# COURSE SELECTION BREAKDOWN

# Grade 9

Students must take Algebra I.

## Algebra I

This course addresses the Common Core Standards for Algebra 1. Algebra I focuses on four critical areas: (1) deepen and extend understanding of linear and exponential relationships; (2) contrast linear and exponential relationships with each other and engage in methods for analyzing, solving, and using quadratic functions; (3) extend the laws of exponents to square and cube roots; and (4) apply linear models to data that exhibit a linear trend.

## Enhanced Algebra I

The concepts in the Algebra I course are extended in the Enhanced Algebra I course by introducing additional types of numbers, expressions, equations, and functions that naturally connect with each other (as in the case of extending finding zeros of quadratics to finding zeros of polynomials) and/or organize each other (as in the case of extending the number system to include both real and non-real numbers). This is the first course on the track to reach Calculus by twelfth grade; therefore, the study of algebraic concepts of expressions, equations, polynomials, and functions are investigated in-depth and from a pre-calculus perspective. This is a fast paced class with the expectation of strong student performance. The completion of out-of-class research and extra projects is expected.

# Grade 10

Students must take Geometry. They may also choose to add Mathematics Seminar or Probability and Statistics as an elective.

## Geometry

This course addresses the Common Core Standards for Geometry. Geometry focuses on six critical areas: (1) establish criteria for congruence of triangles based on rigid motions; (2) establish criteria for similarity of triangles based on dilations and proportional reasoning; (3) informally develop explanations of circumference, area, and volume formulas; (4) apply the Pythagorean Theorem to the coordinate plane; (5) prove basic geometric theorems; and (6) extend work with probability.

*Mathematics Electives (Gr 10)*

## Mathematics Seminar

This course is designed to help students successfully learn critical mathematics skills that they will encounter in various courses. Students will be provided with a solid understanding of the high school math content standards. Basic skills will be reviewed and reinforced, especially those involving computation. Students will learn how to analyze and solve problems using appropriate strategies. A variety of test-taking strategies will be presented to give students the tools required to successfully complete various types of assessments including district-wide and standardized tests. At the beginning of the year, an individualized plan based on diagnostic assessments will be designed for each student with ongoing benchmark measures to monitor student progress.

## Probability and Statistics

This course uses a standards-based approach to the study of statistics and probability. Topics include Interpreting Categorical and Quantitative Data, Making Inferences and Justifying Conclusions, Conditional Probability and the Rules of Probability, and Using Probability to Make Decisions. Decisions or predictions are often based on data—numbers in context. These decisions or predictions would be easy if the data always sent a clear message, but the message is often obscured by variability. Statistics provides tools for describing variability in data and for making informed decisions that take it into account. Statistical applications will be used. Connections to real world and cross-curricular applications will be made (e.g., students may be asked to justify a determination of who is the best NFL quarterback using data or how best to represent data in the news to make a point).

# Grade 11

Students must take Algebra II. They may also choose to add personal finance or CAD as an elective.

## Algebra II

This course addresses the Common Core Standards for Algebra 2. Algebra 2 focuses on four critical areas: (1) relate arithmetic of rational expressions to arithmetic of rational numbers; (2) expand understandings of functions and graphing to include trigonometric functions; (3) synthesize and generalize functions and extend understanding of exponential functions to logarithmic functions; and (4) relate data display and summary statistics to probability and explore a variety of data collection methods.

## Enhanced Algebra II / Pre-Calculus

This course is a continuation of algebraic concepts. Topics include functions and graphs and more complex problem solving, complex numbers, matrices to solve linear systems, vectors, analytic trigonometry, and relates the connections between the fundamental concepts of algebra, trigonometry and analytic geometry. Several standards in the Algebra II course were moved to the Enhanced Algebra I course which made it possible to add standards from the Pre-calculus Course to the Enhanced Algebra II course. In this way students will be prepared for Calculus after successful completion of Enhanced Algebra II. This is a course which covers material at a fast pace and in great depth, with the expectation of stronger student performance. A greater emphasis will be placed on algebraic approaches to problem solving.

*Mathematics Electives (Gr 11)*

## Personal Finance

Financial Literacy is essential in meeting the financial challenge of the 21st Century with understanding and managing personal finances the key to one’s future financial success. Students will apply the knowledge and skills learned in this course to various financial situations they will encounter later in life to make critical decisions regarding personal finances. Students will learn money management, savings and investing, income, and spending strategies. This course will teach students to identify and prioritize their personal money management goals, develop personal spending, savings, and investing plans, tax implications and understand the cost of using credit along with asset protection.

## Computer Aided Design (CAD)

This course serves as an introduction to the operation and application of computer-based design using Autodesk software. The course will give students an overview of the design process using computer modeling, from conception to production. Students will be exposed to 2- and 3-dimensional modeling using AutoCAD and Inventor. Time permitting, students will also be given a brief overview of 3D animation using Maya, and architectural drawing using Building Design. The course will be largely project-based, with students brainstorming, modeling, revising, and building solutions to different design challenges.

# Grade 12

Students must choose one of the following courses. These courses meet the MASS CORE requirements for the fourth year of mathematics. They may also choose to add personal finance, probability and statistics, or CAD as an elective.

## Algebra III / Trigonometry

This course is a continuation of concepts presented in Algebra II. It will emphasize the connection between algebra, geometry and trigonometry. The focus of this course is exponential/logarithmic functions, polynomials, trigonometric functions and trigonometric identities.

## Pre-Calculus

This course addresses the Common Core Standards for Precalculus. Precalculus focuses on four critical areas: (1) extend work with complex numbers; (2) expand understanding of logarithms and exponential functions; (3) use characteristics of polynomial and rational functions to sketch graphs of those functions; and (4) perform operations with vectors.

## Calculus

This course is for students who have successfully completed Algebra II Enhanced. The course will include a brief review of the critical concepts and skills covered in Algebra II Enhanced followed by the concepts of limit, derivative, and definite and indefinite integral. Techniques of numerical and closed form integration with applications of the definite and indefinite integrals will be studied.

## Advanced placement Statistics

The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students will be exposed to four broad conceptual themes which include: Exploring Data: Describing patterns and departures from patterns, Sampling and Experimentation: Planning and conducting a study, Anticipating Patterns: Exploring random phenomena using probability and simulation, Statistical Inference: Estimating population parameters and testing hypotheses. A.P. Statistics is much more concept oriented than most math courses; students will focus less on computation and more on interpretation. Students are expected to take the College Board A.P. Statistics Exam in May. College credit may be applied with a score of three or higher on the College Board exam. (Exam is scored from 1 – 5.)

*Mathematics Electives (Gr 12)*

## Personal Finance

Financial Literacy is essential in meeting the financial challenge of the 21st Century with understanding and managing personal finances the key to one’s future financial success. Students will apply the knowledge and skills learned in this course to various financial situations they will encounter later in life to make critical decisions regarding personal finances. Students will learn money management, savings and investing, income, and spending strategies. This course will teach students to identify and prioritize their personal money management goals, develop personal spending, savings, and investing plans, tax implications and understand the cost of using credit along with asset protection.

## Probability and Statistics

This course uses a standards-based approach to the study of statistics and probability. Topics include Interpreting Categorical and Quantitative Data, Making Inferences and Justifying Conclusions, Conditional Probability and the Rules of Probability, and Using Probability to Make Decisions. Decisions or predictions are often based on data—numbers in context. These decisions or predictions would be easy if the data always sent a clear message, but the message is often obscured by variability. Statistics provides tools for describing variability in data and for making informed decisions that take it into account. Statistical applications will be used. Connections to real world and cross-curricular applications will be made (e.g., students may be asked to justify a determination of who is the best NFL quarterback using data or how best to represent data in the news to make a point.).

## Computer Aided Design (CAD)

This course serves as an introduction to the operation and application of computer-based design using Autodesk software. The course will give students an overview of the design process using computer modeling, from conception to production. Students will be exposed to 2- and 3-dimensional modeling using AutoCAD and Inventor. Time permitting, students will also be given a brief overview of 3D animation using Maya, and architectural drawing using Building Design. The course will be largely project-based, with students brainstorming, modeling, revising, and building solutions to different design challenges.