Math Department

Math Sequence

Course Descriptions

Integrated Math 1

This is a one-year college prep course that meets state graduation requirements for Algebra 1. This course includes the following topics: An overview of functions (linear, quadratic and exponential) in functional 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, quadrilaterals and circles; Analyzing and interpreting data in one and two variables.

Graduation Credit: Mathematics
UC/CSU Area: Math (c)

Integrated Math 2

Integrated Math 3

The following units will be covered in Integrated Math 3: Statistics (Random Processes), Circles and Conics, Trigonometric Functions, Exponential Functions, Functions Capstone, Rationale 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.

Prerequisite: Integrated Math 2 or Geometry
Graduation Credit: Mathematics
UC/CSU Area: Math (c)

Integrated Math 3 STEM

This course is designed for students who are interested in pursuing STEM fields in college. This course is an enhanced course and not an honors course and will cover topics above the Integrated Math 3 course, including 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 or Geometry
Graduation Credit: Mathematics
UC/CSU Area: Math (c)

Explorations in Data Science

In this course students will learn to understand, ask questions of, and represent data through project-based units. The units will give students opportunities to be data explorers through active engagement, developing their understanding of data analysis, sampling, correlation/causation, bias and uncertainty, modeling with data, making and evaluating data-based arguments, and the importance of data in society. At the end of the course, students will have a portfolio of their data science work to showcase their newly developed knowledge and understanding.

Prerequisite: Integrated Math 2
Graduation Credit: Mathematics
UC/CSU Area: Math (c); College Prep Electives (g)

Pre-Calculus/Integrated Math 4

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
Graduation Credit: Mathematics
UC/CSU Area: Math (c); College Prep Electives (g)

Senior Math Seminar

This elective math course is intended for 12th graders, who have recently completed Integrated Math 3, and serves to unify concepts from previous mathematical studies and assists students in clarifying their conceptual understanding of algebra and geometry. The topics included in this course are those identified by the California State University system as essential entry-level skills necessary for successful completion of a four-year degree. The course will focus on concepts involving number sense, both linear and non-linear algebra, and geometry.

Graduation Credit: Mathematics
UC/CSU Area: Math (c)

AP Calculus AB

Calculus AB is 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. The connections among these representations also are important.

Prerequisite: Integrated Math 3 STEM or Pre-calculus/Integrated Math 4.
Graduation Credit: Mathematics
UC/CSU Area: Math (c); College Prep Electives (g)
UC/CSU Weighted

AP Calculus BC

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

Prerequisite: AP Calculus AB
Graduation Credit: Mathematics
UC/CSU Area: Math (c); College Prep Electives (g)
UC/CSU Weighted

AP Statistics

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 ample opportunity 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
Graduation Credit: Mathematics
UC/CSU Area: Math (c); College Prep Electives (g)
UC/CSU Weighted

AP Computer Science

The AP Computer Science 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 fundament data structures, the study of standard algorithms and typical applications, and the use of logic and formal methods.

Prerequisite: Integrated Math 3, Integrated Math 3 STEM, or Algebra 2, AND Computer Programming
Graduation Credit: Mathematics, Applied Arts, Career Technical Education (CTE)
UC/CSU Area: College Prep Electives (g)
UC/CSU Weighted

Staff

Chun-Yao Chang Math Teacher

cchang@cuhsd.org
Wei-Ling Chu Math Teacher

wchu@cuhsd.org
Rio Fujita Math Teacher

rfujita@cuhsd.org
Doumer Liu Math Teacher

dliu@cuhsd.org
Erick Nguyen Math Teacher, CTE Teacher

enguyen@cuhsd.org
Manju Sardana Math Teacher, CTE Teacher

msardana@cuhsd.org
Roma Rajpal Math Teacher

rrajpal@cuhsd.org
Radha Kanekal Math Teacher

rkanekal@cuhsd.org
Sameen Shoenhair Math Teacher, Department Chair

sshoenhair@cuhsd.org
Parimal Pandit Math Teacher

ppandit@cuhsd.org