Algebra 1 is a traditional course in elementary algebra with an emphasis on solving problems. The course falls into four basic parts: 1) the four operations on real numbers and their use in the solution of simple equations and related problems; 2) polynomials, factoring, and fractions, leading to the solution of more complicated problems; 3) inequalities, functions and relations, and systems of open sentences; and 4) irrational numbers and quadratic functions and equations. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.
Geometry
The course reviews the basic concepts, terminology, and notation involved in geometry, and is designed for the student who successfully completed Algebra 1 as a freshman, though any student may apply. Both abstract and practical aspects are covered. Conditional statements, conjectures, theorems, and written justifications are systematically brought into the course, along with the subjects to which they pertain, in the context of problem solving as well as in the context of the preparation of formal proofs. Students construct an understanding by spending some of their class time working in collaborative learning groups. Review of algebraic and geometric concepts is employed throughout the course. In this way, algebra skills are maintained and the students are better prepared to enter into the geometric aspects of advanced algebra, math analysis, precalculus, and calculus courses. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.
Algebra 2
The first part of the course reviews basic terminology, notation, concepts, skills, and application of elementary algebra by examination of the real number system. This part includes real number concepts and skills involving operations with positive and negative numbers and zero, solution of linear equations and inequalities, one and two variable equations, solving verbal problems, properties of polynomials and rational expressions. Ideas such as set, variable, number line, open sentence, ordered pair, equivalent sentences, and Cartesian coordinate system are studied and the student is required to demonstrate ability to solve problems involving these concepts.
The course also includes the concepts of function and relation and emphasizes linear and quadratic relations and functions. The text chapters discussing this material employ symbols, concepts, and methods presented in the earlier chapters. Thus, the course continually grows and builds on learned material. The course also includes discussions on exponential functions and logarithms, and a short look at trigonometry. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.
Precalculus
This course is designed to give a thorough preparation for college Calculus. The course content is the same as Precalculus Honors, but is presented at a slower rate and with additional algebra review. Most of the course is an analysis of families of functions and relations – polynomials; rational functions; radical functions; trigonometric functions, including an intense study of right triangle trigonometry, its applications to vectors, circular functions, and trigonometric identities; logarithmic functions; and exponential functions — and their graphs both algebraically and through the graphing calculator, including an introduction to the fundamental aspects of Calculus and an introduction to limits, derivatives, and general curve sketching. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.