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Math

ALGEBRA I (15 Credits)

Algebra I is designed to give students an opportunity to develop skills needed to be successful in real life, work and careers, future math courses, and state and national testing. Topics include the study of properties and operations of the real number system; evaluating rational algebraic expressions; solving and graphing first degree equations and inequalities; translating word problems into equations; solving systems of linear equations; operations with and factoring of polynomials; and solving simple quadratic equations.

ALGEBRA I HONORS (15 Credits)

Algebra I Honors is designed for students who have been introduced to beginning of Algebra I concepts. They will deepen their understanding of these concepts and proceed to develop skills needed to be successful in real life, work and careers, future math courses, and state and national testing. Topics include the study of evaluating rational algebraic equations; in-depth study of functions; translating word problems into equations; solving systems of equations; operations with and factoring of polynomials; laws of exponents; solving quadratic equations; sequences; introduction to exponential functions; and constructing and comparing linear, quadratic, and exponential models to solve problems.

Pre-requisite skills: properties and operations of the real number system; and solving and graphing first degree equations and inequalities.

ALGEBRA II HONORS (15 Credits)

Algebra II is designed for students who have mastered Algebra I. Students will deepen their critical thinking and reasoning skills as it relates to mathematical concepts. They will apply their skills to real life situations. Topics include irrational expressions; laws of exponents; factoring of rational expressions; solving and applying systems of linear and quadratic equations; graphing of constant, linear and quadratic equations; properties of higher degree equations; rational exponents and radical functions; and trigonometry to solve problems.

Pre-requisite: properties and operations of the real number system; solving and graphing first degree equations and inequalities; manipulate literal equations; and ability to solve systems of equations.

PLANE GEOMETRY/HONORS (15 Credits)

This course emphasizes an abstract, formal approach to the study of geometry, including topics such as, properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system, including the study of postulates and theorems; rules of congruence, similarity, parallelism and perpendicularity; rules of angle measurement in triangles; area, surface area, and volume; coordinate geometry and transformational geometry. Students will experience concepts through real world applications.

Pre-requisite: Successful completion of Algebra I, Algebra I Honors or Algebra II Honors.

ALGEBRA II (10 Credits)

Algebra II is designed for students who have successfully completed Algebra I and Geometry. Topics include irrational expressions; factoring of rational expressions; graphing of constant, linear and quadratic equations; properties of higher degree equations; rational exponents and radical functions; and trigonometry.

Pre-requisite: Successful completion of Algebra I and Geometry.

PRE-CALCULUS/HONORS (10 Credits)

Pre-Calculus is designed to prepare the student for college-level Calculus. This course includes the concepts of polynomial, rational, exponential, logarithmic, and trigonometric functions, analytic trigonometry and sequences. Topics are developed both algebraically and graphically. Students will be challenged to write, verbalize, and use critical thinking skills to solve problems.

Pre-requisite: Successful completion of Algebra II and Geometry. Students on the honors track will take this course in the junior year. All other students will take this course in senior year.

CALCULUS (10 Credits)

This course develops the student’s understanding of the fundamental concepts of calculus and provides experiences with its methods and applications. The course emphasizes a multi-representational approach to calculus, with concepts, results and problems being expressed geometrically, numerically, analytically, and verbally. Topics include functions, graphs and limits, derivatives, and integrals. Graphing calculators are used extensively throughout the course.

Pre-requisite: Successful completion of Pre-Calculus.

CALCULUS AB ADVANCED PLACEMENT® (10 Credits)

This course follows the level of theory and rigor prescribed by the Advanced Placement Program of the College Board. Same topics are covered as in the Calculus course with a deeper and more comprehensive understanding of concepts. Additional expectations include completion of practice problems from previously administered Advanced Placement Calculus AB Exams. Students enrolled in Advanced Placement Calculus AB® are prepared to take the Advanced Placement Calculus AB® Exam. This allows students the opportunity to earn college credit or advanced standing at most of the nation’s colleges and universities.

Pre-requisite: Successful completion of Pre-Calculus.

ADVANCED PLACEMENT COMPUTER SCIENCE® (10 Credits)*

Understand core aspects of computer science which students can use to create solutions that are understandable, adaptable, and when appropriate, reusable. Students will learn to design and implement computer programs to solve problems involving skills that are fundamental to the study of computer science. This includes the development and analysis of algorithms and fundamental data structures, and the use of logic and formal methods. Students enrolled in Advanced Placement Computer Science® are prepared to take the Advanced Placement Computer Science® Exam. This allows students the opportunity to earn college credit or advanced standing at most of the nation’s colleges and universities.

ADVANCED PLACEMENT STATISTICS® (10 Credits)*

Learn about the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will develop analytical and critical thinking skills and learn to describe data patterns and departures from patterns, plan and conduct studies, use probability and simulation to explore random phenomena, estimate population parameters, test hypotheses, and make statistical inferences. Students enrolled in Advanced Placement Statistics® are prepared to take the Advanced Placement Statistics® Exam. This allows students the opportunity to earn college credit or advanced standing at most of the nation’s colleges and universities.

* Pending Enrollment

EARLY COLLEGE STATISTICS 177 (10 Credits)

A general statistics course, which includes understanding data, measures of central tendency, measures of variation, binomial distributions, normal distributions, correlation and regression probability and sampling distributions, Central Limit Theorem, confidence intervals, estimates of population parameters and hypotheses testing. Interpretation and data analysis are emphasized. This course supports student development of Critical Thinking, Quantitative Literacy, and Personal and Professional Development. Students earn credit through 3-credits Middlesex Community College. The Middlesex credits qualify for the MassTransfer credit, which guarantees credit transfer to Massachusetts state universities and the University of Massachusetts.