Algebra II
by Regina Heideman
August 23, 2004
Algebra II
Course Description: This course emphasizes facility with algebraic expressions and forms, especially linear and quadratic forms, powers and roots, and functions bases on these concepts. Students study logarithmic, trigonometric, polynomial, and other special functions both for their abstract properties and as tools for modeling real-world situations. A geometry course or its equivalent is prerequisite for geometric ideas are utilized throughout.
Basic Text: USCMP Advanced Algebra published by Scott Foreman 1993
Instructional Units:
Chapter 1: The Language of Algebra: A review of concepts of elementary Algebra. Sequences are introduced.
Chapter 2: Variations and Graphs: Three interrelated ideas are discussed; the first is equations of variations, the second is s graphical representation of variations and the third is modeling data using variation equations.
Chapter 3: Linear Relations: Introduces situations that lead to the various forms of linear relations.
Chapter 4: Matrices: This chapter has two goals; one is to study matrices as a means for storing data and solving problems, a second is to use matrices to review geometric transformations.
Chapter 5: Systems: Chapter five reviews and extends methods of solving systems of equations and then introduces two new concepts: solving systems of equations using matrices and linear programming.
Chapter 6: Parabolas and Quadratic Equations: This chapter continues the study of quadratic equations introduces in chapter two with a discussion of y=kx2. By the end of the chapter, students should be able to find the solutions to any quadratic equations in one variable.
Chapter 7: Functions: This chapter will 1) develop concepts and notations needed to discuss differences and similarities between functions and 2) present several new functions.
Chapter 8: Powers and Roots: Emphasized are skills, properties, and the use of powers and roots.
Chapter 9: Exponents and Logarithms: Students will gain competence in working with exponential and logarithmic functions.
Chapter 10: Trigonometry: Covered will be the sine, cosine, and tangent ratios.
Chapter 11: Polynomials: Students previous experiences will be extended to general polynomial expressions and functions.
