# Mathematics

**Algebra I **- *Grade 9 / 1.0 credit***Geometry, Geometry Pre-AP** - *Grades 9-10 / 1.0 credit***Algebra II, Algebra II Pre-AP** - *Grades 9-11 / 1.0 credit***Pre-Calculus, Pre-Calculus Pre-AP** - *Grades 10-12 / 1.0 credit***Advanced Quantitative Reasoning** - *Grades 12 / 1.0 credit (3 Hrs.)*** ****Dual Credit College Algebra I (1314) **- *Grade 12 / 1.0 credit (3 Hrs.)***Dual Credit Plane Trigonometry (1316) **- *Grade 12 / 1.0 credit (3 Hrs.)***Calculus AB AP** - Grades 11-12 / 1.0 credit**Calculus BC AP** - Grade 12 / 1.0 credit**Computer Science PAP** - Grade 10-12 / 1.0 elective credit**Computer Science AP** - Grade 11-12 / 1.0 elective credit

### Algebra I** **

Develops proficiency with mathematical skills, expands understanding of mathematical concepts, and improves logical thinking. Fundamental basic properties of real numbers are presented. Students apply algebraic rules using intuition and deductive reasoning. Introduces students to basic operations with variables, polynomials, linear equations, and inequalities in one and two variables, rational expressions, radicals, and quadratic equations.

**Note: Algebra I is required for all diploma plans. **

### Geometry

*Prerequisite: Algebra I. *Enables students to develop a logical pattern of thinking with the use of geometric figures such as triangles, parallelograms, circles, prisms, cones, and spheres. Presents plane geometry as a structural system, with formal geometric proofs. Includes some spatial and coordinate geometry. Emphasizes the connections between algebra and geometry.

**Note: Geometry is required for all diploma plans.**

### Geometry Pre-Advanced Placement

*Prerequisite: 93 Average (Algebra I) / 88 Average (Pre AP Algebra I) or Administrator Approval. *Provides opportunities for the exceptional and highly motivated student. Develops advanced skills in algebraic operations including the study of plane and spatial relationships, synthetic and coordinate geometry, and the development of geometry as a structured mathematics system, with formal geometric proofs requiring considerable mathematical insight. Emphasizes the connections between algebra and geometry.

### Algebra II

Develops advanced skills in algebraic operations, while examining systems of quadratic equations and the complex number system. Presents concepts of algebra and geometry as related to conical, linear, polynomial, exponential, logarithmic, and trigonometric functions and their applications.

**Note: Algebra II is required for all diploma plans.**

### Algebra II Pre-Advanced Placement

*Prerequisite: 93 Average (Geometry) / 88 Average (Pre AP Geometry) or Administrator Approval. *Provides opportunities for the exceptional and highly motivated student. Develops advanced skills in algebraic operations, while examining systems of quadratic equations and the complex number system. Emphasizes mathematical structure, precise language, and an analytical approach in the study of the complex number system, conical, linear, polynomial, exponential, and logarithmic functions. Introduces sequences and series.

### Pre-Calculus

*Pre-Calculus requires completion of Geometry and Algebra II. *Integrates and extends the concepts and skills of trigonometry, elementary analysis, and analytical geometry. Provides opportunities for a variety of applications. Should be taken by students planning to take Physics and/or Calculus or College Algebra.

**Note: Pre-Calculus is required for all diploma plans****.**

### Pre-Calculus Pre-Advanced Placement

*Prerequisite: 93 Average (Algebra II) / 88 Average (Pre AP Algebra II) or Administrator Approval. *Provides opportunities for the exceptional and highly motivated student. Emphasizes mathematical structure, precise language, and an analytical approach to integrate and extend the concepts and skills of trigonometry, elementary analysis, and analytical geometry. Introduction to limits and derivatives. Provides opportunities for a variety of applications. Should be taken by students planning to take AP Physics and/or AP Calculus.

### Advanced Quantitative Reasoning

*Prerequisite: Pre-calculus. *The analysis of information using statistical methods and probability, modeling change and mathematical relationships, mathematical decision making in finance, and spatial and geometric modeling for decision making will be taught. Students will develop critical skills for success in college and careers including investigation, research, collaboration, and both written and oral communication of their work as they solve problems in many types of applied situations.

### Dual Enrollment College Algebra I (1314)

*Prerequisite: Precalculus or Pre-AP Precalculus Credit. Students must meet Texas A&M University-Kingsville criteria and completion of application.* Students must submit their application and pay their fees to Texas A&M University-Kingsville prior to the start of class. College-level topics in algebra including functions, graphs, variation, piecewise defined functions, equations of lines, elementary curve fitting, quadratic equations and functions, systems of linear and nonlinear equations, composition of functions, inverse functions, exponential and logarithmic functions and applications related to these topics.

### Dual Enrollment Plane Trigonometry (1316)

*Prerequisite: Precalculus or Pre-AP Precalculus Credit. *Fundamental notions and definitions, functions of angles, logarithms, circular measure, solution of triangles.

### Calculus AB Advanced Placement

*Prerequisite: Pre-Calculus 93 average or Pre-AP Pre-Calculus 88 average or Administrator Approval. *This course provides opportunities for the exceptional and highly motivated student. This course continues the examination of the topics begun in Precalculus and Pre-AP Precalculus; the idea of limits into the derivative and the integral. Various applications of differential and integral calculus are explored. It prepares students for the College Board Advanced Placement Calculus AB Examination and SAT II: Mathematics.

**Note: Requirement for the Jeanne deMatel diploma.**

### Calculus BC Advanced Placement

*Prerequisite: AP Calculus AB or Pre-AP Pre-Calculus 93 average with Administrator Approval. *This course provides opportunities for the exceptional and highly motivated student. This course continues the examination of the topics begun in Precalculus and Pre-AP Calculus. The idea of limits developed into the derivative and the integral. Various applications of differential and integral calculus are explored. The concepts of power series, taylor series and parametric equations are developed. This prepares students for the College Board Advanced Placement Calculus BC Examination and SAT II: Mathematics.

### Computer Science I Pre-Advanced Placement

*Prerequisite: 85 Average or above in previous math course.* Provides opportunities for the exceptional and highly motivated student. Students demonstrate coding proficiency in a contemporary programming language, designing and document search algorithms, apply problem-solving strategies appropriate to programming, develop sequential and iterative algorithms, use correct programming style, debug, and solve problems using JAVA language. This fulfills the Technology Applications requirement for all diploma plans.

**Note: This is a math elective.**

### Computer Science Advanced Placement

*Prerequisite: Computer Science I Pre-Advanced Placement.* Provides opportunities for the exceptional and highly motivated student. Programming course using JAVA. Expands on programming techniques with opportunities to develop larger programs with increased emphasis on design, style, and clarity. Includes use of linear data structures, research algorithms, and manipulation of data structures. This course is intended to serve both as an introductory course for computer science majors and for students who will major in fields that require significant involvement with computing (i.e. engineering, accounting, math, business). Provides college level learning experiences for students to prepare for The College Board Advanced Placement Examination.

**Note: This is a math elective.**