MATHEMATICS

Mathematics Pathway

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 in designed for students who have taken Algebra I and Geometry. This course meets the state requirements for a third math course and prepares students for the ACT assessment. Algebra II includes real numbers, equations and inequalities, relations, and functions, polynomials and factoring linear functions, second degree functions, systems and inequalities, exponent and radicals and matrices.

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 II PART A

Kentucky Algebra 2 A/B are newly redesigned courses that fully align with the Kentucky Academic Standards for Mathematics. These split courses provide a focused exploration of Algebra 2 content, making concepts more accessible to learners. Emphasizing student engagement, the courses foster problem-solving skills and offer enriching experiences to support learning and maximize mastery of content.

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

ALGEBRA II Part B

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

ALGEBRA III

This is a college readiness class that covers advanced math topics beyond Algebra II, but not at the Pre-Calculus level. The purpose of this class is to further prepare a student for Pre-Calculus (underclassmen) or college level coursework such as College Algebra (seniors).

PREREQUISITE: Algebra II
Grade 11-12
1 credit

PRE-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.

PREREQUISITE: Algebra II and Teacher Approval
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: Algebra II or Teacher Approval
Grade 11-12
2 weighted credits (1 Math credit, 1 elective credit)

AP CALCULUS AB

AP Calculus AB focuses on students’ understanding of calculus concepts and provide experience with methods and applications. Through the use of big ideas of calculus (e.g., modeling change, approximation and limits, and analysis of functions), each course becomes a cohesive whole, rather than a collection of unrelated topics. Both courses require students to use definitions and theorems to build arguments and justify conclusions. The courses feature a multi representational approach to calculus, with concepts, results, and problems expressed graphically, numerically, analytically, and verbally. Exploring connections among these representations builds understanding of how calculus applies limits to develop important ideas, definitions, formulas, and theorems. A sustained emphasis on clear communication of methods, reasoning, justifications, and conclusions is essential. Teachers and students should regularly use technology to reinforce relationships among functions, to confirm written work, to implement experimentation, and to assist in interpreting results. College credit is earned with a qualifying score on an AP exam.

PREREQUISITE: Algebra II, Pre Calculus or Teacher Approval
Grade 11-12
1 weighted credit

AP CALCULUS BC

AP Calculus BC applies the content and skills learned in AP Calculus AB to parametrically defined curves, polar curves, and vector-valued functions; develops additional integration techniques and applications; and introduces the topics of sequences and series. College credit is earned with a qualifying score on an AP exam.

PREREQUISITE: AP Calculus AB or Teacher Approval
Grade 11-12
1 weighted credit