# Math Courses

9th Grade | 10th Grade | 11th Grade | 12th Grade |
---|---|---|---|

Integrated Math 1 (2022-2023 Freshmen only) |
Algebra 1 | Geometry |
Integrated Math 3 Integrated Math 4 |

Algebra 1 |
Integrated Math 3 Integrated Math 4 |
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Advanced Geometry | |||

Advanced Algebra 2 |

**Students wanting to move into the advanced sequence their 10th grade year 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

#### ALGEBRA 1

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: 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.

#### ADVANCED GEOMETRY

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.

#### ALGEBRA 2

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.

#### ADVANCED ALGEBRA 2

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.

__ADVANCED TOPICS IN MATHEMATICS (1/2 credit) JCTC MAT 111- (1 credit) 3 hours__

Suggest Grade Level: 11 - 12

Prerequisite: Algebra 1, Geometry, Algebra 2; ACT Math Score 19+; Advanced Topics in Mathematics and JCTC MAT 111 are taken together as paired courses. JCTC MAT 111 is a college dual credit course through JCTC.

Max GPA: 4.0 Credit: 1.0

Course Descriptions: This course is designed for students who have completed courses containing all the required high school Kentucky Academic Standards for Mathematics and should allow students to pursue topics in mathematics beyond content required for high school students. If students have not completed courses containing all the required Kentucky Academic Standards for Mathematics, an Advanced Topics in Mathematics course should attend to standards students still need. This course may cover topics from combined higher level courses or topics which are not found in other higher level courses but are of interest to students for college and career readiness. An Advanced Topics in Mathematics course may include, but is not limited to, topics found in the (+) standards of the Kentucky Academic Standards for Mathematics. This course should be locally named according to the major content of the course.

**Advanced Topics in Mathematics: Foundations of College Algebra**

Course Description: Prepares students to take College Algebra with College Algebra Workshop. Introduces operations on integers, decimals, and fractions; ratios, proportions, and percents; simplifying radicals and algebraic expressions; solving linear and quadratic equations; linear inequalities; solving formulas; factoring; slope and graphing lines. Lecture: 4 credits (60 contact hours).

#### INTEGRATED MATH 3

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 the third course 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, Geometry and Algebra 2. Typically, Integrated 3 has a blend of geometric, algebraic and statistical concepts using modeling. This course contains "modeling" standards.

#### INTEGRATED MATH 4

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 Credits 1.0

Course Description: This course is the fourth course of Integrated Mathematics. An integrated approach to high school mathematics is typically seen internationally and consists of a sequence of 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 of Algebra 1, Geometry, Algebra 2 and Pre-Calculus. As such, this course is the fourth year of an integrated mathematics sequence and should address the remaining required Kentucky Academic Standards for Mathematics not included in Integrated 3. Additionally, an Integrated/Applied Mathematics 4 course may include, but is not limited to, topics found in the (+) standards of the KAS for Mathematics. This course contains modeling standards.

#### ADVANCED PLACEMENT (AP) STATISTICS

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.

#### JCTC MATH 150 (College Algebra) -- 3 hours

Graduation Requirement possibility for 4th math credit

Offered at OCHS and JCTC Carrollton

Suggested 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.

* There is an $80 charge for ALEKS e-resource for this college dual credit course.

#### JCTC STA 220 (Introduction to Statistics) – 3 Hours

Math Elective/Graduation Requirement possibility for 4th math credit

Suggested Grade Level: 12

Prerequisite: 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.

#### ADVANCED PRE-CALCULUS

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.

#### ADVANCED PLACEMENT (AP) CALCULUS AB

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.

#### ADVANCED PLACEMENT (AP) CALCULUS BC

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.