The Pathfinder mathematics curriculum has been designed to address student needs by complying with Massachusetts Frameworks & Common Core standards to prepare students for the MCAS graduation requirement. Our overarching goal is to provide content knowledge, problem-solving abilities, and higher-order thinking skills to all students so they are career and college ready upon graduation.
Algebra I is an introductory course for ninth grade students to transition them from concrete ideas of arithmetic to the more abstract ideas of higher level mathematics. Major topics include representing numbers, number relations, expressions and equations, formulas, sign rules, graphs, and linear equations and systems.
Intermediate Algebra is a junior course designed to bridge the gap between Algebra I and Algebra II concepts. Students will review Algebra I theory before moving on to Algebra II topics and applications, including polynomial functions, factoring expressions, quadratic functions and applications, and rational and radical functions.
Algebra II expands students' understandings of math models and real-world applications of algebra topics. The course reinforces such concepts as proportions and percent equations, linear equations and systems, quadratic functions and projectile motion, as well as rational and radical functions.
Geometry focuses on the use of structured logic to study concepts relating to angles, lines, triangles, quadrilaterals, congruence and similarity, polygons, and three-dimensional figures. Students apply logic and reason to prove geometric theorems.
Financial Algebra is designed to develop a strong foundation in logical thinking and problem solving that will enable students to make informed decisions regarding matters of money and finance in their daily lives. This course furthers the exploration of algebraic thinking patterns and functions in a financial context. Other topics studied include measures of center and spread, graphical representations of data, principles of finance economics, amortization, supply and demand, revenue and profit functions, loans, compound interest and continuous interest, credit card debt, car ownership, and budgets.
Pre-Calculus is offered to juniors and seniors and emphasizes radicals, imaginary numbers, hyperbolas, parabolas, quadratic functions, and trigonometry. Students learn applications, as well as theory. This course is designed to prepare students for Calculus.
AP Calculus AB
Calculus is a senior course that builds upon the conceptual knowledge and skills obtained in the Pre-Calculus curriculum, and it is the capstone course of the Honors program. Key concepts covered in the course are limits, continuity, derivatives, integrals, the Fundamental Theorem of Calculus, and real-world applications. This course will prepare students for a college-level Calculus class or a career involving mathematical and scientific models. Students will take the AP Calculus AB exam towards the end of the year, which is formulated by the College Board.