# Mathematics

Course placement is determined by student academic performance and teacher recommendation.

## College Credit Options

### *CALCULUS I (Fall) 1/2 Unit 1 Semester

#### SUNY ADIRONDACK— MAT 131

### *CALCULUS II (Spring) 1/2 Unit 1 Semester

#### SUNY ADIRONDACK— MAT 132

4 College Credits (for each course)

These courses are SUNY Adirondack courses taught at South Glens Falls High School. These are differential calculus courses taught from a numeric, graphic and algebraic perspective. Topics include but are not limited to: functions, graphing, average/instantaneous rates of change, limits, derivatives, anti-derivatives, optimization, analytic geometry and the definite integral. Students assume the cost of various materials and the tuition. A graphing calculator is required. Students must meet SUNY Adirondack’s Early

Admission requirements, which may include meeting required score on Accuplacer® exam.

PREREQUISITES: Students must earn at least a 75 in Precalculus and on the Algebra 2 Regents Examination

### *AP COMPUTER SCIENCE A

1 Unit 1 Year

Students taking the AP course must take the AP examination.

OPEN TO STUDENTS IN GRADE 12

AP Computer Science A introduces students to computer science with fundamental topics that include problem solving, design strategies and methodologies, organization of data (data structures), approaches to processing data (algorithms), analysis of potential solutions and the ethical and social implications of computers. AP guidelines provide a framework for the course and require rigor at a college level. Students should be willing to accept the challenge of the coursework because they will have a significant amount of work outside of class time. There is a non-refundable AP exam fee.

## Honors Courses

### GEOMETRY HONORS

1 Unit 1 Year

This honors-level course is aligned with the Common Core Learning Standards and prepares students for the Geometry Common Core Regents Exam. Topics include congruence, proofs, constructions, similarity and right triangles, measurement and volume, coordinate geometry and circle geometry. Students will take the Geometry Common Core Regents exam in June, which will count as one-fifth of the student’s overall average.

## Core Courses

### ALGEBRA

1 Unit 1 Year

This one-year course is aligned with the Common Core Learning Standards and prepares students for the Algebra Common Core Regents Examination. Topics include solving linear equations and inequalities, systems of linear equations/inequalities, absolute value functions, quadratic functions, exponential functions, piecewise functions, radical expressions and functions, transformations of functions, polynomials, statistics, data analysis and arithmetic sequences. Students will take the Algebra Common Core Regents Examination in June, which will count as one-fifth of the student’s overall average.

### ALGEBRA WITH LAB

1 Unit 1 Year

This class will have additional time built into the schedule to help students meet the challenges of this Regent’s level math class. The purpose of this course is to cover the Algebra curriculum in one year and allow for additional time for practice and activities to help strengthen math skills. This course is aligned with the Common Core Learning Standards and prepares students for the Algebra Common Core Regents Examination. Topics include solving linear equations and inequalities, systems of linear equations/inequalities, absolute value functions, quadratic functions, exponential functions, piecewise functions, radical expressions and functions, transformations of functions, polynomials, statistics, data analysis and sequences. Students will take the Algebra Common Core Regents Examination in June, which will count as one-fifth of the student’s overall average.

### ALGEBRA – PART I

1 Unit 1 Year

This is the first year of a two-year sequence that prepares students for the Algebra Common Core Regents Examination that will be taken in June of the second year (during the Algebra Part II course). This course is aligned with the Common Core Learning Standards. Topics include functional notation, rational numbers, linear equations and

proportional reasoning, linear functions and operations of polynomials. A local final exam will be given in June.

### ALGEBRA – PART II

1 Unit 1 Year

This is the second year of a two-year sequence that prepares students for the Algebra Common Core Regents Examination that will be taken in June. This course is aligned with the Common Core Learning Standards. Topics include factoring, quadratic functions, exponential functions, statistics, data analysis and a review of functions.

Students will take the Algebra Common Core Regents Examination in June.

### GEOMETRY

1 Unit 1 Year

This course is aligned with the Common Core Learnings Standards and prepares students for the Geometry Common Core Regents Exam. Topics include congruence, proofs, constructions, similarity and right triangles, measurement and volume, coordinate geometry and circle geometry. Students will take the Geometry Common Core Regents

Examination in June, which will count for one-fifth of the student’s overall average.

### GEOMETRY WITH LAB

1 Unit 1 Year

This class will have additional time built into the schedule to help students meet the challenges of this Regent’s level math class. The purpose of this course is to cover the geometry curriculum in one year and allow for additional time for practice and activities to help strengthen math skills. This course is aligned with the Common Core Learning Standards and prepares students for the Geometry Common Core Regents Examination. Topics include congruence, proofs, constructions, similarity and right triangles, measurement and volume, coordinate geometry and circle geometry. Students will take the Geometry Common Core Regents Examination in June, which will count as one-fifth of the student’s overall average.

### FOUNDATIONS IN GEOMETRY

1 Unit 1 Year

This course introduces students to the basic concepts in geometry. Topics may include transformations, triangle relationships, measuring in the plane and space, reasoning and parallel lines, quadrilaterals and similarity. NOTE: This course does not qualify as a NCAA core course, and therefore cannot be used for NCAA initial-eligibility certification.

### ALGEBRA 2

1 Unit 1 Year

This course is aligned with the Common Core Learning Standards and prepares students for the Algebra 2 Common Core Regents Examination. Topics include linear functions, quadratic functions, polynomials, radical functions, exponentials, logarithmic functions, rational functions, sequences, series, trigonometry, probability and statistics.

Students will take the Algebra 2 Common Core Regents Examination in June, which will count as one-fifth of the student’s overall average.

### ALGEBRA 2 WITH LAB

1 Unit 1 Year

This class will have additional time built into the schedule to help students meet the challenges of this Regent’s level math class. The purpose of this course is to cover the Algebra 2 curriculum in one year and allow for additional time for practice and activities to help strengthen algebra skills. This course is aligned with the Common Core Learning Standards and prepares students for the Algebra 2 Common Core Regents Exam. Topics include linear functions, quadratic functions, polynomials, radical functions, exponentials, logarithmic functions, rational functions, sequences, series, trigonometry, probability and statistics. Students will sit for the Algebra 2 Common Core Regents exam in June which will count as one-fifth of the student’s overall average.

### FOUNDATIONS IN ALGEBRA 2

1 Unit 1 Year

This course introduces students to advanced topics in Algebra 2. This course is not designed to cover all the concepts required for the Algebra 2 Common Core Regents Examination. Topics may include linear functions, quadratic functions, exponential and logarithmic functions, rational functions, trigonometry, sequences, series, probability and statistics.

NOTE: This course does not qualify as a NCAA core course, and therefore cannot be used for NCAA initial-eligibility certification.

### TOPICS IN MATHEMATICS

1 Unit 1 Year

This course provides students with the opportunity to earn a third unit of credit in mathematics. The intent is to show students how and where mathematics can be found in the world around us. Topics may include exponential functions, quadratic equations, number systems, graph theory, financial math, logic, probability and statistics.

NOTE: This course does not qualify as a NCAA core course, and therefore cannot be used for NCAA initial-eligibility certification.

### FINANCIAL ALGEBRA

1 Unit 1 Year

This course is designed as a senior-level math course that will use mathematics to give students the tools to become financially responsible young adults. The course employs algebra, precalculus, probability and statistics, and geometry to solve financial problems that occur in everyday life. Real-world problems in credit, banking, auto insurance, mortgages, employment, income taxes and budgeting are solved by applying the relevant mathematics. Projects, computer spreadsheets and graphing calculators are key components of this course.

NOTE: This course does not qualify as a NCAA core course, and therefore cannot be used for NCAA initial-eligibility certification.

### FOUNDATIONS IN PRECALCULUS

1 Unit 1 Year

This is an upper-level course that uses an applied approach to teach advanced math topics using technology. Topics may include functions, sequences, advanced work in algebra, sequences, matrices and some discrete math topics.

### PRECALCULUS

1 Unit 1 Year

This course is designed as a preparatory course for Calculus. The main focus of the course is the study of functions. Other topics of study include sequences, series, advanced work in algebra, parametric equations, limits and continuity of functions. Technology is integrated throughout the course. A graphing calculator is required for this course. The recommendation is a TI-84 Plus calculator. A local final exam will be given in June.

### INTRODUCTION TO STATISTICS

1/2 Unit 1 Semester

This course is a college-preparatory course that will introduce students to the major concepts and skills used in Statistics. The students will be introduced to the tools for collecting, analyzing and drawing conclusions from data. Students are exposed to broad conceptual themes that may include:

- 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

A local final exam may be given at the conclusion of the course in January and June.

NOTE: This course does not qualify as a NCAA core course, and therefore cannot be used for NCAA initial-eligibility certification.

### COMPUTER SCIENCE 1 (Fall)

1/2 Unit 1 Semester

### COMPUTER SCIENCE 2 (Spring)

1/2 Unit 1 Semester

OPEN TO STUDENTS IN GRADES 11-12

This half-year course introduces students to computer science with fundamental topics that include programming, computer commands, variables and formulas, loops and arrays. Students will be introduced to the Python programming language and use this platform to explore programming techniques.

NOTE: This course does not qualify as a NCAA core course, and therefore cannot be used for NCAA initial-eligibility certification.

### MATH SAT PREP

No Credit

OPEN TO STUDENTS IN GRADES 11 AND 12

Math SAT Prep is designed to help prepare students for the SAT test. In addition to reviewing the mathematical skills assessed on the SAT test, students learn test-taking strategies specific to the exam. There will be an emphasis placed on reading and understanding questions to identify key facts needed for problem solving. Students will also be engaged in online learning sessions. Material includes samples with explanations, practice tests and study resources. Independent practice is followed by guided collaborative review. Upon successful completion, students will possess the tools necessary to complete the SAT to the best of their ability.