# Math

The Math Department provides standard college preparatory offerings with honors options for several courses. The goals of the department are to instill confidence in logical problem-solving, provide skills necessary for solving applied mathematical situations in real life settings, develop a sound algebraic foundation from which a student can move forward into advanced mathematical, scientific, and engineering fields of study, and prepare for college standardized testing. Each math course is supported by the use of technology and thoughtfully designed travel assignments that allow students to meet course objective without the benefit of in-class instruction when they are away from the classroom for athletic contests and training.

Provides students with the necessary skills for future success in Pre-Algebra. Students will study rational numbers including negative numbers, variables, expressions, equations, order of operations and basic problem solving skills. They will build on their existing knowledge of fractions by examining ratios, proportions and probability, and converting to/from decimals. Additionally, students will be introduced to percents and problems requiring the application of percents.

## Pre-Algebra

An introductory course taken in preparation for entering high school Algebra I. Topics include arithmetic operations with positive and negative integers, mastering the rules of fractions and exponents, solving, simplifying and manipulating complex equations and inequalities with variables, and understanding/graphing equations in two variables.

## Algebra I

Designed to improve the student’s overall understanding of simplifying, solving, and graphing line equations in one and two variables. There is also a strong focus on inequalities, systems of linear equations, and exponential equations. Throughout the Algebra I curriculum, students work on real-life applications of the concepts.

## Geometry (honors option available)

Typically taken after completing Algebra I and before Algebra II, though it may be taken in conjunction with Algebra II under teacher approval. In Geometry, students learn to apply their skills in mathematics to the spatial world in one, two, and three dimensions. Special emphasis is placed on using geometrical analysis to solve real world problems and viewing the tangible aspects of Algebra.

## Algebra II (honors option available)

Taken after students have completed Algebra I and, in most cases, Geometry. Students continue learning algebraic concepts including linear and polynomial functions and systems of linear equations and inequalities. Students also work with complex numbers, rational functions, exponential and logarithmic functions, and are introduced to probability. Emphasis is placed on developing skills in logical problem solving and graphing of functions and data in preparation for advanced concepts covered in Precalculus.

## Precalculus (honors option available)

Designed to both improve the student’s overall algebraic skills and prepare the student to progress into Calculus. During the first term a thorough review of Algebra II concepts is completed in preparation for fall SAT testing. A major emphasis is placed upon solving equations, polynomial and rational functions, trigonometry, circular trigonometry, logarithmic and exponential functions, systems, and graphing.

## Honors Calculus

Mirrors most of the topics covered in a college Calculus I course and some of the topics in a typical Calculus II course. The curriculum focuses on limits, differentiation, and integration. There is also a strong emphasis in the application of the derivative and integral. During the last term, the students complete a project on the applications of calculus.

## Personal Finance and Business Math

There are two main areas of focus in this course. The first trimester is devoted primarily to developing students’ personal financial skills particularly in the areas of budgeting, credit (loans, credit cards, mortgages), banking, and investments. The remainder of the year is focused on learning about business and the necessary math skills. These include understanding business structures (proprietorship, partnership, corporate), business ethics, and basic practices shared by all businesses: markups & discounts, invoices, commissions, payroll & taxes, inventory, depreciation, and financial statements.

3197 Carrabassett Drive
Carrabassett Valley, ME 04947

207.237.2250

Fax: 207.237.2213
Email: kpunderson@gocva.com