Math

 

Math Scope and Sequence
9th Grade 10th Grade 11th Grade 12th Grade
Integrated Math 1 Integrated Math 2 Geometry

Algebra 2

Personal Finance

Technical Math

Algebra 1

Integrated Math 2

Geometry

Advanced Geometry

Geometry

Algebra 2

Advanced Algebra 2

Algebra 2

Personal Finance

Technical Math

JCTC MAT 150/STA 220

Advanced Precalculus

AP Statistics

Advanced Geometry

Algebra 2

Advanced Algebra 2

Algebra 3

JCTC MAT 150/STA 220

Advanced Precalculus

AP Statistics

JCTC MAT 150/STA 220

Advanced Precalculus

AP Statistics

AP Calculus AB

Advanced Algebra 2

Algebra 3

JCTC MAT 150/STA 220

Advanced Precalculus

AP Statistics

JCTC MAT 150/STA 220

Advanced Precalculus

AP Statistics

AP Calculus AB

JCTC MAT 150/STA 220

AP Statistics

AP Calculus BC

     

**Students wanting to move into the advanced sequence their 10th grade may take Advanced Geometry and Advanced Algebra 2 courses concurrently, and then take Algebra 3, JCTC Mat 150 & JCC Sta 220 or Advanced Precalculus their 11th grade year.JCTC Mat 150 is not recommended as an option for students who successfully complete Advanced Precalculus.Students interested in taking JCTC Dual Credit math courses must meet the ACT requirement prior to acceptance into the course.

Graduation Requirement

Suggested Grade Level: 9

Prerequisites: Teacher Recommendation

Max GPA: 4.0 Credits: 1.0

Course Description: This course is the first year of Integrated Mathematics pathway. The integrated approach to high school mathematics is typically seen internationally and consists of a sequence of three to four courses depending on school's curriculum; each course includes number, algebra, geometry, probability and statistics and is no less rigorous than a traditional pathway: Algebra 1 and Geometry. Typically Integrated/Applied Mathematics 1 has more geometric concepts than a traditional Algebra 1 course. If the integrated series of Integrated 1 and Integrated 2 is used in place of the traditional series of Algebra 1 and Geometry and the integrated series of Integrated 1 and Integrated 2 collectively allows students the access and opportunity to learn all required high school Kentucky Academic Standards for Mathematics included in Algebra 1 and Geometry, then students who complete this series have met the high school graduation requirements of Algebra 1 and Geometry. 

Graduation Requirement

Suggested Grade Level: 9

Prerequisites: Teacher Recommendation

Max GPA: 4.0 Credits: 1.0

Course Description: This course is the study of high school Algebra 1 content. Upon completion of the course, students should be able to represent relationships mathematically, develop fluency in writing, interpret expressions and equations, translate between various forms of linear equations and inequalities and use them to solve problems including those that require a system of equations, solve linear equations, apply related solution techniques and the laws of exponents to solve simple exponential equations, understand function definition and notation, contrast linear and exponential graphical representations, make judgments about the appropriateness of linear models, perform arithmetic operations on inequalities, interpret functions and fluently use function notation, construct and compare linear and exponential models and solve related problems, factor quadratic and cubic expressions solve quadratic equations to interpret related quadratic functions and explore non-linear relationships. This course should be designed to meet the high school graduation credit for Algebra 1 and to build a solid foundation necessary for future high school math courses.  

Graduation Requirement

Suggested Grade Level: 9

Prerequisites: Teacher Recommendation

Max GPA: 4.0 Credits: 1.0

Course Description: This course is the second year of Integrated Mathematics. The integrated approach to high school mathematics is typically seen internationally and consists of a sequence of three to four courses depending on school's curriculum; each course includes number, algebra, geometry, probability and statistics and is no less rigorous than a traditional pathway: Algebra 1 and Geometry. Typically Integrated II has a blend of geometric and algebraic concepts along with probability. If the integrated series of Integrated 1 and Integrated 2 is used in place of the traditional series of Algebra 1 and Geometry and the integrated series of Integrated 1 and Integrated 2 collectively allows students the access and opportunity to learn all required high school Kentucky Academic Standards for Mathematics included in Algebra 1 and Geometry, then students who complete this series have met the high school graduation requirements of Algebra 1 and Geometry. 

Graduation Requirement

Suggested Grade Level: 10

Prerequisites: Algebra 1

Max. GPA: 4.0 Credits: 1.0

Course Description: This course is the study of high school Geometry content. Upon completion of the course, students should be able to prove theorems and solve problems about triangles, quadrilaterals, and other polygons, apply reasoning to complete geometric constructions and explanations, establish triangle congruence criteria based on analyses of rigid motions and formal constructions, use similarity to solve problems and apply similarity in right triangles to understand right triangle trigonometry (with particular attention to special right triangles and the Pythagorean theorem), develop the Law of Sines and Cosines from understanding relationships in right triangles, apply knowledge of two-dimensional shapes to consider the shapes of cross-sections and the result of rotating a two-dimensional object about a line, connect algebraic concepts to geometric concepts through the rectangular coordinate system (such as deriving the equation of a circle given the center and radius length using the distance formula or Pythagorean Theorem) and prove basic theorems about circles, chords, secants, and tangents.

Graduation Requirement if not taking Geometry

Suggested Grade Level: 9 – 10

Prerequisites: "A" in Algebra 1 and Teacher Recommendation

Max. GPA: 4.0 Credits: 1.0

Course Description: This course is designed for students with a high degree of proficiency in abstract mathematical ideas. It prepares students for Advanced Algebra 2.  This course is the study of high school Geometry content. Upon completion of the course, students should be able to prove theorems and solve problems about triangles, quadrilaterals, and other polygons, apply reasoning to complete geometric constructions and explanations, establish triangle congruence criteria based on analyses of rigid motions and formal constructions, use similarity to solve problems and apply similarity in right triangles to understand right triangle trigonometry (with particular attention to special right triangles and the Pythagorean theorem), develop the Law of Sines and Cosines from understanding relationships in right triangles, apply knowledge of two-dimensional shapes to consider the shapes of cross-sections and the result of rotating a two-dimensional object about a line, connect algebraic concepts to geometric concepts through the rectangular coordinate system (such as deriving the equation of a circle given the center and radius length using the distance formula or Pythagorean Theorem) and prove basic theorems about circles, chords, secants, and tangents.

Graduation Requirement

Suggested Grade Level: 10-11

Prerequisites: Algebra 1 and Geometry
 
Max. G.P.A.: 4.0 Credits: 1.0
 
Course Description: This course is the study of high school Algebra 2 content. Upon completion of the course, students should be able to use properties of numerical operations to perform calculations involving polynomials,, identify zeros of polynomials and make connections between zeros of polynomials and solutions of geometry to extend trigonometry to model periodic phenomena, work with a variety of function families exploring the effects of transformations, analyze functions using different representations, build, interpret and compare functions including square root, cube root, piecewise, trigonometric and logarithmic functions, identify appropriate functions to model situations, adjust parameters to improve the models, and compare models by analyzing appropriateness of fit. 

Graduation Requirement if not taking Algebra 2

Suggested Grade Level: 9-12

Prerequisites: An "A" or "B" in Advanced Geometry AND Teacher Recommendation.

Max. GPA: 4.0 Credits: 1.0

Course Description: This course is designed for students with a high degree of proficiency in abstract mathematical ideas. It prepares students for Advanced Pre-Calculus. This course is the study of high school Algebra 2 content. Upon completion of the course, students should be able to use properties of numerical operations to perform calculations involving polynomials,, identify zeros of polynomials and make connections between zeros of polynomials and solutions of geometry to extend trigonometry to model periodic phenomena, work with a variety of function families exploring the effects of transformations, analyze functions using different representations, build, interpret and compare functions including square root, cube root, piecewise, trigonometric and logarithmic functions, identify appropriate functions to model situations, adjust parameters to improve the models, and compare models by analyzing appropriateness of fit.

Graduation Requirement possibility for 4th math credit

Suggested Grade Level: 11-12

Prerequisite: Geometry, Algebra 2 AND Teacher Recommendation

Max GPA 4.0 Credit: 1.0

Course Description: The content of this course goes beyond a traditional Algebra 2 course and should provide opportunities for students to: solve applied (in context) problems using various types of equations (linear, quadratic, exponential, trigonometric, logarithmic and power functions piecewise), read and analyze real-life problems using mathematical modeling, perform matrix operations, graph and interpret data represented by linear, quadratic, exponential, logarithmic and power functions, use numerical and graphical data to make reasonable and valid conclusions, solve applied problems that can be modeled with equations and inequalities involving absolute value, solve systems of linear equations using several techniques including matrices, use and verify trigonometric identities, solve applied problems that can be modeled with exponential and logarithmic equations, find terms of sequences and find the sum of finite series.

Math Elective/ Graduation Requirement possibility for 4th math credit

Suggested Grade Level: 12

Prerequisite: Algebra 1, Geometry, Algebra 2

Max GPA: 4.0  Credit: 1.0

Course Description: 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.

 

Graduation Requirement possibility for 4th math credit

Does NOT meet Pre College Curriculum Requirement (NCAA/NAIA)

Suggested Grade Level: 12   Prerequisites: Algebra 2 AND Teacher Recommendation

Max GPA: 4.0 Crdits 1.0

Course Description:  Mathematical concepts from algebra, geometry, and trigonometry and applications relevant to these topics, beyond what was addressed in the student’s foundational courses, are studied. Topics to be covered include unit conversions, variation, measurement of geometric figures, vectors, and solving right and oblique triangles using trigonometry. Emphasis is on applications in the various technologies.

Graduation Requirement possibility for 4th math credit

Suggested Grade Level: 10-12

Prerequisites: Advanced Algebra 2 OR an "A" or "B" in Algebra 3 AND Teacher Recommendation Benchmark scores for JCTC College Dual Credit: ACT Math 22+ and completion of College Algebra or equivalent or AP Calculus AB Exam score of a 3 or higher

Max. GPA: 5.0 Credits 1.0

Course Description: 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.

Graduation Requirement possibility for 4th math credit

Offered at OCHS and JCTC CarrolltonSuggested Grade Level: 11-12

Prerequisite: Successfully passed Algebra 1, "A" or "B" in Algebra 2, Geometry AND Teacher Recommendation. Must have qualifying ACT to receive dual credit. *Benchmark scores for JCTC College Dual Credit: ACT Math 22+ OR SAT Math 510+     Math 150 and Stats 220 are taken together as paired courses. 

Max. GPA: 4.0 Credits: 1.0 semester long course.

Course Description: This course includes selected topics in algebra and analytic geometry. Develops manipulative algebraic skills required for successful calculus study. Course includes linear, quadratic, polynomial, rational, exponential, logarithmic and piecewise functions, systems of equations and inequalities and introduction to analytic geometry.* If students are not successful in their first dual credit semester, they will be moved out of the dual credit option second semester.

Math Elective/Graduation Requirement possibility for 4th math credit

Suggested Grade Level: 12

Pre-requisite: Successful completion of MAT 150 AND Teacher Recommendation; Math 150 and Stats 220 are taken together as paired courses.

Max. GPA: 4.0 Credits: 1.0 semester long course.

Course Description: 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.*Taken in the second semester after JCTC MATH 150 at OCHS.

Graduation Requirement possibility for 4th math credit

Suggested Grade Level: 11-12

Prerequisite: At least a "B" in Advanced Algebra 2 OR an A in Algebra 3 AND Teacher Recommendation.

Max. GPA: 4.0 Credits 1.0

Course Description: 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. 

Graduation Requirement possibility for 4th math credit

Suggested Grade Level: 11-12

Prerequisite: At least a "B" in Advanced Pre-calculus AND Teacher Recommendation.

Max GPA: 5.0 Credits: 1.0

Course Description: AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections among these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions. College credit is earned with a qualifying score on an AP exam.  

Math Elective/Graduation Requirement possibility for 4th math credit

Suggested Grade Level: 12

Prerequisite: AP Calculus AB AND Teacher Recommendation.

Max GPA: 5.0 Credit: 1.0

Course Description: AP Calculus BC is roughly equivalent to both first and second semester college calculus courses. It extends the content learned in AB to different types of equations (polar, parametric, vector-valued) and new topics (such as Euler's method, integration by parts, partial fraction decomposition, and improper integrals), and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. The course teaches Version 1.0 191 students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions. College credit is earned with a qualifying score on an AP exam.