# Mathematics

NOTE: All Pre-req GPA’s are non-weighted

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.

**Please note: The abbreviations P, H and AP are all U.C. approved courses P = U. C. approved; H = Honors; AP = Advanced Placement*

## Courses

- Algebra 1 A - P
- Algebra 1 B - P
- Algebra 1 - P
- Algebra 1 (H)
- Geometry - P
- Geometry (H)
- Algebra 2 - P
- Algebra 2 with Trigonometry - P
- Trigonometry (P)
- Pre-Calculus - P
- Intro to College Mathematics - P
- AP Calculus AB
- Probability and Statistics - P
- Intro to Computer Science
- AP Statistics
- Algebra 2 With Trigonometry (H)
- AP Calculus BC
- AP COMPUTER SCIENCE PRINCIPLES

## Algebra 1 A - P

## Algebra 1 A - P

REGISTRATION CODE: 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.

*Only five credits can be allocated for NCAA eligibility.

## Algebra 1 B - P

## Algebra 1B - P

REGISTRATION CODE: M105

STATUS: U.C.& NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: Algebra 1 A 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.

*Only five credits can be allocated for NCAA eligibility.

## Algebra 1 - P

## Algebra 1 - P

REGISTRATION CODE: M102

STATUS: U.C. & 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. Segments on probability and statistics are introduced, and problem solving strategies are utilized.

A TI graphing calculator is required for this course.

## Algebra 1 (H)

## Algebra 1 (H)

REGISTRATION CODE: M103

STATUS: U.C. & 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.

## Geometry - P

## Geometry - P

REGISTRATION CODE: M201

STATUS: U.C. & 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.

## Geometry (H)

## Geometry (H)

REGISTRATION CODE: M202

STATUS: U.C. & 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.
- 2 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

REGISTRATION CODE: M301

STATUS: U.C. & 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 with Trigonometry - P

## Algebra 2 With Trigonometry

REGISTRATION CODE: M310

STATUS: U.C. & 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-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.

## Trigonometry (P)

## Trigonometry (P)

REGISTRATION CODE: M307

STATUS: U.C. & NCAA Approved

CREDITS: 5

CAMPUS: DLS

PREREQUISITES:

- Two semester B- average in Algebra 2 with Trigonometry
- Two semester C average in Algebra 2 withTrigonometry (H)

LEVEL: 11th and 12th

This course studies circular functions, trigonometric functions, some applications of trigonometry to right triangles, trigonometric identities, graphing of trigonometric functions and inverses of trigonometric functions.

## Pre-Calculus - P

## Pre-Calculus - P

REGISTRATION CODE: M305

STATUS: U.C. & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: 1)Two semester B- average in Algebra 2 with Trigonometry with a minimum of a B- in the second semester and teacher recommendation - or 2) 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

This course includes a study of linear relations and functions, solving systems of equations and inequalities, and polynomial and rational functions. An indepth study of trigonometry including the trigonometric functions, their inverse functions, identities, equations, graphs, and applications is the focus of the first semester. The nature of graphs, conic sections, exponential and logarithmic functions, statistics, sequences and series are also studied. A TI-83 calculator is required.

## Intro to College Mathematics - P

## Intro to College Mathematics - P

REGISTRATION CODE: M410

STATUS: U.C. & NCAA Approved

CREDITS: 10

CAMPUS: DLS

PREREQUISITES: (1) Two semester C- average in Algebra 2, Algebra 2 w/Trigonometry or Honors Algebra 2 w/ Trigonometry

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.

## AP Calculus AB

## AP Calculus AB

REGISTRATION CODE: M501

STATUS: U.C. & NCAA Approved

CREDITS: 10

CAMPUS: DLS and CHS

PREREQUISITES: (1) Two semester B average with a minimum of a B in the second semester in Honors Algebra 2 with Trigonometry or 2) Two semester B- average with a minimum of a B- in the second semester in Pre-Calculus 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 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. A graphing calculator is required for this course.

## Probability and Statistics - P

## Probability & Statistics

REGISTRATION CODE: M403

STATUS: U.C. & NCAA Approved

CREDITS: 10

CAMPUS: DLS and CHS

PREREQUISITES:

- Two semster B- average in Algebra 2 and teacher recommendation - or -
- Two semester C+ average in Algebra 2 w/Trigonometry 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, corrrelation, regression, and analysis of variation.

## Intro to Computer Science

## Intro to Computer Science

REGISTRATION CODE: M601

STATUS: U.C. & NCAA Approved

CREDITS: 5

CAMPUS: DLS

PREREQUISITES: None

LEVEL: 10th, 11th and 12th grade

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.

## AP Statistics

## AP Statistics

REGISTRATION CODE: M500

STATUS: U.C. & NCAA Approved

CREDITS: 10

CAMPUS: DLS & CHS

PREREQUISITES:

- Two semester C average in Pre-calculus and teacher recommendation - or -
- Two semester B average in Algebra 2 with Trigonometry 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.

## Algebra 2 With Trigonometry (H)

## Algebra 2 With Trigonometry (H)

REGISTRATION CODE: M320

STATUS: U.C. & NCAA Approved

CREDITS: 10

CAMPUS: DLS only

PREREQUISITES:

- Two semester A average in Algebra 1 and Geometry with A's in the second semester of each course.
- Two semester B average in Algebra 1 (H) and Geometry (H) with B's 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. T he course also covers properties of matrices, properties of roots of equations, trionometric and circular functions, trionometric 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 Calculus BC

## AP Calculus BC

REGISTRATION CODE: M505

STATUS: U.C. & 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 L’Hopital’s rule, 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.

## AP COMPUTER SCIENCE PRINCIPLES

## AP Computer Science Principles

REGISTRATION CODE: M602

STATUS: U.C. & NCAA Approved

CREDITS: 5

CAMPUS: DLS

PREREQUISITES: Sophomores: Completion of Computer Science with an A-. Junior and Seniors: Must have a B+ average in their Algebra 1 course.

*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 plain.

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 incorporate aspects of JavaScript and HTML, with the focus on Python. There will be two performance tasks that students will submit to the College Board in the spring, as well as a multiple-choice exam.