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Mathematics

The Airline High School Mathematics Department acknowledges the need for a comprehensive as well as applicable foundation of mathematics skills for students in order to prepare them for any of the many different post secondary directions they may choose. For those whose choose a two or four year college or university, Airline High School offers a complete college preparatory curriculum including AP Calculus AB, AP Calculus BC, AP Statistics, AP Computer Science, College Algebra and other honors classes. AP Calculus and College Algebra allows the student to earn college credit while attending high school.

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Essentials of Algebra - 1 elective credit

This course is a combination of algebraic and geometric concepts that will enhance and extend Pre-Algebra knowledge to prepare students for Algebra I and subsequent high school math courses. Application and problem solving in a real world context and critical thinking are integrated throughout the course. Primary emphasis will be placed on the study of linear relationships and descriptive statistics. The course will also extend students' knowledge of exponents, radicals, operations on real numbers, systems of linear equations and inequalities, and statistical reasoning. (Prerequisites: 7th grade iLEAP Achievement Level - Basic or below;C or below in 8th grade math; teacher recommendation)

Algebra I - 1 credit

This course emphasizes the development of a rich understanding of fundamental algebraic ideas in realistic settings. Students will engage in an in-depth study of linear, exponential, and quadratic functions. Additional topics include expressions and equations, relations and functions, arithmetic and geometric sequences, recursion, polynomials, and data analysis. (Prerequisite: Foundations of Algebra)

Algebra I Honors- 1 credit

In addition to emphasizing the same mathematical concepts as Algebra 1, this course promotes a higher level of mathematical understanding, with technology and other resources used as tools to explore and apply algebraic concepts. (Prerequisites: Teacher recommendation/Honors Criteria, 7th grade iLEAP Achievement Level –Mastery or Advanced AND an A or B in 8th grade math; teacher recommendation)

Foundations of Geometry – 1 credit

This course covers foundation geometry concepts that are prerequisites to the major work comprised in geometry. Introductory definitions, structures of reasoning, properties of parallelism and perpendicularity, and transformations reflect the development of study. Students will extend their foundation knowledge through integrated geometric investigations and extension applications. (Prerequisite: Algebra I)

Geometry - 1 credit

Geometry is a study of visual patterns and how they describe the physical universe and represent mathematical concepts. Topics include measurement formulas; geometric and spatial visualization; drawing skills; properties of congruence and similarity; proof; right triangle trigonometry; properties of plane and solid figures; and different applications. Students utilize inductive and deductive reasoning and examine concepts from transformational, synthetic, coordinate, and vector approaches. (Prerequisite: Algebra I)

Geometry Honors - 1 credit

In addition to emphasizing the same mathematical concepts as Geometry, this course promotes a higher level of mathematical understanding, with technology and other resources used as tools to explore and apply geometric concepts. Complex proofs and other advanced geometric topics are included. (Prerequisites: Algebra I with grade of A or B, Honors criteria)

Math Essentials – 1 credit

This course is designed for students who plan to take Algebra II but need additional algebra skills. Topics include statistics, ratio and proportion, probability, exploring linear, step, piecewise defined, absolute value, and quadratic functions, geometry and additional topics in mathematics. (Prerequisites: Algebra I and Geometry, C or D in each)

Algebra II - 1 credit

This course expands algebraic concepts introduced in Algebra I and Geometry. Primary emphasis will be placed on the study of linear, quadratic, polynomial, rational, radical, exponential, logarithmic, and trigonometric functions with applications. Other topics include systems of linear and nonlinear equations and inequalities; polynomials; inverse functions; rational exponents; radical expressions; complex numbers; and data analysis. (Prerequisites: Algebra and Geometry, recommended C or above in each)

Algebra II Honors – 1 credit

In addition to emphasizing the topics in Algebra II, this course promotes a higher level of mathematical understanding, with technology and other resources used as tools to explore and apply algebraic concepts. (Prerequisites: Algebra I, Geometry Honors, Honors criteria)

Financial Literacy - 1 credit

This course is designed to focus on mathematical concepts and applications needed for the design and management of personal and business finances. Financial Mathematics serves as a foundation for ALL students to learn to make mathematically sound decisions in their roles as consumers, employees, and/or entrepreneurs. This course extends students’ knowledge of whole numbers, fractions, decimals, and percents as well as basic statistics and probability, algebra, geometry, and data analysis in the context of relevant real life problem-solving situations. Emphasis is placed on various mathematical processes that include manual or electronic calculations of payroll, income tax preparations, interest computation, consumer information, managing income, buying insurance, selling and buying, making sound credit and investment decision and other items that may be related to personal and business transactions. Mathematical and communication skills are reinforced in this course as well as critical thinking skills through applications of math in personal finance and in business. Work-based learning strategies appropriate for this course are service learning, field trips, and job shadowing, and internships. Simulations, projects, teamwork, Marketing Education and FBLA leadership activities, meetings, conferences, and competition provide opportunities for application of instructional competencies. (Prerequisite: None)

Business Math – 1 credit

Business Mathematics is a course of which students learn to use mathematics effectively as a tool in their business life. After students have completed this course they will be able to apply mathematical concepts in various business situations. Students will review and apply concepts previously learned in Financial Literacy and extend that knowledge through investigations making business decisions and managing business finances in sales, marketing, accounting, and financial management. They will use common mathematical formulas to solve a variety of personal and business mathematics as well as apply knowledge of computer and calculator use. (Prerequisite: Financial Literacy)

Advanced Math – Pre-Calculus - 1 credit

This course is designed for students who are preparing for a rigorous course in calculus and/or college algebra and trigonometry. Topics include trigonometric/circular functions, graphs/inverses of trigonometric functions, trigonometric identities/equations, vectors; nature of graphs; polynomial and rational functions. Families of functions are examined from algebraic, numeric, graphic, and verbal perspectives. Graphing calculators are used to reinforce the connection between the four perspectives and to solve problems through visual representations. (Prerequisite: Algebra II, recommended grade of B or above.)

Algebra III – 1 credit

To further advance a student’s study of mathematics, Algebra III is designed for college-bound students who have successfully completed Algebra II. The course includes routine problems requiring advanced algebra and nonroutine problems that require students to demonstrate understanding of concepts. Specific knowledge on linear and quadratic equations; inequalities and graphs; algebraic, exponential and logarithmic functions; and other miscellaneous topics are investigated. Students may have the opportunity to take a CLEP test at the end of this course if certain grade and performance criteria are met throughout the semester. (Prerequisite: Algebra II and/or qualifying ACT math score)

College Algebra – Dual Credit - 1 credit (3 hours college credit)

This is a dual enrollment course paired with Algebra III. Topics include in-depth treatment of solving equations and inequalities; function properties and graphs; inverse functions; linear, quadratic, polynomial, rational, exponential and logarithmic functions with applications; systems of equations. (Prerequisite: Algebra II; meets Dual Enrollment and/or ACT requirements) This course may have a dual enrollment fee assessed by the post-secondary institution that will be paid by student/parents. Qualified students may take this course for secondary credit only without paying the dual enrollment fee.

College Advanced Math – Dual Credit - 1 credit (3 hours college credit)

This is a dual enrollment course paired with Advanced Math Pre-Calculus. Topics include trigonometric functions and graphs; inverse trig functions; fundamental identities and angle formulas; solving equations; triangles with applications; Additional topics addressed are vectors; function properties and graphs; inverse functions; polynomial and rational functions. (Prerequisite: Algebra II, recommended grade C or better; meets Dual Enrollment and/or ACT requirements) This course may have a dual enrollment fee assessed by the post-secondary institution that will be paid by student/parents. Qualified students may take this course for secondary credit only without paying the dual enrollment fee.

Calculus Honors - 1 credit

This course is designed for students who are preparing for a rigorous course in calculus and/or college algebra and trigonometry, and it extends concepts beyond Advanced Math Pre-Calculus. Topics include systems of equations/inequalities, polar coordinates, conics, series/sequences, statistics and data analysis, and an introduction to limits and the derivative. Thinking, talking, and writing about mathematics are emphasized. (Prerequisite: Advanced Math Pre-Calculus)

AP Calculus AB – 1 credit

AP Calculus AB is a college-level course that follows the curriculum from the College Board. Topics include analytic geometry; properties of functions and their graphs; limits; continuity; derivatives; and definite and indefinite integrals. Applications of the derivative and definite integral include curve-sketching, area under a curve, volume of solids of revolution, optimization problems, growth and decay problems, and other real-life applications. (Prerequisites: It is highly recommended that students take both Advanced Math-Precalculus and Calculus Honors prior to taking Calculus AB; AP criteria – A or B in related course(s), teacher recommendation and a cumulative GPA of 3.0 or better. Students enrolled in an AP course are required to take the AP Exam at a cost set by the district to cover the test application fee.)

AP Calculus BC – 1 credit

AP Calculus BC is a college-level course that follows the curriculum from the College Board. Topics include advanced integration techniques, the calculus of sequences and series, parametric equations, polar equations, slope fields, and vectors. This course is designed for self-motivated, self-disciplined students who are interested in taking the advanced placement test for college credit. (Prerequisites: Prior or concurrent enrollment in AP Calculus AB; AP criteria- A or B in related course(s), teacher recommendation, and a cumulative GPA of 3.0 or better. Students enrolled in an AP course are required to take the AP Exam at a cost set by the district to cover the test application fee.)

AP Statistics – 1 credit

The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. 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; and 4) Statistical Inference: Estimating population parameters and testing hypotheses. (Prerequisites: Algebra II; AP criteria- A or B in related course(s), teacher recommendation, and a cumulative GPA of 3.0 or better. Students enrolled in an AP course are required to take the AP Exam at a cost set by the parish to cover the test application fee.)