work and homework, as well as, study for regular unit exams. Exams in SAT Mathematics are all modeled after the SAT, meaning that they are timed, multiple-choice, and have no partial credit. Each student in this course is expected to have a graphing calculator to use both in class, at home, and during the SAT.**Algebra 2 is strongly recommended (but not required) while taking this course**.

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**Statistics**: Statistics is a non-regents course. It is an advanced mathematics course that is focused on preparing juniors and seniors for the type of mathematics they will likely encounter when in college. In this course, you will study both probability and statistics. The emphasis will be on how various statistical distributions are used in solving problems that underlie a variety of real-world situations where probability plays a key role. In this class, students will learn how to read statistical tables, as well as, learn how to apply this knowledge to solve challenging problems. Group work will make up a substantial portion of the class structure. Each student in this class is expected to have a graphing calculator and a computer with spreadsheet software. Students taking this course are expected to work hard, keeping up with challenging class-work and homework (up to one-hour nightly), as well as, study for regular exams.

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**Prerequisites:** **65 or higher in Algebra 2 class (both semesters) and regents**

**Precalculus**: Precalculus is a non-regents course. It is an advanced mathematics course that is focused on preparing juniors and seniors for the type of mathematics they will likely encounter when in college. In this course, you will study advanced techniques in algebra that relate to functions, inverse functions, equations, and inequalities. In addition, you will study trigonometry based on triangles and the unit circle. Finally, this course will end with an introduction to topics found in first-year college Calculus. One major goal in this course is to prepare students to think analytically. For this reason,**calculators will not be used**. Students taking this course are expected to work hard, keeping up with challenging class-work and homework (up to one-hour nightly), as well as, study for regular exams. There is summer homework that accompanies this course.

**Prerequisites: 85 or higher in Algebra 2 class (both semesters) and regents; Teacher **

**recommendation; Transcript review in Mathematics and Science**

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**Advanced Placement Calculus BC**: Advanced Placement Calculus BC is a non-regents course. This is a college-level Calculus course offered by the College Board. Students who complete this course and separately pass the AP exam in May with a minimum score of 3 out 5 have a chance to earn college credit. In this course, we will study Single Variable Calculus. This means the core topics of Limits, Derivatives, Applications of Derivatives, Integration, Applications of Integration, Separable Differential Equations, and Infinite Series including Taylor and Maclaurin series. Each student in this course is expected to have a graphing calculator to use in class, at home, and for the AP exam. Students taking this course are expected to work hard, keeping up with challenging class-work and homework (up to one-hour nightly), as well as, study for regular exams.**Enrolling in this class is a one-year commitment. This means that we expect you to complete the entire course and take the AP exam in May**. There is a fee for AP exam (determined by the College Board). Fee-waivers or fee-reductions may be available. Students should speak with their college adviser about how to determine waiver and reduction eligibility. There is summer homework that accompanies this course.

**Prerequisites: 90 or higher if coming from Algebra 2 class (both semesters and regents; 85 or higher **

**if coming from Precalculus class (both semesters); Teacher recommendation; Transcript review in **

**Mathematics and Science**