Mathematics

Algebra I

Credit: 1 Credit (full year course)

*Fulfills NYS Requirement for Graduation

**Bilingual course available

Prerequisite: Completion of Transition to Advanced Math

Course Description: The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades. This course deepens and extends the understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibits a linear trend, while students engage in methods for analyzing, solving, and using quadratic functions. The mathematical Practice Standards apply throughout each course and together with the content standards, prescribe those students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problems. A graphing calculator (T184+) will be used extensively in this course. Students are required to take the Algebra I Core Regents examination.

Algebra II

Credit: 1 Credit (full year course)

*Fulfills NYS Requirement for Graduation

**Bilingual course available

Prerequisite: Completion of Geometry

Course Description: This course builds on students work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, and radical functions. Students work closely with the expressions that define the functions and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe those students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. Students are required to take the Algebra II Core Regents examination.

Financial Algebra

Credit: 1 Credit (full year course)

Open to students in grades 10-12

*Fulfills NYS Requirement for Graduation

**Bilingual course available

Course Description: Advanced Algebra with Financial Applications applies Algebra I concepts in practical business and personal finance contexts. Aligned to the Common Core State Standards, Financial Algebra helps students achieve success by incorporating aspects of Algebra I, Algebra II, and Geometry topics. Financial Algebra encourages students to be actively involved in applying mathematical ideas to their everyday life – credit, banking insurance, the stock market, independent living and more! The 2014 edition aligns and applies the Common Core State Standards (CCSS). Each lesson clearly identifies domains and standards that are covered in addition to CCSS Warm-up activities to kick off the instruction.

Foundations of Geometry

Credit: 1 Credit (full year course)

*FulfillsNYS Requirement for Graduation

**Bilingual course available

Prerequisite: Completion of Algebra I

Course Description: The fundamental purpose of the course in Geometry is to formalize and extend students' geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Crucial differences exist between this Geometry course and the historical approach taken in Geometry classes. Close attention will be paid to the introductory content for the Geometry conceptual category found in the high school CCSS. The Mathematical Practice Standards apply throughout this course and together with the content standards prescribe those students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. A graphing calculator (T184+) will be used extensively during the course. Students are required to take the Geometry Regents examination.

Geometry

Credit: 1 Credit (full year course)

*FulfillsNYS Requirement for Graduation

**Bilingual course available

Prerequisite: Completion of Algebra I and Foundations of Geometry

Course Description: The fundamental purpose of the course in Geometry is to formalize and extend students' geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Crucial differences exist between this Geometry course and the historical approach taken in Geometry classes. For example, transformations are emphasized early in this course. Close attention will be paid to the introductory content for the Geometry conceptual category found in the high school CCSS. The Mathematical Practice Standards apply throughout this course and together with the content standards prescribe those students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. A graphing calculator (T184+) will be used extensively during the course. Students are required to take the Geometry Regents examination.

Intermediate Math Concepts

Credit: 1 Credit (full year course)

*Fulfills NYS Requirement for Graduation

**Bilingual course available

Course Description: Ideal for students who were not successful on their Algebra I Regents exam, but needs a mathematics elective as well as prepare for a retake of the Algebra I regents exam.

Pre-Calculus

Credit: 1 Credit (full year course)

*FulfillsNYS Requirement for Graduation

Prerequisite: Completion of Algebra II

Course Description: This course includes a study of angles and their trigonometric functions, trigonometry of right triangles, applications and graphs of trigonometric functions, coordinate geometry, functions and their graphs, conic sections, exponents, rational expressions, interval notations and an introduction to limits linear functions, theory of polynomials, sequences and series, matrices, analytical geometry, differentiation, and integration. Students will learn to solve problems using graphing calculators and be required to graph functions and solve problems without the use of technological devices. District honors eligibility is required. Students may sign up for 4 hours of college credit through Nassau Community College.

Statistics:  Introduction to Statistics

Credit: 1 Credit (full year course)

*Fulfills NYS Requirement for Graduation

Prerequisite: Completion of Algebra I

Course Description: The elective course will provide a hands-on approach to statistical methods. Students will collect, analyze, display, and make inferences about data. Using technology such as Excel and Google Docs, students will use descriptive statistics to communicate their results from student surveys and project-based experiences. Statistics, testing hypotheses and estimating parameters will also be topics discussed in this course. Proficiency will be measured by class work, problem solving, homework and comprehensive examinations. Students who complete this course and Algebra II will be well-prepared to be successful in A.P. Statistics.

Transition to Advanced Mathematics

Credit: 1 Credit (full year course)

*Fulfills NYS Requirement for Graduation

**Bilingual course available

Course Description: Students often struggle with mathematical reasoning, data analysis, probability, numbers and integers as well as rational numbers; measurement, patterns, and functions. Introduction to Algebra reteaches these methods to reinforce skills as students prepare for Algebra I. The author assumes that your students have received instruction in these topics in years prior to TAM, and the purpose of this unit is to demystify popular algorithms, while incorporating new concepts. These units were written to invoke an important level of multiplicative thinking for students. Students are taught to think additively throughout elementary school, and this additive thought process transcends teaching at the middle school level. These units attempt to transition students to be both additive and multiplicative (absolute and relative) thinkers. This will facilitate future understanding of rates and proportional reasoning.