**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