# Algebra 1 Curriculum Map

Here is the Algebra 1 Overview for the Common Core State Standards Initiative
(This information was used to create the Curriculum Map and Lesson Plans along with the Mathematics Common Core Toolbox)

# Algebra 1 Curriculum Map

Unit 1 – Foundations of Algebra

 1-1 Variables and Expressions 1-2 Order of Operations and Evaluating Expressions 1-3 Real Numbers and the Number Line 1-4 Properties of Real Numbers 1-5 Adding and Subtracting Real Numbers 1-6 Multiplying and Dividing Real Numbers 1-7 The Distributive Property 1-8 An Introduction to Equations 1-9 Patterns, Equations, and Graphs

Unit 2 – Solving Equations

 2-1 Solving One-Step Equations 2-2 Solving Two-Step Equations 2-3 Solving Multi-Step Equations 2-4 Solving Equations with Variables on Both Sides 2-5 Literal Equations and Formulas 2-6 Ratios, Rates, and Conversions 2-7 Solving Proportions 2-8 Proportions and Similar Figures 2-9 Percentages 2-10 Change Expressed as a Percent

Unit 3 – Solving Inequalities

 3-1 Inequalities and Their Graphs 3-2 Solving Inequalities Using Addition and Subtraction 3-3 Solving Inequalities Using Multiplication or Division 3-4 Solving Multi-Step Inequalities 3-5 Working with Wets 3-6 Compound Inequalities 3-7 Absolute Value Equations and Inequalities 3-8 Union and Intersection of Sets

Unit 4 – An Introduction to Functions

 4-1 Using Graphs to Relate Two Quantities 4-2 Patterns and Linear Functions 4-3 Patterns and Nonlinear Functions 4-4 Graphing a Function Rule 4-5 Writing a Function Rule 4-6 Formalizing Relations and Functions 4-7 Arithmetic Sequences

Unit 5 – Linear Functions

 5-1 Rate of Change and Slope 5-2 Direct Variation 5-3 Slope-Intercept Form 5-4 Point-Slope Form 5-5 Standard Form 5-6 Parallel and Perpendicular Lines 5-7 Scatter Plots and Trend Lines 5-8 Graphing Absolute Value Functions

Unit 6 – Systems of Equations and Inequalities

 6-1 Solving Systems by Graphing 6-2 Solving Systems Using Substitution 6-3 Solving Systems Using Elimination 6-4 Applications of Linear Systems 6-5 Linear Inequalities 6-6 Systems of Linear Inequalities

Unit 7 – Exponents and Exponential Functions

 7-1 Zero and Negative Exponents 7-2 Multiplying Powers with the Same Base 7-3 More Multiplication Properties of Exponents 7-4 Division Properties of Exponents 7-5 Rational Exponents and Radicals 7-6 Exponential Functions 7-7 Exponential Growth and Decay

Unit 8 – Polynomials and Factoring

 8-1 Adding and Subtracting Polynomials 8-2 Multiplying and Factoring 8-3 Multiplying Binomials 8-4 Multiplying Special Cases 8-5 Factoring x^2 + bx + c 8-6 Factoring ax^2 + bx + c 8-7 Factoring Special Cases 8-8 Factoring by Grouping

Unit 9 – Quadratic Functions and Equations

 9-1 Quadratic Graphs and Their Properties 9-2 Quadratic Functions 9-3 Solving Quadratic Equations 9-4 Factoring to Solve Quadratic Equations 9-5 Completing the Square 9-6 The Quadratic Formula and the Discriminant 9-7 Linear, Quadratic, and Exponential Models 9-8 Systems of Linear and Quadratic Equations

Unit 10 – Radical Expressions and Equations

 10-1 Pythagorean Theorem 10-2 Simplifying Radicals 10-3 Operations with Radical Expressions 10-4 Solving Radical Equations 10-5 Graphing Square Root Functions 10-6 Trigonometric Ratios

Unit 11 – Rational Expressions and Functions

 11-1 Simplifying Rational Expressions 11-2 Multiplying and Dividing Rational Expressions 11-3 Dividing Polynomials 11-4 Adding and Subtracting Rational Expressions 11-5 Solving Rational Expressions 11-6 Inverse Variation 11-7 Graphing Rational Functions

Unit 12 – Data Analysis and Probability

 12-1 Organizing Data Using Matrices 12-2 Frequency and Histograms 12-3 Measures of Central Tendency and Dispersion 12-4 Box-and-Whisker Plots 12-5 Samples and Surveys 12-6 Permutations and Combinations 12-7 Theoretical and Experimental Probability 12-8 Probability of Compound Events