Algebra 1 Curriculum Map

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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

7-8 Geometric Sequences

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

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