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### Mathematics

Math Pathways Grades 7-12 (includes links to Curriculum Maps and the Program of Studies)

Math Skills Summary Grades 6-8

Math Skills Summary Integrated Math - Algebra II

COURSES

Algebra I
Algebra I will utilize the language of mathematics to enable students to express problems in equation form, to represent problems graphically and to find solutions. Emphasis is placed on problem solving techniques.  The student electing Algebra I is expected to have a strong background in the basic operations of arithmetic, including decimals, fractions and signed numbers.  This course will present an overview of math topics in preparation for state testing.

Honors Algebra I
The Honors Algebra I course parallels the Algebra I course with greater emphasis being placed on practical applications and the theoretical aspects of algebra.  More in-depth problems and supplementary topics will be studied.

Geometry
This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions, including calculating perimeter, area and volume. Points, segments, planes, triangles, polygons, circles and solid figures are examined and constructed. Basic geometric theorems are proved. The studies of transformations and right triangle trigonometry are introduced. Inductive and deductive thinking skills are introduced in problem solving and writing proofs. This course also uses probability to evaluate outcomes.

Honors Geometry
In this course, students cover the same topics included in regular Geometry. The major difference between this course and regular Geometry is the depth to which the topics are investigated, and the pace. The student will be expected to prove answers with logical reasoning.

Algebra II
This course is designed to build on algebraic and geometric concepts. A deeper understanding of systems, rational expressions, complex numbers, matrix operations, and linear, quadratic, exponential and polynomial functions will be developed. This class will prove and apply trigonometric identities, build, analyze and interpret functions, and use graphs and probability to make real-life decisions.

Honors Algebra II
In this course students cover topics included in the regular Algebra II course but at a faster pace and in greater depth. Emphasis will be placed on practical applications and modeling.

Advanced Algebra and Statistics
This course is for students who have completed Algebra II. Topics will include an introduction to statistics and probability where students will explore data, plan a statistical investigation, anticipate patterns using probability and predict outcomes.  In addition, students will reinforce basic Algebra II skills such as factoring polynomials, graphing functions and basic trigonometry.

Pre-Calculus
This course will use the concepts and skills learned in Algebra and Geometry to study functions such as polynomial, trigonometric (including circular functions), and transcendental. Students will also study exponential functions and their inverses, as well as logarithms and their properties.

Honors Pre-Calculus
This course explores polynomial, transcendental, and especially trigonometric functions.  Problem solving and graphic interpretations will be stressed. This course is based on the pre-calculus topics required for further study in mathematics.

Honors Calculus
This course will expand the concepts begun in the Pre-Calculus courses. After a study of limits and continuity the course will then move to differentiation of algebraic, trigonometric and transcendental functions. Implicit differentiation and graphing techniques will then be followed by applications involving optimization and related rates. Following this the course will move onto integration of the types of functions listed above.

Advanced Placement Calculus (AB)
This course covers a college level single-variable calculus curriculum.  Assuming a strong background in functions, the course will begin with the concept of limits and will proceed to differentiation and integration of algebraic, trigonometric, and transcendental functions, as well as the applications of these concepts.  Students will be required, and will be prepared, to take the Advanced Placement Calculus AB Examination, with the goal of earning credit for and/or placement beyond a semester of college calculus.  There is a fee to take this exam. Each student will be expected to bring a graphing calculator to class.

This course covers a college level statistics curriculum.  It introduces students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students will learn how to describe patterns, sample and experiment, plan and conduct a study, explore random phenomena using probability and simulations, estimate population parameters and test hypotheses. Students will be required, and will be prepared, to take the Advanced Placement Statistics Examination, with the goal of earning credit for and/or placement beyond a semester of college statistics.  There is a fee to take this exam.

Math Lab
This course is a semester-based elective that a student can take along with a full-time, regularly scheduled math class. This course will teach students test-taking strategies and reinforce the skills necessary to succeed on the Mathematics MCAS. Particular emphasis will be placed on number sense and operations, geometry, measurement, patterns, relations, data analysis, statistics, and probability. It is also designed to provide support for those students who are elevated from college prep to honors math.

Online Courses:

Gateway Math

Math You Can Use In College

Mathematical Reasoning and Logic

Number Theory:  Patterns, Puzzles, and Cryptography

Pre-AP Calculus

Pre-AP Statistics

Statistics and Business Quality Management

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