Program of Studies | Page 26

similar examples will give students a more complete understanding of how algebra is applicable to other disciplines. A complete unit on conic sections including ellipses and hyperbolas will be incorporated. Note: Honors Geometry may be taken concurrently by placement only. Honors Pre-Calculus 1 credit Prerequisite: Honors Algebra II and Honors Geometry Students will study the unifying nature of functions with an emphasis on trigonometric, exponential and logarithmic functions. Visualization and analysis of graphs will help students develop insight into mathematical ideas. The course will encourage students to appreciate the importance of mathematics in daily life by connecting mathematical principles to situations in the natural world (e.g., the periodic nature of ocean tides). Study of sequences and series and probability will be incorporated. Honors Statistics 1 credit Prerequisite: Honors Pre-Calculus Statistics is used more commonly than any other kind of math. Students will see clearly the answer to the question “When are we ever going to need this?” Honors Statistics is a yearlong course that will focus on collecting, organizing, analyzing, and interpreting data. Topics will include exploratory data analysis, study planning, probability, and statistical inference. AP Statistics 1 credit Prerequisite: Honors Pre-Calculus The 21st century is the age of information. Advertisers, businesses, and politicians all make decisions based on research. “Data-driven” is the new catchphrase. Statistics is often a general requirement for college majors. This demanding AP course in statistics will 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: exploring data, planning a study, anticipating patterns, and statistical inference. All students are required to take the AP exam. 26 Honors Calculus A 1 credit Prerequisite: Honors Pre-Calculus Since the underlying mathematical basis of many technical fields relies on calculus, many college majors require students to study calculus. This course is the equivalent of one semester of a college calculus curriculum. Studies will include topics of limits, continuity, differential and integral calculus. A grade of B or better will qualify the student to receive automatic credit for the course titled MAT 152D Calculus A at the University of Southern Maine through Project ASPIRE (for students who choose the dual enrollment option in September). AP Calculus AB 2 credits Prerequisite: Honors Pre-Calculus Calculus is the mathematics of change. It can be used to explain the spread of epidemics or the path of a curveball. AP Calculus AB is the equivalent of a 1-½ semesters of a college calculus curriculum. In this demanding course, the student will study the cornerstones of calculus: the derivative, the definite, and the indefinite integral. Students will approach ideas through the concept of function, so the class will spend some time reviewing and extending student’s knowledge of trigonometric, logarithmic, exponential and polynomial functions. Students will also study continuity and limits, the differential and advanced techniques of integration as well as learn applications of these concepts. All students are required to take the AP exam. AP Calculus BC 1 credit Prerequisite: Successful completion of AP Calculus AB This course is the continued study of calculus of functions of a single variable. Students will work with functions graphically, numerically, analytically, and verbally. Their understanding of functions will expand to polar and parametric equations. Derivatives and definite integrals will be studied in greater depth to solve a variety of application problems. Course material will include all topics taught in AP Calculus AB together with other topics and including a focus on series. Previous course work regarding limits will be interwoven with the series unit. The calculus of vectors will be included. All students are required to take the AP exam. MATHEMATICS ELECTIVES Introduction to Logic 0.5 credit Grades 11 and 12 Prerequisite: Successful completion of a Geometry course College bound students who plan to study mathematics or computer programming will find this course most valuable. Logical thinking is the basis behind mathematics, computer programming, and rational thinking. This course will provide an introduction to the concepts and symbols used in logical arguments with a focus on propositional logic. Discuss how to translate arguments into the language of formal logic and test the validity of those arguments. Introduction to Accounting 0.5 credit Grades 11 and 12 Are you interested in taking the most practical subject in school? Are you interested in business and finance? Are you interested in possible career opportunities? If this describes you, this introductory class is for you! Become familiar with the language of business through the accounting cycle, including determining assets, liability and capital. Learn to prepare balance sheets, journals, ledgers worksheets and financial statements. Study the accounting cycle for service and merchandising business ownership models. Class members will examine current business practices, trends and problems related to accounting, and will be introduced to computerized accounting through the Quickbooks program. Honors Accounting 0.5 credit Grades LH[