Advanced Mathematical Decision Making B0353FC 2 quarters 1 credit
Prerequisite: Completion of Algebra II or Integrated Math 2
This course is designed for students who do not want to major in mathematics or science fields in College. This course may also be useful to other students as an elective. The primary focal points include the analysis of information using statistical methods and probability, modeling change and mathematical relationships, mathematical decision making in finance, and spatial and geometric modeling for decision making. In this course, students will learn to become critical consumers of the quantitative data that surround them every day, knowledgeable decision makers who use logical reasoning, and mathematical thinkers who can use their quantitative skills to solve problems related to a wide range of situations. Throughout this course, there will be an emphasis on working in teams and developing presentation skills.
Advanced Placement Calculus AB B0307FA 4 quarters 2.4 credits
Prerequisite: Completion of Functions & Trigonometry Analysis
This course is designed for students who have successfully completed Functions, Statistics, and Trigonometry. The topics for AP Calculus AB are divided into three major themes. Theme I involves functions, graphs, and limits. Key topics include: analysis of graphs, limits of functions, asymptotic and unbounded behavior, and continuity. Theme II involves derivatives. Key topics include: the concept of a derivative, the derivative at a point, the derivative as a function, second derivatives, applications of derivatives, and the computation of derivatives. Theme III involves integrals. Key topics include: interpretations and properties of definite integrals, applications of integrals, the Fundamental Theorem of Calculus, techniques of antidifferentiation, applications of antidifferentiation, and numerical approximations to definite integrals. Departmental approval is required. Students are required to take the Advanced Placement test in the spring. A graphing calculator is required/
Advanced Placement Calculus BC B0304FA 4 quarters 2.4 credits
Prerequisite: Completion of AP Calculus AB as juniors (half year)/Completion of AP Pre-Calc for Full Year course
This course is intended for students who have successfully completed AP Calculus AB as juniors. This course will further explore many of the concepts addressed in AP Calculus AB. Some of the topics addressed during this course will include: functions, limits and continuity, the derivative, the integral, differential equations, and infinite series. This course will emphasize calculus applications and techniques, including the use of multiple representations such as graphic, numeric, analytic, algebraic, and verbal and written responses. Technology is an integral part of the course and includes the use of graphing calculators, computers, and data analysis software. A graphing calculator is required for this course (TI-83 plus is preferred).
Geometry 10 B00983FC 2 quarters 1 credit H
This semester course is intended for sophomores who are concurrently enrolled in AP Statistics. In this course, students will explore complex geometric situations and explain geometric relationships. All concepts are aligned with the Massachusetts Department of Education Curriculum Framework for Geometry and include the following: triangles and triangle congruence, quadrilaterals and other polygons, geometric transformations, formal and informal proofs, polygons, three dimensional figures and cross-sections, trigonometry, and circles. Real life situations are modeled throughout the year to enable students to understand how the course content relates to the world around them. Students are expected to demonstrate the following: skill in carrying out algorithms; the ability to develop and use mathematical properties; the ability to apply mathematics in realistic situations; and the ability to represent mathematical concepts through a variety of models.
AP Pre-Calculus B00982FC 4 quarters 2.4 credits
This course is intended for juniors who have successfully completed IMATH 1B and IMATH 2B and want to take calculus either senior year or in college. Juniors would take this course instead of FTA. This course is also intended for seniors who have successfully completed FTA, but want to delve deeper into those FTA topics and want to take calculus or pursue a STEM major in college. Both the knowledge and skills developed in this course will provide the foundation for careers in mathematics, physics, biology, health science, social science, and data science. The topics for AP Precalculus are divided into three major themes: polynomial and rational functions, exponential and logarithmic functions, and trigonometric and polar functions. The overarching skills throughout the course will be modeling real-world data, translating between graphical, numerical, analytical, and verbal representations, developing procedural and symbolic fluency, and communicating with precise language to provide logical rationales for your conclusions. A graphing calculator is required.
Pre-Calculus B0308FC/FH 2 quarters 1 credit R/H
Prerequisite: Completion of Algebra II or Integrated Math 2 and FTA
This course is offered as a fourth year mathematics course designed for students who have successfully completed all courses through FTA, plan to attend college, and need an alternative to Calculus. Students will expand their mathematical knowledge to include many topics typically covered in an introductory college mathematics course. Key topics include the analysis of functions, trigonometric functions and identities, matrices, conic sections, sequences and series, and probability. A focus on algorithms will link concepts throughout the curriculum. Real world problems are incorporated to provide students with the opportunity to determine the relevance of mathematics in everyday life. Access to a graphing calculator is necessary for successful completion of this course.
Introductory Statistics B0331FC 2 quarters 1 credit
Prerequisite: Completion of Algebra II or Integrated Math 2
Introductory statistics will cover the basics of statistical reasoning. Students will learn about distributions of data, regression, the Normal Model, and inference. This course is open to students who have successfully completed Algebra II. For seniors who have successfully completed FTA, this course can count as part of the graduation requirement with approval from the STEM Director.
Advanced Placement Statistics B0330FA 4 quarters 2.4 credits
Prerequisite: Completion of Algebra II or Integrated Math 2
This course is designed for students who have successfully completed Algebra II and who possess sufficient mathematical maturity and quantitative reasoning ability. The topics for AP Statistics are divided into four major themes. Theme I involves exploring Data and observing patterns and departures from patterns. Key topics include interpreting graphical displays of distributions of univariate data, summarizing distributions of univariate data, comparing distributions of univariate data, exploring bivariate data, and exploring categorical data. Theme II involves planning a study and deciding what and how to measure. Key topics include: methods of data collection, planning and conducting surveys, planning and conducting experiments, and the generalizability of results from observational studies, experimental studies, and surveys. Theme III involves anticipating patterns by producing models using probability theory and simulation. Key topics include: probability and relative frequency combining independent random variables, the normal distribution, and sampling distributions. Finally, Theme IV involves statistical inference and confirming models. Key topics include: confidence intervals, test of significance, and the special case of normally distributed data. Departmental approval is required. Students are required to take the Advanced Placement test in the spring. A graphing calculator is required for this course (TI-83 plus is preferred).
STEM Center Fellowship
This course is designed for seniors and juniors interested in taking on a leadership role and developing their speaking, listening, problem solving and STEM skills. In the initial weeks of the course, students reflect on and study the process of supporting students and giving feedback in STEM courses, engage in readings about the theory and practice of effective tutoring, perform classroom observations, and conduct mock tutoring sessions. After this initial training period, student tutors will tutor one-on-one or tutor small groups of students in science, mathematics, technology, and engineering courses in the STEM center or at the request of teachers in their classrooms.