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 *
       • Multiple Choice Practice - Topic: Operations

           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 *
         • Multiple Choice Practice - Topic: Variables and Expressions

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 *
        • Multiple Choice Practice - Topic: Equations and 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 *
       • Multiple Choice Practice - Topic: Coordinate Geometry

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

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 *
       • Multiple Choice Practice - Topic: Working with Data

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
        • Multiple Choice Practice - Topic: Probability

Contact Person: Donna M. Roberts (donrob@twcny.rr.com)

The materials (text, graphics, video clips, etc) from this Integrated Algebra website are protected by copyright law.
The materials are for classroom or personal use only.
The materials are not to be publically distributed in part or whole.
The materials are not to be reposted to the internet in part or whole. Thank you.