ALGEBRA 1 - Honors, CPI, CPII
Course Numbers:
Algebra 1 - Honors 1111 Wgt. 1.06
Algebra I CP1 1113
Algebra I CP2 1116
Prerequisites for all levels: Satisfactory score on placement test and recommendation of teacher.
Credit: 1
Algebra I is a one-year course designed for the freshman with sufficient (CP2) average (CP1), or above average (Honors) mathematical ability and achievement. An in-depth understanding and proficiency of the theory of numbers and operations is expected. The topics covered include: numbers and sets, the language of algebra, solving equations in once variable, solving and graphing the solution sets if inequalities in one variable, operations with polynomials, factoring, working with algebraic fractions, functions and relations, graphs, systems of open sentences in two variables and working with irrational numbers. Setting up and solving problems will be studies. Solving quadratic equations by factoring, completing the square and the quadratic formula will be covered. These courses will prepare students for graduation tests required for Ohio.
ALGEBRA 1 – CP III Part 1
Course Number: Algebra 1 CPllI - Part 1 1115
Prerequisites : None for 9th grade
Credit: 1 (College Preparatory Units: .5)
This course has been developed for students who plan to enter college but do not have a sufficient math background or ability to complete a one-year course. Algebra I CPIII is for those students whose tests indicate below average mathematical achievement. This course will provide students with all the concepts and skills needed to meet the challenges of algebra. Part one will cover solving equations, solving inequalities, and has an introduction to functions, and linear functions. This course will prepare students for graduation tests required for Ohio.
ALGEBRA 1 – CP III Part 2:
Course Number: 1218
Prerequisites: Completion of Algebra I – Part 1
Credit: 1 (College Preparatory Units: .5)
This is a follow up to Algebra I CPIII – Part 1. This course will review the skills learned in part 1. Part 2 will cover exponents and exponential functions, polynomials and factoring, quadratic equations, redical expressions, rational expressions, and data analysis and probability. Additional topics covered will include absolute value and properties of real numbers. Students apply these concepts while solving equations. Word problems, inequalities, relations, functions, graphing, and polynomials will also be studies. This course will prepare students for graduation tests required for Ohio.
PLANE GEOMETRY – Honors, CPI, CPII, CPIII
Course Numbers:
Geometry - Honors 1211 Wgt. 1.06
Geometry - CP1 1212
Geometry - CPll 1214
Geometry - CPlll 1215
Prerequisites for all levels: Algebra I or its equivalent, placement per teacher recommendation.
Credit: 1
The Plane Geometry course places a great deal of emphasis on the concept of proof. Through the use of definitions, postulates, and theorems, the students are required to reason logically to a given conclusion. The different geometric concepts involved deal with segments, rays, lines, planes, angles, circles, triangles, quadrilaterals, and other polygons. The relationships of equality, congruency, and similarity are also explored in depth. There is also much emphasis on numeric and algebraic exercises. Area and volume formulas for various plane and solid figures are studied. Slopes, distances, and midpoints will be studied. There is also an introduction to trigonometry using right triangles in the CP1 and honors level. These courses will prepare students for the graduation tests required by Ohio.
ALGEBRA II – Honors, CPI, CPII, CPIII
Course Numbers:
Algebra ll - Honors 1221 Wgt. 1.06
Algebra ll - CPl 1312
Algebra ll - CPll 1314
Algebra ll - CPlll 1315
Prerequisites for all levels: Completion of Geometry. Level by recommendation of teacher.
Credit: 1
The course begins with a strong review of Algebra I, covering such topics as sets of numbers, open sentences in one variable, systems of linear equations, polynomial operations and factoring, and rational numbers and expressions. Work with radical expressions is used to develop an introduction to the complex number system. The concepts of relation and function, emphasizing linear and quadratic relations and functions, and the exponential and logarithmic functions over the set of real numbers, are developed. The conic sections and their properties are examined. Trigonometry is studied, concluding with Law of Sines and Cosines. Topics in probability including permutations and combinations are studied. These courses will prepare students for graduation tests required for Ohio.
ALGEBRA IIl and TRIGONOMETRY - CPll
Course Number: 1414
Prerequisites: Completion of Algebra II and teacher recommendation.
Credit: 1
This course covers many of the same topics as Algebra II but treats them in greater depth and detail while moving into trigonometry. The various aspects of practical applications are stressed with each topic. Topics covered include: absolute values, linear graphs of equations and inequalities, applications of linear systems, operations with graphing of polynomials, extensive factoring with application to equation solving, rational expressions, application of rational equations, roots, radicals, and complex numbers, quadratic equations and inequalities, quadratic and inverse functions, conic sections and trigonometry.
PRE-CALCULUS – Honors and CPI
Course Numbers:
PreCalculus – Honors 1311 Wgt. 1.06
PreCalculus – CPl 1412
Prerequisites for both levels: Completion of Algebra II. Level by recommendation of teacher.
Credit: 1
This course is designed for the fourth year of mathematics or the third year for the honors level student. Subject matter includes extensive work with functions, graphing, conic sections and logarithms. The trigonometric functions and their graphs, identities and equations are covered. The course also includes an introduction to matrices, polar coordinates and sequences and series. The final section of the course gives a brief introduction to calculus through the concepts of limits, continuity and derivatives.
CALCULUS
Course Number:1421 Wgt. 1.04
Prerequisites: Completion of Pre-Calculus
Credit: 1
This one year course in Calculus will begin with a review of fundamental Pre-Calculus concepts. Rules of differentiation and integration will be introduced and practiced.
AP CALCULUS AB
Course Number: 1411 Wgt. 1.06
Prerequisites: Teacher recommendation required and student should finish Honors Pre-Calculus with at least 80% in order to take A.P. Calculus. Available to 12th graders who have completed 4 years of honors math.
Credit: 1
This college level one-year course in Calculus will begin with a very brief review of different types of functions and examine the concepts of continuity and the limit of functions. The idea of a limit will lead to a definition of the derivative of a function. Rules for finding various types of derivatives will be developed and applications of the derivative will be explored. At this point, the concept of the “antiderivative” will be introduced and its relation to the definite integral will be examined, along with different types of functions, e.g.polynomial, logarithmic, exponential and trigonometric. Applications of the integral will be studied, setting the stage for an introduction to future higher level math courses. This course is specifically geared to prepare students to take the A.P. Calculus exam. As such, the pace is very swift and the course requires performance with and without the use of a calculator.
AP CALCULUS BC
Course Number: 1422 Wgt. 1.06
Prerequisites: Successful completion of AP Calculus AB
Credit: 1
This college level one-year course will begin with a brief review of AB topics, such as limits, optimizations, area and volume. New applications of arc length and surface areas of revolution, as well as integration by parts and integrations by partial fractions will be studied. The majority of this course deals with the Calculus of sequences and series and their divergence or convergence. This course is specifically designed to prepare students to take the AP Calculus BC exam in May.
INTRODUCTION TO STATISTICS
Course Number: 1423
Prerequisites: Complete Algebra 2. Available to 11 and 12.
Credit: 1
This course can count as a 4th year math requirement or as an additional math elective.
Introduction to Statistics is an algebra-based approach to statistics. Through exploring and understanding and modeling data, the students will develop the tools and critical thinking skills to become well-informed consumers and citizens in our world. Included topics are: 1- Exploring Data; 2 – Sampling and Experimentation; 3 – Anticipating Patterns.
Mathematics Faculty
Ashley Brothers, Chair
Steve Dalton
Barb Gillming
Kendra Lonneman
Bill Losekamp
Christine Sennett
Katherine Tyler