Algebra

Number Sense and Operations Strand

  1. Number Theory

    1. Properties of Real Numbers
      1. Binary Operations
      2. Closure Property
    2. Multiple Choice Practice: Real Numbers
  2. Operations

    1. Radicals
    2.  Scientific Notation
    3. Fractions, Percents, Ratios, Proportions
    4. Direct Variation
    5. Exponents (Powers)
    6. Factorials
    7. Absolute value
    8. Multiple Choice Practice: Operations
  3. Pre-Algebra Review (a review of some topics needed for Algebra)

    1. Rational and Irrational Numbers
    2. Order of Operations
    3. Signed Numbers
    4. Multiple Choice Practice: Pre-Algebra Review

Algebra Strand

  1.  Variables and Expressions

    1. Algebraic Representations
    2. Addition and Subtraction of Polynomials
    3. Multiplication of Polynomials *
    4. Division of Polynomials *
    5. Algebraic Fractions and Equations *
    6. Factoring *
    7. Multiple Choice Practice: Variables and Expressions (interactive & hardcopy)
  2. Equations and Inequalities

    1. Algebraic Translations
    2. Linear Equations *
    3. Systems of Linear Equations (Algebraic and Graphic) *
    4. Literal Equations
    5. Quadratic Equations *
    6. Linear-Quadratic Systems *
    7. Exponential Growth and Decay *
    8. Linear Inequalities (single variable) *
    9. Graphing Linear Inequalities *
    10. Systems of Inequalities *
    11. Multiple Choice Practice: Equations and Inequalities (interactive & hardcopy)
  3. Patterns, Functions, and Relations

    1. Set-builder and Interval Notation
    2. Working with Sets and Venn Diagrams
    3. Definition of Function
    4. Multiple Choice Practice: Patterns, Functions, Relations (interactive & hardcopy)
  4. Trigonometric Functions

    1. Pythagorean Theorem
    2. Trigonometric Ratios (using sine, cosine, tangent) *
    3. Multiple Choice Practice: Pythagorean Thm & Trigonometry (interactive & hardcopy)

Geometry Strand

  1. Coordinate Geometry

    1. Slopes and Equations of Lines *
    2. Parallels and Perpendiculars
    3. Parabolas *
    4. Graphing Functions and Examining Coefficients *
    5. Multiple Choice Practice: Coordinate Geometry (interactive & hardcopy)
  2. Shapes

    1. Area and Perimeter of Polygons & Circles *
    2. Volume and Surface Area of Rectangular Solids and Cylinders *
    3. Multiple Choice Practice: Shapes (interactive & hardcopy)

Measurement Strand

  1. Measurement

    1. Metric/English Conversions and Rates
    2. Error in Measurement
    3. Multiple Choice Practice: Measurement (interactive & hardcopy)

Probability and Statistics Strand

  1. Working with Data

    1. Categorizing Data and Bias
    2. Central Tendency: Mean-Mode-Median *
    3. Displaying Data *(histogram, cumulative frequency histogram, quartiles, box & whisker)
    4. Scatter Plots, Correlation, Line of Best Fit, Prediction *
    5. Percentiles and More Quartiles *
    6. Multiple Choice Practice – Topic: Working with Data (interactive & hardcopy)
  2. Probability

    1. Counting Principle
    2. Permutations *
    3. Sample Spaces and Tree Diagrams
    4. Theoretical versus Empirical Probability
    5. Mutually Exclusive & Independent Events, Complement
    6. Conditional Probability
    7. Problems Involving AND & OR
    8. Multiple Choice Practice – Topic: Probability (interactive & hardcopy)

Resources for Algebra Teachers

  1. Study Tips for Math
  2. Algebra Teaching Strategies
  3. About the Exam