Regents Prep Center ALGEBRA

Each subtopic below contains a lesson page, an interactive student practice page, and a teacher resource page. Sections denoted with * have Graphing Calculator references. Note: Certain topics in the NYS Learning Standards cross strands, such as "parabolas" occurring under both the Algebra and Geometry strands. This site presents such topics in only one location.

Number Sense and Operations Strand

1. Number Theory
             • Properties of Real Numbers

2. Operations
         • Radicals
         • Scientific Notation *
         • Fractions, Percents, Ratios, Proportions *
         • Direct Variation
         • Exponents (Powers) *
         • Factorials *
         • Absolute value *

           Pre-Algebra Review (a review of some topics needed for Algebra)
                  • Rational and Irrational Numbers
                  • Order of Operations
                  • Signed Numbers

Algebra Strand

3. Variables and Expressions
          • Algebraic Representations
          • Addition and Subtraction of Polynomials
          • Multiplication of Polynomials *
          • Division of Polynomials *
          • Algebraic Fractions and Equations *
          • Factoring *

4. Equations and Inequalities
          • Algebraic Translations
          • Linear Equations *
          • Systems of Linear Equations (Algebraic and Graphic) *
          • Literal Equations
          • Quadratic Equations *
          • Linear-Quadratic Systems *
          • Exponential Growth and Decay *
          • Linear Inequalities (single variable) *
         • Graphing Linear Inequalities *
          • Systems of Inequalities *

5. Patterns, Functions, and Relations
         • Set-builder and Interval Notation
         • Working with Sets and Venn Diagrams
         • Definition of Function

6. Trigonometric Functions
         • Pythagorean Theorem
         • Trigonometric Ratios (using sine, cosine, tangent) *

Geometry Strand

7. Coordinate Geometry
         • Slopes and Equations of Lines *
         • Parallels and Perpendiculars
         • Parabolas *
         • Graphing Functions and Examining Coefficients *

8. Shapes
• Area and Perimeter of Polygons & Circles *
• Volume and Surface Area of Rectangular Solids and Cylinders *

Measurement Strand

9. Measurement
       • Metric/English Conversions and Rates
         • Error in Measurement updated 4/08

Probability and Statistics Strand

10. Working with Data
       • Categorizing Data and Bias
         • Central Tendency: Mean-Mode-Median *
         • Displaying Data * (histogram, cumulative frequency histogram, quartiles, box & whisker)
   • Scatter Plots, Correlation, Line of Best Fit, Prediction *
• Percentiles and More Quartiles *

11. Probability
        • Counting Principle
        • Permutations *
        • Sample Spaces and Tree Diagrams
        • Single & Compound Events
        • Theoretical versus Empirical Probability
        • Mutually Exclusive & Independent Events, Complement
        • Conditional Probability
        • Problems Involving AND & OR