Mathematics

4 credits required for graduation

Course Grade Level Difficulty Level Credit Prerequisite

Math Concepts 9, 10, 11, 12 1 See course description Focus* 9, 10, 11, 12 1 See course description Algebra I CP 9 College Prep 1 Algebra I Honors 9 Honors 1 See course description Geometry CP 9,10 College Prep 1 Algebra I CP or Foundations Geometry Honors 9,10 Honors 1 See course description Algebra II CP 10,11 College Prep 1 Geometry Algebra II Honors 9,10,11 Honors 1 See course description Algebra III CP 11,12 College Prep 1 Algebra II PreCalculus CP 9,10,11,12 College Prep 1 Algebra II PreCalculus Honors 9,10,11,12 Honors 1 See course description Calculus CP 11,12 College Prep 1 PreCalculus CP or Honors AP Calculus AB 11,12 Honors 1 See course description Statistics CP 11,12 College Prep 1 Algebra II CP or Honors AP Statistics 10,11,12 Honors 1 PreCalculus CP or Honors AP AP Calculus BC 11, 12 Honors ½ AP Calculus AB Multivariable Calc. I Honors 11, 12 Honors ½ AP Calculus BC Multivariable Calc. II Honors 12 Honors ½ AP Calc. BC & Multivar.Calc. I

Explanation of Math Pathways:

The college preparatory level is designed for most college-bound students. Students in 8th or 9th grade can be placed in Algebra I CP.

A student who takes Honors Algebra I in 6th, 7th or 8th grade is at the accelerated level. This is for exceptionally strong math students.

MATH CONCEPTS

Grade Level 9,10,11,12 Course Credit: 1 credit, 5 periods/week, full year

Description: Math Concepts is a course that serves a variety of purposes. It is designed to help students review and relearn vital concepts. Each new math course builds on the knowledge and skills students learned in previous math courses, therefore it is crucial that students have a strong mathematical foundation. Math Concepts also provides extra instruction and is typically taken concurrently with their current math course. Finally, Math Concepts helps prepare students for their upcoming high stakes test, whether that be the Ohio AIR tests, or college entrance tests.

Prerequisite: Teacher recommendation Fees: None

FOCUS

Grade Level: 9, 10, 11, 12 Course Credit: 1 elective credit, 5 periods/week, full year Students in this course will also be enrolled in a core Math course.

This elective credit course is designed to enhance foundational math and reading skills based on staff recommendations. Students work at their individual level on either reading and/or math skills and are assisted with any questions or needs they have within their regular coursework. The emphasis is on skill development, but teachers also provide a grade check once a week to monitor work completion in all classes.

Prerequisite: Teacher recommendation Fees: None NOTE: This course may not be substituted for required Math courses

ALGEBRA I CP

Grade Level: 9 Course Credit: 1 credit, 5 periods/week, full year

Description: The structure and properties of real numbers are reviewed and extended; the concept of variables is Expanded. Emphasis is placed on the four basic operations on integers and fractions, linear equations and inequalities, problem solving, laws of exponents, factoring, techniques for simplifying and combining rational and irrational numbers, a study of the coordinate plane, ratio and proportion, systems of linear equations, and systems of linear equations and inequalities.

Prerequisite: Teacher recommendation Fees: None. A TI83 or TI84 graphing calculator is required.

ALGEBRA I HONORS

Grade Level: 9 Course Credit: 1 credit, 5 periods/week, full year

Description: The structure and properties of real numbers are reviewed and extended; the concept of variables is expanded. Emphasis is placed on the four basic operations on integers and fractions, linear equations and inequalities, problem solving, laws of exponents, factoring, techniques for simplifying and combining rational and irrational numbers, a study of the coordinate plane, ration and proportion, systems of linear equations and inequalities, fractional and quadratic equations and functions, and data and statistical analysis.

This course is designed for students with a high mathematics aptitude and interest. The high level of effort and achievement expected demands that the student prepare daily for class and should plan to spend a minimum average of one hour on homework and test preparation each day.

Prerequisite: Successful completion of 8th grade mathematics with an 85% average of better and/or teacher recommendation. Fees: None. A TI83 or TI84 graphing calculator is required.

Grade Level: 9,10 Course Credit: 1 credit, 5 periods/week, full year

Description: This course deals with both problem solving and proofs of the properties of angles, parallel and perpendicular lines, triangles, parallelograms, trapezoids, polygons, circles, and selected solid figures.

Prerequisite: Successful completion of Algebra I CP and teacher recommendation Fees: None. A TI83 or TI84 graphing calculator is required.

GEOMETRY HONORS

Grade Level: 7,8,9,10 Course Credit: 1 credit, 5 periods/week, full year, weighted grade.

Description: This course deals with both problem solving and proofs of the properties of angles, parallel and perpendicular lines, triangles, parallelograms, trapezoids, polygons, circles, and selected solid figures, coordinate geometry, and transformation.

This course is designed for students with a high mathematics aptitude and interest. The high level of effort and achievement expected demands that the student prepare daily for class and should plan to spend a minimum average of one hour on homework and test preparation each day.

Prerequisite: Successful completion of Honors Algebra I with an 85% average or better and/or teacher recommendation. Fees: None. A TI83 or TI84 graphing calculator is required.

ALGEBRA II CP

Grade Level: 10,11 Course Credit: 1 credit, 5 periods/week, full year

Description: The course develops the properties of real numbers, linear functions, relations, graphing, systems of equations, matrices, polynomial and rational expressions, complex numbers, exponents, quadratic functions, conics and quadratic systems, logarithms, and conic section curves.

Prerequisite: Successful completion of Geometry CP and teacher recommendation Fees: None. A TI83 or TI84 graphing calculator is required.

ALGEBRA II HONORS

Grade Level: 8,9,10,11,12 Course Credit:1 credit, 5 periods/week, full year, weighted grade

Description: This course develops the properties of real numbers, systems of equations, properties of exponents, logarithms, complex numbers, and various types of functions including linear, quadratic, polynomial, absolute value, greatest integer, rational, exponential, logarithmic, and trigonometric.

This course is designed for students with a high mathematics aptitude and interest. The high level of effort and achievement expected demands that the student prepare daily for class and should plan to spend a minimum average of one hour on homework and test preparation each day. 44

Prerequisite: Successful completion of Honors Geometry with an 85% average or better and/or teacher recommendation. Fees: None. A TI83 or TI84 graphing calculator is required.

ALGEBRA III CP

Grade Level: 11,12 Course Credit: 1 credit, 5 periods/week, full year

Description: This course is designed to prepare students for an entry level college math course. It will include further development and use of algebraic concepts, equations and inequalities, graphs and functions (including polynomial, rational, exponential, logarithmic, and trigonometric) and topics in probability.

Prerequisite: Successful completion of Algebra II and teacher recommendation Fees: $20 MathXL access code. A TI83 or TI84 graphing calculator is required.

PRECALCULUS CP

Grade Level: 9,10,11,12 Course Credit: 1 credit, 5 periods/week, full year.

Description: Emphasis is placed on refinement and advancement of algebraic skills as a student moves towards calculus. The course content includes simplifying algebraic expressions, solving algebraic equations, polynomial and rational functions, graphing, conic sections, complex and transcendental numbers, circular functions (trigonometry), sequences and series, and matrices.

Prerequisite: Successful completion of Algebra II CP and teacher recommendation Fees: None. A TI83 or TI84 graphing calculator is required.

PRECALCULUS HONORS

Grade Level: 9,10,11,12 Course Credit: 1 credit, 5 periods/week, full year, weighted grade.

Description: The course follows Algebra II Honors and prepares a student for calculus. The course content includes functions, complex numbers, solving polynomial functions, exponential and logarithmic functions, trigonometry and analytic geometry, vectors, circular functions, matrices, polar equations, and parametric equations.

This course is designed for students with a high mathematics aptitude and interest., intending to pursue a math/science field. The high level of effort and achievement expected demands that the student prepare daily for class.

Prerequisite: Successful completion of Algebra II Honors with an 85% average or better and/or teacher recommendation. Fees: None. A TI83 or TI84 graphing calculator is required.

CALCULUS CP

Grade Level: 11,12 Course Credit: 1 credit, 5 periods/week, full year

Description: This course is for students who have completed PreCalculus and is designed to introduce students to the concepts of Calculus and prepare them to take Calculus at the collegiate level. Topics will include a brief review of trigonometry and polynomial functions in addition to limits, differentiation, and integration. This course does not prepare students for the AP Calculus exam but does cover a variety of topics typically taught in a first-year college Calculus course.

Prerequisite: PreCalculus CP or Honors with a “C” or higher and teacher recommendation Fees: A TI83 or TI84 graphing calculator is required.

ADVANCED PLACEMENT CALCULUS AB

Grade Level: 10, 11,12 Course Credit: 1 credit, 5 periods/week, full year, weighted grade.

Description: The AP calculus course can result in the gaining of college credit depending upon a students' score on the college board test given in May. Specific course content includes the rate of change of a function, differentiation and its applications, integration and its applications, methods of integration, transcendental functions (trigonometric, inverse trigonometric, natural logarithms and exponential), and analytic geometry. This course is designed for students with a high mathematics aptitude and interest. The high level of effort and achievement expected demands that the student prepare daily for class and should plan to spend a minimum of one-half hour on homework and test preparation each day.

Prerequisite: Successful completion of Honors PreCalculus with an 85% average or better and teacher recommendation Fees: $97.00 for the Advanced Placement Calculus AB exam. A TI83 or TI84 graphing calculator is required.

STATISTICS CP

Grade Level: 11,12 only Course Credit: 1 credit, 5 periods/week, full year

Description: Statistics is for students intending to enter fields that deal with the collection and analysis of data. The course covers descriptive statistics, probability, distributions, testing, correlation, and regression.

Prerequisite: Successful completion of Algebra II CP or Honors Algebra II and teacher recommendation. It is strongly recommended that PreCalculus be taken concurrently (or previously). Fees: $20 MathXL access code. A TI83 or TI84 graphing calculator is required.

ADVANCED PLACEMENT STATISTICS

Grade Level: 10,11,12 Course Credit: 1 credit, 5 periods/week, full year, weighted grade.

Description: The advanced placement statistics course is an accelerated in-depth study of the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Specific course content includes constructing and interpreting graphical displays of univariate and bivariate data, sampling methods, probability theory and distributions, (binomial, geometric, poisson, normal), hypothesis testing, regression and correlation, chi-square and F distributions and nonparametric statistics.

This course is designed for students with a high mathematics aptitude and interest. The high level of effort and achievement demands that the student be prepared to work at a consistent and accelerated pace.

Prerequisite: Successful completion of Algebra II CP or Honors Algebra II and teacher recommendation. It is strongly recommended that PreCalculus be taken concurrently (or previously). Fees: $20 MathXL access code plus $97.00 for the Advanced Placement Statistics exam. A TI83 or TI84 graphing calculator is required.

ADVANCED PLACEMENT CALCULUS BC

Grade Level: 11, 12 Course Credit: ½ credit, 5 periods/week, one semester weighted grade

Description: This semester-long course is designed to build upon the material learned in AP Calculus AB and prepare students to take the Advanced Placement Calculus BC exam. Students will complete the AP Calculus BC curriculum studying techniques of integration, indeterminate forms, improper integrals, infinite series, parametric equations, polar coordinates, and vector functions and their applications. This is the first of two semester-long courses in advanced calculus. The student should also plan to enroll in Multivariable Calculus Honors (described below).

Prerequisites: Successful completion of AP Calculus AB with a grade of “A” or “B” and a score of 4 or 5 on the AP Calculus AB Exam and teacher recommendation. Fees: $97.00 for the Advanced Placement Calculus BC exam. A TI83 or TI84 graphing calculator is required.

MULTIVARIABLE CALCULUS I HONORS

Grade Level: 11, 12 Course Credit: ½ credit, 5 periods/week, one semester, weighted grade

Description: In this, the second semester-long course in advanced calculus, students will begin the study of Multivariable Calculus with applications of vector functions, conic functions, surfaces in space, and cylindrical and spherical coordinates. Multiple integrals, line integrals, partial derivatives, and differentials will be investigated as well as a beginning study of vector analysis. Toward the beginning of the fourth quarter, attention will return to the AP Calculus BC curriculum to prepare for the AP Calculus BC Exam in May.

Prerequisite: Successful completion of AP Calculus BC with a grade of “A” or “B” and teacher recommendation. Fees: None. A TI83 or TI84 graphing calculator is required.

MULTIVARIABLE CALCULUS II HONORS

Grade Level: 12 Course Credit: 1 credit, 5 periods/week, full year, weighted grade

Description: This course is a year-long course to be taken after successful completion of Multivariable Calculus I. Topics covered in Multivariable Calculus I will be revisited at a much deeper level. Multiple integration will be investigated in the form of double and triple integrals and their applications. Other areas of exploration are surface integrals, vector fields, Green’s Theorem, Divergence Theorem, and Stoke’s Theorem. This course uses an MIT OpenCourseWare offering and requires a significant amount of independent study.

Prerequisite: Successful completion of AP Calculus BC and Multivariable Calculus I with a grade of “A” or “B” and a score of 4 or 5 on the AP Calculus BC Exam and teacher recommendation Fees: None. A TI83 or TI84 graphing calculator is required.