INSTRUCTION

The specialty curriculum consists of required and elective courses. Each student takes a major mathematics course and a major science course each semester. These courses follow a required sequence for most students. Under unusual circumstances students may request changes in the sequence based on prior schooling. Most students take at least one Math/Science elective course in addition to their major courses. Although not required, it is highly recommended. Not all electives are offered every semester.

Advanced Standing.    Some students enter the department having completed one or more of the required courses. Every effort will be made to accommodate such students if it can be determined that their prior experience has been a good match for what is offered within the department.

Advanced Placement (AP) Examinations. Math/Science specialty courses designated AP/Honors prepare students to take the Advanced Placement (AP) Examination in those subjects. These are in Biology, Chemistry, Physics, Calculus and Statistics. However, the content of each course is not specifically tied to the AP Exam. In Chemistry the volume of material is so great that the Advanced Topics course is strongly recommended as a companion to Honors Chemistry.

Required Course Sequences. Students enter the Math/Science Program in grades 8 - 11. The vast majority enter in grades 8 or 9. The program routinely requires the course sequence described below, but circumstances and a student’s background may dictate changes, which the Supervisory Chair of Math/Science must approve in advance.


Honors Algebra I (Grade 8) A rigorous study of the fundamental structure of the real number system. Throughout, the course gives attention to the algebraic properties and operations. Students learn to use mathematics effectively through a variety of problems, in questioning, and open-ended problem solving. Students see how mathematical ideas fit into a larger context and use experiments that include the use of higher order thinking skills in daily assignments. Students use calculators, graphing calculators, and computers. This course thoroughly integrates and makes connections to other areas of mathematics, to other disciplines, and to the real world. (1 unit required)

Honors Geometry (Grade 9) The course develops a student’s ability to reason correctly, to try new ideas and to solve problems. This course emphasizes the application of geometric ideas to natural and physical phenomena. It develops skills in visualization and pictorial representation of concepts. Honors Geometry integrates coordinate and transformational views of geometry with the traditional synthetic approach. Such integration enables students to see the unity in mathematics while solidifying algebraic skills. (2 units required)

Honors Algebra II/Trigonometry (Grade 10) A study of variables, equations, and graphs within the content of data analysis. To use linear and nonlinear algebraic equations, students analyze real-life data then construct mathematical models that best fit the data. Students use computers and graphing calculators to create meaningful visual representations of algebraic concepts. To improve critical thinking, students explain, verify, justify and interpret routine and non-routine problems individually or in groups. Students complete assignments promptly, neatly, and in a required format. (2 units required)

AP/Honors Calculus (Grade 11 or 12) Prepares students to take the Advanced Placement Calculus BC Examination, although the exam is not required. The course uses a “reform” approach. This approach gives meaning to the symbols and develops students’ insight while illuminating questions in the physical sciences, engineering, and the social and biological sciences. Each topic is covered numerically, graphically and algebraically. (2 units required)

AP/Honors Statistics/Discrete Mathematics (Grade 12) In the fall, Discrete Mathematics covers a broad array of topics from both discrete and continuous mathematics. Students begin with the basics of formal and informal logic and apply these principles to the construction of proofs in set theory and number theory, including a section on mathematical induction. Students also study advanced topics from calculus, such as vector-valued functions, multivariable real functions, and first order differential equations. Topics from topology and the foundations of mathematics are covered as time permits. In the spring, Statistics uses a calculus-based approach to examine and apply the concepts of probability, descriptive statistics and inferential statistics. The class focuses on student collected data and the use of exploratory data analysis to examine the data. Students are prepared to take the AP Statistics Examination. (2 units, required for some students)

Honors Life Science (Grade 8) Introduces hands-on methods in science to 8th graders within the context of biology. During the fall semester students become familiar with laboratory equipment, procedures and methods. They study microscopy and data analysis and learn to do formal laboratory reports. Topics covered include an introduction to chemistry, biochemistry, cell biology and genetics. The spring semester acquaints students with taxonomy and the five kingdoms with emphasis on the animal kingdom, focusing on anatomy, physiology, ecology, and biodiversity. (2 semesters required)

Honors Integrated Science (Grade 9) The course stresses that science is not about memorizing facts but rather is a continuous process of questioning and testing ideas. The year starts with an algebra and trigonometry based physics course.  Throughout the year, there is effort to apply concepts introduced in students’ mathematics courses.  At the start of the second semester, the course becomes a rigorous introductory level chemistry, with emphasis on learning how to draw conclusions and support them with collected data.  (2 semesters required)

AP/Honors Chemistry (Grade 10) Explores the composition, structure and properties of substances and the transformations that they undergo. Students use factual knowledge as the basis for creative approaches to solving problems, using critical thinking, trial and error, intuition and (above all) patience. Class is taught in a modified lecture style that allows for constant student-teacher, student-student interaction. Laboratory is an integral part of the course and special emphasis is placed on both oral and written expression of scientific concepts. Students receive training for Outreach in chemistry related topics. (2 units required)

AP/Honors Biology (Grade 11) Designed to be the equivalent of a college introductory biology course, covering three general areas: Molecules and Cells; Heredity and Evolution; and Organisms and Populations.  The course’s two main goals are that students develop a conceptual framework for modern biology and gain an appreciation of science as a process. Primary emphasis is placed on developing an understanding of concepts rather than on memorizing terms and technical details, with attention to eight recurring themes: Science as a Process; Evolution; Energy Transfer; Continuity and Change; Relationship of Structure to Function; Regulation; Interdependence in Nature; Science, Technology, and Society. (2 units required)

AP/Honors Physics (Grade 12) The equivalent of a college physics course usually taken by physics and engineering majors during their first or second year, providing an extensive introduction to fundamental concepts of physics in topics including Newtonian mechanics, thermodynamics, modern or “quantum” mechanics, optics, and electricity and magnetism. The course prepares students for the college physics sequence and for the Advanced Placement (AP) Physics C exam (E&M), with emphasis on concepts, problem-solving, and sound mathematical techniques. It also prepares students for any entry level, calculus-based college physics course. (2 units required)

Additional Requirements

 Computer Programming I (Grades 9-12) This course provides students with an introduction to computer programming.  Students will write 3-dimensional games and videos in Alice, using a graphical developer’s interface. Students will learn the basic elements of object oriented programming, including objects, methods, procedures and recursion.  Students will further explore the programming concepts learned with Alice using Jeroo and the .NET platform.  Students will write a program of their own design as the final project of this course.  The critical skills of problem solving and decision making will be reinforced as students learn to write computer applications. (1 semester required)

Computer Programming II (Grades 9-12) This course provides students with intermediate exploration of computer programming.  Students will learn more advanced computer programming techniques and concepts by building and programming Lego Mindstorms robots, using a graphical developer’s interface and a subset of the Java language.  Students will also learn the Python programming language as they expand their knowledge of computer programming – designing, coding and testing.  Students will learn the elements of object oriented programming, including objects, methods, procedures and recursion.  Students will write a program of their own design as the final project of this course.  The critical skills of problem solving and decision making will be reinforced as students learn to write computer applications. (1 semester required)

Fundamentals of Research (Grade 11) This course is designed as an introductory to the fundamentals of scientific research. Students will explore, create, and model processes involved in conducting a scientific investigation. Topics covered include ethics in research, experimental design, methods of data collection, data analysis, literature review and critique of published work, writing a conclusion, citing and listing resources, and the peer review process. (1 semester required)

Senior Independent Research Project (Grade 11 or 12) The research experience usually begins during a student’s junior year. The student is required to develop a research question in an area of interest: mathematics, science, or computer science. There are three components to the research project: the practicum research experience in a laboratory, the written research paper, and an oral presentation. The goal of this experience is to provide seniors with a hands-on research experience and a comprehensive scientific project. (2 semesters required)

Electives in Mathematics

The listing below is not meant to be complete. The faculty designs and teaches new electives each year to add to this list.

The Art of Problem Solving I/II (Grades 10-12) Permission of the instructor required. This course is designed for students who are seriously interested in developing their math problem solving techniques and critical thinking skills. Prerequisite: Passion for doing math and finding a joy in challenges (.5 unit elective each)

Advanced Topics in Calculus (Grade 11-12) Advanced Topics in Calculus is an elective course for the math student who would like to continue the exploration of calculus topics into multivariable calculus.  Vector functions, partial derivatives, and multiple integrals with their applications are included in the course. (.5 unit elective)

Geometrical Patterns and Quilting (Grades 9-12) Emphasis will be placed on the principles of geometry in rotary cutting and piecing of quilts.  This is a total laboratory class and will create a quilted product. (1 unit elective)

History of Math (Grades 9-12) An exploration of historical ideas and theories, as well as mathematics. (.5 unit elective)

The listing below is not meant to be complete. The faculty designs and teaches new electives each year to add to this list.

Advanced Topics in Chemistry (Grades 10-12) Covers additional topics in chemistry, including electrochemistry, ionic reactions, kinetics and thermodynamics. This is a good prep course for the AP Chemistry Exam. Some laboratory work is included and students have the opportunity to do some presentations. (.5 unit elective)

Advanced Topics in Physics (Grades 10-12) Students study topics that cannot (for time reasons) be included in the sequenced curriculum. Students also have opportunity for extra preparation for the AP exam by working on special problem sets that are beyond the Honors Physics curriculum. (.5 unit elective)

Advanced Placement in Environmental Science (Grades 11-12) This course is designed to be the equivalent of a one semester introductory college course in Environmental Science.  It encompasses biology, chemistry, geology, environmental studies, ecology, toxicology, geography, demography, agriculture, forestry, political science, and economics.  Emphasis is placed on rigorous scientific principles and analysis and includes a laboratory component.  Students will be prepared and have the option to take the AP Environmental Science exam upon completion of the course.  (1 unit elective)

Chemistry or Biology Lab Technician (open to a limited number of students, permission of the instructor required)  Students will be involved in the preparation of solutions, set up of materials for lab, maintaining an orderly stock room and keeping a current inventory of materials. (.5 unit elective)

Introduction to Nutritional Biology/Health (Grades 11-12) This is an elective class that will explore human nutritional health.  Topics include biochemical molecules, anatomy and physiology of the digestive system, the food pyramid, nutritional labeling, dietary trends, improving food selections, diseases/disorders of the digestive system, and genetically modified foods. Lab activities will be included. Prerequisites:  Biology and Chemistry (.5 unit)

Ethics in Science (Grades 10-12) The class is designed to help students explore guidelines and principles used in making ethical decisions.  Students are presented with “ethical dilemmas” through lectures, case studies, videos, newspaper and magazine articles and various position/reaction papers, and role-play.  Students are encouraged to base their decisions on the facts, the ethical standards that apply, and how the decision will affect everyone involved.  No prerequisite  (.5 unit elective)

History of Science & Mathematics (Grades 10-12)  This course will study the development of scientific/mathematic concepts and their historical significance.  The influence of both on cultural values (e.g., religious, political) will be considered as well as their importance to scientific/mathematic research. (.5 unit elective)

Introduction to Electricity (Grades 10-12) The course is designed to introduce students to introductory concepts of electricity and DC currents.  Topics covered include DC current design, the use of probes, current boards, and digital meters, resistors, and capacitors and their functions.  Other topics include Ohm’s Law, Kirchoff’s Loop rule and circuits with resistors and capacitors both in series and parallel.  Students will further explore these concepts via a minimum of eight to ten hands-on activities on computer simulation laboratories. Prerequisite: Algebra I (.5 unit elective)

Introduction to Space Science (Grade 9) Students will explore the mysteries of the universe in this laboratory-based course.  Is there life out there on other terrestrial bodies?  Students will examine the possibilities of where life came from on Earth, make comets, and examine how stars are born and how they die.  Astrophysics and stargazing with a homemade telescope will also be done.  This course incorporates the scientific method of study and all disciplines of science to discover what makes up the universe. (.5 unit required)

Introduction to Biotechnology (Grades 9-12) Biotechnology covers the basic techniques of DNA science.  The course includes principles of gel electrophoresis, restriction analysis of DNA, DNA fingerprinting techniques, and PCR.  Use of the genomic databases and case studies in bioethics are also included in this course.  This may sound complex, but the course is really simple and fun. (prerequisite – Introduction to Biology or Biology.  Satisfies 1 semester of 4x4.) (.5 unit elective) 

Fundamentals of Research (Grade 11) The course is designed as an introduction to the fundamentals of scientific research. Students will explore, create, and model processes involved in conducting a scientific investigation. Topics covered include ethics in research, experimental design, methods of data collection, data analysis, literature review and critique of published work, writing a conclusion, citing and listing resources, and the peer review process. (0.5 unit elective required)

Senior Independent Research Project (Grade 11 or 12) The research experience usually begins during a student’s junior year. The student is required to develop a research question in an area of interest: mathematics, science, or computer science. There are three components to the research project: the practicum research experience in a laboratory, the written research paper, and an oral presentation. The goal of this experience is to provide seniors with a hands-on research experience and a comprehensive scientific project. (1 unit elective required)

Electives in Computer Science

The list of courses below, offered by the school’s Technology staff, is not meant to be complete. Technology offerings are subject to faculty design and student interest.

AP Honors Computer Science A (Grades 10-12) A large portion of this course will be devoted to the design and implementation of computer programs to solve a given problem. In addition to understanding computer programming in general, and the Java language in particular, students will gain a clear understanding of the process of analyzing problems, proposing and evaluating solutions and implementing those solutions that are appropriate to program. Students will leave this class with the ability to solve new problems and adapt to new programming languages and methodologies that they will encounter in future school and job related assignments. This course emphasizes programming methodology, procedural abstraction and the in-depth study of standard algorithms and data structures. Students will work individually and with classmates to develop small and medium sized computer applications, as well as study the large Grid World Case Study program. Students will also study the history of computing and basic hardware and software components of computer systems, as well as the ethical, responsible use of these systems. (1 unit elective)

Computer Programming III (Grades 9-12) Students will learn the C programming language and broaden their view of computer programming. Students will gain a more in-depth understanding of the workings of computer programs, compilers, and operating systems through the use of the C programming language. (0.5 unit elective)

Computer Programming IV (Grades 10-12) Students will learn the fundamentals of object oriented computer programming using the C++ language in a Linux environment. (0.5 unit elective)