ALGEBRA 1—Honors and CP I
Prerequisites for both levels: Satisfactory score on placement test and recommendation of teacher.
Algebra I is a one-year course designed for the freshman with average (CP1) or above average (Honors) mathematical ability and achievement. An in-depth understanding of the theory of numbers and operations and proficiency is expected. The topics covered include: numbers and sets, the language of algebra, solving equations in one variable, solving and graphing the solution sets of 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 studied. Solving quadratic equations by factoring, completing the square and the quadratic formula will be covered.
ALGEBRA 1—CP II and CP III Part 1
Prerequisites for both levels: None for 9th grade
These courses have been developed for students who plan to enter college but do not have a sufficient math background or ability to complete a one-year algebra course. Algebra I, both CPll and CPlll, is for those students whose tests indicate below average mathematic 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.
ALGEBRA 1—CPII and CP III Part 2
Prerequisites for both levels: Completion of Algebra I - Part 1
This is a follow up to CPll or CPlll Algebra 1 - 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, radical 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 studied.
PLANE GEOMETRY
Prerequisites for all levels: Algebra I or its equivalent, placement per teacher recommendation.
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.
ALGEBRA II
Prerequisites for all levels: Completion of Geometry Level by recommendation of teacher.
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.
ALGEBRA IIl and TRIGONOMETRY - CPll
Prerequisites for both levels: Completion of Algebra II and teacher recommendation.
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.
PRECALCULUS—Honors and CPI
Prerequisites for both levels: Completion of Algebra II and recommendation of teacher.
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
Prerequisites: PreCalculus
This one year course in Calculus will begin with a review of fundamental PreCalculus concepts. Rules of differentiation and integration will be introduced and practiced.
AP CALCULUS
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.
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.
CONTEMPORARY MATHEMATICS
Prerequisites: Completion of CP1 Algebra II or higher. Can be taken concurrently with CP1 Pre-Calculus or higher.
Contemporary mathematics is a semester elective considered an enrichment to the basic 4 year math program. Topics may include but are not limited to: Statistics and Probability, ACT/SAT preparation, Logic, Personal Finance, Math and Pop Culture, Multi Media Math, Occupational Focus, Game Show Probability, Cryptography, and Pascal’s Pyramid and Fibonacci.
Mathematics Faculty
Ashley Brothers, Chair
Steve Dalton
Barb Gillming
Kendra Lonneman
Bill Losekamp
Christine Sennett
Katherine Tyler