ALGEBRA CURRICULUM
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
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