Course Description:
This course is designed to teach through various geometric investigations.  Topics include:  Inductive Reasoning, Building Blocks of Geometry, Using Tools of Geometry, Line and Angle Properties, Triangle Properties, Polygon Properties, Circles, Transformations, Area, Pythagorean Theorem, Volume, Similarity, Geometric Proofs, Sequences of Proofs.

Assessment:
 Grades are based on:  
20% in class work
30% homework
50% tests and projects

Text:  Algebra 2

Authors:  Larson, Boswell. Kanold, Stiff

Publisher:  McDougal Little, 2001

Content:

Chapter 1: Equations and Inequalities

Real Numbers and Number Operations

Algebraic Expressions and Models

Solving Linear Equations

Rewriting Equations and Formulas

Problem Solving Using Algebraic Models

Solving Linear Inequalities

Solving Absolute Value Equations and Inequalities

Chapter 2: Linear Equations and Functions

Functions and Their Graphs

Slope and Rate of Change

Quick Graphs of Linear Equations

Writing Equations of Lines

Correlation and Best-Fitting Lines

Linear Inequalities in Two Variables

Piecewise Functions

Absolute Value Functions

Chapter: 3 Systems of Linear Equations and Inequalities

Solving Linear Systems by Graphing

Solving Linear Systems Algebraically

Graphing and Solving Systems of Linear Inequalities

Linear Programming

Graphing Linear Equations in Three Variables

Solving Systems of Linear Equations in Three Variables

Chapter 4: Matrices and Determinant

Matrix Operations

Multiplying Matrices

Determinants and Cramer’s Rule

Identity and Inverse Matrices

Solving Systems Using Inverse Matrices

Chapter 5: Quadratic Functions

Graphing Quadratic Functions

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Finding Square Roots

Complex Numbers

Completing the Square

The Quadratic Formula and the Discriminant

Graphing and Solving Quadratic Inequalities

Modeling with Quadratic Functions

Chapter 6: Polynomials and Polynomial Functions

Using Properties of Exponents

Evaluating and Graphing Polynomial Functions

Adding, Subtracting, and Multiplying Polynomials

Factoring and Solving Polynomial Equations

The Remainder and Factor Theorems

Finding Rational Zeros

Using the Fundamental Theorem of Algebra

Analyzing Graphs of Polynomial Functions

Modeling with Polynomial Functions

Chapter 7: Powers, Roots, and Radicals

nth roots and Rational Exponents

Properties of Rational Exponents

Power Functions and Functions Operations

Inverse Functions

Graphing Square Root and Cube Root Functions

Solving Radical Equations

Statistics and Statistical Graphs

Chapter 8: Exponential and Logarithmic Functions

Exponential Growth

Exponential Decay

The Number e

Logarithmic Functions

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Modeling with Exponential and Power Functions

Logistic Growth Functions

Chapter 9: Rational Equations and functions

Inverse and Joint Variation

Graphing Simple Rational Functions

Graphing General Rational Functions

Multiplying and Dividing Rational Expressions

Addition, Subtraction, and Complex Fractions

Solving Rational Equations

Chapter 10: Quadratic Relations and Conic Sections

The Distance and Midpoint Formulas

Parabolas

Circles

Ellipses

Hyperbolas

Graphing and Classifying Conics

Solving Quadratic Systems

Chapter 11: Sequencing and Series

An Introduction to Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences an Series

Infinite Geometric Series

Recursive Rules for Sequences

Chapter 12: Probability and Statistic

The Fundamental counting Principle and Permutations

Combinations and the Binomial Theorem

An Introductions to Probability

Probability of Compound Events

Probability of Independent and Dependent Events

Binomial Distributions

Normal Distributions

Chapter 13: Trigonometric Ratios and Functions

Right triangle Trigonometry

General Angles and Radian Measure

Trigonometric Functions of Any Angle

Inverse Trigonometric Functions

The Law of Sines

The Law of Cosines

Parametric Equations and Projectile Motion

Chapter 14: Trigonometric Graphs, Identities, and Equations

Graphing Sine, Cosine, and Tangent Functions

Translations and Reflections of Trigonometric Graphs

Verifying Trigonometric Identities

Solving Trigonometric Equations

Modeling with Trigonometric Functions

Using Sum and Difference Formulas

Using Double- ad Half-Angle Formulas