# Science and Engineering Curriculum

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COMPUTER PROGRAMMING AND ENGINEERING DESIGN
In Computer Programming and Engineering Design, students implement a variety of software applications designed to highlight basic tools and concepts including number representations, loops, conditions, the procedural model of programming, and basic object-oriented concepts. The applications are selected from various relevant math, science, and engineering topics. Students will also examine standard methods of representing engineered structures, methods of measurement, and will produce engineering drawings and CAD models of engineered parts and structures.

HONORS MATH 1A - GEOMETRY
The Honors Mathematics 1A course provides the mathematically talented students with an extended study of algebra topics including functions and the real number system, complex numbers, exponential and logarithmic functions, sequence and series, and trigonometry. Graphing, problem-solving, and analysis are stressed. The use of technology is infused to gather, analyze, and communicate mathematical information as a tool for mathematical analysis and a way to study the real world.  The curriculum focuses on the terminology, skills and ideas students must master as a preparation for the sophomore level study of functions. The underlying theory, as well as application, will be stressed. Students will explore new topics and solve problems in other disciplines through discovery, investigation, and through the utilization of calculators, computers, and appropriate software.

HONORS MATH 1B - ALGEBRA 2
The Common Core State Standards and the eight Standards of Mathematical Practices drive this curriculum. Students will extend their knowledge of algebraic and statistical concepts by analyzing various relationships. Specifically, learners will study inverses and new function families: polynomial, rational, radical, exponential, logarithmic, and trigonometric, with a specific emphasis on understanding polynomial equations. Students will also deepen their knowledge of probability. This course covers most of the Algebra 2 Common Core State Standards. Statistics will be addressed in AP Statistics, while trigonometric functions will be addressed in Honors Math 2. Series and sequences will be introduced as an independent study, and then further explored in Honors Math 2.

Science and Engineering A.P. Biology provides an understanding of the unifying themes and fundamental concepts and principles of biology with an emphasis on inquiry and critical thinking skills including problem-solving, mathematical reasoning, and experimental investigations. Topics of study include molecules and cells, heredity and evolution, and organisms and populations. Laboratory work is an integral component of this introductory, accelerated course. Teaching strategies include in depth laboratory investigations, demonstrations, collaborative peer-to-peer discussions, and student hands-on experiences. Utilization of technology to conduct scientific investigations includes internet and online resources, probe ware, spreadsheets, and presentation software, as well as the experimental apparatus of biology.

HONORS MATH 2 - PRE-CALCULUS
Pre-Calculus is the study of discrete topics in advanced algebra and trigonometry. Students will investigate theoretical, numerical, graphical, and spatial topics upon which to build their study of advanced mathematics. Pre-Calculus provides the background for mathematical concepts, problems, issues, and techniques that appear in the study of calculus, including but not limited to: functions, trigonometry, polynomials, complex numbers, matrices, series and sequences, limits and continuity, and derivatives. The use of technology is infused in this course to gather, analyze, and communicate mathematical information.

The S&E AP Statistics course will introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, sampling and experimentation, probability and simulation, and statistical inference. In addition to traditional methods of instruction, students will be expected to use a graphing calculator, statistical software, and internet-based applets to explore complex statistical problems. Ultimately, the goal of the course is that students will be successful on the S&E AP Statistics exam. Further, an emphasis will be placed on statistical problems as they relate to science and engineering processes. This will culminate in a research-based project in which students will apply skills learned throughout the course.

The AP Chemistry course is designed to be the equivalent of the general Chemistry course usually taken during the first college year. For some students, this course enables them to undertake, as freshmen, second-year work in the Chemistry sequence at their institution or to register in courses in other fields where general chemistry is a prerequisite. For other students, the AP Chemistry course fulfills the laboratory science requirement and frees time for other courses. AP Chemistry should meet the objectives of a good Chemistry course. Students in such a course should attain a depth of understanding of fundamentals and a reasonable competence in dealing with chemical problems. The course should contribute to the development of the students’ abilities to think clearly and to express their ideas, orally and in writing with clarity and logic. The college course in general chemistry differs qualitatively from the usual first secondary school course in chemistry with respect to the kind of textbook used, the topics covered, the emphasis on chemical calculations and the mathematical formulation of principles, and the kind of laboratory work done by the students. Quantitative differences appear in the number of topics treated, the time spent on the course by students, and the nature and variety of experiments done in the laboratory. Students study the structure of matter, kinetic theory of gases, chemical equilibria, chemical kinetics, and the basic concepts of thermodynamics. Students use computers, instruments, and techniques found in a college chemistry laboratory course. AP Chemistry is designed to qualify the student for placement and college credit for chemistry.

ELECTRONICS
Science and Engineering Electronics is designed for students to explore theories of electronics using practical, hands-on methods. Students will be grounded in the safe use of tools and measurement devices, as well as basic electrical theory, components, and circuits. Students are expected to apply knowledge they have gained toward building, troubleshooting, analyzing, and explaining the operation of various electronic circuits and devices. By the end of the course, students will be able to read schematics, use basic tools, measure devices, construct circuits, design and program microcontroller-based electronic systems, and apply their knowledge toward designing solutions for increasingly difficult problems. Students will have an opportunity to combine their knowledge of computer programming and electronics in an original design project in which they will build, test, troubleshoot, present and defend a solution.

Students will complete the requirements of the Advanced Placement Computer Science course, as well as examining and implementing various computer applications and independent projects. Throughout the course, interdisciplinary units will enable students to apply their newly acquired sophisticated programming techniques to practical situations. The culminating project is a major component assigned to teams of students with the explicit purpose of reinforcing program design, style, and algorithm selection.

Science/Engineering Calculus is a full year course in calculus. It is designed for students who plan on majoring in one of the specialized areas of engineering, science or mathematics. Calculus is explored through the interpretation of graphs and tables as analytic methods (multiple representation of functions). Derivatives are interpreted as rates of change and local linear approximation. The definite integral is interpreted as total change over a specific interval and as a limit Riemann sum. The use of technology is integrated throughout the book to provide a balanced approach to the teaching and learning of calculus that involves algebraic, numerical, graphical, verbal, and written methods. Rich array of interesting applications in biology, business, chemistry, engineering, physics, the social sciences, and statistics are included in the course of learning. Analytical and critical thinking will be stressed at all times as research indicated that mastery of the skills required for success in the Science/Engineering fields.

ADVANCED PLACEMENT PHYSICS C - MECHANICS