Honors Algebra I Course Content

This in-depth college preparatory course is the formal introduction to Algebra. This is a course for students of advanced ability in solving problems critically and analytically. Topics covered include: patterns, operations, functions, systems of equation and inequalities, exponents and exponential functions, polynomials and factoring, quadratics, rationals, radicals, coordinate geometry, probability and statistics and transformations. Assignments include considerable work to be done by the student outside of class time.

Unit 1: Foundations for Algebra Variables and Expressions Adding Real Numbers Subtracting Real Numbers Multiplying and Dividing Real Numbers Powers and Exponents Square Roots and Real Numbers Order of Operations Simplifying Expressions Introduction to Functions	Unit 2: Equations Solving Equations by Adding and Subtracting Solving Equations by Multiplying and Dividing Solve Two-Step Equations Multistep Inequalities Solving for a Variable Rates, Ratios, and Proportions Applications of Proportions Percents Application of Percents Percent Increase and Decrease Solving Absolute Value Equations
Unit 3: Inequalities Graphing and Writing Inequalities Solving Inequalities Solving Multistep Inequalities Solving Compound Inequalities Solving Absolute-Value Inequalities	Unit 4: Functions Graphing Relationships Relations and Functions Writing Functions Graphing Functions Scatterplots and Trendlines Arithmetic Sequences
Unit 5: Linear Functions Indentifying Linear Functions Using Intercepts Rate of Change and Slope The Slope Formula Direct Variation Slope Intercept Form Point Slope Form Slopes of Parallel and Perpendicular Lines Transforming Linear Functions	Unit 6: Systems of Equations and Inequalities Solving Systems of Equations By Graphing The Substitution Method The Elimination Method Solving Special Systems Solving Linear Inequalities Solving Systems of Linear Inequalities
Unit 7: Exponents and Polynomials Integer Exponents Powers of 10 & Scientific Notation Multiplication Properties of Exponents Division Properties of Exponents Polynomials Adding and Subtracting Polynomials Multiplying Polynomials Special Products of Binomials	Unit 8: Factoring Polynomials Factors and Greatest Common Factors Factoring By GCF Factoring Trinomials Factoring Special Products Choosing a Factoring Method
Unit 9: Quadratic Functions & Equations Identifying Quadratic Functions Characteristics of Quadratic Functions Graphing Quadratic Functions Transforming Quadratic Functions Solving Quadratic Equations by Graphing Solving Quadratic Equations by Factoring Solving Quadratic Equations by Using Square Roots Completing the Square The Quadratic Formula and the Discriminant	Unit 10: Data Analysis and Probability Organizing and Displaying Data Frequency and Histograms Data Distributions Misleading Graphs and Statistics Experimental Probability Theoretical Probability Independent and Dependent Events Compound Events Combinations and Permutations
Unit 11: Exponential and Radical Functions Geometric Sequences Exponential Functions Exponential Growth and Decay Linear, Quadratic and Exponential Models Square Root Functions Radical Expressions Adding and Subracting Radical Expressions Solving Radical Equations Rational Exponents	Unit 12: Rational Functions and Expressions Inverse Variation Rational Functions Simplifying Rational Expressions Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Dividing Polynomials Solving Rational Equations Trigonometric Ratios