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# Mathematics

## Algebra I:

Algebra I is the first course in a sequence of three required high school courses designed to ensure career and college readiness. The course represents a discrete study of algebra with correlated statistics applications.

## Geometry:

Geometry is the second course in a sequence of three required high school courses designed to ensure career and college readiness. The course represents a discrete study of geometry with correlated statistics applications.

## Algebra II:

Algebra II is the culminating course in a sequence of three high school courses designed to ensure career and college readiness. It is designed to prepare students for fourth course options relevant to their career pursuits.

## Pre-Calculus:

Pre-Calculus is a fourth mathematics course designed to prepare students for calculus and other college level mathematics courses.

Advanced Math Decision Making is designed to follow the completion of Algebra II. The course will give students further experiences with statistical information and summaries, methods of designing and conducting statistical studies, an opportunity to analyze various voting processes, modeling of data, basic financial decisions, and use network models for making informed decisions.

### Statistical Reasoning:

Statistical Reasoning is a fourth mathematics course option for students who have completed Algebra II.  The course provides experiences in statistics beyond the GSE sequence of courses, offering students opportunities to strengthen their understanding of the statistical method of inquiry and statistical simulations. Students will formulate statistical questions to be answered using data, will design and implement a plan to collect the appropriate data, will select appropriate graphical and numerical methods for data analysis, and will interpret their results to make connections with the initial question.

Advanced Placement Statistics is an introductory course in statistics that follows the course outline developed by the College Board. The course covers the themes of exploring data, sampling and experimentation, anticipating patterns, and statistical inference. The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data.  Students are exposed to four broad conceptual themes.  One, students will explore data:  describing patterns and departures from patterns.  Two, students will study sampling and experimentation:  planning and conducting a study.  Three, students will learn to anticipate patterns:  exploring random phenomena using probability and simulation.  Finally, students will use statistical Inference: estimating population parameters and testing hypotheses.

Advanced Placement Calculus AB is designed for those students who have a thorough knowledge of college preparatory mathematics.  It provides a study of differential and integral calculus with applications.  This course will follow the guidelines set by the College Board Advanced Placement Program. Students should be able to work with functions represented in a variety of ways:  graphical, numerical, analytical, or verbal.  They should understand the connections among these representations. Students should understand the meaning of the derivative in terms of a rate of change and local linear approximation, and should be able to use derivatives to solve a variety of problems. Students should understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change, and should be able to use integrals to solve a variety of problems. Students should understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.

July 22, 2022

June 28, 2022