MATHEMATICS

ALGEBRA I

Algebra 1 includes Foundations of Mathematics.  Concepts include: Algebraic Sentences, Variables/Expressions, Polynomials Equations and their Application, Solving/Graphing Systems of Equations, Factoring Polynomials, Rational Expressions, Solving/Graphing Linear Inequalities, Writing Linear Functions, and Probability/Odds. Students will learn to utilize the graphing calculator in appropriate situations. Problem solving, reasoning, estimation, and connections between math and everyday applications will be emphasized throughout Algebra 1. This course is designed to prepare students for Algebra II and Geometry. This is a one credit course, if taken at the high school level.

*Course required for graduation
Grade 9
1 credit

PRE AP ALGEBRA I

Algebra I Honors reflects the learning standards at the high school level and is designed to give students the prerequisite skills for all future mathematics courses through real world problem solving.

Students will explore writing, solving and graphing linear equations and inequalities, powers and exponents, quadratic equations, polynomials, factoring and statistics. The first unit in this curriculum is the basis of Algebra I and a review of learning in 8th grade curricula. Teachers will also pace assessments at an accelerated rate throughout this course as appropriate to student readiness. The graphing calculator will be used as a tool to enhance instruction.  Algebra I Honors provides the logic and modeling skills necessary to solve real world situations and

scenarios vital to success in our coutinually changing global society. Algebra I offers the foundation for success in future, higher-level math courses. Students will develop an understanding of and appreciation for using mathematics to analyze patterns and explain solutions to complex real world problems in precise and logical detail, using modern technology where appropriate. Special Note: Instruction will be more rigorous in this class than the entry level Algebra I course. Students will be responsible for independent and self reflective practices. 

*This course may be taken in place of Algebra 1 as a graduation requirement
Grade 9
1 credit

GEOMETRY

Geometry includes the history of geometry, introduction to practical applications of Geometry, geometric reasoning, angles, triangles, congruence, trigonometry of right triangles, coordinate, polygons, circles, practical geometry, use of compasses and protractor and solid figures.

PREREQUISITE: Algebra I
*Course required for graduation
Grade 9 or 10
1 credit

Pre AP GEOMETRY

Geometry Honors is for accelerated Math students. It stresses the ability to reason logically and to think critically, using spatial sense. Students will engage in activities that allow them to create geometric understanding. These courses will formalize and extend students’ geometric experiences from the middle grades and/or Pre-Algebra. Students will explore more complex geometric situations and deepen their explanations of geometric relationships moving toward formal mathematical arguments. The courses guide students to experience mathematics as a coherent, useful, and logical subject that makes use of their ability to exercise problem-solving skills in authentic situations. The curriculum includes the topics of transformations, congruence, similarity, trigonometry, two- and three-dimensional figures, circles, and probability.

PREREQUISITE: Algebra I or Pre AP Algebra I (preferably) and/or Teacher Recommendation
*This course may be taken in place of Geometry as a graduation requirement
Grade 9 or 10
1 credit 

ALGEBRA II

This course is designed for students who have completed courses containing all the required high school Kentucky Academic Standards (KAS) for Mathematics. If students have not completed courses containing all the required KAS for Mathematics, an Algebra 3 course should attend to standards students still need. An Algebra 3 course may include, but is not limited to, topics found in the (+) standards of the KAS for Mathematics. This course might include objectives that require students to solve applied problems using various types of equations (linear, quadratic, exponential, trigonometric, logarithmic, power and piece-wise functions), to read and analyze real-life problems using mathematical modeling, to perform matrix operations, to use numerical and graphical data to make reasonable and valid conclusions, to solve applied problems that can be modeled with equations and inequalities involving absolute value, to solve systems of linear equations using several techniques including matrices, to use and verify trigonometric identities, to find terms of sequences and to find the sum of finite series.

PREREQUISITE: Algebra I and Geometry
Grade 10-12
1 credit

Pre AP ALGEBRA II

This course is designed for students who have demonstrated exceptional ability and motivationin mathematics and will meet the needs of students who anticipate entering college majors requiring an extensive mathematical background. The content of this course reflects the Common Core State Standards for Mathematics. The concept of a function is used as a unifying theme throughout the course. Graphing and the relationship between graphs and equations is emphasized. Algebra is connected to other areas of mathematics such as geometry, data analysis, probability and discrete mathematics. Problem solving and application to real world problems are integrated throughout the course. Teaching strategies used in this course follow the recommendations of the National Council of Teachers of Mathematics. Students are expected to be active participants in the learning process. The teacher will involve them in the introduction and 

development of material through exploratory activities, questioning and class discussions. Understanding of concepts is stressed rather than rote memorization of skills. When appropriate, students are guided in discovering the concepts themselves through a study of patterns and relating their work to prior knowledge. The graphing calculator is essential to this course as students use it both to discover concepts and strengthen their understanding of concepts.

PREREQUISITE: Algebra I and Geometry and/or Teacher Recommendation
Grade 10-12
1 credit

ALGEBRA III

This course is designed for students who have completed courses containing all the required high school Kentucky Academic Standards (KAS) for Mathematics. If students have not completed courses containing all the required KAS for Mathematics, an Algebra 3 course should attend to standards students still need. An Algebra 3 course may include, but is not limited to, topics found in the (+) standards of the KAS for Mathematics. This course might include objectives that require students to solve applied problems using various types of equations (linear, quadratic, exponential, trigonometric, logarithmic, power and piece-wise functions), to read and analyze real-life problems using mathematical modeling, to perform matrix operations, to use numerical and graphical data to make reasonable and valid conclusions, to solve applied problems that can be modeled with equations and inequalities involving absolute value, to solve systems of linear equations using several techniques including matrices, to use and verify trigonometric identities, to find terms of sequences and to find the sum of finite series.

PREREQUISITE: Algebra II
Grade 11-12
1 credit

AP STATISTICS

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. College credit is earned with a qualifying score on an AP exam.

PREREQUISITE: MAT 150
Grade 11-12
1 credits

AP CALCULUS AB/BC

Calculus is a transition course to upper-division mathematics and computer science courses. Students will extend their experience with functions as they study the fundamental concepts of calculus: limiting behaviors, difference quotients and the derivative, Riemann sums and the definite integral, antiderivatives and indefinite integrals, and the Fundamental Theorem of Calculus. Students review and extend their knowledge of trigonometry and basic analytic geometry. Important objectives of the calculus sequence are to develop and strengthen the students’ problem-solving skills and to teach them to read, write, speak, and think in the language of mathematics. In particular, students learn how to apply the tools of calculus to a variety of problem situations.

PREREQUISITE: Algebra II, Pre Calculus (Preferably)
Grade 11-12
1 credit

TECHNICAL MATH

Technical Mathematics serves students who have completed the mandated high school Kentucky Academic Standards for Mathematics. For those still needing to meet standards, the course addresses remaining proficiencies. This curriculum explores advanced mathematical concepts from algebra, geometry, and trigonometry, with a focus on real-world applications relevant to various technologies. Key topics include unit conversions, principles of variation, measurement of geometric figures, vectors, and the application of trigonometry to solve right and oblique triangles. Emphasis is placed on the practical use of these concepts in technology, potentially covering the (+) standards of the Kentucky Academic Standards for Mathematics.

PREREQUISITE: Algebra I & Geometry
Grade 11-12
1 credit

FINANCIAL LITERACY

This course is designed for students who have completed courses containing all the required high school Kentucky Academic Standards (KAS) for Mathematics. If students have not completed courses containing all the required KAS for Mathematics, a Personal Finance (Math Credit) course should attend to standards students still need. This course is designed to provide students with the knowledge and skills to manage one's financial resources effectively for lifetime financial security. Topics include economics, money in the economy, budgeting, credit, consumer rights, investments and retirement planning, beyond what was addressed in the student’s foundational courses. A Personal Finance (Math Credit) course may include, but is not limited to, topics found in the (+) standards of the KAS for Mathematics. Leadership development will be provided through the DECA/FBLA student organizations.

Grade 9-12
1 credit

PRE-AP CALCULUS

This course is designed for students to attain the concepts necessary to be successful in a Calculus course, an AP Calculus course or a College Calculus course. Objectives for this course should include but are not limited to: solve equations and inequalities involving polynomial, rational, exponential, logarithmic and trigonometric functions, understand and apply the behavior and properties of polynomial, rational, exponential, logarithmic, and trigonometric functions, graph polynomial, rational, exponential, logarithmic, and trigonometric functions, use technology to solve and graph various types of equations and inequalities and prove trigonometric identities. 

Offered at TNHS for TNHS & NCHS students

PREREQUISITE: Algebra II and Teacher Approval
Grade 11-12
1 credit

DUAL CREDIT COLLEGE ALGEBRA (MAT 150)

This class is taught in conjunction with ECTC and follows a curriculum that includes operations on rational expressions, radicals, functions,, and complex numbers, set theory, solving and graphing various functions and analysis of their graphs, systems of equations and difference quotient.  Student must have a qualifying ACT Math score of 22 or higher to enroll.

Offered at TNHS for TNHS & NCHS students

PREREQUISITE: Algebra 1 and Geometry
1 Credit, Grades 10-12

STATISTICS (STA 220)

Examines statistical description of sample data including frequency distributions, measures of central tendency, and measures of dispersion. Includes theoretical distributions, statistical estimation, and hypothesis testing. Introduces simple linear regression and correlation.

Offered at TNHS for TNHS & NCHS students

PREREQUISITE: MAT 150
1 Credit, Grades 11-12