Castle Learning Online

Algebra

Castle Learning Online's Algebra is the first of three courses in a series that also includes Geometry and Trigonometry. Hundreds of multiple choice questions are worked out in full detail, with links to hints, reasons, and vocabulary definitions. Reference tables included.

Units: (click to view Sections)

Number Systems
Sections:
1. Integers and Rational Numbers
2. Properties of Real Numbers
3. Decimals, Fractions & Percentages
4. Scientific Notation
5. Irrational Numbers, Square Roots, and Powers
6. Factorials
7. Properties of Finite Number Systems
8. Exponents and Logarithms
9. Complex Numbers
Introduction to Algebra (Algebra I)
Sections:
1. Evaluating Algebraic Expressions
2. Addition & Subtraction of Polynomials
3. Solving Linear Equations in One Variable
4. Inequalities
5. Multiplication of Polynomials
6. Factoring Polynomials
7. Rational Expressions & Division of Polynomials
8. Solving Quadratic Equations by Factoring
9. Ratios, Proportions, & Direct Variation
10. Solving Systems of Equations & Inequalities
11. Word Problems
12. Adding & Subtracting Algebraic Fractions
13. Solving Linear Equations with Algebraic Fractions
14. Simplifying Algebraic Expressions by Factoring
Intermediate Algebra (Algebra II)
Sections:
1. The Quadratic Formula
2. Solving Systems of Equations
3. Algebraic Fractions & Linear Equations
4. Radical Expressions & Equations
5. Exponential Equations
6. Logarithms
7. Roots of Quadratic Equations
8. Absolute Value
9. Inverse Variation
10. Relations and Functions
11. Summations
Introduction to Graphing (Algebra I)
Sections:
1. The Real Number Line
2. The Coordinate Plane
3. The Equation of a Line
4. Systems of Equations and Inequalities
5. The Equation of a Parabola
More Graphing Techniques (Algebra II)
Sections:
1. The Equation of a Circle
2. Systems of 1st and 2nd Degree Equations
3. Inequalities
4. Ellipses & Hyperbolas
5. Exponentials and Logarithms
6. The Complex Coordinate Plane
Probability
Sections:
1. Outcomes, Sample Spaces & Tree Diagrams
2. Combinations & Arrangements
3. The Probability of an Event
4. Permutations with Repetitions
5. Combinations and the Combinations Formula
6. Probability of Combined Events
7. Binomial Expansions
8. Bernoulli Experiments
Statistics
Sections:
1. Data Sets: Mean, Median, Mode, & Percentiles/li>
2. Displaying Data/li>
3. Mean, Standard Deviation, and the Normal Distribution/li>
4. Regressions and Curve Fitting

Themes:

Mathematical Reasoning
Number and Numeration
Operations
Modeling and Multiple Representation
Measurement
Uncertainty
Patterns and Functions

Attributes:

Diagram
Table
Graph
Word Problem