# Mathematics

Graduation Requirements: 30 Credits. (Note: UC requires 3 years; 4 years recommended)

Note: If a student is placed in a math class (as a result of the appeal process) for which he does not meet the pre-requisites, a contract will be drawn up, and the student will be expected to attend the 7th period math tutorials for the semester.

**P = UC/CSU approved; H = Honors; AP = Advanced Placement, *Please note: The abbreviations P, H and AP are all UC/CSU approved courses**

## Mathematics Courses

- Algebra 1 - P
- Algebra 1A
- Algebra 1 (H)
- Geometry - P
- Algebra 1B - P
- Geometry (H)
- Algebra 2 - P
- Algebra 2 w/ Trigonometry - P
- Algebra 2 W/ Trigonometry (H)
- AP COMPUTER SCIENCE PRINCIPLES
- AP Calculus AB
- AP Calculus BC
- Probability Statistics - P
- AP Computer Science A
- Intro to College Mathematics - P
- Intro to Computer Science - P
- Personal Finance Essentials - P
- Pre-Calculus - P
- Pre-calculus (H)
- AP Statistics

## Algebra 1 - P

## Algebra 1 - P

COURSE NUMBER: M102

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: None

LEVEL: 9th grade

This college preparatory course offers an integrated approach to the study of algebra. Topics include variables, and linear equations, the algebraic properties, inequalities, polynomials, fractional equations, systems, graphing, quadratic equations, and irrational numbers. Probability and statistics are introduced, and problem solving strategies are utilized.

**Note: A TI graphing calculator is required for this course.**

## Algebra 1A

## Algebra 1A

COURSE NUMBER: M104

STATUS: (See Algebra 1B)

CREDITS: 10

CAMPUS: DLS

PREREQUISITES:
Performance on the Entrance Examination, Teacher Recommendation

LEVEL: 9th grade

The first of a two-part sequence, this course focuses on improving basic mathematical skills and introducing the beginning elements of algebra. Emphasis is placed on developing computational skills, conceptual understanding, and problem solving strategies. Strands include: properties and operations with real numbers, writing, solving, and graphing linear equations and inequalities, and direct variation and functions. Topics in statistics and using the TI graphing calculator will be introduced.

***Note: Only five credits can be allocated for NCAA eligibility.**

## Algebra 1 (H)

## Algebra 1 Honors

COURSE NUMBER: M103

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES:
Performance on the Entrance Examination, Teacher Recommendation and Department Approval required.

LEVEL: 9th grade

This highly conceptual course is intended for students who demonstrate a strong interest and aptitude in mathematics. In addition to the traditional topics of algebra, the course will introduce and integrate segments in logic, finite mathematics, probability and statistics. Emphasis is placed on problem solving, reading, speaking, and writing about mathematics and real world applications. Students will be expected to use the TI graphing calculator to further enhance the study of algebraic concepts. This course is intended to provide a solid foundation for further algebra based mathematics courses.

**Note: **** A TI graphing calculator is required for this course.**

## Geometry - P

## Geometry - P

COURSE NUMBER: M201

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: Successful completion of Algebra 1. Those students with a grade of "D" in Algebra 1 are strongly encouraged to improve this grade through summer school. For entering 9th Graders: performance on the Entrance Examination; teacher recommendation and a Special Placement Exam in Algebra 1.

LEVEL: 9th,10th and 11th grade

Geometry is a course in the fundamentals of plane, solid, coordinate, and transformation geometry. It includes both inductive and deductive reasoning. Concepts relating to lines, planes, polygons, circles, loci and polyhedrons are studied. Algebraic techniques studies in algebra one are integrated and applied throughout the course.

## Algebra 1B - P

## Algebra 1B - P

COURSE NUMBER: M105

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: Algebra 1A or Teacher Recommendation

LEVEL: 10th grade

The second of a two course series, this course will review and further develop the topics discussed in Algebra 1 A. Themes highlighted in this course include: systems of linear equations and inequalities, exponents and exponential functions, quadratic equations and functions, polynomials and factoring, rational expressions and equations, and radicals. Furthering the development of the language of algebra is emphasized. The TI graphing calculator will be integrated throughout the course. This is a UC approved course only after both Algebra 1A and 1B have been completed.

**Note: *Only five credits can be allocated for NCAA eligibility.**

## Geometry (H)

## Geometry Honors

COURSE NUMBER: M202

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES:
For entering 9th Graders: performance on the Entrance Examination; teacher recommendation and a Special Placement Exam in Algebra 1. Two semester "A" average in Algebra 1 and an "A" in the second semester. Two semester "B" average in Algebra 1 (H) and a "B" in the second semester.

LEVEL: 9th and 10th grade

Geometry (H) is designed for students who seek more challenging problems than those offered in geometry. The course includes the basic elements of geometry: terminology, reasoning, angles, perpendicular and parallel lines, congruent triangles, trigonometry, circles and spheres, area and volume, constructions, the coordinate plane, transformations and vectors. It emphasizes critical thinking, problem solving strategies, and the use of technology throughout the course. To appreciate the power of logic as a tool for reasoning, the concept of proof is a substantial focus of the course.

## Algebra 2 - P

## Algebra 2 - P

COURSE NUMBER: M301

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: Successful completion of Geometry. Those students with a grade of “D” in Geometry are strongly encouraged to improve this grade through summer school.

LEVEL: 10th,11th and 12th

Algebra 2 is a comprehensive course which expands on the fundamental skills learned in Algebra 1 and introduces topics of advanced algebra. These include, but are not limited to, the structure of the real number system with an extension into the complex number system, a careful study of mathematical functions (constant, linear, quadratic, rational logarithmic, exponential), a reinforcement of the connection between algebra and geometry (conics and intersections of functions and conics), sequences and series, permutations, combinations and probability. The development of critical thinking skills, the ability to articulate mathematical ideas, independent learning, and the importance of working with other students are fundamental principles in this class.

## Algebra 2 w/ Trigonometry - P

## Algebra 2 W/ Trigonometry - P

COURSE NUMBER: M310

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: Two semester average of a "C" in Algebra 1 and a two semester average of a "C" in Geometry.

LEVEL: 10th-12th grade

Algebra 2 with Trigonometry is a comprehensive course which expands on the fundamental skills learned in Algebra 1 and introduces topics of advanced algebra. These include, but are not limited to, the structure of the real number system with an extension into the complex number system, a careful study of mathematical functions (constant, linear, quadratic, rational logarithmic, exponential, trigonometric), a reinforcement of the connection between algebra and geometry (conics and intersections of functions and conics), sequences and series, permutations, combinations and probability, circular functions, trigonometric functions, some applications of trigonometry to right angles, trigonometric identities, graphing of trigonometric functions.

## Algebra 2 W/ Trigonometry (H)

## Algebra 2 W/ Trigonometry Honors

COURSE NUMBER: M320

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS only

PREREQUISITES:
Two semester "A" average in Algebra 1 and Geometry with "A" in the second semester of each course. Two semester "B" average in Algebra 1 (H) and Geometry (H) with "B" in the second semester of each course. Department Approval required.

LEVEL: 10th or 11th grade

The development of critical thinking skills, the ability to articulate mathematical ideas, independent learning, and the importance of working with other students are fundamental principles in this class. A review of Algebra is included: the solution of linear and quadratic systems, operations with radical expressions, complex numbers, rational numbers, and logarithmic functions. The course also covers properties of matrices, properties of roots of equations, trigonometric and circular functions, trigonometric identities, polar coordinates and vectors, sequences and series, and statistics. It is intended for those students who have done well in Mathematics and who plan to enter the fields of Mathematics, Science, or related fields.

## AP COMPUTER SCIENCE PRINCIPLES

## AP Computer Science Principles

COURSE NUMBER: M602

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: "Sophomores an "A-" in Intro to Computer Science; Juniors and Seniors: must have a "B+" average in Algebra 1 and Geometry courses OR a "B-" average in Honors Algebra 1 and Honors Geometry"

LEVEL: 10th, 11th and 12th grade

AP Computer Science Principles offers a multidisciplinary approach to teaching the underlying principles of computation. The course will introduce students to the creative aspects of programming, abstractions, algorithms, large data sets, the Internet, cyber-security concerns, and computer impacts. AP Computer Science Principles also gives students the opportunity to use current technologies to create computational artifacts for both self-expression and problem solving. Together, these aspects of the course make up a rigorous and rich curriculum that aims to broaden participation in computer science. This is a yearlong course that focuses on the big ideas of computer science. It will utilize JavaScript in the programming component of the course. There will be two performance tasks that students will submit to the College Board before the multiple-choice exam in the spring.

**Note: A strong foundation of linear functions and composition of functions is needed, as well as strong problem-solving skills and understanding of the Cartesian plane.**

## AP Calculus AB

## AP Calculus AB - P

COURSE NUMBER: M501

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS and CHS

PREREQUISITES:
Two semester "B-" average with a minimum of a "B-" in the second semester in Honors Algebra 2 with Trigonometry and teacher recommendation., or two semester "B-" average with a minimum of a "B-" in the second semester in Honors Precalculus and teacher recommendation, or Semester 1 and Semester 2 both "A" in Precalculus and teacher recommendation.

LEVEL: 11th and 12th grade

Advanced Placement Calculus AB is designed to cover the topics normally covered in a first semester college Calculus course, and prepare the student to take the AP Calculus AB Examination. This course will cover a study of functions and their properties, the concept of limit, and techniques and applications of differentiation and integration. Students will be expected to sit for the Advanced Placement Examination.

**Note: A TI-84 calculator is required.**

## AP Calculus BC

## AP Calculus BC - P

COURSE NUMBER: M505

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: Two semester C average in Calculus AB and teacher recommendation

LEVEL: 11th & 12th grade

Advanced Placement Calculus BC covers the same topics as calculus AB, but includes additional topics usually covered in the second semester of a college calculus course. These additional topics include Euler’s method for solving differential equations, parametric, polar, and vector functions, integration by parts, partial fractions, and improper integrals, Taylor and Maclaurin series, and radius and interval of convergence of series. Students are expected to sit for the AP exam in May.

**Note: A TI-84 calculator is required.**

## Probability Statistics - P

## Probability Statistics - P

COURSE NUMBER: M403

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS and CHS

PREREQUISITES:
Two semester "C+" average in Algebra 2 with Trigonometry and teacher recommendation, or two semester "B-" average in Algebra 2 and teacher recommendation, or two semester "C" average in Pre-Calculus and teacher recommendation.

LEVEL: 11th and 12th grade

An introduction to the fundamental concepts and methods of statistics and probability. Calculators and word problems comprehension are vital components to this course. This course consists of an introduction to descriptive statistics and statistical inference. Topics include basic measures of central tendency and variability, elementary probability theory, sample sizes, hypothesis testing, correlation, regression, and analysis of variation.

## AP Computer Science A

## AP Computer Science A

COURSE NUMBER: M603

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: A "B+" average in Algebra 1 and Geometry or a "B-" average in Honors Algebra 1 and Honors Geometry

LEVEL: 11th and 12th grade

AP Computer Science A introduces students to computer science through programming. Fundamental topics in this course include the design of solutions to problems, the use of data structures to organize large sets of data, the development and implementation of algorithms to process data and discover new information, the analysis of potential solutions, and the ethical and social implications of computing systems. The course emphasizes object-oriented programming and design using the Java programming language. College Course Equivalent AP Computer Science A is equivalent to a first-semester, college-level course in computer science. The AP Computer Science A course requires that solutions of problems be written in the Java programming language. Because the Java programming language is extensive, with far more features than could be covered in a single introductory course, the AP Computer Science A Exam covers a subset of Java.

**Note: A strong foundation of basic linear functions, composition of functions, an understanding of the Cartesian plane, mathematical reasoning, and problem-solving strategies that require multiple approaches and collaborative efforts.**

## Intro to College Mathematics - P

## Intro to College Mathematics - P

COURSE NUMBER: M410

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: Two semester "C-" average in Algebra 2, Algebra 2 with Trigonometry, Honors Algebra 2 with Trigonometry, or Precalculus.

LEVEL: 11th and 12th grade

A year long class covering math topics in two different areas, including some topics not covered in Pre-Calculus. Topics covered are: Consumer math, Probability, Statistics, Graph Theory and Voting and Apportionment, as well as, problems designed around problem solving. Students are encouraged to experiment with and use several different problem solving methods to approach problems in the areas of number theory, graphing, functions, systems of linear equations and inequalities, and geometry.

## Intro to Computer Science - P

## Intro to Computer Science - P

COURSE NUMBER: M601

STATUS: UC/CSU & NCAA Approved

CREDITS: 5

CAMPUS: DLS

PREREQUISITES: None

LEVEL: 9th - 12th grades

This course exposes students to the fundamental principles and concepts of computer science and programming. Students will learn to code through hands-on assignments which include game design, lab completion, independent projects and pair programming. This course serves as both an introduction to, and foundation for, further study in computer science.

## Personal Finance Essentials - P

## Personal Finance Essentials - P

COURSE NUMBER: M331

STATUS: UC/CSU Approved

CREDITS: 5

CAMPUS: CHS

PREREQUISITES: A "C-" or above in Algebra 2 w/Trigonometry, Algebra 2

LEVEL: 11th and 12th

This course is designed to provide a basic foundation in personal finance, providing students with real work topics to prepare them for adult life. This course will cover the following topics: Behavioral Finance, Taxes, Checking, Saving, Paying for College, Types of Credit, Managing Credit, Investing, Insurance, Budgeting.

## Pre-Calculus - P

## Pre-Calculus - P

COURSE NUMBER: M305

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES:
Two semester "C+"average in Algebra 2 with Trigonometry with a minimum of a "C+" in the second semester and teacher recommendation or two semester "B+" average in Algebra 2 with a minimum of a B+ in the second semester and teacher recommendation

LEVEL: 11th and 12th grade

This course includes a study of trigonometry including the trigonometric functions, identities, equations, graphs, and applications is the focus of the first semester. The first semester also includes the study of conic sections, vectors and the nature of graphs. This course also includes a study of linear relations and functions, solving systems of equations and inequalities, and polynomial and rational functions. Exponential and logarithmic functions, statistics, sequences and series are also studied.

**Note: ****Each series of concepts covered in a two week span will have a test over the course outcomes. Each semester will have a cumulative final exam. A TI graphing calculator is required for this course.**

## Pre-calculus (H)

## Pre-Calculus Honors

COURSE NUMBER: M309

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS and CHS

PREREQUISITES:
Two semester "B" average in Algebra 2 with Trigonometry with a minimum of a "B" in the second semester and teacher recommendation or two semester "C" average in Algebra 2 with Trigonometry (H) with a minimum of a "C" in the second semester and teacher recommendation

LEVEL: 11th and 12th grade

An in-depth study of trigonometry including the trigonometric functions, their inverse functions, identities, equations, graphs, and applications is the focus of the first semester. This course also includes a study of linear relations and functions. The nature of graphs, conic sections, exponential and logarithmic functions, vectors, statistics, sequences, and series are also studied.

**Note: ****Each chapter will have a test over the course outcomes. Quizzes will happen throughout the chapter. Each semester will have a cumulative final exam. A TI-84 calculator is required.**

## AP Statistics

## AP Statistics

COURSE NUMBER: M500

STATUS: UC/CSU & NCAA Approved

CREDITS: 10

CAMPUS: DLS and CHS

PREREQUISITES:
Two semester "C" average in Honors Pre-Calculus and teacher recommendation, or two semester "B" average in Algebra 2 with Trigonometry and teacher recommendation, or Semester 1 and Semester 2 both "A" in Pre-Calculus and teacher recommendation.

LEVEL: 12th grade

AP Statistics is a college-level, non-calculus based course in introductory statistics. This course is designed to present strategies for collecting, organizing, analyzing, and drawing conclusions from data. Students will work on projects involving the hands-on gathering and analysis of real world data. They will learn to interpret and judge the statistical information in the world around them. Calculators will allow students to investigate and explore statistical concepts. All students are expected to take the AP exam in May.