 ALGEBRA 2 Honors Syllabus (correlated with: Algebra and Trigonometry Structure and Method Book 2, Brown, Dolciani, Sorgenfrey, and Kane; 2000 McDougal Littell)

Fall Term

I. Quadratic Functions

• Completing the Square
• Quadratic Formula
• The Discriminant
• Equations in Quadratic Form
• Graphing y = a (x - h)^2 + k
• Transformations of Functions (Vertical and Horizontal Shifts, Vertical and Horizontal Stretches and Compression, Reflections, etc...)
• Quadratic Functions
• Odd and Even Functions
• Writing Equations of Quadratic Functions
• Applying Parametric Equations to Model Different Types of Motion
• Factoring Polynomials
• Factoring Quadratic Polynomials
• Solving Polynomial Equations
• Modeling Using Polynomial Functions
• Solving Polynomial Inequalities

II. Analytic Geometry

• Distance and Midpoint Formula
• Circles
• Parabolas
• Ellipses
• Hyperbolas
• Eccentricity
• Transformations of Conic Sections
• Solving Quadratic Systems of Equations
• Solving Linear Systems of Equations in 2 Variables, and in 3 Variables

III. Matrices

• Basic Properties of Matrices and Matrix Operations
• Solving Systems of Linear Equations by the Method of Inverse Matrices
• Applications of Matrix Models to Graph Theory (Konigsberg Bridge Problem)

IV. Absolute Value, Piecewise Defined, and Linear Functions

• Absolute Value Function
• Modeling with Piecewise Defined Functions (Taxi cab fares, postal functions, phone function, etc...)
• Greatest Integer Function (Floor Function), Ceiling Function
• Different Forms of Linear Functions (point-slope, slope-intercept, standard form, intercept form)
• Linear Function Models and Bivariate Data Analysis

V. Rational Functions

• Simplifying Rational Expressions (Laws of exponents, etc..)
• Solving Rational Equations
• Properties of Rational Functions (Domain, range, zeros, y-intercepts, points of discontinuity, horizontal and vertical asymptotes, holes)
• Graphing Rational functions (Odd and even functions)
• Modeling with Rational Functions (Boyle's Law, Force of Gravitational Attraction)

link to Algebra 2 Honors Homepage