Course Overview: This course will follow the normal content of a first-year high school algebra class. In the fall we will begin with a re-introduction of the fundamental operations of arithmetic, with a special focus on division, factors, fractions, and exponents. Then we will introduce the idea of expressions, functions, equations, and systems of equations, including both algebraic and graphical presentations, and the idea of modeling real-world phenomena with equations. The semester will end with the introduction of quadratic and higher-order polynomial functions and the Fundamental Theorem of Algebra.
In the spring we will continue our exploration of quadratic functions. We will also extend our understanding of algebra to new functional forms, including rational functions, inverse functions, exponential functions, and logarithmic functions. We will introduce several special topics, including sequences and series, the binomial theorem, probability, and representation of data.
Course Objectives: (course will cover all learning objectives for the Virginia Standards of Learning)
An understanding of:
● the concepts of function, solution set, derivative, and integral
● the concept of solutions sets for standard functions including polynomials, and exponential and logarithmic functions.
● The fundamental theorems of arithmetic and algebra
● the visual representation of functions in Cartesian space.
● the application of algebra problems in Newtonian mechanics, economics, and other fields.
● the history of math and its place in the scientific revolution and in society, philosophy.
● the ability to learn how to learn math independently, including keeping a “commonplace book.”
Course Requirements:
● Students must attend classes in compliance with the instructor’s attendance policy.
● Students must have completed Pre-Algebra with a grade of C or better or have been assessed by the instructor as prepared to take the class.
● Students must complete all assignments and assessments. Students should expect to complete approximately two to three hours of independent work each week.
● Students must comply with specific policies in the course established by the instructor.
Grades are optional, class may be taken pass/fail. Exercises — (Ungraded) We learn math by doing math, therefore exercises will be assigned in this course almost daily. Some exercises will be completed in class with peers, some at home individually. Weekly quizzes – worth up to 50% of the final grade. End of Term Exams – at least 40% of the final grade, and up to 100%.
Textbook: Algebra 1 by Paul A. Foerster, ISBN: 0131657089, ISBN13: 9780131657083
Instructor: Dr. Menes
Minimum Student Enrollment: 5
Course Length: Two, 1 hr classes per week / 12 weeks / 24 hours of instruction/ Tuesday & Thursday classes
Cost: $330 per semester
