CURRICULA

## Math

“The mission of the mathematics department is to provide an environment where students can learn and become competent users of mathematics and mathematical application. Moreover, the department will contribute to the development of students as mathematical thinkers, enabling them to become lifelong learners, to continue to grow in their chosen career paths, and to function as productive citizens.”

##### AP Calculus AB
Building enduring mathematical understanding requires understanding the why and how of mathematics in addition to mastering the necessary procedures and skills. To foster this deeper level of learning, AP Calculus AB is designed to develop mathematical knowledge conceptually, guiding you to connect topics and representations throughout the course and to apply strategies and techniques to accurately solve diverse types of problems.

By the end of the course you should be able to:

Work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal. You should understand the connections among these representations.
Understand the meaning of the derivative in terms of a rate of change and local linear approximation and use derivatives to solve a variety of problems.
Understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and use integrals to solve a variety of problems.
Understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
Communicate mathematics both orally and in well-written sentences and explain solutions to problems.
Model a written description of a physical situation with a function, a differential equation, or an integral.
Use technology to help solve problems, experiment, interpret results, and verify conclusions.
Determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.
Develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.

##### AP Statistics
The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling, and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.
Business Math focuses on reinforcing general math skills, emphasizing speed and accuracy in computations, and using these skills in a variety of business applications. Business Math builds upon general math topics (e.g., arithmetic, measurement, statistics, ratio and proportion, exponents, formulas, and simple equations) by applying these skills to business problems and situations; applications might include wages, hourly rates, payroll deductions, sales, receipts, accounts payable and receivable, taxes, loans, financial reports, discounts, and interest.
##### Trigonometry
Trigonometry prepares students for eventual work in calculus and typically include the following topics: trigonometric and circular functions; their inverses and graphs; relations among the parts of a triangle; trigonometric identities and equations; solutions of right and oblique triangles; and complex numbers.
##### PreCalculus
Precalculus Honors completes the formal study of the elementary functions begun in Algebra 1 and Algebra 2. Students focus on the use of technology, modeling, and problem-solving. Functions studied include polynomial, exponential, logarithmic, rational, radical, piece-wise, and trigonometric and circular functions and their inverses. Parametric equations, vectors, and infinite sequences and series are also studied.
##### Algebra II
Algebra II is a rigorous core mathematics course that extends topics learned in Algebra I and also introduces new topics. Topics to be covered include expressions, equations, inequalities, functions, graphs, linear systems, quadratic functions, equations, polynomials, polynomial functions, radical functions, rational exponents, exponential functions, logarithmic functions, probability, statistics, trigonometry, rational functions, sequences, and series. This course precedes Precalculus and prepares students for further mathematical coursework.
##### Geometry
Geometry is the study of measurement. In this course, students discover the different ways various geometric structures can be measured and how they relate to each other, while simultaneously connecting these topics to those learned in Algebra 1. Students will learn to recognize congruence in order to solve different problems. Students will be introduced to mathematical proof and will use the relationships to complete them.
##### Algebra I
This Algebra 1 course is the first in a four-year college prep sequence. This college prep course addresses the Common Core State Standards for Mathematical Content with major emphasis on the conceptual categories of Number and Quantity, Algebra, Functions, and Statistics, and Probability. In the Number and Quantity category, students will investigate the Real Number System and reason with varying quantities. The Algebra category will have students seeing structure in expressions, performing arithmetic with polynomials and rational expressions, and creating and reasoning with equations and inequalities. Students will learn to interpret and build functions and will learn about the linear, quadratic, and exponential models in the Functions conceptual category. Content areas including scatter plot, the line of best fit, and basic counting principles connect to the Statistics and Probability category. The Geometry conceptual category will cover similarity, right triangles, and Trigonometry. Students will engage in the Standards for Mathematical Practice throughout the year by making sense of and solving problems, reasoning and communicating mathematically, representing and connecting, and seeing the structure and generalizing.
##### Algebra I Honors
Algebra 1 Honors is a course designed for eighth-grade honors students, covering all eighth-grade common core topics as well as most Algebra 1 topics. This course addresses the Common Core State Standards for Mathematical Content with major emphasis on the conceptual categories of Number and Quantity, Algebra, Functions, and Statistics, and Probability. In the Number and Quantity category, students will investigate the Real Number System and reason with varying quantities. The Algebra category will have students seeing structure in expressions, performing arithmetic with polynomials and rational expressions, and creating and reasoning with equations and inequalities. Students will learn to interpret and build functions and will learn about the linear, quadratic, and exponential models in the Functions conceptual category. Content areas including scatter plot, the line of best fit, and basic counting principles connect to the Statistics and Probability category. The Geometry conceptual category will cover similarity, right triangles, and Trigonometry. Students will engage in the Standards for Mathematical Practice throughout the year by making sense of and solving problems, reasoning and communicating mathematically, representing and connecting, and seeing the structure and generalizing.
##### Mathematics Course 3
Mathematics Course 3 (grade 8) focuses on the development of algebraic thinking and skills by extending prior knowledge learned in the 7th grade. It provides a comprehensive program including the number system, expressions, and equations, functions, geometry, statistics, and probability. By the completion of Mathematics Course 3, students will have achieved the ability both to recognize abstractions and to express those abstractions formally, and will, therefore, be ready to enroll in Algebra 1 in high school.
##### Mathematics Course 2
Mathematics Course 2 (grade 7) focuses especially on the development of algebraic thinking, from a common sense approach in which mathematics is rooted, to an abstract and generalizable discipline. Because the program balances skills, applications, and theories, students are expected to hypothesize solutions to problems, and then explain, justify, and verify their answers and approaches, both orally and in writing. Topics are revisited periodically with increasing depth and formality. Students develop conceptual understanding and then use technology to extend and broaden their understanding to solve more complex problems. Students will build upon topics covered in the 6th grade, including ratios and proportional relationships, the number system, expressions and equations, geometry, statistics, and probability.
##### Mathematics Course 1
Mathematics Course 1 (grade 6) uses the Massachusetts common core state standards (CCSS) to cover topics including equations and expressions, the number system, ratios and proportional relationships, geometry, and statistics, with a focus on developing algebraic thinking. This program also emphasizes the eight common core state standards for mathematical practice, which develops students’ critical thinking skills and abstract reasoning abilities. Academic performance in this course will determine whether or not a student will be in an honors math class next year.