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MATHEMATICS Math I Elective Grade: 9 912754 Credit: 1 This course is divided into 12 categories. Both skills review and applications are included in each of the 12 areas. These areas are: Whole Numbers and Measurements; Fractions, Percents, and Decimals; Ratio, Proportions and Scale Drawings; Exponents and Metric System; Integers and Order of Operations; Algebra; Graphing Linear Functions; Statistics and Data Interpretation; Probability, Permutations and Combinations; Discrete Math; Geometry; Transformations. Criteria for Enrollment: Scored Unsatisfactory on the initial 8th grade LEAP 21 math test, but passed the retake test during the summer. In addition, students scored the lower portion of Approaching Basic on the initial 8th grade LEAP 21 math test. Math II Elective Grade: 10-11 912764 Credit: 1 Continuation of Math I Elective. Algebra I — Part I (E) Grade: 9 912084 Credit: 1 Algebra I — Part 1 is an entry-level course that introduces students to algebraic concepts as they apply to the real world. Students will learn these concepts using a hands-on, concrete approach. Students investigate, through application, operations with rational numbers, the properties of those operations, ratio, proportional reasoning, estimation, exponents and radicals, the rectangular coordinate system, sets and logic, formulas, and solutions of first-degree equations and inequalities. Algebra I (E) Grade: 9 912104 Regular Credit: 1 912105 Honors Credit: 1 This course is designed to increase mathematical knowledge as well as improve reasoning and problem-solving skills. The first semester presents information on variables and equations followed by real numbers operations and polynomial operations. Methods of factoring simple polynomials are introduced. The second semester introduces rational and irrational numbers, algebraic fractions, graphing, and solving equations in one and two variables. Practical applications are stressed when appropriate. Algebra I — Part 2 Grade: 10 912184 Credit: 1 Algebra I — Part 2 is a continuation of Algebra I — Part 1. Students enrolled in this course study in greater depth: operations with real numbers; the properties of those operations; evaluating rational algebraic expressions; solving and graphing first-degree equations and inequalities; operations with polynomials; solving simple quadratic equations; and using real-world problems to apply theory. Students will learn these concepts using a hands-on, concrete approach. Geometry Grades: 9-11 912154 Regular Credit: 1 912155 Honors Credit: 1 912165 Honors (9th) Credit: 1 912157 Gifted Credit: 1 (LHS) This course will be taught as practical geometry with hands-on emphasis. Proving theorems will not be the focus at this level. Geometry focuses on the study of visual patterns. The theorems of geometry will be used to describe the physical universe and to represent mathematical concepts. Topics include measurement formulas, geometric and spatial visualization, drawing skills, properties of congruence, similarity, parallelism and perpendicularity and properties of plane and solid figures. Different approaches, such as transformational, synthetic, and coordinate, will be used in this course. Geometry provides unifying concepts that are used throughout high school mathematics. Algebra II Grades: 10-11 912204 Regular Credit: 1 912205 Honors Credit: 1 912207 Gifted Credit: 1 (LHS) In the first semester of the course the student will first review major concepts from Algebra I and Geometry before continuing into more complex topics. They will then learn to solve one and two variable equations, and those equations involving inequalities and absolute values. The students are introduced to functions, relations and their graphs. A study of polynomials and rational expressions and their operations are included. The second semester introduces students to irrational and complex numbers, quadratic functions and conic sections. Students also learn how to solve linear equations in three variables and also work with logarithms, matrices and sequences. The use of graphing calculators is incorporated in this course. Algebra III Grades: 11-12 912224 Regular Credit: 1 Algebra III is a college-prep course that will review and extend the concepts from Algebra III, which include the exploration and properties of function such as linear, quadratic, exponential, logarithmic, polynomial and special functions. An introduction of circular and trigonometric function, the definitions and analysis of these functions, and their graphs; their inverses are also a part of the course. The course should include verification of trig identities, using the laws of sines and cosines, and solving right triangles with applications. Realistic problem solving in concrete situations are emphasized. These is also a strong focus on ACT preparation. The use of graphing calculators is incorporated. This course is recommended for college-bound students who are not potential science and engineering majors. Probability and Statistics Grades: 11-12 912655 Honors Credit: .5 912656 AP Credit: 1 912657 Gifted Credit: .5 (LHS) 912658 Gifted Credit: 1 (LHS) This course builds upon basic concepts of probability and statistics developed in the K-8 mathematics curriculum. In addition to addressing basic concepts in greater depth, more advanced ideas in probability and statistics are introduced in real-life contexts. Topics include probability distributions, including binomial and normal distributions; analysis of data; measures of central tendency and variability; random variables; random sampling; central limit theorem; confidence intervals; hypothesis testing; and curve fitting. The course should include both descriptive and inferential statistics. Connections between statistical concepts should be applied in real-world situations to demonstrate the relevancy of these topics. This is a graphing calculator dependent course. This course is recommended for college-bound students who are not potential science or engineering majors. Discrete Mathematics Grades: 11-12 912605 Honors Credit: .5 912607 Gifted Credit: .5 (LHS) 912705 Honors Credit: 1 Discrete Math is a branch of mathematics that deals with arrangements of distinct objects and decision making for finite settings. The major themes include modeling, systematic listing and counting, iterative processes, organizing and processing information, and finding the best solution using algorithms. Discrete Mathematics, including its applications, is one of the most rapidly expanding areas in the mathematical sciences. The modeling and understanding of finite systems are central to the development of the economy, computer science, and the natural, physical, biological, political, and managerial sciences and to mathematics itself. Topics include bin packing, recursion, logic, graphs, circuits, sorting, matrices, vectors, sets, trees, matching, fair division, election theory, networks, paths, sequences, coding, linear programming, functions, fractals, algorithms, computers, programming, combinatorics, game theory, apportionment, statistics, probability, and tilings. This is a graphing calculator dependent course. This course is recommended for college-bound students who are not potential science and engineering majors. Financial Math Grades: 11-12 912284 Credit: 1 This course is designed to focus on mathematical concepts and applications needed for the design and management of personal and business finances. Financial Mathematics serves as a foundation for all students to learn to make mathematically sound decisions in their roles as consumers, employees, and/or entrepreneurs. This course extends students’ knowledge of whole numbers, fractions, decimals, and percents as well as basic statistics and probability, algebra, geometry, and data analysis in the context of relevant real-life problem-solving situations. Emphasis is placed on various mathematical processes which include manual or electronic calculations of payroll, income tax preparations, interest computation, consumer information, managing income, buying insurance, selling and buying, making sound credit and investment decisions and other items that may be related to personal and business transactions. Mathematical and communication skills are reinforced in this course as well as critical-thinking skills through applications of math in personal finance and in business. Advanced Math Grades: 11-12 912405 Honors Credit: 1 This course combines two semester courses, Trigonometry and Analysis/Advanced Math/Pre-Calculus into a full-year course. Emphasis is placed on circular and trigonometric functions, the definitions and analysis of these functions, and their graphs; their inverses are also a part of the course. Verification of trig identities; using the laws of sines and cosines, solving right triangles with applications and working with complex numbers in standard and trigonometric are also included. Further study includes explore functions and property of functions such as linear, quadratic, exponential, logarithmic, polynomial, and special functions. Students work with sequences, series and their applications. Matrix operations as well of logarithms and limits are covered. The use of graphing calculators is incorporated. Prerequisites: Successfully completed Algebra II. Calculus Grades: 11-12 912455 Honors Credit: 1 912456 AP Credit: 1 912457 Gifted Credit: 1 (LHS) This introductory course in calculus is primarily concerned with an intuitive understanding of the concepts of calculus and with experiencing its methods applications. The course introduces students to topics in differential and integral calculus. Topics covered include analytic geometry, properties of functions and their graphs, limits, continuity, derivatives, and indefinite and definite integrals. Additional topics investigated include differentiation and integration of algebraic, exponential, logarithmic, and trigonometric functions by applying formulas and theorems, such as the Mean-Value Theorem and the Fundamental Theorem of Calculus. Applications of the derivative and definite integral include curve-sketching, area under a curve, volumes of solids of revolution, optimization problems, growth and decay problems, and their applications to real-life situations. Prerequisites: Successfully completed Advanced Math. Calculus II Grades: 11-12 912505 Honors Credit: 1 912507 Gifted Credit: 1 (LHS) The primary objective of Calculus II is to provide students with experience in applications of Calculus I, advanced integration techniques, polar coordinate, hyperbolic functions, vectors and elementary differential equations. Students should have completed Calculus I satisfactorily to enroll in this course. Students in Calculus II should consider taking the AP test for Calculus credit in college. Independent Studies in Technology Application Grades: 10-12 908054 Credit: 1 This course is an advanced level course designed to build upon concepts of technology applications addressing basic and more advanced applications of technology in the context of authentic situations. Students are required to pose hypotheses/questions related to a selected problem; work with a mentor; develop and appy advanced technology application skills; analyze information; produce, documentation of original work and publish the product in electronic media and print. Prerequisite: Completion of a high school technology course as identified in the Bulletin 741 and permission of the instructor/mentor for Independent Study in Technology Applications. Note: This is a performance and production class with new problems and technology tasks each year and can only be repeated a maximum of two times. Computer Technology Literacy Grades: 9-12 908104 Credit: 1 This semester course is designed to acquaint students with basic principles and terminologies associated with the computer and the computer’s growing role in business and society. The students will be exposed to programming, understanding the computer’s hardware and software, its history and its impact on society. Computer Architecture Grades: 11-12 952504 Credit: 1 In this course, students will be taught basic computer maintenance, repair and troubleshooting techniques. With these skills, students will develop systematic problem-solving skills, team work, workplace readiness skills, ethics, reliability, record keeping, on-site job mentoring, and phone skills. Students will also disassemble several generations of computers and reassemble them, noting similarities and differences between the various models. As each computer is disassembled and reassembled, various faults will be inserted into them, and students will have to discuss in groups what the best solutions to the problem are. Criteria for Enrollment: Juniors and Seniors with a 2.5 grade point average, strong interest in the subject matter and teacher recommendations. Pre-requisites: Algebra I or higher, Physical Science or higher, Computer Science. Multimedia Development Grades: 11-12 908404 Credit: 1 This is a course in Digital Media Development. Students will develop a basic understanding of how a computer stores and manipulates digital information, how to build spreadsheets and layout documents for publishing, demonstrate a basic understanding of the concepts associated with digital media production and perform basic operations associated with image editing. Additional instruction will be provided on methods to acquire, edit, and export digital sound; assemble interactive and non-interactive multimedia presentations; create and edit digital video clips and shorts; and build and edit basic 3-D animations. Prerequisites: Successfully completed or currently enrolled in Algebra II. Computer Science I Grades: 10-12 908204 Credit: 1 This course will cover the functional parts and basic operation of the personal computer. Programming in basic will be taught with emphasis on problem-solving skills. Basic word processing skills will be incorporated into the curriculum. Internet access will be available to all students. A local area network will introduce students to data communications. The windows environment will be used to allow students to access information quickly and easily. Prerequisite to Computer Science II. Computer Science II Grades: 10-12 908304 Regular Credit: 1 908305 Honors Credit: 1 This course will introduce the student to programming in C++ programming languages with emphasis on problem-solving skills. Students are on the computer programming independently approximately 75% of the time. In order to schedule Computer Science II a student should have passed Computer Science I with an A or a B. Without meeting this criteria, a student must have written permission of the Computer Science II teacher and his/her parents. Computer Science AP can be scheduled only with permission from the instructor. Digital Graphics and Animation Grades 10-12 908504 Credit: .5 In the Digital Graphics course, students will use graphics, images, and/or video to create content-oriented productions. The media used within these productions will be developed, edited, or otherwise manipulated by the students. Final products should reflect multimedia elements, knowledge of design theory, effective use of productivity tools, and the conveyance of content-rich information. Web Mastering Grades 10-12 908604 Credit: .5 Concepts of web communication will be studied and explored. Students will design, develop, and maintain web pages using appropriate current editors and/or tagging languages. Students will demonstrate technical knowledge of the equipment and an ability to use a variety of input devices, file formats and transfer methods. Students will gain proficiency in the use of the various browsers used to navigate the web and will study connectivity issues as needed. Security and privacy issues, copyright infringement, trademarks and other legal issues relating to use of the web will be studied. Students will use appropriate search methods and applications to retrieve and evaluate information and use a variety of web communications. Career possibilities related to the internet and web design will be explored. Printer Friendly Version
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