Mathematics

• Department Coordinator
• Mathematics Course of Study

Transitions Algebra

(Year course--5 periods per week--1 credit)
NOTE: Upon the recommendation of the Mathematics Department, either this course or Algebra I is required.
For students who have had difficulty with algebraic concepts and integers in Pre-Algebra as determined by the Pre-Algebra Instructor. This course will not serve as a college entrance requirement.

AIMS: To develop basic skills in Algebra. To prepare students for the Ohio High School Graduation Examination.
CONTENT: Mathematical symbols; signed numbers; operations with polynomials; first order equations and inequalities and their applications; products and factors; operations with fractions; functions, relations, and graphs; systems of open sentences in two variables; powers and roots; quadratic equations, data analysis; measurement; basic trigonometry.

• Course Syllabus

Algebra I

(Year course--5 periods per week--1 credit)
Grades 9, 10, 11, 12

NOTE: Students will be required to purchase a TI-83 graphing calculator.

NOTE: Upon the recommendation of the Mathematics Department, and as determined in part by the Algebra Prognosis test, either this course or Informal Algebra is required.

AIMS: To understand the structure of the number system; to develop the ability to perform computations with algebraic expressions; to develop the ability to use an analytical approach to mathematical problems; to appreciate the importance of a knowledge of mathematics for intelligent and useful citizenship.
CONTENT: Mathematical symbols; signed numbers; operations with polynomials; first order equations and inequalities and their applications; products and factors; operations with fractions; functions, relations, and graphs; systems of open sentences in two variables; powers and roots; quadratic equations.

• Course Syllabus - Mrs. Visnick
  
  
• Course Syllabus - Mr. D'Orazio

• Course Syllabus - Mr. Martin

Honors Algebra I

NOTE: Students will be required to buy a Tl-83 graphing calculator. NOTE: Pre-Algebra and permission of the instructor.

AIMS: To understand the structure of the number system; to develop the ability to perform computations with algebraic expressions; to develop the ability to use an analytical approach to mathematical problems; to appreciate the importance of a knowledge of mathematics for intelligent and useful citizenship.
CONTENT: Mathematical symbols; signed numbers; operations with polynomials; first order equations and inequalities and their applications; products and factors; operations with fractions; functions, relations, and graphs; systems of open sentences in two variables; powers and roots; quadratic equations.

Course Syllabus

Honors Algebra II

Prerequisite: Grade 8 - Honors Algebra I; Grades 10, 11 - Algebra I, Geometry, and permission of the instructor

NOTE: Students will be required to purchase a TI-83 graphing calculator.
NOTE: Students must maintain a B- average or have permission of the instructor to remain in the course second semester.

AIMS: To prepare students for the rigorous study of Honors Mathematics at the advanced level; to introduce students to the four Advanced Placement methods of solution: algebraic, numerical, graphical, and verbal.
CONTENT: Equations: linear, quadratic, matrix, radical, rational, exponential, and logarithmic. Inequalities: linear and quadratic. Simplifying and factoring expressions: polynomial, quadratic, perfect cubes, exponents, logarithms, rational, irrational, complex. Systems: 2x2 and 3x3. Analytic Geometry: distance, midpoint, lines, parabolas, circles, ellipses, hyperbolas, variation.

• Course Syllabus

Geometry

Prerequisite: Algebra I

AIMS: To have students enhance their vocabulary with geometric terminology; to understand inductive and deductive reasoning; to promote the ability to think creatively; to introduce the analytical approach to geometric relationships, especially through the use of formal proof.
CONTENT: Basic properties and terminology; methods of reasoning and proofs; congruence; parallels, constructions and loci; polygons; proportional line segments; similar figures; circles; measurement of angles and arcs in a circle; areas of polygons; Pythagorean theorem; volume of solids; trigonometry; coordinate geometry.

• Course Syllabus

Honors Geometry

(Year course--5 periods per week--1 credit)
Grade 10

Prerequisite: Honors Algebra II

AIMS: To have students enhance their vocabulary with geometric terminology; to understand inductive and deductive reasoning; to promote the ability to think creatively; to introduce the analytical approach to geometric relationships, especially through the use of formal proof; to explore geometry through the application of this select groups' strong algebra background.
CONTENT: Basic properties and terminology; methods of reasoning and proofs; congruence; parallels, constructions and loci; polygons; proportional line segments; similar figures; circles; measurement of angles and arcs in a circle; areas of polygons; Pythagorean Theorem; volume of solids; trigonometry; coordinate geometry and transformations. This select group is expected to explore topics at a greater depth than the regular section.

• Course Syllabus

Transitions Geometry

(Year course--5 periods per week--1 credit)
Grades 10, 11, 12

NOTE: Enrollment by recommendation of the Mathematics Department.

AIMS: To cover much of the language of regular geometry without the rigor of formal proof. To acquire geometric facts pertaining to plane figures, spatial figures, and coordinate geometry.
CONTENT: Basic properties and terminology; congruence; parallels; constructions, polygons; proportional line segments; similar figures; circles; measurement of angles and arcs in a circle; areas of polygons; Pythagorean theorem; volume of solids; trigonometry; coordinate geometry.

• Course Syllabus

Algebra II

NOTE: Students will be required to purchase a TI-83 graphing calculator.

NOTE: Algebra II is usually required for college admittance.

Prerequisite: Algebra I and Geometry

AIMS: To prepare the student for further math study in high school; to introduce students to more advanced mathematics and help them determine their future in math and science endeavors.
CONTENT: Set of rational numbers; set of real numbers; operations with polynomials; relations and functions; linear functions; second degree functions; systems of equations and inequalities, exponents and radicals; exponential and logarithmic functions; complex numbers; matrices and determinants, quadratic relations and systems.

• Course Syllabus

Probability and Statistics

NOTE: Students will be required to purchase a TI-83 graphing calculator.

Prerequisite: Algebra II and Geometry

AIMS: To develop a background in statistics for students who plan to study science, math, education, or any of the social sciences in college. To develop an understanding of the uses and abuses of statistics, the importance of reliable samples, and the nature and organization of data. To give a broad picture of what statisticians do and how their work affects our lives.
CONTENT: Probability theory, random variables, organizing data, measures of central tendency and variability, the binomial distribution, the normal distribution, survey sampling techniques, simulation, bivariate data.

• Course Syllabus

Advanced Placement Statistics

Prerequisite: Probability and Statistics, and permission of the instructor.

NOTE: Students will be required to purchase a TI-83 graphing calculator.
NOTE: Students will receive proper and sufficient instruction to enable them to take the Advanced Placement Statistics Examination in May.

AIMS: To introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. To give students proper and sufficient instruction to take the Advanced Placement examination in May.
CONTENT: Exploring data--observing patterns and departures from patterns. Planning a study--deciding what and how to measure. Anticipating patterns in advance--producing models using probability and simulation. Statistical inference--confirming models.

• Course Syllabus

Honors PreCalculus

NOTE: Students will be required to purchase a TI-83 graphing calculator.

NOTE: It is recommended that a grade of "C" or better be obtained in Algebra II.

Prerequisite: Algebra II

AIMS: To present precalculus mathematics with a directness and simplicity to enable the student to develop a solid foundation for the study of calculus.
CONTENT: 1. Circular functions -- their properties, graphs, and identities; equations and inequalities; polar coordinates; triangle trigonometry; vectors and their applications. 2. Algebraic functions--sequences, series, and limits; continuity; the first and second derivatives; zeros, maxima, minima, points of inflection, sketching polynomials; exponential and logarithmic functions.

NOTE: Honors PreCalculus is offered to selected eleventh grade students with permission of the Math Department.

• Course Syllabus

Functions, Statistics and Trigonometry

Prerequisite: Geometry, Algebra II, and teacher recommendation.

AIMS: To prepare students for College Algebra and/or Introductory College Statistics courses. Not intended for students anticipating taking Calculus in the first year of college.
CONTENT: Students will simulate and model data using power, exponential, logarithmic, trigonometric, and probability functions. Students will also practice problem solving skills similar to those encountered on the 12th grade math proficiency test and the SAT and ACT College Entrance Exams.

• Course Syllabus

Advanced Placement Calculus

Prerequisite: An average of "B-" in PreCalculus or permission of the instructor.

NOTE: Students will be required to purchase a TI-83 graphing calculator.
NOTE: Students will receive proper and sufficient instruction to enable them to take the Advanced Placement Calculus Advanced Placement Examination in May.

AIMS: To present elementary calculus to the qualified student whose primary area of interest is one requiring its study. To develop an awareness of the necessity of proof and rigor in mathematics through the use of free-response (essay) problems.
CONTENT: Calculus AB: Limits continuity, differentiability, the derivative, applications of integrals, techniques of integration, the definite integral, transcendental functions.
Calculus BC: Techniques of integration, infinite series, parametric equations, vector-valued functions, and differential equations.

SPECIAL NOTE: A student may register for Geometry and Honors Algebra II in the same year to enter the Honors sequence, provided he/she has the prior approval of the Math instructor and a guidance counselor.

• Course Syllabus