## Math

The goal of the Mathematics Department is to provide students with the necessary skills to graduate from high school and achieve success on a wide variety of tests, including standard placement exams for Community Colleges, exams in trade areas, civil service exams, military exams, etc.

The Mathematics Department aligns curriculum with the Massachusetts Curriculum Frameworks and works on updating and expanding our curriculum regularly.

Currently, students are required to take math for three years, although most of our students recognize the importance of mathematical skills and elect to take math for all four years.

2019 – 2020 School Year

Freshman Classes offered:

Advanced Algebra 1 (9th)

Advanced Algebra is a course designed to prepare students for a higher level of mathematical reasoning. It is recommended for highly motivated students who have sharp math skills and a background in Algebra. This course will cover traditional topics taught in a one-year Algebra 1 course (shown below), as well as some topics generally taught in Algebra II, such as systems of equations and a deeper exploration of quadratics. This advanced course works at a pace quicker than Algebra 1.

Algebra 1 (9th)

This is a traditional Algebra 1 course designed to give students skills that will provide them a foundation for future Math courses. Algebra 1 includes topics such as integers, order of operations, solving and writing linear equations and inequalities, percentages, graphing and scatter plots. The course also includes study of monomial and polynomial expressions, inequalities, exponents, functions, rational expressions, ratio, and proportions. Algebraic skills are taught to be applied in a wide variety of problem-solving situations.

Integrated Math I (9th)

Students review topics such as measures of central tendency, reading tables and graphs, operations with integers, and the order of operations. Students will also explore functions through the study of linear patterns, solving equations, writing and graphing linear equations, and using scatter plots and trend lines to make predictions.

All Freshman & Sophomores take MCAS Math 9/10 as a second Math class during shop week.

Math 9 / Math 10

This is a pass / fail MCAS preparatory course taught during shop weeks. Topics include integers, order of operations, solving linear equations and inequalities, proportions, percentages, graphing, scatter plots, and polynomials as well as an introduction to quadratics from Algebra I. Geometry topics will include angles, triangles, perimeter, area, Pythagorean Theorem, scale factors and similarity, and properties of circles. Students practice test taking strategies, along with composing open response questions weekly.

Sophomore Classes offered:

Advanced Geometry (10th)

Advanced Geometry is the study of mathematical topics in a spatial discipline. Investigations involve algebraic equations, graphs, and geometric figures. This course will cover perimeter, area, volume, angle reasoning, parallel lines, transversals, ratios, proportions, similar figures, as well as the Pythagorean Theorem, radicals, geometric figures, special right triangles, and circles. This course will also place a strong emphasis on critical thinking and problem solving. This advanced course works at a pace quicker than Geometry.

Geometry (10th)

Geometry is a spatial discipline that builds upon the ideas studied in Algebra I. This year-long course stresses critical thinking and problem solving in the 2-Dimensional plane. This course places an emphasis on MCAS preparation. Topics include perimeter, area, volume, angle reasoning, parallel lines, transversals, ratios, proportions, similar figures, the Pythagorean theorem, radicals, plane geometric figures (including polygons both regular and irregular), special right triangles, circles, and applications. This course is recommended for students who have completed Algebra I.

Integrated Math II (10th)

This course will review basic math skills of integers (positive and negative numbers) and provide an introduction to Algebra & Geometry topics such as order of operations, solving and writing linear equations, graphing and reading linear equations. Transformations will be calculated on different shapes on a coordinate plane. Students will use ratios and proportions to solve equation and percentage problems. Students will evaluate, create charts and graphs, use statistics and percentages based on these graphs. Area and perimeter topics will be covered on different shapes. The pace of this class is flexible and is adjusted to meet students’ needs.

Junior Classes offered:

Advanced Algebra 2 (11th)

This course will build upon topics covered in Algebra I. New topics include systems of linear equations and matrices, quadratic equations, irrational and complex numbers, negative and fractional exponents, exponential and logarithmic functions and equations, and touch on probability and counting principles. Students will also use technology to graph functions, explore and compare graphs, and make predictions about their behavior. This course will cover topics at a faster pace and dive into real world applications when applicable.

Algebra 2 (11th)

This course will build upon topics covered in Algebra I. New topics include systems of linear equations and matrices, quadratic equations, irrational and complex numbers, negative and fractional exponents, exponential and logarithmic functions and equations. Students will use technology to graph functions and examine behavior of different types of graphs and generalize results.

Pre-Calculus (11th Must be taken with Algebra 2)

Pre-Calculus is a course that allows students to study functions including domain, range, inverse functions, and parent functions. Students will also study Polynomial functions such as end behavior, x and y intercepts, and local extrema. A variety of Trigonometry topics will also be covered.

AP Stats (11th Must be taken with Algebra 2)

Advanced Placement Statistics is a course designed for students who are seeking to become more well-rounded mathematical writers, world citizens, and critical thinkers. AP Statistics students will examine phenomena in society, ask interesting questions, look at facts and data, and analyze the world at large through a data-driven lens. Our study of mathematics is driven by the goal to be better educated consumers of news, media, and science as well as to become better problem solvers in our own vocations and fields. Students taking AP Statistics will sit for a College Board Exam in May with the potential to earn college credit.

Integrated Math III (11th)

This course is a continuation of Integrated Math II. Students will review standard and linear equations, circle properties, perimeter and area, radicals, and roots and powers. Students will apply these concepts to solve real world problems. The pace of this class is flexible and is adjusted to meet students’ needs.

Senior Classes offered:

Trigonometry (12th)

Trigonometry is a course that focuses on topics such as Right Triangle Trigonometry, Trigonometric Functions of Special Angles, Solving Trigonometric Equations, Graphing Sine and Cosine, and solving triangles using the Laws of Sine and Cosine. Emphasis will also be placed on Trigonometric Identities, including addition, subtraction, multiplication, division, and Pythagorean identities.

Calculus (12th PRE-CALCULUS in 11th is required)

Calculus is the mathematical study of functions and their applications. Major topics include trigonometry, derivation, integration, applications, and physics. Students are expected to examine their work and the work of others closely to better articulate themselves as mathematicians and use challenging notation to communicate mathematics to an audience. At the end of this course, students will be prepared to move on to an academic course of study at the advanced level.

Financial Literacy for the Future (12th)

This is a course that empowers students with the ability to understand financial language and manage common financial tasks they will encounter throughout their lifetimes. Topics include: understanding various banking and financial services such as balancing a checkbook; different types of accounts like direct deposit; banking services such as loans and their features; secured debt such as mortgages and equity loans; unsecured debt like credit cards; and how to make financial decisions, such as renting or buying a home, paying state and federal taxes, charitable giving, online commerce, and information on identity theft.

Integrated Math IV (12th)

This is the final course in the Integrated Math sequence. Students will study polynomials, roots and powers, linear equations, rational expressions, and systems of equations. Students will apply these skills as they problem-solve real world scenarios that they will likely encounter after high school.