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Kings Bay Y

High School (Grades 9-12)

Algebra I (Regents)

Intended to formalize and extend the mathematics learned in middle school; this class includes five critical areas: Relationships between quantities and reasoning using equations and their graphs, Linear and exponential functions, Algebraic fractions, exponents, radicals, and quadratic equations, Polynomials, Modeling with equations and functions, Factoring, Right triangle trigonometry, Descriptive statistics

Geometry (Regents)

This is the second course in the NYS Mathematics Regents program and will include the study of: Congruence and similarity, Proofs and applications, Trigonometry, Coordinate geometry, Circles

Algebra II (Regents)

This course completes the math curriculum outlined by the NYS Regents standards. Topics include: The study of higher-degree polynomial, rational, and radical relationships, Trigonometric functions, numerical trigonometry, solving triangles, Factoring, Solving simultaneous linear equations and quadratic equations, Exponentials, and logarithms, Drawing inferences and conclusions from data

Precalculus

This course prepares students for the study of advanced mathematics and consists of: Trigonometry, Linear regression, Conic sections, Cartesian and polar coordinate geometry and their respective graphing techniques, Analyzing, graphing, and solving higher degree equations, Sequences, Series, and Limits, Derivatives and Integrals with limited applications to maximum, minimum, area and volume problems, A working knowledge of the real and complex number systems

Calculus

The primary objective of this course is to give substantial training in differential and integral calculus with sufficient application to bring out the meaning and importance of the subject.

Topics include: Analytic geometry review, Limits, Differential and integral calculus with applications to maximum, minimum, area, and volume problems.

AP Calculus AB

The primary objective of this course is to give substantial training in differential and integral calculus with sufficient application to bring out the meaning and importance of the subject.  The course is college-level and will include the following topics: Analytic Geometry review and extension, Limits, Differential and integral calculus of algebraic and transcendental functions, Application of differential and integral calculus to maximum, minimum, area, and volume problems

AP Calculus BC

The class covers all of the material of AB Calculus in greater depth as well additional topics.  This college-level course emphasizes a graphical and analytical instructional approach that focuses on: Analytic Geometry review and extension, Limits, L-Hopital’s rule, Sequences and Series, Differential and integral calculus of algebraic and transcendental functions, Application of differential and integral calculus to maximum, minimum, area and volume problems

AP Statistics

AP Statistics is divided into four major themes:

1)   Exploratory analysis

Exploratory analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns

2)   Planning a study

In planning a study, data must be collected according to a well-developed plan if valid information on a conjecture is to be obtained

3)   Probability

Probability is the tool used for anticipating what the distribution of data should look like under a given model

4)   Statistical inference

Statistical inference guides the selection of appropriate models

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