# Math Department Course Descriptions

This is a one-year college prep course that meets state graduation requirements. This course includes the following topics: An overview of functions (linear, quadratic and exponential) in function form, graphs, and tables; linear equations and inequalities in one and two variables; geometric constructions; congruence and rigid motions; geometric relationships and properties of triangles, parallel lines and quadrilaterals; analyzing and interpreting data in one and two variables.

CSU/UC: Math(c)

This is a one-year college prep course that meets state graduation requirements. This course includes the following topics: similarity; coordinate and three-dimensional geometry; trigonometric ratios; quadratic functions; quadratic equations; probability.

Prerequisite: Integrated Math 1/Algebra 1

CSU/UC: Math(c)

The following units will be covered in Integrated Math 3: statistics (random processes), circles and conics, trigonometric functions, exponential functions, functions capstone, rational and polynomial expressions. This course will complete the 3-year Integrated Math series and includes remaining High School Common Core Math Standards that are not covered in Integrated Math 1 and Integrated Math 2.

Prerequisites: Integrated Math  2/Geometry

CSU/UC: Math(c)

This course is designed for students who are interested in pursuing STEM fields in college. The pace of this course is accelerated. It includes all topics covered in Integrated Math 3, as well as vectors, complex numbers and advanced trigonometric function analysis. The following units will be covered in Integrated Math 3 STEM: statistics (random processes), circles and conics, trigonometric functions, vectors, exponential functions, functions capstone, rational and polynomial expressions. This course will complete the  3-year Integrated Math series and includes the remaining High School Common Core Math Standards and a variety of the “plus” standards that are not covered in Integrated Math 1 and Integrated Math 2.

Prerequisite: Integrated Math 2/Geometry

CSU/UC: Math(c)

This is a one-year college prep course that extends the Integrated Mathematics series. The course will include a deeper exploration of trigonometric, rational, piecewise, exponential and logarithmic functions. Students will explore applications of complex numbers and vectors as well as broaden their understanding of statistical regression and probability.

Prerequisite: Integrated Math 3 or Integrated Math 3 STEM

CSU/UC: Math(c), college prep elective(g)

Statistics introduces students to elements of statistical concepts, techniques, and tools for collecting, analyzing, and drawing conclusions from data as applied in business. The course focuses on the student as a user and producer of statistics to inform and support decision-making in business, with emphasis on the use of business-oriented computer statistical instruments.  Students are exposed to four broad conceptual themes:

1. Exploring Data: describing patterns and departures from patterns
2. Sampling and Experimentation: planning and conducting a study
3. Anticipating Patterns: exploring random phenomena using

probability and simulation

1. Statistical Inference: estimating population parameters and testing

hypotheses

Students who successfully complete the course will learn how to organize and describe distributions of data using many different mathematical methods. Given visual displays of the distribution of several variables, students will compare and contrast the distributions. Students will determine and discuss the center, spread, symmetry, skewed distributions, and outliers of given data.

Prerequisite: Integrated Math 3 or Integrated Math 3 STEM

CSU/UC: Math(c), Elective(g)

The AP Statistics course lends itself naturally to a mode of teaching that engages students in constructing their own knowledge. For example, students working individually or in small groups can plan and perform data collection and analyses where the teacher serves in the role of a consultant, rather than a director. This approach gives students many opportunities to think through problems, make decisions, and share questions and conclusions with other students as well as with the teacher. Important components of the course should include the use of technology, projects and laboratories, cooperative group problem- solving, and writing, as a part of concept-oriented instruction and assessment. This approach to teaching AP Statistics will allow students to build interdisciplinary connections with other subjects and with their world outside school.

Prerequisite: Integrated Math 3 or Integrated Math 3 STEM

CSU/UC: Math(c), Elective(g)

Calculus AB and Calculus BC are primarily concerned with developing the students' understanding of the concepts of calculus and providing experience with its methods and applications.  The courses emphasize a multi-representational approach to calculus, with concepts, results and problems being expressed graphically, numerically, analytically and verbally. Students explore connections among the various representations of limits, derivatives, and integrals.

Prerequisite: Pre-Calculus/Integrated Math 4 or Integrated Math 3 STEM

Summer Assignments:
• Create an account on Khan and do some simple review.
• Create an account on Edaptext. This program will be sent out in late June or early July.
• If you have any questions, please email Mr. Shieh at [email protected].

CSU/UC: Math(c), College-Prep Elective(g)

Calculus BC is an extension of Calculus AB rather than an enhancement; common topics require a similar depth of understanding. Both courses are intended to be challenging and demanding. Broad concepts and widely applicable methods are emphasized. In addition to the topics covered in Calculus AB, students in Calculus BC learn advanced integration techniques and analyze polar, parametric, and vector functions.  Calculus BC also includes the study of power series and various methods to determine convergence or divergence of a series. Students become familiar with Maclaurin series for common function and general Taylor series representations. Additional topics include the radius and interval of convergence and operations on power series.

CSU/UC: Math(c), Elective(g)

The AP Computer Science A course is an introductory course in computer science. Because the design and implementation of computer programs to solve problems involve skills that are fundamental to the study of computer science, a large part of the course is built around the development of computer programs that correctly solve a given problem. These programs should be understandable, adaptable, and, when appropriate, reusable. At the same time, the design and implementation of computer programs is used as a context for introducing other important aspects of computer science, including the development and analysis of algorithms, the development and use of fundamental data structures, the study of standard algorithms and typical applications, and the use of logic and formal methods.

PrerequisiteIntegrated Math 3/Integrated Math 3 STEM