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

Spring Term

I. Exponential Functions

• Rational Exponents
• Real Number Exponents
• Exponential Functions defined Explicitly and Recursively
• Modeling Involving Exponential Growth and Decay Models
• Financial Math Models (Annuities, etc..) Involving Exponential Functions
• Logistic Growth Models

II. Logarithmic Functions

• Composition and Inverses of Functions
• Logarithmic Functions
• Laws of Logarithms
• Models Involving Logarithmic Functions
• The Natural Logarithm Function

III. Sequences and Series

• Sequences Defined both Explicitly and Recursively
• Arithmetic Sequences
• Geometric Sequences
• Series and Sigma Notation
• Sums of Arithmetic and Finite Geometric Sequences

IV. Trigonometric Functions in Context of Triangle Trigonometry

• Angles and Degree Measure
• Trigonometric Functions of Acute Angles
• Trigonometric Functions of General Angles
• Values of Trigonometric Functions
• Solving Right Triangles
• The Law of Cosines
• Area of a Triangle Formula and Hero's Formula
• Law of Sines (Including Ambiguos Case of Law of Sines)
• Solving General Triangles

V. Trigonometric Functions, Graphs, and Identities

• Radian Measure and the Wrapping Function
• Circular Functions
• Periodicity and Symmetry
• Graphs of Sine and Cosine Function
• Graphs of Tangent, Cotangent, Secant, and Cosecant
• Basic Identities: Reciprocal, Cofunction, Pythagorean and Related Identities
• Trigonometric Addition Formulae (Sin(sum/difference), Cos(sum/difference), Tan(sum/difference))
• Double-Angle and Half-Angle Formulae for Sine, Cosine, and Tangent
• Inverse Sine, Cosine, and Tangent Functions
• Further work with Trigonometric Equations

Time Permitting:

VI. Vectors

• Graphical Representation of a Vector
• Operations with Vectors: Addition, Subtraction, and Scalar Multiplication
• Algebraic Operations Involving Vectors (Vector Addition, Subtraction, and Scalar Multiplication)
• Parametric Equations and Vectors

VI. Counting Methods

• Fundamental Counting Principles
• Combinations
• Powers of Binomials
• Binomial Expansion
• Binomial Expansion Applied to Binomial Probability Model
• Permutations
link to Algebra 2 Honors Homepage