# Algebra

Algebra is the first of the 3 regents Math courses. All students must pass Algebra before moving on to Geometry and Trigonometry. The one year course culminates with a Regents Exam in June.

Algebra Curriculum

1. Sets and Real Numbers

- Sets and Subsets
- Union and Intersection of Sets
- Complement of Sets
- Properties of Real Numbers

2. Expressions, Equations and Inequalities

- Evaluating Expressions
- Writing Expressions
- Writing Equations

3. Solving Equations and Inequalities

- Solving One-Step Equations
- Solving Two-Step Equations
- Solving Multi-Step Equations
- Using Linear Equations to Solve Verbal Problems
- Solving Literal Equations
- Solving Equations Involving Fractional Expressions
- Solving One-Step Inequalities
- Solving Multi-Step Inequalities

4. Polynomials and Factoring

- Multiplying and Dividing Monomials
- Scientific Notation
- Adding and Subtracting Polynomials
- Multiplying Polynomials
- Dividing Polynomials
- Factoring Algebraic Expressions
- Factoring Special Products
- Factoring Completely

5. Slope and Linear Equations

- Graphing Lines
- Slope and Rate of Change
- Slope-Intercept Form
- Parallel Lines

6. Linear Functions and Relationships

- Relations and Functions
- Graphs of Linear Functions
- Direct Variation
- Percent Equations
- Scatter Plots and Lines of Best Fit

7. Systems of Equations and Inequalities

- Graphing Systems of Linear Equations
- Solving Systems of Linear Equations Using Substitution
- Solving Systems of Linear Equations Using Elimination
- Using Systems of Equations to Solve Problems
- Graphing Linear Inequalities
- Graphing Systems of Linear Inequalities

8. Quadratic and Nonlinear Equations

- Solving Quadratic Equations
- Graphing Quadratic Functions
- Quadratic Equations and Parabolas
- Solving Systems of Linear and Quadratic Equations
- Exponential Functions
- Absolute Value Functions

9. Rational Expressions and Equations

- Simplifying Rational Expressions
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Solving Rational Equations

10. Right-Triangle Relationships

- Operations With Radicals
- Pythagorean Theorem
- Trigonometric Ratios
- Using Trigonometry to Solve Problems

11. Measurement and Geometry

- Metric Units of Measure
- Customary Units of Measure
- Perimeter and Area of Polygons
- Circumference and Area of Circles
- Surface Area of Solid Figures
- Volume of Solid Figures

12. Data Analysis and Statistics

- Measures of Central Tendency
- Box-and-Whisker Plots
- Frequency Tables and Histograms
- Data, Correlation and Causation
- Sources of Bias in Survey

13. Probability

- Empirical Probability
- Simple Probability and Complements
- Counting Outcomes and Permutations
- Independent, Dependent and Mutually Exclusive Events
- Conditional Probability