Pre-Calculus – Year (5250)
The demands of our present technological world require successful individuals
to think flexibly about and model a variety of complex situations. Many of these
problem situations can be modeled using the advanced families of functions that
will be studied in Pre-Calculus. These functions include exponential, power,
polynomial, rational, logarithmic, piece-wise, trigonometric functions and their
inverses. Other problem situations require knowledge of the discrete mathematical
concepts of sequences and series as well as an understanding of statistics and
probability. Pre-Calculus is a culminating high school mathematics course and
a preparatory course for calculus and statistics. In preparation for this course
students should have mastered linear and quadratic functions and have the algebraic
skills for working with rational exponents, radical expressions, and rational
expressions. Students will investigate and explore mathematical ideas in order
to obtain a deep understanding of fundamental concepts, develop multiple strategies
for analyzing complex situations, and acquire appropriate technological skills.
Students will analyze situations verbally, numerically, graphically, and symbolically
and will learn to communicate their ways of thinking about and represent their
thinking. Students who master these concepts will be better prepared to effectively
deal with a technologically advanced society. While math skills will be developed,
teaching will focus on the understanding of concepts, with depth, enabling students
to apply mathematical skills and make meaningful connections in life’s
experiences. A graphing calculator is recommended. Prerequisite: Intermediate
Algebra (5240).
Intermediate Algebra – Honors – Year (5220)
Intermediate Algebra will build upon the knowledge previously learned in elementary
algebra and geometry. It will provide students with the reasoning skills necessary
for many careers and the mathematical tools they will need to be successful
in advanced mathematics classes. The study of functions is the primary focus
of Intermediate Algebra. Exploring functions, investigating their behaviors,
and making and verifying reasonable guesses about those behaviors will develop
students’ reasoning and thinking skills. To develop these important skills,
students will study functions algebraically by traditional methods as well as
numerically and graphically using technology and manipulatives. While math skills
will be developed, teaching will focus on the understanding of concepts, with
depth, enabling students to apply math skills and make meaningful connection
in life experiences. A graphing calculator is recommended. Prerequisite: Algebra
I and Geometry.