Long Lake Central School District

This course provides the opportunity for students to examine: Algebra and geometry preparatory concepts and skills. Strategies for collecting, analyzing, and interpreting data. Number concepts and skills with a focus on using rational numbers and understanding proportional reasoning.

This course provides the opportunity for students to examine: Algebra and geometry preparatory concepts and skills. Strategies for collecting, analyzing, and interpreting data. Number concepts and skills with a focus on using rational numbers and understanding proportional reasoning.

Algebra, 1 credit
This course will assist students in developing skills and processes to be applied using a variety of
techniques to successfully solve problems in a variety of settings. Students will learn: systems of equations,
all types of linear equations in one variable, quadratic functions with integral coefficients and roots as well
as absolute value and exponential functions, converting within measurement systems, central tendency and
visual representations of data, correlation and causation and the probability of events including
independent, dependent and mutually exclusive events.

Algebra II, 1 credit
Algebra 2 / Trigonometry is the capstone course of the three units of credit required for a Regents
diploma. Within this course, the number system will be extended to include imaginary and complex
numbers. The families of functions to be studied will include polynomial, absolute value, radical,
trigonometric, exponential, and logarithmic functions. Students will also learn: direct and indirect
variations, systems of equations solved graphically and algebraically, rewriting mathematical expressions
into multiple equivalent forms, measures of dispersion and the analysis of regression, correlation of
coefficients, arithmetic and geometric sequences and series, binomial experiments, probability theory and
the normal probability distribution, right triangle trigonometry and the use of trigonometric equations and
identities will also be investigated.

Geometry, 1 credit
Geometry is intended to be the second course in mathematics for high school students. Within this
course, students will have the opportunity to make conjectures about geometric situations and prove in a
variety of ways, both formal and informal, that their conclusion follows logically from their hypothesis.
This course is meant to employ an integrated approach to the study of geometric relationships. Students
will justify geometric relationships and properties of geometric figures, congruence and similarity of
triangles by using appropriate theorems, and rotations, reflections, translations, and glide reflections and
coordinate. A major emphasis of this course is to allow students to study geometric situations. It is
intended that students will use the traditional tools of compass and straightedge as well as dynamic
geometry software that models these tools more efficiently and accurately, to assist in these studies.

Pre-Calculus (Math 12), ½ credit
This course is designed for the math student that wishes or needs extra math material past the topics
offered in Algebra II. This course will attempt to bridge the gap between regular high school mathematics
and introductory college level calculus. Topics to be covered will include sequences, series, functions,
vectors, matrices, polar coordinates and advanced algebra. PREREQUISITE: Successful completion of
Algebra II or the permission of the instructor.

Calculus, ½ credit
This course is designed as an introductory course in college level calculus. Topics will include the limit
process, continuity, functions, advanced algebra, derivatives and their applications. PREREQUISITE:
Successful completion of pre-calculus (math 12) or the permission of the instructor