Mathematics » 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