Mathematics Courses

 

Integrated Math I

This course serves as an introduction to the symbolic language of Algebra as well as a solidification of the basic operations needed to be successful in developing fluency in mathematics. It also covers the basics in both probability and two- and three-dimensional geometry. The course is closely aligned with the Massachusetts state standards and is designed to prepare students for the MCAS.



Integrated Math II

This course covers many topics from Algebra I in addition to elements of basic Geometry such as measuring, manipulating, and calculating angles using supplementary, complementary, and vertical angles, similar triangles, and polygons. The course also covers basic probability, statistics, and data analysis. The course is closely aligned with the Massachusetts state standards and is designed to prepare students for the MCAS.



Integrated Math III

Students in Integrated Math 3 develop algebraic understanding of topics from both Algebra I and Algebra II such as systems of linear equations and quadratic relationships. Students also explore basic two- and three-dimensional geometry and work toward mastery of high school level statistics and probability. The focus in this course is on mathematical modeling and using multiple modes (verbal, numerical, symbolic & graphical) to represent the same situations. The course is closely aligned with the Massachusetts state standards and is designed to prepare students for the tenth-grade MCAS.



Geometry

This course introduces two and three dimensional geometry, inductive and deductive reasoning, and formal mathematic logic and proofs. The connections between Geometry and Algebra is stressed.



Advanced Algebra (with Trigonometry)

This course focuses on the world of advanced algebra. It allows students to explore and expand on all of the elementary algebra that they have learned throughout their math careers. During the first months, students learning about equations and inequalities, linear relations and functions, systems of linear equations and inequalities, polynomials, irrational and complex numbers, exponential equations, logarithmic equations and radical equations. Students explore the world of the three-dimensional plane and synthetic division. During the second portion of the course, students learn about quadratic equations, rational expressions, trigonometric functions and their graphs, advanced probability and more. This course is designed to provide students with the foundation necessary for entry into either Calculus or Pre-Calculus.



Pre-Calculus

Pre-calculus allows students to explore and expand on all of the advanced algebra that they have learned throughout their math careers. During the first stretch of the course, students study functions and their characteristics. They explore the essential question: What is a function? Students learn how to analyze real-world situations with rational, higher-degree, and logarithmic functions. They then venture back into the study of trigonometry exploring a more advanced analysis of the applications of trigonometric functions. During the second portion of the course, students focus on analytic geometry including conic sections, the basics of calculus with limits and derivatives, series and sequences and more. This course is designed to prepare students for Calculus and other college-level math courses.



Intro to Calculus

This course is an accelerated class which quickly covers some essential and advanced Pre-Calculus, followed by an introduction to first semester college level Calculus. Topics covered include functions, limits, series, differentiation, integration, techniques of integration, and applications of integration. Students are assessed by a combination of homework assignments, quizzes, tests, projects, and class participation.